Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [560,2,Mod(289,560)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(560, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 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("560.289");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 560 = 2^{4} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 560.bw (of order \(6\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.47162251319\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\sqrt{-3}, \sqrt{-19})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{3} - 4x^{2} - 5x + 25 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 140) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 529.1 | ||
Root | \(2.13746 + 0.656712i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 560.529 |
Dual form | 560.2.bw.e.289.1 |
$q$-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 \(\left(\mathbb{Z}/560\mathbb{Z}\right)^\times\).
\(n\) | \(241\) | \(337\) | \(351\) | \(421\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 1.50000 | + | 0.866025i | 0.866025 | + | 0.500000i | 0.866025 | − | 0.500000i | \(-0.166667\pi\) |
1.00000i | \(0.5\pi\) | |||||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.63746 | − | 1.52274i | −0.732294 | − | 0.680989i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.63746 | + | 0.209313i | 0.996866 | + | 0.0791130i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.13746 | − | 1.97014i | 0.342957 | − | 0.594018i | −0.642024 | − | 0.766685i | \(-0.721905\pi\) |
0.984980 | + | 0.172666i | \(0.0552383\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | − | 6.09095i | − | 1.68933i | −0.535299 | − | 0.844663i | \(-0.679801\pi\) | ||
0.535299 | − | 0.844663i | \(-0.320199\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.13746 | − | 3.70219i | −0.293691 | − | 0.955901i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 4.13746 | + | 2.38876i | 1.00348 | + | 0.579360i | 0.909276 | − | 0.416193i | \(-0.136636\pi\) |
0.0942047 | + | 0.995553i | \(0.469969\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.13746 | + | 3.70219i | 0.490367 | + | 0.849340i | 0.999939 | − | 0.0110882i | \(-0.00352954\pi\) |
−0.509572 | + | 0.860428i | \(0.670196\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 3.77492 | + | 2.59808i | 0.823754 | + | 0.566947i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −0.774917 | + | 0.447399i | −0.161581 | + | 0.0932891i | −0.578610 | − | 0.815604i | \(-0.696405\pi\) |
0.417029 | + | 0.908893i | \(0.363071\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.362541 | + | 4.98684i | 0.0725083 | + | 0.997368i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | − | 5.19615i | − | 1.00000i | ||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 3.27492 | 0.608137 | 0.304068 | − | 0.952650i | \(-0.401655\pi\) | ||||
0.304068 | + | 0.952650i | \(0.401655\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.13746 | + | 3.70219i | −0.383899 | + | 0.664932i | −0.991616 | − | 0.129221i | \(-0.958752\pi\) |
0.607717 | + | 0.794154i | \(0.292086\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 3.41238 | − | 1.97014i | 0.594018 | − | 0.342957i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −4.00000 | − | 4.35890i | −0.676123 | − | 0.736788i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 4.86254 | − | 2.80739i | 0.799397 | − | 0.461532i | −0.0438633 | − | 0.999038i | \(-0.513967\pi\) |
0.843260 | + | 0.537506i | \(0.180633\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 5.27492 | − | 9.13642i | 0.844663 | − | 1.46300i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −11.2749 | −1.76085 | −0.880423 | − | 0.474189i | \(-0.842741\pi\) | ||||
−0.880423 | + | 0.474189i | \(0.842741\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 6.50958i | 0.992701i | 0.868122 | + | 0.496351i | \(0.165327\pi\) | ||||
−0.868122 | + | 0.496351i | \(0.834673\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 1.86254 | − | 1.07534i | 0.271680 | − | 0.156854i | −0.357971 | − | 0.933733i | \(-0.616531\pi\) |
0.629651 | + | 0.776878i | \(0.283198\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.91238 | + | 1.10411i | 0.987482 | + | 0.157730i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 4.13746 | + | 7.16629i | 0.579360 | + | 1.00348i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −6.41238 | − | 3.70219i | −0.880808 | − | 0.508534i | −0.00988297 | − | 0.999951i | \(-0.503146\pi\) |
−0.870925 | + | 0.491417i | \(0.836479\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −4.86254 | + | 1.49397i | −0.655665 | + | 0.201446i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 7.40437i | 0.980733i | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −2.13746 | + | 3.70219i | −0.278273 | + | 0.481984i | −0.970956 | − | 0.239259i | \(-0.923095\pi\) |
0.692682 | + | 0.721243i | \(0.256429\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.774917 | − | 1.34220i | −0.0992180 | − | 0.171851i | 0.812143 | − | 0.583458i | \(-0.198301\pi\) |
−0.911361 | + | 0.411608i | \(0.864967\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −9.27492 | + | 9.97368i | −1.15041 | + | 1.23708i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 12.0498 | + | 6.95698i | 1.47212 | + | 0.849930i | 0.999509 | − | 0.0313404i | \(-0.00997759\pi\) |
0.472613 | + | 0.881270i | \(0.343311\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −1.54983 | −0.186578 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −10.5498 | −1.25204 | −0.626018 | − | 0.779809i | \(-0.715316\pi\) | ||||
−0.626018 | + | 0.779809i | \(0.715316\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.86254 | − | 1.07534i | −0.217994 | − | 0.125859i | 0.387027 | − | 0.922068i | \(-0.373502\pi\) |
−0.605021 | + | 0.796209i | \(0.706835\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −3.77492 | + | 7.79423i | −0.435890 | + | 0.900000i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 3.41238 | − | 4.95807i | 0.388876 | − | 0.565024i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.137459 | + | 0.238085i | 0.0154653 | + | 0.0267867i | 0.873654 | − | 0.486547i | \(-0.161744\pi\) |
−0.858189 | + | 0.513334i | \(0.828410\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 4.50000 | − | 7.79423i | 0.500000 | − | 0.866025i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | − | 5.67232i | − | 0.622618i | −0.950309 | − | 0.311309i | \(-0.899233\pi\) | ||
0.950309 | − | 0.311309i | \(-0.100767\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −3.13746 | − | 10.2118i | −0.340305 | − | 1.10762i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 4.91238 | + | 2.83616i | 0.526662 | + | 0.304068i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −3.50000 | − | 6.06218i | −0.370999 | − | 0.642590i | 0.618720 | − | 0.785611i | \(-0.287651\pi\) |
−0.989720 | + | 0.143022i | \(0.954318\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.27492 | − | 16.0646i | 0.133648 | − | 1.68403i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −6.41238 | + | 3.70219i | −0.664932 | + | 0.383899i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 2.13746 | − | 9.31697i | 0.219299 | − | 0.955901i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 6.92820i | 0.703452i | 0.936103 | + | 0.351726i | \(0.114405\pi\) | ||||
−0.936103 | + | 0.351726i | \(0.885595\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −0.774917 | + | 1.34220i | −0.0771071 | + | 0.133553i | −0.902001 | − | 0.431735i | \(-0.857902\pi\) |
0.824894 | + | 0.565288i | \(0.191235\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −2.22508 | + | 1.28465i | −0.219244 | + | 0.126581i | −0.605600 | − | 0.795769i | \(-0.707067\pi\) |
0.386356 | + | 0.922350i | \(0.373734\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −2.22508 | − | 10.0025i | −0.217146 | − | 0.976139i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −12.0498 | + | 6.95698i | −1.16490 | + | 0.672556i | −0.952474 | − | 0.304621i | \(-0.901470\pi\) |
