Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [28,3,Mod(5,28)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(28, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 5]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("28.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 28 = 2^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 28.h (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.762944740209\) |
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: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 5.1 | ||
Root | \(0.500000 - 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 28.5 |
Dual form | 28.3.h.a.17.1 |
$q$-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 \(\left(\mathbb{Z}/28\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(17\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 1.50000 | − | 0.866025i | 0.500000 | − | 0.288675i | −0.228714 | − | 0.973494i | \(-0.573452\pi\) |
0.728714 | + | 0.684819i | \(0.240119\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.50000 | + | 0.866025i | 0.300000 | + | 0.173205i | 0.642443 | − | 0.766334i | \(-0.277921\pi\) |
−0.342443 | + | 0.939539i | \(0.611254\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −7.00000 | −1.00000 | ||||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −3.00000 | + | 5.19615i | −0.333333 | + | 0.577350i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −7.50000 | − | 12.9904i | −0.681818 | − | 1.18094i | −0.974425 | − | 0.224711i | \(-0.927856\pi\) |
0.292607 | − | 0.956233i | \(-0.405477\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 13.8564i | 1.06588i | 0.846154 | + | 0.532939i | \(0.178912\pi\) | ||||
−0.846154 | + | 0.532939i | \(0.821088\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 3.00000 | 0.200000 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 25.5000 | − | 14.7224i | 1.50000 | − | 0.866025i | 0.500000 | − | 0.866025i | \(-0.333333\pi\) |
1.00000 | \(0\) | |||||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 13.5000 | + | 7.79423i | 0.710526 | + | 0.410223i | 0.811256 | − | 0.584691i | \(-0.198784\pi\) |
−0.100730 | + | 0.994914i | \(0.532118\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −10.5000 | + | 6.06218i | −0.500000 | + | 0.288675i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 4.50000 | − | 7.79423i | 0.195652 | − | 0.338880i | −0.751462 | − | 0.659776i | \(-0.770651\pi\) |
0.947114 | + | 0.320897i | \(0.103984\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −11.0000 | − | 19.0526i | −0.440000 | − | 0.762102i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 25.9808i | 0.962250i | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −6.00000 | −0.206897 | −0.103448 | − | 0.994635i | \(-0.532988\pi\) | ||||
−0.103448 | + | 0.994635i | \(0.532988\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −10.5000 | + | 6.06218i | −0.338710 | + | 0.195554i | −0.659701 | − | 0.751528i | \(-0.729317\pi\) |
0.320992 | + | 0.947082i | \(0.395984\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −22.5000 | − | 12.9904i | −0.681818 | − | 0.393648i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −10.5000 | − | 6.06218i | −0.300000 | − | 0.173205i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −15.5000 | + | 26.8468i | −0.418919 | + | 0.725589i | −0.995831 | − | 0.0912174i | \(-0.970924\pi\) |
0.576912 | + | 0.816806i | \(0.304258\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 12.0000 | + | 20.7846i | 0.307692 | + | 0.532939i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | − | 55.4256i | − | 1.35184i | −0.736973 | − | 0.675922i | \(-0.763745\pi\) | ||
0.736973 | − | 0.675922i | \(-0.236255\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 10.0000 | 0.232558 | 0.116279 | − | 0.993217i | \(-0.462903\pi\) | ||||
0.116279 | + | 0.993217i | \(0.462903\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −9.00000 | + | 5.19615i | −0.200000 | + | 0.115470i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 37.5000 | + | 21.6506i | 0.797872 | + | 0.460652i | 0.842727 | − | 0.538342i | \(-0.180949\pi\) |
−0.0448543 | + | 0.998994i | \(0.514282\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 49.0000 | 1.00000 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 25.5000 | − | 44.1673i | 0.500000 | − | 0.866025i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 28.5000 | + | 49.3634i | 0.537736 | + | 0.931386i | 0.999026 | + | 0.0441362i | \(0.0140536\pi\) |
−0.461290 | + | 0.887250i | \(0.652613\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 25.9808i | − | 0.472377i | ||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 27.0000 | 0.473684 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −70.5000 | + | 40.7032i | −1.19492 | + | 0.689885i | −0.959417 | − | 0.281990i | \(-0.909005\pi\) |
−0.235498 | + | 0.971875i | \(0.575672\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −70.5000 | − | 40.7032i | −1.15574 | − | 0.667265i | −0.205459 | − | 0.978666i | \(-0.565869\pi\) |
−0.950279 | + | 0.311400i | \(0.899202\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 21.0000 | − | 36.3731i | 0.333333 | − | 0.577350i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −12.0000 | + | 20.7846i | −0.184615 | + | 0.319763i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 24.5000 | + | 42.4352i | 0.365672 | + | 0.633362i | 0.988884 | − | 0.148691i | \(-0.0475060\pi\) |
−0.623212 | + | 0.782053i | \(0.714173\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | − | 15.5885i | − | 0.225920i | ||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −126.000 | −1.77465 | −0.887324 | − | 0.461147i | \(-0.847438\pi\) | ||||
−0.887324 | + | 0.461147i | \(0.847438\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −22.5000 | + | 12.9904i | −0.308219 | + | 0.177950i | −0.646129 | − | 0.763228i | \(-0.723613\pi\) |
0.337910 | + | 0.941178i | \(0.390280\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −33.0000 | − | 19.0526i | −0.440000 | − | 0.254034i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 52.5000 | + | 90.9327i | 0.681818 | + | 1.18094i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 36.5000 | − | 63.2199i | 0.462025 | − | 0.800251i | −0.537036 | − | 0.843559i | \(-0.680456\pi\) |
0.999062 | + | 0.0433077i | \(0.0137896\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −4.50000 | − | 7.79423i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | − | 13.8564i | − | 0.166945i | −0.996510 | − | 0.0834723i | \(-0.973399\pi\) | ||
0.996510 | − | 0.0834723i | \(-0.0266010\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 51.0000 | 0.600000 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −9.00000 | + | 5.19615i | −0.103448 | + | 0.0597259i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 49.5000 | + | 28.5788i | 0.556180 | + | 0.321111i | 0.751611 | − | 0.659607i | \(-0.229277\pi\) |
−0.195431 | + | 0.980717i | \(0.562611\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | − | 96.9948i | − | 1.06588i | ||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −10.5000 | + | 18.1865i | −0.112903 | + | 0.195554i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 13.5000 | + | 23.3827i | 0.142105 | + | 0.246134i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 27.7128i | 0.285699i | 0.989744 | + | 0.142850i | \(0.0456265\pi\) | ||||
−0.989744 | + | 0.142850i | \(0.954373\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 90.0000 | 0.909091 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 85.5000 | − | 49.3634i | 0.846535 | − | 0.488747i | −0.0129455 | − | 0.999916i | \(-0.504121\pi\) |
0.859480 | + | 0.511169i | \(0.170787\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 61.5000 | + | 35.5070i | 0.597087 | + | 0.344729i | 0.767895 | − | 0.640576i | \(-0.221304\pi\) |
−0.170808 | + | 0.985304i | \(0.554638\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −21.0000 | −0.200000 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −19.5000 | + | 33.7750i | −0.182243 | + | 0.315654i | −0.942644 | − | 0.333800i | \(-0.891669\pi\) |
0.760401 | + | 0.649454i | \(0.225002\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −51.5000 | − | 89.2006i | −0.472477 | − | 0.818354i | 0.527027 | − | 0.849849i | \(-0.323307\pi\) |
