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: | \( x^{12} + 2x^{10} - 12x^{9} + 12x^{8} - 12x^{7} + 148x^{6} - 48x^{5} + 192x^{4} - 768x^{3} + 512x^{2} + 4096 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
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 | 207.2 | ||
Root | \(0.0421483 - 1.99956i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 224.207 |
Dual form | 224.3.o.c.79.2 |
$q$-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 | ||||||||
\(3\) | −2.25274 | + | 3.90186i | −0.750913 | + | 1.30062i | 0.196467 | + | 0.980510i | \(0.437053\pi\) |
−0.947380 | + | 0.320110i | \(0.896280\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 6.07099 | − | 3.50509i | 1.21420 | − | 0.701018i | 0.250528 | − | 0.968109i | \(-0.419396\pi\) |
0.963671 | + | 0.267092i | \(0.0860626\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.51181 | − | 6.53382i | 0.358830 | − | 0.933403i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −5.64968 | − | 9.78553i | −0.627742 | − | 1.08728i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 7.90242 | − | 13.6874i | 0.718402 | − | 1.24431i | −0.243231 | − | 0.969968i | \(-0.578207\pi\) |
0.961633 | − | 0.274340i | \(-0.0884593\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.90039i | 0.223107i | 0.993758 | + | 0.111553i | \(0.0355826\pi\) | ||||
−0.993758 | + | 0.111553i | \(0.964417\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 31.5842i | 2.10562i | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 1.65516 | − | 2.86682i | 0.0973623 | − | 0.168636i | −0.813230 | − | 0.581943i | \(-0.802293\pi\) |
0.910592 | + | 0.413306i | \(0.135626\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 8.10854 | + | 14.0444i | 0.426765 | + | 0.739179i | 0.996583 | − | 0.0825915i | \(-0.0263197\pi\) |
−0.569818 | + | 0.821771i | \(0.692986\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 19.8356 | + | 24.5197i | 0.944553 | + | 1.16761i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 16.4804 | − | 9.51498i | 0.716540 | − | 0.413695i | −0.0969377 | − | 0.995290i | \(-0.530905\pi\) |
0.813478 | + | 0.581596i | \(0.197571\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 12.0713 | − | 20.9081i | 0.482852 | − | 0.836325i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 10.3597 | 0.383693 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 21.1392i | 0.728937i | 0.931216 | + | 0.364468i | \(0.118749\pi\) | ||||
−0.931216 | + | 0.364468i | \(0.881251\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 23.6995 | + | 13.6829i | 0.764499 | + | 0.441384i | 0.830909 | − | 0.556409i | \(-0.187821\pi\) |
−0.0664095 | + | 0.997792i | \(0.521154\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 35.6042 | + | 61.6683i | 1.07891 | + | 1.86874i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −7.65245 | − | 48.4709i | −0.218641 | − | 1.38488i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 15.2932 | − | 8.82951i | 0.413328 | − | 0.238635i | −0.278890 | − | 0.960323i | \(-0.589967\pi\) |
0.692219 | + | 0.721688i | \(0.256633\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −11.3169 | − | 6.53382i | −0.290177 | − | 0.167534i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 1.13482 | 0.0276785 | 0.0138392 | − | 0.999904i | \(-0.495595\pi\) | ||||
0.0138392 | + | 0.999904i | \(0.495595\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −50.2084 | −1.16764 | −0.583818 | − | 0.811884i | \(-0.698442\pi\) | ||||
−0.583818 | + | 0.811884i | \(0.698442\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −68.5983 | − | 39.6053i | −1.52441 | − | 0.880117i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −0.657646 | + | 0.379692i | −0.0139925 | + | 0.00807855i | −0.506980 | − | 0.861958i | \(-0.669238\pi\) |
0.492987 | + | 0.870036i | \(0.335905\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −36.3816 | − | 32.8234i | −0.742482 | − | 0.669866i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 7.45728 | + | 12.9164i | 0.146221 | + | 0.253263i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −38.9677 | − | 22.4980i | −0.735240 | − | 0.424491i | 0.0850958 | − | 0.996373i | \(-0.472880\pi\) |
−0.820336 | + | 0.571882i | \(0.806214\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 110.795i | − | 2.01445i | ||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −73.0658 | −1.28186 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 1.19239 | − | 2.06529i | 0.0202101 | − | 0.0350048i | −0.855743 | − | 0.517400i | \(-0.826900\pi\) |
0.875954 | + | 0.482395i | \(0.160233\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 86.1653 | − | 49.7476i | 1.41255 | − | 0.815534i | 0.416919 | − | 0.908944i | \(-0.363110\pi\) |
0.995628 | + | 0.0934097i | \(0.0297767\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −78.1278 | + | 12.3346i | −1.24012 | + | 0.195787i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 10.1661 | + | 17.6082i | 0.156402 | + | 0.270896i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −33.2440 | + | 57.5804i | −0.496180 | + | 0.859408i | −0.999990 | − | 0.00440572i | \(-0.998598\pi\) |
0.503811 | + | 0.863814i | \(0.331931\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 85.7391i | 1.24260i | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 44.4376i | 0.625882i | 0.949773 | + | 0.312941i | \(0.101314\pi\) | ||||
−0.949773 | + | 0.312941i | \(0.898686\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.859703 | + | 1.48905i | −0.0117768 | + | 0.0203979i | −0.871854 | − | 0.489766i | \(-0.837082\pi\) |
0.860077 | + | 0.510164i | \(0.170415\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 54.3870 | + | 94.2011i | 0.725161 | + | 1.25602i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −69.5816 | − | 86.0131i | −0.903657 | − | 1.11705i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −62.9171 | + | 36.3252i | −0.796418 | + | 0.459812i | −0.842217 | − | 0.539138i | \(-0.818750\pi\) |
0.0457989 | + | 0.998951i | \(0.485417\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 27.5094 | − | 47.6476i | 0.339622 | − | 0.588243i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 102.081 | 1.22990 | 0.614948 | − | 0.788568i | \(-0.289177\pi\) | ||||
0.614948 | + | 0.788568i | \(0.289177\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | − | 23.2059i | − | 0.273011i | ||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −82.4821 | − | 47.6211i | −0.948070 | − | 0.547369i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 30.6865 | + | 53.1505i | 0.344792 | + | 0.597197i | 0.985316 | − | 0.170741i | \(-0.0546162\pi\) |
−0.640524 | + | 0.767938i | \(0.721283\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 18.9506 | + | 7.28522i | 0.208249 | + | 0.0800574i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −106.778 | + | 61.6480i | −1.14815 | + | 0.662882i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 98.4538 | + | 56.8423i | 1.03636 | + | 0.598340i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −102.826 | −1.06006 | −0.530030 | − | 0.847979i | \(-0.677819\pi\) | ||||
−0.530030 | + | 0.847979i | \(0.677819\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −178.584 | −1.80388 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 157.651 | + | 91.0197i | 1.56090 | + | 0.901185i | 0.997166 | + | 0.0752264i | \(0.0239679\pi\) |
0.563731 | + | 0.825958i | \(0.309365\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 39.7104 | − | 22.9268i | 0.385538 | − | 0.222591i | −0.294687 | − | 0.955594i | \(-0.595215\pi\) |
0.680225 | + | 0.733003i | \(0.261882\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 206.366 | + | 79.3336i | 1.96539 | + | 0.755558i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −36.9463 | − | 63.9928i | −0.345292 | − | 0.598064i | 0.640115 | − | 0.768279i | \(-0.278887\pi\) |
−0.985407 | + | 0.170216i | \(0.945554\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −104.724 | − | 60.4622i | −0.960767 | − | 0.554699i | −0.0643577 | − | 0.997927i | \(-0.520500\pi\) |
−0.896409 | + | 0.443228i | \(0.853833\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 79.5623i | 0.716778i | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −97.7663 | −0.865188 | −0.432594 | − | 0.901589i | \(-0.642402\pi\) | ||||