−0.212428 | + | 0.977177i | \(0.568137\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1.77492 | − | 3.07425i | 0.170006 | − | 0.294459i | −0.768416 | − | 0.639951i | \(-0.778955\pi\) |
0.938422 | + | 0.345492i | \(0.112288\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 9.72508 | 0.923064 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 13.0192i | 1.22474i | 0.790572 | + | 0.612369i | \(0.209783\pi\) | ||||
−0.790572 | + | 0.612369i | \(0.790217\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.95017 | + | 0.447399i | 0.181854 | + | 0.0417201i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 10.4124 | + | 7.16629i | 0.954501 | + | 0.656933i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 2.91238 | + | 5.04438i | 0.264761 | + | 0.458580i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −16.9124 | − | 9.76436i | −1.52494 | − | 0.880423i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 7.00000 | − | 8.71780i | 0.626099 | − | 0.779744i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1.78959i | 0.158801i | 0.996843 | + | 0.0794004i | \(0.0253006\pi\) | ||||
−0.996843 | + | 0.0794004i | \(0.974699\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −5.63746 | + | 9.76436i | −0.496351 | + | 0.859704i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −9.13746 | − | 15.8265i | −0.798343 | − | 1.38277i | −0.920694 | − | 0.390285i | \(-0.872377\pi\) |
0.122351 | − | 0.992487i | \(-0.460957\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 4.86254 | + | 10.2118i | 0.421636 | + | 0.885472i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −7.91238 | + | 8.50848i | −0.680989 | + | 0.732294i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 7.96221 | + | 4.59698i | 0.680258 | + | 0.392747i | 0.799952 | − | 0.600064i | \(-0.204858\pi\) |
−0.119695 | + | 0.992811i | \(0.538192\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −17.0997 | −1.45037 | −0.725187 | − | 0.688551i | \(-0.758247\pi\) | ||||
−0.725187 | + | 0.688551i | \(0.758247\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 3.72508 | 0.313709 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −12.0000 | − | 6.92820i | −1.00349 | − | 0.579365i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −5.36254 | − | 4.98684i | −0.445335 | − | 0.414134i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 9.41238 | + | 7.64246i | 0.776320 | + | 0.630339i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 3.77492 | + | 6.53835i | 0.309253 | + | 0.535642i | 0.978199 | − | 0.207669i | \(-0.0665876\pi\) |
−0.668946 | + | 0.743311i | \(0.733254\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −10.1375 | + | 17.5586i | −0.824975 | + | 1.42890i | 0.0769640 | + | 0.997034i | \(0.475477\pi\) |
−0.901939 | + | 0.431864i | \(0.857856\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 9.13746 | − | 2.80739i | 0.733938 | − | 0.225495i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 9.41238 | + | 5.43424i | 0.751189 | + | 0.433699i | 0.826123 | − | 0.563489i | \(-0.190541\pi\) |
−0.0749341 | + | 0.997188i | \(0.523875\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −6.41238 | − | 11.1066i | −0.508534 | − | 0.880808i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −2.13746 | + | 1.01779i | −0.168455 | + | 0.0802135i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 6.41238 | − | 3.70219i | 0.502256 | − | 0.289978i | −0.227389 | − | 0.973804i | \(-0.573019\pi\) |
0.729645 | + | 0.683826i | \(0.239685\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −8.58762 | − | 1.97014i | −0.668546 | − | 0.153375i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 12.6005i | 0.975058i | 0.873107 | + | 0.487529i | \(0.162102\pi\) | ||||
−0.873107 | + | 0.487529i | \(0.837898\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −24.0997 | −1.85382 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −16.2371 | + | 9.37451i | −1.23449 | + | 0.712731i | −0.967962 | − | 0.251097i | \(-0.919209\pi\) |
−0.266524 | + | 0.963828i | \(0.585875\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.0876242 | + | 13.2285i | −0.00662376 | + | 0.999978i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −6.41238 | + | 3.70219i | −0.481984 | + | 0.278273i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −0.137459 | + | 0.238085i | −0.0102741 | + | 0.0177953i | −0.871117 | − | 0.491076i | \(-0.836604\pi\) |
0.860843 | + | 0.508871i | \(0.169937\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −16.7251 | −1.24317 | −0.621583 | − | 0.783348i | \(-0.713510\pi\) | ||||
−0.621583 | + | 0.783348i | \(0.713510\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | − | 2.68439i | − | 0.198436i | ||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −12.2371 | − | 2.80739i | −0.899692 | − | 0.206403i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 9.41238 | − | 5.43424i | 0.688301 | − | 0.397391i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 1.08762 | − | 13.7046i | 0.0791130 | − | 0.996866i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 11.4124 | + | 19.7668i | 0.825771 | + | 1.43028i | 0.901329 | + | 0.433135i | \(0.142593\pi\) |
−0.0755585 | + | 0.997141i | \(0.524074\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 7.96221 | + | 4.59698i | 0.573132 | + | 0.330898i | 0.758399 | − | 0.651790i | \(-0.225982\pi\) |
−0.185267 | + | 0.982688i | \(0.559315\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −22.5498 | + | 6.92820i | −1.61483 | + | 0.496139i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | − | 26.0383i | − | 1.85515i | −0.373634 | − | 0.927576i | \(-0.621888\pi\) | ||
0.373634 | − | 0.927576i | \(-0.378112\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −4.86254 | + | 8.42217i | −0.344696 | + | 0.597032i | −0.985299 | − | 0.170841i | \(-0.945351\pi\) |
0.640602 | + | 0.767873i | \(0.278685\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 12.0498 | + | 20.8709i | 0.849930 | + | 1.47212i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 8.63746 | + | 0.685484i | 0.606231 | + | 0.0481115i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 18.4622 | + | 17.1687i | 1.28946 | + | 1.19912i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 9.72508 | 0.672698 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 19.6495 | 1.35273 | 0.676364 | − | 0.736568i | \(-0.263555\pi\) | ||||
0.676364 | + | 0.736568i | \(0.263555\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −15.8248 | − | 9.13642i | −1.08429 | − | 0.626018i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 9.91238 | − | 10.6592i | 0.676018 | − | 0.726949i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −6.41238 | + | 9.31697i | −0.435300 | + | 0.632477i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −1.86254 | − | 3.22602i | −0.125859 | − | 0.217994i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 14.5498 | − | 25.2011i | 0.978728 | − | 1.69521i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | − | 8.71780i | − | 0.583787i | −0.956451 | − | 0.291893i | \(-0.905715\pi\) | ||
0.956451 | − | 0.291893i | \(-0.0942853\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 5.58762 | + | 3.22602i | 0.370864 | + | 0.214118i | 0.673836 | − | 0.738881i | \(-0.264646\pi\) |
−0.302972 | + | 0.952999i | \(0.597979\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −2.13746 | − | 3.70219i | −0.141247 | − | 0.244647i | 0.786719 | − | 0.617311i | \(-0.211778\pi\) |
−0.927967 | + | 0.372663i | \(0.878445\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 9.41238 | − | 4.48190i | 0.619289 | − | 0.294887i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 16.1375 | − | 9.31697i | 1.05720 | − | 0.610375i | 0.132544 | − | 0.991177i | \(-0.457686\pi\) |
