Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1680,2,Mod(97,1680)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1680, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 0, 0, 1, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1680.97");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1680 = 2^{4} \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1680.cz (of order \(4\), 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: | \(13.4148675396\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(i)\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 4x^{14} + 6x^{12} - 12x^{10} + 33x^{8} - 48x^{6} + 96x^{4} - 256x^{2} + 256 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{8} \) |
Twist minimal: | no (minimal twist has level 105) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 433.1 | ||
Root | \(0.944649 + 1.05244i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1680.433 |
Dual form | 1680.2.cz.d.97.1 |
$q$-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 \(\left(\mathbb{Z}/1680\mathbb{Z}\right)^\times\).
\(n\) | \(241\) | \(337\) | \(421\) | \(1121\) | \(1471\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) | \(1\) | \(1\) | \(1\) |
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 | ||||||||
\(3\) | −0.707107 | + | 0.707107i | −0.408248 | + | 0.408248i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.28999 | + | 1.82645i | −0.576899 | + | 0.816815i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.97552 | − | 1.75993i | 0.746675 | − | 0.665189i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | − | 1.00000i | − | 0.333333i | ||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.67187 | 0.805600 | 0.402800 | − | 0.915288i | \(-0.368037\pi\) | ||||
0.402800 | + | 0.915288i | \(0.368037\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.22714 | − | 1.22714i | 0.340348 | − | 0.340348i | −0.516150 | − | 0.856498i | \(-0.672635\pi\) |
0.856498 | + | 0.516150i | \(0.172635\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.379340 | − | 2.20366i | −0.0979452 | − | 0.568982i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −4.74624 | − | 4.74624i | −1.15113 | − | 1.15113i | −0.986326 | − | 0.164807i | \(-0.947300\pi\) |
−0.164807 | − | 0.986326i | \(-0.552700\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −6.01729 | −1.38046 | −0.690231 | − | 0.723589i | \(-0.742491\pi\) | ||||
−0.690231 | + | 0.723589i | \(0.742491\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.152445 | + | 2.64136i | −0.0332662 | + | 0.576391i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0.175684 | + | 0.175684i | 0.0366327 | + | 0.0366327i | 0.725186 | − | 0.688553i | \(-0.241754\pi\) |
−0.688553 | + | 0.725186i | \(0.741754\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.67187 | − | 4.71220i | −0.334374 | − | 0.942440i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0.707107 | + | 0.707107i | 0.136083 | + | 0.136083i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 0.304889i | 0.0566165i | 0.999599 | + | 0.0283083i | \(0.00901200\pi\) | ||||
−0.999599 | + | 0.0283083i | \(0.990988\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 7.25379i | − | 1.30282i | −0.758726 | − | 0.651410i | \(-0.774178\pi\) | ||
0.758726 | − | 0.651410i | \(-0.225822\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −1.88930 | + | 1.88930i | −0.328885 | + | 0.328885i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0.666037 | + | 5.87847i | 0.112581 | + | 0.993643i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.735441 | + | 0.735441i | −0.120906 | + | 0.120906i | −0.764971 | − | 0.644065i | \(-0.777247\pi\) |
0.644065 | + | 0.764971i | \(0.277247\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 1.73544i | 0.277893i | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 7.05736i | 1.10217i | 0.834447 | + | 0.551087i | \(0.185787\pi\) | ||||
−0.834447 | + | 0.551087i | \(0.814213\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.304889 | − | 0.304889i | −0.0464952 | − | 0.0464952i | 0.683477 | − | 0.729972i | \(-0.260467\pi\) |
−0.729972 | + | 0.683477i | \(0.760467\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 1.82645 | + | 1.28999i | 0.272272 | + | 0.192300i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −0.556866 | − | 0.556866i | −0.0812273 | − | 0.0812273i | 0.665326 | − | 0.746553i | \(-0.268293\pi\) |
−0.746553 | + | 0.665326i | \(0.768293\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.805321 | − | 6.95352i | 0.115046 | − | 0.993360i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 6.71220 | 0.939896 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −4.99031 | − | 4.99031i | −0.685472 | − | 0.685472i | 0.275756 | − | 0.961228i | \(-0.411072\pi\) |
−0.961228 | + | 0.275756i | \(0.911072\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −3.44668 | + | 4.88005i | −0.464750 | + | 0.658026i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 4.25487 | − | 4.25487i | 0.563571 | − | 0.563571i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 7.98837 | 1.04000 | 0.519999 | − | 0.854167i | \(-0.325932\pi\) | ||||
0.519999 | + | 0.854167i | \(0.325932\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | − | 5.53409i | − | 0.708567i | −0.935138 | − | 0.354284i | \(-0.884725\pi\) | ||
0.935138 | − | 0.354284i | \(-0.115275\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −1.75993 | − | 1.97552i | −0.221730 | − | 0.248892i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 0.658323 | + | 3.82432i | 0.0816549 | + | 0.474348i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 3.43055 | − | 3.43055i | 0.419109 | − | 0.419109i | −0.465788 | − | 0.884896i | \(-0.654229\pi\) |
0.884896 | + | 0.465788i | \(0.154229\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −0.248455 | −0.0299104 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −15.3087 | −1.81681 | −0.908407 | − | 0.418087i | \(-0.862701\pi\) | ||||
−0.908407 | + | 0.418087i | \(0.862701\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 10.0208 | − | 10.0208i | 1.17285 | − | 1.17285i | 0.191323 | − | 0.981527i | \(-0.438722\pi\) |
0.981527 | − | 0.191323i | \(-0.0612778\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 4.51422 | + | 2.14984i | 0.521257 | + | 0.248242i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 5.27832 | − | 4.70230i | 0.601521 | − | 0.535876i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | − | 11.2973i | − | 1.27104i | −0.772084 | − | 0.635521i | \(-0.780785\pi\) | ||
0.772084 | − | 0.635521i | \(-0.219215\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −1.00000 | −0.111111 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 4.88941 | − | 4.88941i | 0.536682 | − | 0.536682i | −0.385871 | − | 0.922553i | \(-0.626099\pi\) |
0.922553 | + | 0.385871i | \(0.126099\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 14.7914 | − | 2.54621i | 1.60435 | − | 0.276175i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −0.215589 | − | 0.215589i | −0.0231136 | − | 0.0231136i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 6.91251 | 0.732725 | 0.366363 | − | 0.930472i | \(-0.380603\pi\) | ||||
0.366363 | + | 0.930472i | \(0.380603\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.264559 | − | 4.58392i | 0.0277333 | − | 0.480525i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 5.12921 | + | 5.12921i | 0.531874 | + | 0.531874i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 7.76222 | − | 10.9903i | 0.796387 | − | 1.12758i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −8.84137 | − | 8.84137i | −0.897705 | − | 0.897705i | 0.0975276 | − | 0.995233i | \(-0.468907\pi\) |
−0.995233 | + | 0.0975276i | \(0.968907\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | − | 2.67187i | − | 0.268533i | ||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 7.22962i | 0.719374i | 0.933073 | + | 0.359687i | \(0.117117\pi\) | ||||
−0.933073 | + | 0.359687i | \(0.882883\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 6.94538 | − | 6.94538i | 0.684349 | − | 0.684349i | −0.276628 | − | 0.960977i | \(-0.589217\pi\) |
