Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1344,2,Mod(193,1344)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1344, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1344.193");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1344 = 2^{6} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1344.q (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: | \(10.7318940317\) |
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 168) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 961.1 | ||
Root | \(0.500000 - 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1344.961 |
Dual form | 1344.2.q.i.193.1 |
$q$-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 \(\left(\mathbb{Z}/1344\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(449\) | \(577\) | \(1093\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.500000 | − | 0.866025i | −0.288675 | − | 0.500000i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.00000 | − | 1.73205i | 0.447214 | − | 0.774597i | −0.550990 | − | 0.834512i | \(-0.685750\pi\) |
0.998203 | + | 0.0599153i | \(0.0190830\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.50000 | − | 0.866025i | 0.944911 | − | 0.327327i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.500000 | + | 0.866025i | −0.166667 | + | 0.288675i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −3.00000 | − | 5.19615i | −0.904534 | − | 1.56670i | −0.821541 | − | 0.570149i | \(-0.806886\pi\) |
−0.0829925 | − | 0.996550i | \(-0.526448\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.00000 | 0.832050 | 0.416025 | − | 0.909353i | \(-0.363423\pi\) | ||||
0.416025 | + | 0.909353i | \(0.363423\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −2.00000 | −0.516398 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −2.00000 | − | 3.46410i | −0.485071 | − | 0.840168i | 0.514782 | − | 0.857321i | \(-0.327873\pi\) |
−0.999853 | + | 0.0171533i | \(0.994540\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.50000 | + | 4.33013i | −0.573539 | + | 0.993399i | 0.422659 | + | 0.906289i | \(0.361097\pi\) |
−0.996199 | + | 0.0871106i | \(0.972237\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −2.00000 | − | 1.73205i | −0.436436 | − | 0.377964i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 2.00000 | − | 3.46410i | 0.417029 | − | 0.722315i | −0.578610 | − | 0.815604i | \(-0.696405\pi\) |
0.995639 | + | 0.0932891i | \(0.0297381\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.500000 | + | 0.866025i | 0.100000 | + | 0.173205i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 1.00000 | 0.192450 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 4.00000 | 0.742781 | 0.371391 | − | 0.928477i | \(-0.378881\pi\) | ||||
0.371391 | + | 0.928477i | \(0.378881\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.50000 | − | 6.06218i | −0.628619 | − | 1.08880i | −0.987829 | − | 0.155543i | \(-0.950287\pi\) |
0.359211 | − | 0.933257i | \(-0.383046\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −3.00000 | + | 5.19615i | −0.522233 | + | 0.904534i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 1.00000 | − | 5.19615i | 0.169031 | − | 0.878310i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.50000 | + | 7.79423i | −0.739795 | + | 1.28136i | 0.212792 | + | 0.977098i | \(0.431744\pi\) |
−0.952587 | + | 0.304266i | \(0.901589\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −1.50000 | − | 2.59808i | −0.240192 | − | 0.416025i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −2.00000 | −0.312348 | −0.156174 | − | 0.987730i | \(-0.549916\pi\) | ||||
−0.156174 | + | 0.987730i | \(0.549916\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.00000 | 0.152499 | 0.0762493 | − | 0.997089i | \(-0.475706\pi\) | ||||
0.0762493 | + | 0.997089i | \(0.475706\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 1.00000 | + | 1.73205i | 0.149071 | + | 0.258199i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −1.00000 | + | 1.73205i | −0.145865 | + | 0.252646i | −0.929695 | − | 0.368329i | \(-0.879930\pi\) |
0.783830 | + | 0.620975i | \(0.213263\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 5.50000 | − | 4.33013i | 0.785714 | − | 0.618590i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −2.00000 | + | 3.46410i | −0.280056 | + | 0.485071i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 4.00000 | + | 6.92820i | 0.549442 | + | 0.951662i | 0.998313 | + | 0.0580651i | \(0.0184931\pi\) |
−0.448871 | + | 0.893597i | \(0.648174\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −12.0000 | −1.61808 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 5.00000 | 0.662266 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 5.00000 | − | 8.66025i | 0.640184 | − | 1.10883i | −0.345207 | − | 0.938527i | \(-0.612191\pi\) |
0.985391 | − | 0.170305i | \(-0.0544754\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −0.500000 | + | 2.59808i | −0.0629941 | + | 0.327327i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 3.00000 | − | 5.19615i | 0.372104 | − | 0.644503i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −7.50000 | − | 12.9904i | −0.916271 | − | 1.58703i | −0.805030 | − | 0.593234i | \(-0.797851\pi\) |
−0.111241 | − | 0.993793i | \(-0.535483\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −4.00000 | −0.481543 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −6.00000 | −0.712069 | −0.356034 | − | 0.934473i | \(-0.615871\pi\) | ||||
−0.356034 | + | 0.934473i | \(0.615871\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 5.50000 | + | 9.52628i | 0.643726 | + | 1.11497i | 0.984594 | + | 0.174855i | \(0.0559458\pi\) |
−0.340868 | + | 0.940111i | \(0.610721\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0.500000 | − | 0.866025i | 0.0577350 | − | 0.100000i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −12.0000 | − | 10.3923i | −1.36753 | − | 1.18431i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.500000 | + | 0.866025i | −0.0562544 | + | 0.0974355i | −0.892781 | − | 0.450490i | \(-0.851249\pi\) |
0.836527 | + | 0.547926i | \(0.184582\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −6.00000 | −0.658586 | −0.329293 | − | 0.944228i | \(-0.606810\pi\) | ||||
−0.329293 | + | 0.944228i | \(0.606810\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −8.00000 | −0.867722 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −2.00000 | − | 3.46410i | −0.214423 | − | 0.371391i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 4.00000 | − | 6.92820i | 0.423999 | − | 0.734388i | −0.572327 | − | 0.820025i | \(-0.693959\pi\) |
0.996326 | + | 0.0856373i | \(0.0272926\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 7.50000 | − | 2.59808i | 0.786214 | − | 0.272352i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −3.50000 | + | 6.06218i | −0.362933 | + | 0.628619i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 5.00000 | + | 8.66025i | 0.512989 | + | 0.888523i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −14.0000 | −1.42148 | −0.710742 | − | 0.703452i | \(-0.751641\pi\) | ||||
−0.710742 | + | 0.703452i | \(0.751641\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 6.00000 | 0.603023 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −3.00000 | − | 5.19615i | −0.298511 | − | 0.517036i | 0.677284 | − | 0.735721i | \(-0.263157\pi\) |
−0.975796 | + | 0.218685i | \(0.929823\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 4.50000 | − | 7.79423i | 0.443398 | − | 0.767988i | −0.554541 | − | 0.832156i | \(-0.687106\pi\) |
0.997939 | + | 0.0641683i | \(0.0204394\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −5.00000 | + | 1.73205i | −0.487950 | + | 0.169031i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −6.00000 | + | 10.3923i | −0.580042 | + | 1.00466i | 0.415432 | + | 0.909624i | \(0.363630\pi\) |
−0.995474 | + | 0.0950377i | \(0.969703\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −5.50000 | − | 9.52628i | −0.526804 | − | 0.912452i | −0.999512 | − | 0.0312328i | \(-0.990057\pi\) |
