Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1008,2,Mod(367,1008)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1008, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 0, 4, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1008.367");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1008 = 2^{4} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1008.cz (of order \(6\), 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: | \(8.04892052375\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\sqrt{2}, \sqrt{-3})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} + 2x^{2} + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 607.1 | ||
Root | \(-0.707107 + 1.22474i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1008.607 |
Dual form | 1008.2.cz.f.367.1 |
$q$-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 \(\left(\mathbb{Z}/1008\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(577\) | \(757\) | \(785\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 | ||||||||
\(3\) | 1.73205i | 1.00000i | ||||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.621320 | + | 0.358719i | −0.277863 | + | 0.160424i | −0.632456 | − | 0.774597i | \(-0.717953\pi\) |
0.354593 | + | 0.935021i | \(0.384620\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.00000 | + | 2.44949i | 0.377964 | + | 0.925820i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −3.00000 | −1.00000 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.50000 | − | 0.866025i | −0.452267 | − | 0.261116i | 0.256520 | − | 0.966539i | \(-0.417424\pi\) |
−0.708787 | + | 0.705422i | \(0.750757\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.62132 | − | 2.09077i | −1.00437 | − | 0.579875i | −0.0948342 | − | 0.995493i | \(-0.530232\pi\) |
−0.909539 | + | 0.415618i | \(0.863565\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.621320 | − | 1.07616i | −0.160424 | − | 0.277863i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −2.74264 | + | 1.58346i | −0.665188 | + | 0.384047i | −0.794251 | − | 0.607590i | \(-0.792136\pi\) |
0.129063 | + | 0.991636i | \(0.458803\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.500000 | − | 0.866025i | 0.114708 | − | 0.198680i | −0.802955 | − | 0.596040i | \(-0.796740\pi\) |
0.917663 | + | 0.397360i | \(0.130073\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −4.24264 | + | 1.73205i | −0.925820 | + | 0.377964i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −2.37868 | + | 1.37333i | −0.495989 | + | 0.286359i | −0.727056 | − | 0.686579i | \(-0.759112\pi\) |
0.231067 | + | 0.972938i | \(0.425778\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.24264 | + | 3.88437i | −0.448528 | + | 0.776874i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | − | 5.19615i | − | 1.00000i | ||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 0.621320 | + | 1.07616i | 0.115376 | + | 0.199838i | 0.917930 | − | 0.396742i | \(-0.129859\pi\) |
−0.802554 | + | 0.596580i | \(0.796526\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.00000 | 0.718421 | 0.359211 | − | 0.933257i | \(-0.383046\pi\) | ||||
0.359211 | + | 0.933257i | \(0.383046\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 1.50000 | − | 2.59808i | 0.261116 | − | 0.452267i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −1.50000 | − | 1.16320i | −0.253546 | − | 0.196616i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.62132 | − | 2.80821i | 0.266543 | − | 0.461667i | −0.701423 | − | 0.712745i | \(-0.747452\pi\) |
0.967967 | + | 0.251078i | \(0.0807851\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 3.62132 | − | 6.27231i | 0.579875 | − | 1.00437i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −8.74264 | − | 5.04757i | −1.36537 | − | 0.788297i | −0.375038 | − | 0.927009i | \(-0.622370\pi\) |
−0.990333 | + | 0.138712i | \(0.955704\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.74264 | − | 3.31552i | 0.875744 | − | 0.505611i | 0.00649156 | − | 0.999979i | \(-0.497934\pi\) |
0.869253 | + | 0.494368i | \(0.164600\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 1.86396 | − | 1.07616i | 0.277863 | − | 0.160424i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −8.48528 | −1.23771 | −0.618853 | − | 0.785507i | \(-0.712402\pi\) | ||||
−0.618853 | + | 0.785507i | \(0.712402\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.00000 | + | 4.89898i | −0.714286 | + | 0.699854i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −2.74264 | − | 4.75039i | −0.384047 | − | 0.665188i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −0.621320 | − | 1.07616i | −0.0853449 | − | 0.147822i | 0.820193 | − | 0.572087i | \(-0.193866\pi\) |
−0.905538 | + | 0.424265i | \(0.860533\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.24264 | 0.167558 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 1.50000 | + | 0.866025i | 0.198680 | + | 0.114708i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 6.00000 | 0.781133 | 0.390567 | − | 0.920575i | \(-0.372279\pi\) | ||||
0.390567 | + | 0.920575i | \(0.372279\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 6.92820i | 0.887066i | 0.896258 | + | 0.443533i | \(0.146275\pi\) | ||||
−0.896258 | + | 0.443533i | \(0.853725\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −3.00000 | − | 7.34847i | −0.377964 | − | 0.925820i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 3.00000 | 0.372104 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −2.37868 | − | 4.11999i | −0.286359 | − | 0.495989i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 13.2621i | 1.57392i | 0.617006 | + | 0.786959i | \(0.288345\pi\) | ||||
−0.617006 | + | 0.786959i | \(0.711655\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −7.50000 | + | 4.33013i | −0.877809 | + | 0.506803i | −0.869935 | − | 0.493166i | \(-0.835840\pi\) |
−0.00787336 | + | 0.999969i | \(0.502506\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −6.72792 | − | 3.88437i | −0.776874 | − | 0.448528i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0.621320 | − | 4.54026i | 0.0708060 | − | 0.517411i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.02922i | 0.228306i | 0.993463 | + | 0.114153i | \(0.0364153\pi\) | ||||
−0.993463 | + | 0.114153i | \(0.963585\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 9.00000 | 1.00000 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −5.74264 | − | 9.94655i | −0.630337 | − | 1.09178i | −0.987483 | − | 0.157727i | \(-0.949584\pi\) |
0.357146 | − | 0.934049i | \(-0.383750\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.13604 | − | 1.96768i | 0.123221 | − | 0.213425i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −1.86396 | + | 1.07616i | −0.199838 | + | 0.115376i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −14.2279 | − | 8.21449i | −1.50816 | − | 0.870735i | −0.999955 | − | 0.00949668i | \(-0.996977\pi\) |
−0.508202 | − | 0.861238i | \(-0.669690\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.50000 | − | 10.9612i | 0.157243 | − | 1.14904i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 6.92820i | 0.718421i | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0.717439i | 0.0736077i | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −5.74264 | + | 3.31552i | −0.583077 | + | 0.336640i | −0.762355 | − | 0.647159i | \(-0.775957\pi\) |
0.179278 | + | 0.983798i | \(0.442624\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 4.50000 | + | 2.59808i | 0.452267 | + | 0.261116i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 3.62132 | + | 2.09077i | 0.360335 | + | 0.208039i | 0.669228 | − | 0.743057i | \(-0.266625\pi\) |
−0.308893 | + | 0.951097i | \(0.599958\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 5.86396 | + | 10.1567i | 0.577793 | + | 1.00077i | 0.995732 | + | 0.0922920i | \(0.0294193\pi\) |
−0.417939 | + | 0.908475i | \(0.637247\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 2.01472 | − | 2.59808i | 0.196616 | − | 0.253546i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −9.98528 | − | 5.76500i | −0.965314 | − | 0.557324i | −0.0675093 | − | 0.997719i | \(-0.521505\pi\) |