0.960977 | + | 0.276628i | \(0.0892171\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −4.62766 | − | 3.68575i | −0.451614 | − | 0.359692i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 7.47295 | − | 7.47295i | 0.722437 | − | 0.722437i | −0.246664 | − | 0.969101i | \(-0.579334\pi\) |
0.969101 | + | 0.246664i | \(0.0793344\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 5.95352i | 0.570244i | 0.958491 | + | 0.285122i | \(0.0920341\pi\) | ||||
−0.958491 | + | 0.285122i | \(0.907966\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | − | 1.04007i | − | 0.0987192i | ||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 6.99031 | + | 6.99031i | 0.657593 | + | 0.657593i | 0.954810 | − | 0.297217i | \(-0.0960585\pi\) |
−0.297217 | + | 0.954810i | \(0.596058\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.547509 | + | 0.0942489i | −0.0510555 | + | 0.00878876i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −1.22714 | − | 1.22714i | −0.113449 | − | 0.113449i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −17.7293 | − | 1.02324i | −1.62524 | − | 0.0938002i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −3.86110 | −0.351009 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −4.99031 | − | 4.99031i | −0.449961 | − | 0.449961i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 10.7633 | + | 3.02508i | 0.962700 | + | 0.270571i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −2.86110 | + | 2.86110i | −0.253882 | + | 0.253882i | −0.822560 | − | 0.568678i | \(-0.807455\pi\) |
0.568678 | + | 0.822560i | \(0.307455\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0.431179 | 0.0379632 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 9.34764i | 0.816707i | 0.912824 | + | 0.408353i | \(0.133897\pi\) | ||||
−0.912824 | + | 0.408353i | \(0.866103\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −11.8873 | + | 10.5900i | −1.03076 | + | 0.918268i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −2.20366 | + | 0.379340i | −0.189661 | + | 0.0326484i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 7.51943 | − | 7.51943i | 0.642428 | − | 0.642428i | −0.308724 | − | 0.951152i | \(-0.599902\pi\) |
0.951152 | + | 0.308724i | \(0.0999019\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −7.78902 | −0.660656 | −0.330328 | − | 0.943866i | \(-0.607159\pi\) | ||||
−0.330328 | + | 0.943866i | \(0.607159\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.787528 | 0.0663218 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 3.27877 | − | 3.27877i | 0.274184 | − | 0.274184i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.556866 | − | 0.393303i | −0.0462452 | − | 0.0326620i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 4.34743 | + | 5.48633i | 0.358570 | + | 0.452505i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | − | 14.2855i | − | 1.17031i | −0.810920 | − | 0.585157i | \(-0.801033\pi\) | ||
0.810920 | − | 0.585157i | \(-0.198967\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −9.77990 | −0.795877 | −0.397939 | − | 0.917412i | \(-0.630274\pi\) | ||||
−0.397939 | + | 0.917412i | \(0.630274\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −4.74624 | + | 4.74624i | −0.383711 | + | 0.383711i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 13.2487 | + | 9.35729i | 1.06416 | + | 0.751596i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 2.17731 | + | 2.17731i | 0.173768 | + | 0.173768i | 0.788633 | − | 0.614864i | \(-0.210789\pi\) |
−0.614864 | + | 0.788633i | \(0.710789\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 7.05736 | 0.559685 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0.656257 | + | 0.0378756i | 0.0517203 | + | 0.00298502i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 13.6757 | + | 13.6757i | 1.07117 | + | 1.07117i | 0.997266 | + | 0.0739001i | \(0.0235446\pi\) |
0.0739001 | + | 0.997266i | \(0.476455\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −1.01355 | − | 5.88789i | −0.0789046 | − | 0.458371i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 6.23288 | + | 6.23288i | 0.482315 | + | 0.482315i | 0.905870 | − | 0.423555i | \(-0.139218\pi\) |
−0.423555 | + | 0.905870i | \(0.639218\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 9.98824i | 0.768326i | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 6.01729i | 0.460154i | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 6.76935 | − | 6.76935i | 0.514664 | − | 0.514664i | −0.401288 | − | 0.915952i | \(-0.631437\pi\) |
0.915952 | + | 0.401288i | \(0.131437\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −11.5959 | − | 6.36666i | −0.876570 | − | 0.481274i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −5.64863 | + | 5.64863i | −0.424577 | + | 0.424577i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 1.30103i | 0.0972437i | 0.998817 | + | 0.0486218i | \(0.0154829\pi\) | ||||
−0.998817 | + | 0.0486218i | \(0.984517\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 8.48528i | − | 0.630706i | −0.948974 | − | 0.315353i | \(-0.897877\pi\) | ||
0.948974 | − | 0.315353i | \(-0.102123\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 3.91319 | + | 3.91319i | 0.289271 | + | 0.289271i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −0.394541 | − | 2.29196i | −0.0290072 | − | 0.168508i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −12.6814 | − | 12.6814i | −0.927352 | − | 0.927352i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 2.64136 | + | 0.152445i | 0.192130 | + | 0.0110887i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −1.93791 | −0.140222 | −0.0701110 | − | 0.997539i | \(-0.522335\pi\) | ||||
−0.0701110 | + | 0.997539i | \(0.522335\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −7.82786 | − | 7.82786i | −0.563462 | − | 0.563462i | 0.366827 | − | 0.930289i | \(-0.380444\pi\) |
−0.930289 | + | 0.366827i | \(0.880444\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −3.16970 | − | 2.23870i | −0.226987 | − | 0.160316i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −8.50767 | + | 8.50767i | −0.606146 | + | 0.606146i | −0.941937 | − | 0.335790i | \(-0.890997\pi\) |
0.335790 | + | 0.941937i | \(0.390997\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 3.25460 | 0.230712 | 0.115356 | − | 0.993324i | \(-0.463199\pi\) | ||||
0.115356 | + | 0.993324i | \(0.463199\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 4.85153i | 0.342201i | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0.536583 | + | 0.602314i | 0.0376607 | + | 0.0422741i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −12.8900 | − | 9.10390i | −0.900273 | − | 0.635844i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0.175684 | − | 0.175684i | 0.0122109 | − | 0.0122109i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −16.0774 | −1.11210 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 17.2508 | 1.18759 | 0.593797 | − | 0.804615i | \(-0.297628\pi\) | ||||
0.593797 | + | 0.804615i | \(0.297628\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 10.8249 | − | 10.8249i | 0.741711 | − | 0.741711i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0.950169 | − | 0.163563i | 0.0648010 | − | 0.0111549i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −12.7661 | − | 14.3300i | −0.866622 | − | 0.972782i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 14.1716i | 0.957628i | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −11.6486 | −0.783572 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 4.58392 | − | 4.58392i | 0.306962 | − | 0.306962i | −0.536768 | − | 0.843730i | \(-0.680355\pi\) |
0.843730 | + | 0.536768i | \(0.180355\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −4.71220 | + | 1.67187i | −0.314147 | + | 0.111458i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −14.1613 | − | 14.1613i | −0.939918 | − | 0.939918i | 0.0583764 | − | 0.998295i | \(-0.481408\pi\) |
−0.998295 | + | 0.0583764i | \(0.981408\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −28.9307 | −1.91180 | −0.955898 | − | 0.293699i | \(-0.905114\pi\) | ||||
−0.955898 | + | 0.293699i | \(0.905114\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −0.407313 | + | 7.05736i | −0.0267992 | + | 0.464340i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −4.78546 | − | 4.78546i | −0.313506 | − | 0.313506i | 0.532760 | − | 0.846266i | \(-0.321155\pi\) |