−0.432594 | + | 0.901589i | \(0.642402\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 66.7017 | − | 115.531i | 0.580015 | − | 1.00462i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 28.3818 | − | 16.3863i | 0.242580 | − | 0.140053i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −14.5738 | − | 18.0154i | −0.122469 | − | 0.151390i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −64.3964 | − | 111.538i | −0.532202 | − | 0.921801i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −2.55645 | + | 4.42790i | −0.0207841 | + | 0.0359992i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 6.01041i | 0.0480833i | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 175.050i | − | 1.37835i | −0.724595 | − | 0.689175i | \(-0.757973\pi\) | ||
0.724595 | − | 0.689175i | \(-0.242027\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 113.106 | − | 195.906i | 0.876794 | − | 1.51865i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −4.30993 | − | 7.46501i | −0.0329002 | − | 0.0569848i | 0.849106 | − | 0.528222i | \(-0.177141\pi\) |
−0.882007 | + | 0.471237i | \(0.843808\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 112.131 | − | 17.7029i | 0.843088 | − | 0.133104i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 62.8937 | − | 36.3117i | 0.465879 | − | 0.268975i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −128.042 | + | 221.776i | −0.934615 | + | 1.61880i | −0.159295 | + | 0.987231i | \(0.550922\pi\) |
−0.775320 | + | 0.631569i | \(0.782411\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −218.834 | −1.57434 | −0.787171 | − | 0.616735i | \(-0.788455\pi\) | ||||
−0.787171 | + | 0.616735i | \(0.788455\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | − | 3.42139i | − | 0.0242652i | ||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 39.6987 | + | 22.9201i | 0.277614 | + | 0.160280i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 74.0947 | + | 128.336i | 0.510998 | + | 0.885074i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 210.031 | − | 68.0134i | 1.42878 | − | 0.462676i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −20.6792 | + | 11.9391i | −0.138786 | + | 0.0801284i | −0.567785 | − | 0.823177i | \(-0.692200\pi\) |
0.428999 | + | 0.903305i | \(0.358866\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 158.916 | + | 91.7504i | 1.05243 | + | 0.607619i | 0.923328 | − | 0.384013i | \(-0.125458\pi\) |
0.129099 | + | 0.991632i | \(0.458792\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −37.4044 | −0.244474 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 191.839 | 1.23767 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −143.703 | − | 82.9671i | −0.915307 | − | 0.528453i | −0.0331720 | − | 0.999450i | \(-0.510561\pi\) |
−0.882135 | + | 0.470997i | \(0.843894\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 175.568 | − | 101.364i | 1.10420 | − | 0.637512i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −20.7735 | − | 131.580i | −0.129028 | − | 0.817267i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −5.05216 | − | 8.75059i | −0.0309948 | − | 0.0536846i | 0.850112 | − | 0.526602i | \(-0.176534\pi\) |
−0.881107 | + | 0.472917i | \(0.843201\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 432.306 | + | 249.592i | 2.62003 | + | 1.51268i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 285.049i | 1.70688i | 0.521190 | + | 0.853441i | \(0.325488\pi\) | ||||
−0.521190 | + | 0.853441i | \(0.674512\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 160.588 | 0.950223 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 91.6213 | − | 158.693i | 0.535797 | − | 0.928028i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −84.3266 | + | 48.6860i | −0.487437 | + | 0.281422i | −0.723511 | − | 0.690313i | \(-0.757473\pi\) |
0.236074 | + | 0.971735i | \(0.424139\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −106.289 | − | 131.389i | −0.607366 | − | 0.750794i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 5.37230 | + | 9.30510i | 0.0303520 | + | 0.0525712i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −150.908 | + | 261.380i | −0.843061 | + | 1.46022i | 0.0442343 | + | 0.999021i | \(0.485915\pi\) |
−0.887295 | + | 0.461203i | \(0.847418\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 60.4535i | − | 0.333997i | −0.985957 | − | 0.166999i | \(-0.946592\pi\) | ||
0.985957 | − | 0.166999i | \(-0.0534076\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 448.273i | 2.44958i | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 61.8964 | − | 107.208i | 0.334575 | − | 0.579501i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −26.1595 | − | 45.3096i | −0.139890 | − | 0.242297i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 26.0216 | − | 67.6884i | 0.137680 | − | 0.358140i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 63.5769 | − | 36.7062i | 0.332864 | − | 0.192179i | −0.324248 | − | 0.945972i | \(-0.605111\pi\) |
0.657112 | + | 0.753793i | \(0.271778\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −32.5446 | + | 56.3690i | −0.168625 | + | 0.292067i | −0.937937 | − | 0.346807i | \(-0.887266\pi\) |
0.769312 | + | 0.638874i | \(0.220599\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −91.6065 | −0.469777 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 348.324i | 1.76814i | 0.467355 | + | 0.884070i | \(0.345207\pi\) | ||||
−0.467355 | + | 0.884070i | \(0.654793\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −225.265 | − | 130.057i | −1.13198 | − | 0.653551i | −0.187550 | − | 0.982255i | \(-0.560055\pi\) |
−0.944433 | + | 0.328704i | \(0.893388\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −149.780 | − | 259.427i | −0.745176 | − | 1.29068i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 138.120 | + | 53.0976i | 0.680392 | + | 0.261564i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 6.88946 | − | 3.97763i | 0.0336071 | − | 0.0194031i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −186.218 | − | 107.513i | −0.899605 | − | 0.519387i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 256.308 | 1.22636 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.73025 | −0.0224182 | −0.0112091 | − | 0.999937i | \(-0.503568\pi\) | ||||
−0.0112091 | + | 0.999937i | \(0.503568\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −173.390 | − | 100.106i | −0.814035 | − | 0.469983i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −304.815 | + | 175.985i | −1.41774 | + | 0.818534i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 148.930 | − | 120.479i | 0.686314 | − | 0.555204i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −3.87337 | − | 6.70888i | −0.0176866 | − | 0.0306342i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 8.31489 | + | 4.80060i | 0.0376239 | + | 0.0217222i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | − | 109.315i | − | 0.490200i | −0.969498 | − | 0.245100i | \(-0.921179\pi\) | ||
0.969498 | − | 0.245100i | \(-0.0788209\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −272.796 | −1.21243 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −60.7205 | + | 105.171i | −0.267491 | + | 0.463308i | −0.968213 | − | 0.250126i | \(-0.919528\pi\) |
0.700722 | + | 0.713434i | \(0.252861\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 124.878 | − | 72.0983i | 0.545319 | − | 0.314840i | −0.201913 | − | 0.979403i | \(-0.564716\pi\) |
0.747232 | + | 0.664564i | \(0.231383\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 492.360 | − | 77.7325i | 2.13143 | − | 0.336504i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −97.1309 | − | 168.236i | −0.416871 | − | 0.722042i | 0.578752 | − | 0.815504i | \(-0.303540\pi\) |
−0.995623 | + | 0.0934621i | \(0.970207\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −2.66171 | + | 4.61021i | −0.0113264 | + | 0.0196179i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | − | 327.325i | − | 1.38112i | ||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | − | 315.567i | − | 1.32036i | −0.751106 | − | 0.660181i | \(-0.770479\pi\) | ||