−0.897804 | + | 0.440395i | \(0.854839\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 4.37868 | + | 7.58410i | 0.419401 | + | 0.726425i | 0.995879 | − | 0.0906881i | \(-0.0289066\pi\) |
−0.576478 | + | 0.817113i | \(0.695573\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 4.86396 | + | 2.80821i | 0.461667 | + | 0.266543i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 5.74264 | − | 9.94655i | 0.540222 | − | 0.935692i | −0.458669 | − | 0.888607i | \(-0.651674\pi\) |
0.998891 | − | 0.0470849i | \(-0.0149931\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.985281 | − | 1.70656i | 0.0918780 | − | 0.159137i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 10.8640 | + | 6.27231i | 1.00437 | + | 0.579875i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −6.62132 | − | 5.13461i | −0.606975 | − | 0.470689i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −4.00000 | − | 6.92820i | −0.363636 | − | 0.629837i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 8.74264 | − | 15.1427i | 0.788297 | − | 1.36537i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | − | 6.80511i | − | 0.608668i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.594346i | 0.0527397i | 0.999652 | + | 0.0263698i | \(0.00839475\pi\) | ||||
−0.999652 | + | 0.0263698i | \(0.991605\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 5.74264 | + | 9.94655i | 0.505611 | + | 0.875744i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 8.74264 | + | 15.1427i | 0.763848 | + | 1.32302i | 0.940853 | + | 0.338814i | \(0.110026\pi\) |
−0.177005 | + | 0.984210i | \(0.556641\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 2.62132 | + | 0.358719i | 0.227297 | + | 0.0311049i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 1.86396 | + | 3.22848i | 0.160424 | + | 0.277863i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −4.50000 | + | 7.79423i | −0.384461 | + | 0.665906i | −0.991694 | − | 0.128618i | \(-0.958946\pi\) |
0.607233 | + | 0.794524i | \(0.292279\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −6.50000 | + | 11.2583i | −0.551323 | + | 0.954919i | 0.446857 | + | 0.894606i | \(0.352543\pi\) |
−0.998179 | + | 0.0603135i | \(0.980790\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | − | 14.6969i | − | 1.23771i | ||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 3.62132 | + | 6.27231i | 0.302830 | + | 0.524517i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.772078 | − | 0.445759i | −0.0641176 | − | 0.0370183i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −8.48528 | − | 8.66025i | −0.699854 | − | 0.714286i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 9.62132 | + | 16.6646i | 0.788209 | + | 1.36522i | 0.927063 | + | 0.374906i | \(0.122325\pi\) |
−0.138854 | + | 0.990313i | \(0.544342\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 20.5919 | + | 11.8887i | 1.67574 | + | 0.967491i | 0.964324 | + | 0.264723i | \(0.0852806\pi\) |
0.711419 | + | 0.702768i | \(0.248053\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 8.22792 | − | 4.75039i | 0.665188 | − | 0.384047i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −2.48528 | + | 1.43488i | −0.199623 | + | 0.115252i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 2.02922i | 0.161950i | 0.996716 | + | 0.0809748i | \(0.0258033\pi\) | ||||
−0.996716 | + | 0.0809748i | \(0.974197\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 1.86396 | − | 1.07616i | 0.147822 | − | 0.0853449i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −5.74264 | − | 4.45322i | −0.452583 | − | 0.350963i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −0.257359 | − | 0.148586i | −0.0201579 | − | 0.0116382i | 0.489887 | − | 0.871786i | \(-0.337038\pi\) |
−0.510045 | + | 0.860148i | \(0.670371\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 2.15232i | 0.167558i | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −7.86396 | + | 13.6208i | −0.608532 | + | 1.05401i | 0.382951 | + | 0.923769i | \(0.374908\pi\) |
−0.991483 | + | 0.130239i | \(0.958426\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 2.24264 | + | 3.88437i | 0.172511 | + | 0.298798i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −1.50000 | + | 2.59808i | −0.114708 | + | 0.198680i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | − | 9.79796i | − | 0.744925i | −0.928047 | − | 0.372463i | \(-0.878514\pi\) | ||
0.928047 | − | 0.372463i | \(-0.121486\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −11.7574 | − | 1.60896i | −0.888773 | − | 0.121626i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 10.3923i | 0.781133i | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −0.985281 | + | 0.568852i | −0.0736434 | + | 0.0425180i | −0.536370 | − | 0.843983i | \(-0.680205\pi\) |
0.462726 | + | 0.886501i | \(0.346871\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 13.2621i | − | 0.985761i | −0.870097 | − | 0.492881i | \(-0.835944\pi\) | ||
0.870097 | − | 0.492881i | \(-0.164056\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −12.0000 | −0.887066 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 2.32640i | 0.171040i | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 5.48528 | 0.401124 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 12.7279 | − | 5.19615i | 0.925820 | − | 0.377964i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 18.1610i | 1.31409i | 0.753853 | + | 0.657043i | \(0.228193\pi\) | ||||
−0.753853 | + | 0.657043i | \(0.771807\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 20.9706 | 1.50949 | 0.754747 | − | 0.656016i | \(-0.227760\pi\) | ||||
0.754747 | + | 0.656016i | \(0.227760\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 5.19615i | 0.372104i | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −14.4853 | −1.03203 | −0.516017 | − | 0.856578i | \(-0.672586\pi\) | ||||
−0.516017 | + | 0.856578i | \(0.672586\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 9.86396 | + | 17.0849i | 0.699238 | + | 1.21112i | 0.968731 | + | 0.248113i | \(0.0798104\pi\) |
−0.269493 | + | 0.963002i | \(0.586856\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −2.01472 | + | 2.59808i | −0.141406 | + | 0.182349i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 7.24264 | 0.505848 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 7.13604 | − | 4.11999i | 0.495989 | − | 0.286359i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −1.50000 | + | 0.866025i | −0.103757 | + | 0.0599042i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 14.7426 | + | 8.51167i | 1.01493 | + | 0.585967i | 0.912630 | − | 0.408787i | \(-0.134048\pi\) |
0.102295 | + | 0.994754i | \(0.467381\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −22.9706 | −1.57392 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −2.37868 | + | 4.11999i | −0.162225 | + | 0.280981i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 4.00000 | + | 9.79796i | 0.271538 | + | 0.665129i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −7.50000 | − | 12.9904i | −0.506803 | − | 0.877809i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 13.2426 | 0.890796 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 2.62132 | + | 4.54026i | 0.175537 | + | 0.304038i | 0.940347 | − | 0.340217i | \(-0.110501\pi\) |
−0.764810 | + | 0.644256i | \(0.777167\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 6.72792 | − | 11.6531i | 0.448528 | − | 0.776874i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −8.74264 | + | 15.1427i | −0.580269 | + | 1.00506i | 0.415178 | + | 0.909740i | \(0.363719\pi\) |
−0.995447 | + | 0.0953158i | \(0.969614\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −17.3787 | + | 10.0336i | −1.14842 | + | 0.663038i | −0.948501 | − | 0.316775i | \(-0.897400\pi\) |
−0.199915 | + | 0.979813i | \(0.564067\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 7.86396 | + | 1.07616i | 0.517411 | + | 0.0708060i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 6.25736 | − | 10.8381i | 0.409933 | − | 0.710025i | −0.584949 | − | 0.811070i | \(-0.698885\pi\) |
