Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [224,3,Mod(79,224)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(224, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("224.79");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 224 = 2^{5} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 224.o (of order \(6\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.10355792167\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 3 x^{11} - 4 x^{10} + 3 x^{9} + 86 x^{8} - 163 x^{7} + 155 x^{6} - 166 x^{5} + 164 x^{4} + \cdots + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{23}]\) |
Coefficient ring index: | \( 2^{6} \) |
Twist minimal: | no (minimal twist has level 56) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 207.3 | ||
Root | \(-2.29733 - 1.90372i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 224.207 |
Dual form | 224.3.o.d.79.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(129\) | \(197\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0.824388 | − | 1.42788i | 0.274796 | − | 0.475961i | −0.695288 | − | 0.718732i | \(-0.744723\pi\) |
0.970084 | + | 0.242771i | \(0.0780563\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −3.95004 | + | 2.28056i | −0.790008 | + | 0.456111i | −0.839965 | − | 0.542640i | \(-0.817425\pi\) |
0.0499573 | + | 0.998751i | \(0.484091\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −6.75545 | − | 1.83408i | −0.965065 | − | 0.262011i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 3.14077 | + | 5.43997i | 0.348974 | + | 0.604441i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −6.18983 | + | 10.7211i | −0.562712 | + | 0.974645i | 0.434547 | + | 0.900649i | \(0.356909\pi\) |
−0.997259 | + | 0.0739960i | \(0.976425\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 18.3741i | 1.41340i | 0.707516 | + | 0.706698i | \(0.249816\pi\) | ||||
−0.707516 | + | 0.706698i | \(0.750184\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 7.52026i | 0.501350i | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 6.51422 | − | 11.2830i | 0.383189 | − | 0.663703i | −0.608327 | − | 0.793687i | \(-0.708159\pi\) |
0.991516 | + | 0.129983i | \(0.0414924\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.51262 | − | 2.61993i | −0.0796115 | − | 0.137891i | 0.823471 | − | 0.567359i | \(-0.192035\pi\) |
−0.903082 | + | 0.429467i | \(0.858701\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −8.18796 | + | 8.13400i | −0.389903 | + | 0.387333i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −26.2611 | + | 15.1619i | −1.14179 | + | 0.659211i | −0.946873 | − | 0.321609i | \(-0.895776\pi\) |
−0.194915 | + | 0.980820i | \(0.562443\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.09812 | + | 3.63405i | −0.0839248 | + | 0.145362i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 25.1958 | 0.933179 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | − | 22.7701i | − | 0.785176i | −0.919714 | − | 0.392588i | \(-0.871580\pi\) | ||
0.919714 | − | 0.392588i | \(-0.128420\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 19.5382 | + | 11.2804i | 0.630264 | + | 0.363883i | 0.780855 | − | 0.624713i | \(-0.214784\pi\) |
−0.150590 | + | 0.988596i | \(0.548117\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 10.2056 | + | 17.6767i | 0.309262 | + | 0.535657i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 30.8670 | − | 8.16151i | 0.881915 | − | 0.233186i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −11.9335 | + | 6.88983i | −0.322528 | + | 0.186212i | −0.652519 | − | 0.757772i | \(-0.726288\pi\) |
0.329991 | + | 0.943984i | \(0.392954\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 26.2361 | + | 15.1474i | 0.672721 | + | 0.388395i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −60.5026 | −1.47567 | −0.737837 | − | 0.674979i | \(-0.764153\pi\) | ||||
−0.737837 | + | 0.674979i | \(0.764153\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −39.0188 | −0.907414 | −0.453707 | − | 0.891151i | \(-0.649899\pi\) | ||||
−0.453707 | + | 0.891151i | \(0.649899\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −24.8123 | − | 14.3254i | −0.551385 | − | 0.318342i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −17.6115 | + | 10.1680i | −0.374713 | + | 0.216341i | −0.675516 | − | 0.737346i | \(-0.736079\pi\) |
0.300802 | + | 0.953686i | \(0.402746\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 42.2723 | + | 24.7801i | 0.862700 | + | 0.505716i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −10.7405 | − | 18.6031i | −0.210598 | − | 0.364766i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −4.12744 | − | 2.38298i | −0.0778762 | − | 0.0449619i | 0.460556 | − | 0.887631i | \(-0.347650\pi\) |
−0.538432 | + | 0.842669i | \(0.680983\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 56.4650i | − | 1.02664i | ||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −4.98794 | −0.0875077 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 5.86884 | − | 10.1651i | 0.0994718 | − | 0.172290i | −0.811994 | − | 0.583665i | \(-0.801618\pi\) |
0.911466 | + | 0.411375i | \(0.134951\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 94.3137 | − | 54.4520i | 1.54613 | − | 0.892656i | 0.547694 | − | 0.836679i | \(-0.315506\pi\) |
0.998432 | − | 0.0559779i | \(-0.0178276\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −11.2400 | − | 42.5099i | −0.178412 | − | 0.674760i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −41.9033 | − | 72.5786i | −0.644666 | − | 1.11659i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −39.5997 | + | 68.5887i | −0.591041 | + | 1.02371i | 0.403052 | + | 0.915177i | \(0.367949\pi\) |
−0.994093 | + | 0.108535i | \(0.965384\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 49.9970i | 0.724595i | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 12.9952i | − | 0.183031i | −0.995804 | − | 0.0915157i | \(-0.970829\pi\) | ||
0.995804 | − | 0.0915157i | \(-0.0291712\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 49.2909 | − | 85.3744i | 0.675218 | − | 1.16951i | −0.301187 | − | 0.953565i | \(-0.597383\pi\) |
0.976405 | − | 0.215947i | \(-0.0692839\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 3.45933 | + | 5.99173i | 0.0461244 | + | 0.0798898i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 61.4784 | − | 61.0732i | 0.798421 | − | 0.793159i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 113.644 | − | 65.6123i | 1.43853 | − | 0.830535i | 0.440781 | − | 0.897615i | \(-0.354701\pi\) |
0.997748 | + | 0.0670794i | \(0.0213681\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −7.49577 | + | 12.9831i | −0.0925404 | + | 0.160285i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −28.3732 | −0.341846 | −0.170923 | − | 0.985284i | \(-0.554675\pi\) | ||||
−0.170923 | + | 0.985284i | \(0.554675\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 59.4242i | 0.699108i | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −32.5130 | − | 18.7714i | −0.373713 | − | 0.215763i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 78.7090 | + | 136.328i | 0.884371 | + | 1.53178i | 0.846433 | + | 0.532495i | \(0.178746\pi\) |
0.0379380 | + | 0.999280i | \(0.487921\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 33.6996 | − | 124.126i | 0.370325 | − | 1.36402i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 32.2141 | − | 18.5988i | 0.346388 | − | 0.199987i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 11.9498 | + | 6.89923i | 0.125788 | + | 0.0726235i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −39.6175 | −0.408428 | −0.204214 | − | 0.978926i | \(-0.565464\pi\) | ||||
−0.204214 | + | 0.978926i | \(0.565464\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −77.7633 | −0.785488 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −37.7745 | − | 21.8091i | −0.374005 | − | 0.215932i | 0.301202 | − | 0.953560i | \(-0.402612\pi\) |
−0.675207 | + | 0.737628i | \(0.735946\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 54.4748 | − | 31.4510i | 0.528881 | − | 0.305350i | −0.211679 | − | 0.977339i | \(-0.567893\pi\) |
0.740561 | + | 0.671989i | \(0.234560\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 13.7927 | − | 50.8027i | 0.131359 | − | 0.483836i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 22.1133 | + | 38.3014i | 0.206667 | + | 0.357957i | 0.950663 | − | 0.310227i | \(-0.100405\pi\) |