0.751106 | − | 0.660181i | \(-0.229521\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −181.356 | + | 314.117i | −0.752513 | + | 1.30339i | 0.194089 | + | 0.980984i | \(0.437825\pi\) |
−0.946601 | + | 0.322406i | \(0.895508\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 170.562 | + | 295.421i | 0.701900 | + | 1.21573i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −335.922 | − | 71.7499i | −1.37111 | − | 0.292857i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −40.7342 | + | 23.5179i | −0.164916 | + | 0.0952143i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −229.963 | + | 398.307i | −0.923545 | + | 1.59963i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 9.04237 | 0.0360254 | 0.0180127 | − | 0.999838i | \(-0.494266\pi\) | ||||
0.0180127 | + | 0.999838i | \(0.494266\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | − | 300.765i | − | 1.18880i | ||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 90.5463 | + | 52.2769i | 0.355083 | + | 0.205007i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 185.539 | + | 321.363i | 0.721942 | + | 1.25044i | 0.960221 | + | 0.279243i | \(0.0900834\pi\) |
−0.238279 | + | 0.971197i | \(0.576583\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −19.2769 | − | 122.101i | −0.0744283 | − | 0.471432i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 206.858 | − | 119.430i | 0.792559 | − | 0.457584i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −410.392 | − | 236.940i | −1.56043 | − | 0.900912i | −0.997214 | − | 0.0745993i | \(-0.976232\pi\) |
−0.563212 | − | 0.826313i | \(-0.690434\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −315.431 | −1.19030 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −276.515 | −1.03563 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −81.5026 | − | 47.0556i | −0.302984 | − | 0.174928i | 0.340799 | − | 0.940136i | \(-0.389303\pi\) |
−0.643782 | + | 0.765209i | \(0.722636\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 137.021 | − | 79.1093i | 0.505614 | − | 0.291916i | −0.225415 | − | 0.974263i | \(-0.572374\pi\) |
0.731029 | + | 0.682347i | \(0.239041\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −71.1167 | + | 57.5309i | −0.260501 | + | 0.210736i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −190.785 | − | 330.449i | −0.693764 | − | 1.20163i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −205.022 | − | 118.370i | −0.740153 | − | 0.427328i | 0.0819717 | − | 0.996635i | \(-0.473878\pi\) |
−0.822125 | + | 0.569307i | \(0.807212\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | − | 309.216i | − | 1.10830i | ||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 241.948 | 0.861025 | 0.430512 | − | 0.902585i | \(-0.358333\pi\) | ||||
0.430512 | + | 0.902585i | \(0.358333\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −116.737 | + | 202.194i | −0.412498 | + | 0.714468i | −0.995162 | − | 0.0982453i | \(-0.968677\pi\) |
0.582664 | + | 0.812713i | \(0.302010\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −443.582 | + | 256.102i | −1.55643 | + | 0.898604i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 2.85044 | − | 7.41469i | 0.00993186 | − | 0.0258351i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 139.021 | + | 240.791i | 0.481041 | + | 0.833188i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 231.640 | − | 401.212i | 0.796014 | − | 1.37874i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 216.492i | 0.738882i | 0.929254 | + | 0.369441i | \(0.120451\pi\) | ||||
−0.929254 | + | 0.369441i | \(0.879549\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | − | 16.7178i | − | 0.0566704i | ||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 81.8667 | − | 141.797i | 0.275645 | − | 0.477432i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 27.5971 | + | 47.7996i | 0.0922981 | + | 0.159865i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −126.114 | + | 328.053i | −0.418983 | + | 1.08988i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −710.292 | + | 410.087i | −2.34420 | + | 1.35342i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 348.739 | − | 604.034i | 1.14341 | − | 1.98044i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −173.487 | −0.565106 | −0.282553 | − | 0.959252i | \(-0.591181\pi\) | ||||
−0.282553 | + | 0.959252i | \(0.591181\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 206.593i | 0.668585i | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 100.205 | + | 57.8536i | 0.322204 | + | 0.186024i | 0.652374 | − | 0.757897i | \(-0.273773\pi\) |
−0.330171 | + | 0.943921i | \(0.607106\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −105.261 | − | 182.317i | −0.336297 | − | 0.582483i | 0.647436 | − | 0.762120i | \(-0.275841\pi\) |
−0.983733 | + | 0.179637i | \(0.942508\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −431.080 | + | 348.728i | −1.36851 | + | 1.10707i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 302.997 | − | 174.936i | 0.955828 | − | 0.551847i | 0.0609413 | − | 0.998141i | \(-0.480590\pi\) |
0.894886 | + | 0.446294i | \(0.147256\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 289.340 | + | 167.051i | 0.907022 | + | 0.523669i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 332.921 | 1.03714 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 53.6837 | 0.166203 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 60.6417 | + | 35.0115i | 0.186590 | + | 0.107728i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 471.830 | − | 272.411i | 1.44291 | − | 0.833062i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0.828958 | + | 5.25065i | 0.00251963 | + | 0.0159594i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 107.055 | + | 185.425i | 0.323430 | + | 0.560196i | 0.981193 | − | 0.193028i | \(-0.0618308\pi\) |
−0.657764 | + | 0.753224i | \(0.728497\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −172.803 | − | 99.7677i | −0.518927 | − | 0.299603i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 466.093i | 1.39132i | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −437.275 | −1.29755 | −0.648777 | − | 0.760979i | \(-0.724719\pi\) | ||||
−0.648777 | + | 0.760979i | \(0.724719\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 220.242 | − | 381.470i | 0.649682 | − | 1.12528i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 374.566 | − | 216.256i | 1.09844 | − | 0.634182i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −305.846 | + | 155.265i | −0.891680 | + | 0.452667i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 300.523 | + | 520.522i | 0.871082 | + | 1.50876i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 188.694 | − | 326.827i | 0.543786 | − | 0.941865i | −0.454896 | − | 0.890545i | \(-0.650324\pi\) |
0.998682 | − | 0.0513208i | \(-0.0163431\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 211.146i | 0.605003i | 0.953149 | + | 0.302502i | \(0.0978218\pi\) | ||||
−0.953149 | + | 0.302502i | \(0.902178\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 30.0472i | 0.0856044i | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −149.375 | + | 258.725i | −0.423159 | + | 0.732933i | −0.996247 | − | 0.0865610i | \(-0.972412\pi\) |
0.573087 | + | 0.819494i | \(0.305746\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 155.758 | + | 269.781i | 0.438755 | + | 0.759946i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 103.125 | − | 16.2810i | 0.288865 | − | 0.0456051i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 191.258 | − | 110.423i | 0.532751 | − | 0.307584i | −0.209385 | − | 0.977833i | \(-0.567146\pi\) |
0.742136 | + | 0.670249i | \(0.233813\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 49.0031 | − | 84.8758i | 0.135743 | − | 0.235113i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 580.274 | 1.59855 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 12.0533i | 0.0330229i | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 186.496 | + | 107.674i | 0.508165 | + | 0.293389i | 0.732079 | − | 0.681220i | \(-0.238550\pi\) |