0.924656 | + | 0.380802i | \(0.124352\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −4.68729 | − | 1.07534i | −0.305765 | − | 0.0701474i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0.476171i | 0.0309306i | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −14.5498 | −0.941151 | −0.470575 | − | 0.882360i | \(-0.655954\pi\) | ||||
−0.470575 | + | 0.882360i | \(0.655954\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 6.41238 | − | 11.1066i | 0.413057 | − | 0.715436i | −0.582165 | − | 0.813071i | \(-0.697794\pi\) |
0.995222 | + | 0.0976343i | \(0.0311275\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −9.63746 | − | 12.3337i | −0.615715 | − | 0.787969i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 22.5498 | − | 13.0192i | 1.43481 | − | 0.828389i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 4.91238 | − | 8.50848i | 0.311309 | − | 0.539203i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 5.45017 | 0.344011 | 0.172006 | − | 0.985096i | \(-0.444975\pi\) | ||||
0.172006 | + | 0.985096i | \(0.444975\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 2.03559i | 0.127976i | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 4.13746 | − | 18.0348i | 0.259098 | − | 1.12938i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 21.4124 | − | 12.3624i | 1.33567 | − | 0.771148i | 0.349506 | − | 0.936934i | \(-0.386350\pi\) |
0.986162 | + | 0.165786i | \(0.0530162\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 13.4124 | − | 6.38658i | 0.833404 | − | 0.396843i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 23.3248 | + | 13.4666i | 1.43827 | + | 0.830383i | 0.997729 | − | 0.0673516i | \(-0.0214549\pi\) |
0.440536 | + | 0.897735i | \(0.354788\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 4.86254 | + | 15.8265i | 0.298704 | + | 0.972217i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | − | 12.1244i | − | 0.741999i | ||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −14.7749 | + | 25.5909i | −0.900843 | + | 1.56031i | −0.0744400 | + | 0.997225i | \(0.523717\pi\) |
−0.826403 | + | 0.563080i | \(0.809616\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −6.41238 | − | 11.1066i | −0.389524 | − | 0.674676i | 0.602861 | − | 0.797846i | \(-0.294027\pi\) |
−0.992386 | + | 0.123170i | \(0.960694\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 15.8248 | − | 22.9928i | 0.957758 | − | 1.39159i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 10.2371 | + | 4.95807i | 0.617322 | + | 0.298983i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 16.1375 | + | 9.31697i | 0.969606 | + | 0.559802i | 0.899116 | − | 0.437710i | \(-0.144210\pi\) |
0.0704898 | + | 0.997512i | \(0.477544\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 6.00000 | 0.357930 | 0.178965 | − | 0.983855i | \(-0.442725\pi\) | ||||
0.178965 | + | 0.983855i | \(0.442725\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −16.9622 | − | 9.79314i | −1.00830 | − | 0.582142i | −0.0976056 | − | 0.995225i | \(-0.531118\pi\) |
−0.910693 | + | 0.413084i | \(0.864452\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 11.2749 | − | 12.1244i | 0.667868 | − | 0.718185i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −29.7371 | − | 2.35999i | −1.75533 | − | 0.139306i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 2.91238 | + | 5.04438i | 0.171316 | + | 0.296728i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −6.00000 | + | 10.3923i | −0.351726 | + | 0.609208i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 6.92820i | 0.404750i | 0.979308 | + | 0.202375i | \(0.0648660\pi\) | ||||
−0.979308 | + | 0.202375i | \(0.935134\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 9.13746 | − | 2.80739i | 0.532003 | − | 0.163453i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −10.2371 | − | 5.91041i | −0.594018 | − | 0.342957i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 2.72508 | + | 4.71998i | 0.157596 | + | 0.272964i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.36254 | + | 17.1687i | −0.0785356 | + | 0.989590i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −2.32475 | + | 1.34220i | −0.133553 | + | 0.0771071i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −0.774917 | + | 3.37779i | −0.0443716 | + | 0.193411i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 3.99782i | − | 0.228167i | −0.993471 | − | 0.114084i | \(-0.963607\pi\) | ||
0.993471 | − | 0.114084i | \(-0.0363932\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −4.45017 | −0.253161 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 6.41238 | − | 11.1066i | 0.363612 | − | 0.629795i | −0.624940 | − | 0.780673i | \(-0.714877\pi\) |
0.988552 | + | 0.150878i | \(0.0482099\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 12.5120 | − | 7.22383i | 0.707223 | − | 0.408315i | −0.102809 | − | 0.994701i | \(-0.532783\pi\) |
0.810032 | + | 0.586386i | \(0.199450\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −3.31271 | + | 1.91259i | −0.186060 | + | 0.107422i | −0.590137 | − | 0.807303i | \(-0.700926\pi\) |
0.404077 | + | 0.914725i | \(0.367593\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 3.72508 | − | 6.45203i | 0.208565 | − | 0.361244i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −24.0997 | −1.34511 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 20.4235i | 1.13640i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 30.3746 | − | 2.20822i | 1.68488 | − | 0.122490i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 5.32475 | − | 3.07425i | 0.294459 | − | 0.170006i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 5.13746 | − | 2.44631i | 0.283237 | − | 0.134869i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −2.41238 | − | 4.17836i | −0.132596 | − | 0.229663i | 0.792080 | − | 0.610417i | \(-0.208998\pi\) |
−0.924677 | + | 0.380753i | \(0.875665\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −9.13746 | − | 29.7405i | −0.499233 | − | 1.62490i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 13.0192i | 0.709198i | 0.935018 | + | 0.354599i | \(0.115383\pi\) | ||||
−0.935018 | + | 0.354599i | \(0.884617\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −11.2749 | + | 19.5287i | −0.612369 | + | 1.06065i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 4.86254 | + | 8.42217i | 0.263321 | + | 0.456086i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 18.0000 | + | 4.35890i | 0.971909 | + | 0.235358i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 2.53779 | + | 2.35999i | 0.136630 | + | 0.127058i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −10.5000 | − | 6.06218i | −0.563670 | − | 0.325435i | 0.190947 | − | 0.981600i | \(-0.438844\pi\) |
−0.754617 | + | 0.656165i | \(0.772177\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 11.2749 | 0.603532 | 0.301766 | − | 0.953382i | \(-0.402424\pi\) | ||||
0.301766 | + | 0.953382i | \(0.402424\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −31.6495 | −1.68933 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −18.4124 | − | 10.6304i | −0.979992 | − | 0.565799i | −0.0777242 | − | 0.996975i | \(-0.524765\pi\) |
−0.902268 | + | 0.431176i | \(0.858099\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 17.2749 | + | 16.0646i | 0.916857 | + | 0.852622i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 9.41238 | + | 19.7668i | 0.498156 | + | 1.04617i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 0.687293 | + | 1.19043i | 0.0362739 | + | 0.0628283i | 0.883592 | − | 0.468257i | \(-0.155118\pi\) |
−0.847318 | + | 0.531085i | \(0.821784\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 0.362541 | − | 0.627940i | 0.0190811 | − | 0.0330495i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 10.0888i | 0.529523i | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 1.41238 | + | 4.59698i | 0.0739271 | + | 0.240617i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 12.7749 | + | 7.37560i | 0.666845 | + | 0.385003i | 0.794880 | − | 0.606766i | \(-0.207534\pi\) |