−0.743996 | + | 0.668184i | \(0.767072\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −7.63419 | − | 4.40760i | −0.0700384 | − | 0.0404367i | 0.464572 | − | 0.885535i | \(-0.346208\pi\) |
−0.534610 | + | 0.845099i | \(0.679542\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 22.7196i | 0.204681i | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −121.408 | −1.07440 | −0.537202 | − | 0.843454i | \(-0.680519\pi\) | ||||
−0.537202 | + | 0.843454i | \(0.680519\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 69.1550 | − | 119.780i | 0.601347 | − | 1.04156i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −99.9548 | + | 57.7089i | −0.854314 | + | 0.493239i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −64.7003 | + | 64.2739i | −0.543700 | + | 0.540117i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −16.1279 | − | 27.9344i | −0.133289 | − | 0.230863i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −49.8776 | + | 86.3906i | −0.405509 | + | 0.702363i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | − | 133.167i | − | 1.06534i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 222.845i | 1.75468i | 0.479868 | + | 0.877341i | \(0.340685\pi\) | ||||
−0.479868 | + | 0.877341i | \(0.659315\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −32.1666 | + | 55.7143i | −0.249354 | + | 0.431893i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 118.527 | + | 205.294i | 0.904785 | + | 1.56713i | 0.821206 | + | 0.570632i | \(0.193302\pi\) |
0.0835786 | + | 0.996501i | \(0.473365\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 5.41327 | + | 20.4731i | 0.0407013 | + | 0.153933i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −99.5246 | + | 57.4605i | −0.737219 | + | 0.425634i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 4.83138 | − | 8.36820i | 0.0352656 | − | 0.0610818i | −0.847854 | − | 0.530230i | \(-0.822106\pi\) |
0.883119 | + | 0.469148i | \(0.155439\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 63.0621 | 0.453684 | 0.226842 | − | 0.973932i | \(-0.427160\pi\) | ||||
0.226842 | + | 0.973932i | \(0.427160\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 33.5296i | 0.237798i | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −196.991 | − | 113.733i | −1.37756 | − | 0.795334i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 51.9285 | + | 89.9428i | 0.358128 | + | 0.620295i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 70.2318 | − | 39.9315i | 0.477767 | − | 0.271643i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −233.751 | + | 134.956i | −1.56880 | + | 0.905746i | −0.572489 | + | 0.819912i | \(0.694022\pi\) |
−0.996309 | + | 0.0858343i | \(0.972644\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 93.6846 | + | 54.0888i | 0.620428 | + | 0.358204i | 0.777036 | − | 0.629457i | \(-0.216723\pi\) |
−0.156608 | + | 0.987661i | \(0.550056\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 81.8386 | 0.534893 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −102.902 | −0.663885 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 102.565 | + | 59.2159i | 0.653280 | + | 0.377171i | 0.789712 | − | 0.613478i | \(-0.210230\pi\) |
−0.136432 | + | 0.990649i | \(0.543563\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −6.80523 | + | 3.92900i | −0.0428002 | + | 0.0247107i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 205.214 | − | 54.2603i | 1.27462 | − | 0.337021i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −41.0142 | − | 71.0387i | −0.251621 | − | 0.435820i | 0.712351 | − | 0.701823i | \(-0.247630\pi\) |
−0.963972 | + | 0.266003i | \(0.914297\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −80.6254 | − | 46.5491i | −0.488639 | − | 0.282116i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 131.596i | 0.788002i | 0.919110 | + | 0.394001i | \(0.128909\pi\) | ||||
−0.919110 | + | 0.394001i | \(0.871091\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −168.609 | −0.997687 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 9.50157 | − | 16.4572i | 0.0555648 | − | 0.0962410i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 95.3611 | − | 55.0568i | 0.551220 | − | 0.318247i | −0.198394 | − | 0.980122i | \(-0.563572\pi\) |
0.749614 | + | 0.661875i | \(0.230239\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 20.8389 | − | 20.7015i | 0.119079 | − | 0.118295i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −9.67640 | − | 16.7600i | −0.0546689 | − | 0.0946893i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 76.9263 | − | 133.240i | 0.429756 | − | 0.744359i | −0.567095 | − | 0.823652i | \(-0.691933\pi\) |
0.996851 | + | 0.0792929i | \(0.0252662\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 227.511i | 1.25697i | 0.777823 | + | 0.628484i | \(0.216324\pi\) | ||||
−0.777823 | + | 0.628484i | \(0.783676\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | − | 179.558i | − | 0.981194i | ||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 31.4253 | − | 54.4303i | 0.169867 | − | 0.294218i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 80.6438 | + | 139.679i | 0.431250 | + | 0.746947i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −170.209 | − | 46.2111i | −0.900578 | − | 0.244503i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −105.262 | + | 60.7728i | −0.551107 | + | 0.318182i | −0.749569 | − | 0.661927i | \(-0.769739\pi\) |
0.198461 | + | 0.980109i | \(0.436406\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −42.7276 | + | 74.0064i | −0.221386 | + | 0.383453i | −0.955229 | − | 0.295867i | \(-0.904392\pi\) |
0.733843 | + | 0.679319i | \(0.237725\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −138.178 | −0.708606 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 214.100i | 1.08680i | 0.839474 | + | 0.543400i | \(0.182863\pi\) | ||||
−0.839474 | + | 0.543400i | \(0.817137\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 214.968 | + | 124.112i | 1.08024 | + | 0.623677i | 0.930961 | − | 0.365118i | \(-0.118971\pi\) |
0.149279 | + | 0.988795i | \(0.452305\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 65.2911 | + | 113.087i | 0.324831 | + | 0.562624i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −41.7621 | + | 153.822i | −0.205725 | + | 0.757746i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 238.988 | − | 137.980i | 1.16579 | − | 0.673071i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −164.960 | − | 95.2398i | −0.796909 | − | 0.460096i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 37.4514 | 0.179193 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −191.753 | −0.908783 | −0.454392 | − | 0.890802i | \(-0.650143\pi\) | ||||
−0.454392 | + | 0.890802i | \(0.650143\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −18.5557 | − | 10.7131i | −0.0871157 | − | 0.0502963i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 154.126 | − | 88.9846i | 0.716864 | − | 0.413882i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −111.300 | − | 112.039i | −0.512905 | − | 0.516307i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −81.2697 | − | 140.763i | −0.371095 | − | 0.642755i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 207.315 | + | 119.693i | 0.938075 | + | 0.541598i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | − | 41.2269i | − | 0.184874i | −0.995719 | − | 0.0924370i | \(-0.970534\pi\) | ||
0.995719 | − | 0.0924370i | \(-0.0294657\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −26.3588 | −0.117150 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 35.2219 | − | 61.0060i | 0.155162 | − | 0.268749i | −0.777956 | − | 0.628319i | \(-0.783743\pi\) |
0.933118 | + | 0.359570i | \(0.117077\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 81.8558 | − | 47.2595i | 0.357449 | − | 0.206373i | −0.310512 | − | 0.950569i | \(-0.600501\pi\) |
0.667961 | + | 0.744196i | \(0.267167\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −36.5233 | − | 138.132i | −0.158110 | − | 0.597974i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 68.1434 | + | 118.028i | 0.292461 | + | 0.506557i | 0.974391 | − | 0.224860i | \(-0.0721925\pi\) |