−0.223914 | + | 0.974609i | \(0.571884\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −6.41135 | − | 11.1048i | −0.0173749 | − | 0.0300943i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −244.878 | + | 198.097i | −0.660048 | + | 0.533955i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −193.884 | + | 111.939i | −0.519796 | + | 0.300104i | −0.736851 | − | 0.676055i | \(-0.763688\pi\) |
0.217055 | + | 0.976159i | \(0.430355\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −23.4518 | − | 13.5399i | −0.0625381 | − | 0.0361064i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −61.3118 | −0.162631 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 507.051 | 1.33787 | 0.668933 | − | 0.743323i | \(-0.266751\pi\) | ||||
0.668933 | + | 0.743323i | \(0.266751\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 683.023 | + | 394.343i | 1.79271 | + | 1.03502i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 128.681 | − | 74.2939i | 0.335981 | − | 0.193979i | −0.322512 | − | 0.946565i | \(-0.604527\pi\) |
0.658493 | + | 0.752586i | \(0.271194\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −723.913 | − | 278.295i | −1.88029 | − | 0.722845i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 283.661 | + | 491.316i | 0.732975 | + | 1.26955i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 137.107 | + | 79.1586i | 0.352459 | + | 0.203493i | 0.665768 | − | 0.746159i | \(-0.268104\pi\) |
−0.313309 | + | 0.949651i | \(0.601437\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 62.9952i | − | 0.161113i | ||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 38.8366 | 0.0988208 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −254.646 | + | 441.060i | −0.644673 | + | 1.11661i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 240.531 | − | 138.871i | 0.605872 | − | 0.349801i | −0.165476 | − | 0.986214i | \(-0.552916\pi\) |
0.771348 | + | 0.636413i | \(0.219583\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −183.527 | + | 477.399i | −0.459968 | + | 1.19649i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −311.899 | − | 540.225i | −0.777803 | − | 1.34719i | −0.933205 | − | 0.359344i | \(-0.883001\pi\) |
0.155402 | − | 0.987851i | \(-0.450333\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −39.6857 | + | 68.7377i | −0.0984757 | + | 0.170565i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | − | 385.691i | − | 0.952324i | ||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | − | 279.098i | − | 0.685744i | ||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 247.569 | − | 428.801i | 0.605302 | − | 1.04841i | −0.386701 | − | 0.922205i | \(-0.626386\pi\) |
0.992004 | − | 0.126209i | \(-0.0402810\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −576.892 | − | 999.206i | −1.40363 | − | 2.43116i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −10.4991 | − | 12.9785i | −0.0254217 | − | 0.0314249i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 619.735 | − | 357.804i | 1.49334 | − | 0.862179i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 492.975 | − | 853.858i | 1.18219 | − | 2.04762i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −112.631 | −0.268810 | −0.134405 | − | 0.990927i | \(-0.542912\pi\) | ||||
−0.134405 | + | 0.990927i | \(0.542912\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 821.936i | − | 1.95234i | −0.217003 | − | 0.976171i | \(-0.569628\pi\) | ||
0.217003 | − | 0.976171i | \(-0.430372\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 7.43097 | + | 4.29027i | 0.0175673 | + | 0.0101425i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −39.9599 | − | 69.2125i | −0.0940232 | − | 0.162853i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −108.611 | − | 687.945i | −0.254358 | − | 1.61111i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −178.862 | + | 103.266i | −0.416928 | + | 0.240713i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −289.087 | − | 166.904i | −0.670735 | − | 0.387249i | 0.125620 | − | 0.992078i | \(-0.459908\pi\) |
−0.796355 | + | 0.604830i | \(0.793241\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 604.681 | 1.39649 | 0.698246 | − | 0.715858i | \(-0.253964\pi\) | ||||
0.698246 | + | 0.715858i | \(0.253964\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −667.664 | −1.53486 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 267.265 | + | 154.305i | 0.611589 | + | 0.353101i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −416.657 | + | 240.557i | −0.949105 | + | 0.547966i | −0.892803 | − | 0.450448i | \(-0.851264\pi\) |
−0.0563019 | + | 0.998414i | \(0.517931\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −115.650 | + | 541.455i | −0.262245 | + | 1.22779i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 92.3599 | + | 159.972i | 0.208487 | + | 0.361111i | 0.951238 | − | 0.308457i | \(-0.0998127\pi\) |
−0.742751 | + | 0.669568i | \(0.766479\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 372.595 | + | 215.118i | 0.837291 | + | 0.483410i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | − | 107.583i | − | 0.240678i | ||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 115.894 | 0.258115 | 0.129057 | − | 0.991637i | \(-0.458805\pi\) | ||||
0.129057 | + | 0.991637i | \(0.458805\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 8.96779 | − | 15.5327i | 0.0198842 | − | 0.0344405i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −715.995 | + | 413.380i | −1.58056 | + | 0.912538i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 140.584 | − | 22.1951i | 0.308977 | − | 0.0487804i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 79.2311 | + | 137.232i | 0.173372 | + | 0.300290i | 0.939597 | − | 0.342283i | \(-0.111200\pi\) |
−0.766224 | + | 0.642573i | \(0.777867\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 17.1470 | − | 29.6994i | 0.0373572 | − | 0.0647046i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | − | 42.3829i | − | 0.0919368i | −0.998943 | − | 0.0459684i | \(-0.985363\pi\) | ||
0.998943 | − | 0.0459684i | \(-0.0146374\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 390.038i | 0.842416i | 0.906964 | + | 0.421208i | \(0.138394\pi\) | ||||
−0.906964 | + | 0.421208i | \(0.861606\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −432.164 | + | 748.530i | −0.929385 | + | 1.60974i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 19.1723 | + | 33.2074i | 0.0410541 | + | 0.0711078i | 0.885822 | − | 0.464025i | \(-0.153595\pi\) |
−0.844768 | + | 0.535132i | \(0.820262\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 292.717 | + | 361.841i | 0.624130 | + | 0.771517i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 647.452 | − | 373.807i | 1.37463 | − | 0.793644i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −396.768 | + | 687.222i | −0.838832 | + | 1.45290i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 391.523 | 0.824259 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 508.427i | 1.06588i | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 561.326 | + | 324.082i | 1.17187 | + | 0.676580i | 0.954120 | − | 0.299424i | \(-0.0967945\pi\) |
0.217751 | + | 0.976004i | \(0.430128\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 25.6090 | + | 44.3561i | 0.0532412 | + | 0.0922164i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 560.204 | + | 215.360i | 1.15984 | + | 0.445881i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −624.255 | + | 360.414i | −1.28712 | + | 0.743121i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 303.304 | + | 175.113i | 0.622800 | + | 0.359574i | 0.777959 | − | 0.628316i | \(-0.216255\pi\) |
−0.155158 | + | 0.987890i | \(0.549589\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 45.5248 | 0.0930977 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 453.547 | 0.923722 | 0.461861 | − | 0.886952i | \(-0.347182\pi\) | ||||
0.461861 | + | 0.886952i | \(0.347182\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 60.6022 | + | 34.9887i | 0.122925 | + | 0.0709710i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −1084.19 | + | 625.955i | −2.19027 | + | 1.26455i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 290.348 | + | 111.619i | 0.584200 | + | 0.224585i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −264.783 | − | 458.617i | −0.530626 | − | 0.919072i | −0.999361 | − | 0.0357329i | \(-0.988623\pi\) |