0.472708 | − | 0.881219i | \(-0.343277\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 9.00000 | 0.854242 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 6.00000 | 0.564433 | 0.282216 | − | 0.959351i | \(-0.408930\pi\) | ||||
0.282216 | + | 0.959351i | \(0.408930\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −4.00000 | − | 6.92820i | −0.373002 | − | 0.646058i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −1.50000 | + | 2.59808i | −0.138675 | + | 0.240192i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −8.00000 | − | 6.92820i | −0.733359 | − | 0.635107i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −12.5000 | + | 21.6506i | −1.13636 | + | 1.96824i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 1.00000 | + | 1.73205i | 0.0901670 | + | 0.156174i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 12.0000 | 1.07331 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.00000 | −0.0887357 | −0.0443678 | − | 0.999015i | \(-0.514127\pi\) | ||||
−0.0443678 | + | 0.999015i | \(0.514127\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −0.500000 | − | 0.866025i | −0.0440225 | − | 0.0762493i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 7.00000 | − | 12.1244i | 0.611593 | − | 1.05931i | −0.379379 | − | 0.925241i | \(-0.623862\pi\) |
0.990972 | − | 0.134069i | \(-0.0428042\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −2.50000 | + | 12.9904i | −0.216777 | + | 1.12641i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 1.00000 | − | 1.73205i | 0.0860663 | − | 0.149071i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −10.0000 | − | 17.3205i | −0.854358 | − | 1.47979i | −0.877240 | − | 0.480053i | \(-0.840618\pi\) |
0.0228820 | − | 0.999738i | \(-0.492716\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 9.00000 | 0.763370 | 0.381685 | − | 0.924292i | \(-0.375344\pi\) | ||||
0.381685 | + | 0.924292i | \(0.375344\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 2.00000 | 0.168430 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −9.00000 | − | 15.5885i | −0.752618 | − | 1.30357i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 4.00000 | − | 6.92820i | 0.332182 | − | 0.575356i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −6.50000 | − | 2.59808i | −0.536111 | − | 0.214286i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 2.00000 | − | 3.46410i | 0.163846 | − | 0.283790i | −0.772399 | − | 0.635138i | \(-0.780943\pi\) |
0.936245 | + | 0.351348i | \(0.114277\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 4.00000 | + | 6.92820i | 0.325515 | + | 0.563809i | 0.981617 | − | 0.190864i | \(-0.0611289\pi\) |
−0.656101 | + | 0.754673i | \(0.727796\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 4.00000 | 0.323381 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −14.0000 | −1.12451 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 9.00000 | + | 15.5885i | 0.718278 | + | 1.24409i | 0.961681 | + | 0.274169i | \(0.0884028\pi\) |
−0.243403 | + | 0.969925i | \(0.578264\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 4.00000 | − | 6.92820i | 0.317221 | − | 0.549442i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 2.00000 | − | 10.3923i | 0.157622 | − | 0.819028i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 2.00000 | − | 3.46410i | 0.156652 | − | 0.271329i | −0.777007 | − | 0.629492i | \(-0.783263\pi\) |
0.933659 | + | 0.358162i | \(0.116597\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 6.00000 | + | 10.3923i | 0.467099 | + | 0.809040i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 18.0000 | 1.39288 | 0.696441 | − | 0.717614i | \(-0.254766\pi\) | ||||
0.696441 | + | 0.717614i | \(0.254766\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −4.00000 | −0.307692 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −2.50000 | − | 4.33013i | −0.191180 | − | 0.331133i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 10.0000 | − | 17.3205i | 0.760286 | − | 1.31685i | −0.182417 | − | 0.983221i | \(-0.558392\pi\) |
0.942703 | − | 0.333633i | \(-0.108275\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2.00000 | + | 1.73205i | 0.151186 | + | 0.130931i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 13.0000 | + | 22.5167i | 0.971666 | + | 1.68297i | 0.690526 | + | 0.723307i | \(0.257379\pi\) |
0.281139 | + | 0.959667i | \(0.409288\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 7.00000 | 0.520306 | 0.260153 | − | 0.965567i | \(-0.416227\pi\) | ||||
0.260153 | + | 0.965567i | \(0.416227\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −10.0000 | −0.739221 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 9.00000 | + | 15.5885i | 0.661693 | + | 1.14609i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −12.0000 | + | 20.7846i | −0.877527 | + | 1.51992i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 2.50000 | − | 0.866025i | 0.181848 | − | 0.0629941i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −5.00000 | + | 8.66025i | −0.361787 | + | 0.626634i | −0.988255 | − | 0.152813i | \(-0.951167\pi\) |
0.626468 | + | 0.779447i | \(0.284500\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −1.50000 | − | 2.59808i | −0.107972 | − | 0.187014i | 0.806976 | − | 0.590584i | \(-0.201102\pi\) |
−0.914949 | + | 0.403570i | \(0.867769\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −6.00000 | −0.429669 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 12.0000 | 0.854965 | 0.427482 | − | 0.904024i | \(-0.359401\pi\) | ||||
0.427482 | + | 0.904024i | \(0.359401\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 8.00000 | + | 13.8564i | 0.567105 | + | 0.982255i | 0.996850 | + | 0.0793045i | \(0.0252700\pi\) |
−0.429745 | + | 0.902950i | \(0.641397\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −7.50000 | + | 12.9904i | −0.529009 | + | 0.916271i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 10.0000 | − | 3.46410i | 0.701862 | − | 0.243132i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −2.00000 | + | 3.46410i | −0.139686 | + | 0.241943i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 2.00000 | + | 3.46410i | 0.139010 | + | 0.240772i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 30.0000 | 2.07514 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 4.00000 | 0.275371 | 0.137686 | − | 0.990476i | \(-0.456034\pi\) | ||||
0.137686 | + | 0.990476i | \(0.456034\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 3.00000 | + | 5.19615i | 0.205557 | + | 0.356034i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 1.00000 | − | 1.73205i | 0.0681994 | − | 0.118125i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −14.0000 | − | 12.1244i | −0.950382 | − | 0.823055i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 5.50000 | − | 9.52628i | 0.371656 | − | 0.643726i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −6.00000 | − | 10.3923i | −0.403604 | − | 0.699062i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 24.0000 | 1.60716 | 0.803579 | − | 0.595198i | \(-0.202926\pi\) | ||||
0.803579 | + | 0.595198i | \(0.202926\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −1.00000 | −0.0666667 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 7.00000 | + | 12.1244i | 0.464606 | + | 0.804722i | 0.999184 | − | 0.0403978i | \(-0.0128625\pi\) |
−0.534577 | + | 0.845120i | \(0.679529\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −3.50000 | + | 6.06218i | −0.231287 | + | 0.400600i | −0.958187 | − | 0.286143i | \(-0.907627\pi\) |
0.726900 | + | 0.686743i | \(0.240960\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −3.00000 | + | 15.5885i | −0.197386 | + | 1.02565i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −13.0000 | + | 22.5167i | −0.851658 | + | 1.47512i | 0.0280525 | + | 0.999606i | \(0.491069\pi\) |
