Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [208,2,Mod(81,208)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(208, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("208.81");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 208 = 2^{4} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 208.i (of order \(3\), 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: | \(1.66088836204\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\zeta_{6})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 104) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 113.1 | ||
Root | \(0.500000 + 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 208.113 |
Dual form | 208.2.i.c.81.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/208\mathbb{Z}\right)^\times\).
\(n\) | \(53\) | \(79\) | \(145\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0.500000 | − | 0.866025i | 0.288675 | − | 0.500000i | −0.684819 | − | 0.728714i | \(-0.740119\pi\) |
0.973494 | + | 0.228714i | \(0.0734519\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 2.00000 | 0.894427 | 0.447214 | − | 0.894427i | \(-0.352416\pi\) | ||||
0.447214 | + | 0.894427i | \(0.352416\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.500000 | − | 0.866025i | −0.188982 | − | 0.327327i | 0.755929 | − | 0.654654i | \(-0.227186\pi\) |
−0.944911 | + | 0.327327i | \(0.893852\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 1.00000 | + | 1.73205i | 0.333333 | + | 0.577350i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.500000 | − | 0.866025i | 0.150756 | − | 0.261116i | −0.780750 | − | 0.624844i | \(-0.785163\pi\) |
0.931505 | + | 0.363727i | \(0.118496\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.00000 | − | 3.46410i | −0.277350 | − | 0.960769i | ||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 1.00000 | − | 1.73205i | 0.258199 | − | 0.447214i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −1.50000 | − | 2.59808i | −0.363803 | − | 0.630126i | 0.624780 | − | 0.780801i | \(-0.285189\pi\) |
−0.988583 | + | 0.150675i | \(0.951855\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.50000 | + | 6.06218i | 0.802955 | + | 1.39076i | 0.917663 | + | 0.397360i | \(0.130073\pi\) |
−0.114708 | + | 0.993399i | \(0.536593\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −1.00000 | −0.218218 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0.500000 | − | 0.866025i | 0.104257 | − | 0.180579i | −0.809177 | − | 0.587565i | \(-0.800087\pi\) |
0.913434 | + | 0.406986i | \(0.133420\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.00000 | −0.200000 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 5.00000 | 0.962250 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −1.50000 | + | 2.59808i | −0.278543 | + | 0.482451i | −0.971023 | − | 0.238987i | \(-0.923185\pi\) |
0.692480 | + | 0.721437i | \(0.256518\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −8.00000 | −1.43684 | −0.718421 | − | 0.695608i | \(-0.755135\pi\) | ||||
−0.718421 | + | 0.695608i | \(0.755135\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −0.500000 | − | 0.866025i | −0.0870388 | − | 0.150756i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −1.00000 | − | 1.73205i | −0.169031 | − | 0.292770i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.500000 | − | 0.866025i | 0.0821995 | − | 0.142374i | −0.821995 | − | 0.569495i | \(-0.807139\pi\) |
0.904194 | + | 0.427121i | \(0.140472\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −3.50000 | − | 0.866025i | −0.560449 | − | 0.138675i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −5.50000 | + | 9.52628i | −0.858956 | + | 1.48775i | 0.0139704 | + | 0.999902i | \(0.495553\pi\) |
−0.872926 | + | 0.487852i | \(0.837780\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.50000 | + | 9.52628i | 0.838742 | + | 1.45274i | 0.890947 | + | 0.454108i | \(0.150042\pi\) |
−0.0522047 | + | 0.998636i | \(0.516625\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 2.00000 | + | 3.46410i | 0.298142 | + | 0.516398i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −12.0000 | −1.75038 | −0.875190 | − | 0.483779i | \(-0.839264\pi\) | ||||
−0.875190 | + | 0.483779i | \(0.839264\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 3.00000 | − | 5.19615i | 0.428571 | − | 0.742307i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −3.00000 | −0.420084 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −6.00000 | −0.824163 | −0.412082 | − | 0.911147i | \(-0.635198\pi\) | ||||
−0.412082 | + | 0.911147i | \(0.635198\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.00000 | − | 1.73205i | 0.134840 | − | 0.233550i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 7.00000 | 0.927173 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −4.50000 | − | 7.79423i | −0.585850 | − | 1.01472i | −0.994769 | − | 0.102151i | \(-0.967427\pi\) |
0.408919 | − | 0.912571i | \(-0.365906\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 4.50000 | + | 7.79423i | 0.576166 | + | 0.997949i | 0.995914 | + | 0.0903080i | \(0.0287851\pi\) |
−0.419748 | + | 0.907641i | \(0.637882\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 1.00000 | − | 1.73205i | 0.125988 | − | 0.218218i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −2.00000 | − | 6.92820i | −0.248069 | − | 0.859338i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.50000 | + | 2.59808i | −0.183254 | + | 0.317406i | −0.942987 | − | 0.332830i | \(-0.891996\pi\) |
0.759733 | + | 0.650236i | \(0.225330\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −0.500000 | − | 0.866025i | −0.0601929 | − | 0.104257i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −2.50000 | − | 4.33013i | −0.296695 | − | 0.513892i | 0.678682 | − | 0.734432i | \(-0.262551\pi\) |
−0.975378 | + | 0.220540i | \(0.929218\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2.00000 | −0.234082 | −0.117041 | − | 0.993127i | \(-0.537341\pi\) | ||||
−0.117041 | + | 0.993127i | \(0.537341\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −0.500000 | + | 0.866025i | −0.0577350 | + | 0.100000i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −1.00000 | −0.113961 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 12.0000 | 1.35011 | 0.675053 | − | 0.737769i | \(-0.264121\pi\) | ||||
0.675053 | + | 0.737769i | \(0.264121\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 4.00000 | 0.439057 | 0.219529 | − | 0.975606i | \(-0.429548\pi\) | ||||
0.219529 | + | 0.975606i | \(0.429548\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −3.00000 | − | 5.19615i | −0.325396 | − | 0.563602i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 1.50000 | + | 2.59808i | 0.160817 | + | 0.278543i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 0.500000 | − | 0.866025i | 0.0529999 | − | 0.0917985i | −0.838308 | − | 0.545197i | \(-0.816455\pi\) |
0.891308 | + | 0.453398i | \(0.149788\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.50000 | + | 2.59808i | −0.262071 | + | 0.272352i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −4.00000 | + | 6.92820i | −0.414781 | + | 0.718421i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 7.00000 | + | 12.1244i | 0.718185 | + | 1.24393i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0.500000 | + | 0.866025i | 0.0507673 | + | 0.0879316i | 0.890292 | − | 0.455389i | \(-0.150500\pi\) |
−0.839525 | + | 0.543321i | \(0.817167\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 2.00000 | 0.201008 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 8.50000 | − | 14.7224i | 0.845782 | − | 1.46494i | −0.0391591 | − | 0.999233i | \(-0.512468\pi\) |
0.884941 | − | 0.465704i | \(-0.154199\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 8.00000 | 0.788263 | 0.394132 | − | 0.919054i | \(-0.371045\pi\) | ||||
0.394132 | + | 0.919054i | \(0.371045\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −2.00000 | −0.195180 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 8.50000 | − | 14.7224i | 0.821726 | − | 1.42327i | −0.0826699 | − | 0.996577i | \(-0.526345\pi\) |
0.904396 | − | 0.426694i | \(-0.140322\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 10.0000 | 0.957826 | 0.478913 | − | 0.877862i | \(-0.341031\pi\) | ||||