−0.681930 | + | 0.731417i | \(0.738859\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 46.3775 | − | 80.3281i | 0.197351 | − | 0.341822i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | − | 216.360i | − | 0.912911i | ||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | − | 173.230i | − | 0.724813i | −0.932020 | − | 0.362406i | \(-0.881955\pi\) | ||
0.932020 | − | 0.362406i | \(-0.118045\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 164.461 | − | 284.856i | 0.682413 | − | 1.18197i | −0.291830 | − | 0.956470i | \(-0.594264\pi\) |
0.974242 | − | 0.225503i | \(-0.0724027\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 125.740 | + | 217.788i | 0.517449 | + | 0.896248i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −223.490 | − | 1.47783i | −0.912203 | − | 0.00603196i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 48.1390 | − | 27.7931i | 0.194895 | − | 0.112523i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −23.3905 | + | 40.5136i | −0.0939379 | + | 0.162705i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −160.255 | −0.638466 | −0.319233 | − | 0.947676i | \(-0.603425\pi\) | ||||
−0.319233 | + | 0.947676i | \(0.603425\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | − | 375.397i | − | 1.48378i | ||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 84.8507 | + | 48.9886i | 0.332748 | + | 0.192112i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −72.7208 | − | 125.956i | −0.282960 | − | 0.490102i | 0.689152 | − | 0.724617i | \(-0.257983\pi\) |
−0.972113 | + | 0.234515i | \(0.924650\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 93.2530 | − | 24.6569i | 0.360050 | − | 0.0952004i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 123.869 | − | 71.5156i | 0.474593 | − | 0.274006i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −175.617 | − | 101.392i | −0.667745 | − | 0.385523i | 0.127477 | − | 0.991842i | \(-0.459312\pi\) |
−0.795222 | + | 0.606319i | \(0.792645\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 21.7381 | 0.0820305 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 259.547 | 0.972087 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −191.662 | − | 110.656i | −0.712497 | − | 0.411360i | 0.0994882 | − | 0.995039i | \(-0.468279\pi\) |
−0.811985 | + | 0.583679i | \(0.801613\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 101.651 | − | 58.6880i | 0.375095 | − | 0.216561i | −0.300587 | − | 0.953754i | \(-0.597183\pi\) |
0.675682 | + | 0.737193i | \(0.263849\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −149.455 | − | 150.447i | −0.547455 | − | 0.551087i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −25.9740 | − | 44.9883i | −0.0944509 | − | 0.163594i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 221.277 | + | 127.755i | 0.798835 | + | 0.461208i | 0.843064 | − | 0.537814i | \(-0.180750\pi\) |
−0.0442283 | + | 0.999021i | \(0.514083\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 141.716i | 0.507944i | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −278.004 | −0.989336 | −0.494668 | − | 0.869082i | \(-0.664710\pi\) | ||||
−0.494668 | + | 0.869082i | \(0.664710\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 28.3448 | − | 49.0947i | 0.100158 | − | 0.173479i | −0.811591 | − | 0.584225i | \(-0.801398\pi\) |
0.911750 | + | 0.410746i | \(0.134732\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 19.7026 | − | 11.3753i | 0.0691318 | − | 0.0399133i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 408.723 | + | 110.967i | 1.42412 | + | 0.386643i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 59.6300 | + | 103.282i | 0.206332 | + | 0.357378i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −32.6602 | + | 56.5691i | −0.112234 | + | 0.194396i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | − | 287.871i | − | 0.982493i | −0.871020 | − | 0.491247i | \(-0.836541\pi\) | ||
0.871020 | − | 0.491247i | \(-0.163459\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 53.5369i | 0.181481i | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −155.958 | + | 270.127i | −0.525111 | + | 0.909518i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −278.586 | − | 482.525i | −0.931726 | − | 1.61380i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 263.590 | + | 71.5635i | 0.875713 | + | 0.237753i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −62.2817 | + | 35.9584i | −0.205550 | + | 0.118675i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −248.362 | + | 430.176i | −0.814302 | + | 1.41041i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −53.6483 | −0.174750 | −0.0873750 | − | 0.996175i | \(-0.527848\pi\) | ||||
−0.0873750 | + | 0.996175i | \(0.527848\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | − | 103.711i | − | 0.335636i | ||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 91.0263 | + | 52.5541i | 0.292689 | + | 0.168984i | 0.639154 | − | 0.769079i | \(-0.279285\pi\) |
−0.346465 | + | 0.938063i | \(0.612618\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −105.245 | − | 182.290i | −0.336246 | − | 0.582395i | 0.647477 | − | 0.762085i | \(-0.275824\pi\) |
−0.983723 | + | 0.179690i | \(0.942491\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 141.345 | + | 142.282i | 0.448713 | + | 0.451690i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −54.4626 | + | 31.4440i | −0.171806 | + | 0.0991925i | −0.583437 | − | 0.812158i | \(-0.698293\pi\) |
0.411631 | + | 0.911351i | \(0.364959\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 244.120 | + | 140.943i | 0.765268 | + | 0.441828i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 72.9199 | 0.227165 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −39.4141 | −0.122025 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −66.7725 | − | 38.5511i | −0.205454 | − | 0.118619i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −12.5871 | + | 7.26715i | −0.0384926 | + | 0.0222237i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 137.623 | − | 36.3887i | 0.418306 | − | 0.110604i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 98.2893 | + | 170.242i | 0.296947 | + | 0.514327i | 0.975436 | − | 0.220284i | \(-0.0706983\pi\) |
−0.678489 | + | 0.734610i | \(0.737365\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −74.9610 | − | 43.2787i | −0.225108 | − | 0.129966i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | − | 361.238i | − | 1.07832i | ||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 591.516 | 1.75524 | 0.877620 | − | 0.479358i | \(-0.159130\pi\) | ||||
0.877620 | + | 0.479358i | \(0.159130\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −100.087 | + | 173.356i | −0.295242 | + | 0.511374i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −241.876 | + | 139.647i | −0.709314 | + | 0.409523i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −240.120 | − | 244.931i | −0.700059 | − | 0.714085i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −114.021 | − | 197.490i | −0.330496 | − | 0.572436i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 123.770 | − | 214.376i | 0.356685 | − | 0.617797i | −0.630719 | − | 0.776011i | \(-0.717240\pi\) |
0.987405 | + | 0.158214i | \(0.0505734\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 288.749i | 0.827362i | 0.910422 | + | 0.413681i | \(0.135757\pi\) | ||||
−0.910422 | + | 0.413681i | \(0.864243\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 462.952i | 1.31895i | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 0.634830 | − | 1.09956i | 0.00179839 | − | 0.00311490i | −0.865125 | − | 0.501557i | \(-0.832761\pi\) |
0.866923 | + | 0.498442i | \(0.166094\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 29.6364 | + | 51.3317i | 0.0834827 | + | 0.144596i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 38.4374 | + | 145.371i | 0.107668 | + | 0.407202i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −15.0707 | + | 8.70105i | −0.0419796 | + | 0.0242369i | −0.520843 | − | 0.853653i | \(-0.674382\pi\) |
0.478863 | + | 0.877889i | \(0.341049\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 175.924 | − | 304.709i | 0.487324 | − | 0.844070i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −53.1828 | −0.146509 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 449.643i | 1.23190i | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −459.021 | − | 265.016i | −1.25074 | − | 0.722115i | −0.279483 | − | 0.960151i | \(-0.590163\pi\) |