0.468735 | − | 0.883339i | \(-0.344710\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −1112.22 | − | 642.142i | −2.22000 | − | 1.28172i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | − | 321.597i | − | 0.639358i | −0.947526 | − | 0.319679i | \(-0.896425\pi\) | ||
0.947526 | − | 0.319679i | \(-0.103575\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 1276.13 | 2.52699 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −361.762 | + | 626.591i | −0.713536 | + | 1.23588i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 623.464 | − | 359.957i | 1.22488 | − | 0.707185i | 0.258926 | − | 0.965897i | \(-0.416631\pi\) |
0.965954 | + | 0.258712i | \(0.0832981\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 7.56977 | + | 9.35735i | 0.0148136 | + | 0.0183118i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 84.0021 | + | 145.496i | 0.163747 | + | 0.283618i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 160.721 | − | 278.377i | 0.312080 | − | 0.540538i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 12.0019i | 0.0232146i | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | − | 438.708i | − | 0.845294i | ||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −206.990 | + | 358.517i | −0.397294 | + | 0.688133i | −0.993391 | − | 0.114779i | \(-0.963384\pi\) |
0.596097 | + | 0.802912i | \(0.296717\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −174.324 | − | 301.938i | −0.333316 | − | 0.577320i | 0.649844 | − | 0.760068i | \(-0.274834\pi\) |
−0.983160 | + | 0.182747i | \(0.941501\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 752.103 | − | 118.740i | 1.43258 | − | 0.226171i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 78.4528 | − | 45.2947i | 0.148867 | − | 0.0859483i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −83.4303 | + | 144.506i | −0.157713 | + | 0.273167i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −26.9466 | −0.0507468 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 3.29141i | 0.00617525i | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −448.601 | − | 259.000i | −0.838507 | − | 0.484112i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −679.912 | − | 1177.64i | −1.26613 | − | 2.19300i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −736.770 | + | 238.585i | −1.36692 | + | 0.442644i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −202.840 | + | 117.110i | −0.374936 | + | 0.216469i | −0.675613 | − | 0.737257i | \(-0.736121\pi\) |
0.300677 | + | 0.953726i | \(0.402787\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 235.881 | + | 136.186i | 0.434404 | + | 0.250803i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −847.701 | −1.55542 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 577.082 | 1.05499 | 0.527497 | − | 0.849557i | \(-0.323130\pi\) | ||||
0.527497 | + | 0.849557i | \(0.323130\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −973.613 | − | 562.116i | −1.77343 | − | 1.02389i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −296.887 | + | 171.408i | −0.538815 | + | 0.311085i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 79.3065 | + | 502.331i | 0.143411 | + | 0.908374i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 278.873 | + | 483.022i | 0.502474 | + | 0.870311i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 36.7252 | + | 21.2033i | 0.0659339 | + | 0.0380670i | 0.532605 | − | 0.846364i | \(-0.321213\pi\) |
−0.466671 | + | 0.884431i | \(0.654547\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 145.624i | − | 0.260508i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 235.722 | 0.420182 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −123.648 | + | 214.165i | −0.219624 | + | 0.380399i | −0.954693 | − | 0.297593i | \(-0.903816\pi\) |
0.735069 | + | 0.677992i | \(0.237150\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −593.539 | + | 342.680i | −1.05051 | + | 0.606513i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −242.223 | − | 299.423i | −0.427201 | − | 0.528083i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −312.737 | − | 541.677i | −0.549626 | − | 0.951980i | −0.998300 | − | 0.0582847i | \(-0.981437\pi\) |
0.448674 | − | 0.893696i | \(-0.351896\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −291.287 | + | 504.524i | −0.510135 | + | 0.883579i | 0.489796 | + | 0.871837i | \(0.337071\pi\) |
−0.999931 | + | 0.0117423i | \(0.996262\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 330.758i | 0.577239i | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | − | 459.433i | − | 0.799014i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 198.380 | − | 343.605i | 0.343814 | − | 0.595503i | −0.641324 | − | 0.767270i | \(-0.721615\pi\) |
0.985137 | + | 0.171768i | \(0.0549478\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −146.629 | − | 253.969i | −0.253246 | − | 0.438634i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 256.409 | − | 666.981i | 0.441324 | − | 1.14799i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −615.879 | + | 355.578i | −1.05640 | + | 0.609910i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 114.871 | − | 198.962i | 0.196360 | − | 0.340106i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −355.763 | −0.606070 | −0.303035 | − | 0.952979i | \(-0.598000\pi\) | ||||
−0.303035 | + | 0.952979i | \(0.598000\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 443.794i | 0.753470i | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −1359.11 | − | 784.682i | −2.29968 | − | 1.32772i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 89.8611 | + | 155.644i | 0.151536 | + | 0.262469i | 0.931792 | − | 0.362991i | \(-0.118245\pi\) |
−0.780256 | + | 0.625460i | \(0.784911\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −151.623 | − | 58.2888i | −0.254829 | − | 0.0979644i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 1014.93 | − | 585.967i | 1.70004 | − | 0.981520i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −35.2310 | − | 20.3406i | −0.0588163 | − | 0.0339576i | 0.470303 | − | 0.882505i | \(-0.344144\pi\) |
−0.529120 | + | 0.848547i | \(0.677478\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −1020.79 | −1.69849 | −0.849245 | − | 0.527998i | \(-0.822943\pi\) | ||||
−0.849245 | + | 0.527998i | \(0.822943\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 751.272 | 1.24589 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −781.901 | − | 451.431i | −1.29240 | − | 0.746166i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 273.220 | − | 157.744i | 0.450116 | − | 0.259874i | −0.257763 | − | 0.966208i | \(-0.582986\pi\) |
0.707879 | + | 0.706334i | \(0.249652\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −518.327 | + | 419.308i | −0.851111 | + | 0.688519i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −1.10125 | − | 1.90743i | −0.00180238 | − | 0.00312181i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −358.417 | − | 206.932i | −0.584693 | − | 0.337572i | 0.178303 | − | 0.983976i | \(-0.442939\pi\) |
−0.762996 | + | 0.646403i | \(0.776272\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 35.8423i | 0.0582802i | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 139.167 | 0.225554 | 0.112777 | − | 0.993620i | \(-0.464025\pi\) | ||||
0.112777 | + | 0.993620i | \(0.464025\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 167.006 | − | 289.264i | 0.269800 | − | 0.467308i | −0.699010 | − | 0.715112i | \(-0.746376\pi\) |
0.968810 | + | 0.247804i | \(0.0797090\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 170.732 | − | 98.5724i | 0.274931 | − | 0.158732i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 424.354 | − | 66.9959i | 0.681147 | − | 0.107538i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 322.850 | + | 559.192i | 0.516560 | + | 0.894707i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −577.396 | + | 1000.08i | −0.920887 | + | 1.59502i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | − | 58.4569i | − | 0.0929363i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 284.343i | 0.450623i | 0.974287 | + | 0.225311i | \(0.0723399\pi\) | ||||
