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 | 433.4 | ||
Root | \(-1.40927 - 0.118126i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1680.433 |
Dual form | 1680.2.cz.d.97.4 |
$q$-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 | ||||||||
\(5\) | 2.23450 | − | 0.0836010i | 0.999301 | − | 0.0373875i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.64501 | − | 0.0627175i | 0.999719 | − | 0.0237050i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | − | 1.00000i | − | 0.333333i | ||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −3.98602 | −1.20183 | −0.600915 | − | 0.799313i | \(-0.705197\pi\) | ||||
−0.600915 | + | 0.799313i | \(0.705197\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.500437 | − | 0.500437i | 0.138796 | − | 0.138796i | −0.634295 | − | 0.773091i | \(-0.718709\pi\) |
0.773091 | + | 0.634295i | \(0.218709\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.52092 | + | 1.63915i | −0.392699 | + | 0.423226i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −1.67840 | − | 1.67840i | −0.407071 | − | 0.407071i | 0.473645 | − | 0.880716i | \(-0.342938\pi\) |
−0.880716 | + | 0.473645i | \(0.842938\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 7.21850 | 1.65604 | 0.828019 | − | 0.560700i | \(-0.189468\pi\) | ||||
0.828019 | + | 0.560700i | \(0.189468\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −1.82596 | + | 1.91465i | −0.398456 | + | 0.417811i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 5.16007 | + | 5.16007i | 1.07595 | + | 1.07595i | 0.996868 | + | 0.0790800i | \(0.0251983\pi\) |
0.0790800 | + | 0.996868i | \(0.474802\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.98602 | − | 0.373614i | 0.997204 | − | 0.0747227i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0.707107 | + | 0.707107i | 0.136083 | + | 0.136083i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 3.65191i | 0.678143i | 0.940761 | + | 0.339071i | \(0.110113\pi\) | ||||
−0.940761 | + | 0.339071i | \(0.889887\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 4.93821i | − | 0.886929i | −0.896292 | − | 0.443465i | \(-0.853749\pi\) | ||
0.896292 | − | 0.443465i | \(-0.146251\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 2.81854 | − | 2.81854i | 0.490645 | − | 0.490645i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 5.90504 | − | 0.361268i | 0.998134 | − | 0.0610654i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.292275 | − | 0.292275i | 0.0480497 | − | 0.0480497i | −0.682674 | − | 0.730723i | \(-0.739183\pi\) |
0.730723 | + | 0.682674i | \(0.239183\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.707725i | 0.113327i | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | − | 7.63184i | − | 1.19189i | −0.803024 | − | 0.595947i | \(-0.796777\pi\) | ||
0.803024 | − | 0.595947i | \(-0.203223\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.65191 | − | 3.65191i | −0.556911 | − | 0.556911i | 0.371516 | − | 0.928427i | \(-0.378838\pi\) |
−0.928427 | + | 0.371516i | \(0.878838\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −0.0836010 | − | 2.23450i | −0.0124625 | − | 0.333100i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 0.305303 | + | 0.305303i | 0.0445331 | + | 0.0445331i | 0.729023 | − | 0.684490i | \(-0.239975\pi\) |
−0.684490 | + | 0.729023i | \(0.739975\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.99213 | − | 0.331777i | 0.998876 | − | 0.0473967i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 2.37361 | 0.332372 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 5.39653 | + | 5.39653i | 0.741270 | + | 0.741270i | 0.972822 | − | 0.231553i | \(-0.0743805\pi\) |
−0.231553 | + | 0.972822i | \(0.574381\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −8.90678 | + | 0.333235i | −1.20099 | + | 0.0449335i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −5.10425 | + | 5.10425i | −0.676075 | + | 0.676075i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −6.10959 | −0.795401 | −0.397701 | − | 0.917515i | \(-0.630192\pi\) | ||||
−0.397701 | + | 0.917515i | \(0.630192\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 7.11047i | 0.910402i | 0.890389 | + | 0.455201i | \(0.150433\pi\) | ||||