−0.999504 | + | 0.0314943i | \(0.989973\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 53.6936i | 0.483726i | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −78.0000 | −0.690265 | −0.345133 | − | 0.938554i | \(-0.612166\pi\) | ||||
−0.345133 | + | 0.938554i | \(0.612166\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 13.5000 | − | 7.79423i | 0.117391 | − | 0.0677759i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −72.0000 | − | 41.5692i | −0.615385 | − | 0.355292i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −178.500 | + | 103.057i | −1.50000 | + | 0.866025i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −52.0000 | + | 90.0666i | −0.429752 | + | 0.744352i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −48.0000 | − | 83.1384i | −0.390244 | − | 0.675922i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | − | 81.4064i | − | 0.651251i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 50.0000 | 0.393701 | 0.196850 | − | 0.980434i | \(-0.436929\pi\) | ||||
0.196850 | + | 0.980434i | \(0.436929\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 15.0000 | − | 8.66025i | 0.116279 | − | 0.0671338i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 85.5000 | + | 49.3634i | 0.652672 | + | 0.376820i | 0.789479 | − | 0.613777i | \(-0.210351\pi\) |
−0.136807 | + | 0.990598i | \(0.543684\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −94.5000 | − | 54.5596i | −0.710526 | − | 0.410223i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −22.5000 | + | 38.9711i | −0.166667 | + | 0.288675i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −31.5000 | − | 54.5596i | −0.229927 | − | 0.398245i | 0.727859 | − | 0.685727i | \(-0.240515\pi\) |
−0.957786 | + | 0.287481i | \(0.907182\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 235.559i | 1.69467i | 0.531060 | + | 0.847334i | \(0.321794\pi\) | ||||
−0.531060 | + | 0.847334i | \(0.678206\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 75.0000 | 0.531915 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 180.000 | − | 103.923i | 1.25874 | − | 0.726735i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −9.00000 | − | 5.19615i | −0.0620690 | − | 0.0358355i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 73.5000 | − | 42.4352i | 0.500000 | − | 0.288675i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 88.5000 | − | 153.286i | 0.593960 | − | 1.02877i | −0.399733 | − | 0.916632i | \(-0.630897\pi\) |
0.993693 | − | 0.112137i | \(-0.0357695\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −27.5000 | − | 47.6314i | −0.182119 | − | 0.315440i | 0.760483 | − | 0.649358i | \(-0.224962\pi\) |
−0.942602 | + | 0.333918i | \(0.891629\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 176.669i | 1.15470i | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −21.0000 | −0.135484 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 85.5000 | − | 49.3634i | 0.544586 | − | 0.314417i | −0.202350 | − | 0.979313i | \(-0.564858\pi\) |
0.746935 | + | 0.664897i | \(0.231524\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 85.5000 | + | 49.3634i | 0.537736 | + | 0.310462i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −31.5000 | + | 54.5596i | −0.195652 | + | 0.338880i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −11.5000 | + | 19.9186i | −0.0705521 | + | 0.122200i | −0.899143 | − | 0.437654i | \(-0.855809\pi\) |
0.828591 | + | 0.559854i | \(0.189143\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −22.5000 | − | 38.9711i | −0.136364 | − | 0.236189i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | − | 277.128i | − | 1.65945i | −0.558172 | − | 0.829725i | \(-0.688497\pi\) | ||
0.558172 | − | 0.829725i | \(-0.311503\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −23.0000 | −0.136095 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −81.0000 | + | 46.7654i | −0.473684 | + | 0.273482i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 121.500 | + | 70.1481i | 0.702312 | + | 0.405480i | 0.808208 | − | 0.588897i | \(-0.200438\pi\) |
−0.105896 | + | 0.994377i | \(0.533771\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 77.0000 | + | 133.368i | 0.440000 | + | 0.762102i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −70.5000 | + | 122.110i | −0.398305 | + | 0.689885i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −31.5000 | − | 54.5596i | −0.175978 | − | 0.304802i | 0.764522 | − | 0.644598i | \(-0.222975\pi\) |
−0.940499 | + | 0.339796i | \(0.889642\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 124.708i | 0.688993i | 0.938788 | + | 0.344496i | \(0.111950\pi\) | ||||
−0.938788 | + | 0.344496i | \(0.888050\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −141.000 | −0.770492 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −46.5000 | + | 26.8468i | −0.251351 | + | 0.145118i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −382.500 | − | 220.836i | −2.04545 | − | 1.18094i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | − | 181.865i | − | 0.962250i | ||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 28.5000 | − | 49.3634i | 0.149215 | − | 0.258447i | −0.781723 | − | 0.623626i | \(-0.785659\pi\) |
0.930937 | + | 0.365179i | \(0.118992\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 104.500 | + | 180.999i | 0.541451 | + | 0.937820i | 0.998821 | + | 0.0485439i | \(0.0154581\pi\) |
−0.457370 | + | 0.889276i | \(0.651209\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 41.5692i | 0.213175i | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −150.000 | −0.761421 | −0.380711 | − | 0.924694i | \(-0.624321\pi\) | ||||
−0.380711 | + | 0.924694i | \(0.624321\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −178.500 | + | 103.057i | −0.896985 | + | 0.517874i | −0.876221 | − | 0.481910i | \(-0.839943\pi\) |
−0.0207642 | + | 0.999784i | \(0.506610\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 73.5000 | + | 42.4352i | 0.365672 | + | 0.211121i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 42.0000 | 0.206897 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 48.0000 | − | 83.1384i | 0.234146 | − | 0.405553i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 27.0000 | + | 46.7654i | 0.130435 | + | 0.225920i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | − | 233.827i | − | 1.11879i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 346.000 | 1.63981 | 0.819905 | − | 0.572499i | \(-0.194026\pi\) | ||||
0.819905 | + | 0.572499i | \(0.194026\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −189.000 | + | 109.119i | −0.887324 | + | 0.512297i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 15.0000 | + | 8.66025i | 0.0697674 | + | 0.0402803i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 73.5000 | − | 42.4352i | 0.338710 | − | 0.195554i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −22.5000 | + | 38.9711i | −0.102740 | + | 0.177950i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 204.000 | + | 353.338i | 0.923077 | + | 1.59882i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | − | 332.554i | − | 1.49127i | −0.666353 | − | 0.745636i | \(-0.732146\pi\) | ||
0.666353 | − | 0.745636i | \(-0.267854\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 132.000 | 0.586667 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 121.500 | − | 70.1481i | 0.535242 | − | 0.309022i | −0.207906 | − | 0.978149i | \(-0.566665\pi\) |
0.743149 | + | 0.669126i | \(0.233332\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 145.500 | + | 84.0045i | 0.635371 | + | 0.366832i | 0.782829 | − | 0.622237i | \(-0.213776\pi\) |
−0.147458 | + | 0.989068i | \(0.547109\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 157.500 | + | 90.9327i | 0.681818 | + | 0.393648i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 136.500 | − | 236.425i | 0.585837 | − | 1.01470i | −0.408934 | − | 0.912564i | \(-0.634099\pi\) |
0.994771 | − | 0.102135i | \(-0.0325674\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 37.5000 | + | 64.9519i | 0.159574 | + | 0.276391i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | − | 126.440i | − | 0.533501i | ||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −222.000 | −0.928870 | −0.464435 | − | 0.885607i | \(-0.653743\pi\) | ||||