−0.879711 | + | 0.475509i | \(0.842264\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 2.00000 | + | 3.46410i | 0.130466 | + | 0.225973i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 1.00000 | 0.0649570 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 2.00000 | 0.129369 | 0.0646846 | − | 0.997906i | \(-0.479396\pi\) | ||||
0.0646846 | + | 0.997906i | \(0.479396\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 1.00000 | + | 1.73205i | 0.0644157 | + | 0.111571i | 0.896435 | − | 0.443176i | \(-0.146148\pi\) |
−0.832019 | + | 0.554747i | \(0.812815\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −0.500000 | + | 0.866025i | −0.0320750 | + | 0.0555556i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −2.00000 | − | 13.8564i | −0.127775 | − | 0.885253i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −7.50000 | + | 12.9904i | −0.477214 | + | 0.826558i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 3.00000 | + | 5.19615i | 0.190117 | + | 0.329293i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −4.00000 | −0.252478 | −0.126239 | − | 0.992000i | \(-0.540291\pi\) | ||||
−0.126239 | + | 0.992000i | \(0.540291\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −24.0000 | −1.50887 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 4.00000 | + | 6.92820i | 0.250490 | + | 0.433861i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 9.00000 | − | 15.5885i | 0.561405 | − | 0.972381i | −0.435970 | − | 0.899961i | \(-0.643595\pi\) |
0.997374 | − | 0.0724199i | \(-0.0230722\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −4.50000 | + | 23.3827i | −0.279616 | + | 1.45293i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −2.00000 | + | 3.46410i | −0.123797 | + | 0.214423i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 6.00000 | + | 10.3923i | 0.369976 | + | 0.640817i | 0.989561 | − | 0.144112i | \(-0.0460326\pi\) |
−0.619586 | + | 0.784929i | \(0.712699\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 16.0000 | 0.982872 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −8.00000 | −0.489592 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −9.00000 | − | 15.5885i | −0.548740 | − | 0.950445i | −0.998361 | − | 0.0572259i | \(-0.981774\pi\) |
0.449622 | − | 0.893219i | \(-0.351559\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −4.00000 | + | 6.92820i | −0.242983 | + | 0.420858i | −0.961563 | − | 0.274586i | \(-0.911459\pi\) |
0.718580 | + | 0.695444i | \(0.244792\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −6.00000 | − | 5.19615i | −0.363137 | − | 0.314485i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 3.00000 | − | 5.19615i | 0.180907 | − | 0.313340i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 0.500000 | + | 0.866025i | 0.0300421 | + | 0.0520344i | 0.880656 | − | 0.473757i | \(-0.157103\pi\) |
−0.850613 | + | 0.525792i | \(0.823769\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 7.00000 | 0.419079 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −0.500000 | − | 0.866025i | −0.0297219 | − | 0.0514799i | 0.850782 | − | 0.525519i | \(-0.176129\pi\) |
−0.880504 | + | 0.474039i | \(0.842796\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 5.00000 | − | 8.66025i | 0.296174 | − | 0.512989i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −5.00000 | + | 1.73205i | −0.295141 | + | 0.102240i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 0.500000 | − | 0.866025i | 0.0294118 | − | 0.0509427i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 7.00000 | + | 12.1244i | 0.410347 | + | 0.710742i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −3.00000 | − | 5.19615i | −0.174078 | − | 0.301511i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 6.00000 | − | 10.3923i | 0.346989 | − | 0.601003i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 2.50000 | − | 0.866025i | 0.144098 | − | 0.0499169i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −3.00000 | + | 5.19615i | −0.172345 | + | 0.298511i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −10.0000 | − | 17.3205i | −0.572598 | − | 0.991769i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 11.0000 | 0.627803 | 0.313902 | − | 0.949456i | \(-0.398364\pi\) | ||||
0.313902 | + | 0.949456i | \(0.398364\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −9.00000 | −0.511992 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 9.00000 | + | 15.5885i | 0.510343 | + | 0.883940i | 0.999928 | + | 0.0119847i | \(0.00381495\pi\) |
−0.489585 | + | 0.871956i | \(0.662852\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 0.500000 | − | 0.866025i | 0.0282617 | − | 0.0489506i | −0.851549 | − | 0.524276i | \(-0.824336\pi\) |
0.879810 | + | 0.475325i | \(0.157669\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 4.00000 | + | 3.46410i | 0.225374 | + | 0.195180i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −12.0000 | − | 20.7846i | −0.671871 | − | 1.16371i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 12.0000 | 0.669775 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 20.0000 | 1.11283 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 1.50000 | + | 2.59808i | 0.0832050 | + | 0.144115i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −5.50000 | + | 9.52628i | −0.304151 | + | 0.526804i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −1.00000 | + | 5.19615i | −0.0551318 | + | 0.286473i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 2.50000 | − | 4.33013i | 0.137412 | − | 0.238005i | −0.789104 | − | 0.614260i | \(-0.789455\pi\) |
0.926516 | + | 0.376254i | \(0.122788\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −4.50000 | − | 7.79423i | −0.246598 | − | 0.427121i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −30.0000 | −1.63908 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 29.0000 | 1.57973 | 0.789865 | − | 0.613280i | \(-0.210150\pi\) | ||||
0.789865 | + | 0.613280i | \(0.210150\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −3.00000 | − | 5.19615i | −0.162938 | − | 0.282216i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −21.0000 | + | 36.3731i | −1.13721 | + | 1.96971i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 10.0000 | − | 15.5885i | 0.539949 | − | 0.841698i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −4.00000 | + | 6.92820i | −0.215353 | + | 0.373002i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 6.00000 | + | 10.3923i | 0.322097 | + | 0.557888i | 0.980921 | − | 0.194409i | \(-0.0622790\pi\) |
−0.658824 | + | 0.752297i | \(0.728946\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 22.0000 | 1.17763 | 0.588817 | − | 0.808267i | \(-0.299594\pi\) | ||||
0.588817 | + | 0.808267i | \(0.299594\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 3.00000 | 0.160128 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −3.00000 | − | 5.19615i | −0.159674 | − | 0.276563i | 0.775077 | − | 0.631867i | \(-0.217711\pi\) |
−0.934751 | + | 0.355303i | \(0.884378\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −6.00000 | + | 10.3923i | −0.318447 | + | 0.551566i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −2.00000 | + | 10.3923i | −0.105851 | + | 0.550019i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 6.00000 | − | 10.3923i | 0.316668 | − | 0.548485i | −0.663123 | − | 0.748511i | \(-0.730769\pi\) |
0.979791 | + | 0.200026i | \(0.0641026\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −3.00000 | − | 5.19615i | −0.157895 | − | 0.273482i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 25.0000 | 1.31216 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 22.0000 | 1.15153 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 3.50000 | + | 6.06218i | 0.182699 | + | 0.316443i | 0.942799 | − | 0.333363i | \(-0.108183\pi\) |
−0.760100 | + | 0.649806i | \(0.774850\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 1.00000 | − | 1.73205i | 0.0520579 | − | 0.0901670i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 16.0000 | + | 13.8564i | 0.830679 | + | 0.719389i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −6.50000 | + | 11.2583i | −0.336557 | + | 0.582934i | −0.983783 | − | 0.179364i | \(-0.942596\pi\) |