−0.971256 | + | 0.238036i | \(0.923496\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −190.025 | − | 329.132i | −0.514972 | − | 0.891958i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 23.5122 | + | 23.6682i | 0.0633751 | + | 0.0637956i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 102.722 | − | 59.3066i | 0.275394 | − | 0.158999i | −0.355942 | − | 0.934508i | \(-0.615840\pi\) |
0.631337 | + | 0.775509i | \(0.282507\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −190.147 | − | 109.782i | −0.507059 | − | 0.292751i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 418.381 | 1.10976 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 345.947 | 0.912790 | 0.456395 | − | 0.889777i | \(-0.349140\pi\) | ||||
0.456395 | + | 0.889777i | \(0.349140\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 318.196 | + | 183.710i | 0.835160 | + | 0.482180i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −350.630 | + | 202.436i | −0.915483 | + | 0.528555i | −0.882191 | − | 0.470891i | \(-0.843932\pi\) |
−0.0332920 | + | 0.999446i | \(0.510599\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −103.561 | + | 381.447i | −0.268990 | + | 0.990771i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −122.549 | − | 212.261i | −0.316664 | − | 0.548478i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −116.391 | − | 67.1985i | −0.299206 | − | 0.172747i | 0.342880 | − | 0.939379i | \(-0.388598\pi\) |
−0.642086 | + | 0.766632i | \(0.721931\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 395.070i | 1.01041i | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 390.848 | 0.994525 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −299.265 | + | 518.342i | −0.757633 | + | 1.31226i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −530.424 | + | 306.240i | −1.33608 | + | 0.771386i | −0.986224 | − | 0.165417i | \(-0.947103\pi\) |
−0.349857 | + | 0.936803i | \(0.613770\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 33.6958 | + | 9.14828i | 0.0844506 | + | 0.0229280i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 63.1234 | + | 109.333i | 0.157415 | + | 0.272651i | 0.933936 | − | 0.357441i | \(-0.116351\pi\) |
−0.776521 | + | 0.630092i | \(0.783017\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −207.267 | + | 358.998i | −0.514311 | + | 0.890813i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | − | 68.3781i | − | 0.168835i | ||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | − | 170.588i | − | 0.419134i | ||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −171.259 | + | 296.630i | −0.418727 | + | 0.725257i | −0.995812 | − | 0.0914275i | \(-0.970857\pi\) |
0.577084 | + | 0.816685i | \(0.304190\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −7.96587 | − | 13.7973i | −0.0193817 | − | 0.0335700i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −58.2903 | + | 57.9061i | −0.141139 | + | 0.140209i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 112.075 | − | 64.7068i | 0.270061 | − | 0.155920i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 51.9876 | − | 90.0452i | 0.124671 | − | 0.215936i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 376.392 | 0.898311 | 0.449155 | − | 0.893454i | \(-0.351725\pi\) | ||||
0.449155 | + | 0.893454i | \(0.351725\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 111.135i | 0.263978i | 0.991251 | + | 0.131989i | \(0.0421363\pi\) | ||||
−0.991251 | + | 0.131989i | \(0.957864\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −110.627 | − | 63.8708i | −0.261531 | − | 0.150995i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 27.3352 | + | 47.3460i | 0.0643181 | + | 0.111402i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −737.001 | + | 194.870i | −1.72600 | + | 0.456369i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −324.794 | + | 187.520i | −0.757096 | + | 0.437109i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −35.7481 | − | 20.6392i | −0.0829422 | − | 0.0478867i | 0.457955 | − | 0.888975i | \(-0.348582\pi\) |
−0.540898 | + | 0.841089i | \(0.681915\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −675.176 | −1.55930 | −0.779649 | − | 0.626217i | \(-0.784603\pi\) | ||||
−0.779649 | + | 0.626217i | \(0.784603\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 171.237 | 0.393648 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 79.4461 | + | 45.8682i | 0.181799 | + | 0.104962i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −459.215 | + | 265.128i | −1.04605 | + | 0.603936i | −0.921541 | − | 0.388282i | \(-0.873069\pi\) |
−0.124508 | + | 0.992219i | \(0.539735\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −2.03526 | + | 307.789i | −0.00461510 | + | 0.697933i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 166.016 | + | 287.549i | 0.374755 | + | 0.649094i | 0.990290 | − | 0.139015i | \(-0.0443935\pi\) |
−0.615535 | + | 0.788109i | \(0.711060\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −621.808 | − | 359.001i | −1.39732 | − | 0.806743i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 445.025i | 0.995582i | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −19.4200 | −0.0432517 | −0.0216259 | − | 0.999766i | \(-0.506884\pi\) | ||||
−0.0216259 | + | 0.999766i | \(0.506884\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 374.501 | − | 648.654i | 0.830379 | − | 1.43826i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 154.465 | − | 89.1804i | 0.340982 | − | 0.196866i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 149.961 | + | 567.155i | 0.329584 | + | 1.24650i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 88.9796 | + | 154.117i | 0.194704 | + | 0.337237i | 0.946803 | − | 0.321813i | \(-0.104292\pi\) |
−0.752100 | + | 0.659049i | \(0.770959\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 164.131 | − | 284.283i | 0.357584 | − | 0.619354i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 299.341i | 0.649329i | 0.945829 | + | 0.324664i | \(0.105251\pi\) | ||||
−0.945829 | + | 0.324664i | \(0.894749\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 505.213i | − | 1.09117i | −0.838055 | − | 0.545586i | \(-0.816307\pi\) | ||
0.838055 | − | 0.545586i | \(-0.183693\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −84.8314 | + | 146.932i | −0.182433 | + | 0.315983i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −325.162 | − | 563.197i | −0.696278 | − | 1.20599i | −0.969748 | − | 0.244108i | \(-0.921505\pi\) |
0.273470 | − | 0.961881i | \(-0.411829\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 393.311 | − | 390.719i | 0.838617 | − | 0.833089i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 169.107 | − | 97.6338i | 0.359037 | − | 0.207290i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 241.520 | − | 418.324i | 0.510612 | − | 0.884407i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 12.6946 | 0.0267255 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | − | 29.9375i | − | 0.0627621i | ||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 572.400 | + | 330.475i | 1.19499 | + | 0.689928i | 0.959434 | − | 0.281933i | \(-0.0909755\pi\) |
0.235556 | + | 0.971861i | \(0.424309\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −126.595 | − | 219.269i | −0.263191 | − | 0.455860i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 91.6985 | − | 337.753i | 0.189852 | − | 0.699281i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 156.491 | − | 90.3500i | 0.322661 | − | 0.186289i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 334.373 | + | 193.050i | 0.686597 | + | 0.396407i | 0.802336 | − | 0.596873i | \(-0.203590\pi\) |
−0.115739 | + | 0.993280i | \(0.536924\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −135.246 | −0.276578 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 898.359 | 1.82965 | 0.914826 | − | 0.403848i | \(-0.132328\pi\) | ||||