−0.464435 | + | 0.885607i | \(0.653743\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −190.500 | + | 109.985i | −0.790456 | + | 0.456370i | −0.840123 | − | 0.542396i | \(-0.817517\pi\) |
0.0496668 | + | 0.998766i | \(0.484184\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −216.000 | − | 124.708i | −0.888889 | − | 0.513200i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 73.5000 | + | 42.4352i | 0.300000 | + | 0.173205i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −108.000 | + | 187.061i | −0.437247 | + | 0.757334i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −12.0000 | − | 20.7846i | −0.0481928 | − | 0.0834723i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 96.9948i | 0.386434i | 0.981156 | + | 0.193217i | \(0.0618921\pi\) | ||||
−0.981156 | + | 0.193217i | \(0.938108\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −135.000 | −0.533597 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 76.5000 | − | 44.1673i | 0.300000 | − | 0.173205i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −166.500 | − | 96.1288i | −0.647860 | − | 0.374042i | 0.139776 | − | 0.990183i | \(-0.455362\pi\) |
−0.787636 | + | 0.616141i | \(0.788695\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 108.500 | − | 187.928i | 0.418919 | − | 0.725589i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 18.0000 | − | 31.1769i | 0.0689655 | − | 0.119452i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 76.5000 | + | 132.502i | 0.290875 | + | 0.503809i | 0.974017 | − | 0.226476i | \(-0.0727204\pi\) |
−0.683142 | + | 0.730285i | \(0.739387\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 98.7269i | 0.372554i | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 99.0000 | 0.370787 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −394.500 | + | 227.765i | −1.46654 | + | 0.846709i | −0.999300 | − | 0.0374200i | \(-0.988086\pi\) |
−0.467243 | + | 0.884129i | \(0.654753\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 61.5000 | + | 35.5070i | 0.226937 | + | 0.131022i | 0.609158 | − | 0.793049i | \(-0.291507\pi\) |
−0.382221 | + | 0.924071i | \(0.624841\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −84.0000 | − | 145.492i | −0.307692 | − | 0.532939i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −165.000 | + | 285.788i | −0.600000 | + | 1.03923i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −179.500 | − | 310.903i | −0.648014 | − | 1.12239i | −0.983596 | − | 0.180383i | \(-0.942266\pi\) |
0.335582 | − | 0.942011i | \(-0.391067\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | − | 72.7461i | − | 0.260739i | ||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −222.000 | −0.790036 | −0.395018 | − | 0.918673i | \(-0.629262\pi\) | ||||
−0.395018 | + | 0.918673i | \(0.629262\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 1.50000 | − | 0.866025i | 0.00530035 | − | 0.00306016i | −0.497347 | − | 0.867551i | \(-0.665693\pi\) |
0.502648 | + | 0.864491i | \(0.332359\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 40.5000 | + | 23.3827i | 0.142105 | + | 0.0820445i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 387.979i | 1.35184i | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 289.000 | − | 500.563i | 1.00000 | − | 1.73205i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 24.0000 | + | 41.5692i | 0.0824742 | + | 0.142850i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 235.559i | 0.803955i | 0.915649 | + | 0.401978i | \(0.131677\pi\) | ||||
−0.915649 | + | 0.401978i | \(0.868323\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −141.000 | −0.477966 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 337.500 | − | 194.856i | 1.13636 | − | 0.656080i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 108.000 | + | 62.3538i | 0.361204 | + | 0.208541i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −70.0000 | −0.232558 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 85.5000 | − | 148.090i | 0.282178 | − | 0.488747i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −70.5000 | − | 122.110i | −0.231148 | − | 0.400359i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 96.9948i | 0.315944i | 0.987444 | + | 0.157972i | \(0.0504956\pi\) | ||||
−0.987444 | + | 0.157972i | \(0.949504\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 123.000 | 0.398058 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 421.500 | − | 243.353i | 1.35531 | − | 0.782486i | 0.366319 | − | 0.930489i | \(-0.380618\pi\) |
0.988987 | + | 0.148003i | \(0.0472847\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 193.500 | + | 111.717i | 0.618211 | + | 0.356924i | 0.776172 | − | 0.630521i | \(-0.217159\pi\) |
−0.157961 | + | 0.987445i | \(0.550492\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 63.0000 | − | 36.3731i | 0.200000 | − | 0.115470i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −223.500 | + | 387.113i | −0.705047 | + | 1.22118i | 0.261627 | + | 0.965169i | \(0.415741\pi\) |
−0.966674 | + | 0.256009i | \(0.917592\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 45.0000 | + | 77.9423i | 0.141066 | + | 0.244333i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 67.5500i | 0.210436i | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 459.000 | 1.42105 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 264.000 | − | 152.420i | 0.812308 | − | 0.468986i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −154.500 | − | 89.2006i | −0.472477 | − | 0.272785i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −262.500 | − | 151.554i | −0.797872 | − | 0.460652i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −75.5000 | + | 130.770i | −0.228097 | + | 0.395075i | −0.957244 | − | 0.289282i | \(-0.906584\pi\) |
0.729147 | + | 0.684357i | \(0.239917\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −93.0000 | − | 161.081i | −0.279279 | − | 0.483726i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 84.8705i | 0.253345i | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 274.000 | 0.813056 | 0.406528 | − | 0.913638i | \(-0.366739\pi\) | ||||
0.406528 | + | 0.913638i | \(0.366739\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −117.000 | + | 67.5500i | −0.345133 | + | 0.199262i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 157.500 | + | 90.9327i | 0.461877 | + | 0.266665i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −343.000 | −1.00000 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 13.5000 | − | 23.3827i | 0.0391304 | − | 0.0677759i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −271.500 | − | 470.252i | −0.782421 | − | 1.35519i | −0.930528 | − | 0.366221i | \(-0.880651\pi\) |
0.148107 | − | 0.988971i | \(-0.452682\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 180.133i | 0.516141i | 0.966126 | + | 0.258071i | \(0.0830867\pi\) | ||||
−0.966126 | + | 0.258071i | \(0.916913\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −360.000 | −1.02564 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −262.500 | + | 151.554i | −0.743626 | + | 0.429333i | −0.823386 | − | 0.567481i | \(-0.807918\pi\) |
0.0797602 | + | 0.996814i | \(0.474585\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −189.000 | − | 109.119i | −0.532394 | − | 0.307378i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −178.500 | + | 309.171i | −0.500000 | + | 0.866025i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −19.5000 | + | 33.7750i | −0.0543175 | + | 0.0940808i | −0.891906 | − | 0.452221i | \(-0.850632\pi\) |
0.837588 | + | 0.546302i | \(0.183965\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −59.0000 | − | 102.191i | −0.163435 | − | 0.283078i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 180.133i | 0.496235i | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −45.0000 | −0.123288 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 301.500 | − | 174.071i | 0.821526 | − | 0.474308i | −0.0294165 | − | 0.999567i | \(-0.509365\pi\) |
0.850942 | + | 0.525259i | \(0.176032\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 288.000 | + | 166.277i | 0.780488 | + | 0.450615i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −199.500 | − | 345.544i | −0.537736 | − | 0.931386i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −191.500 | + | 331.688i | −0.513405 | + | 0.889243i | 0.486474 | + | 0.873695i | \(0.338283\pi\) |