0.647225 | + | 0.762299i | \(0.275929\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −6.00000 | − | 10.3923i | −0.309839 | − | 0.536656i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 12.0000 | 0.618031 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 15.0000 | 0.770498 | 0.385249 | − | 0.922813i | \(-0.374116\pi\) | ||||
0.385249 | + | 0.922813i | \(0.374116\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0.500000 | + | 0.866025i | 0.0256158 | + | 0.0443678i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −30.0000 | + | 10.3923i | −1.52894 | + | 0.529641i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −0.500000 | + | 0.866025i | −0.0254164 | + | 0.0440225i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −13.0000 | − | 22.5167i | −0.659126 | − | 1.14164i | −0.980842 | − | 0.194804i | \(-0.937593\pi\) |
0.321716 | − | 0.946836i | \(-0.395740\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −16.0000 | −0.809155 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −14.0000 | −0.706207 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 1.00000 | + | 1.73205i | 0.0503155 | + | 0.0871489i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −2.50000 | + | 4.33013i | −0.125471 | + | 0.217323i | −0.921917 | − | 0.387387i | \(-0.873378\pi\) |
0.796446 | + | 0.604710i | \(0.206711\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 12.5000 | − | 4.33013i | 0.625783 | − | 0.216777i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −10.5000 | − | 18.1865i | −0.523042 | − | 0.905936i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −2.00000 | −0.0993808 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 54.0000 | 2.67668 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 1.50000 | + | 2.59808i | 0.0741702 | + | 0.128467i | 0.900725 | − | 0.434389i | \(-0.143036\pi\) |
−0.826555 | + | 0.562856i | \(0.809703\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −10.0000 | + | 17.3205i | −0.493264 | + | 0.854358i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −6.00000 | + | 10.3923i | −0.294528 | + | 0.510138i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −4.50000 | − | 7.79423i | −0.220366 | − | 0.381685i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −26.0000 | −1.27018 | −0.635092 | − | 0.772437i | \(-0.719038\pi\) | ||||
−0.635092 | + | 0.772437i | \(0.719038\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 35.0000 | 1.70580 | 0.852898 | − | 0.522078i | \(-0.174843\pi\) | ||||
0.852898 | + | 0.522078i | \(0.174843\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −1.00000 | − | 1.73205i | −0.0486217 | − | 0.0842152i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 2.00000 | − | 3.46410i | 0.0970143 | − | 0.168034i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 5.00000 | − | 25.9808i | 0.241967 | − | 1.25730i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −9.00000 | + | 15.5885i | −0.434524 | + | 0.752618i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 9.00000 | + | 15.5885i | 0.433515 | + | 0.750870i | 0.997173 | − | 0.0751385i | \(-0.0239399\pi\) |
−0.563658 | + | 0.826008i | \(0.690607\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 31.0000 | 1.48976 | 0.744882 | − | 0.667196i | \(-0.232506\pi\) | ||||
0.744882 | + | 0.667196i | \(0.232506\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −8.00000 | −0.383571 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 10.0000 | + | 17.3205i | 0.478365 | + | 0.828552i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −12.0000 | + | 20.7846i | −0.572729 | + | 0.991995i | 0.423556 | + | 0.905870i | \(0.360782\pi\) |
−0.996284 | + | 0.0861252i | \(0.972552\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 1.00000 | + | 6.92820i | 0.0476190 | + | 0.329914i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −8.00000 | + | 13.8564i | −0.380091 | + | 0.658338i | −0.991075 | − | 0.133306i | \(-0.957441\pi\) |
0.610984 | + | 0.791643i | \(0.290774\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −8.00000 | − | 13.8564i | −0.379236 | − | 0.656857i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −4.00000 | −0.189194 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −38.0000 | −1.79333 | −0.896665 | − | 0.442709i | \(-0.854018\pi\) | ||||
−0.896665 | + | 0.442709i | \(0.854018\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 6.00000 | + | 10.3923i | 0.282529 | + | 0.489355i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 4.00000 | − | 6.92820i | 0.187936 | − | 0.325515i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 3.00000 | − | 15.5885i | 0.140642 | − | 0.730798i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −6.50000 | + | 11.2583i | −0.304057 | + | 0.526642i | −0.977051 | − | 0.213006i | \(-0.931675\pi\) |
0.672994 | + | 0.739648i | \(0.265008\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −2.00000 | − | 3.46410i | −0.0933520 | − | 0.161690i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 12.0000 | 0.558896 | 0.279448 | − | 0.960161i | \(-0.409849\pi\) | ||||
0.279448 | + | 0.960161i | \(0.409849\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 17.0000 | 0.790057 | 0.395029 | − | 0.918669i | \(-0.370735\pi\) | ||||
0.395029 | + | 0.918669i | \(0.370735\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 7.00000 | + | 12.1244i | 0.324617 | + | 0.562254i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 15.0000 | − | 25.9808i | 0.694117 | − | 1.20225i | −0.276360 | − | 0.961054i | \(-0.589128\pi\) |
0.970477 | − | 0.241192i | \(-0.0775384\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −30.0000 | − | 25.9808i | −1.38527 | − | 1.19968i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 9.00000 | − | 15.5885i | 0.414698 | − | 0.718278i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −3.00000 | − | 5.19615i | −0.137940 | − | 0.238919i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −5.00000 | −0.229416 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −8.00000 | −0.366295 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −8.00000 | − | 13.8564i | −0.365529 | − | 0.633115i | 0.623332 | − | 0.781958i | \(-0.285779\pi\) |
−0.988861 | + | 0.148842i | \(0.952445\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −13.5000 | + | 23.3827i | −0.615547 | + | 1.06616i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −10.0000 | + | 3.46410i | −0.455016 | + | 0.157622i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −14.0000 | + | 24.2487i | −0.635707 | + | 1.10108i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −12.5000 | − | 21.6506i | −0.566429 | − | 0.981084i | −0.996915 | − | 0.0784867i | \(-0.974991\pi\) |
0.430486 | − | 0.902597i | \(-0.358342\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −4.00000 | −0.180886 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −36.0000 | −1.62466 | −0.812329 | − | 0.583200i | \(-0.801800\pi\) | ||||
−0.812329 | + | 0.583200i | \(0.801800\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −8.00000 | − | 13.8564i | −0.360302 | − | 0.624061i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 6.00000 | − | 10.3923i | 0.269680 | − | 0.467099i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −15.0000 | + | 5.19615i | −0.672842 | + | 0.233079i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −8.50000 | + | 14.7224i | −0.380512 | + | 0.659067i | −0.991136 | − | 0.132855i | \(-0.957586\pi\) |
0.610623 | + | 0.791921i | \(0.290919\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −9.00000 | − | 15.5885i | −0.402090 | − | 0.696441i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −14.0000 | −0.624229 | −0.312115 | − | 0.950044i | \(-0.601037\pi\) | ||||