−0.128035 | + | 0.991770i | \(0.540867\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −16.1375 | − | 11.1066i | −0.837815 | − | 0.576624i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 4.86254 | − | 2.80739i | 0.251773 | − | 0.145361i | −0.368803 | − | 0.929508i | \(-0.620232\pi\) |
0.620576 | + | 0.784146i | \(0.286899\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 18.0498 | − | 7.01452i | 0.932089 | − | 0.362228i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | − | 19.9474i | − | 1.02734i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 23.6495 | 1.21479 | 0.607397 | − | 0.794399i | \(-0.292214\pi\) | ||||
0.607397 | + | 0.794399i | \(0.292214\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −1.54983 | + | 2.68439i | −0.0794004 | + | 0.137526i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −17.3248 | + | 10.0025i | −0.885253 | + | 0.511101i | −0.872387 | − | 0.488816i | \(-0.837429\pi\) |
−0.0128665 | + | 0.999917i | \(0.504096\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −13.1375 | + | 2.92248i | −0.669547 | + | 0.148943i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −2.68729 | + | 4.65453i | −0.136251 | + | 0.235994i | −0.926075 | − | 0.377340i | \(-0.876839\pi\) |
0.789824 | + | 0.613334i | \(0.210172\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −4.27492 | −0.216192 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | − | 31.6531i | − | 1.59669i | ||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 0.137459 | − | 0.599168i | 0.00691629 | − | 0.0301474i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −13.1375 | + | 7.58492i | −0.659350 | + | 0.380676i | −0.792029 | − | 0.610483i | \(-0.790975\pi\) |
0.132679 | + | 0.991159i | \(0.457642\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −1.54983 | + | 19.5287i | −0.0775888 | + | 0.977659i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −1.50000 | − | 2.59808i | −0.0749064 | − | 0.129742i | 0.826139 | − | 0.563466i | \(-0.190532\pi\) |
−0.901046 | + | 0.433724i | \(0.857199\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 22.5498 | + | 13.0192i | 1.12329 | + | 0.648530i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −19.2371 | + | 5.91041i | −0.955901 | + | 0.293691i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | − | 12.7732i | − | 0.633142i | ||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 5.04983 | − | 8.74657i | 0.249698 | − | 0.432490i | −0.713744 | − | 0.700407i | \(-0.753002\pi\) |
0.963442 | + | 0.267917i | \(0.0863352\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 7.96221 | + | 13.7910i | 0.392747 | + | 0.680258i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −6.41238 | + | 9.31697i | −0.315532 | + | 0.458458i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −8.63746 | + | 9.28819i | −0.423996 | + | 0.455940i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −25.6495 | − | 14.8087i | −1.25606 | − | 0.725187i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 17.0997 | 0.835373 | 0.417687 | − | 0.908591i | \(-0.362841\pi\) | ||||
0.417687 | + | 0.908591i | \(0.362841\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 3.27492 | 0.159610 | 0.0798048 | − | 0.996811i | \(-0.474570\pi\) | ||||
0.0798048 | + | 0.996811i | \(0.474570\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −10.4124 | + | 21.4989i | −0.505074 | + | 1.04285i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −1.76287 | − | 3.70219i | −0.0853114 | − | 0.179161i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −12.0000 | − | 20.7846i | −0.579365 | − | 1.00349i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 9.68729 | − | 16.7789i | 0.466620 | − | 0.808210i | −0.532653 | − | 0.846334i | \(-0.678805\pi\) |
0.999273 | + | 0.0381236i | \(0.0121381\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 26.8756i | − | 1.29156i | −0.763525 | − | 0.645778i | \(-0.776533\pi\) | ||
0.763525 | − | 0.645778i | \(-0.223467\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −3.72508 | − | 12.1244i | −0.178604 | − | 0.581318i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −3.31271 | − | 1.91259i | −0.158468 | − | 0.0914917i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −0.587624 | − | 1.01779i | −0.0280458 | − | 0.0485767i | 0.851662 | − | 0.524092i | \(-0.175595\pi\) |
−0.879708 | + | 0.475515i | \(0.842262\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 10.5000 | − | 6.06218i | 0.498870 | − | 0.288023i | −0.229377 | − | 0.973338i | \(-0.573669\pi\) |
0.728247 | + | 0.685315i | \(0.240335\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −3.50000 | + | 15.2561i | −0.165916 | + | 0.723211i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 13.0767i | 0.618507i | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 25.8248 | 1.21875 | 0.609373 | − | 0.792884i | \(-0.291421\pi\) | ||||
0.609373 | + | 0.792884i | \(0.291421\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −12.8248 | + | 22.2131i | −0.603894 | + | 1.04598i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −30.4124 | + | 17.5586i | −1.42890 | + | 0.824975i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −26.5498 | + | 24.3638i | −1.24468 | + | 1.14219i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −17.6873 | + | 10.2118i | −0.827377 | + | 0.477686i | −0.852954 | − | 0.521987i | \(-0.825191\pi\) |
0.0255769 | + | 0.999673i | \(0.491858\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 12.4124 | − | 21.4989i | 0.579360 | − | 1.00348i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −14.0000 | −0.652045 | −0.326023 | − | 0.945362i | \(-0.605709\pi\) | ||||
−0.326023 | + | 0.945362i | \(0.605709\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 6.50958i | − | 0.302526i | −0.988494 | − | 0.151263i | \(-0.951666\pi\) | ||
0.988494 | − | 0.151263i | \(-0.0483340\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 16.1375 | + | 3.70219i | 0.748357 | + | 0.171685i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −16.5997 | + | 9.58382i | −0.768141 | + | 0.443486i | −0.832211 | − | 0.554459i | \(-0.812925\pi\) |
0.0640700 | + | 0.997945i | \(0.479592\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 30.3248 | + | 20.8709i | 1.40027 | + | 0.963730i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 9.41238 | + | 16.3027i | 0.433699 | + | 0.751189i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 12.8248 | + | 7.40437i | 0.589683 | + | 0.340453i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −17.6873 | + | 12.0014i | −0.811549 | + | 0.550660i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 6.41238 | − | 11.1066i | 0.292989 | − | 0.507472i | −0.681526 | − | 0.731794i | \(-0.738683\pi\) |
0.974515 | + | 0.224322i | \(0.0720168\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −17.0997 | − | 29.6175i | −0.779678 | − | 1.35044i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −4.08762 | − | 0.324401i | −0.185993 | − | 0.0147608i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 10.5498 | − | 11.3446i | 0.479043 | − | 0.515134i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −28.9622 | − | 16.7213i | −1.31240 | − | 0.757716i | −0.329909 | − | 0.944013i | \(-0.607018\pi\) |
−0.982494 | + | 0.186296i | \(0.940352\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 12.8248 | 0.579955 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 13.4502 | 0.606997 | 0.303499 | − | 0.952832i | \(-0.401845\pi\) | ||||
0.303499 | + | 0.952832i | \(0.401845\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 13.5498 | + | 7.82300i | 0.610254 | + | 0.352330i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −27.8248 | − | 2.20822i | −1.24811 | − | 0.0990523i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −19.6873 | − | 34.0994i | −0.881324 | − | 1.52650i | −0.849869 | − | 0.526993i | \(-0.823319\pi\) |
−0.0314548 | − | 0.999505i | \(-0.510014\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −10.9124 | + | 18.9008i | −0.487529 | + | 0.844425i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 16.1797i | 0.721418i | 0.932678 | + | 0.360709i | \(0.117465\pi\) | ||||