0.914826 | + | 0.403848i | \(0.132328\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −256.914 | − | 148.329i | −0.521124 | − | 0.300871i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 307.168 | − | 177.344i | 0.620542 | − | 0.358270i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −23.8343 | + | 87.7887i | −0.0479563 | + | 0.176637i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 395.588 | + | 685.178i | 0.792761 | + | 1.37310i | 0.924251 | + | 0.381785i | \(0.124691\pi\) |
−0.131490 | + | 0.991318i | \(0.541976\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 187.904 | + | 108.486i | 0.375058 | + | 0.216540i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | − | 798.990i | − | 1.58845i | −0.607624 | − | 0.794225i | \(-0.707877\pi\) | ||
0.607624 | − | 0.794225i | \(-0.292123\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 198.948 | 0.393956 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −138.999 | + | 240.754i | −0.274160 | + | 0.474860i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 477.272 | − | 275.553i | 0.937666 | − | 0.541362i | 0.0484379 | − | 0.998826i | \(-0.484576\pi\) |
0.889228 | + | 0.457465i | \(0.151242\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −489.566 | + | 486.339i | −0.958055 | + | 0.951741i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −38.1117 | − | 66.0114i | −0.0742918 | − | 0.128677i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −143.452 | + | 248.466i | −0.278547 | + | 0.482458i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | − | 251.753i | − | 0.486950i | ||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | − | 181.553i | − | 0.349812i | ||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −71.3914 | + | 123.654i | −0.137028 | + | 0.237339i | −0.926370 | − | 0.376614i | \(-0.877088\pi\) |
0.789343 | + | 0.613953i | \(0.210422\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −416.255 | − | 720.976i | −0.795900 | − | 1.37854i | −0.922266 | − | 0.386555i | \(-0.873665\pi\) |
0.126367 | − | 0.991984i | \(-0.459668\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −12.3800 | − | 46.8216i | −0.0235810 | − | 0.0891839i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 254.552 | − | 146.966i | 0.483021 | − | 0.278872i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 195.264 | − | 338.207i | 0.369119 | − | 0.639333i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 73.7306 | 0.138852 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | − | 1111.68i | − | 2.08571i | ||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −174.697 | − | 100.862i | −0.326537 | − | 0.188526i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −126.834 | − | 219.683i | −0.236191 | − | 0.409094i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −527.328 | + | 299.821i | −0.978345 | + | 0.556255i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −533.874 | + | 308.232i | −0.986829 | + | 0.569746i | −0.904325 | − | 0.426845i | \(-0.859625\pi\) |
−0.0825038 | + | 0.996591i | \(0.526292\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 324.859 | + | 187.557i | 0.598267 | + | 0.345410i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 40.2071 | 0.0737746 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −577.704 | −1.05613 | −0.528065 | − | 0.849204i | \(-0.677082\pi\) | ||||
−0.528065 | + | 0.849204i | \(0.677082\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 592.435 | + | 342.043i | 1.07912 | + | 0.623028i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −59.6562 | + | 34.4425i | −0.108269 | + | 0.0625091i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −888.053 | + | 234.809i | −1.60588 | + | 0.424610i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −51.8133 | − | 89.7433i | −0.0933573 | − | 0.161700i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 445.752 | + | 257.355i | 0.800273 | + | 0.462038i | 0.843566 | − | 0.537025i | \(-0.180452\pi\) |
−0.0432939 | + | 0.999062i | \(0.513785\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 716.937i | − | 1.28253i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 265.927 | 0.474023 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −304.360 | + | 527.166i | −0.540603 | + | 0.936352i | 0.458266 | + | 0.888815i | \(0.348471\pi\) |
−0.998869 | + | 0.0475374i | \(0.984863\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 479.565 | − | 276.877i | 0.848788 | − | 0.490048i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 74.4493 | − | 73.9586i | 0.131304 | − | 0.130438i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −93.1872 | − | 161.405i | −0.163774 | − | 0.283664i | 0.772445 | − | 0.635081i | \(-0.219033\pi\) |
−0.936219 | + | 0.351417i | \(0.885700\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 91.8878 | − | 159.154i | 0.160924 | − | 0.278729i | −0.774276 | − | 0.632848i | \(-0.781886\pi\) |
0.935200 | + | 0.354119i | \(0.115219\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 200.401i | 0.349741i | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | − | 127.246i | − | 0.221297i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −67.2281 | + | 116.442i | −0.116513 | + | 0.201807i | −0.918384 | − | 0.395691i | \(-0.870505\pi\) |
0.801870 | + | 0.597498i | \(0.203838\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 70.4482 | + | 122.020i | 0.121672 | + | 0.210743i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 191.674 | + | 52.0387i | 0.329904 | + | 0.0895675i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 51.0963 | − | 29.5005i | 0.0876437 | − | 0.0506011i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 263.217 | − | 455.905i | 0.449944 | − | 0.779325i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 921.405 | 1.56968 | 0.784842 | − | 0.619696i | \(-0.212744\pi\) | ||||
0.784842 | + | 0.619696i | \(0.212744\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | − | 68.2517i | − | 0.115877i | ||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 305.709 | + | 176.501i | 0.517274 | + | 0.298648i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −48.1873 | − | 83.4628i | −0.0812602 | − | 0.140747i | 0.822531 | − | 0.568720i | \(-0.192561\pi\) |
−0.903791 | + | 0.427973i | \(0.859228\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 108.989 | − | 401.437i | 0.183174 | − | 0.674684i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 354.434 | − | 204.632i | 0.593692 | − | 0.342768i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −144.711 | − | 83.5489i | −0.241587 | − | 0.139481i | 0.374319 | − | 0.927300i | \(-0.377877\pi\) |
−0.615906 | + | 0.787820i | \(0.711210\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 88.4635 | 0.147194 | 0.0735969 | − | 0.997288i | \(-0.476552\pi\) | ||||
0.0735969 | + | 0.997288i | \(0.476552\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −497.494 | −0.825032 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 127.412 | + | 73.5614i | 0.210598 | + | 0.121589i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 48.1243 | − | 27.7846i | 0.0792822 | − | 0.0457736i | −0.459835 | − | 0.888004i | \(-0.652091\pi\) |
0.539117 | + | 0.842231i | \(0.318758\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 185.212 | + | 186.441i | 0.304125 | + | 0.306142i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −186.829 | − | 323.597i | −0.305775 | − | 0.529618i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −752.678 | − | 434.559i | −1.22786 | − | 0.708905i | −0.261278 | − | 0.965264i | \(-0.584144\pi\) |
−0.966582 | + | 0.256359i | \(0.917477\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | − | 454.995i | − | 0.739829i | ||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −249.359 | −0.404147 | −0.202074 | − | 0.979370i | \(-0.564768\pi\) | ||||
−0.202074 | + | 0.979370i | \(0.564768\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −248.837 | + | 430.998i | −0.401998 | + | 0.696280i | −0.993967 | − | 0.109680i | \(-0.965017\pi\) |
0.591969 | + | 0.805961i | \(0.298351\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −661.671 | + | 382.016i | −1.06549 | + | 0.615162i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −281.679 | − | 1065.32i | −0.452133 | − | 1.70998i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 251.243 | + | 435.165i | 0.401988 | + | 0.696264i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 30.8745 | − | 53.4762i | 0.0492416 | − | 0.0852890i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 179.527i | 0.285417i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 172.763i | 0.273792i | 0.990585 | + | 0.136896i | \(0.0437126\pi\) | ||||