0.478913 | + | 0.877862i | \(0.341031\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −0.500000 | − | 0.866025i | −0.0474579 | − | 0.0821995i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −5.50000 | − | 9.52628i | −0.517396 | − | 0.896157i | −0.999796 | − | 0.0202056i | \(-0.993568\pi\) |
0.482399 | − | 0.875951i | \(-0.339765\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.00000 | − | 1.73205i | 0.0932505 | − | 0.161515i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 5.00000 | − | 5.19615i | 0.462250 | − | 0.480384i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −1.50000 | + | 2.59808i | −0.137505 | + | 0.238165i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.00000 | + | 8.66025i | 0.454545 | + | 0.787296i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 5.50000 | + | 9.52628i | 0.495918 | + | 0.858956i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −12.0000 | −1.07331 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 6.50000 | − | 11.2583i | 0.576782 | − | 0.999015i | −0.419064 | − | 0.907957i | \(-0.637642\pi\) |
0.995846 | − | 0.0910585i | \(-0.0290250\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 11.0000 | 0.968496 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −12.0000 | −1.04844 | −0.524222 | − | 0.851581i | \(-0.675644\pi\) | ||||
−0.524222 | + | 0.851581i | \(0.675644\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 3.50000 | − | 6.06218i | 0.303488 | − | 0.525657i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 10.0000 | 0.860663 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 4.50000 | + | 7.79423i | 0.384461 | + | 0.665906i | 0.991694 | − | 0.128618i | \(-0.0410540\pi\) |
−0.607233 | + | 0.794524i | \(0.707721\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −4.50000 | − | 7.79423i | −0.381685 | − | 0.661098i | 0.609618 | − | 0.792695i | \(-0.291323\pi\) |
−0.991303 | + | 0.131597i | \(0.957989\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −6.00000 | + | 10.3923i | −0.505291 | + | 0.875190i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −3.50000 | − | 0.866025i | −0.292685 | − | 0.0724207i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −3.00000 | + | 5.19615i | −0.249136 | + | 0.431517i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −3.00000 | − | 5.19615i | −0.247436 | − | 0.428571i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 0.500000 | + | 0.866025i | 0.0409616 | + | 0.0709476i | 0.885779 | − | 0.464107i | \(-0.153625\pi\) |
−0.844818 | + | 0.535054i | \(0.820291\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −16.0000 | −1.30206 | −0.651031 | − | 0.759051i | \(-0.725663\pi\) | ||||
−0.651031 | + | 0.759051i | \(0.725663\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 3.00000 | − | 5.19615i | 0.242536 | − | 0.420084i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −16.0000 | −1.28515 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 10.0000 | 0.798087 | 0.399043 | − | 0.916932i | \(-0.369342\pi\) | ||||
0.399043 | + | 0.916932i | \(0.369342\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −3.00000 | + | 5.19615i | −0.237915 | + | 0.412082i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −1.00000 | −0.0788110 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −2.50000 | − | 4.33013i | −0.195815 | − | 0.339162i | 0.751352 | − | 0.659901i | \(-0.229402\pi\) |
−0.947167 | + | 0.320740i | \(0.896069\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −1.00000 | − | 1.73205i | −0.0778499 | − | 0.134840i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −3.50000 | + | 6.06218i | −0.270838 | + | 0.469105i | −0.969077 | − | 0.246760i | \(-0.920634\pi\) |
0.698239 | + | 0.715865i | \(0.253967\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −11.0000 | + | 6.92820i | −0.846154 | + | 0.532939i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −7.00000 | + | 12.1244i | −0.535303 | + | 0.927173i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 4.50000 | + | 7.79423i | 0.342129 | + | 0.592584i | 0.984828 | − | 0.173534i | \(-0.0555188\pi\) |
−0.642699 | + | 0.766119i | \(0.722185\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.500000 | + | 0.866025i | 0.0377964 | + | 0.0654654i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −9.00000 | −0.676481 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 4.50000 | − | 7.79423i | 0.336346 | − | 0.582568i | −0.647397 | − | 0.762153i | \(-0.724142\pi\) |
0.983742 | + | 0.179585i | \(0.0574756\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −14.0000 | −1.04061 | −0.520306 | − | 0.853980i | \(-0.674182\pi\) | ||||
−0.520306 | + | 0.853980i | \(0.674182\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 9.00000 | 0.665299 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 1.00000 | − | 1.73205i | 0.0735215 | − | 0.127343i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −3.00000 | −0.219382 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −2.50000 | − | 4.33013i | −0.181848 | − | 0.314970i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 3.50000 | + | 6.06218i | 0.253251 | + | 0.438644i | 0.964419 | − | 0.264378i | \(-0.0851668\pi\) |
−0.711168 | + | 0.703022i | \(0.751833\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 2.50000 | − | 4.33013i | 0.179954 | − | 0.311689i | −0.761911 | − | 0.647682i | \(-0.775738\pi\) |
0.941865 | + | 0.335993i | \(0.109072\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −7.00000 | − | 1.73205i | −0.501280 | − | 0.124035i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 6.50000 | − | 11.2583i | 0.463106 | − | 0.802123i | −0.536008 | − | 0.844213i | \(-0.680068\pi\) |
0.999114 | + | 0.0420901i | \(0.0134016\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 1.50000 | + | 2.59808i | 0.106332 | + | 0.184173i | 0.914282 | − | 0.405079i | \(-0.132756\pi\) |
−0.807950 | + | 0.589252i | \(0.799423\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 1.50000 | + | 2.59808i | 0.105802 | + | 0.183254i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 3.00000 | 0.210559 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −11.0000 | + | 19.0526i | −0.768273 | + | 1.33069i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 2.00000 | 0.139010 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 7.00000 | 0.484200 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.500000 | − | 0.866025i | 0.0344214 | − | 0.0596196i | −0.848301 | − | 0.529514i | \(-0.822374\pi\) |
0.882723 | + | 0.469894i | \(0.155708\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −5.00000 | −0.342594 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 11.0000 | + | 19.0526i | 0.750194 | + | 1.29937i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 4.00000 | + | 6.92820i | 0.271538 | + | 0.470317i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −1.00000 | + | 1.73205i | −0.0675737 | + | 0.117041i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −7.50000 | + | 7.79423i | −0.504505 | + | 0.524297i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 0.500000 | − | 0.866025i | 0.0334825 | − | 0.0579934i | −0.848799 | − | 0.528716i | \(-0.822674\pi\) |
0.882281 | + | 0.470723i | \(0.156007\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −1.00000 | − | 1.73205i | −0.0666667 | − | 0.115470i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −0.500000 | − | 0.866025i | −0.0331862 | − | 0.0574801i | 0.848955 | − | 0.528465i | \(-0.177232\pi\) |
−0.882141 | + | 0.470985i | \(0.843899\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −6.00000 | −0.396491 | −0.198246 | − | 0.980152i | \(-0.563524\pi\) | ||||
−0.198246 | + | 0.980152i | \(0.563524\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −0.500000 | + | 0.866025i | −0.0328976 | + | 0.0569803i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −26.0000 | −1.70332 | −0.851658 | − | 0.524097i | \(-0.824403\pi\) | ||||
−0.851658 | + | 0.524097i | \(0.824403\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −24.0000 | −1.56559 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 6.00000 | − | 10.3923i | 0.389742 | − | 0.675053i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 24.0000 | 1.55243 | 0.776215 | − | 0.630468i | \(-0.217137\pi\) | ||||