−0.974287 | + | 0.225311i | \(0.927660\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 10.6560 | − | 18.4568i | 0.0168342 | − | 0.0291576i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −613.568 | − | 1062.73i | −0.966248 | − | 1.67359i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 95.2007 | − | 105.521i | 0.149452 | − | 0.165653i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 434.846 | − | 251.058i | 0.680510 | − | 0.392893i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −32.4545 | + | 56.2128i | −0.0506310 | + | 0.0876955i | −0.890230 | − | 0.455511i | \(-0.849457\pi\) |
0.839599 | + | 0.543206i | \(0.182790\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −683.365 | −1.06278 | −0.531388 | − | 0.847128i | \(-0.678329\pi\) | ||||
−0.531388 | + | 0.847128i | \(0.678329\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | − | 1585.79i | − | 2.45859i | ||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 1103.61 | + | 637.171i | 1.70574 | + | 0.984808i | 0.939691 | + | 0.342024i | \(0.111112\pi\) |
0.766047 | + | 0.642785i | \(0.222221\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −18.8456 | − | 32.6415i | −0.0290379 | − | 0.0502951i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 134.592 | + | 852.514i | 0.206747 | + | 1.30954i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 472.891 | − | 273.024i | 0.724182 | − | 0.418107i | −0.0921079 | − | 0.995749i | \(-0.529360\pi\) |
0.816290 | + | 0.577642i | \(0.196027\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −52.3311 | − | 30.2134i | −0.0798948 | − | 0.0461273i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 19.4282 | 0.0295710 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 398.883 | 0.605285 | 0.302642 | − | 0.953104i | \(-0.402131\pi\) | ||||
0.302642 | + | 0.953104i | \(0.402131\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 718.146 | + | 414.622i | 1.08645 | + | 0.627264i | 0.932630 | − | 0.360834i | \(-0.117508\pi\) |
0.153824 | + | 0.988098i | \(0.450841\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −37.4626 | + | 21.6290i | −0.0565046 | + | 0.0326230i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 618.695 | − | 500.502i | 0.930368 | − | 0.752635i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 201.139 | + | 348.383i | 0.301557 | + | 0.522313i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 426.531 | + | 246.258i | 0.637565 | + | 0.368098i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | − | 1572.50i | − | 2.34352i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 946.218 | 1.40597 | 0.702985 | − | 0.711205i | \(-0.251850\pi\) | ||||
0.702985 | + | 0.711205i | \(0.251850\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 125.055 | − | 216.602i | 0.185267 | − | 0.320892i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −987.793 | + | 570.303i | −1.45907 | + | 0.842397i | −0.998966 | − | 0.0454660i | \(-0.985523\pi\) |
−0.460108 | + | 0.887863i | \(0.652189\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −258.279 | + | 671.846i | −0.380381 | + | 0.989463i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −273.575 | − | 473.846i | −0.401725 | − | 0.695809i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 58.7041 | − | 101.678i | 0.0859504 | − | 0.148870i | −0.819845 | − | 0.572585i | \(-0.805941\pi\) |
0.905796 | + | 0.423715i | \(0.139274\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1795.20i | 2.62073i | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 649.675i | 0.945670i | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 65.2530 | − | 113.022i | 0.0947069 | − | 0.164037i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 477.961 | + | 827.853i | 0.691695 | + | 1.19805i | 0.971282 | + | 0.237930i | \(0.0764690\pi\) |
−0.279588 | + | 0.960120i | \(0.590198\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −448.570 | + | 1166.84i | −0.647287 | + | 1.68375i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −1328.54 | + | 767.031i | −1.91156 | + | 1.10364i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 1.87830 | − | 3.25331i | 0.00269484 | − | 0.00466759i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 875.243 | 1.25214 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 824.950i | − | 1.17682i | −0.808563 | − | 0.588410i | \(-0.799754\pi\) | ||
0.808563 | − | 0.588410i | \(-0.200246\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 248.010 | + | 143.189i | 0.352789 | + | 0.203683i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −11.9923 | − | 20.7712i | −0.0170103 | − | 0.0294627i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 990.695 | − | 801.437i | 1.40127 | − | 1.13357i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 112.576 | − | 64.9959i | 0.158782 | − | 0.0916726i | −0.418504 | − | 0.908215i | \(-0.637445\pi\) |
0.577285 | + | 0.816542i | \(0.304112\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 710.922 | + | 410.451i | 0.999890 | + | 0.577287i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 520.770 | 0.730393 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 321.348 | 0.449437 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 1231.30 | + | 710.890i | 1.71729 | + | 0.991478i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −438.623 | + | 253.239i | −0.610046 | + | 0.352210i | −0.772984 | − | 0.634426i | \(-0.781237\pi\) |
0.162937 | + | 0.986636i | \(0.447903\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −50.0547 | − | 317.049i | −0.0694240 | − | 0.439735i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −817.094 | − | 1415.25i | −1.13014 | − | 1.95747i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 441.980 | + | 255.177i | 0.609628 | + | 0.351969i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 1272.41i | 1.75022i | 0.483924 | + | 0.875110i | \(0.339211\pi\) | ||||
−0.483924 | + | 0.875110i | \(0.660789\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −1041.76 | −1.42902 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −83.1028 | + | 143.938i | −0.113684 | + | 0.196906i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −615.475 | + | 355.345i | −0.839666 | + | 0.484781i | −0.857151 | − | 0.515066i | \(-0.827767\pi\) |
0.0174847 | + | 0.999847i | \(0.494434\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 1036.70 | − | 1149.09i | 1.41048 | − | 1.56338i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 525.417 | + | 910.048i | 0.712913 | + | 1.23480i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −105.509 | + | 182.748i | −0.142773 | + | 0.247291i | −0.928540 | − | 0.371232i | \(-0.878935\pi\) |
0.785767 | + | 0.618523i | \(0.212269\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | − | 211.919i | − | 0.285991i | ||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | − | 244.355i | − | 0.328876i | −0.986387 | − | 0.164438i | \(-0.947419\pi\) | ||
0.986387 | − | 0.164438i | \(-0.0525811\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −83.6954 | + | 144.965i | −0.112343 | + | 0.194583i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −576.727 | − | 998.920i | −0.772057 | − | 1.33724i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −510.919 | + | 80.6625i | −0.682136 | + | 0.107694i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 262.737 | − | 151.692i | 0.349850 | − | 0.201986i | −0.314769 | − | 0.949168i | \(-0.601927\pi\) |
0.664619 | + | 0.747182i | \(0.268594\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −20.3701 | + | 35.2821i | −0.0270519 | + | 0.0468553i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 1286.37 | 1.70381 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 668.225i | 0.882728i | 0.897328 | + | 0.441364i | \(0.145505\pi\) | ||||
−0.897328 | + | 0.441364i | \(0.854495\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 1173.54 | + | 677.546i | 1.54617 | + | 0.892683i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −45.4152 | − | 78.6615i | −0.0596784 | − | 0.103366i | 0.834643 | − | 0.550792i | \(-0.185674\pi\) |