−0.932678 | + | 0.360709i | \(0.882535\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 3.31271 | − | 1.01779i | 0.147414 | − | 0.0452913i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −36.1495 | − | 20.8709i | −1.60546 | − | 0.926910i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −14.7749 | − | 25.5909i | −0.654887 | − | 1.13430i | −0.981922 | − | 0.189285i | \(-0.939383\pi\) |
0.327036 | − | 0.945012i | \(-0.393950\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −4.68729 | − | 3.22602i | −0.207354 | − | 0.142711i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 19.2371 | − | 11.1066i | 0.849340 | − | 0.490367i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 5.59967 | + | 1.28465i | 0.246751 | + | 0.0566085i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | − | 4.89261i | − | 0.215177i | ||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −32.4743 | −1.42546 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 6.41238 | − | 11.1066i | 0.280931 | − | 0.486587i | −0.690683 | − | 0.723158i | \(-0.742690\pi\) |
0.971614 | + | 0.236570i | \(0.0760234\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −10.1375 | + | 5.85286i | −0.443280 | + | 0.255928i | −0.704988 | − | 0.709219i | \(-0.749048\pi\) |
0.261708 | + | 0.965147i | \(0.415714\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −11.5876 | + | 19.7668i | −0.505725 | + | 0.862695i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −17.6873 | + | 10.2118i | −0.770471 | + | 0.444831i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −11.0997 | + | 19.2252i | −0.482594 | + | 0.835878i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 68.6750i | 2.97464i | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 30.3248 | + | 6.95698i | 1.31105 | + | 0.300776i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −0.412376 | + | 0.238085i | −0.0177953 | + | 0.0102741i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 10.0378 | − | 12.3624i | 0.432358 | − | 0.532488i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 1.22508 | + | 2.12191i | 0.0526704 | + | 0.0912278i | 0.891159 | − | 0.453692i | \(-0.149893\pi\) |
−0.838488 | + | 0.544920i | \(0.816560\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −25.0876 | − | 14.4843i | −1.07661 | − | 0.621583i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −7.58762 | + | 2.33122i | −0.325018 | + | 0.0998585i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 36.1271i | 1.54468i | 0.635208 | + | 0.772341i | \(0.280914\pi\) | ||||
−0.635208 | + | 0.772341i | \(0.719086\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 7.00000 | + | 12.1244i | 0.298210 | + | 0.516515i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.312707 | + | 0.656712i | 0.0132977 | + | 0.0279262i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −15.9244 | − | 14.8087i | −0.675954 | − | 0.628596i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 4.86254 | + | 2.80739i | 0.206032 | + | 0.118953i | 0.599466 | − | 0.800400i | \(-0.295380\pi\) |
−0.393434 | + | 0.919353i | \(0.628713\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 39.6495 | 1.67700 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 18.8248 | 0.794782 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 10.5997 | + | 6.11972i | 0.446723 | + | 0.257916i | 0.706445 | − | 0.707768i | \(-0.250298\pi\) |
−0.259722 | + | 0.965683i | \(0.583631\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 19.8248 | − | 21.3183i | 0.834034 | − | 0.896869i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 13.5000 | − | 19.6150i | 0.566947 | − | 0.823754i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −14.6873 | − | 25.4391i | −0.615723 | − | 1.06646i | −0.990257 | − | 0.139251i | \(-0.955531\pi\) |
0.374534 | − | 0.927213i | \(-0.377803\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −0.137459 | + | 0.238085i | −0.00575246 | + | 0.00996356i | −0.868887 | − | 0.495010i | \(-0.835164\pi\) |
0.863135 | + | 0.504974i | \(0.168498\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 39.5336i | 1.65154i | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −2.51204 | − | 3.70219i | −0.104760 | − | 0.154392i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −7.13746 | − | 4.12081i | −0.297136 | − | 0.171552i | 0.344019 | − | 0.938963i | \(-0.388211\pi\) |
−0.641156 | + | 0.767411i | \(0.721545\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 7.96221 | + | 13.7910i | 0.330898 | + | 0.573132i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 1.18729 | − | 14.9605i | 0.0492572 | − | 0.620667i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −14.5876 | + | 8.42217i | −0.604158 | + | 0.348811i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | − | 13.9715i | − | 0.576665i | −0.957530 | − | 0.288333i | \(-0.906899\pi\) | ||
0.957530 | − | 0.288333i | \(-0.0931009\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −18.2749 | −0.753005 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 22.5498 | − | 39.0575i | 0.927576 | − | 1.60661i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 17.5876 | − | 10.1542i | 0.722237 | − | 0.416984i | −0.0933384 | − | 0.995634i | \(-0.529754\pi\) |
0.815576 | + | 0.578651i | \(0.196421\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −6.13746 | − | 27.5898i | −0.251611 | − | 1.13107i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −14.5876 | + | 8.42217i | −0.597032 | + | 0.344696i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 1.13746 | − | 1.97014i | 0.0464753 | − | 0.0804976i | −0.841852 | − | 0.539709i | \(-0.818534\pi\) |
0.888327 | + | 0.459211i | \(0.151868\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 14.0000 | 0.571072 | 0.285536 | − | 0.958368i | \(-0.407828\pi\) | ||||
0.285536 | + | 0.958368i | \(0.407828\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 2.91238 | − | 12.6948i | 0.118405 | − | 0.516115i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −27.8746 | + | 16.0934i | −1.13139 | + | 0.653211i | −0.944285 | − | 0.329128i | \(-0.893245\pi\) |
−0.187109 | + | 0.982339i | \(0.559912\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 12.3625 | + | 8.50848i | 0.500955 | + | 0.344781i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −6.54983 | − | 11.3446i | −0.264978 | − | 0.458955i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −32.0619 | − | 18.5109i | −1.29497 | − | 0.747650i | −0.315437 | − | 0.948947i | \(-0.602151\pi\) |
−0.979530 | + | 0.201297i | \(0.935484\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 12.8248 | + | 41.7419i | 0.517144 | + | 1.68319i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | − | 3.57919i | − | 0.144093i | −0.997401 | − | 0.0720464i | \(-0.977047\pi\) | ||
0.997401 | − | 0.0720464i | \(-0.0229530\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −21.9622 | + | 38.0397i | −0.882736 | + | 1.52894i | −0.0344487 | + | 0.999406i | \(0.510968\pi\) |
−0.848287 | + | 0.529537i | \(0.822366\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 2.32475 | + | 4.02659i | 0.0932891 | + | 0.161581i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −7.96221 | − | 16.7213i | −0.318999 | − | 0.669926i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −24.7371 | + | 3.61587i | −0.989485 | + | 0.144635i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 14.5876 | + | 8.42217i | 0.582574 | + | 0.336349i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 26.8248 | 1.06957 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −2.90033 | −0.115460 | −0.0577302 | − | 0.998332i | \(-0.518386\pi\) | ||||
−0.0577302 | + | 0.998332i | \(0.518386\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 29.4743 | + | 17.0170i | 1.17150 | + | 0.676364i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 2.72508 | − | 2.93039i | 0.108142 | − | 0.116289i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 6.72508 | − | 42.1029i | 0.266457 | − | 1.66818i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −14.0498 | + | 24.3350i | −0.554935 | + | 0.961176i | 0.442973 | + | 0.896535i | \(0.353924\pi\) |