0.776215 | + | 0.630468i | \(0.217137\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −5.50000 | − | 9.52628i | −0.354286 | − | 0.613642i | 0.632709 | − | 0.774389i | \(-0.281943\pi\) |
−0.986996 | + | 0.160748i | \(0.948609\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 8.00000 | + | 13.8564i | 0.513200 | + | 0.888889i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 6.00000 | − | 10.3923i | 0.383326 | − | 0.663940i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 17.5000 | − | 18.1865i | 1.11350 | − | 1.15718i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 2.00000 | − | 3.46410i | 0.126745 | − | 0.219529i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −6.50000 | − | 11.2583i | −0.410276 | − | 0.710620i | 0.584643 | − | 0.811290i | \(-0.301234\pi\) |
−0.994920 | + | 0.100671i | \(0.967901\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.500000 | − | 0.866025i | −0.0314347 | − | 0.0544466i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −6.00000 | −0.375735 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 6.50000 | − | 11.2583i | 0.405459 | − | 0.702275i | −0.588916 | − | 0.808194i | \(-0.700445\pi\) |
0.994375 | + | 0.105919i | \(0.0337784\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.00000 | −0.0621370 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −6.00000 | −0.371391 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −15.5000 | + | 26.8468i | −0.955771 | + | 1.65544i | −0.223177 | + | 0.974778i | \(0.571643\pi\) |
−0.732594 | + | 0.680666i | \(0.761691\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −12.0000 | −0.737154 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −0.500000 | − | 0.866025i | −0.0305995 | − | 0.0529999i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 2.50000 | + | 4.33013i | 0.152428 | + | 0.264013i | 0.932119 | − | 0.362151i | \(-0.117958\pi\) |
−0.779692 | + | 0.626164i | \(0.784624\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −3.50000 | + | 6.06218i | −0.212610 | + | 0.368251i | −0.952531 | − | 0.304443i | \(-0.901530\pi\) |
0.739921 | + | 0.672694i | \(0.234863\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 1.00000 | + | 3.46410i | 0.0605228 | + | 0.209657i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −0.500000 | + | 0.866025i | −0.0301511 | + | 0.0522233i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 10.5000 | + | 18.1865i | 0.630884 | + | 1.09272i | 0.987371 | + | 0.158423i | \(0.0506409\pi\) |
−0.356488 | + | 0.934300i | \(0.616026\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −8.00000 | − | 13.8564i | −0.478947 | − | 0.829561i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 14.0000 | 0.835170 | 0.417585 | − | 0.908638i | \(-0.362877\pi\) | ||||
0.417585 | + | 0.908638i | \(0.362877\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 12.5000 | − | 21.6506i | 0.743048 | − | 1.28700i | −0.208053 | − | 0.978117i | \(-0.566713\pi\) |
0.951101 | − | 0.308879i | \(-0.0999539\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 14.0000 | 0.829288 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 11.0000 | 0.649309 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 4.00000 | − | 6.92820i | 0.235294 | − | 0.407541i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 1.00000 | 0.0586210 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 4.50000 | + | 7.79423i | 0.262893 | + | 0.455344i | 0.967009 | − | 0.254741i | \(-0.0819901\pi\) |
−0.704117 | + | 0.710084i | \(0.748657\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −9.00000 | − | 15.5885i | −0.524000 | − | 0.907595i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 2.50000 | − | 4.33013i | 0.145065 | − | 0.251259i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −3.50000 | − | 0.866025i | −0.202410 | − | 0.0500835i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 5.50000 | − | 9.52628i | 0.317015 | − | 0.549086i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −8.50000 | − | 14.7224i | −0.488312 | − | 0.845782i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 9.00000 | + | 15.5885i | 0.515339 | + | 0.892592i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 20.0000 | 1.14146 | 0.570730 | − | 0.821138i | \(-0.306660\pi\) | ||||
0.570730 | + | 0.821138i | \(0.306660\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 4.00000 | − | 6.92820i | 0.227552 | − | 0.394132i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −8.00000 | −0.453638 | −0.226819 | − | 0.973937i | \(-0.572833\pi\) | ||||
−0.226819 | + | 0.973937i | \(0.572833\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 30.0000 | 1.69570 | 0.847850 | − | 0.530236i | \(-0.177897\pi\) | ||||
0.847850 | + | 0.530236i | \(0.177897\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 2.00000 | − | 3.46410i | 0.112687 | − | 0.195180i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −2.00000 | −0.112331 | −0.0561656 | − | 0.998421i | \(-0.517887\pi\) | ||||
−0.0561656 | + | 0.998421i | \(0.517887\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 1.50000 | + | 2.59808i | 0.0839839 | + | 0.145464i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −8.50000 | − | 14.7224i | −0.474424 | − | 0.821726i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 10.5000 | − | 18.1865i | 0.584236 | − | 1.01193i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 1.00000 | + | 3.46410i | 0.0554700 | + | 0.192154i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 5.00000 | − | 8.66025i | 0.276501 | − | 0.478913i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 6.00000 | + | 10.3923i | 0.330791 | + | 0.572946i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 13.5000 | + | 23.3827i | 0.742027 | + | 1.28523i | 0.951571 | + | 0.307429i | \(0.0994688\pi\) |
−0.209544 | + | 0.977799i | \(0.567198\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 2.00000 | 0.109599 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −3.00000 | + | 5.19615i | −0.163908 | + | 0.283896i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 6.00000 | 0.326841 | 0.163420 | − | 0.986557i | \(-0.447747\pi\) | ||||
0.163420 | + | 0.986557i | \(0.447747\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −11.0000 | −0.597438 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −4.00000 | + | 6.92820i | −0.216612 | + | 0.375183i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −13.0000 | −0.701934 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −1.00000 | − | 1.73205i | −0.0538382 | − | 0.0932505i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 13.5000 | + | 23.3827i | 0.724718 | + | 1.25525i | 0.959090 | + | 0.283101i | \(0.0913633\pi\) |
−0.234372 | + | 0.972147i | \(0.575303\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 4.50000 | − | 7.79423i | 0.240879 | − | 0.417215i | −0.720086 | − | 0.693885i | \(-0.755897\pi\) |
0.960965 | + | 0.276670i | \(0.0892308\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −5.00000 | − | 17.3205i | −0.266880 | − | 0.924500i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 12.5000 | − | 21.6506i | 0.665308 | − | 1.15235i | −0.313894 | − | 0.949458i | \(-0.601634\pi\) |
0.979202 | − | 0.202889i | \(-0.0650330\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −5.00000 | − | 8.66025i | −0.265372 | − | 0.459639i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 1.50000 | + | 2.59808i | 0.0793884 | + | 0.137505i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 24.0000 | 1.26667 | 0.633336 | − | 0.773877i | \(-0.281685\pi\) | ||||
0.633336 | + | 0.773877i | \(0.281685\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −15.0000 | + | 25.9808i | −0.789474 | + | 1.36741i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 10.0000 | 0.524864 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −4.00000 | −0.209370 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −7.50000 | + | 12.9904i | −0.391497 | + | 0.678092i | −0.992647 | − | 0.121044i | \(-0.961376\pi\) |