−0.312115 | + | 0.950044i | \(0.601037\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −12.0000 | −0.533993 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 2.00000 | + | 3.46410i | 0.0888231 | + | 0.153846i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 3.00000 | − | 5.19615i | 0.132973 | − | 0.230315i | −0.791849 | − | 0.610718i | \(-0.790881\pi\) |
0.924821 | + | 0.380402i | \(0.124214\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 22.0000 | + | 19.0526i | 0.973223 | + | 0.842836i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −2.50000 | + | 4.33013i | −0.110378 | + | 0.191180i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −9.00000 | − | 15.5885i | −0.396587 | − | 0.686909i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 12.0000 | 0.527759 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −20.0000 | −0.877903 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 6.00000 | + | 10.3923i | 0.262865 | + | 0.455295i | 0.967002 | − | 0.254769i | \(-0.0819994\pi\) |
−0.704137 | + | 0.710064i | \(0.748666\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 14.5000 | − | 25.1147i | 0.634041 | − | 1.09819i | −0.352677 | − | 0.935745i | \(-0.614728\pi\) |
0.986718 | − | 0.162446i | \(-0.0519382\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0.500000 | − | 2.59808i | 0.0218218 | − | 0.113389i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −14.0000 | + | 24.2487i | −0.609850 | + | 1.05629i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 3.50000 | + | 6.06218i | 0.152174 | + | 0.263573i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −6.00000 | −0.259889 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 12.0000 | + | 20.7846i | 0.518805 | + | 0.898597i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 13.0000 | − | 22.5167i | 0.560991 | − | 0.971666i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −39.0000 | − | 15.5885i | −1.67985 | − | 0.671442i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 0.500000 | − | 0.866025i | 0.0214967 | − | 0.0372333i | −0.855077 | − | 0.518501i | \(-0.826490\pi\) |
0.876574 | + | 0.481268i | \(0.159824\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −3.50000 | − | 6.06218i | −0.150199 | − | 0.260153i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −22.0000 | −0.942376 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −4.00000 | −0.171028 | −0.0855138 | − | 0.996337i | \(-0.527253\pi\) | ||||
−0.0855138 | + | 0.996337i | \(0.527253\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 5.00000 | + | 8.66025i | 0.213395 | + | 0.369611i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −10.0000 | + | 17.3205i | −0.426014 | + | 0.737878i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −0.500000 | + | 2.59808i | −0.0212622 | + | 0.110481i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 9.00000 | − | 15.5885i | 0.382029 | − | 0.661693i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −1.00000 | − | 1.73205i | −0.0423714 | − | 0.0733893i | 0.844062 | − | 0.536246i | \(-0.180158\pi\) |
−0.886433 | + | 0.462856i | \(0.846825\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 3.00000 | 0.126886 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 24.0000 | 1.01328 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −1.00000 | − | 1.73205i | −0.0421450 | − | 0.0729972i | 0.844183 | − | 0.536054i | \(-0.180086\pi\) |
−0.886328 | + | 0.463057i | \(0.846752\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 6.00000 | − | 10.3923i | 0.252422 | − | 0.437208i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −2.00000 | − | 1.73205i | −0.0839921 | − | 0.0727393i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 9.00000 | − | 15.5885i | 0.377300 | − | 0.653502i | −0.613369 | − | 0.789797i | \(-0.710186\pi\) |
0.990668 | + | 0.136295i | \(0.0435194\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 11.5000 | + | 19.9186i | 0.481260 | + | 0.833567i | 0.999769 | − | 0.0215055i | \(-0.00684595\pi\) |
−0.518509 | + | 0.855072i | \(0.673513\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 10.0000 | 0.417756 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 4.00000 | 0.166812 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −19.5000 | − | 33.7750i | −0.811796 | − | 1.40607i | −0.911606 | − | 0.411065i | \(-0.865157\pi\) |
0.0998105 | − | 0.995006i | \(-0.468176\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −1.50000 | + | 2.59808i | −0.0623379 | + | 0.107972i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −15.0000 | + | 5.19615i | −0.622305 | + | 0.215573i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 24.0000 | − | 41.5692i | 0.993978 | − | 1.72162i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 3.00000 | + | 5.19615i | 0.124035 | + | 0.214834i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −16.0000 | −0.660391 | −0.330195 | − | 0.943913i | \(-0.607115\pi\) | ||||
−0.330195 | + | 0.943913i | \(0.607115\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 35.0000 | 1.44215 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −6.00000 | − | 10.3923i | −0.246807 | − | 0.427482i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 15.0000 | − | 25.9808i | 0.615976 | − | 1.06690i | −0.374236 | − | 0.927333i | \(-0.622095\pi\) |
0.990212 | − | 0.139569i | \(-0.0445716\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −20.0000 | + | 6.92820i | −0.819920 | + | 0.284029i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 8.00000 | − | 13.8564i | 0.327418 | − | 0.567105i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −2.00000 | − | 3.46410i | −0.0817178 | − | 0.141539i | 0.822270 | − | 0.569097i | \(-0.192707\pi\) |
−0.903988 | + | 0.427558i | \(0.859374\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 31.0000 | 1.26452 | 0.632258 | − | 0.774758i | \(-0.282128\pi\) | ||||
0.632258 | + | 0.774758i | \(0.282128\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 15.0000 | 0.610847 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 25.0000 | + | 43.3013i | 1.01639 | + | 1.76045i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −0.500000 | + | 0.866025i | −0.0202944 | + | 0.0351509i | −0.875994 | − | 0.482322i | \(-0.839794\pi\) |
0.855700 | + | 0.517472i | \(0.173127\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −8.00000 | − | 6.92820i | −0.324176 | − | 0.280745i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −3.00000 | + | 5.19615i | −0.121367 | + | 0.210214i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −19.0000 | − | 32.9090i | −0.767403 | − | 1.32918i | −0.938967 | − | 0.344008i | \(-0.888215\pi\) |
0.171564 | − | 0.985173i | \(-0.445118\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 4.00000 | 0.161296 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −6.00000 | −0.241551 | −0.120775 | − | 0.992680i | \(-0.538538\pi\) | ||||
−0.120775 | + | 0.992680i | \(0.538538\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 4.50000 | + | 7.79423i | 0.180870 | + | 0.313276i | 0.942177 | − | 0.335115i | \(-0.108775\pi\) |
−0.761307 | + | 0.648392i | \(0.775442\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 2.00000 | − | 3.46410i | 0.0802572 | − | 0.139010i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 4.00000 | − | 20.7846i | 0.160257 | − | 0.832718i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 9.50000 | − | 16.4545i | 0.380000 | − | 0.658179i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −15.0000 | − | 25.9808i | −0.599042 | − | 1.03757i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 36.0000 | 1.43541 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −40.0000 | −1.59237 | −0.796187 | − | 0.605050i | \(-0.793153\pi\) | ||||