−0.999879 | + | 0.0155484i | \(0.995051\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −70.5000 | − | 122.110i | −0.188000 | − | 0.325626i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | − | 83.1384i | − | 0.220526i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −230.000 | −0.606860 | −0.303430 | − | 0.952854i | \(-0.598132\pi\) | ||||
−0.303430 | + | 0.952854i | \(0.598132\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 75.0000 | − | 43.3013i | 0.196850 | − | 0.113652i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 277.500 | + | 160.215i | 0.724543 | + | 0.418315i | 0.816423 | − | 0.577455i | \(-0.195954\pi\) |
−0.0918794 | + | 0.995770i | \(0.529287\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 181.865i | 0.472377i | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −30.0000 | + | 51.9615i | −0.0775194 | + | 0.134268i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 100.500 | + | 174.071i | 0.258355 | + | 0.447484i | 0.965801 | − | 0.259283i | \(-0.0834863\pi\) |
−0.707447 | + | 0.706767i | \(0.750153\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 265.004i | − | 0.677759i | ||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 171.000 | 0.435115 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 109.500 | − | 63.2199i | 0.277215 | − | 0.160050i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −46.5000 | − | 26.8468i | −0.117128 | − | 0.0676241i | 0.440291 | − | 0.897855i | \(-0.354875\pi\) |
−0.557420 | + | 0.830231i | \(0.688209\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −189.000 | −0.473684 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 88.5000 | − | 153.286i | 0.220698 | − | 0.382261i | −0.734322 | − | 0.678801i | \(-0.762500\pi\) |
0.955020 | + | 0.296541i | \(0.0958331\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −84.0000 | − | 145.492i | −0.208437 | − | 0.361023i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | − | 15.5885i | − | 0.0384900i | ||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 465.000 | 1.14251 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 289.500 | − | 167.143i | 0.707824 | − | 0.408662i | −0.102431 | − | 0.994740i | \(-0.532662\pi\) |
0.810255 | + | 0.586078i | \(0.199329\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −94.5000 | − | 54.5596i | −0.229927 | − | 0.132748i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 493.500 | − | 284.922i | 1.19492 | − | 0.689885i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 12.0000 | − | 20.7846i | 0.0289157 | − | 0.0500834i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 204.000 | + | 353.338i | 0.489209 | + | 0.847334i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 595.825i | 1.42202i | 0.703183 | + | 0.711009i | \(0.251761\pi\) | ||||
−0.703183 | + | 0.711009i | \(0.748239\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −22.0000 | −0.0522565 | −0.0261283 | − | 0.999659i | \(-0.508318\pi\) | ||||
−0.0261283 | + | 0.999659i | \(0.508318\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −225.000 | + | 129.904i | −0.531915 | + | 0.307101i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −561.000 | − | 323.894i | −1.32000 | − | 0.762102i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 493.500 | + | 284.922i | 1.15574 | + | 0.667265i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 180.000 | − | 311.769i | 0.419580 | − | 0.726735i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −163.500 | − | 283.190i | −0.379350 | − | 0.657054i | 0.611618 | − | 0.791154i | \(-0.290519\pi\) |
−0.990968 | + | 0.134100i | \(0.957186\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 27.7128i | 0.0640019i | 0.999488 | + | 0.0320009i | \(0.0101880\pi\) | ||||
−0.999488 | + | 0.0320009i | \(0.989812\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −18.0000 | −0.0413793 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 121.500 | − | 70.1481i | 0.278032 | − | 0.160522i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 517.500 | + | 298.779i | 1.17882 | + | 0.680589i | 0.955740 | − | 0.294212i | \(-0.0950571\pi\) |
0.223075 | + | 0.974801i | \(0.428390\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −147.000 | + | 254.611i | −0.333333 | + | 0.577350i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 364.500 | − | 631.333i | 0.822799 | − | 1.42513i | −0.0807907 | − | 0.996731i | \(-0.525745\pi\) |
0.903590 | − | 0.428399i | \(-0.140922\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 49.5000 | + | 85.7365i | 0.111236 | + | 0.192666i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | − | 306.573i | − | 0.685846i | ||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −270.000 | −0.601336 | −0.300668 | − | 0.953729i | \(-0.597210\pi\) | ||||
−0.300668 | + | 0.953729i | \(0.597210\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −720.000 | + | 415.692i | −1.59645 | + | 0.921712i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −82.5000 | − | 47.6314i | −0.182119 | − | 0.105147i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 84.0000 | − | 145.492i | 0.184615 | − | 0.319763i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −399.500 | + | 691.954i | −0.874179 | + | 1.51412i | −0.0165451 | + | 0.999863i | \(0.505267\pi\) |
−0.857634 | + | 0.514260i | \(0.828067\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 382.500 | + | 662.509i | 0.833333 | + | 1.44338i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | − | 429.549i | − | 0.931776i | −0.884844 | − | 0.465888i | \(-0.845735\pi\) | ||
0.884844 | − | 0.465888i | \(-0.154265\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −814.000 | −1.75810 | −0.879050 | − | 0.476730i | \(-0.841822\pi\) | ||||
−0.879050 | + | 0.476730i | \(0.841822\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −31.5000 | + | 18.1865i | −0.0677419 | + | 0.0391108i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −346.500 | − | 200.052i | −0.741970 | − | 0.428377i | 0.0808151 | − | 0.996729i | \(-0.474248\pi\) |
−0.822785 | + | 0.568353i | \(0.807581\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −171.500 | − | 297.047i | −0.365672 | − | 0.633362i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 85.5000 | − | 148.090i | 0.181529 | − | 0.314417i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −75.0000 | − | 129.904i | −0.158562 | − | 0.274638i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | − | 342.946i | − | 0.721992i | ||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −342.000 | −0.716981 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −466.500 | + | 269.334i | −0.973904 | + | 0.562284i | −0.900424 | − | 0.435013i | \(-0.856744\pi\) |
−0.0734798 | + | 0.997297i | \(0.523410\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −372.000 | − | 214.774i | −0.773389 | − | 0.446516i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 109.119i | 0.225920i | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −24.0000 | + | 41.5692i | −0.0494845 | + | 0.0857097i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 428.500 | + | 742.184i | 0.879877 | + | 1.52399i | 0.851475 | + | 0.524395i | \(0.175708\pi\) |
0.0284015 | + | 0.999597i | \(0.490958\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 39.8372i | 0.0814666i | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 570.000 | 1.16090 | 0.580448 | − | 0.814297i | \(-0.302877\pi\) | ||||
0.580448 | + | 0.814297i | \(0.302877\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −153.000 | + | 88.3346i | −0.310345 | + | 0.179178i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 135.000 | + | 77.9423i | 0.272727 | + | 0.157459i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 882.000 | 1.77465 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 212.500 | − | 368.061i | 0.425852 | − | 0.737597i | −0.570648 | − | 0.821195i | \(-0.693308\pi\) |
0.996500 | + | 0.0835981i | \(0.0266412\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −240.000 | − | 415.692i | −0.479042 | − | 0.829725i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 193.990i | 0.385665i | 0.981232 | + | 0.192833i | \(0.0617675\pi\) | ||||