0.994882 | + | 0.101045i | \(0.0322187\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 5.27208 | − | 3.04384i | 0.343912 | − | 0.198558i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −3.51472 | −0.228306 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 0.106602 | + | 0.0615465i | 0.00689549 | + | 0.00398111i | 0.503444 | − | 0.864028i | \(-0.332066\pi\) |
−0.496548 | + | 0.868009i | \(0.665399\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.257359 | − | 0.148586i | −0.0165780 | − | 0.00957130i | 0.491688 | − | 0.870771i | \(-0.336380\pi\) |
−0.508266 | + | 0.861200i | \(0.669713\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 15.5885i | 1.00000i | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 1.34924 | − | 4.83743i | 0.0861999 | − | 0.309052i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −3.62132 | + | 2.09077i | −0.230419 | + | 0.133033i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 17.2279 | − | 9.94655i | 1.09178 | − | 0.630337i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −26.4853 | −1.67174 | −0.835868 | − | 0.548930i | \(-0.815035\pi\) | ||||
−0.835868 | + | 0.548930i | \(0.815035\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 4.75736 | 0.299093 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 3.40812 | + | 1.96768i | 0.213425 | + | 0.123221i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 21.9853 | − | 12.6932i | 1.37140 | − | 0.791781i | 0.380299 | − | 0.924863i | \(-0.375821\pi\) |
0.991105 | + | 0.133083i | \(0.0424877\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 8.50000 | + | 1.16320i | 0.528164 | + | 0.0722776i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −1.86396 | − | 3.22848i | −0.115376 | − | 0.199838i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −12.1066 | − | 6.98975i | −0.746525 | − | 0.431006i | 0.0779119 | − | 0.996960i | \(-0.475175\pi\) |
−0.824437 | + | 0.565954i | \(0.808508\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.772078 | + | 0.445759i | 0.0474284 | + | 0.0273828i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 14.2279 | − | 24.6435i | 0.870735 | − | 1.50816i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −19.3492 | + | 11.1713i | −1.17974 | + | 0.681126i | −0.955955 | − | 0.293512i | \(-0.905176\pi\) |
−0.223789 | + | 0.974638i | \(0.571843\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 5.86396 | − | 10.1567i | 0.356210 | − | 0.616974i | −0.631114 | − | 0.775690i | \(-0.717402\pi\) |
0.987324 | + | 0.158716i | \(0.0507354\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 18.9853 | + | 2.59808i | 1.14904 | + | 0.157243i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 6.72792 | − | 3.88437i | 0.405709 | − | 0.234236i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 5.86396 | − | 10.1567i | 0.352331 | − | 0.610256i | −0.634326 | − | 0.773066i | \(-0.718722\pi\) |
0.986657 | + | 0.162810i | \(0.0520557\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −12.0000 | −0.718421 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 15.9853 | + | 27.6873i | 0.953602 | + | 1.65169i | 0.737536 | + | 0.675308i | \(0.235989\pi\) |
0.216066 | + | 0.976379i | \(0.430677\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 5.51472 | 0.327816 | 0.163908 | − | 0.986476i | \(-0.447590\pi\) | ||||
0.163908 | + | 0.986476i | \(0.447590\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −1.24264 | −0.0736077 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 3.62132 | − | 26.4626i | 0.213760 | − | 1.56204i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −3.48528 | + | 6.03668i | −0.205017 | + | 0.355099i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −5.74264 | − | 9.94655i | −0.336640 | − | 0.583077i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 14.5919 | + | 8.42463i | 0.852467 | + | 0.492172i | 0.861482 | − | 0.507787i | \(-0.169536\pi\) |
−0.00901553 | + | 0.999959i | \(0.502870\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −3.72792 | + | 2.15232i | −0.217048 | + | 0.125313i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −4.50000 | + | 7.79423i | −0.261116 | + | 0.452267i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 11.4853 | 0.664211 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 13.8640 | + | 10.7510i | 0.799105 | + | 0.619679i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −3.62132 | + | 6.27231i | −0.208039 | + | 0.360335i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −2.48528 | − | 4.30463i | −0.142307 | − | 0.246483i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −18.4853 | −1.05501 | −0.527505 | − | 0.849552i | \(-0.676873\pi\) | ||||
−0.527505 | + | 0.849552i | \(0.676873\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −17.5919 | + | 10.1567i | −1.00077 | + | 0.577793i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 22.9706 | 1.30254 | 0.651271 | − | 0.758846i | \(-0.274236\pi\) | ||||
0.651271 | + | 0.758846i | \(0.274236\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | − | 1.43488i | − | 0.0811041i | −0.999177 | − | 0.0405520i | \(-0.987088\pi\) | ||
0.999177 | − | 0.0405520i | \(-0.0129117\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 4.50000 | + | 3.48960i | 0.253546 | + | 0.196616i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 18.0000 | 1.01098 | 0.505490 | − | 0.862832i | \(-0.331312\pi\) | ||||
0.505490 | + | 0.862832i | \(0.331312\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | − | 2.15232i | − | 0.120507i | ||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 9.98528 | − | 17.2950i | 0.557324 | − | 0.965314i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 3.16693i | 0.176213i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 16.2426 | − | 9.37769i | 0.900980 | − | 0.520181i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −13.1360 | + | 7.58410i | −0.726425 | + | 0.419401i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −8.48528 | − | 20.7846i | −0.467809 | − | 1.14589i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | − | 10.9867i | − | 0.603881i | −0.953327 | − | 0.301940i | \(-0.902366\pi\) | ||
0.953327 | − | 0.301940i | \(-0.0976344\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −4.86396 | + | 8.42463i | −0.266543 | + | 0.461667i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −2.50000 | + | 4.33013i | −0.136184 | + | 0.235877i | −0.926049 | − | 0.377403i | \(-0.876817\pi\) |
0.789865 | + | 0.613280i | \(0.210150\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 17.2279 | + | 9.94655i | 0.935692 | + | 0.540222i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −6.00000 | − | 3.46410i | −0.324918 | − | 0.187592i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −17.0000 | − | 7.34847i | −0.917914 | − | 0.396780i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 2.95584 | + | 1.70656i | 0.159137 | + | 0.0918780i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | − | 27.7128i | − | 1.48770i | −0.668346 | − | 0.743851i | \(-0.732997\pi\) | ||
0.668346 | − | 0.743851i | \(-0.267003\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 2.37868 | − | 1.37333i | 0.127328 | − | 0.0735127i | −0.434983 | − | 0.900439i | \(-0.643246\pi\) |
0.562311 | + | 0.826926i | \(0.309912\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −10.8640 | + | 18.8169i | −0.579875 | + | 1.00437i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 5.74264 | + | 3.31552i | 0.305650 | + | 0.176467i | 0.644978 | − | 0.764201i | \(-0.276866\pi\) |
−0.339328 | + | 0.940668i | \(0.610200\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −4.75736 | − | 8.23999i | −0.252494 | − | 0.437333i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 8.89340 | − | 11.4685i | 0.470689 | − | 0.606975i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −5.37868 | − | 3.10538i | −0.283876 | − | 0.163896i | 0.351301 | − | 0.936263i | \(-0.385739\pi\) |
−0.635177 | + | 0.772367i | \(0.719073\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.00000 | + | 15.5885i | 0.473684 | + | 0.820445i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 12.0000 | − | 6.92820i | 0.629837 | − | 0.363636i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 3.10660 | − | 5.38079i | 0.162607 | − | 0.281644i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 3.13604 | − | 5.43178i | 0.163700 | − | 0.283537i | −0.772493 | − | 0.635023i | \(-0.780990\pi\) |