−0.796187 | + | 0.605050i | \(0.793153\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −2.00000 | − | 3.46410i | −0.0794929 | − | 0.137686i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −1.00000 | + | 1.73205i | −0.0396838 | + | 0.0687343i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 16.5000 | − | 12.9904i | 0.653754 | − | 0.514698i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 3.00000 | − | 5.19615i | 0.118678 | − | 0.205557i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 10.0000 | + | 17.3205i | 0.394976 | + | 0.684119i | 0.993098 | − | 0.117286i | \(-0.0374195\pi\) |
−0.598122 | + | 0.801405i | \(0.704086\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 17.0000 | 0.670415 | 0.335207 | − | 0.942144i | \(-0.391194\pi\) | ||||
0.335207 | + | 0.942144i | \(0.391194\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −2.00000 | −0.0787499 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 9.00000 | + | 15.5885i | 0.353827 | + | 0.612845i | 0.986916 | − | 0.161233i | \(-0.0515470\pi\) |
−0.633090 | + | 0.774078i | \(0.718214\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −3.50000 | + | 18.1865i | −0.137176 | + | 0.712786i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −11.0000 | + | 19.0526i | −0.430463 | + | 0.745584i | −0.996913 | − | 0.0785119i | \(-0.974983\pi\) |
0.566450 | + | 0.824096i | \(0.308316\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −14.0000 | − | 24.2487i | −0.547025 | − | 0.947476i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −11.0000 | −0.429151 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 40.0000 | 1.55818 | 0.779089 | − | 0.626913i | \(-0.215682\pi\) | ||||
0.779089 | + | 0.626913i | \(0.215682\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 17.5000 | + | 30.3109i | 0.680671 | + | 1.17896i | 0.974776 | + | 0.223184i | \(0.0716450\pi\) |
−0.294105 | + | 0.955773i | \(0.595022\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −6.00000 | + | 10.3923i | −0.233021 | + | 0.403604i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 20.0000 | + | 17.3205i | 0.775567 | + | 0.671660i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 8.00000 | − | 13.8564i | 0.309761 | − | 0.536522i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −12.0000 | − | 20.7846i | −0.463947 | − | 0.803579i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −60.0000 | −2.31627 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 7.00000 | 0.269830 | 0.134915 | − | 0.990857i | \(-0.456924\pi\) | ||||
0.134915 | + | 0.990857i | \(0.456924\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0.500000 | + | 0.866025i | 0.0192450 | + | 0.0333333i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 6.00000 | − | 10.3923i | 0.230599 | − | 0.399409i | −0.727386 | − | 0.686229i | \(-0.759265\pi\) |
0.957984 | + | 0.286820i | \(0.0925982\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −35.0000 | + | 12.1244i | −1.34318 | + | 0.465290i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 7.00000 | − | 12.1244i | 0.268241 | − | 0.464606i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −40.0000 | −1.52832 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 7.00000 | 0.267067 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 12.0000 | + | 20.7846i | 0.457164 | + | 0.791831i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −3.50000 | + | 6.06218i | −0.133146 | + | 0.230616i | −0.924888 | − | 0.380240i | \(-0.875841\pi\) |
0.791742 | + | 0.610856i | \(0.209175\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 15.0000 | − | 5.19615i | 0.569803 | − | 0.197386i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 9.00000 | − | 15.5885i | 0.341389 | − | 0.591304i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 4.00000 | + | 6.92820i | 0.151511 | + | 0.262424i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 26.0000 | 0.983410 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −28.0000 | −1.05755 | −0.528773 | − | 0.848763i | \(-0.677348\pi\) | ||||
−0.528773 | + | 0.848763i | \(0.677348\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −22.5000 | − | 38.9711i | −0.848604 | − | 1.46982i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 2.00000 | − | 3.46410i | 0.0753244 | − | 0.130466i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −12.0000 | − | 10.3923i | −0.451306 | − | 0.390843i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −25.0000 | + | 43.3013i | −0.938895 | + | 1.62621i | −0.171358 | + | 0.985209i | \(0.554815\pi\) |
−0.767537 | + | 0.641004i | \(0.778518\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −0.500000 | − | 0.866025i | −0.0187515 | − | 0.0324785i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −28.0000 | −1.04861 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −36.0000 | −1.34632 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −1.00000 | − | 1.73205i | −0.0373457 | − | 0.0646846i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 15.0000 | − | 25.9808i | 0.559406 | − | 0.968919i | −0.438141 | − | 0.898906i | \(-0.644363\pi\) |
0.997546 | − | 0.0700124i | \(-0.0223039\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 4.50000 | − | 23.3827i | 0.167589 | − | 0.870817i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 1.00000 | − | 1.73205i | 0.0371904 | − | 0.0644157i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 2.00000 | + | 3.46410i | 0.0742781 | + | 0.128654i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 5.00000 | 0.185440 | 0.0927199 | − | 0.995692i | \(-0.470444\pi\) | ||||
0.0927199 | + | 0.995692i | \(0.470444\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −2.00000 | − | 3.46410i | −0.0739727 | − | 0.128124i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −5.50000 | + | 9.52628i | −0.203147 | + | 0.351861i | −0.949541 | − | 0.313644i | \(-0.898450\pi\) |
0.746394 | + | 0.665505i | \(0.231784\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −11.0000 | + | 8.66025i | −0.405741 | + | 0.319438i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −45.0000 | + | 77.9423i | −1.65760 | + | 2.87104i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −2.50000 | − | 4.33013i | −0.0919640 | − | 0.159286i | 0.816373 | − | 0.577524i | \(-0.195981\pi\) |
−0.908337 | + | 0.418238i | \(0.862648\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 15.0000 | 0.551039 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −34.0000 | −1.24734 | −0.623670 | − | 0.781688i | \(-0.714359\pi\) | ||||
−0.623670 | + | 0.781688i | \(0.714359\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −4.00000 | − | 6.92820i | −0.146549 | − | 0.253830i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 3.00000 | − | 5.19615i | 0.109764 | − | 0.190117i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −6.00000 | + | 31.1769i | −0.219235 | + | 1.13918i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 18.5000 | − | 32.0429i | 0.675075 | − | 1.16926i | −0.301373 | − | 0.953506i | \(-0.597445\pi\) |
0.976447 | − | 0.215757i | \(-0.0692219\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 2.00000 | + | 3.46410i | 0.0728841 | + | 0.126239i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 16.0000 | 0.582300 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −10.0000 | −0.363456 | −0.181728 | − | 0.983349i | \(-0.558169\pi\) | ||||
−0.181728 | + | 0.983349i | \(0.558169\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 12.0000 | + | 20.7846i | 0.435572 | + | 0.754434i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 6.00000 | − | 10.3923i | 0.217500 | − | 0.376721i | −0.736543 | − | 0.676391i | \(-0.763543\pi\) |
0.954043 | + | 0.299670i | \(0.0968765\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −22.0000 | − | 19.0526i | −0.796453 | − | 0.689749i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 4.00000 | − | 6.92820i | 0.144620 | − | 0.250490i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 7.00000 | 0.252426 | 0.126213 | − | 0.992003i | \(-0.459718\pi\) | ||||