0.601150 | + | 0.799136i | \(0.294709\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −22.0000 | −1.14527 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 3.00000 | + | 5.19615i | 0.155752 | + | 0.269771i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −5.50000 | − | 9.52628i | −0.284779 | − | 0.493252i | 0.687776 | − | 0.725923i | \(-0.258587\pi\) |
−0.972556 | + | 0.232671i | \(0.925254\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −6.00000 | + | 10.3923i | −0.309839 | + | 0.536656i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 10.5000 | + | 2.59808i | 0.540778 | + | 0.133808i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −7.50000 | + | 12.9904i | −0.385249 | + | 0.667271i | −0.991804 | − | 0.127771i | \(-0.959218\pi\) |
0.606555 | + | 0.795042i | \(0.292551\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −6.50000 | − | 11.2583i | −0.333005 | − | 0.576782i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −16.5000 | − | 28.5788i | −0.843111 | − | 1.46031i | −0.887252 | − | 0.461285i | \(-0.847389\pi\) |
0.0441413 | − | 0.999025i | \(-0.485945\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −2.00000 | −0.101929 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −11.0000 | + | 19.0526i | −0.559161 | + | 0.968496i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 6.00000 | 0.304212 | 0.152106 | − | 0.988364i | \(-0.451394\pi\) | ||||
0.152106 | + | 0.988364i | \(0.451394\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −3.00000 | −0.151717 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −6.00000 | + | 10.3923i | −0.302660 | + | 0.524222i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 24.0000 | 1.20757 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −9.50000 | − | 16.4545i | −0.476791 | − | 0.825827i | 0.522855 | − | 0.852422i | \(-0.324867\pi\) |
−0.999646 | + | 0.0265948i | \(0.991534\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −3.50000 | − | 6.06218i | −0.175219 | − | 0.303488i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −13.5000 | + | 23.3827i | −0.674158 | + | 1.16768i | 0.302556 | + | 0.953131i | \(0.402160\pi\) |
−0.976714 | + | 0.214544i | \(0.931173\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 8.00000 | + | 27.7128i | 0.398508 | + | 1.38047i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −1.00000 | + | 1.73205i | −0.0496904 | + | 0.0860663i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −0.500000 | − | 0.866025i | −0.0247841 | − | 0.0429273i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −17.5000 | − | 30.3109i | −0.865319 | − | 1.49878i | −0.866730 | − | 0.498778i | \(-0.833782\pi\) |
0.00141047 | − | 0.999999i | \(-0.499551\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 9.00000 | 0.443937 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −4.50000 | + | 7.79423i | −0.221431 | + | 0.383529i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 8.00000 | 0.392705 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −9.00000 | −0.440732 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 10.5000 | − | 18.1865i | 0.512959 | − | 0.888470i | −0.486928 | − | 0.873442i | \(-0.661883\pi\) |
0.999887 | − | 0.0150285i | \(-0.00478389\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −22.0000 | −1.07221 | −0.536107 | − | 0.844150i | \(-0.680106\pi\) | ||||
−0.536107 | + | 0.844150i | \(0.680106\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −12.0000 | − | 20.7846i | −0.583460 | − | 1.01058i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 1.50000 | + | 2.59808i | 0.0727607 | + | 0.126025i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 4.50000 | − | 7.79423i | 0.217770 | − | 0.377189i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −2.50000 | + | 2.59808i | −0.120701 | + | 0.125436i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −5.50000 | + | 9.52628i | −0.264926 | + | 0.458865i | −0.967544 | − | 0.252702i | \(-0.918681\pi\) |
0.702618 | + | 0.711567i | \(0.252014\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −9.50000 | − | 16.4545i | −0.456541 | − | 0.790752i | 0.542234 | − | 0.840227i | \(-0.317578\pi\) |
−0.998775 | + | 0.0494752i | \(0.984245\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 3.00000 | + | 5.19615i | 0.143839 | + | 0.249136i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 7.00000 | 0.334855 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −17.5000 | + | 30.3109i | −0.835229 | + | 1.44666i | 0.0586141 | + | 0.998281i | \(0.481332\pi\) |
−0.893843 | + | 0.448379i | \(0.852001\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 12.0000 | 0.571429 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −12.0000 | −0.570137 | −0.285069 | − | 0.958507i | \(-0.592016\pi\) | ||||
−0.285069 | + | 0.958507i | \(0.592016\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 1.00000 | − | 1.73205i | 0.0474045 | − | 0.0821071i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 1.00000 | 0.0472984 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 10.5000 | + | 18.1865i | 0.495526 | + | 0.858276i | 0.999987 | − | 0.00515887i | \(-0.00164213\pi\) |
−0.504461 | + | 0.863434i | \(0.668309\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 5.50000 | + | 9.52628i | 0.258985 | + | 0.448575i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −8.00000 | + | 13.8564i | −0.375873 | + | 0.651031i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −5.00000 | + | 5.19615i | −0.234404 | + | 0.243599i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −3.50000 | + | 6.06218i | −0.163723 | + | 0.283577i | −0.936201 | − | 0.351465i | \(-0.885684\pi\) |
0.772478 | + | 0.635042i | \(0.219017\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −7.50000 | − | 12.9904i | −0.350070 | − | 0.606339i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −1.50000 | − | 2.59808i | −0.0698620 | − | 0.121004i | 0.828978 | − | 0.559281i | \(-0.188923\pi\) |
−0.898840 | + | 0.438276i | \(0.855589\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −24.0000 | −1.11537 | −0.557687 | − | 0.830051i | \(-0.688311\pi\) | ||||
−0.557687 | + | 0.830051i | \(0.688311\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −8.00000 | + | 13.8564i | −0.370991 | + | 0.642575i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 8.00000 | 0.370196 | 0.185098 | − | 0.982720i | \(-0.440740\pi\) | ||||
0.185098 | + | 0.982720i | \(0.440740\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 3.00000 | 0.138527 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 5.00000 | − | 8.66025i | 0.230388 | − | 0.399043i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 11.0000 | 0.505781 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −3.50000 | − | 6.06218i | −0.160591 | − | 0.278152i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −6.00000 | − | 10.3923i | −0.274721 | − | 0.475831i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −13.5000 | + | 23.3827i | −0.616831 | + | 1.06838i | 0.373230 | + | 0.927739i | \(0.378250\pi\) |
−0.990060 | + | 0.140643i | \(0.955083\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −3.50000 | − | 0.866025i | −0.159586 | − | 0.0394874i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −0.500000 | + | 0.866025i | −0.0227508 | + | 0.0394055i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 1.00000 | + | 1.73205i | 0.0454077 | + | 0.0786484i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −6.50000 | − | 11.2583i | −0.294543 | − | 0.510164i | 0.680335 | − | 0.732901i | \(-0.261834\pi\) |
−0.974879 | + | 0.222737i | \(0.928501\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −5.00000 | −0.226108 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −1.50000 | + | 2.59808i | −0.0676941 | + | 0.117250i | −0.897886 | − | 0.440228i | \(-0.854898\pi\) |
0.830192 | + | 0.557478i | \(0.188231\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 9.00000 | 0.405340 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 4.00000 | 0.179787 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −2.50000 | + | 4.33013i | −0.112140 | + | 0.194233i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −36.0000 | −1.61158 | −0.805791 | − | 0.592200i | \(-0.798259\pi\) | ||||