0.936193 | + | 0.351487i | \(0.114324\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 26.2279 | + | 15.1427i | 1.36537 | + | 0.788297i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 2.01472 | − | 2.59808i | 0.104599 | − | 0.134885i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −17.8640 | − | 30.9413i | −0.924961 | − | 1.60208i | −0.791624 | − | 0.611008i | \(-0.790764\pi\) |
−0.133337 | − | 0.991071i | \(-0.542569\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 11.7868 | 0.608668 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | − | 5.19615i | − | 0.267615i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 2.02922i | 0.104234i | 0.998641 | + | 0.0521171i | \(0.0165969\pi\) | ||||
−0.998641 | + | 0.0521171i | \(0.983403\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −1.02944 | −0.0527397 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 9.62132 | + | 16.6646i | 0.491627 | + | 0.851522i | 0.999954 | − | 0.00964204i | \(-0.00306920\pi\) |
−0.508327 | + | 0.861164i | \(0.669736\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 1.24264 | + | 3.04384i | 0.0633308 | + | 0.155128i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −17.2279 | + | 9.94655i | −0.875744 | + | 0.505611i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −14.3787 | + | 24.9046i | −0.729028 | + | 1.26271i | 0.228266 | + | 0.973599i | \(0.426694\pi\) |
−0.957294 | + | 0.289115i | \(0.906639\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 4.34924 | − | 7.53311i | 0.219951 | − | 0.380966i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −26.2279 | + | 15.1427i | −1.32302 | + | 0.763848i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −0.727922 | − | 1.26080i | −0.0366257 | − | 0.0634376i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −33.1066 | − | 19.1141i | −1.66157 | − | 0.959309i | −0.971965 | − | 0.235127i | \(-0.924450\pi\) |
−0.689608 | − | 0.724183i | \(-0.742217\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −0.621320 | + | 4.54026i | −0.0311049 | + | 0.227297i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −17.2279 | − | 29.8396i | −0.860321 | − | 1.49012i | −0.871619 | − | 0.490184i | \(-0.836930\pi\) |
0.0112975 | − | 0.999936i | \(-0.496404\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −14.4853 | − | 8.36308i | −0.721563 | − | 0.416595i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −5.59188 | + | 3.22848i | −0.277863 | + | 0.160424i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −4.86396 | + | 2.80821i | −0.241098 | + | 0.139198i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 12.4215i | 0.614205i | 0.951676 | + | 0.307103i | \(0.0993595\pi\) | ||||
−0.951676 | + | 0.307103i | \(0.900641\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −13.5000 | − | 7.79423i | −0.665906 | − | 0.384461i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 6.00000 | + | 14.6969i | 0.295241 | + | 0.723189i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 7.13604 | + | 4.11999i | 0.350294 | + | 0.202243i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −19.5000 | − | 11.2583i | −0.954919 | − | 0.551323i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 3.98528 | − | 6.90271i | 0.194694 | − | 0.337219i | −0.752106 | − | 0.659042i | \(-0.770962\pi\) |
0.946800 | + | 0.321822i | \(0.104295\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −6.86396 | − | 11.8887i | −0.334529 | − | 0.579421i | 0.648865 | − | 0.760903i | \(-0.275244\pi\) |
−0.983394 | + | 0.181482i | \(0.941911\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 25.4558 | 1.23771 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | − | 14.2046i | − | 0.689023i | ||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −16.9706 | + | 6.92820i | −0.821263 | + | 0.335279i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −10.8640 | + | 6.27231i | −0.524517 | + | 0.302830i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 33.8345 | − | 19.5344i | 1.62975 | − | 0.940938i | 0.645586 | − | 0.763688i | \(-0.276613\pi\) |
0.984166 | − | 0.177250i | \(-0.0567200\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 13.2621i | 0.637334i | 0.947867 | + | 0.318667i | \(0.103235\pi\) | ||||
−0.947867 | + | 0.318667i | \(0.896765\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0.772078 | − | 1.33728i | 0.0370183 | − | 0.0641176i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 2.74666i | 0.131391i | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −26.9706 | −1.28723 | −0.643617 | − | 0.765347i | \(-0.722567\pi\) | ||||
−0.643617 | + | 0.765347i | \(0.722567\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 15.0000 | − | 14.6969i | 0.714286 | − | 0.699854i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 8.95743i | 0.425580i | 0.977098 | + | 0.212790i | \(0.0682551\pi\) | ||||
−0.977098 | + | 0.212790i | \(0.931745\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 11.7868 | 0.558748 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −28.8640 | + | 16.6646i | −1.36522 | + | 0.788209i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −24.0000 | −1.13263 | −0.566315 | − | 0.824189i | \(-0.691631\pi\) | ||||
−0.566315 | + | 0.824189i | \(0.691631\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 8.74264 | + | 15.1427i | 0.411675 | + | 0.713042i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −20.5919 | + | 35.6662i | −0.967491 | + | 1.67574i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 3.00000 | + | 7.34847i | 0.140642 | + | 0.344502i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −38.9706 | −1.82297 | −0.911483 | − | 0.411338i | \(-0.865062\pi\) | ||||
−0.911483 | + | 0.411338i | \(0.865062\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 8.22792 | + | 14.2512i | 0.384047 | + | 0.665188i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −22.8640 | + | 13.2005i | −1.06488 | + | 0.614809i | −0.926778 | − | 0.375609i | \(-0.877434\pi\) |
−0.138102 | + | 0.990418i | \(0.544100\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −11.3787 | − | 6.56948i | −0.528812 | − | 0.305310i | 0.211720 | − | 0.977330i | \(-0.432093\pi\) |
−0.740533 | + | 0.672020i | \(0.765427\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −2.48528 | − | 4.30463i | −0.115252 | − | 0.199623i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 11.7426 | − | 20.3389i | 0.543385 | − | 0.941170i | −0.455322 | − | 0.890327i | \(-0.650476\pi\) |
0.998707 | − | 0.0508429i | \(-0.0161908\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −3.51472 | −0.161950 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −11.4853 | −0.528094 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 2.24264 | + | 3.88437i | 0.102899 | + | 0.178227i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 1.86396 | + | 3.22848i | 0.0853449 | + | 0.147822i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −3.62132 | + | 6.27231i | −0.165462 | + | 0.286589i | −0.936819 | − | 0.349813i | \(-0.886245\pi\) |
0.771357 | + | 0.636403i | \(0.219578\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −11.7426 | + | 6.77962i | −0.535418 | + | 0.309124i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 7.71320 | − | 9.94655i | 0.350963 | − | 0.452583i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 2.37868 | − | 4.11999i | 0.108010 | − | 0.187079i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 11.8934 | − | 6.86666i | 0.538941 | − | 0.311158i | −0.205708 | − | 0.978613i | \(-0.565950\pi\) |
0.744650 | + | 0.667455i | \(0.232617\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0.257359 | − | 0.445759i | 0.0116382 | − | 0.0201579i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −12.9853 | − | 7.49706i | −0.586018 | − | 0.338337i | 0.177504 | − | 0.984120i | \(-0.443198\pi\) |