−0.846266 | + | 0.532760i | \(0.821155\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 1.73544 | − | 0.298741i | 0.113208 | − | 0.0194877i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 7.98837 | + | 7.98837i | 0.518901 | + | 0.518901i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 16.1769i | 1.04640i | 0.852210 | + | 0.523200i | \(0.175262\pi\) | ||||
−0.852210 | + | 0.523200i | \(0.824738\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 11.3707i | 0.732454i | 0.930526 | + | 0.366227i | \(0.119351\pi\) | ||||
−0.930526 | + | 0.366227i | \(0.880649\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0.707107 | − | 0.707107i | 0.0453609 | − | 0.0453609i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 11.6614 | + | 10.4408i | 0.745022 | + | 0.667040i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −7.38407 | + | 7.38407i | −0.469837 | + | 0.469837i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 6.91467i | 0.438199i | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 6.95039i | 0.438705i | 0.975646 | + | 0.219352i | \(0.0703944\pi\) | ||||
−0.975646 | + | 0.219352i | \(0.929606\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.469405 | + | 0.469405i | 0.0295112 | + | 0.0295112i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −8.65865 | + | 12.2595i | −0.542226 | + | 0.767722i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 10.0889 | + | 10.0889i | 0.629329 | + | 0.629329i | 0.947899 | − | 0.318570i | \(-0.103203\pi\) |
−0.318570 | + | 0.947899i | \(0.603203\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.158553 | + | 2.74720i | −0.00985202 | + | 0.170703i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0.304889 | 0.0188722 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −18.1984 | − | 18.1984i | −1.12216 | − | 1.12216i | −0.991416 | − | 0.130744i | \(-0.958263\pi\) |
−0.130744 | − | 0.991416i | \(-0.541737\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 15.5520 | − | 2.67714i | 0.955352 | − | 0.164456i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −4.88789 | + | 4.88789i | −0.299134 | + | 0.299134i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −15.5119 | −0.945775 | −0.472888 | − | 0.881123i | \(-0.656788\pi\) | ||||
−0.472888 | + | 0.881123i | \(0.656788\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 13.3418i | 0.810458i | 0.914215 | + | 0.405229i | \(0.132808\pi\) | ||||
−0.914215 | + | 0.405229i | \(0.867192\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 3.05425 | + | 3.42839i | 0.184852 | + | 0.207496i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −4.46702 | − | 12.5904i | −0.269372 | − | 0.759229i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −2.00561 | + | 2.00561i | −0.120505 | + | 0.120505i | −0.764788 | − | 0.644282i | \(-0.777156\pi\) |
0.644282 | + | 0.764788i | \(0.277156\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −7.25379 | −0.434273 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 13.5557 | 0.808664 | 0.404332 | − | 0.914612i | \(-0.367504\pi\) | ||||
0.404332 | + | 0.914612i | \(0.367504\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 16.2444 | − | 16.2444i | 0.965627 | − | 0.965627i | −0.0338017 | − | 0.999429i | \(-0.510761\pi\) |
0.999429 | + | 0.0338017i | \(0.0107615\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 2.28260 | + | 13.2600i | 0.135210 | + | 0.785457i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 12.4204 | + | 13.9419i | 0.733155 | + | 0.822966i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 28.0537i | 1.65021i | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 12.5036 | 0.732973 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −2.41765 | + | 2.41765i | −0.141240 | + | 0.141240i | −0.774192 | − | 0.632951i | \(-0.781843\pi\) |
0.632951 | + | 0.774192i | \(0.281843\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −10.3049 | + | 14.5904i | −0.599974 | + | 0.849486i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 1.88930 | + | 1.88930i | 0.109628 | + | 0.109628i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 0.431179 | 0.0249357 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.13890 | − | 0.0657309i | −0.0656449 | − | 0.00378867i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −5.11211 | − | 5.11211i | −0.293683 | − | 0.293683i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 10.1078 | + | 7.13890i | 0.578769 | + | 0.408772i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −7.21300 | − | 7.21300i | −0.411667 | − | 0.411667i | 0.470652 | − | 0.882319i | \(-0.344019\pi\) |
−0.882319 | + | 0.470652i | \(0.844019\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 9.82225i | 0.558768i | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 10.2542i | 0.581460i | 0.956805 | + | 0.290730i | \(0.0938981\pi\) | ||||
−0.956805 | + | 0.290730i | \(0.906102\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 22.0904 | − | 22.0904i | 1.24862 | − | 1.24862i | 0.292293 | − | 0.956329i | \(-0.405582\pi\) |
0.956329 | − | 0.292293i | \(-0.0944182\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 5.87847 | − | 0.666037i | 0.331214 | − | 0.0375269i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −12.2563 | + | 12.2563i | −0.688385 | + | 0.688385i | −0.961875 | − | 0.273490i | \(-0.911822\pi\) |
0.273490 | + | 0.961875i | \(0.411822\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.814625i | 0.0456102i | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 10.5683i | 0.589867i | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 28.5595 | + | 28.5595i | 1.58909 | + | 1.58909i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −7.83417 | − | 3.73092i | −0.434561 | − | 0.206954i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −4.20978 | − | 4.20978i | −0.232801 | − | 0.232801i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −2.08014 | − | 0.120054i | −0.114682 | − | 0.00661882i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −1.26308 | −0.0694252 | −0.0347126 | − | 0.999397i | \(-0.511052\pi\) | ||||
−0.0347126 | + | 0.999397i | \(0.511052\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0.735441 | + | 0.735441i | 0.0403019 | + | 0.0403019i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 1.84038 | + | 10.6911i | 0.100551 | + | 0.584118i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −9.55621 | + | 9.55621i | −0.520560 | + | 0.520560i | −0.917741 | − | 0.397180i | \(-0.869989\pi\) |
0.397180 | + | 0.917741i | \(0.369989\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −9.88579 | −0.536922 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | − | 19.3812i | − | 1.04955i | ||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −10.6468 | − | 15.1541i | −0.574871 | − | 0.818244i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0.320503 | − | 0.453791i | 0.0172553 | − | 0.0244313i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −6.54975 | + | 6.54975i | −0.351609 | + | 0.351609i | −0.860708 | − | 0.509099i | \(-0.829979\pi\) |
0.509099 | + | 0.860708i | \(0.329979\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −2.77139 | −0.148349 | −0.0741746 | − | 0.997245i | \(-0.523632\pi\) | ||||
−0.0741746 | + | 0.997245i | \(0.523632\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 1.73544 | 0.0926310 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −0.970568 | + | 0.970568i | −0.0516581 | + | 0.0516581i | −0.732464 | − | 0.680806i | \(-0.761630\pi\) |
0.680806 | + | 0.732464i | \(0.261630\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 19.7481 | − | 27.9607i | 1.04812 | − | 1.48400i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 13.2601 | − | 11.8130i | 0.701797 | − | 0.625209i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | − | 9.32813i | − | 0.492320i | −0.969229 | − | 0.246160i | \(-0.920831\pi\) | ||
0.969229 | − | 0.246160i | \(-0.0791688\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 17.2078 | 0.905674 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 2.73021 | − | 2.73021i | 0.143299 | − | 0.143299i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 5.37586 | + | 31.2293i | 0.281385 | + | 1.63462i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −13.0035 | − | 13.0035i | −0.678776 | − | 0.678776i | 0.280948 | − | 0.959723i | \(-0.409351\pi\) |