−0.805791 | + | 0.592200i | \(0.798259\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 3.50000 | + | 6.06218i | 0.156368 | + | 0.270838i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −12.5000 | − | 21.6506i | −0.557347 | − | 0.965354i | −0.997717 | − | 0.0675374i | \(-0.978486\pi\) |
0.440369 | − | 0.897817i | \(-0.354848\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 17.0000 | − | 29.4449i | 0.756490 | − | 1.31028i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0.500000 | + | 12.9904i | 0.0222058 | + | 0.576923i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 0.500000 | − | 0.866025i | 0.0221621 | − | 0.0383859i | −0.854732 | − | 0.519070i | \(-0.826278\pi\) |
0.876894 | + | 0.480684i | \(0.159612\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 1.00000 | + | 1.73205i | 0.0442374 | + | 0.0766214i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 17.5000 | + | 30.3109i | 0.772644 | + | 1.33826i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 16.0000 | 0.705044 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −6.00000 | + | 10.3923i | −0.263880 | + | 0.457053i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 9.00000 | 0.395056 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −42.0000 | −1.84005 | −0.920027 | − | 0.391856i | \(-0.871833\pi\) | ||||
−0.920027 | + | 0.391856i | \(0.871833\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −9.50000 | + | 16.4545i | −0.415406 | + | 0.719504i | −0.995471 | − | 0.0950659i | \(-0.969694\pi\) |
0.580065 | + | 0.814570i | \(0.303027\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 1.00000 | 0.0436436 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 12.0000 | + | 20.7846i | 0.522728 | + | 0.905392i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 11.0000 | + | 19.0526i | 0.478261 | + | 0.828372i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 9.00000 | − | 15.5885i | 0.390567 | − | 0.676481i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 38.5000 | + | 9.52628i | 1.66762 | + | 0.412629i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 17.0000 | − | 29.4449i | 0.734974 | − | 1.27301i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −4.50000 | − | 7.79423i | −0.194189 | − | 0.336346i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −3.00000 | − | 5.19615i | −0.129219 | − | 0.223814i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 30.0000 | 1.28980 | 0.644900 | − | 0.764267i | \(-0.276899\pi\) | ||||
0.644900 | + | 0.764267i | \(0.276899\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −7.00000 | + | 12.1244i | −0.300399 | + | 0.520306i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 20.0000 | 0.856706 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −12.0000 | −0.513083 | −0.256541 | − | 0.966533i | \(-0.582583\pi\) | ||||
−0.256541 | + | 0.966533i | \(0.582583\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −9.00000 | + | 15.5885i | −0.384111 | + | 0.665299i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −21.0000 | −0.894630 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −6.00000 | − | 10.3923i | −0.255146 | − | 0.441926i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −1.00000 | − | 1.73205i | −0.0424476 | − | 0.0735215i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −9.50000 | + | 16.4545i | −0.402528 | + | 0.697199i | −0.994030 | − | 0.109104i | \(-0.965202\pi\) |
0.591502 | + | 0.806303i | \(0.298535\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 27.5000 | − | 28.5788i | 1.16313 | − | 1.20876i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −1.50000 | + | 2.59808i | −0.0633300 | + | 0.109691i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −4.50000 | − | 7.79423i | −0.189652 | − | 0.328488i | 0.755482 | − | 0.655169i | \(-0.227403\pi\) |
−0.945134 | + | 0.326682i | \(0.894069\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −11.0000 | − | 19.0526i | −0.462773 | − | 0.801547i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 1.00000 | 0.0419961 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 8.50000 | − | 14.7224i | 0.356339 | − | 0.617196i | −0.631008 | − | 0.775777i | \(-0.717358\pi\) |
0.987346 | + | 0.158580i | \(0.0506917\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 20.0000 | 0.836974 | 0.418487 | − | 0.908223i | \(-0.362561\pi\) | ||||
0.418487 | + | 0.908223i | \(0.362561\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 7.00000 | 0.292429 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −0.500000 | + | 0.866025i | −0.0208514 | + | 0.0361158i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 22.0000 | 0.915872 | 0.457936 | − | 0.888985i | \(-0.348589\pi\) | ||||
0.457936 | + | 0.888985i | \(0.348589\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −2.50000 | − | 4.33013i | −0.103896 | − | 0.179954i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −2.00000 | − | 3.46410i | −0.0829740 | − | 0.143715i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −3.00000 | + | 5.19615i | −0.124247 | + | 0.215203i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 10.0000 | − | 10.3923i | 0.413449 | − | 0.429669i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 10.5000 | − | 18.1865i | 0.433381 | − | 0.750639i | −0.563781 | − | 0.825925i | \(-0.690654\pi\) |
0.997162 | + | 0.0752860i | \(0.0239870\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −28.0000 | − | 48.4974i | −1.15372 | − | 1.99830i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −6.50000 | − | 11.2583i | −0.267374 | − | 0.463106i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 14.0000 | 0.574911 | 0.287456 | − | 0.957794i | \(-0.407191\pi\) | ||||
0.287456 | + | 0.957794i | \(0.407191\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −3.00000 | + | 5.19615i | −0.122988 | + | 0.213021i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 3.00000 | 0.122782 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 44.0000 | 1.79779 | 0.898896 | − | 0.438163i | \(-0.144371\pi\) | ||||
0.898896 | + | 0.438163i | \(0.144371\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 10.5000 | − | 18.1865i | 0.428304 | − | 0.741844i | −0.568419 | − | 0.822739i | \(-0.692445\pi\) |
0.996723 | + | 0.0808953i | \(0.0257779\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −6.00000 | −0.244339 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 10.0000 | + | 17.3205i | 0.406558 | + | 0.704179i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −6.50000 | − | 11.2583i | −0.263827 | − | 0.456962i | 0.703429 | − | 0.710766i | \(-0.251651\pi\) |
−0.967256 | + | 0.253804i | \(0.918318\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 1.50000 | − | 2.59808i | 0.0607831 | − | 0.105279i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 12.0000 | + | 41.5692i | 0.485468 | + | 1.68171i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −19.5000 | + | 33.7750i | −0.787598 | + | 1.36416i | 0.139837 | + | 0.990174i | \(0.455342\pi\) |
−0.927435 | + | 0.373985i | \(0.877991\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 11.0000 | + | 19.0526i | 0.443563 | + | 0.768273i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −23.5000 | − | 40.7032i | −0.946074 | − | 1.63865i | −0.753586 | − | 0.657350i | \(-0.771677\pi\) |
−0.192489 | − | 0.981299i | \(-0.561656\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 20.0000 | 0.803868 | 0.401934 | − | 0.915669i | \(-0.368338\pi\) | ||||
0.401934 | + | 0.915669i | \(0.368338\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 2.50000 | − | 4.33013i | 0.100322 | − | 0.173762i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −1.00000 | −0.0400642 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −19.0000 | −0.760000 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 3.50000 | − | 6.06218i | 0.139777 | − | 0.242100i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −3.00000 | −0.119618 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 13.5000 | + | 23.3827i | 0.537427 | + | 0.930850i | 0.999042 | + | 0.0437697i | \(0.0139368\pi\) |