−0.763521 | + | 0.645783i | \(0.776531\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −3.40812 | − | 1.96768i | −0.153494 | − | 0.0886197i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −3.72792 | −0.167558 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −32.4853 | + | 13.2621i | −1.45716 | + | 0.594885i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 29.2279 | − | 16.8747i | 1.30842 | − | 0.755417i | 0.326589 | − | 0.945167i | \(-0.394101\pi\) |
0.981833 | + | 0.189749i | \(0.0607674\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −23.5919 | − | 13.6208i | −1.05401 | − | 0.608532i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 12.0000 | 0.535054 | 0.267527 | − | 0.963550i | \(-0.413794\pi\) | ||||
0.267527 | + | 0.963550i | \(0.413794\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −3.00000 | −0.133498 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −6.72792 | + | 3.88437i | −0.298798 | + | 0.172511i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 7.34924 | − | 4.24309i | 0.325749 | − | 0.188072i | −0.328203 | − | 0.944607i | \(-0.606443\pi\) |
0.653952 | + | 0.756536i | \(0.273110\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −18.1066 | − | 14.0410i | −0.800989 | − | 0.621139i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −4.50000 | − | 2.59808i | −0.198680 | − | 0.114708i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −7.28680 | − | 4.20703i | −0.321095 | − | 0.185384i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 12.7279 | + | 7.34847i | 0.559773 | + | 0.323185i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 16.9706 | 0.744925 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 7.50000 | − | 4.33013i | 0.328581 | − | 0.189706i | −0.326630 | − | 0.945152i | \(-0.605913\pi\) |
0.655211 | + | 0.755446i | \(0.272580\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −0.500000 | + | 0.866025i | −0.0218635 | + | 0.0378686i | −0.876750 | − | 0.480946i | \(-0.840293\pi\) |
0.854887 | + | 0.518815i | \(0.173627\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 2.78680 | − | 20.3643i | 0.121626 | − | 0.888773i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −10.9706 | + | 6.33386i | −0.477885 | + | 0.275907i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −7.72792 | + | 13.3852i | −0.335997 | + | 0.581963i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −18.0000 | −0.781133 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 21.1066 | + | 36.5577i | 0.914228 | + | 1.58349i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 8.27208 | 0.357633 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −0.985281 | − | 1.70656i | −0.0425180 | − | 0.0736434i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 11.7426 | − | 3.01834i | 0.505791 | − | 0.130009i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 22.1066 | − | 38.2898i | 0.950437 | − | 1.64621i | 0.205956 | − | 0.978561i | \(-0.433969\pi\) |
0.744481 | − | 0.667644i | \(-0.232697\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 22.9706 | 0.985761 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −5.44113 | − | 3.14144i | −0.233072 | − | 0.134564i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −23.2279 | + | 13.4106i | −0.993154 | + | 0.573398i | −0.906216 | − | 0.422816i | \(-0.861042\pi\) |
−0.0869386 | + | 0.996214i | \(0.527708\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | − | 20.7846i | − | 0.887066i | ||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 1.24264 | 0.0529383 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −4.97056 | + | 2.02922i | −0.211370 | + | 0.0862914i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −4.02944 | −0.171040 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 9.10660 | + | 15.7731i | 0.385859 | + | 0.668328i | 0.991888 | − | 0.127115i | \(-0.0405718\pi\) |
−0.606029 | + | 0.795443i | \(0.707238\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −27.7279 | −1.17277 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 9.50079i | 0.401124i | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 1.02944 | 0.0433856 | 0.0216928 | − | 0.999765i | \(-0.493094\pi\) | ||||
0.0216928 | + | 0.999765i | \(0.493094\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 8.23999i | 0.346659i | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 9.00000 | + | 22.0454i | 0.377964 | + | 0.925820i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 22.9706 | 0.962976 | 0.481488 | − | 0.876453i | \(-0.340096\pi\) | ||||
0.481488 | + | 0.876453i | \(0.340096\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | − | 32.2636i | − | 1.35019i | −0.737730 | − | 0.675096i | \(-0.764102\pi\) | ||
0.737730 | − | 0.675096i | \(-0.235898\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −31.4558 | −1.31409 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | − | 12.3196i | − | 0.513761i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −11.9558 | + | 6.90271i | −0.497728 | + | 0.287364i | −0.727775 | − | 0.685816i | \(-0.759445\pi\) |
0.230047 | + | 0.973180i | \(0.426112\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 36.3221i | 1.50949i | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 18.6213 | − | 24.0131i | 0.772543 | − | 0.996231i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 2.15232i | 0.0891399i | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −9.00000 | −0.372104 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 9.98528 | + | 17.2950i | 0.412137 | + | 0.713842i | 0.995123 | − | 0.0986402i | \(-0.0314493\pi\) |
−0.582986 | + | 0.812482i | \(0.698116\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 2.00000 | − | 3.46410i | 0.0824086 | − | 0.142736i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | − | 25.0892i | − | 1.03203i | ||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −11.2279 | − | 6.48244i | −0.461075 | − | 0.266202i | 0.251421 | − | 0.967878i | \(-0.419102\pi\) |
−0.712496 | + | 0.701676i | \(0.752436\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 5.95584 | + | 0.815039i | 0.244166 | + | 0.0334133i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −29.5919 | + | 17.0849i | −1.21112 | + | 0.699238i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 7.52255i | 0.307363i | 0.988120 | + | 0.153682i | \(0.0491130\pi\) | ||||
−0.988120 | + | 0.153682i | \(0.950887\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 21.9853 | − | 12.6932i | 0.896798 | − | 0.517767i | 0.0206383 | − | 0.999787i | \(-0.493430\pi\) |
0.876160 | + | 0.482020i | \(0.160097\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 4.97056 | + | 2.86976i | 0.202082 | + | 0.116672i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −17.3492 | − | 30.0498i | −0.704184 | − | 1.21968i | −0.966985 | − | 0.254833i | \(-0.917980\pi\) |
0.262801 | − | 0.964850i | \(-0.415354\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −4.50000 | − | 3.48960i | −0.182349 | − | 0.141406i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 30.7279 | + | 17.7408i | 1.24312 | + | 0.717715i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −1.62132 | − | 2.80821i | −0.0654845 | − | 0.113423i | 0.831424 | − | 0.555638i | \(-0.187526\pi\) |
−0.896909 | + | 0.442216i | \(0.854193\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 12.5446i | 0.505848i | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −2.74264 | + | 4.75039i | −0.110415 | + | 0.191244i | −0.915937 | − | 0.401321i | \(-0.868551\pi\) |
0.805523 | + | 0.592565i | \(0.201885\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −1.01472 | + | 1.75754i | −0.0407850 | + | 0.0706417i | −0.885697 | − | 0.464263i | \(-0.846319\pi\) |
0.844912 | + | 0.534905i | \(0.179653\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 7.13604 | + | 12.3600i | 0.286359 | + | 0.495989i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 5.89340 | − | 43.0656i | 0.236114 | − | 1.72539i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −8.77208 | − | 15.1937i | −0.350883 | − | 0.607747i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −1.50000 | − | 2.59808i | −0.0599042 | − | 0.103757i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 10.2692i | 0.409460i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 15.2913i | 0.608736i | 0.952554 | + | 0.304368i | \(0.0984453\pi\) | ||||