−0.997909 | + | 0.0646411i | \(0.979410\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | − | 38.3353i | − | 1.51180i | −0.654689 | − | 0.755898i | \(-0.727200\pi\) | ||
0.654689 | − | 0.755898i | \(-0.272800\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 24.0997 | − | 7.40437i | 0.948924 | − | 0.291547i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −0.675248 | − | 0.389855i | −0.0265468 | − | 0.0153268i | 0.486668 | − | 0.873587i | \(-0.338212\pi\) |
−0.513215 | + | 0.858260i | \(0.671546\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 4.86254 | + | 8.42217i | 0.190871 | + | 0.330599i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −17.6873 | + | 8.42217i | −0.693220 | + | 0.330091i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −32.0619 | + | 18.5109i | −1.25468 | + | 0.724389i | −0.972035 | − | 0.234836i | \(-0.924545\pi\) |
−0.282643 | + | 0.959225i | \(0.591211\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −9.13746 | + | 39.8293i | −0.357030 | + | 1.55626i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −25.4502 | −0.991398 | −0.495699 | − | 0.868494i | \(-0.665088\pi\) | ||||
−0.495699 | + | 0.868494i | \(0.665088\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 7.77492 | − | 13.4666i | 0.302409 | − | 0.523788i | −0.674272 | − | 0.738483i | \(-0.735542\pi\) |
0.976681 | + | 0.214695i | \(0.0688758\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 43.6495 | − | 25.2011i | 1.69521 | − | 0.978728i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 7.58762 | − | 24.1257i | 0.294235 | − | 0.935555i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −2.53779 | + | 1.46519i | −0.0982636 | + | 0.0567325i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 7.54983 | − | 13.0767i | 0.291893 | − | 0.505574i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −3.52575 | −0.136110 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 3.57919i | 0.137968i | 0.997618 | + | 0.0689838i | \(0.0219757\pi\) | ||||
−0.997618 | + | 0.0689838i | \(0.978024\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 25.9124 | − | 1.88382i | 0.997368 | − | 0.0725083i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −21.3127 | + | 12.3049i | −0.819114 | + | 0.472916i | −0.850111 | − | 0.526604i | \(-0.823465\pi\) |
0.0309969 | + | 0.999519i | \(0.490132\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −1.45017 | + | 18.2728i | −0.0556522 | + | 0.701248i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 5.58762 | + | 9.67805i | 0.214118 | + | 0.370864i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −13.5997 | − | 7.85177i | −0.520377 | − | 0.300440i | 0.216712 | − | 0.976236i | \(-0.430467\pi\) |
−0.737089 | + | 0.675796i | \(0.763800\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −6.03779 | − | 19.6517i | −0.230692 | − | 0.750854i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | − | 7.40437i | − | 0.282494i | ||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −22.5498 | + | 39.0575i | −0.859080 | + | 1.48797i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −3.68729 | − | 6.38658i | −0.140271 | − | 0.242957i | 0.787327 | − | 0.616535i | \(-0.211464\pi\) |
−0.927599 | + | 0.373578i | \(0.878131\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 28.0000 | + | 26.0383i | 1.06210 | + | 0.987689i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −46.6495 | − | 26.9331i | −1.76698 | − | 1.02016i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 32.2749 | 1.22075 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −13.8248 | −0.522154 | −0.261077 | − | 0.965318i | \(-0.584078\pi\) | ||||
−0.261077 | + | 0.965318i | \(0.584078\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 20.7870 | + | 12.0014i | 0.783995 | + | 0.452640i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −6.09967 | − | 5.67232i | −0.229727 | − | 0.213632i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −2.32475 | + | 3.37779i | −0.0874313 | + | 0.127035i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −12.7749 | − | 22.1268i | −0.479772 | − | 0.830990i | 0.519959 | − | 0.854191i | \(-0.325947\pi\) |
−0.999731 | + | 0.0232018i | \(0.992614\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | − | 3.82518i | − | 0.143254i | ||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 9.09967 | + | 29.6175i | 0.340308 | + | 1.10763i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −21.8248 | − | 12.6005i | −0.815060 | − | 0.470575i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −3.68729 | − | 6.38658i | −0.137513 | − | 0.238179i | 0.789042 | − | 0.614340i | \(-0.210577\pi\) |
−0.926555 | + | 0.376160i | \(0.877244\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −6.13746 | + | 2.92248i | −0.228571 | + | 0.108839i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 19.2371 | − | 11.1066i | 0.715436 | − | 0.413057i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 1.18729 | + | 16.3315i | 0.0440950 | + | 0.606536i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 18.6915i | − | 0.693228i | −0.938008 | − | 0.346614i | \(-0.887331\pi\) | ||
0.938008 | − | 0.346614i | \(-0.112669\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −27.0000 | −1.00000 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −15.5498 | + | 26.9331i | −0.575131 | + | 0.996157i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 28.8625 | − | 16.6638i | 1.06606 | − | 0.615491i | 0.138959 | − | 0.990298i | \(-0.455624\pi\) |
0.927103 | + | 0.374807i | \(0.122291\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −3.77492 | − | 26.8468i | −0.139240 | − | 0.990259i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 27.4124 | − | 15.8265i | 1.00975 | − | 0.582978i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −15.9622 | + | 27.6474i | −0.587179 | + | 1.01702i | 0.407420 | + | 0.913241i | \(0.366428\pi\) |
−0.994600 | + | 0.103784i | \(0.966905\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 45.0997 | 1.65678 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 19.5287i | 0.716440i | 0.933637 | + | 0.358220i | \(0.116616\pi\) | ||||
−0.933637 | + | 0.358220i | \(0.883384\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 3.77492 | − | 16.4545i | 0.138302 | − | 0.602846i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −33.2371 | + | 15.8265i | −1.21446 | + | 0.578289i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −11.1375 | − | 19.2906i | −0.406412 | − | 0.703926i | 0.588073 | − | 0.808808i | \(-0.299887\pi\) |
−0.994485 | + | 0.104882i | \(0.966553\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 8.17525 | + | 4.71998i | 0.297923 | + | 0.172006i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 43.3368 | − | 13.3148i | 1.57719 | − | 0.484575i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − | 9.43996i | − | 0.343101i | −0.985175 | − | 0.171551i | \(-0.945122\pi\) | ||
0.985175 | − | 0.171551i | \(-0.0548777\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −1.76287 | + | 3.05338i | −0.0639882 | + | 0.110831i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 14.9622 | + | 25.9153i | 0.542380 | + | 0.939429i | 0.998767 | + | 0.0496479i | \(0.0158099\pi\) |
−0.456387 | + | 0.889781i | \(0.650857\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 5.32475 | − | 7.73668i | 0.192769 | − | 0.280087i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 22.5498 | + | 13.0192i | 0.814227 | + | 0.470094i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 14.0000 | 0.504853 | 0.252426 | − | 0.967616i | \(-0.418771\pi\) | ||||
0.252426 | + | 0.967616i | \(0.418771\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 42.8248 | 1.54230 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 23.5876 | + | 13.6183i | 0.848388 | + | 0.489817i | 0.860107 | − | 0.510114i | \(-0.170397\pi\) |