−0.990585 | + | 0.136896i | \(0.956287\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −158.079 | + | 273.801i | −0.249730 | + | 0.432545i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −508.210 | − | 880.245i | −0.800330 | − | 1.38621i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −455.312 | + | 776.717i | −0.714776 | + | 1.21934i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 70.6937 | − | 40.8150i | 0.110632 | − | 0.0638732i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 213.949 | − | 370.570i | 0.333774 | − | 0.578113i | −0.649475 | − | 0.760383i | \(-0.725011\pi\) |
0.983248 | + | 0.182270i | \(0.0583446\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 15.9463 | 0.0247998 | 0.0123999 | − | 0.999923i | \(-0.496053\pi\) | ||||
0.0123999 | + | 0.999923i | \(0.496053\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | − | 293.431i | − | 0.454932i | ||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 450.510 | + | 260.102i | 0.696306 | + | 0.402012i | 0.805970 | − | 0.591956i | \(-0.201644\pi\) |
−0.109664 | + | 0.993969i | \(0.534978\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 72.6542 | + | 125.841i | 0.111948 | + | 0.193899i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −251.733 | + | 66.5603i | −0.386686 | + | 0.102243i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 367.687 | − | 212.284i | 0.563074 | − | 0.325091i | −0.191305 | − | 0.981531i | \(-0.561272\pi\) |
0.754378 | + | 0.656440i | \(0.227939\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −936.371 | − | 540.614i | −1.42957 | − | 0.825365i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 619.246 | 0.942535 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −304.044 | −0.461372 | −0.230686 | − | 0.973028i | \(-0.574097\pi\) | ||||
−0.230686 | + | 0.973028i | \(0.574097\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −155.112 | − | 89.5542i | −0.234663 | − | 0.135483i | 0.378058 | − | 0.925782i | \(-0.376592\pi\) |
−0.612722 | + | 0.790299i | \(0.709925\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 341.815 | − | 197.347i | 0.515559 | − | 0.297658i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −68.0727 | − | 68.5243i | −0.102365 | − | 0.103044i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 345.237 | + | 597.968i | 0.517597 | + | 0.896504i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −58.8671 | − | 33.9870i | −0.0879927 | − | 0.0508026i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 1348.20i | 2.00923i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 544.352 | 0.808844 | 0.404422 | − | 0.914573i | \(-0.367473\pi\) | ||||
0.404422 | + | 0.914573i | \(0.367473\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −52.8639 | + | 91.5629i | −0.0783168 | + | 0.135649i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 471.416 | − | 272.172i | 0.696330 | − | 0.402027i | −0.109649 | − | 0.993970i | \(-0.534973\pi\) |
0.805979 | + | 0.591944i | \(0.201639\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 267.634 | + | 72.6616i | 0.394159 | + | 0.107013i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −58.0730 | − | 100.585i | −0.0852760 | − | 0.147702i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 443.494 | − | 768.154i | 0.649332 | − | 1.12468i | −0.333951 | − | 0.942591i | \(-0.608382\pi\) |
0.983283 | − | 0.182086i | \(-0.0582848\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 44.0730i | 0.0643401i | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | − | 155.841i | − | 0.226842i | ||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 43.7852 | − | 75.8382i | 0.0635489 | − | 0.110070i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 589.242 | + | 1020.60i | 0.852738 | + | 1.47698i | 0.878728 | + | 0.477323i | \(0.158393\pi\) |
−0.0259906 | + | 0.999662i | \(0.508274\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 525.326 | + | 142.624i | 0.758046 | + | 0.205807i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −249.098 | + | 143.817i | −0.358414 | + | 0.206930i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −394.127 | + | 682.648i | −0.565462 | + | 0.979409i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 224.706 | 0.321468 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 901.601i | 1.28616i | 0.765797 | + | 0.643082i | \(0.222345\pi\) | ||||
−0.765797 | + | 0.643082i | \(0.777655\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 36.1018 | + | 20.8434i | 0.0513539 | + | 0.0296492i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −76.4661 | − | 132.443i | −0.108463 | − | 0.187863i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 215.184 | + | 216.612i | 0.304363 | + | 0.306382i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 288.215 | − | 166.401i | 0.406510 | − | 0.234698i | −0.282779 | − | 0.959185i | \(-0.591256\pi\) |
0.689289 | + | 0.724487i | \(0.257923\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 713.858 | + | 412.146i | 1.00402 | + | 0.579671i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −684.126 | −0.959504 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 1037.50 | 1.45104 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −247.352 | − | 142.809i | −0.344982 | − | 0.199176i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −1026.20 | + | 592.475i | −1.42726 | + | 0.824027i | −0.996904 | − | 0.0786341i | \(-0.974944\pi\) |
−0.430353 | + | 0.902661i | \(0.641611\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −425.685 | + | 112.555i | −0.590410 | + | 0.156109i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −271.160 | − | 469.663i | −0.375049 | − | 0.649603i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 82.7477 | + | 47.7744i | 0.114135 | + | 0.0658957i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 19.9398i | − | 0.0274275i | −0.999906 | − | 0.0137138i | \(-0.995635\pi\) | ||
0.999906 | − | 0.0137138i | \(-0.00436536\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 279.711 | 0.383691 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −254.177 | + | 440.247i | −0.347711 | + | 0.602254i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −898.325 | + | 518.648i | −1.22555 | + | 0.707569i | −0.966095 | − | 0.258188i | \(-0.916875\pi\) |
−0.259450 | + | 0.965756i | \(0.583541\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −186.352 | + | 317.899i | −0.253541 | + | 0.432515i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −490.231 | − | 849.105i | −0.665171 | − | 1.15211i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −209.986 | + | 363.706i | −0.284148 | + | 0.492160i | −0.972402 | − | 0.233310i | \(-0.925044\pi\) |
0.688254 | + | 0.725470i | \(0.258378\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | − | 91.6491i | − | 0.123683i | ||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 1241.67i | 1.67116i | 0.549370 | + | 0.835579i | \(0.314868\pi\) | ||||
−0.549370 | + | 0.835579i | \(0.685132\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 615.551 | − | 1066.17i | 0.826243 | − | 1.43109i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −89.1137 | − | 154.349i | −0.119295 | − | 0.206626i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −79.1379 | − | 299.301i | −0.105658 | − | 0.399601i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −561.008 | + | 323.898i | −0.747015 | + | 0.431289i | −0.824614 | − | 0.565695i | \(-0.808608\pi\) |
0.0775992 | + | 0.996985i | \(0.475275\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −132.112 | + | 228.825i | −0.175448 | + | 0.303885i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −493.411 | −0.653524 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − | 105.310i | − | 0.139116i | −0.997578 | − | 0.0695578i | \(-0.977841\pi\) | ||
0.997578 | − | 0.0695578i | \(-0.0221588\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −536.023 | − | 309.473i | −0.706223 | − | 0.407738i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 210.942 | + | 365.362i | 0.277190 | + | 0.480108i | 0.970685 | − | 0.240354i | \(-0.0772634\pi\) |