−0.952554 | + | 0.304368i | \(0.901555\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −14.7426 | + | 25.5350i | −0.585967 | + | 1.01493i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −0.213203 | − | 0.369279i | −0.00846072 | − | 0.0146544i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 28.3492 | − | 7.28692i | 1.12324 | − | 0.288718i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | − | 39.7862i | − | 1.57392i | ||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −18.4706 | + | 31.9920i | −0.729543 | + | 1.26361i | 0.227533 | + | 0.973770i | \(0.426934\pi\) |
−0.957076 | + | 0.289836i | \(0.906399\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −12.2279 | + | 21.1794i | −0.482222 | + | 0.835233i | −0.999792 | − | 0.0204078i | \(-0.993504\pi\) |
0.517570 | + | 0.855641i | \(0.326837\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −7.13604 | − | 4.11999i | −0.280981 | − | 0.162225i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −7.86396 | − | 13.6208i | −0.309164 | − | 0.535488i | 0.669016 | − | 0.743248i | \(-0.266716\pi\) |
−0.978180 | + | 0.207760i | \(0.933383\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −9.00000 | − | 5.19615i | −0.353281 | − | 0.203967i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −16.9706 | + | 6.92820i | −0.665129 | + | 0.271538i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 21.6213 | + | 37.4492i | 0.846108 | + | 1.46550i | 0.884656 | + | 0.466245i | \(0.154393\pi\) |
−0.0385482 | + | 0.999257i | \(0.512273\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −10.8640 | − | 6.27231i | −0.424490 | − | 0.245079i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 22.5000 | − | 12.9904i | 0.877809 | − | 0.506803i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 21.4706 | − | 12.3960i | 0.836374 | − | 0.482881i | −0.0196558 | − | 0.999807i | \(-0.506257\pi\) |
0.856030 | + | 0.516926i | \(0.172924\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | − | 43.2503i | − | 1.68224i | −0.540848 | − | 0.841121i | \(-0.681896\pi\) | ||
0.540848 | − | 0.841121i | \(-0.318104\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 22.9369i | 0.890796i | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −1.75736 | + | 0.717439i | −0.0681475 | + | 0.0278211i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −2.95584 | − | 1.70656i | −0.114451 | − | 0.0660782i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −7.86396 | + | 4.54026i | −0.304038 | + | 0.175537i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 6.00000 | − | 10.3923i | 0.231627 | − | 0.401190i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −11.9853 | − | 20.7591i | −0.461999 | − | 0.800205i | 0.537062 | − | 0.843543i | \(-0.319534\pi\) |
−0.999060 | + | 0.0433378i | \(0.986201\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 20.1838 | + | 11.6531i | 0.776874 | + | 0.448528i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 7.76874i | 0.298577i | 0.988794 | + | 0.149288i | \(0.0476983\pi\) | ||||
−0.988794 | + | 0.149288i | \(0.952302\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −13.8640 | − | 10.7510i | −0.532050 | − | 0.412586i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −26.2279 | − | 15.1427i | −1.00506 | − | 0.580269i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 14.0147 | − | 8.09140i | 0.536258 | − | 0.309609i | −0.207303 | − | 0.978277i | \(-0.566469\pi\) |
0.743561 | + | 0.668668i | \(0.233135\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 6.45695i | − | 0.246707i | ||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −17.3787 | − | 30.1008i | −0.663038 | − | 1.14842i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 5.19615i | 0.197958i | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −23.9411 | −0.910763 | −0.455382 | − | 0.890296i | \(-0.650497\pi\) | ||||
−0.455382 | + | 0.890296i | \(0.650497\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −1.86396 | + | 13.6208i | −0.0708060 | + | 0.517411i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | − | 9.32671i | − | 0.353782i | ||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 31.9706 | 1.21097 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 18.7721 | + | 10.8381i | 0.710025 | + | 0.409933i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 1.02944 | 0.0388813 | 0.0194407 | − | 0.999811i | \(-0.493811\pi\) | ||||
0.0194407 | + | 0.999811i | \(0.493811\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −1.62132 | − | 2.80821i | −0.0611493 | − | 0.105914i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 5.27208 | + | 9.13151i | 0.198558 | + | 0.343912i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −1.50000 | + | 10.9612i | −0.0564133 | + | 0.412237i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 28.4853 | 1.06979 | 0.534894 | − | 0.844919i | \(-0.320352\pi\) | ||||
0.534894 | + | 0.844919i | \(0.320352\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | − | 6.08767i | − | 0.228306i | ||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −9.51472 | + | 5.49333i | −0.356329 | + | 0.205727i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −4.50000 | − | 2.59808i | −0.168290 | − | 0.0971625i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −0.106602 | + | 0.184640i | −0.00398111 | + | 0.00689549i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 24.6213 | − | 42.6454i | 0.918220 | − | 1.59040i | 0.116103 | − | 0.993237i | \(-0.462960\pi\) |
0.802117 | − | 0.597167i | \(-0.203707\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −19.0147 | + | 24.5204i | −0.708145 | + | 0.913187i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0.257359 | − | 0.445759i | 0.00957130 | − | 0.0165780i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −5.57359 | −0.206998 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −21.3492 | − | 36.9780i | −0.791800 | − | 1.37144i | −0.924852 | − | 0.380328i | \(-0.875811\pi\) |
0.133052 | − | 0.991109i | \(-0.457522\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −27.0000 | −1.00000 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −10.5000 | + | 18.1865i | −0.388357 | + | 0.672653i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −38.3787 | + | 22.1579i | −1.41755 | + | 0.818422i | −0.996083 | − | 0.0884221i | \(-0.971818\pi\) |
−0.421466 | + | 0.906844i | \(0.638484\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 8.37868 | + | 2.33696i | 0.309052 | + | 0.0861999i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −27.2574 | + | 15.7370i | −1.00268 | + | 0.578897i | −0.909040 | − | 0.416710i | \(-0.863183\pi\) |
−0.0936386 | + | 0.995606i | \(0.529850\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −3.62132 | − | 6.27231i | −0.133033 | − | 0.230419i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −13.1360 | − | 7.58410i | −0.481915 | − | 0.278233i | 0.239299 | − | 0.970946i | \(-0.423082\pi\) |
−0.721214 | + | 0.692712i | \(0.756416\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −11.9558 | − | 6.90271i | −0.438028 | − | 0.252896i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 17.2279 | + | 29.8396i | 0.630337 | + | 1.09178i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 4.13604 | − | 30.2238i | 0.151128 | − | 1.10436i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 31.3492 | − | 18.0995i | 1.14395 | − | 0.660460i | 0.196544 | − | 0.980495i | \(-0.437028\pi\) |
0.947406 | + | 0.320035i | \(0.103695\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | − | 45.8739i | − | 1.67174i | ||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −17.0589 | −0.620836 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 23.9411 | 0.870155 | 0.435078 | − | 0.900393i | \(-0.356721\pi\) | ||||
0.435078 | + | 0.900393i | \(0.356721\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 8.23999i | 0.299093i | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 20.7426 | − | 11.9758i | 0.751920 | − | 0.434121i | −0.0744671 | − | 0.997223i | \(-0.523726\pi\) |