−0.959723 | + | 0.280948i | \(0.909351\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 7.05736 | 0.367392 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −18.6410 | − | 1.07586i | −0.967793 | − | 0.0558557i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 20.6757 | + | 20.6757i | 1.07055 | + | 1.07055i | 0.997315 | + | 0.0732339i | \(0.0233320\pi\) |
0.0732339 | + | 0.997315i | \(0.476668\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −9.74986 | + | 5.47176i | −0.503481 | + | 0.282560i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 0.374143 | + | 0.374143i | 0.0192693 | + | 0.0192693i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 22.0077i | 1.13046i | 0.824933 | + | 0.565230i | \(0.191213\pi\) | ||||
−0.824933 | + | 0.565230i | \(0.808787\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | − | 4.04621i | − | 0.207294i | ||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 0.390382 | − | 0.390382i | 0.0199476 | − | 0.0199476i | −0.697063 | − | 0.717010i | \(-0.745510\pi\) |
0.717010 | + | 0.697063i | \(0.245510\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 1.77957 | + | 15.7065i | 0.0906950 | + | 0.800478i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −0.304889 | + | 0.304889i | −0.0154984 | + | 0.0154984i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | − | 25.9300i | − | 1.31470i | −0.753584 | − | 0.657352i | \(-0.771677\pi\) | ||
0.753584 | − | 0.657352i | \(-0.228323\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 1.66768i | − | 0.0843381i | ||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −6.60978 | − | 6.60978i | −0.333419 | − | 0.333419i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 20.6339 | + | 14.5733i | 1.03821 | + | 0.733263i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −17.1631 | − | 17.1631i | −0.861391 | − | 0.861391i | 0.130109 | − | 0.991500i | \(-0.458467\pi\) |
−0.991500 | + | 0.130109i | \(0.958467\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0.917304 | − | 15.8938i | 0.0459226 | − | 0.795686i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −12.9418 | −0.646281 | −0.323140 | − | 0.946351i | \(-0.604739\pi\) | ||||
−0.323140 | + | 0.946351i | \(0.604739\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −8.90143 | − | 8.90143i | −0.443412 | − | 0.443412i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 1.28999 | − | 1.82645i | 0.0640999 | − | 0.0907572i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −1.96500 | + | 1.96500i | −0.0974016 | + | 0.0974016i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −2.64278 | −0.130677 | −0.0653386 | − | 0.997863i | \(-0.520813\pi\) | ||||
−0.0653386 | + | 0.997863i | \(0.520813\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 10.6341i | 0.524540i | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 15.7812 | − | 14.0589i | 0.776540 | − | 0.691795i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 2.62301 | + | 15.2376i | 0.128759 | + | 0.747982i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 5.50767 | − | 5.50767i | 0.269712 | − | 0.269712i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −10.0302 | −0.490007 | −0.245003 | − | 0.969522i | \(-0.578789\pi\) | ||||
−0.245003 | + | 0.969522i | \(0.578789\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −26.6440 | −1.29855 | −0.649274 | − | 0.760555i | \(-0.724927\pi\) | ||||
−0.649274 | + | 0.760555i | \(0.724927\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −0.556866 | + | 0.556866i | −0.0270758 | + | 0.0270758i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −14.4301 | + | 30.3004i | −0.699965 | + | 1.46978i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −9.73958 | − | 10.9327i | −0.471332 | − | 0.529069i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 4.63688i | 0.223870i | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −22.3747 | −1.07775 | −0.538876 | − | 0.842385i | \(-0.681151\pi\) | ||||
−0.538876 | + | 0.842385i | \(0.681151\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 13.4723 | − | 13.4723i | 0.647438 | − | 0.647438i | −0.304935 | − | 0.952373i | \(-0.598635\pi\) |
0.952373 | + | 0.304935i | \(0.0986349\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0.671871 | − | 0.115657i | 0.0322138 | − | 0.00554532i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −1.05714 | − | 1.05714i | −0.0505700 | − | 0.0505700i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −25.6790 | −1.22559 | −0.612795 | − | 0.790242i | \(-0.709955\pi\) | ||||
−0.612795 | + | 0.790242i | \(0.709955\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −6.95352 | − | 0.805321i | −0.331120 | − | 0.0383486i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 15.6351 | + | 15.6351i | 0.742845 | + | 0.742845i | 0.973125 | − | 0.230279i | \(-0.0739640\pi\) |
−0.230279 | + | 0.973125i | \(0.573964\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −8.91705 | + | 12.6254i | −0.422709 | + | 0.598501i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 10.1014 | + | 10.1014i | 0.477779 | + | 0.477779i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 7.01947i | 0.331269i | 0.986187 | + | 0.165635i | \(0.0529673\pi\) | ||||
−0.986187 | + | 0.165635i | \(0.947033\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 18.8564i | 0.887912i | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 6.91544 | − | 6.91544i | 0.324916 | − | 0.324916i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 8.03104 | + | 6.39640i | 0.376501 | + | 0.299868i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 11.2119 | − | 11.2119i | 0.524472 | − | 0.524472i | −0.394447 | − | 0.918919i | \(-0.629064\pi\) |
0.918919 | + | 0.394447i | \(0.129064\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | − | 6.71220i | − | 0.313299i | ||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 29.9845i | 1.39652i | 0.715846 | + | 0.698259i | \(0.246041\pi\) | ||||
−0.715846 | + | 0.698259i | \(0.753959\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −7.70220 | − | 7.70220i | −0.357951 | − | 0.357951i | 0.505106 | − | 0.863057i | \(-0.331453\pi\) |
−0.863057 | + | 0.505106i | \(0.831453\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −15.9849 | + | 2.75166i | −0.741280 | + | 0.127605i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −1.80961 | − | 1.80961i | −0.0837386 | − | 0.0837386i | 0.663997 | − | 0.747735i | \(-0.268859\pi\) |
−0.747735 | + | 0.663997i | \(0.768859\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0.739590 | − | 12.8146i | 0.0341511 | − | 0.591724i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −3.07918 | −0.141881 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −0.814625 | − | 0.814625i | −0.0374565 | − | 0.0374565i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 10.0601 | + | 28.3547i | 0.461591 | + | 1.30100i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −4.99031 | + | 4.99031i | −0.228491 | + | 0.228491i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −4.09455 | −0.187085 | −0.0935425 | − | 0.995615i | \(-0.529819\pi\) | ||||
−0.0935425 | + | 0.995615i | \(0.529819\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1.80498i | 0.0823001i | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −0.490826 | + | 0.437262i | −0.0223334 | + | 0.0198961i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 27.5536 | − | 4.74311i | 1.25114 | − | 0.215374i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 10.3049 | − | 10.3049i | 0.466959 | − | 0.466959i | −0.433969 | − | 0.900928i | \(-0.642887\pi\) |
0.900928 | + | 0.433969i | \(0.142887\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −19.3404 | −0.874603 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 8.55953 | 0.386286 | 0.193143 | − | 0.981171i | \(-0.438132\pi\) | ||||
0.193143 | + | 0.981171i | \(0.438132\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 1.44708 | − | 1.44708i | 0.0651732 | − | 0.0651732i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 4.88005 | + | 3.44668i | 0.219342 | + | 0.154917i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −30.2427 | + | 26.9423i | −1.35657 | + | 1.20853i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 23.7564i | 1.06348i | 0.846907 | + | 0.531741i | \(0.178462\pi\) | ||||