−0.981232 | + | 0.192833i | \(0.938233\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 171.000 | 0.338614 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −34.5000 | + | 19.9186i | −0.0680473 | + | 0.0392871i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −334.500 | − | 193.124i | −0.657171 | − | 0.379418i | 0.134027 | − | 0.990978i | \(-0.457209\pi\) |
−0.791198 | + | 0.611560i | \(0.790542\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 157.500 | − | 90.9327i | 0.308219 | − | 0.177950i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −202.500 | + | 350.740i | −0.394737 | + | 0.683704i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 61.5000 | + | 106.521i | 0.119417 | + | 0.206837i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | − | 649.519i | − | 1.25632i | ||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 243.000 | 0.468208 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −214.500 | + | 123.842i | −0.411708 | + | 0.237700i | −0.691523 | − | 0.722354i | \(-0.743060\pi\) |
0.279815 | + | 0.960054i | \(0.409727\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 685.500 | + | 395.774i | 1.31071 | + | 0.756737i | 0.982213 | − | 0.187769i | \(-0.0601255\pi\) |
0.328494 | + | 0.944506i | \(0.393459\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 231.000 | + | 133.368i | 0.440000 | + | 0.254034i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −178.500 | + | 309.171i | −0.338710 | + | 0.586662i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 224.000 | + | 387.979i | 0.423440 | + | 0.733420i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | − | 488.438i | − | 0.919846i | ||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 768.000 | 1.44090 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −58.5000 | + | 33.7750i | −0.109346 | + | 0.0631308i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −94.5000 | − | 54.5596i | −0.175978 | − | 0.101601i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −367.500 | − | 636.529i | −0.681818 | − | 1.18094i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 360.500 | − | 624.404i | 0.666359 | − | 1.15417i | −0.312556 | − | 0.949899i | \(-0.601185\pi\) |
0.978915 | − | 0.204268i | \(-0.0654813\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 108.000 | + | 187.061i | 0.198895 | + | 0.344496i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | − | 178.401i | − | 0.327342i | ||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −118.000 | −0.215722 | −0.107861 | − | 0.994166i | \(-0.534400\pi\) | ||||
−0.107861 | + | 0.994166i | \(0.534400\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 423.000 | − | 244.219i | 0.770492 | − | 0.444844i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −81.0000 | − | 46.7654i | −0.147005 | − | 0.0848736i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −255.500 | + | 442.539i | −0.462025 | + | 0.800251i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −46.5000 | + | 80.5404i | −0.0837838 | + | 0.145118i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 316.500 | + | 548.194i | 0.568223 | + | 0.984190i | 0.996742 | + | 0.0806578i | \(0.0257021\pi\) |
−0.428519 | + | 0.903533i | \(0.640965\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 138.564i | 0.247878i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −765.000 | −1.36364 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −238.500 | + | 137.698i | −0.423623 | + | 0.244579i | −0.696626 | − | 0.717434i | \(-0.745316\pi\) |
0.273003 | + | 0.962013i | \(0.411983\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −117.000 | − | 67.5500i | −0.207080 | − | 0.119557i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 31.5000 | + | 54.5596i | 0.0555556 | + | 0.0962250i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −223.500 | + | 387.113i | −0.392794 | + | 0.680340i | −0.992817 | − | 0.119643i | \(-0.961825\pi\) |
0.600023 | + | 0.799983i | \(0.295158\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −263.500 | − | 456.395i | −0.461471 | − | 0.799291i | 0.537563 | − | 0.843223i | \(-0.319345\pi\) |
−0.999035 | + | 0.0439319i | \(0.986012\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | − | 98.7269i | − | 0.172298i | ||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −198.000 | −0.344348 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 145.500 | − | 84.0045i | 0.252166 | − | 0.145588i | −0.368589 | − | 0.929592i | \(-0.620159\pi\) |
0.620756 | + | 0.784004i | \(0.286826\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 313.500 | + | 180.999i | 0.541451 | + | 0.312607i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 96.9948i | 0.166945i | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 427.500 | − | 740.452i | 0.733276 | − | 1.27007i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −72.0000 | − | 124.708i | −0.123077 | − | 0.213175i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 956.092i | 1.62878i | 0.580320 | + | 0.814388i | \(0.302927\pi\) | ||||
−0.580320 | + | 0.814388i | \(0.697073\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −189.000 | −0.320883 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −225.000 | + | 129.904i | −0.380711 | + | 0.219803i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −262.500 | − | 151.554i | −0.442664 | − | 0.255572i | 0.262063 | − | 0.965051i | \(-0.415597\pi\) |
−0.704727 | + | 0.709478i | \(0.748931\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −357.000 | −0.600000 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −178.500 | + | 309.171i | −0.298995 | + | 0.517874i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −403.500 | − | 698.883i | −0.673623 | − | 1.16675i | −0.976869 | − | 0.213837i | \(-0.931404\pi\) |
0.303247 | − | 0.952912i | \(-0.401929\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 387.979i | 0.645556i | 0.946475 | + | 0.322778i | \(0.104617\pi\) | ||||
−0.946475 | + | 0.322778i | \(0.895383\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −294.000 | −0.487562 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −156.000 | + | 90.0666i | −0.257851 | + | 0.148870i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −634.500 | − | 366.329i | −1.04530 | − | 0.603507i | −0.123974 | − | 0.992286i | \(-0.539564\pi\) |
−0.921331 | + | 0.388779i | \(0.872897\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 63.0000 | − | 36.3731i | 0.103448 | − | 0.0597259i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −300.000 | + | 519.615i | −0.490998 | + | 0.850434i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −251.500 | − | 435.611i | −0.410277 | − | 0.710621i | 0.584643 | − | 0.811291i | \(-0.301235\pi\) |
−0.994920 | + | 0.100670i | \(0.967901\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | − | 166.277i | − | 0.270369i | ||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 930.000 | 1.50729 | 0.753647 | − | 0.657280i | \(-0.228293\pi\) | ||||
0.753647 | + | 0.657280i | \(0.228293\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 457.500 | − | 264.138i | 0.739095 | − | 0.426717i | −0.0826450 | − | 0.996579i | \(-0.526337\pi\) |
0.821740 | + | 0.569862i | \(0.193003\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 202.500 | + | 116.913i | 0.326087 | + | 0.188266i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −346.500 | − | 200.052i | −0.556180 | − | 0.321111i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −204.500 | + | 354.204i | −0.327200 | + | 0.566727i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −202.500 | − | 350.740i | −0.322967 | − | 0.559394i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 912.791i | 1.45118i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 194.000 | 0.307448 | 0.153724 | − | 0.988114i | \(-0.450873\pi\) | ||||
0.153724 | + | 0.988114i | \(0.450873\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 519.000 | − | 299.645i | 0.819905 | − | 0.473372i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 75.0000 | + | 43.3013i | 0.118110 | + | 0.0681910i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 678.964i | 1.06588i | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 378.000 | − | 654.715i | 0.591549 | − | 1.02459i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 16.5000 | + | 28.5788i | 0.0257410 | + | 0.0445848i | 0.878609 | − | 0.477542i | \(-0.158472\pi\) |