−0.894321 | + | 0.447426i | \(0.852341\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −658.095 | + | 532.375i | −0.862509 | + | 0.697740i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −227.082 | + | 131.106i | −0.296839 | + | 0.171380i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 5.99013 | + | 3.45840i | 0.00780982 | + | 0.00450900i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 421.091 | 0.547582 | 0.273791 | − | 0.961789i | \(-0.411722\pi\) | ||||
0.273791 | + | 0.961789i | \(0.411722\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −1671.88 | −2.16846 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −508.100 | − | 293.352i | −0.657309 | − | 0.379498i | 0.133942 | − | 0.990989i | \(-0.457237\pi\) |
−0.791251 | + | 0.611492i | \(0.790570\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 572.167 | − | 330.341i | 0.738281 | − | 0.426247i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 519.846 | + | 199.845i | 0.669043 | + | 0.257201i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 9.20171 | + | 15.9378i | 0.0118122 | + | 0.0204593i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 608.235 | + | 351.165i | 0.778791 | + | 0.449635i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 218.996i | 0.279688i | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −1163.23 | −1.48182 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 681.137 | − | 1179.76i | 0.865485 | − | 1.49906i | −0.00107958 | − | 0.999999i | \(-0.500344\pi\) |
0.866565 | − | 0.499065i | \(-0.166323\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 1849.01 | − | 1067.53i | 2.34349 | − | 1.35301i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −245.570 | + | 638.787i | −0.310456 | + | 0.807569i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 144.287 | + | 249.913i | 0.181951 | + | 0.315149i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 710.583 | − | 1230.77i | 0.893815 | − | 1.54813i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | − | 874.598i | − | 1.09736i | −0.836032 | − | 0.548681i | \(-0.815130\pi\) | ||
0.836032 | − | 0.548681i | \(-0.184870\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 2.51380i | 0.00314618i | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 346.737 | − | 600.567i | 0.432880 | − | 0.749771i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 13.5875 | + | 23.5342i | 0.0169209 | + | 0.0293078i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −587.315 | − | 726.008i | −0.729584 | − | 0.901874i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 367.208 | − | 212.008i | 0.455029 | − | 0.262711i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 27.9415 | − | 48.3961i | 0.0345383 | − | 0.0598222i | −0.848240 | − | 0.529613i | \(-0.822337\pi\) |
0.882778 | + | 0.469791i | \(0.155671\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −917.924 | −1.13184 | −0.565921 | − | 0.824459i | \(-0.691479\pi\) | ||||
−0.565921 | + | 0.824459i | \(0.691479\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 712.850i | 0.876815i | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −61.3432 | − | 35.4165i | −0.0752677 | − | 0.0434559i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −407.117 | − | 705.147i | −0.498307 | − | 0.863093i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −35.7751 | − | 226.601i | −0.0436815 | − | 0.276680i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −1178.10 | + | 680.176i | −1.43496 | + | 0.828472i | −0.997493 | − | 0.0707646i | \(-0.977456\pi\) |
−0.437463 | + | 0.899237i | \(0.644123\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −488.057 | − | 281.780i | −0.593022 | − | 0.342382i | 0.173269 | − | 0.984874i | \(-0.444567\pi\) |
−0.766292 | + | 0.642493i | \(0.777900\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 1719.16 | 2.08383 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −63.4180 | −0.0766844 | −0.0383422 | − | 0.999265i | \(-0.512208\pi\) | ||||
−0.0383422 | + | 0.999265i | \(0.512208\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −252.620 | − | 145.850i | −0.304728 | − | 0.175935i | 0.339837 | − | 0.940484i | \(-0.389628\pi\) |
−0.644565 | + | 0.764549i | \(0.722962\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 923.725 | − | 533.313i | 1.11158 | − | 0.641772i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −154.316 | + | 49.9715i | −0.185254 | + | 0.0599899i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 999.123 | + | 1730.53i | 1.19655 | + | 2.07249i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 245.520 | + | 141.751i | 0.293333 | + | 0.169356i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | − | 463.917i | − | 0.552940i | −0.961023 | − | 0.276470i | \(-0.910835\pi\) | ||
0.961023 | − | 0.276470i | \(-0.0891646\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 394.135 | 0.468651 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −545.046 | + | 944.047i | −0.646555 | + | 1.11987i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 974.927 | − | 562.874i | 1.15376 | − | 0.666124i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −890.520 | + | 140.593i | −1.05138 | + | 0.165989i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −525.956 | − | 910.983i | −0.619501 | − | 1.07301i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 168.025 | − | 291.028i | 0.197444 | − | 0.341984i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | − | 649.909i | − | 0.761909i | −0.924594 | − | 0.380955i | \(-0.875595\pi\) | ||
0.924594 | − | 0.380955i | \(-0.124405\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | − | 1284.56i | − | 1.50241i | ||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −584.140 | + | 1011.76i | −0.681610 | + | 1.18058i | 0.292880 | + | 0.956149i | \(0.405386\pi\) |
−0.974489 | + | 0.224433i | \(0.927947\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 733.208 | + | 1269.95i | 0.853560 | + | 1.47841i | 0.877974 | + | 0.478708i | \(0.158895\pi\) |
−0.0244139 | + | 0.999702i | \(0.507772\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 22.5098 | + | 27.8254i | 0.0261438 | + | 0.0323175i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 36.9921 | − | 21.3574i | 0.0428646 | − | 0.0247479i | −0.478415 | − | 0.878134i | \(-0.658788\pi\) |
0.521279 | + | 0.853386i | \(0.325455\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −341.298 | + | 591.145i | −0.394564 | + | 0.683404i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −1252.71 | −1.44488 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 1148.23i | 1.32132i | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −167.005 | − | 96.4206i | −0.191740 | − | 0.110701i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 580.933 | + | 1006.21i | 0.665444 | + | 1.15258i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 39.2709 | + | 15.0970i | 0.0448811 | + | 0.0172537i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 842.217 | − | 486.254i | 0.960338 | − | 0.554452i | 0.0640612 | − | 0.997946i | \(-0.479595\pi\) |
0.896277 | + | 0.443494i | \(0.146261\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −844.723 | − | 487.701i | −0.961005 | − | 0.554836i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −110.722 | −0.125678 | −0.0628390 | − | 0.998024i | \(-0.520015\pi\) | ||||
−0.0628390 | + | 0.998024i | \(0.520015\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −1283.66 | −1.45375 | −0.726874 | − | 0.686770i | \(-0.759028\pi\) | ||||
−0.726874 | + | 0.686770i | \(0.759028\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 65.2305 | + | 37.6608i | 0.0737067 | + | 0.0425546i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 429.755 | − | 248.119i | 0.484504 | − | 0.279729i | −0.237788 | − | 0.971317i | \(-0.576422\pi\) |