−0.693495 | + | 0.720461i | \(0.743930\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 43.4885 | + | 43.7770i | 0.0569967 | + | 0.0573749i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −323.266 | + | 186.638i | −0.422570 | + | 0.243971i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 186.775 | + | 107.835i | 0.243514 | + | 0.140593i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −189.767 | −0.246772 | −0.123386 | − | 0.992359i | \(-0.539375\pi\) | ||||
−0.123386 | + | 0.992359i | \(0.539375\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −239.801 | −0.311025 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −729.875 | − | 421.394i | −0.944211 | − | 0.545141i | −0.0529334 | − | 0.998598i | \(-0.516857\pi\) |
−0.891278 | + | 0.453457i | \(0.850190\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −81.9870 | + | 47.3352i | −0.105790 | + | 0.0610777i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 41.6695 | − | 153.481i | 0.0536287 | − | 0.197530i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 91.5174 | + | 158.513i | 0.117481 | + | 0.203482i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 139.323 | + | 80.4382i | 0.178391 | + | 0.102994i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | − | 573.712i | − | 0.732710i | ||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −540.181 | −0.688128 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 747.098 | − | 1294.01i | 0.949298 | − | 1.64423i | 0.202391 | − | 0.979305i | \(-0.435129\pi\) |
0.746907 | − | 0.664928i | \(-0.231538\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −289.553 | + | 167.173i | −0.366987 | + | 0.211880i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 820.164 | + | 222.671i | 1.03687 | + | 0.281506i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 1000.51 | + | 1732.93i | 1.26168 | + | 2.18529i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 17.9206 | − | 31.0394i | 0.0225417 | − | 0.0390433i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 292.040i | 0.366424i | 0.983073 | + | 0.183212i | \(0.0586494\pi\) | ||||
−0.983073 | + | 0.183212i | \(0.941351\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 264.947i | 0.331598i | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −494.414 | + | 856.349i | −0.617245 | + | 1.06910i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 610.205 | + | 1056.91i | 0.759906 | + | 1.31620i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −686.859 | + | 682.332i | −0.853241 | + | 0.847617i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −316.007 | + | 182.447i | −0.391582 | + | 0.226080i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −78.4531 | + | 135.885i | −0.0969754 | + | 0.167966i | −0.910431 | − | 0.413660i | \(-0.864250\pi\) |
0.813456 | + | 0.581627i | \(0.197583\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −1183.00 | −1.45869 | −0.729347 | − | 0.684144i | \(-0.760176\pi\) | ||||
−0.729347 | + | 0.684144i | \(0.760176\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | − | 193.527i | − | 0.238040i | ||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 324.015 | + | 187.070i | 0.397565 | + | 0.229534i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 59.0206 | + | 102.227i | 0.0722406 | + | 0.125124i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 781.083 | − | 206.525i | 0.953703 | − | 0.252167i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −160.574 | + | 92.7074i | −0.195583 | + | 0.112920i | −0.594594 | − | 0.804026i | \(-0.702687\pi\) |
0.399010 | + | 0.916946i | \(0.369354\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −564.922 | − | 326.158i | −0.686418 | − | 0.396304i | 0.115850 | − | 0.993267i | \(-0.463041\pi\) |
−0.802269 | + | 0.596963i | \(0.796374\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −85.6506 | −0.103819 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 829.430 | 1.00294 | 0.501469 | − | 0.865176i | \(-0.332793\pi\) | ||||
0.501469 | + | 0.865176i | \(0.332793\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −653.961 | − | 377.565i | −0.788856 | − | 0.455446i | 0.0507039 | − | 0.998714i | \(-0.483854\pi\) |
−0.839560 | + | 0.543268i | \(0.817187\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 364.837 | − | 210.639i | 0.439034 | − | 0.253476i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 554.963 | − | 315.534i | 0.666222 | − | 0.378792i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −300.113 | − | 519.811i | −0.359417 | − | 0.622528i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 492.281 | + | 284.219i | 0.588150 | + | 0.339568i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 88.6147i | 0.105619i | 0.998605 | + | 0.0528097i | \(0.0168177\pi\) | ||||
−0.998605 | + | 0.0528097i | \(0.983182\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 322.522 | 0.383499 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −229.183 | + | 396.956i | −0.271866 | + | 0.470885i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 666.013 | − | 384.523i | 0.788181 | − | 0.455056i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 57.7177 | + | 218.290i | 0.0681437 | + | 0.257721i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −46.7343 | − | 80.9461i | −0.0550462 | − | 0.0953429i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 208.925 | − | 361.869i | 0.245506 | − | 0.425228i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | − | 367.466i | − | 0.430792i | −0.976527 | − | 0.215396i | \(-0.930896\pi\) | ||
0.976527 | − | 0.215396i | \(-0.0691042\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 86.6755i | 0.101375i | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 82.6698 | − | 143.188i | 0.0964642 | − | 0.167081i | −0.813755 | − | 0.581209i | \(-0.802580\pi\) |
0.910219 | + | 0.414128i | \(0.135913\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −325.486 | − | 563.758i | −0.378913 | − | 0.656296i | 0.611992 | − | 0.790864i | \(-0.290369\pi\) |
−0.990904 | + | 0.134568i | \(0.957035\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 495.393 | − | 492.128i | 0.575370 | − | 0.571577i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 118.417 | − | 68.3679i | 0.137215 | − | 0.0792212i | −0.429821 | − | 0.902914i | \(-0.641423\pi\) |
0.567036 | + | 0.823693i | \(0.308090\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −251.120 | + | 434.953i | −0.290312 | + | 0.502836i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 196.633 | 0.226797 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 1624.51i | 1.86941i | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −1260.26 | − | 727.611i | −1.44691 | − | 0.835374i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −124.429 | − | 215.518i | −0.142531 | − | 0.246871i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −244.239 | + | 899.606i | −0.279131 | + | 1.02812i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −152.855 | + | 88.2509i | −0.174293 | + | 0.100628i | −0.584609 | − | 0.811315i | \(-0.698752\pi\) |
0.410316 | + | 0.911944i | \(0.365419\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −411.045 | − | 237.317i | −0.467628 | − | 0.269985i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 734.879 | 0.834142 | 0.417071 | − | 0.908874i | \(-0.363057\pi\) | ||||
0.417071 | + | 0.908874i | \(0.363057\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −872.637 | −0.988264 | −0.494132 | − | 0.869387i | \(-0.664514\pi\) | ||||
−0.494132 | + | 0.869387i | \(0.664514\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 76.4443 | + | 44.1352i | 0.0863778 | + | 0.0498702i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 20.8696 | − | 12.0490i | 0.0235282 | − | 0.0135840i | −0.488190 | − | 0.872738i | \(-0.662343\pi\) |