−0.852868 | + | 0.522127i | \(0.825139\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | − | 346.410i | − | 0.538741i | −0.963037 | − | 0.269370i | \(-0.913184\pi\) | ||
0.963037 | − | 0.269370i | \(-0.0868155\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 30.0000 | 0.0465116 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 661.500 | − | 381.917i | 1.02241 | − | 0.590289i | 0.107610 | − | 0.994193i | \(-0.465680\pi\) |
0.914801 | + | 0.403904i | \(0.132347\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 1057.50 | + | 610.548i | 1.62943 | + | 0.940752i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 73.5000 | − | 127.306i | 0.112903 | − | 0.195554i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 16.5000 | − | 28.5788i | 0.0252680 | − | 0.0437654i | −0.853115 | − | 0.521723i | \(-0.825289\pi\) |
0.878383 | + | 0.477958i | \(0.158623\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 85.5000 | + | 148.090i | 0.130534 | + | 0.226092i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | − | 155.885i | − | 0.237267i | ||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −870.000 | −1.32018 | −0.660091 | − | 0.751186i | \(-0.729482\pi\) | ||||
−0.660091 | + | 0.751186i | \(0.729482\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 877.500 | − | 506.625i | 1.32753 | − | 0.766452i | 0.342616 | − | 0.939475i | \(-0.388687\pi\) |
0.984918 | + | 0.173023i | \(0.0553536\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 612.000 | + | 353.338i | 0.923077 | + | 0.532939i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −94.5000 | − | 163.679i | −0.142105 | − | 0.246134i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −27.0000 | + | 46.7654i | −0.0404798 | + | 0.0701130i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −288.000 | − | 498.831i | −0.430493 | − | 0.745636i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 1221.10i | 1.81981i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −14.0000 | −0.0208024 | −0.0104012 | − | 0.999946i | \(-0.503311\pi\) | ||||
−0.0104012 | + | 0.999946i | \(0.503311\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 495.000 | − | 285.788i | 0.733333 | − | 0.423390i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −238.500 | − | 137.698i | −0.352290 | − | 0.203394i | 0.313404 | − | 0.949620i | \(-0.398531\pi\) |
−0.665693 | + | 0.746226i | \(0.731864\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | − | 193.990i | − | 0.285699i | ||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 121.500 | − | 210.444i | 0.178414 | − | 0.309022i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 136.500 | + | 236.425i | 0.199854 | + | 0.346157i | 0.948481 | − | 0.316835i | \(-0.102620\pi\) |
−0.748627 | + | 0.662991i | \(0.769287\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 109.119i | − | 0.159298i | ||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 291.000 | 0.423581 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −684.000 | + | 394.908i | −0.992743 | + | 0.573160i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 133.500 | + | 77.0763i | 0.193198 | + | 0.111543i | 0.593479 | − | 0.804850i | \(-0.297754\pi\) |
−0.400281 | + | 0.916393i | \(0.631087\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −630.000 | −0.909091 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −204.000 | + | 353.338i | −0.293525 | + | 0.508401i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −816.000 | − | 1413.35i | −1.17073 | − | 2.02777i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | − | 472.850i | − | 0.676466i | ||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 906.000 | 1.29244 | 0.646220 | − | 0.763151i | \(-0.276349\pi\) | ||||
0.646220 | + | 0.763151i | \(0.276349\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −418.500 | + | 241.621i | −0.595306 | + | 0.343700i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 112.500 | + | 64.9519i | 0.159574 | + | 0.0921304i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −598.500 | + | 345.544i | −0.846535 | + | 0.488747i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −351.500 | + | 608.816i | −0.495769 | + | 0.858697i | −0.999988 | − | 0.00487903i | \(-0.998447\pi\) |
0.504219 | + | 0.863576i | \(0.331780\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 219.000 | + | 379.319i | 0.308017 | + | 0.533501i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 109.119i | 0.153042i | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 360.000 | 0.503497 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −333.000 | + | 192.258i | −0.464435 | + | 0.268142i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −514.500 | − | 297.047i | −0.715577 | − | 0.413139i | 0.0975455 | − | 0.995231i | \(-0.468901\pi\) |
−0.813123 | + | 0.582092i | \(0.802234\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −430.500 | − | 248.549i | −0.597087 | − | 0.344729i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −190.500 | + | 329.956i | −0.263485 | + | 0.456370i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 66.0000 | + | 114.315i | 0.0910345 | + | 0.157676i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 27.7128i | 0.0381194i | 0.999818 | + | 0.0190597i | \(0.00606726\pi\) | ||||
−0.999818 | + | 0.0190597i | \(0.993933\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −351.000 | −0.481481 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 255.000 | − | 147.224i | 0.348837 | − | 0.201401i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −838.500 | − | 484.108i | −1.14393 | − | 0.660448i | −0.196529 | − | 0.980498i | \(-0.562967\pi\) |
−0.947401 | + | 0.320050i | \(0.896300\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 147.000 | 0.200000 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 367.500 | − | 636.529i | 0.498643 | − | 0.863675i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 288.500 | + | 499.697i | 0.390392 | + | 0.676180i | 0.992501 | − | 0.122235i | \(-0.0390060\pi\) |
−0.602109 | + | 0.798414i | \(0.705673\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 374.123i | 0.504889i | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 162.000 | 0.218035 | 0.109017 | − | 0.994040i | \(-0.465230\pi\) | ||||
0.109017 | + | 0.994040i | \(0.465230\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 265.500 | − | 153.286i | 0.356376 | − | 0.205754i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 72.0000 | + | 41.5692i | 0.0963855 | + | 0.0556482i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 136.500 | − | 236.425i | 0.182243 | − | 0.315654i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −387.500 | + | 671.170i | −0.515979 | + | 0.893701i | 0.483849 | + | 0.875151i | \(0.339238\pi\) |
−0.999828 | + | 0.0185499i | \(0.994095\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 84.0000 | + | 145.492i | 0.111554 | + | 0.193217i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | − | 95.2628i | − | 0.126176i | ||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −950.000 | −1.25495 | −0.627477 | − | 0.778635i | \(-0.715912\pi\) | ||||
−0.627477 | + | 0.778635i | \(0.715912\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −202.500 | + | 116.913i | −0.266798 | + | 0.154036i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 169.500 | + | 97.8609i | 0.222733 | + | 0.128595i | 0.607215 | − | 0.794537i | \(-0.292287\pi\) |
−0.384482 | + | 0.923133i | \(0.625620\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 360.500 | + | 624.404i | 0.472477 | + | 0.818354i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −153.000 | + | 265.004i | −0.200000 | + | 0.346410i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −564.000 | − | 976.877i | −0.735332 | − | 1.27363i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | − | 914.523i | − | 1.18924i | −0.804008 | − | 0.594618i | \(-0.797303\pi\) | ||