−0.461615 | + | 0.887080i | \(0.652730\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −0.500000 | − | 0.866025i | −0.0198732 | − | 0.0344214i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 13.0000 | − | 22.5167i | 0.515889 | − | 0.893546i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −21.0000 | − | 5.19615i | −0.832050 | − | 0.205879i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 5.00000 | − | 8.66025i | 0.197797 | − | 0.342594i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −5.50000 | − | 9.52628i | −0.217237 | − | 0.376265i | 0.736725 | − | 0.676192i | \(-0.236371\pi\) |
−0.953962 | + | 0.299927i | \(0.903038\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 9.50000 | + | 16.4545i | 0.374643 | + | 0.648901i | 0.990274 | − | 0.139134i | \(-0.0444318\pi\) |
−0.615630 | + | 0.788035i | \(0.711098\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 22.0000 | 0.866249 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −1.50000 | + | 2.59808i | −0.0589711 | + | 0.102141i | −0.894004 | − | 0.448059i | \(-0.852115\pi\) |
0.835033 | + | 0.550200i | \(0.185449\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −9.00000 | −0.353281 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 8.00000 | 0.313545 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 4.50000 | − | 7.79423i | 0.176099 | − | 0.305012i | −0.764442 | − | 0.644692i | \(-0.776986\pi\) |
0.940541 | + | 0.339680i | \(0.110319\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −24.0000 | −0.937758 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −2.00000 | − | 3.46410i | −0.0780274 | − | 0.135147i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −14.5000 | − | 25.1147i | −0.564840 | − | 0.978331i | −0.997065 | − | 0.0765653i | \(-0.975605\pi\) |
0.432225 | − | 0.901766i | \(-0.357729\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 12.5000 | − | 21.6506i | 0.486194 | − | 0.842112i | −0.513680 | − | 0.857982i | \(-0.671718\pi\) |
0.999874 | + | 0.0158695i | \(0.00505163\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 3.00000 | + | 10.3923i | 0.116510 | + | 0.403604i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 7.00000 | − | 12.1244i | 0.271448 | − | 0.470162i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 1.50000 | + | 2.59808i | 0.0580802 | + | 0.100598i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −0.500000 | − | 0.866025i | −0.0193311 | − | 0.0334825i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 9.00000 | 0.347441 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −19.5000 | + | 33.7750i | −0.751670 | + | 1.30193i | 0.195343 | + | 0.980735i | \(0.437418\pi\) |
−0.947013 | + | 0.321195i | \(0.895915\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −5.00000 | −0.192450 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −6.00000 | −0.230599 | −0.115299 | − | 0.993331i | \(-0.536783\pi\) | ||||
−0.115299 | + | 0.993331i | \(0.536783\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0.500000 | − | 0.866025i | 0.0191882 | − | 0.0332350i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −1.00000 | −0.0383201 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −4.50000 | − | 7.79423i | −0.172188 | − | 0.298238i | 0.766997 | − | 0.641651i | \(-0.221750\pi\) |
−0.939184 | + | 0.343413i | \(0.888417\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 9.00000 | + | 15.5885i | 0.343872 | + | 0.595604i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −3.00000 | + | 5.19615i | −0.114457 | + | 0.198246i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 6.00000 | + | 20.7846i | 0.228582 | + | 0.791831i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 12.5000 | − | 21.6506i | 0.475522 | − | 0.823629i | −0.524084 | − | 0.851666i | \(-0.675592\pi\) |
0.999607 | + | 0.0280373i | \(0.00892572\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −1.00000 | − | 1.73205i | −0.0379869 | − | 0.0657952i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −9.00000 | − | 15.5885i | −0.341389 | − | 0.591304i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 33.0000 | 1.24996 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −13.0000 | + | 22.5167i | −0.491705 | + | 0.851658i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −22.0000 | −0.830929 | −0.415464 | − | 0.909610i | \(-0.636381\pi\) | ||||
−0.415464 | + | 0.909610i | \(0.636381\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 7.00000 | 0.264010 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −12.0000 | + | 20.7846i | −0.451946 | + | 0.782794i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −17.0000 | −0.639351 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 14.5000 | + | 25.1147i | 0.544559 | + | 0.943204i | 0.998635 | + | 0.0522406i | \(0.0166363\pi\) |
−0.454076 | + | 0.890963i | \(0.650030\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 12.0000 | + | 20.7846i | 0.450035 | + | 0.779484i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −4.00000 | + | 6.92820i | −0.149801 | + | 0.259463i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −7.00000 | − | 1.73205i | −0.261785 | − | 0.0647750i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 12.0000 | − | 20.7846i | 0.448148 | − | 0.776215i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 19.5000 | + | 33.7750i | 0.727227 | + | 1.25959i | 0.958051 | + | 0.286599i | \(0.0925247\pi\) |
−0.230823 | + | 0.972996i | \(0.574142\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −4.00000 | − | 6.92820i | −0.148968 | − | 0.258020i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −11.0000 | −0.409094 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 1.50000 | − | 2.59808i | 0.0557086 | − | 0.0964901i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 8.00000 | 0.296704 | 0.148352 | − | 0.988935i | \(-0.452603\pi\) | ||||
0.148352 | + | 0.988935i | \(0.452603\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 13.0000 | 0.481481 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 16.5000 | − | 28.5788i | 0.610275 | − | 1.05703i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 46.0000 | 1.69905 | 0.849524 | − | 0.527549i | \(-0.176889\pi\) | ||||
0.849524 | + | 0.527549i | \(0.176889\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −6.00000 | − | 10.3923i | −0.221313 | − | 0.383326i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 1.50000 | + | 2.59808i | 0.0552532 | + | 0.0957014i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −5.50000 | + | 9.52628i | −0.202321 | + | 0.350430i | −0.949276 | − | 0.314445i | \(-0.898182\pi\) |
0.746955 | + | 0.664875i | \(0.231515\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −7.00000 | − | 24.2487i | −0.257151 | − | 0.890799i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 14.5000 | − | 25.1147i | 0.531953 | − | 0.921370i | −0.467351 | − | 0.884072i | \(-0.654791\pi\) |
0.999304 | − | 0.0372984i | \(-0.0118752\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 1.00000 | + | 1.73205i | 0.0366372 | + | 0.0634574i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 4.00000 | + | 6.92820i | 0.146352 | + | 0.253490i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −17.0000 | −0.621166 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 8.50000 | − | 14.7224i | 0.310169 | − | 0.537229i | −0.668229 | − | 0.743955i | \(-0.732948\pi\) |
0.978399 | + | 0.206726i | \(0.0662809\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −13.0000 | −0.473746 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −32.0000 | −1.16460 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −23.5000 | + | 40.7032i | −0.854122 | + | 1.47938i | 0.0233351 | + | 0.999728i | \(0.492572\pi\) |
−0.877457 | + | 0.479655i | \(0.840762\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −1.00000 | −0.0362977 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −1.50000 | − | 2.59808i | −0.0543750 | − | 0.0941802i | 0.837557 | − | 0.546350i | \(-0.183983\pi\) |
−0.891932 | + | 0.452170i | \(0.850650\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −5.00000 | − | 8.66025i | −0.181012 | − | 0.313522i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 6.00000 | − | 10.3923i | 0.216930 | − | 0.375735i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −22.5000 | + | 23.3827i | −0.812428 | + | 0.844300i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 2.50000 | − | 4.33013i | 0.0901523 | − | 0.156148i | −0.817423 | − | 0.576038i | \(-0.804598\pi\) |