−0.0117187 | + | 0.999931i | \(0.503730\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −19.2371 | − | 9.31697i | −0.691018 | − | 0.334675i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 25.6495 | + | 2.03559i | 0.920171 | + | 0.0730264i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −24.0997 | − | 41.7419i | −0.863460 | − | 1.49556i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −12.0000 | + | 20.7846i | −0.429394 | + | 0.743732i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | − | 17.0170i | − | 0.608137i | ||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −7.13746 | − | 23.2309i | −0.254747 | − | 0.829147i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 1.50000 | + | 0.866025i | 0.0534692 | + | 0.0308705i | 0.526496 | − | 0.850177i | \(-0.323505\pi\) |
−0.473027 | + | 0.881048i | \(0.656839\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 23.3248 | + | 40.3997i | 0.830383 | + | 1.43827i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −2.72508 | + | 34.3375i | −0.0968928 | + | 1.22090i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −8.17525 | + | 4.71998i | −0.290312 | + | 0.167611i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −6.41238 | + | 27.9509i | −0.227424 | + | 0.991316i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 29.3873i | 1.04095i | 0.853876 | + | 0.520476i | \(0.174246\pi\) | ||||
−0.853876 | + | 0.520476i | \(0.825754\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 10.2749 | 0.363500 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −4.23713 | + | 2.44631i | −0.149525 | + | 0.0863283i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 5.04983 | + | 1.58819i | 0.177983 | + | 0.0559764i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −44.3248 | + | 25.5909i | −1.56031 | + | 0.900843i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 21.5997 | − | 37.4117i | 0.759404 | − | 1.31533i | −0.183751 | − | 0.982973i | \(-0.558824\pi\) |
0.943155 | − | 0.332353i | \(-0.107843\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −22.5498 | −0.791832 | −0.395916 | − | 0.918287i | \(-0.629573\pi\) | ||||
−0.395916 | + | 0.918287i | \(0.629573\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | − | 22.2131i | − | 0.779048i | ||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −16.1375 | − | 3.70219i | −0.565271 | − | 0.129682i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −24.0997 | + | 13.9140i | −0.843141 | + | 0.486788i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −8.68729 | − | 15.0468i | −0.303189 | − | 0.525138i | 0.673668 | − | 0.739034i | \(-0.264718\pi\) |
−0.976856 | + | 0.213896i | \(0.931385\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −27.9743 | − | 16.1509i | −0.975121 | − | 0.562987i | −0.0743276 | − | 0.997234i | \(-0.523681\pi\) |
−0.900794 | + | 0.434247i | \(0.857014\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 11.0619 | + | 16.3027i | 0.385125 | + | 0.567588i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | − | 45.5670i | − | 1.58452i | −0.610183 | − | 0.792261i | \(-0.708904\pi\) | ||
0.610183 | − | 0.792261i | \(-0.291096\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 0.962210 | − | 1.66660i | 0.0334189 | − | 0.0578833i | −0.848832 | − | 0.528662i | \(-0.822694\pi\) |
0.882251 | + | 0.470779i | \(0.156027\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 16.1375 | + | 27.9509i | 0.559802 | + | 0.969606i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 25.9622 | + | 21.0802i | 0.899537 | + | 0.730387i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 19.1873 | − | 20.6328i | 0.664004 | − | 0.714029i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 19.2371 | + | 11.1066i | 0.664932 | + | 0.383899i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 10.9003 | 0.376321 | 0.188161 | − | 0.982138i | \(-0.439747\pi\) | ||||
0.188161 | + | 0.982138i | \(0.439747\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −18.2749 | −0.630170 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 9.00000 | + | 5.19615i | 0.309976 | + | 0.178965i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 39.4622 | + | 36.6975i | 1.35754 | + | 1.26243i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 6.62541 | + | 13.9140i | 0.227652 | + | 0.478089i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −16.9622 | − | 29.3794i | −0.582142 | − | 1.00830i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −2.51204 | + | 4.35099i | −0.0861118 | + | 0.149150i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | − | 30.4547i | − | 1.04275i | −0.853327 | − | 0.521375i | \(-0.825419\pi\) | ||
0.853327 | − | 0.521375i | \(-0.174581\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 28.8625 | + | 16.6638i | 0.985926 | + | 0.569224i | 0.904054 | − | 0.427418i | \(-0.140577\pi\) |
0.0818717 | + | 0.996643i | \(0.473910\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −17.6873 | − | 30.6353i | −0.603483 | − | 1.04526i | −0.992289 | − | 0.123943i | \(-0.960446\pi\) |
0.388807 | − | 0.921319i | \(-0.372887\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −42.5619 | − | 29.2931i | −1.45050 | − | 0.998306i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 21.7749 | − | 12.5718i | 0.741227 | − | 0.427947i | −0.0812884 | − | 0.996691i | \(-0.525903\pi\) |
0.822515 | + | 0.568743i | \(0.192570\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 40.8625 | + | 9.37451i | 1.38937 | + | 0.318743i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 10.0888i | 0.342632i | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 0.625414 | 0.0212157 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 42.3746 | − | 73.3949i | 1.43581 | − | 2.48689i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 20.2870 | − | 21.5276i | 0.685824 | − | 0.727767i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 38.6873 | − | 22.3361i | 1.30638 | − | 0.754237i | 0.324887 | − | 0.945753i | \(-0.394674\pi\) |
0.981490 | + | 0.191516i | \(0.0613402\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −6.00000 | + | 10.3923i | −0.202375 | + | 0.350524i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 40.0241 | 1.34845 | 0.674223 | − | 0.738528i | \(-0.264479\pi\) | ||||
0.674223 | + | 0.738528i | \(0.264479\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 20.6695i | − | 0.695585i | −0.937572 | − | 0.347792i | \(-0.886931\pi\) | ||
0.937572 | − | 0.347792i | \(-0.113069\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 16.1375 | + | 3.70219i | 0.542455 | + | 0.124448i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 33.9743 | − | 19.6150i | 1.14074 | − | 0.658609i | 0.194129 | − | 0.980976i | \(-0.437812\pi\) |
0.946615 | + | 0.322367i | \(0.104479\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −0.374586 | + | 4.71998i | −0.0125632 | + | 0.158303i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −10.2371 | − | 17.7312i | −0.342957 | − | 0.594018i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 7.96221 | + | 4.59698i | 0.266445 | + | 0.153832i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0.587624 | − | 0.180541i | 0.0196421 | − | 0.00603483i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 9.43996i | 0.315191i | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −7.00000 | + | 12.1244i | −0.233463 | + | 0.404370i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −17.6873 | − | 30.6353i | −0.589249 | − | 1.02061i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −16.9124 | + | 24.5731i | −0.562809 | + | 0.817742i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 27.3866 | + | 25.4679i | 0.910362 | + | 0.846582i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −39.2492 | − | 22.6605i | −1.30325 | − | 0.752430i | −0.322288 | − | 0.946642i | \(-0.604452\pi\) |