−0.846907 | + | 0.531741i | \(0.821538\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −8.81463 | −0.393808 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 17.9504 | − | 17.9504i | 0.800367 | − | 0.800367i | −0.182786 | − | 0.983153i | \(-0.558511\pi\) |
0.983153 | + | 0.182786i | \(0.0585115\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −13.2046 | − | 9.32611i | −0.587596 | − | 0.415007i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −7.06275 | − | 7.06275i | −0.313668 | − | 0.313668i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 16.8977 | 0.748979 | 0.374489 | − | 0.927231i | \(-0.377818\pi\) | ||||
0.374489 | + | 0.927231i | \(0.377818\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 2.16039 | − | 37.4322i | 0.0955698 | − | 1.65590i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −4.25487 | − | 4.25487i | −0.187857 | − | 0.187857i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 3.72598 | + | 21.6449i | 0.164186 | + | 0.953787i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −1.48788 | − | 1.48788i | −0.0654367 | − | 0.0654367i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 9.57331i | 0.420221i | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 7.88477i | 0.345438i | 0.984971 | + | 0.172719i | \(0.0552552\pi\) | ||||
−0.984971 | + | 0.172719i | \(0.944745\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 1.23149 | − | 1.23149i | 0.0538493 | − | 0.0538493i | −0.679669 | − | 0.733519i | \(-0.737877\pi\) |
0.733519 | + | 0.679669i | \(0.237877\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 12.7015 | − | 3.69766i | 0.554338 | − | 0.161379i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −34.4283 | + | 34.4283i | −1.49972 | + | 1.49972i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | − | 22.9383i | − | 0.997316i | ||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | − | 7.98837i | − | 0.346666i | ||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 8.66039 | + | 8.66039i | 0.375123 | + | 0.375123i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 4.00900 | + | 23.2890i | 0.173324 | + | 1.00687i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −0.919968 | − | 0.919968i | −0.0396996 | − | 0.0396996i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 2.15171 | − | 18.5789i | 0.0926809 | − | 0.800250i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 34.9495 | 1.50260 | 0.751298 | − | 0.659963i | \(-0.229428\pi\) | ||||
0.751298 | + | 0.659963i | \(0.229428\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 6.00000 | + | 6.00000i | 0.257485 | + | 0.257485i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −10.8738 | − | 7.67996i | −0.465784 | − | 0.328973i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −3.83548 | + | 3.83548i | −0.163993 | + | 0.163993i | −0.784333 | − | 0.620340i | \(-0.786995\pi\) |
0.620340 | + | 0.784333i | \(0.286995\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −5.53409 | −0.236189 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | − | 1.83461i | − | 0.0781569i | ||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −19.8823 | − | 22.3179i | −0.845483 | − | 0.949054i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 1.89964 | + | 1.34168i | 0.0806353 | + | 0.0569510i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −16.3147 | + | 16.3147i | −0.691275 | + | 0.691275i | −0.962512 | − | 0.271238i | \(-0.912567\pi\) |
0.271238 | + | 0.962512i | \(0.412567\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −0.748285 | −0.0316491 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 17.9341 | 0.757180 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −23.7521 | + | 23.7521i | −1.00103 | + | 1.00103i | −0.00103054 | + | 0.999999i | \(0.500328\pi\) |
−0.999999 | + | 0.00103054i | \(0.999672\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −21.7849 | + | 3.75008i | −0.916497 | + | 0.157767i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −1.97552 | + | 1.75993i | −0.0829638 | + | 0.0739099i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 0.277792i | 0.0116457i | 0.999983 | + | 0.00582283i | \(0.00185348\pi\) | ||||
−0.999983 | + | 0.00582283i | \(0.998147\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 3.11538 | 0.130375 | 0.0651874 | − | 0.997873i | \(-0.479235\pi\) | ||||
0.0651874 | + | 0.997873i | \(0.479235\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 1.37031 | − | 1.37031i | 0.0572454 | − | 0.0572454i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0.534138 | − | 1.12158i | 0.0222751 | − | 0.0467731i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 29.5905 | + | 29.5905i | 1.23187 | + | 1.23187i | 0.963245 | + | 0.268625i | \(0.0865693\pi\) |
0.268625 | + | 0.963245i | \(0.413431\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 11.0703 | 0.460064 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 1.05410 | − | 18.2641i | 0.0437316 | − | 0.757722i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −13.3335 | − | 13.3335i | −0.552216 | − | 0.552216i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 3.82432 | − | 0.658323i | 0.158116 | − | 0.0272183i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −26.6462 | − | 26.6462i | −1.09981 | − | 1.09981i | −0.994433 | − | 0.105375i | \(-0.966396\pi\) |
−0.105375 | − | 0.994433i | \(-0.533604\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 43.6482i | 1.79849i | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | − | 12.0317i | − | 0.494916i | ||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 15.1889 | − | 15.1889i | 0.623733 | − | 0.623733i | −0.322751 | − | 0.946484i | \(-0.604608\pi\) |
0.946484 | + | 0.322751i | \(0.104608\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 24.7395 | − | 31.0618i | 1.01422 | − | 1.27341i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −2.30135 | + | 2.30135i | −0.0941878 | + | 0.0941878i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | − | 22.2776i | − | 0.910238i | −0.890431 | − | 0.455119i | \(-0.849597\pi\) | ||
0.890431 | − | 0.455119i | \(-0.150403\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | − | 22.3458i | − | 0.911503i | −0.890107 | − | 0.455752i | \(-0.849371\pi\) | ||
0.890107 | − | 0.455752i | \(-0.150629\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −3.43055 | − | 3.43055i | −0.139703 | − | 0.139703i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 4.98077 | − | 7.05213i | 0.202497 | − | 0.286710i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 0.576027 | + | 0.576027i | 0.0233802 | + | 0.0233802i | 0.718700 | − | 0.695320i | \(-0.244737\pi\) |
−0.695320 | + | 0.718700i | \(0.744737\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −0.805321 | − | 0.0464788i | −0.0326333 | − | 0.00188341i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −1.36671 | −0.0552911 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −16.4709 | − | 16.4709i | −0.665253 | − | 0.665253i | 0.291361 | − | 0.956613i | \(-0.405892\pi\) |
−0.956613 | + | 0.291361i | \(0.905892\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 15.5520 | − | 2.67714i | 0.627117 | − | 0.107953i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −3.70013 | + | 3.70013i | −0.148962 | + | 0.148962i | −0.777654 | − | 0.628692i | \(-0.783590\pi\) |
0.628692 | + | 0.777654i | \(0.283590\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 39.8840 | 1.60307 | 0.801536 | − | 0.597946i | \(-0.204016\pi\) | ||||
0.801536 | + | 0.597946i | \(0.204016\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0.248455i | 0.00997015i | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 13.6558 | − | 12.1655i | 0.547107 | − | 0.487401i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −19.4097 | + | 15.7564i | −0.776388 | + | 0.630256i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 11.3685 | − | 11.3685i | 0.454013 | − | 0.454013i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 6.98117 | 0.278357 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 33.9725 | 1.35242 | 0.676211 | − | 0.736708i | \(-0.263621\pi\) | ||||