0.722292 | + | 0.691589i | \(0.243089\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −1143.75 | − | 439.693i | −1.28656 | − | 0.494593i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −434.781 | − | 753.063i | −0.487970 | − | 0.845189i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −10.6651 | − | 6.15750i | −0.0119430 | − | 0.00689529i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 2115.78i | 2.36400i | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −248.677 | −0.277232 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −289.245 | + | 500.987i | −0.321741 | + | 0.557272i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −128.996 | + | 74.4756i | −0.143169 | + | 0.0826589i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −995.914 | − | 1231.10i | −1.10289 | − | 1.36334i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −211.895 | − | 367.013i | −0.234138 | − | 0.405539i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 796.131 | − | 1378.94i | 0.877763 | − | 1.52033i | 0.0239725 | − | 0.999713i | \(-0.492369\pi\) |
0.853790 | − | 0.520617i | \(-0.174298\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | − | 2056.93i | − | 2.26285i | ||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 663.197i | 0.727988i | 0.931401 | + | 0.363994i | \(0.118587\pi\) | ||||
−0.931401 | + | 0.363994i | \(0.881413\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 806.690 | − | 1397.23i | 0.883559 | − | 1.53037i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 1571.24 | + | 2721.47i | 1.71720 | + | 2.97428i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −59.6008 | + | 9.40960i | −0.0649954 | + | 0.0102613i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −441.371 | + | 254.826i | −0.480273 | + | 0.277286i | −0.720530 | − | 0.693424i | \(-0.756102\pi\) |
0.240257 | + | 0.970709i | \(0.422768\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 390.822 | − | 676.924i | 0.424345 | − | 0.734988i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −128.886 | −0.139639 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | − | 426.335i | − | 0.460902i | ||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −448.702 | − | 259.058i | −0.484037 | − | 0.279459i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 161.143 | + | 279.108i | 0.173459 | + | 0.300439i | 0.939627 | − | 0.342201i | \(-0.111172\pi\) |
−0.766168 | + | 0.642640i | \(0.777839\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 165.984 | − | 777.109i | 0.178285 | − | 0.834703i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −451.473 | + | 260.658i | −0.483894 | + | 0.279376i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −317.628 | − | 183.383i | −0.339710 | − | 0.196131i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −1077.79 | −1.15026 | −0.575130 | − | 0.818062i | \(-0.695048\pi\) | ||||
−0.575130 | + | 0.818062i | \(0.695048\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 948.502 | 1.01012 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 63.5953 | + | 36.7168i | 0.0675827 | + | 0.0390189i | 0.533411 | − | 0.845856i | \(-0.320910\pi\) |
−0.465828 | + | 0.884875i | \(0.654243\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 18.7023 | − | 10.7978i | 0.0198327 | − | 0.0114504i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −79.2771 | − | 502.144i | −0.0838911 | − | 0.531369i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 38.4077 | + | 66.5241i | 0.0405572 | + | 0.0702472i | 0.885591 | − | 0.464465i | \(-0.153753\pi\) |
−0.845034 | + | 0.534712i | \(0.820420\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −4.31882 | − | 2.49347i | −0.00455092 | − | 0.00262747i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 1576.34i | 1.65756i | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −1329.39 | −1.39495 | −0.697477 | − | 0.716607i | \(-0.745694\pi\) | ||||
−0.697477 | + | 0.716607i | \(0.745694\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 257.317 | − | 445.686i | 0.269442 | − | 0.466687i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −1303.62 | + | 752.643i | −1.36219 | + | 0.786461i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 1127.42 | + | 1393.66i | 1.17563 | + | 1.45325i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −106.056 | − | 183.695i | −0.110360 | − | 0.191150i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −417.469 | + | 723.077i | −0.433509 | + | 0.750859i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 456.288i | 0.472837i | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 601.743i | − | 0.622279i | −0.950364 | − | 0.311139i | \(-0.899289\pi\) | ||
0.950364 | − | 0.311139i | \(-0.100711\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −120.935 | + | 209.466i | −0.124804 | + | 0.216167i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 213.139 | + | 369.168i | 0.219505 | + | 0.380193i | 0.954657 | − | 0.297709i | \(-0.0962225\pi\) |
−0.735152 | + | 0.677902i | \(0.762889\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −549.668 | + | 1429.82i | −0.564921 | + | 1.46950i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −273.220 | + | 157.744i | −0.280225 | + | 0.161788i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −109.928 | + | 190.401i | −0.112516 | + | 0.194884i | −0.916784 | − | 0.399383i | \(-0.869224\pi\) |
0.804268 | + | 0.594267i | \(0.202558\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 969.989 | 0.990796 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 1366.37i | 1.39283i | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −1444.72 | − | 834.112i | −1.46971 | − | 0.848537i | −0.470286 | − | 0.882514i | \(-0.655849\pi\) |
−0.999423 | + | 0.0339771i | \(0.989183\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 1220.91 | + | 2114.67i | 1.23950 | + | 2.14687i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −22.3547 | − | 8.59388i | −0.0226492 | − | 0.00870707i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −827.456 | + | 477.732i | −0.836659 | + | 0.483045i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −1184.20 | − | 683.697i | −1.19495 | − | 0.689906i | −0.235527 | − | 0.971868i | \(-0.575682\pi\) |
−0.959426 | + | 0.281962i | \(0.909015\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −964.670 | −0.971471 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −1823.44 | −1.83260 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −803.308 | − | 463.790i | −0.805725 | − | 0.465186i | 0.0397440 | − | 0.999210i | \(-0.487346\pi\) |
−0.845469 | + | 0.534024i | \(0.820679\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 158.433 | − | 91.4711i | 0.158591 | − | 0.0915626i |
(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.c.207.2 | 12 | ||
4.3 | odd | 2 | 56.3.k.c.11.4 | ✓ | 12 | ||
7.2 | even | 3 | inner | 224.3.o.c.79.1 | 12 | ||
7.3 | odd | 6 | 1568.3.g.i.687.1 | 6 | |||
7.4 | even | 3 | 1568.3.g.k.687.6 | 6 | |||
8.3 | odd | 2 | inner | 224.3.o.c.207.1 | 12 | ||
8.5 | even | 2 | 56.3.k.c.11.5 | yes | 12 | ||
28.3 | even | 6 | 392.3.g.l.99.1 | 6 | |||
28.11 | odd | 6 | 392.3.g.k.99.1 | 6 | |||
28.19 | even | 6 | 392.3.k.k.275.5 | 12 | |||
28.23 | odd | 6 | 56.3.k.c.51.5 | yes | 12 | ||
28.27 | even | 2 | 392.3.k.k.67.4 | 12 | |||
56.3 | even | 6 | 1568.3.g.i.687.2 | 6 | |||
56.5 | odd | 6 | 392.3.k.k.275.4 | 12 | |||
56.11 | odd | 6 | 1568.3.g.k.687.5 | 6 | |||
56.13 | odd | 2 | 392.3.k.k.67.5 | 12 | |||
56.37 | even | 6 | 56.3.k.c.51.4 | yes | 12 | ||
56.45 | odd | 6 | 392.3.g.l.99.2 | 6 | |||
56.51 | odd | 6 | inner | 224.3.o.c.79.2 | 12 | ||
56.53 | even | 6 | 392.3.g.k.99.2 | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
56.3.k.c.11.4 | ✓ | 12 | 4.3 | odd | 2 | ||
56.3.k.c.11.5 | yes | 12 | 8.5 | even | 2 | ||
56.3.k.c.51.4 | yes | 12 | 56.37 | even | 6 | ||
56.3.k.c.51.5 | yes | 12 | 28.23 | odd | 6 | ||
224.3.o.c.79.1 | 12 | 7.2 | even | 3 | inner | ||
224.3.o.c.79.2 | 12 | 56.51 | odd | 6 | inner | ||
224.3.o.c.207.1 | 12 | 8.3 | odd | 2 | inner | ||
224.3.o.c.207.2 | 12 | 1.1 | even | 1 | trivial | ||
392.3.g.k.99.1 | 6 | 28.11 | odd | 6 | |||
392.3.g.k.99.2 | 6 | 56.53 | even | 6 | |||
392.3.g.l.99.1 | 6 | 28.3 | even | 6 | |||
392.3.g.l.99.2 | 6 | 56.45 | odd | 6 | |||
392.3.k.k.67.4 | 12 | 28.27 | even | 2 | |||
392.3.k.k.67.5 | 12 | 56.13 | odd | 2 | |||
392.3.k.k.275.4 | 12 | 56.5 | odd | 6 | |||
392.3.k.k.275.5 | 12 | 28.19 | even | 6 | |||
1568.3.g.i.687.1 | 6 | 7.3 | odd | 6 | |||
1568.3.g.i.687.2 | 6 | 56.3 | even | 6 | |||
1568.3.g.k.687.5 | 6 | 56.11 | odd | 6 | |||
1568.3.g.k.687.6 | 6 | 7.4 | even | 3 |