0.804008 | − | 0.594618i | \(-0.202697\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −333.000 | −0.431907 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −154.500 | + | 89.2006i | −0.199871 | + | 0.115395i | −0.596595 | − | 0.802542i | \(-0.703480\pi\) |
0.396725 | + | 0.917938i | \(0.370147\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 231.000 | + | 133.368i | 0.298065 | + | 0.172088i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | − | 375.855i | − | 0.483726i | ||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 432.000 | − | 748.246i | 0.554557 | − | 0.960521i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 945.000 | + | 1636.79i | 1.20999 | + | 2.09576i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | − | 155.885i | − | 0.199086i | ||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 171.000 | 0.217834 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 289.500 | − | 167.143i | 0.367853 | − | 0.212380i | −0.304667 | − | 0.952459i | \(-0.598545\pi\) |
0.672520 | + | 0.740079i | \(0.265212\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 229.500 | + | 132.502i | 0.290875 | + | 0.167936i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 546.000 | 0.690265 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 564.000 | − | 976.877i | 0.711223 | − | 1.23187i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 85.5000 | + | 148.090i | 0.107547 | + | 0.186277i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | − | 872.954i | − | 1.09530i | −0.836708 | − | 0.547650i | \(-0.815523\pi\) | ||
0.836708 | − | 0.547650i | \(-0.184477\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 1275.00 | 1.59574 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −297.000 | + | 171.473i | −0.370787 | + | 0.214074i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 337.500 | + | 194.856i | 0.420299 | + | 0.242660i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −94.5000 | + | 54.5596i | −0.117391 | + | 0.0677759i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −394.500 | + | 683.294i | −0.488848 | + | 0.846709i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 232.500 | + | 402.702i | 0.287392 | + | 0.497777i | 0.973186 | − | 0.230018i | \(-0.0738785\pi\) |
−0.685795 | + | 0.727795i | \(0.740545\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 124.708i | 0.153770i | 0.997040 | + | 0.0768851i | \(0.0244975\pi\) | ||||
−0.997040 | + | 0.0768851i | \(0.975503\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 123.000 | 0.151292 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −34.5000 | + | 19.9186i | −0.0423313 | + | 0.0244400i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 135.000 | + | 77.9423i | 0.165239 | + | 0.0954006i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 504.000 | + | 290.985i | 0.615385 | + | 0.355292i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 376.500 | − | 652.117i | 0.458587 | − | 0.794296i | −0.540299 | − | 0.841473i | \(-0.681689\pi\) |
0.998887 | + | 0.0471767i | \(0.0150224\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 12.5000 | + | 21.6506i | 0.0151883 | + | 0.0263070i | 0.873520 | − | 0.486789i | \(-0.161832\pi\) |
−0.858331 | + | 0.513096i | \(0.828499\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 571.577i | 0.692820i | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −246.000 | −0.297461 | −0.148730 | − | 0.988878i | \(-0.547519\pi\) | ||||
−0.148730 | + | 0.988878i | \(0.547519\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −1282.50 | + | 740.452i | −1.54704 | + | 0.893187i | −0.548679 | + | 0.836033i | \(0.684869\pi\) |
−0.998365 | + | 0.0571537i | \(0.981797\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −538.500 | − | 310.903i | −0.648014 | − | 0.374131i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 1249.50 | − | 721.399i | 1.50000 | − | 0.866025i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 240.000 | − | 415.692i | 0.287425 | − | 0.497835i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −157.500 | − | 272.798i | −0.188172 | − | 0.325924i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | − | 360.267i | − | 0.429400i | −0.976680 | − | 0.214700i | \(-0.931123\pi\) | ||
0.976680 | − | 0.214700i | \(-0.0688774\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −805.000 | −0.957194 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −333.000 | + | 192.258i | −0.395018 | + | 0.228064i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −34.5000 | − | 19.9186i | −0.0408284 | − | 0.0235723i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 364.000 | − | 630.466i | 0.429752 | − | 0.744352i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 1.50000 | − | 2.59808i | 0.00176678 | − | 0.00306016i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 139.500 | + | 241.621i | 0.163925 | + | 0.283926i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 1205.51i | 1.41326i | 0.707585 | + | 0.706628i | \(0.249785\pi\) | ||||
−0.707585 | + | 0.706628i | \(0.750215\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −162.000 | −0.189474 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 169.500 | − | 97.8609i | 0.197783 | − | 0.114190i | −0.397838 | − | 0.917456i | \(-0.630239\pi\) |
0.595621 | + | 0.803266i | \(0.296906\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −1234.50 | − | 712.739i | −1.43714 | − | 0.829731i | −0.439486 | − | 0.898249i | \(-0.644840\pi\) |
−0.997650 | + | 0.0685183i | \(0.978173\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 336.000 | + | 581.969i | 0.390244 | + | 0.675922i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −427.500 | + | 740.452i | −0.495365 | + | 0.857997i | −0.999986 | − | 0.00534379i | \(-0.998299\pi\) |
0.504621 | + | 0.863341i | \(0.331632\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 121.500 | + | 210.444i | 0.140462 | + | 0.243288i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | − | 1001.13i | − | 1.15470i | ||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −1095.00 | −1.26007 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −588.000 | + | 339.482i | −0.675086 | + | 0.389761i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −144.000 | − | 83.1384i | −0.164948 | − | 0.0952330i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 569.845i | 0.651251i | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 120.500 | − | 208.712i | 0.137400 | − | 0.237984i | −0.789112 | − | 0.614250i | \(-0.789459\pi\) |
0.926512 | + | 0.376266i | \(0.122792\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 204.000 | + | 353.338i | 0.232082 | + | 0.401978i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 1330.22i | − | 1.50989i | −0.655787 | − | 0.754946i | \(-0.727663\pi\) | ||
0.655787 | − | 0.754946i | \(-0.272337\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −1286.00 | −1.45640 | −0.728199 | − | 0.685365i | \(-0.759642\pi\) | ||||
−0.728199 | + | 0.685365i | \(0.759642\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −211.500 | + | 122.110i | −0.238983 | + | 0.137977i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −1114.50 | − | 643.457i | −1.25648 | − | 0.725431i | −0.284094 | − | 0.958797i | \(-0.591693\pi\) |
−0.972389 | + | 0.233366i | \(0.925026\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −350.000 | −0.393701 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −67.5000 | + | 116.913i | −0.0757576 | + | 0.131216i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 337.500 | + | 584.567i | 0.377940 | + | 0.654610i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | − | 109.119i | − | 0.121921i | ||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 216.000 | 0.240803 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 63.0000 | − | 36.3731i | 0.0700779 | − | 0.0404595i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 1453.50 | + | 839.179i | 1.61321 | + | 0.931386i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −105.000 | + | 60.6218i | −0.116279 | + | 0.0671338i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −108.000 | + | 187.061i | −0.119337 | + | 0.206698i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 368.500 | + | 638.261i | 0.406284 | + | 0.703705i | 0.994470 | − | 0.105021i | \(-0.0334909\pi\) |