0.126213 | + | 0.992003i | \(0.459718\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −18.0000 | −0.648254 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −25.0000 | − | 43.3013i | −0.899188 | − | 1.55744i | −0.828535 | − | 0.559937i | \(-0.810825\pi\) |
−0.0706526 | − | 0.997501i | \(-0.522508\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 3.50000 | − | 6.06218i | 0.125724 | − | 0.217760i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 22.5000 | − | 7.79423i | 0.807183 | − | 0.279616i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 5.00000 | − | 8.66025i | 0.179144 | − | 0.310286i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 18.0000 | + | 31.1769i | 0.644091 | + | 1.11560i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 4.00000 | 0.142948 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 36.0000 | 1.28490 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −16.0000 | − | 27.7128i | −0.570338 | − | 0.987855i | −0.996531 | − | 0.0832226i | \(-0.973479\pi\) |
0.426193 | − | 0.904632i | \(-0.359855\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 6.00000 | − | 10.3923i | 0.213606 | − | 0.369976i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 15.0000 | − | 5.19615i | 0.533339 | − | 0.184754i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 15.0000 | − | 25.9808i | 0.532666 | − | 0.922604i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −8.00000 | − | 13.8564i | −0.283731 | − | 0.491436i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −12.0000 | −0.425062 | −0.212531 | − | 0.977154i | \(-0.568171\pi\) | ||||
−0.212531 | + | 0.977154i | \(0.568171\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 8.00000 | 0.283020 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 4.00000 | + | 6.92820i | 0.141333 | + | 0.244796i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 33.0000 | − | 57.1577i | 1.16454 | − | 2.01705i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −16.0000 | − | 13.8564i | −0.563926 | − | 0.488374i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −9.00000 | + | 15.5885i | −0.316815 | + | 0.548740i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 15.0000 | + | 25.9808i | 0.527372 | + | 0.913435i | 0.999491 | + | 0.0319002i | \(0.0101559\pi\) |
−0.472119 | + | 0.881535i | \(0.656511\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −24.0000 | −0.842754 | −0.421377 | − | 0.906886i | \(-0.638453\pi\) | ||||
−0.421377 | + | 0.906886i | \(0.638453\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 8.00000 | 0.280572 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −4.00000 | − | 6.92820i | −0.140114 | − | 0.242684i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −2.50000 | + | 4.33013i | −0.0874639 | + | 0.151492i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −1.50000 | + | 7.79423i | −0.0524142 | + | 0.272352i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −9.00000 | + | 15.5885i | −0.314102 | + | 0.544041i | −0.979246 | − | 0.202674i | \(-0.935037\pi\) |
0.665144 | + | 0.746715i | \(0.268370\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −4.00000 | − | 6.92820i | −0.139431 | − | 0.241502i | 0.787850 | − | 0.615867i | \(-0.211194\pi\) |
−0.927281 | + | 0.374365i | \(0.877861\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −6.00000 | −0.208893 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −18.0000 | −0.625921 | −0.312961 | − | 0.949766i | \(-0.601321\pi\) | ||||
−0.312961 | + | 0.949766i | \(0.601321\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −21.5000 | − | 37.2391i | −0.746726 | − | 1.29337i | −0.949384 | − | 0.314118i | \(-0.898291\pi\) |
0.202658 | − | 0.979250i | \(-0.435042\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0.500000 | − | 0.866025i | 0.0173448 | − | 0.0300421i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −26.0000 | − | 10.3923i | −0.900847 | − | 0.360072i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 18.0000 | − | 31.1769i | 0.622916 | − | 1.07892i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −3.50000 | − | 6.06218i | −0.120978 | − | 0.209540i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 12.0000 | 0.414286 | 0.207143 | − | 0.978311i | \(-0.433583\pi\) | ||||
0.207143 | + | 0.978311i | \(0.433583\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −13.0000 | −0.448276 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −4.00000 | + | 6.92820i | −0.137604 | + | 0.238337i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −12.5000 | + | 64.9519i | −0.429505 | + | 2.23177i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −0.500000 | + | 0.866025i | −0.0171600 | + | 0.0297219i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 18.0000 | + | 31.1769i | 0.617032 | + | 1.06873i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 17.0000 | 0.582069 | 0.291034 | − | 0.956713i | \(-0.406001\pi\) | ||||
0.291034 | + | 0.956713i | \(0.406001\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −10.0000 | −0.341993 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 8.00000 | − | 13.8564i | 0.272956 | − | 0.472774i | −0.696661 | − | 0.717400i | \(-0.745332\pi\) |
0.969618 | + | 0.244626i | \(0.0786652\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 4.00000 | + | 3.46410i | 0.136320 | + | 0.118056i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −7.00000 | + | 12.1244i | −0.238283 | + | 0.412718i | −0.960222 | − | 0.279239i | \(-0.909918\pi\) |
0.721939 | + | 0.691957i | \(0.243251\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −20.0000 | − | 34.6410i | −0.680020 | − | 1.17783i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −1.00000 | −0.0339618 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 6.00000 | 0.203536 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −22.5000 | − | 38.9711i | −0.762383 | − | 1.32049i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 7.00000 | − | 12.1244i | 0.236914 | − | 0.410347i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 30.0000 | − | 10.3923i | 1.01419 | − | 0.351324i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 1.00000 | − | 1.73205i | 0.0337676 | − | 0.0584872i | −0.848648 | − | 0.528958i | \(-0.822583\pi\) |
0.882415 | + | 0.470471i | \(0.155916\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 52.0000 | 1.75192 | 0.875962 | − | 0.482380i | \(-0.160227\pi\) | ||||
0.875962 | + | 0.482380i | \(0.160227\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −1.00000 | −0.0336527 | −0.0168263 | − | 0.999858i | \(-0.505356\pi\) | ||||
−0.0168263 | + | 0.999858i | \(0.505356\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 27.0000 | − | 46.7654i | 0.906571 | − | 1.57023i | 0.0877772 | − | 0.996140i | \(-0.472024\pi\) |
0.818794 | − | 0.574087i | \(-0.194643\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −2.50000 | + | 0.866025i | −0.0838473 | + | 0.0290456i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −3.00000 | + | 5.19615i | −0.100504 | + | 0.174078i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −5.00000 | − | 8.66025i | −0.167319 | − | 0.289804i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 52.0000 | 1.73817 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −12.0000 | −0.400668 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −14.0000 | − | 24.2487i | −0.466926 | − | 0.808740i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 16.0000 | − | 27.7128i | 0.533037 | − | 0.923248i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −2.00000 | − | 1.73205i | −0.0665558 | − | 0.0576390i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 7.00000 | − | 12.1244i | 0.232688 | − | 0.403027i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 8.50000 | + | 14.7224i | 0.282238 | + | 0.488850i | 0.971936 | − | 0.235247i | \(-0.0755899\pi\) |
−0.689698 | + | 0.724097i | \(0.742257\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 6.00000 | 0.199007 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 28.0000 | 0.927681 | 0.463841 | − | 0.885919i | \(-0.346471\pi\) | ||||