0.676211 | + | 0.736708i | \(0.263621\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −12.1981 | + | 12.1981i | −0.484833 | + | 0.484833i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −1.53489 | − | 8.91646i | −0.0609103 | − | 0.353839i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −7.54472 | − | 9.52120i | −0.298933 | − | 0.377244i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 15.3087i | 0.605605i | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −18.1113 | −0.715352 | −0.357676 | − | 0.933846i | \(-0.616431\pi\) | ||||
−0.357676 | + | 0.933846i | \(0.616431\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −32.1062 | + | 32.1062i | −1.26614 | + | 1.26614i | −0.318082 | + | 0.948063i | \(0.603039\pi\) |
−0.948063 | + | 0.318082i | \(0.896961\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −0.556214 | + | 0.787528i | −0.0219009 | + | 0.0310089i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −12.9277 | − | 12.9277i | −0.508241 | − | 0.508241i | 0.405745 | − | 0.913986i | \(-0.367012\pi\) |
−0.913986 | + | 0.405745i | \(0.867012\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 21.3439 | 0.837821 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 19.1598 | + | 1.10580i | 0.750934 | + | 0.0433398i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −9.39937 | − | 9.39937i | −0.367826 | − | 0.367826i | 0.498858 | − | 0.866684i | \(-0.333753\pi\) |
−0.866684 | + | 0.498858i | \(0.833753\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −17.0730 | − | 12.0583i | −0.667099 | − | 0.471158i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −10.0208 | − | 10.0208i | −0.390950 | − | 0.390950i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | − | 9.13808i | − | 0.355969i | −0.984033 | − | 0.177985i | \(-0.943042\pi\) | ||
0.984033 | − | 0.177985i | \(-0.0569577\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 28.4837i | 1.10789i | 0.832554 | + | 0.553943i | \(0.186878\pi\) | ||||
−0.832554 | + | 0.553943i | \(0.813122\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 8.23683 | − | 8.23683i | 0.319892 | − | 0.319892i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −4.00774 | − | 35.3725i | −0.155413 | − | 1.37169i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −0.0535642 | + | 0.0535642i | −0.00207401 | + | 0.00207401i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 6.48264i | 0.250633i | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | − | 14.7864i | − | 0.570821i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 26.8815 | + | 26.8815i | 1.03621 | + | 1.03621i | 0.999319 | + | 0.0368867i | \(0.0117441\pi\) |
0.0368867 | + | 0.999319i | \(0.488256\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 2.14984 | − | 4.51422i | 0.0827473 | − | 0.173752i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −1.19694 | − | 1.19694i | −0.0460022 | − | 0.0460022i | 0.683731 | − | 0.729734i | \(-0.260356\pi\) |
−0.729734 | + | 0.683731i | \(0.760356\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −33.0264 | − | 1.90611i | −1.26744 | − | 0.0731496i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 20.0271 | 0.767440 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −2.41553 | − | 2.41553i | −0.0924275 | − | 0.0924275i | 0.659381 | − | 0.751809i | \(-0.270818\pi\) |
−0.751809 | + | 0.659381i | \(0.770818\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 4.03393 | + | 23.4338i | 0.154129 | + | 0.895361i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 20.4571 | − | 20.4571i | 0.780487 | − | 0.780487i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −12.2476 | −0.466598 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 41.6703i | 1.58521i | 0.609735 | + | 0.792606i | \(0.291276\pi\) | ||||
−0.609735 | + | 0.792606i | \(0.708724\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −4.70230 | − | 5.27832i | −0.178625 | − | 0.200507i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 10.0477 | − | 14.2263i | 0.381132 | − | 0.539634i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 33.4960 | − | 33.4960i | 1.26875 | − | 1.26875i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 6.76767 | 0.255977 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 13.7870 | 0.520727 | 0.260364 | − | 0.965511i | \(-0.416158\pi\) | ||||
0.260364 | + | 0.965511i | \(0.416158\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 4.42536 | − | 4.42536i | 0.166906 | − | 0.166906i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −1.01590 | + | 1.43838i | −0.0382610 | + | 0.0541727i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 12.7236 | + | 14.2822i | 0.478520 | + | 0.537138i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | − | 24.6722i | − | 0.926585i | −0.886205 | − | 0.463293i | \(-0.846668\pi\) | ||
0.886205 | − | 0.463293i | \(-0.153332\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −11.2973 | −0.423680 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 1.27438 | − | 1.27438i | 0.0477257 | − | 0.0477257i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 1.75895 | + | 10.2181i | 0.0657811 | + | 0.382135i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −11.4388 | − | 11.4388i | −0.427191 | − | 0.427191i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 29.9117 | 1.11552 | 0.557758 | − | 0.830003i | \(-0.311662\pi\) | ||||
0.557758 | + | 0.830003i | \(0.311662\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 1.49735 | − | 25.9441i | 0.0557642 | − | 0.966207i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −8.04033 | − | 8.04033i | −0.299023 | − | 0.299023i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 1.43670 | − | 0.509736i | 0.0533577 | − | 0.0189311i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 29.8488 | + | 29.8488i | 1.10703 | + | 1.10703i | 0.993539 | + | 0.113491i | \(0.0362034\pi\) |
0.113491 | + | 0.993539i | \(0.463797\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 1.00000i | 0.0370370i | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 2.89416i | 0.107044i | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −3.86707 | + | 3.86707i | −0.142834 | + | 0.142834i | −0.774908 | − | 0.632074i | \(-0.782204\pi\) |
0.632074 | + | 0.774908i | \(0.282204\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −15.6287 | + | 0.863100i | −0.576472 | + | 0.0318359i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 9.16599 | − | 9.16599i | 0.337634 | − | 0.337634i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | − | 11.9735i | − | 0.440454i | −0.975449 | − | 0.220227i | \(-0.929320\pi\) | ||
0.975449 | − | 0.220227i | \(-0.0706797\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | − | 10.4427i | − | 0.383621i | ||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 12.0406 | + | 12.0406i | 0.441728 | + | 0.441728i | 0.892593 | − | 0.450864i | \(-0.148884\pi\) |
−0.450864 | + | 0.892593i | \(0.648884\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 26.0918 | + | 18.4281i | 0.955931 | + | 0.675154i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −4.88941 | − | 4.88941i | −0.178894 | − | 0.178894i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 1.61109 | − | 27.9148i | 0.0588679 | − | 1.01998i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 24.1119 | 0.879855 | 0.439928 | − | 0.898033i | \(-0.355004\pi\) | ||||
0.439928 | + | 0.898033i | \(0.355004\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −4.91467 | − | 4.91467i | −0.179100 | − | 0.179100i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 12.6159 | − | 17.8625i | 0.459141 | − | 0.650085i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 29.2896 | − | 29.2896i | 1.06455 | − | 1.06455i | 0.0667825 | − | 0.997768i | \(-0.478727\pi\) |
0.997768 | − | 0.0667825i | \(-0.0212733\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −0.663839 | −0.0240958 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 32.3002i | 1.17088i | 0.810716 | + | 0.585440i | \(0.199078\pi\) | ||||
−0.810716 | + | 0.585440i | \(0.800922\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 10.4778 | + | 11.7613i | 0.379320 | + | 0.425787i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −2.54621 | − | 14.7914i | −0.0920584 | − | 0.534784i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 9.80287 | − | 9.80287i | 0.353961 | − | 0.353961i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 18.4310 | 0.664640 | 0.332320 | − | 0.943167i | \(-0.392169\pi\) | ||||