−0.588186 | + | 0.808726i | \(0.700158\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 592.361i | 0.651663i | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 1266.00 | 1.38968 | 0.694841 | − | 0.719164i | \(-0.255475\pi\) | ||||
0.694841 | + | 0.719164i | \(0.255475\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −180.000 | + | 103.923i | −0.197152 | + | 0.113826i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −211.500 | − | 122.110i | −0.231148 | − | 0.133453i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −598.500 | − | 345.544i | −0.652672 | − | 0.376820i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 236.500 | − | 409.630i | 0.257345 | − | 0.445735i | −0.708185 | − | 0.706027i | \(-0.750486\pi\) |
0.965530 | + | 0.260293i | \(0.0838190\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 84.0000 | + | 145.492i | 0.0912052 | + | 0.157972i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | − | 1745.91i | − | 1.89156i | ||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 682.000 | 0.737297 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −369.000 | + | 213.042i | −0.398058 | + | 0.229819i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 289.500 | + | 167.143i | 0.311625 | + | 0.179917i | 0.647654 | − | 0.761935i | \(-0.275750\pi\) |
−0.336028 | + | 0.941852i | \(0.609084\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 661.500 | + | 381.917i | 0.710526 | + | 0.410223i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 421.500 | − | 730.059i | 0.451768 | − | 0.782486i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −382.500 | − | 662.509i | −0.409091 | − | 0.708566i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 859.097i | 0.916859i | 0.888731 | + | 0.458430i | \(0.151588\pi\) | ||||
−0.888731 | + | 0.458430i | \(0.848412\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 387.000 | 0.412141 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −106.500 | + | 61.4878i | −0.113177 | + | 0.0653430i | −0.555520 | − | 0.831503i | \(-0.687481\pi\) |
0.442343 | + | 0.896846i | \(0.354147\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −432.000 | − | 249.415i | −0.458112 | − | 0.264491i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 157.500 | − | 272.798i | 0.166667 | − | 0.288675i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 100.500 | − | 174.071i | 0.106125 | − | 0.183813i | −0.808073 | − | 0.589083i | \(-0.799489\pi\) |
0.914197 | + | 0.405270i | \(0.132822\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −180.000 | − | 311.769i | −0.189673 | − | 0.328524i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 774.227i | 0.814119i | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 66.0000 | 0.0692550 | 0.0346275 | − | 0.999400i | \(-0.488976\pi\) | ||||
0.0346275 | + | 0.999400i | \(0.488976\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 85.5000 | − | 49.3634i | 0.0895288 | − | 0.0516895i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 135.000 | + | 77.9423i | 0.141066 | + | 0.0814444i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 220.500 | + | 381.917i | 0.229927 | + | 0.398245i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −407.000 | + | 704.945i | −0.423517 | + | 0.733553i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −117.000 | − | 202.650i | −0.121495 | − | 0.210436i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 361.999i | 0.375128i | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 194.000 | 0.200620 | 0.100310 | − | 0.994956i | \(-0.468016\pi\) | ||||
0.100310 | + | 0.994956i | \(0.468016\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 688.500 | − | 397.506i | 0.710526 | − | 0.410223i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 1285.50 | + | 742.184i | 1.32389 | + | 0.764350i | 0.984347 | − | 0.176240i | \(-0.0563934\pi\) |
0.339546 | + | 0.940590i | \(0.389727\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | − | 1648.91i | − | 1.69467i | ||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 264.000 | − | 457.261i | 0.270769 | − | 0.468986i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 760.500 | + | 1317.22i | 0.778403 | + | 1.34823i | 0.932862 | + | 0.360235i | \(0.117303\pi\) |
−0.154458 | + | 0.987999i | \(0.549363\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | − | 857.365i | − | 0.875756i | ||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 618.000 | 0.629969 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 973.500 | − | 562.050i | 0.990336 | − | 0.571771i | 0.0849611 | − | 0.996384i | \(-0.472923\pi\) |
0.905375 | + | 0.424614i | \(0.139590\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −225.000 | − | 129.904i | −0.228426 | − | 0.131882i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −525.000 | −0.531915 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 45.0000 | − | 77.9423i | 0.0455005 | − | 0.0788092i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −411.500 | − | 712.739i | −0.415237 | − | 0.719212i | 0.580216 | − | 0.814463i | \(-0.302968\pi\) |
−0.995453 | + | 0.0952507i | \(0.969635\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 261.540i | 0.263383i | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −357.000 | −0.358794 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 109.500 | − | 63.2199i | 0.109829 | − | 0.0634101i | −0.444079 | − | 0.895988i | \(-0.646469\pi\) |
0.553909 | + | 0.832578i | \(0.313136\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −697.500 | − | 402.702i | −0.698198 | − | 0.403105i |
(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 | 28.3.h.a.5.1 | ✓ | 2 | |
3.2 | odd | 2 | 252.3.z.a.145.1 | 2 | |||
4.3 | odd | 2 | 112.3.s.a.33.1 | 2 | |||
5.2 | odd | 4 | 700.3.o.a.649.1 | 4 | |||
5.3 | odd | 4 | 700.3.o.a.649.2 | 4 | |||
5.4 | even | 2 | 700.3.s.a.201.1 | 2 | |||
7.2 | even | 3 | 196.3.b.a.97.2 | 2 | |||
7.3 | odd | 6 | inner | 28.3.h.a.17.1 | yes | 2 | |
7.4 | even | 3 | 196.3.h.a.129.1 | 2 | |||
7.5 | odd | 6 | 196.3.b.a.97.1 | 2 | |||
7.6 | odd | 2 | 196.3.h.a.117.1 | 2 | |||
8.3 | odd | 2 | 448.3.s.b.257.1 | 2 | |||
8.5 | even | 2 | 448.3.s.a.257.1 | 2 | |||
12.11 | even | 2 | 1008.3.cg.c.145.1 | 2 | |||
21.2 | odd | 6 | 1764.3.d.a.685.2 | 2 | |||
21.5 | even | 6 | 1764.3.d.a.685.1 | 2 | |||
21.11 | odd | 6 | 1764.3.z.f.325.1 | 2 | |||
21.17 | even | 6 | 252.3.z.a.73.1 | 2 | |||
21.20 | even | 2 | 1764.3.z.f.901.1 | 2 | |||
28.3 | even | 6 | 112.3.s.a.17.1 | 2 | |||
28.11 | odd | 6 | 784.3.s.b.129.1 | 2 | |||
28.19 | even | 6 | 784.3.c.a.97.2 | 2 | |||
28.23 | odd | 6 | 784.3.c.a.97.1 | 2 | |||
28.27 | even | 2 | 784.3.s.b.705.1 | 2 | |||
35.3 | even | 12 | 700.3.o.a.549.1 | 4 | |||
35.17 | even | 12 | 700.3.o.a.549.2 | 4 | |||
35.24 | odd | 6 | 700.3.s.a.101.1 | 2 | |||
56.3 | even | 6 | 448.3.s.b.129.1 | 2 | |||
56.45 | odd | 6 | 448.3.s.a.129.1 | 2 | |||
84.59 | odd | 6 | 1008.3.cg.c.577.1 | 2 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
28.3.h.a.5.1 | ✓ | 2 | 1.1 | even | 1 | trivial | |
28.3.h.a.17.1 | yes | 2 | 7.3 | odd | 6 | inner | |
112.3.s.a.17.1 | 2 | 28.3 | even | 6 | |||
112.3.s.a.33.1 | 2 | 4.3 | odd | 2 | |||
196.3.b.a.97.1 | 2 | 7.5 | odd | 6 | |||
196.3.b.a.97.2 | 2 | 7.2 | even | 3 | |||
196.3.h.a.117.1 | 2 | 7.6 | odd | 2 | |||
196.3.h.a.129.1 | 2 | 7.4 | even | 3 | |||
252.3.z.a.73.1 | 2 | 21.17 | even | 6 | |||
252.3.z.a.145.1 | 2 | 3.2 | odd | 2 | |||
448.3.s.a.129.1 | 2 | 56.45 | odd | 6 | |||
448.3.s.a.257.1 | 2 | 8.5 | even | 2 | |||
448.3.s.b.129.1 | 2 | 56.3 | even | 6 | |||
448.3.s.b.257.1 | 2 | 8.3 | odd | 2 | |||
700.3.o.a.549.1 | 4 | 35.3 | even | 12 | |||
700.3.o.a.549.2 | 4 | 35.17 | even | 12 | |||
700.3.o.a.649.1 | 4 | 5.2 | odd | 4 | |||
700.3.o.a.649.2 | 4 | 5.3 | odd | 4 | |||
700.3.s.a.101.1 | 2 | 35.24 | odd | 6 | |||
700.3.s.a.201.1 | 2 | 5.4 | even | 2 | |||
784.3.c.a.97.1 | 2 | 28.23 | odd | 6 | |||
784.3.c.a.97.2 | 2 | 28.19 | even | 6 | |||
784.3.s.b.129.1 | 2 | 28.11 | odd | 6 | |||
784.3.s.b.705.1 | 2 | 28.27 | even | 2 | |||
1008.3.cg.c.145.1 | 2 | 12.11 | even | 2 | |||
1008.3.cg.c.577.1 | 2 | 84.59 | odd | 6 | |||
1764.3.d.a.685.1 | 2 | 21.5 | even | 6 | |||
1764.3.d.a.685.2 | 2 | 21.2 | odd | 6 | |||
1764.3.z.f.325.1 | 2 | 21.11 | odd | 6 | |||
1764.3.z.f.901.1 | 2 | 21.20 | even | 2 |