0.463841 | + | 0.885919i | \(0.346471\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 18.0000 | + | 31.1769i | 0.595713 | + | 1.03181i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −10.0000 | + | 17.3205i | −0.330590 | + | 0.572598i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 7.00000 | − | 36.3731i | 0.231160 | − | 1.20114i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −0.500000 | + | 0.866025i | −0.0164935 | + | 0.0285675i | −0.874154 | − | 0.485648i | \(-0.838584\pi\) |
0.857661 | + | 0.514216i | \(0.171917\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −5.50000 | − | 9.52628i | −0.181231 | − | 0.313902i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −18.0000 | −0.592477 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −9.00000 | −0.295918 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 4.50000 | + | 7.79423i | 0.147799 | + | 0.255996i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −29.0000 | + | 50.2295i | −0.951459 | + | 1.64798i | −0.209189 | + | 0.977875i | \(0.567082\pi\) |
−0.742271 | + | 0.670100i | \(0.766251\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 5.00000 | + | 34.6410i | 0.163868 | + | 1.13531i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 9.00000 | − | 15.5885i | 0.294647 | − | 0.510343i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 24.0000 | + | 41.5692i | 0.784884 | + | 1.35946i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −33.0000 | −1.07806 | −0.539032 | − | 0.842286i | \(-0.681210\pi\) | ||||
−0.539032 | + | 0.842286i | \(0.681210\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −1.00000 | −0.0326338 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 24.0000 | + | 41.5692i | 0.782378 | + | 1.35512i | 0.930553 | + | 0.366157i | \(0.119327\pi\) |
−0.148176 | + | 0.988961i | \(0.547340\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −4.00000 | + | 6.92820i | −0.130258 | + | 0.225613i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 1.00000 | − | 5.19615i | 0.0325300 | − | 0.169031i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −19.0000 | + | 32.9090i | −0.617417 | + | 1.06940i | 0.372538 | + | 0.928017i | \(0.378488\pi\) |
−0.989955 | + | 0.141381i | \(0.954846\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 16.5000 | + | 28.5788i | 0.535613 | + | 0.927708i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −8.00000 | −0.259145 | −0.129573 | − | 0.991570i | \(-0.541361\pi\) | ||||
−0.129573 | + | 0.991570i | \(0.541361\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 10.0000 | + | 17.3205i | 0.323592 | + | 0.560478i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −12.0000 | + | 20.7846i | −0.387905 | + | 0.671871i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −40.0000 | − | 34.6410i | −1.29167 | − | 1.11862i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −9.00000 | + | 15.5885i | −0.290323 | + | 0.502853i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −6.00000 | − | 10.3923i | −0.193347 | − | 0.334887i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −6.00000 | −0.193147 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −27.0000 | −0.868261 | −0.434131 | − | 0.900850i | \(-0.642944\pi\) | ||||
−0.434131 | + | 0.900850i | \(0.642944\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −10.0000 | − | 17.3205i | −0.321246 | − | 0.556415i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −28.0000 | + | 48.4974i | −0.898563 | + | 1.55636i | −0.0692304 | + | 0.997601i | \(0.522054\pi\) |
−0.829332 | + | 0.558756i | \(0.811279\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 22.5000 | − | 7.79423i | 0.721317 | − | 0.249871i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 1.50000 | − | 2.59808i | 0.0480384 | − | 0.0832050i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 9.00000 | + | 15.5885i | 0.287936 | + | 0.498719i | 0.973317 | − | 0.229465i | \(-0.0736978\pi\) |
−0.685381 | + | 0.728184i | \(0.740364\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −48.0000 | −1.53409 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 11.0000 | 0.351203 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 12.0000 | − | 20.7846i | 0.382352 | − | 0.662253i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 5.00000 | − | 1.73205i | 0.159152 | − | 0.0551318i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 2.00000 | − | 3.46410i | 0.0635963 | − | 0.110152i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 16.5000 | + | 28.5788i | 0.524140 | + | 0.907837i | 0.999605 | + | 0.0281022i | \(0.00894640\pi\) |
−0.475465 | + | 0.879734i | \(0.657720\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −5.00000 | −0.158670 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 32.0000 | 1.01447 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −8.50000 | − | 14.7224i | −0.269198 | − | 0.466264i | 0.699457 | − | 0.714675i | \(-0.253425\pi\) |
−0.968655 | + | 0.248410i | \(0.920092\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −4.50000 | + | 7.79423i | −0.142374 | + | 0.246598i |
(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 | 1344.2.q.i.961.1 | 2 | ||
4.3 | odd | 2 | 1344.2.q.t.961.1 | 2 | |||
7.2 | even | 3 | 9408.2.a.cd.1.1 | 1 | |||
7.4 | even | 3 | inner | 1344.2.q.i.193.1 | 2 | ||
7.5 | odd | 6 | 9408.2.a.bk.1.1 | 1 | |||
8.3 | odd | 2 | 336.2.q.a.289.1 | 2 | |||
8.5 | even | 2 | 168.2.q.b.121.1 | yes | 2 | ||
24.5 | odd | 2 | 504.2.s.g.289.1 | 2 | |||
24.11 | even | 2 | 1008.2.s.m.289.1 | 2 | |||
28.11 | odd | 6 | 1344.2.q.t.193.1 | 2 | |||
28.19 | even | 6 | 9408.2.a.cs.1.1 | 1 | |||
28.23 | odd | 6 | 9408.2.a.f.1.1 | 1 | |||
56.3 | even | 6 | 2352.2.q.v.1537.1 | 2 | |||
56.5 | odd | 6 | 1176.2.a.e.1.1 | 1 | |||
56.11 | odd | 6 | 336.2.q.a.193.1 | 2 | |||
56.13 | odd | 2 | 1176.2.q.e.961.1 | 2 | |||
56.19 | even | 6 | 2352.2.a.e.1.1 | 1 | |||
56.27 | even | 2 | 2352.2.q.v.961.1 | 2 | |||
56.37 | even | 6 | 1176.2.a.d.1.1 | 1 | |||
56.45 | odd | 6 | 1176.2.q.e.361.1 | 2 | |||
56.51 | odd | 6 | 2352.2.a.x.1.1 | 1 | |||
56.53 | even | 6 | 168.2.q.b.25.1 | ✓ | 2 | ||
168.5 | even | 6 | 3528.2.a.y.1.1 | 1 | |||
168.11 | even | 6 | 1008.2.s.m.865.1 | 2 | |||
168.53 | odd | 6 | 504.2.s.g.361.1 | 2 | |||
168.101 | even | 6 | 3528.2.s.d.361.1 | 2 | |||
168.107 | even | 6 | 7056.2.a.i.1.1 | 1 | |||
168.125 | even | 2 | 3528.2.s.d.3313.1 | 2 | |||
168.131 | odd | 6 | 7056.2.a.bn.1.1 | 1 | |||
168.149 | odd | 6 | 3528.2.a.f.1.1 | 1 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
168.2.q.b.25.1 | ✓ | 2 | 56.53 | even | 6 | ||
168.2.q.b.121.1 | yes | 2 | 8.5 | even | 2 | ||
336.2.q.a.193.1 | 2 | 56.11 | odd | 6 | |||
336.2.q.a.289.1 | 2 | 8.3 | odd | 2 | |||
504.2.s.g.289.1 | 2 | 24.5 | odd | 2 | |||
504.2.s.g.361.1 | 2 | 168.53 | odd | 6 | |||
1008.2.s.m.289.1 | 2 | 24.11 | even | 2 | |||
1008.2.s.m.865.1 | 2 | 168.11 | even | 6 | |||
1176.2.a.d.1.1 | 1 | 56.37 | even | 6 | |||
1176.2.a.e.1.1 | 1 | 56.5 | odd | 6 | |||
1176.2.q.e.361.1 | 2 | 56.45 | odd | 6 | |||
1176.2.q.e.961.1 | 2 | 56.13 | odd | 2 | |||
1344.2.q.i.193.1 | 2 | 7.4 | even | 3 | inner | ||
1344.2.q.i.961.1 | 2 | 1.1 | even | 1 | trivial | ||
1344.2.q.t.193.1 | 2 | 28.11 | odd | 6 | |||
1344.2.q.t.961.1 | 2 | 4.3 | odd | 2 | |||
2352.2.a.e.1.1 | 1 | 56.19 | even | 6 | |||
2352.2.a.x.1.1 | 1 | 56.51 | odd | 6 | |||
2352.2.q.v.961.1 | 2 | 56.27 | even | 2 | |||
2352.2.q.v.1537.1 | 2 | 56.3 | even | 6 | |||
3528.2.a.f.1.1 | 1 | 168.149 | odd | 6 | |||
3528.2.a.y.1.1 | 1 | 168.5 | even | 6 | |||
3528.2.s.d.361.1 | 2 | 168.101 | even | 6 | |||
3528.2.s.d.3313.1 | 2 | 168.125 | even | 2 | |||
7056.2.a.i.1.1 | 1 | 168.107 | even | 6 | |||
7056.2.a.bn.1.1 | 1 | 168.131 | odd | 6 | |||
9408.2.a.f.1.1 | 1 | 28.23 | odd | 6 | |||
9408.2.a.bk.1.1 | 1 | 7.5 | odd | 6 | |||
9408.2.a.cd.1.1 | 1 | 7.2 | even | 3 | |||
9408.2.a.cs.1.1 | 1 | 28.19 | even | 6 |