0.332320 | + | 0.943167i | \(0.392169\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −14.2679 | −0.513845 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 17.7963 | − | 17.7963i | 0.640088 | − | 0.640088i | −0.310489 | − | 0.950577i | \(-0.600493\pi\) |
0.950577 | + | 0.310489i | \(0.100493\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −34.1813 | + | 12.1274i | −1.22783 | + | 0.435629i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −1.83045 | − | 2.05468i | −0.0656670 | − | 0.0737111i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | − | 42.4662i | − | 1.52151i | ||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −40.9030 | −1.46362 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −0.215589 | + | 0.215589i | −0.00770453 | + | 0.00770453i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −6.78546 | + | 1.16806i | −0.242184 | + | 0.0416898i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 16.0671 | + | 16.0671i | 0.572730 | + | 0.572730i | 0.932890 | − | 0.360160i | \(-0.117278\pi\) |
−0.360160 | + | 0.932890i | \(0.617278\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 25.7364 | 0.916240 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 26.1119 | + | 1.50704i | 0.928432 | + | 0.0535840i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −6.79111 | − | 6.79111i | −0.241159 | − | 0.241159i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −9.10390 | + | 12.8900i | −0.322882 | + | 0.457159i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −25.5337 | − | 25.5337i | −0.904451 | − | 0.904451i | 0.0913664 | − | 0.995817i | \(-0.470877\pi\) |
−0.995817 | + | 0.0913664i | \(0.970877\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 5.28605i | 0.187007i | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | − | 6.91251i | − | 0.244242i | ||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 26.7744 | − | 26.7744i | 0.944847 | − | 0.944847i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.915741 | + | 1.14977i | −0.0322756 | + | 0.0405239i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 10.9685 | − | 10.9685i | 0.386111 | − | 0.386111i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | − | 27.5404i | − | 0.968270i | −0.874993 | − | 0.484135i | \(-0.839134\pi\) | ||
0.874993 | − | 0.484135i | \(-0.160866\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 34.2545i | − | 1.20284i | −0.798933 | − | 0.601420i | \(-0.794602\pi\) | ||
0.798933 | − | 0.601420i | \(-0.205398\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −9.43409 | − | 9.43409i | −0.330868 | − | 0.330868i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −42.6196 | + | 7.33659i | −1.49290 | + | 0.256990i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 1.83461 | + | 1.83461i | 0.0641848 | + | 0.0641848i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −4.58392 | − | 0.264559i | −0.160175 | − | 0.00924443i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 49.7482 | 1.73623 | 0.868113 | − | 0.496367i | \(-0.165333\pi\) | ||||
0.868113 | + | 0.496367i | \(0.165333\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 6.10417 | + | 6.10417i | 0.212778 | + | 0.212778i | 0.805447 | − | 0.592668i | \(-0.201926\pi\) |
−0.592668 | + | 0.805447i | \(0.701926\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 12.0614 | + | 5.74409i | 0.419925 | + | 0.199984i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 4.96734 | − | 4.96734i | 0.172731 | − | 0.172731i | −0.615447 | − | 0.788178i | \(-0.711024\pi\) |
0.788178 | + | 0.615447i | \(0.211024\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −28.3500 | −0.984636 | −0.492318 | − | 0.870415i | \(-0.663850\pi\) | ||||
−0.492318 | + | 0.870415i | \(0.663850\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | − | 2.83636i | − | 0.0983922i | ||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −36.8254 | + | 29.1809i | −1.27592 | + | 1.01106i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −19.4244 | + | 3.34374i | −0.672209 | + | 0.115715i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 5.12921 | − | 5.12921i | 0.177291 | − | 0.177291i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −32.8100 | −1.13273 | −0.566364 | − | 0.824156i | \(-0.691650\pi\) | ||||
−0.566364 | + | 0.824156i | \(0.691650\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 28.9070 | 0.996795 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −9.58531 | + | 9.58531i | −0.330136 | + | 0.330136i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −18.2431 | − | 12.8847i | −0.627581 | − | 0.443247i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −7.62767 | + | 6.79526i | −0.262090 | + | 0.233488i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 22.9730i | 0.788431i | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −0.258411 | −0.00885820 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −15.4954 | + | 15.4954i | −0.530553 | + | 0.530553i | −0.920737 | − | 0.390184i | \(-0.872411\pi\) |
0.390184 | + | 0.920737i | \(0.372411\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −10.9903 | − | 7.76222i | −0.375861 | − | 0.265462i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −17.8346 | − | 17.8346i | −0.609218 | − | 0.609218i | 0.333523 | − | 0.942742i | \(-0.391762\pi\) |
−0.942742 | + | 0.333523i | \(0.891762\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −17.2711 | −0.589283 | −0.294641 | − | 0.955608i | \(-0.595200\pi\) | ||||
−0.294641 | + | 0.955608i | \(0.595200\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −18.6410 | − | 1.07586i | −0.635284 | − | 0.0366651i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −2.94383 | − | 2.94383i | −0.100209 | − | 0.100209i | 0.655225 | − | 0.755434i | \(-0.272574\pi\) |
−0.755434 | + | 0.655225i | \(0.772574\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 3.63154 | + | 21.0963i | 0.123476 | + | 0.717295i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −19.8369 | − | 19.8369i | −0.673697 | − | 0.673697i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | − | 30.1848i | − | 1.02395i | ||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | − | 8.41955i | − | 0.285286i | ||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −8.84137 | + | 8.84137i | −0.299235 | + | 0.299235i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 26.5870 | − | 12.9665i | 0.898805 | − | 0.438349i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −8.49735 | + | 8.49735i | −0.286935 | + | 0.286935i | −0.835867 | − | 0.548932i | \(-0.815035\pi\) |
0.548932 | + | 0.835867i | \(0.315035\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | − | 3.41907i | − | 0.115322i | ||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 35.7762i | − | 1.20533i | −0.797994 | − | 0.602665i | \(-0.794106\pi\) | ||
0.797994 | − | 0.602665i | \(-0.205894\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −24.6278 | − | 24.6278i | −0.828791 | − | 0.828791i | 0.158559 | − | 0.987350i | \(-0.449315\pi\) |
−0.987350 | + | 0.158559i | \(0.949315\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −3.03031 | − | 17.6036i | −0.101863 | − | 0.591739i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −0.732491 | − | 0.732491i | −0.0245946 | − | 0.0245946i | 0.694703 | − | 0.719297i | \(-0.255536\pi\) |
−0.719297 | + | 0.694703i | \(0.755536\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −0.616823 | + | 10.6875i | −0.0206876 | + | 0.358447i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −2.67187 | −0.0895111 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 3.35083 | + | 3.35083i | 0.112131 | + | 0.112131i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −2.37628 | − | 1.67831i | −0.0794301 | − | 0.0560998i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −0.304889 | + | 0.304889i | −0.0101800 | + | 0.0101800i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 2.21160 | 0.0737611 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 47.3704i | 1.57814i | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0.851800 | − | 0.758842i | 0.0283461 | − | 0.0252527i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 15.4980 | + | 10.9459i | 0.515170 | + | 0.363854i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 22.8743 | − | 22.8743i | 0.759530 | − | 0.759530i | −0.216707 | − | 0.976237i | \(-0.569532\pi\) |