0.907575 | + | 0.419890i | \(0.137931\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −6.50000 | − | 11.2583i | −0.234092 | − | 0.405459i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −1.50000 | − | 2.59808i | −0.0539513 | − | 0.0934463i | 0.837788 | − | 0.545995i | \(-0.183848\pi\) |
−0.891740 | + | 0.452549i | \(0.850515\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 8.00000 | 0.287368 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −0.500000 | + | 0.866025i | −0.0179374 | + | 0.0310685i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −77.0000 | −2.75881 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −5.00000 | −0.178914 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −7.50000 | + | 12.9904i | −0.268028 | + | 0.464238i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 20.0000 | 0.713831 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −10.5000 | − | 18.1865i | −0.374285 | − | 0.648280i | 0.615935 | − | 0.787797i | \(-0.288778\pi\) |
−0.990220 | + | 0.139517i | \(0.955445\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 15.5000 | + | 26.8468i | 0.551815 | + | 0.955771i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −5.50000 | + | 9.52628i | −0.195557 | + | 0.338716i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 22.5000 | − | 23.3827i | 0.798998 | − | 0.830344i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −6.00000 | + | 10.3923i | −0.212798 | + | 0.368577i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −11.5000 | − | 19.9186i | −0.407351 | − | 0.705552i | 0.587241 | − | 0.809412i | \(-0.300214\pi\) |
−0.994592 | + | 0.103860i | \(0.966881\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 18.0000 | + | 31.1769i | 0.636794 | + | 1.10296i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 2.00000 | 0.0706665 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −1.00000 | + | 1.73205i | −0.0352892 | + | 0.0611227i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −2.00000 | −0.0704907 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 5.00000 | 0.176008 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −13.5000 | + | 23.3827i | −0.474635 | + | 0.822091i | −0.999578 | − | 0.0290457i | \(-0.990753\pi\) |
0.524943 | + | 0.851137i | \(0.324086\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −32.0000 | −1.12367 | −0.561836 | − | 0.827249i | \(-0.689905\pi\) | ||||
−0.561836 | + | 0.827249i | \(0.689905\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 3.50000 | + | 6.06218i | 0.122750 | + | 0.212610i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −5.00000 | − | 8.66025i | −0.175142 | − | 0.303355i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −38.5000 | + | 66.6840i | −1.34694 | + | 2.33298i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −7.00000 | − | 1.73205i | −0.244600 | − | 0.0605228i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 2.50000 | − | 4.33013i | 0.0872506 | − | 0.151122i | −0.819097 | − | 0.573654i | \(-0.805525\pi\) |
0.906348 | + | 0.422532i | \(0.138859\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −14.5000 | − | 25.1147i | −0.505438 | − | 0.875445i | −0.999980 | − | 0.00629095i | \(-0.997998\pi\) |
0.494542 | − | 0.869154i | \(-0.335336\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0.500000 | + | 0.866025i | 0.0174078 | + | 0.0301511i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −20.0000 | −0.695468 | −0.347734 | − | 0.937593i | \(-0.613049\pi\) | ||||
−0.347734 | + | 0.937593i | \(0.613049\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −1.50000 | + | 2.59808i | −0.0520972 | + | 0.0902349i | −0.890898 | − | 0.454204i | \(-0.849924\pi\) |
0.838801 | + | 0.544438i | \(0.183257\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 21.0000 | 0.728482 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −18.0000 | −0.623663 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −7.00000 | + | 12.1244i | −0.242245 | + | 0.419581i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −40.0000 | −1.38260 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 13.5000 | + | 23.3827i | 0.466072 | + | 0.807260i | 0.999249 | − | 0.0387435i | \(-0.0123355\pi\) |
−0.533177 | + | 0.846003i | \(0.679002\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 10.0000 | + | 17.3205i | 0.344828 | + | 0.597259i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 7.00000 | − | 12.1244i | 0.241093 | − | 0.417585i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −22.0000 | + | 13.8564i | −0.756823 | + | 0.476675i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 5.00000 | − | 8.66025i | 0.171802 | − | 0.297570i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −12.5000 | − | 21.6506i | −0.428999 | − | 0.743048i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −0.500000 | − | 0.866025i | −0.0171398 | − | 0.0296870i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 10.0000 | 0.342393 | 0.171197 | − | 0.985237i | \(-0.445237\pi\) | ||||
0.171197 | + | 0.985237i | \(0.445237\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −14.0000 | + | 24.2487i | −0.478790 | + | 0.829288i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −18.0000 | −0.614868 | −0.307434 | − | 0.951569i | \(-0.599470\pi\) | ||||
−0.307434 | + | 0.951569i | \(0.599470\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −20.0000 | −0.682391 | −0.341196 | − | 0.939992i | \(-0.610832\pi\) | ||||
−0.341196 | + | 0.939992i | \(0.610832\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 5.50000 | − | 9.52628i | 0.187439 | − | 0.324655i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 16.0000 | 0.544646 | 0.272323 | − | 0.962206i | \(-0.412208\pi\) | ||||
0.272323 | + | 0.962206i | \(0.412208\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 9.00000 | + | 15.5885i | 0.306009 | + | 0.530023i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −4.00000 | − | 6.92820i | −0.135847 | − | 0.235294i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 6.00000 | − | 10.3923i | 0.203536 | − | 0.352535i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 10.5000 | + | 2.59808i | 0.355779 | + | 0.0880325i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −1.00000 | + | 1.73205i | −0.0338449 | + | 0.0586210i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 6.00000 | + | 10.3923i | 0.202837 | + | 0.351324i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 0.500000 | + | 0.866025i | 0.0168838 | + | 0.0292436i | 0.874344 | − | 0.485307i | \(-0.161292\pi\) |
−0.857460 | + | 0.514551i | \(0.827959\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 9.00000 | 0.303562 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 22.5000 | − | 38.9711i | 0.758044 | − | 1.31297i | −0.185802 | − | 0.982587i | \(-0.559488\pi\) |
0.943847 | − | 0.330384i | \(-0.107178\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 12.0000 | 0.403832 | 0.201916 | − | 0.979403i | \(-0.435283\pi\) | ||||
0.201916 | + | 0.979403i | \(0.435283\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −18.0000 | −0.605063 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −13.5000 | + | 23.3827i | −0.453286 | + | 0.785114i | −0.998588 | − | 0.0531258i | \(-0.983082\pi\) |
0.545302 | + | 0.838240i | \(0.316415\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −13.0000 | −0.436006 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0.500000 | + | 0.866025i | 0.0167506 | + | 0.0290129i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −42.0000 | − | 72.7461i | −1.40548 | − | 2.43436i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 9.00000 | − | 15.5885i | 0.300837 | − | 0.521065i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −2.50000 | + | 2.59808i | −0.0834726 | + | 0.0867472i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 12.0000 | − | 20.7846i | 0.400222 | − | 0.693206i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 9.00000 | + | 15.5885i | 0.299833 | + | 0.519327i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −5.50000 | − | 9.52628i | −0.183029 | − | 0.317015i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −28.0000 | −0.930751 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 12.5000 | − | 21.6506i | 0.415056 | − | 0.718898i | −0.580379 | − | 0.814347i | \(-0.697095\pi\) |