0.826387 | + | 0.563102i | \(0.190392\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −14.1985 | + | 18.3096i | −0.514020 | + | 0.662853i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −3.40812 | + | 5.90303i | −0.123221 | + | 0.213425i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −21.7279 | − | 12.5446i | −0.784550 | − | 0.452960i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 25.1985 | + | 14.5484i | 0.908681 | + | 0.524627i | 0.880006 | − | 0.474962i | \(-0.157538\pi\) |
0.0286742 | + | 0.999589i | \(0.490871\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 21.9853 | + | 38.0796i | 0.791781 | + | 1.37140i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 1.34924 | − | 0.778985i | 0.0485289 | − | 0.0280182i | −0.475539 | − | 0.879694i | \(-0.657747\pi\) |
0.524068 | + | 0.851676i | \(0.324414\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −8.97056 | + | 15.5375i | −0.322232 | + | 0.558122i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −2.01472 | + | 14.7224i | −0.0722776 | + | 0.528164i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −8.74264 | + | 5.04757i | −0.313238 | + | 0.180848i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 11.4853 | − | 19.8931i | 0.410976 | − | 0.711831i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 5.59188 | − | 3.22848i | 0.199838 | − | 0.115376i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −0.727922 | − | 1.26080i | −0.0259807 | − | 0.0449998i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −10.4853 | −0.373760 | −0.186880 | − | 0.982383i | \(-0.559838\pi\) | ||||
−0.186880 | + | 0.982383i | \(0.559838\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 12.1066 | − | 20.9692i | 0.431006 | − | 0.746525i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 30.1066 | + | 4.11999i | 1.07047 | + | 0.146490i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 14.4853 | − | 25.0892i | 0.514387 | − | 0.890945i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −0.772078 | + | 1.33728i | −0.0273828 | + | 0.0474284i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 6.10660 | + | 3.52565i | 0.216307 | + | 0.124885i | 0.604239 | − | 0.796803i | \(-0.293477\pi\) |
−0.387932 | + | 0.921688i | \(0.626811\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 23.2721 | − | 13.4361i | 0.823307 | − | 0.475336i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 42.6838 | + | 24.6435i | 1.50816 | + | 0.870735i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 15.0000 | 0.529339 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 5.16548 | + | 0.706879i | 0.182059 | + | 0.0249142i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −19.3492 | − | 33.5139i | −0.681126 | − | 1.17974i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 15.9853 | + | 27.6873i | 0.562013 | + | 0.973434i | 0.997321 | + | 0.0731528i | \(0.0233061\pi\) |
−0.435308 | + | 0.900282i | \(0.643361\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 37.9411 | 1.33229 | 0.666147 | − | 0.745821i | \(-0.267943\pi\) | ||||
0.666147 | + | 0.745821i | \(0.267943\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 17.5919 | + | 10.1567i | 0.616974 | + | 0.356210i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 0.213203 | 0.00746819 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | − | 6.63103i | − | 0.231990i | ||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −4.50000 | + | 32.8835i | −0.157243 | + | 1.14904i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 49.4558 | 1.72602 | 0.863010 | − | 0.505186i | \(-0.168576\pi\) | ||||
0.863010 | + | 0.505186i | \(0.168576\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 48.7436i | 1.69910i | 0.527512 | + | 0.849548i | \(0.323125\pi\) | ||||
−0.527512 | + | 0.849548i | \(0.676875\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 6.72792 | + | 11.6531i | 0.234236 | + | 0.405709i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | − | 21.6251i | − | 0.751980i | −0.926624 | − | 0.375990i | \(-0.877303\pi\) | ||
0.926624 | − | 0.375990i | \(-0.122697\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −18.8345 | + | 10.8741i | −0.654150 | + | 0.377674i | −0.790044 | − | 0.613050i | \(-0.789943\pi\) |
0.135894 | + | 0.990723i | \(0.456609\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 17.5919 | + | 10.1567i | 0.610256 | + | 0.352331i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 5.95584 | − | 21.3535i | 0.206358 | − | 0.739854i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | − | 11.2838i | − | 0.390493i | ||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | − | 20.7846i | − | 0.718421i | ||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 9.62132 | + | 16.6646i | 0.332165 | + | 0.575326i | 0.982936 | − | 0.183947i | \(-0.0588876\pi\) |
−0.650771 | + | 0.759274i | \(0.725554\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 13.7279 | − | 23.7775i | 0.473377 | − | 0.819912i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −47.9558 | + | 27.6873i | −1.65169 | + | 0.953602i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −2.78680 | − | 1.60896i | −0.0958687 | − | 0.0553498i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 12.9706 | − | 16.7262i | 0.445674 | − | 0.574718i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 9.55177i | 0.327816i | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 8.90644i | 0.305309i | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 7.86396 | − | 4.54026i | 0.269257 | − | 0.155456i | −0.359293 | − | 0.933225i | \(-0.616982\pi\) |
0.628550 | + | 0.777769i | \(0.283649\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | − | 2.15232i | − | 0.0736077i | ||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 3.98528 | + | 2.30090i | 0.136135 | + | 0.0785974i | 0.566521 | − | 0.824048i | \(-0.308289\pi\) |
−0.430386 | + | 0.902645i | \(0.641623\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −16.9853 | − | 29.4194i | −0.579530 | − | 1.00378i | −0.995533 | − | 0.0944126i | \(-0.969903\pi\) |
0.416003 | − | 0.909363i | \(-0.363431\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 45.8345 | + | 6.27231i | 1.56204 | + | 0.213760i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −5.59188 | − | 3.22848i | −0.190350 | − | 0.109899i | 0.401796 | − | 0.915729i | \(-0.368386\pi\) |
−0.592146 | + | 0.805830i | \(0.701719\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 3.51472 | + | 6.08767i | 0.119504 | + | 0.206987i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −10.4558 | − | 6.03668i | −0.355099 | − | 0.205017i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 1.75736 | − | 3.04384i | 0.0596143 | − | 0.103255i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0 | 0 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 17.2279 | − | 9.94655i | 0.583077 | − | 0.336640i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 16.6690 | − | 6.80511i | 0.563517 | − | 0.230055i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 6.34924 | + | 10.9972i | 0.214399 | + | 0.371349i | 0.953086 | − | 0.302698i | \(-0.0978875\pi\) |
−0.738688 | + | 0.674048i | \(0.764554\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −14.5919 | + | 25.2739i | −0.492172 | + | 0.852467i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 22.2195i | − | 0.748594i | −0.927309 | − | 0.374297i | \(-0.877884\pi\) | ||
0.927309 | − | 0.374297i | \(-0.122116\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 4.89898i | − | 0.164864i | −0.996597 | − | 0.0824319i | \(-0.973731\pi\) | ||
0.996597 | − | 0.0824319i | \(-0.0262687\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −3.72792 | − | 6.45695i | −0.125313 | − | 0.217048i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 21.8345 | + | 37.8185i | 0.733132 | + | 1.26982i | 0.955538 | + | 0.294867i | \(0.0952754\pi\) |