0.511718 | + | 0.859153i | \(0.329009\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 408.714 | − | 1505.42i | 0.459746 | − | 1.69338i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −92.7951 | − | 160.726i | −0.104147 | − | 0.180388i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 53.2790 | + | 30.7607i | 0.0596630 | + | 0.0344464i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 701.740i | 0.784067i | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −918.652 | −1.02414 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 256.855 | − | 444.887i | 0.285712 | − | 0.494868i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −53.7741 | + | 31.0465i | −0.0596827 | + | 0.0344578i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 319.485 | − | 317.379i | 0.353803 | − | 0.351472i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −518.852 | − | 898.678i | −0.573317 | − | 0.993014i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −706.653 | + | 1223.96i | −0.779110 | + | 1.34946i | 0.153345 | + | 0.988173i | \(0.450995\pi\) |
−0.932455 | + | 0.361285i | \(0.882338\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | − | 273.990i | − | 0.301419i | ||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 1778.28i | − | 1.95201i | −0.217746 | − | 0.976005i | \(-0.569871\pi\) | ||
0.217746 | − | 0.976005i | \(-0.430129\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 175.625 | − | 304.192i | 0.192361 | − | 0.333179i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 409.493 | + | 709.263i | 0.447534 | + | 0.775151i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −424.176 | − | 1604.24i | −0.462569 | − | 1.74945i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 774.089 | − | 446.921i | 0.842317 | − | 0.486312i | −0.0157340 | − | 0.999876i | \(-0.505009\pi\) |
0.858051 | + | 0.513564i | \(0.171675\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −44.2270 | + | 76.6034i | −0.0480206 | + | 0.0831742i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 238.776 | 0.258696 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | − | 57.8228i | − | 0.0625111i | ||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 342.185 | + | 197.561i | 0.369132 | + | 0.213118i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 364.730 | + | 631.731i | 0.392605 | + | 0.680012i | 0.992792 | − | 0.119848i | \(-0.0382406\pi\) |
−0.600187 | + | 0.799859i | \(0.704907\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0.980197 | − | 148.233i | 0.00105284 | − | 0.159220i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 150.082 | − | 86.6499i | 0.160860 | − | 0.0928724i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −637.092 | − | 367.825i | −0.681382 | − | 0.393396i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 637.240 | 0.680085 | 0.340042 | − | 0.940410i | \(-0.389559\pi\) | ||||
0.340042 | + | 0.940410i | \(0.389559\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −347.051 | −0.369596 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 1518.64 | + | 876.787i | 1.61386 | + | 0.931761i | 0.988465 | + | 0.151451i | \(0.0483947\pi\) |
0.625393 | + | 0.780310i | \(0.284939\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 1588.87 | − | 917.332i | 1.68491 | − | 0.972780i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 777.721 | − | 205.636i | 0.822985 | − | 0.217604i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −436.996 | − | 756.900i | −0.461453 | − | 0.799261i | 0.537580 | − | 0.843213i | \(-0.319339\pi\) |
−0.999034 | + | 0.0439519i | \(0.986005\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 1568.68 | + | 905.679i | 1.65298 | + | 0.954351i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 103.688i | 0.109031i | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −880.208 | −0.923618 | −0.461809 | − | 0.886979i | \(-0.652800\pi\) | ||||
−0.461809 | + | 0.886979i | \(0.652800\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 277.191 | − | 480.110i | 0.290253 | − | 0.502733i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 402.500 | − | 232.383i | 0.420585 | − | 0.242825i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −47.9861 | + | 47.6699i | −0.0500377 | + | 0.0497079i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −226.006 | − | 391.454i | −0.235178 | − | 0.407340i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −138.906 | + | 240.592i | −0.144243 | + | 0.249836i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | − | 389.771i | − | 0.403908i | ||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 259.016i | − | 0.267855i | −0.990991 | − | 0.133928i | \(-0.957241\pi\) | ||
0.990991 | − | 0.133928i | \(-0.0427590\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −32.4925 | + | 56.2787i | −0.0335320 | + | 0.0580792i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −216.325 | − | 374.686i | −0.222786 | − | 0.385877i | 0.732867 | − | 0.680372i | \(-0.238182\pi\) |
−0.955653 | + | 0.294495i | \(0.904848\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −426.013 | − | 115.661i | −0.437835 | − | 0.118870i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −110.093 | + | 63.5622i | −0.112916 | + | 0.0651920i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −407.755 | + | 706.252i | −0.417354 | + | 0.722878i | −0.995672 | − | 0.0929330i | \(-0.970376\pi\) |
0.578319 | + | 0.815811i | \(0.303709\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −1948.78 | −1.99058 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | − | 55.3730i | − | 0.0564455i | ||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 120.735 | + | 69.7061i | 0.122822 | + | 0.0709116i | 0.560153 | − | 0.828389i | \(-0.310743\pi\) |
−0.437330 | + | 0.899301i | \(0.644076\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −488.267 | − | 845.702i | −0.495702 | − | 0.858581i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 61.4958 | − | 226.507i | 0.0623058 | − | 0.229491i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 1024.68 | − | 591.598i | 1.03607 | − | 0.598178i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 1341.28 | + | 774.390i | 1.35346 | + | 0.781423i | 0.988733 | − | 0.149690i | \(-0.0478276\pi\) |
0.364731 | + | 0.931113i | \(0.381161\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 324.114 | 0.326399 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −1132.18 | −1.13786 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 1110.67 | + | 641.248i | 1.11402 | + | 0.643178i | 0.939867 | − | 0.341541i | \(-0.110949\pi\) |
0.174150 | + | 0.984719i | \(0.444282\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −300.676 | + | 173.595i | −0.300977 | + | 0.173769i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 224.3.o.d.207.3 | 12 | ||
4.3 | odd | 2 | 56.3.k.d.11.4 | ✓ | 12 | ||
7.2 | even | 3 | inner | 224.3.o.d.79.4 | 12 | ||
7.3 | odd | 6 | 1568.3.g.l.687.4 | 6 | |||
7.4 | even | 3 | 1568.3.g.j.687.3 | 6 | |||
8.3 | odd | 2 | inner | 224.3.o.d.207.4 | 12 | ||
8.5 | even | 2 | 56.3.k.d.11.5 | yes | 12 | ||
28.3 | even | 6 | 392.3.g.i.99.1 | 6 | |||
28.11 | odd | 6 | 392.3.g.j.99.1 | 6 | |||
28.19 | even | 6 | 392.3.k.l.275.5 | 12 | |||
28.23 | odd | 6 | 56.3.k.d.51.5 | yes | 12 | ||
28.27 | even | 2 | 392.3.k.l.67.4 | 12 | |||
56.3 | even | 6 | 1568.3.g.l.687.3 | 6 | |||
56.5 | odd | 6 | 392.3.k.l.275.4 | 12 | |||
56.11 | odd | 6 | 1568.3.g.j.687.4 | 6 | |||
56.13 | odd | 2 | 392.3.k.l.67.5 | 12 | |||
56.37 | even | 6 | 56.3.k.d.51.4 | yes | 12 | ||
56.45 | odd | 6 | 392.3.g.i.99.2 | 6 | |||
56.51 | odd | 6 | inner | 224.3.o.d.79.3 | 12 | ||
56.53 | even | 6 | 392.3.g.j.99.2 | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
56.3.k.d.11.4 | ✓ | 12 | 4.3 | odd | 2 | ||
56.3.k.d.11.5 | yes | 12 | 8.5 | even | 2 | ||
56.3.k.d.51.4 | yes | 12 | 56.37 | even | 6 | ||
56.3.k.d.51.5 | yes | 12 | 28.23 | odd | 6 | ||
224.3.o.d.79.3 | 12 | 56.51 | odd | 6 | inner | ||
224.3.o.d.79.4 | 12 | 7.2 | even | 3 | inner | ||
224.3.o.d.207.3 | 12 | 1.1 | even | 1 | trivial | ||
224.3.o.d.207.4 | 12 | 8.3 | odd | 2 | inner | ||
392.3.g.i.99.1 | 6 | 28.3 | even | 6 | |||
392.3.g.i.99.2 | 6 | 56.45 | odd | 6 | |||
392.3.g.j.99.1 | 6 | 28.11 | odd | 6 | |||
392.3.g.j.99.2 | 6 | 56.53 | even | 6 | |||
392.3.k.l.67.4 | 12 | 28.27 | even | 2 | |||
392.3.k.l.67.5 | 12 | 56.13 | odd | 2 | |||
392.3.k.l.275.4 | 12 | 56.5 | odd | 6 | |||
392.3.k.l.275.5 | 12 | 28.19 | even | 6 | |||
1568.3.g.j.687.3 | 6 | 7.4 | even | 3 | |||
1568.3.g.j.687.4 | 6 | 56.11 | odd | 6 | |||
1568.3.g.l.687.3 | 6 | 56.3 | even | 6 | |||
1568.3.g.l.687.4 | 6 | 7.3 | odd | 6 |