0.995434 | + | 0.0954492i | \(0.0304288\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 34.0000 | 1.12771 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 16.0000 | 0.530104 | 0.265052 | − | 0.964234i | \(-0.414611\pi\) | ||||
0.265052 | + | 0.964234i | \(0.414611\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 2.00000 | − | 3.46410i | 0.0661903 | − | 0.114645i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 18.0000 | 0.595062 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 6.00000 | + | 10.3923i | 0.198137 | + | 0.343184i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 7.50000 | + | 12.9904i | 0.247402 | + | 0.428513i | 0.962804 | − | 0.270200i | \(-0.0870898\pi\) |
−0.715402 | + | 0.698713i | \(0.753756\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 10.0000 | − | 17.3205i | 0.329511 | − | 0.570730i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −12.5000 | + | 12.9904i | −0.411443 | + | 0.427584i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −0.500000 | + | 0.866025i | −0.0164399 | + | 0.0284747i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 8.00000 | + | 13.8564i | 0.262754 | + | 0.455104i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 2.50000 | + | 4.33013i | 0.0820223 | + | 0.142067i | 0.904118 | − | 0.427282i | \(-0.140529\pi\) |
−0.822096 | + | 0.569349i | \(0.807195\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 42.0000 | 1.37649 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −4.00000 | + | 6.92820i | −0.130954 | + | 0.226819i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −6.00000 | −0.196221 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −2.00000 | −0.0653372 | −0.0326686 | − | 0.999466i | \(-0.510401\pi\) | ||||
−0.0326686 | + | 0.999466i | \(0.510401\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 15.0000 | − | 25.9808i | 0.489506 | − | 0.847850i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 14.0000 | 0.456387 | 0.228193 | − | 0.973616i | \(-0.426718\pi\) | ||||
0.228193 | + | 0.973616i | \(0.426718\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 5.50000 | + | 9.52628i | 0.179105 | + | 0.310218i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −5.00000 | − | 8.66025i | −0.162650 | − | 0.281718i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −19.5000 | + | 33.7750i | −0.633665 | + | 1.09754i | 0.353131 | + | 0.935574i | \(0.385117\pi\) |
−0.986796 | + | 0.161966i | \(0.948217\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 2.00000 | + | 6.92820i | 0.0649227 | + | 0.224899i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −1.00000 | + | 1.73205i | −0.0324272 | + | 0.0561656i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 4.50000 | + | 7.79423i | 0.145769 | + | 0.252480i | 0.929660 | − | 0.368419i | \(-0.120101\pi\) |
−0.783890 | + | 0.620899i | \(0.786768\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 7.00000 | + | 12.1244i | 0.226515 | + | 0.392335i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 3.00000 | 0.0969762 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 4.50000 | − | 7.79423i | 0.145313 | − | 0.251689i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 33.0000 | 1.06452 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 34.0000 | 1.09563 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 5.00000 | − | 8.66025i | 0.160956 | − | 0.278783i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 16.0000 | 0.514525 | 0.257263 | − | 0.966342i | \(-0.417179\pi\) | ||||
0.257263 | + | 0.966342i | \(0.417179\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −10.5000 | − | 18.1865i | −0.337309 | − | 0.584236i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 13.5000 | + | 23.3827i | 0.433236 | + | 0.750386i | 0.997150 | − | 0.0754473i | \(-0.0240385\pi\) |
−0.563914 | + | 0.825833i | \(0.690705\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −4.50000 | + | 7.79423i | −0.144263 | + | 0.249871i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 3.50000 | + | 0.866025i | 0.112090 | + | 0.0277350i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 4.50000 | − | 7.79423i | 0.143968 | − | 0.249359i | −0.785020 | − | 0.619471i | \(-0.787347\pi\) |
0.928987 | + | 0.370111i | \(0.120681\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −0.500000 | − | 0.866025i | −0.0159801 | − | 0.0276783i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 10.0000 | + | 17.3205i | 0.319275 | + | 0.553001i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −32.0000 | −1.02064 | −0.510321 | − | 0.859984i | \(-0.670473\pi\) | ||||
−0.510321 | + | 0.859984i | \(0.670473\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 13.0000 | − | 22.5167i | 0.414214 | − | 0.717440i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 12.0000 | 0.381964 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 11.0000 | 0.349780 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 6.50000 | − | 11.2583i | 0.206479 | − | 0.357633i | −0.744124 | − | 0.668042i | \(-0.767133\pi\) |
0.950603 | + | 0.310409i | \(0.100466\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 27.0000 | 0.856819 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 3.00000 | + | 5.19615i | 0.0951064 | + | 0.164729i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 12.5000 | + | 21.6506i | 0.395879 | + | 0.685682i | 0.993213 | − | 0.116310i | \(-0.0371066\pi\) |
−0.597334 | + | 0.801993i | \(0.703773\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 2.50000 | − | 4.33013i | 0.0790965 | − | 0.136999i |
(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 | 208.2.i.c.113.1 | 2 | ||
3.2 | odd | 2 | 1872.2.t.d.1153.1 | 2 | |||
4.3 | odd | 2 | 104.2.i.a.9.1 | ✓ | 2 | ||
8.3 | odd | 2 | 832.2.i.g.321.1 | 2 | |||
8.5 | even | 2 | 832.2.i.d.321.1 | 2 | |||
12.11 | even | 2 | 936.2.t.c.217.1 | 2 | |||
13.3 | even | 3 | inner | 208.2.i.c.81.1 | 2 | ||
13.4 | even | 6 | 2704.2.a.c.1.1 | 1 | |||
13.6 | odd | 12 | 2704.2.f.c.337.1 | 2 | |||
13.7 | odd | 12 | 2704.2.f.c.337.2 | 2 | |||
13.9 | even | 3 | 2704.2.a.e.1.1 | 1 | |||
39.29 | odd | 6 | 1872.2.t.d.289.1 | 2 | |||
52.3 | odd | 6 | 104.2.i.a.81.1 | yes | 2 | ||
52.7 | even | 12 | 1352.2.f.a.337.2 | 2 | |||
52.11 | even | 12 | 1352.2.o.b.361.2 | 4 | |||
52.15 | even | 12 | 1352.2.o.b.361.1 | 4 | |||
52.19 | even | 12 | 1352.2.f.a.337.1 | 2 | |||
52.23 | odd | 6 | 1352.2.i.a.1329.1 | 2 | |||
52.31 | even | 4 | 1352.2.o.b.1161.1 | 4 | |||
52.35 | odd | 6 | 1352.2.a.c.1.1 | 1 | |||
52.43 | odd | 6 | 1352.2.a.a.1.1 | 1 | |||
52.47 | even | 4 | 1352.2.o.b.1161.2 | 4 | |||
52.51 | odd | 2 | 1352.2.i.a.529.1 | 2 | |||
104.3 | odd | 6 | 832.2.i.g.705.1 | 2 | |||
104.29 | even | 6 | 832.2.i.d.705.1 | 2 | |||
156.107 | even | 6 | 936.2.t.c.289.1 | 2 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
104.2.i.a.9.1 | ✓ | 2 | 4.3 | odd | 2 | ||
104.2.i.a.81.1 | yes | 2 | 52.3 | odd | 6 | ||
208.2.i.c.81.1 | 2 | 13.3 | even | 3 | inner | ||
208.2.i.c.113.1 | 2 | 1.1 | even | 1 | trivial | ||
832.2.i.d.321.1 | 2 | 8.5 | even | 2 | |||
832.2.i.d.705.1 | 2 | 104.29 | even | 6 | |||
832.2.i.g.321.1 | 2 | 8.3 | odd | 2 | |||
832.2.i.g.705.1 | 2 | 104.3 | odd | 6 | |||
936.2.t.c.217.1 | 2 | 12.11 | even | 2 | |||
936.2.t.c.289.1 | 2 | 156.107 | even | 6 | |||
1352.2.a.a.1.1 | 1 | 52.43 | odd | 6 | |||
1352.2.a.c.1.1 | 1 | 52.35 | odd | 6 | |||
1352.2.f.a.337.1 | 2 | 52.19 | even | 12 | |||
1352.2.f.a.337.2 | 2 | 52.7 | even | 12 | |||
1352.2.i.a.529.1 | 2 | 52.51 | odd | 2 | |||
1352.2.i.a.1329.1 | 2 | 52.23 | odd | 6 | |||
1352.2.o.b.361.1 | 4 | 52.15 | even | 12 | |||
1352.2.o.b.361.2 | 4 | 52.11 | even | 12 | |||
1352.2.o.b.1161.1 | 4 | 52.31 | even | 4 | |||
1352.2.o.b.1161.2 | 4 | 52.47 | even | 4 | |||
1872.2.t.d.289.1 | 2 | 39.29 | odd | 6 | |||
1872.2.t.d.1153.1 | 2 | 3.2 | odd | 2 | |||
2704.2.a.c.1.1 | 1 | 13.4 | even | 6 | |||
2704.2.a.e.1.1 | 1 | 13.9 | even | 3 | |||
2704.2.f.c.337.1 | 2 | 13.6 | odd | 12 | |||
2704.2.f.c.337.2 | 2 | 13.7 | odd | 12 |