−0.222407 | + | 0.974954i | \(0.571391\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −1.45584 | + | 0.594346i | −0.0488274 | + | 0.0199337i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −13.5000 | − | 7.79423i | −0.452267 | − | 0.261116i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −4.24264 | + | 7.34847i | −0.141975 | + | 0.245907i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0.408117 | − | 0.706879i | 0.0136418 | − | 0.0236284i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 19.8931i | 0.664211i | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 2.48528 | + | 4.30463i | 0.0828888 | + | 0.143568i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 3.40812 | + | 1.96768i | 0.113541 | + | 0.0655528i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −18.6213 | + | 24.0131i | −0.619679 | + | 0.799105i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 4.75736 | + | 8.23999i | 0.158140 | + | 0.273906i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 0.985281 | + | 0.568852i | 0.0327157 | + | 0.0188884i | 0.516269 | − | 0.856427i | \(-0.327321\pi\) |
−0.483553 | + | 0.875315i | \(0.660654\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −10.8640 | − | 6.27231i | −0.360335 | − | 0.208039i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −16.1360 | + | 9.31615i | −0.534611 | + | 0.308658i | −0.742892 | − | 0.669411i | \(-0.766546\pi\) |
0.208281 | + | 0.978069i | \(0.433213\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 19.8931i | 0.658365i | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 7.45584 | − | 4.30463i | 0.246483 | − | 0.142307i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −28.3492 | + | 36.5577i | −0.936174 | + | 1.20724i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −4.13604 | − | 2.38794i | −0.136435 | − | 0.0787710i | 0.430229 | − | 0.902720i | \(-0.358433\pi\) |
−0.566664 | + | 0.823949i | \(0.691766\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | − | 32.0174i | − | 1.05501i | ||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 27.7279 | − | 48.0262i | 0.912676 | − | 1.58080i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 7.27208 | + | 12.5956i | 0.239104 | + | 0.414141i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −17.5919 | − | 30.4700i | −0.577793 | − | 1.00077i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | − | 47.9031i | − | 1.57165i | −0.618450 | − | 0.785824i | \(-0.712239\pi\) | ||
0.618450 | − | 0.785824i | \(-0.287761\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 1.74264 | + | 6.77962i | 0.0571127 | + | 0.222193i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 39.7862i | 1.30254i | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −3.40812 | + | 1.96768i | −0.111457 | + | 0.0643499i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 52.4539i | 1.71359i | 0.515654 | + | 0.856797i | \(0.327549\pi\) | ||||
−0.515654 | + | 0.856797i | \(0.672451\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 2.48528 | 0.0811041 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | − | 36.3221i | − | 1.18407i | −0.805914 | − | 0.592033i | \(-0.798326\pi\) | ||
0.805914 | − | 0.592033i | \(-0.201674\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 27.7279 | 0.902945 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −6.04416 | + | 7.79423i | −0.196616 | + | 0.253546i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 57.7010i | 1.87503i | 0.347943 | + | 0.937516i | \(0.386880\pi\) | ||||
−0.347943 | + | 0.937516i | \(0.613120\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 36.2132 | 1.17553 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 31.1769i | 1.01098i | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 27.5147 | 0.891289 | 0.445645 | − | 0.895210i | \(-0.352975\pi\) | ||||
0.445645 | + | 0.895210i | \(0.352975\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −6.51472 | − | 11.2838i | −0.210811 | − | 0.365136i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 3.72792 | 0.120507 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −23.5919 | − | 3.22848i | −0.761822 | − | 0.104253i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −15.0000 | −0.483871 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 29.9558 | + | 17.2950i | 0.965314 | + | 0.557324i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −13.0294 | + | 7.52255i | −0.419432 | + | 0.242159i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 32.5919 | + | 18.8169i | 1.04808 | + | 0.605112i | 0.922112 | − | 0.386922i | \(-0.126462\pi\) |
0.125972 | + | 0.992034i | \(0.459795\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −5.48528 | −0.176213 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 6.25736 | − | 10.8381i | 0.200808 | − | 0.347810i | −0.747981 | − | 0.663720i | \(-0.768977\pi\) |
0.948789 | + | 0.315910i | \(0.102310\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −34.0772 | − | 4.66335i | −1.09246 | − | 0.149500i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 16.2426 | + | 28.1331i | 0.520181 | + | 0.900980i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −16.9706 | −0.542936 | −0.271468 | − | 0.962447i | \(-0.587509\pi\) | ||||
−0.271468 | + | 0.962447i | \(0.587509\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 14.2279 | + | 24.6435i | 0.454726 | + | 0.787609i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −13.1360 | − | 22.7523i | −0.419401 | − | 0.726425i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 12.6213 | − | 21.8608i | 0.402558 | − | 0.697250i | −0.591476 | − | 0.806322i | \(-0.701455\pi\) |
0.994034 | + | 0.109072i | \(0.0347880\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 9.00000 | − | 5.19615i | 0.286764 | − | 0.165563i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 36.0000 | − | 14.6969i | 1.14589 | − | 0.467809i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −9.10660 | + | 15.7731i | −0.289573 | + | 0.501555i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −25.1360 | + | 14.5123i | −0.798473 | + | 0.460998i | −0.842937 | − | 0.538013i | \(-0.819175\pi\) |
0.0444642 | + | 0.999011i | \(0.485842\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 19.0294 | 0.603881 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −12.2574 | − | 7.07679i | −0.388584 | − | 0.224349i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −7.86396 | − | 4.54026i | −0.249054 | − | 0.143791i | 0.370277 | − | 0.928921i | \(-0.379263\pi\) |
−0.619331 | + | 0.785130i | \(0.712596\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −14.5919 | − | 8.42463i | −0.461667 | − | 0.266543i |
(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 | 1008.2.cz.f.607.1 | yes | 4 | |
3.2 | odd | 2 | 3024.2.cz.f.1279.2 | 4 | |||
4.3 | odd | 2 | 1008.2.cz.e.607.1 | yes | 4 | ||
7.3 | odd | 6 | 1008.2.bf.e.31.2 | ✓ | 4 | ||
9.2 | odd | 6 | 3024.2.bf.e.2287.2 | 4 | |||
9.7 | even | 3 | 1008.2.bf.f.943.1 | yes | 4 | ||
12.11 | even | 2 | 3024.2.cz.e.1279.2 | 4 | |||
21.17 | even | 6 | 3024.2.bf.f.1711.1 | 4 | |||
28.3 | even | 6 | 1008.2.bf.f.31.2 | yes | 4 | ||
36.7 | odd | 6 | 1008.2.bf.e.943.1 | yes | 4 | ||
36.11 | even | 6 | 3024.2.bf.f.2287.2 | 4 | |||
63.38 | even | 6 | 3024.2.cz.e.2719.2 | 4 | |||
63.52 | odd | 6 | 1008.2.cz.e.367.1 | yes | 4 | ||
84.59 | odd | 6 | 3024.2.bf.e.1711.1 | 4 | |||
252.115 | even | 6 | inner | 1008.2.cz.f.367.1 | yes | 4 | |
252.227 | odd | 6 | 3024.2.cz.f.2719.2 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1008.2.bf.e.31.2 | ✓ | 4 | 7.3 | odd | 6 | ||
1008.2.bf.e.943.1 | yes | 4 | 36.7 | odd | 6 | ||
1008.2.bf.f.31.2 | yes | 4 | 28.3 | even | 6 | ||
1008.2.bf.f.943.1 | yes | 4 | 9.7 | even | 3 | ||
1008.2.cz.e.367.1 | yes | 4 | 63.52 | odd | 6 | ||
1008.2.cz.e.607.1 | yes | 4 | 4.3 | odd | 2 | ||
1008.2.cz.f.367.1 | yes | 4 | 252.115 | even | 6 | inner | |
1008.2.cz.f.607.1 | yes | 4 | 1.1 | even | 1 | trivial | |
3024.2.bf.e.1711.1 | 4 | 84.59 | odd | 6 | |||
3024.2.bf.e.2287.2 | 4 | 9.2 | odd | 6 | |||
3024.2.bf.f.1711.1 | 4 | 21.17 | even | 6 | |||
3024.2.bf.f.2287.2 | 4 | 36.11 | even | 6 | |||
3024.2.cz.e.1279.2 | 4 | 12.11 | even | 2 | |||
3024.2.cz.e.2719.2 | 4 | 63.38 | even | 6 | |||
3024.2.cz.f.1279.2 | 4 | 3.2 | odd | 2 | |||
3024.2.cz.f.2719.2 | 4 | 252.227 | odd | 6 |