0.976237 | + | 0.216707i | \(0.0695316\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 7.22962 | 0.239791 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −24.7867 | −0.821220 | −0.410610 | − | 0.911811i | \(-0.634684\pi\) | ||||
−0.410610 | + | 0.911811i | \(0.634684\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 13.0639 | − | 13.0639i | 0.432351 | − | 0.432351i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −12.1952 | + | 2.09930i | −0.403162 | + | 0.0694008i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 16.4512 | + | 18.4664i | 0.543265 | + | 0.609814i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 14.5898i | 0.481272i | 0.970615 | + | 0.240636i | \(0.0773560\pi\) | ||||
−0.970615 | + | 0.240636i | \(0.922644\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 10.2007 | 0.336125 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −18.7860 | + | 18.7860i | −0.618349 | + | 0.618349i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 4.69511 | + | 2.23598i | 0.154374 | + | 0.0735187i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −6.94538 | − | 6.94538i | −0.228116 | − | 0.228116i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −25.1526 | −0.825229 | −0.412615 | − | 0.910906i | \(-0.635384\pi\) | ||||
−0.412615 | + | 0.910906i | \(0.635384\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −4.84585 | + | 41.8414i | −0.158816 | + | 1.37130i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −7.25079 | − | 7.25079i | −0.237380 | − | 0.237380i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 39.5207 | − | 6.80314i | 1.29246 | − | 0.222487i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 28.3540 | + | 28.3540i | 0.926286 | + | 0.926286i | 0.997464 | − | 0.0711778i | \(-0.0226758\pi\) |
−0.0711778 | + | 0.997464i | \(0.522676\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 31.2405i | 1.01950i | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | − | 0.106973i | − | 0.00348721i | −0.999998 | − | 0.00174360i | \(-0.999445\pi\) | ||
0.999998 | − | 0.00174360i | \(-0.000555007\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −1.23987 | + | 1.23987i | −0.0403756 | + | 0.0403756i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −3.68575 | + | 4.62766i | −0.119897 | + | 0.150538i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −17.9671 | + | 17.9671i | −0.583851 | + | 0.583851i | −0.935959 | − | 0.352108i | \(-0.885465\pi\) |
0.352108 | + | 0.935959i | \(0.385465\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | − | 24.5940i | − | 0.798354i | ||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | − | 17.3331i | − | 0.562064i | ||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 31.8008 | + | 31.8008i | 1.03013 | + | 1.03013i | 0.999532 | + | 0.0305973i | \(0.00974093\pi\) |
0.0305973 | + | 0.999532i | \(0.490259\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 2.49987 | − | 3.53950i | 0.0808940 | − | 0.114536i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −0.576027 | − | 0.576027i | −0.0186203 | − | 0.0186203i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 1.62111 | − | 28.0884i | 0.0523483 | − | 0.907021i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −21.6175 | −0.697339 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −7.47295 | − | 7.47295i | −0.240812 | − | 0.240812i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 24.3951 | − | 4.19940i | 0.785305 | − | 0.135183i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −0.210995 | + | 0.210995i | −0.00678513 | + | 0.00678513i | −0.710491 | − | 0.703706i | \(-0.751527\pi\) |
0.703706 | + | 0.710491i | \(0.251527\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −40.3893 | −1.29749 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 54.1165i | 1.73668i | 0.495969 | + | 0.868340i | \(0.334813\pi\) | ||||
−0.495969 | + | 0.868340i | \(0.665187\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −15.3873 | + | 13.7081i | −0.493295 | + | 0.439462i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 8.17775 | − | 2.90143i | 0.261898 | − | 0.0929203i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 25.0981 | − | 25.0981i | 0.802958 | − | 0.802958i | −0.180599 | − | 0.983557i | \(-0.557803\pi\) |
0.983557 | + | 0.180599i | \(0.0578035\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 18.4693 | 0.590283 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 5.95352 | 0.190081 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 1.23358 | − | 1.23358i | 0.0393451 | − | 0.0393451i | −0.687161 | − | 0.726506i | \(-0.741143\pi\) |
0.726506 | + | 0.687161i | \(0.241143\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −4.56409 | − | 26.5136i | −0.145424 | − | 0.844795i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 1.55577 | − | 1.38599i | 0.0495208 | − | 0.0441166i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | − | 0.107128i | − | 0.00340648i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −48.9637 | −1.55538 | −0.777691 | − | 0.628647i | \(-0.783609\pi\) | ||||
−0.777691 | + | 0.628647i | \(0.783609\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 0.893133 | − | 0.893133i | 0.0283427 | − | 0.0283427i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −4.19838 | + | 5.94437i | −0.133098 | + | 0.188449i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 11.9844 | + | 11.9844i | 0.379551 | + | 0.379551i | 0.870940 | − | 0.491389i | \(-0.163511\pi\) |
−0.491389 | + | 0.870940i | \(0.663511\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −1.04007 | −0.0329064 |
(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 | 1680.2.cz.d.433.1 | 16 | ||
4.3 | odd | 2 | 105.2.m.a.13.8 | yes | 16 | ||
5.2 | odd | 4 | inner | 1680.2.cz.d.97.8 | 16 | ||
7.6 | odd | 2 | inner | 1680.2.cz.d.433.8 | 16 | ||
12.11 | even | 2 | 315.2.p.e.118.2 | 16 | |||
20.3 | even | 4 | 525.2.m.b.307.2 | 16 | |||
20.7 | even | 4 | 105.2.m.a.97.7 | yes | 16 | ||
20.19 | odd | 2 | 525.2.m.b.118.1 | 16 | |||
28.3 | even | 6 | 735.2.v.a.313.8 | 32 | |||
28.11 | odd | 6 | 735.2.v.a.313.7 | 32 | |||
28.19 | even | 6 | 735.2.v.a.178.1 | 32 | |||
28.23 | odd | 6 | 735.2.v.a.178.2 | 32 | |||
28.27 | even | 2 | 105.2.m.a.13.7 | ✓ | 16 | ||
35.27 | even | 4 | inner | 1680.2.cz.d.97.1 | 16 | ||
60.47 | odd | 4 | 315.2.p.e.307.1 | 16 | |||
84.83 | odd | 2 | 315.2.p.e.118.1 | 16 | |||
140.27 | odd | 4 | 105.2.m.a.97.8 | yes | 16 | ||
140.47 | odd | 12 | 735.2.v.a.472.7 | 32 | |||
140.67 | even | 12 | 735.2.v.a.607.1 | 32 | |||
140.83 | odd | 4 | 525.2.m.b.307.1 | 16 | |||
140.87 | odd | 12 | 735.2.v.a.607.2 | 32 | |||
140.107 | even | 12 | 735.2.v.a.472.8 | 32 | |||
140.139 | even | 2 | 525.2.m.b.118.2 | 16 | |||
420.167 | even | 4 | 315.2.p.e.307.2 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.2.m.a.13.7 | ✓ | 16 | 28.27 | even | 2 | ||
105.2.m.a.13.8 | yes | 16 | 4.3 | odd | 2 | ||
105.2.m.a.97.7 | yes | 16 | 20.7 | even | 4 | ||
105.2.m.a.97.8 | yes | 16 | 140.27 | odd | 4 | ||
315.2.p.e.118.1 | 16 | 84.83 | odd | 2 | |||
315.2.p.e.118.2 | 16 | 12.11 | even | 2 | |||
315.2.p.e.307.1 | 16 | 60.47 | odd | 4 | |||
315.2.p.e.307.2 | 16 | 420.167 | even | 4 | |||
525.2.m.b.118.1 | 16 | 20.19 | odd | 2 | |||
525.2.m.b.118.2 | 16 | 140.139 | even | 2 | |||
525.2.m.b.307.1 | 16 | 140.83 | odd | 4 | |||
525.2.m.b.307.2 | 16 | 20.3 | even | 4 | |||
735.2.v.a.178.1 | 32 | 28.19 | even | 6 | |||
735.2.v.a.178.2 | 32 | 28.23 | odd | 6 | |||
735.2.v.a.313.7 | 32 | 28.11 | odd | 6 | |||
735.2.v.a.313.8 | 32 | 28.3 | even | 6 | |||
735.2.v.a.472.7 | 32 | 140.47 | odd | 12 | |||
735.2.v.a.472.8 | 32 | 140.107 | even | 12 | |||
735.2.v.a.607.1 | 32 | 140.67 | even | 12 | |||
735.2.v.a.607.2 | 32 | 140.87 | odd | 12 | |||
1680.2.cz.d.97.1 | 16 | 35.27 | even | 4 | inner | ||
1680.2.cz.d.97.8 | 16 | 5.2 | odd | 4 | inner | ||
1680.2.cz.d.433.1 | 16 | 1.1 | even | 1 | trivial | ||
1680.2.cz.d.433.8 | 16 | 7.6 | odd | 2 | inner |