−0.980960 | + | 0.194212i | \(0.937785\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −5.09967 | −0.168960 | −0.0844798 | − | 0.996425i | \(-0.526923\pi\) | ||||
−0.0844798 | + | 0.996425i | \(0.526923\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −11.1752 | − | 6.45203i | −0.369847 | − | 0.213531i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −4.08762 | + | 4.39558i | −0.135133 | + | 0.145313i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −20.7870 | − | 43.6544i | −0.686446 | − | 1.44160i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −2.96221 | − | 5.13070i | −0.0977143 | − | 0.169246i | 0.813024 | − | 0.582230i | \(-0.197820\pi\) |
−0.910738 | + | 0.412984i | \(0.864486\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 3.46221 | − | 5.99672i | 0.114084 | − | 0.197599i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 64.2585i | 2.11509i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 15.7629 | + | 23.2309i | 0.518280 | + | 0.763828i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −8.95017 | − | 15.5021i | −0.293645 | − | 0.508609i | 0.681023 | − | 0.732262i | \(-0.261535\pi\) |
−0.974669 | + | 0.223653i | \(0.928202\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 10.6873 | + | 27.9509i | 0.350262 | + | 0.916054i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 19.2371 | − | 11.1066i | 0.629795 | − | 0.363612i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −23.6873 | − | 5.43424i | −0.774657 | − | 0.177719i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 10.5074i | 0.343262i | 0.985161 | + | 0.171631i | \(0.0549036\pi\) | ||||
−0.985161 | + | 0.171631i | \(0.945096\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 25.0241 | 0.816630 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −2.13746 | + | 3.70219i | −0.0696792 | + | 0.120688i | −0.898760 | − | 0.438441i | \(-0.855531\pi\) |
0.829081 | + | 0.559129i | \(0.188864\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 8.73713 | − | 5.04438i | 0.284520 | − | 0.164268i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −22.6495 | + | 20.7846i | −0.736788 | + | 0.676123i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 36.1495 | − | 20.8709i | 1.17470 | − | 0.678214i | 0.219918 | − | 0.975518i | \(-0.429421\pi\) |
0.954783 | + | 0.297304i | \(0.0960876\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −6.54983 | + | 11.3446i | −0.212617 | + | 0.368263i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −6.62541 | −0.214844 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | − | 29.6175i | − | 0.959405i | −0.877431 | − | 0.479702i | \(-0.840745\pi\) | ||
0.877431 | − | 0.479702i | \(-0.159255\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 11.4124 | − | 49.7454i | 0.369296 | − | 1.60972i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 11.1752 | − | 6.45203i | 0.361244 | − | 0.208565i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 20.0378 | + | 13.7910i | 0.647054 | + | 0.445333i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 6.36254 | + | 11.0202i | 0.205243 | + | 0.355492i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −6.03779 | − | 19.6517i | −0.194363 | − | 0.632611i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 6.50958i | − | 0.209334i | −0.994507 | − | 0.104667i | \(-0.966622\pi\) | ||
0.994507 | − | 0.104667i | \(-0.0333777\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −17.6873 | + | 30.6353i | −0.568198 | + | 0.984147i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 7.96221 | + | 13.7910i | 0.255519 | + | 0.442573i | 0.965036 | − | 0.262116i | \(-0.0844202\pi\) |
−0.709517 | + | 0.704688i | \(0.751087\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −45.0997 | − | 3.57919i | −1.44583 | − | 0.114744i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 47.4743 | + | 22.9928i | 1.52039 | + | 0.736360i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −14.5876 | − | 8.42217i | −0.466699 | − | 0.269449i | 0.248158 | − | 0.968720i | \(-0.420175\pi\) |
−0.714857 | + | 0.699271i | \(0.753508\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −15.9244 | −0.508947 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 32.2251 | + | 18.6052i | 1.02782 | + | 0.593412i | 0.916360 | − | 0.400356i | \(-0.131114\pi\) |
0.111461 | + | 0.993769i | \(0.464447\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −39.6495 | + | 42.6366i | −1.26334 | + | 1.35852i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 9.82475 | + | 0.779710i | 0.312725 | + | 0.0248184i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −2.91238 | − | 5.04438i | −0.0926082 | − | 0.160402i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −17.2371 | + | 29.8556i | −0.547555 | + | 0.948394i | 0.450886 | + | 0.892582i | \(0.351108\pi\) |
−0.998441 | + | 0.0558122i | \(0.982225\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | − | 8.35671i | − | 0.265192i | ||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 20.7870 | − | 6.38658i | 0.658991 | − | 0.202468i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 4.13746 | + | 2.38876i | 0.131035 | + | 0.0756529i | 0.564084 | − | 0.825717i | \(-0.309229\pi\) |
−0.433050 | + | 0.901370i | \(0.642563\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −14.5876 | − | 25.2665i | −0.461532 | − | 0.799397i |
(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 | 560.2.bw.e.529.1 | 4 | ||
4.3 | odd | 2 | 140.2.q.a.109.1 | yes | 4 | ||
5.4 | even | 2 | 560.2.bw.a.529.1 | 4 | |||
7.2 | even | 3 | 560.2.bw.a.289.2 | 4 | |||
12.11 | even | 2 | 1260.2.bm.a.109.2 | 4 | |||
20.3 | even | 4 | 700.2.i.f.501.4 | 8 | |||
20.7 | even | 4 | 700.2.i.f.501.1 | 8 | |||
20.19 | odd | 2 | 140.2.q.b.109.1 | yes | 4 | ||
28.3 | even | 6 | 980.2.e.c.589.1 | 4 | |||
28.11 | odd | 6 | 980.2.e.f.589.4 | 4 | |||
28.19 | even | 6 | 980.2.q.b.569.1 | 4 | |||
28.23 | odd | 6 | 140.2.q.b.9.2 | yes | 4 | ||
28.27 | even | 2 | 980.2.q.g.949.2 | 4 | |||
35.9 | even | 6 | inner | 560.2.bw.e.289.1 | 4 | ||
60.59 | even | 2 | 1260.2.bm.b.109.2 | 4 | |||
84.23 | even | 6 | 1260.2.bm.b.289.1 | 4 | |||
140.3 | odd | 12 | 4900.2.a.bf.1.4 | 4 | |||
140.19 | even | 6 | 980.2.q.g.569.2 | 4 | |||
140.23 | even | 12 | 700.2.i.f.401.4 | 8 | |||
140.39 | odd | 6 | 980.2.e.f.589.2 | 4 | |||
140.59 | even | 6 | 980.2.e.c.589.3 | 4 | |||
140.67 | even | 12 | 4900.2.a.be.1.4 | 4 | |||
140.79 | odd | 6 | 140.2.q.a.9.1 | ✓ | 4 | ||
140.87 | odd | 12 | 4900.2.a.bf.1.2 | 4 | |||
140.107 | even | 12 | 700.2.i.f.401.1 | 8 | |||
140.123 | even | 12 | 4900.2.a.be.1.2 | 4 | |||
140.139 | even | 2 | 980.2.q.b.949.2 | 4 | |||
420.359 | even | 6 | 1260.2.bm.a.289.2 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
140.2.q.a.9.1 | ✓ | 4 | 140.79 | odd | 6 | ||
140.2.q.a.109.1 | yes | 4 | 4.3 | odd | 2 | ||
140.2.q.b.9.2 | yes | 4 | 28.23 | odd | 6 | ||
140.2.q.b.109.1 | yes | 4 | 20.19 | odd | 2 | ||
560.2.bw.a.289.2 | 4 | 7.2 | even | 3 | |||
560.2.bw.a.529.1 | 4 | 5.4 | even | 2 | |||
560.2.bw.e.289.1 | 4 | 35.9 | even | 6 | inner | ||
560.2.bw.e.529.1 | 4 | 1.1 | even | 1 | trivial | ||
700.2.i.f.401.1 | 8 | 140.107 | even | 12 | |||
700.2.i.f.401.4 | 8 | 140.23 | even | 12 | |||
700.2.i.f.501.1 | 8 | 20.7 | even | 4 | |||
700.2.i.f.501.4 | 8 | 20.3 | even | 4 | |||
980.2.e.c.589.1 | 4 | 28.3 | even | 6 | |||
980.2.e.c.589.3 | 4 | 140.59 | even | 6 | |||
980.2.e.f.589.2 | 4 | 140.39 | odd | 6 | |||
980.2.e.f.589.4 | 4 | 28.11 | odd | 6 | |||
980.2.q.b.569.1 | 4 | 28.19 | even | 6 | |||
980.2.q.b.949.2 | 4 | 140.139 | even | 2 | |||
980.2.q.g.569.2 | 4 | 140.19 | even | 6 | |||
980.2.q.g.949.2 | 4 | 28.27 | even | 2 | |||
1260.2.bm.a.109.2 | 4 | 12.11 | even | 2 | |||
1260.2.bm.a.289.2 | 4 | 420.359 | even | 6 | |||
1260.2.bm.b.109.2 | 4 | 60.59 | even | 2 | |||
1260.2.bm.b.289.1 | 4 | 84.23 | even | 6 | |||
4900.2.a.be.1.2 | 4 | 140.123 | even | 12 | |||
4900.2.a.be.1.4 | 4 | 140.67 | even | 12 | |||
4900.2.a.bf.1.2 | 4 | 140.87 | odd | 12 | |||
4900.2.a.bf.1.4 | 4 | 140.3 | odd | 12 |