−0.890389 | + | 0.455201i | \(0.849567\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −0.0627175 | − | 2.64501i | −0.00790166 | − | 0.333240i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 1.07639 | − | 1.16007i | 0.133510 | − | 0.143889i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.944185 | + | 0.944185i | −0.115351 | + | 0.115351i | −0.762426 | − | 0.647075i | \(-0.775992\pi\) |
0.647075 | + | 0.762426i | \(0.275992\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −7.29744 | −0.878508 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −1.19297 | −0.141579 | −0.0707897 | − | 0.997491i | \(-0.522552\pi\) | ||||
−0.0707897 | + | 0.997491i | \(0.522552\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.38298 | − | 1.38298i | 0.161865 | − | 0.161865i | −0.621527 | − | 0.783393i | \(-0.713487\pi\) |
0.783393 | + | 0.621527i | \(0.213487\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −3.26147 | + | 3.78983i | −0.376602 | + | 0.437612i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −10.5431 | + | 0.249993i | −1.20149 | + | 0.0284894i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 8.64027i | 0.972106i | 0.873929 | + | 0.486053i | \(0.161564\pi\) | ||||
−0.873929 | + | 0.486053i | \(0.838436\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −1.00000 | −0.111111 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 11.9895 | − | 11.9895i | 1.31602 | − | 1.31602i | 0.399122 | − | 0.916898i | \(-0.369315\pi\) |
0.916898 | − | 0.399122i | \(-0.130685\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −3.89070 | − | 3.61007i | −0.422006 | − | 0.391567i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −2.58229 | − | 2.58229i | −0.276851 | − | 0.276851i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 7.82581 | 0.829534 | 0.414767 | − | 0.909928i | \(-0.363863\pi\) | ||||
0.414767 | + | 0.909928i | \(0.363863\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.29227 | − | 1.35505i | 0.135467 | − | 0.142048i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 3.49184 | + | 3.49184i | 0.362087 | + | 0.362087i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 16.1298 | − | 0.603474i | 1.65488 | − | 0.0619151i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 7.43671 | + | 7.43671i | 0.755083 | + | 0.755083i | 0.975423 | − | 0.220340i | \(-0.0707167\pi\) |
−0.220340 | + | 0.975423i | \(0.570717\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 3.98602i | 0.400610i | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 6.31633i | 0.628498i | 0.949341 | + | 0.314249i | \(0.101753\pi\) | ||||
−0.949341 | + | 0.314249i | \(0.898247\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 12.5410 | − | 12.5410i | 1.23570 | − | 1.23570i | 0.273954 | − | 0.961743i | \(-0.411668\pi\) |
0.961743 | − | 0.273954i | \(-0.0883316\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −3.92004 | + | 4.43095i | −0.382557 | + | 0.432416i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −7.48020 | + | 7.48020i | −0.723138 | + | 0.723138i | −0.969243 | − | 0.246105i | \(-0.920849\pi\) |
0.246105 | + | 0.969243i | \(0.420849\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | − | 0.668223i | − | 0.0640042i | −0.999488 | − | 0.0320021i | \(-0.989812\pi\) | ||
0.999488 | − | 0.0320021i | \(-0.0101883\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0.413339i | 0.0392324i | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −3.39653 | − | 3.39653i | −0.319518 | − | 0.319518i | 0.529064 | − | 0.848582i | \(-0.322543\pi\) |
−0.848582 | + | 0.529064i | \(0.822543\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 11.9616 | + | 11.0988i | 1.11542 | + | 1.03497i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −0.500437 | − | 0.500437i | −0.0462655 | − | 0.0462655i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −4.54464 | − | 4.33411i | −0.416607 | − | 0.397307i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.88837 | 0.444397 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 5.39653 | + | 5.39653i | 0.486588 | + | 0.486588i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 11.1101 | − | 1.25168i | 0.993713 | − | 0.111953i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 5.88837 | − | 5.88837i | 0.522508 | − | 0.522508i | −0.395820 | − | 0.918328i | \(-0.629540\pi\) |
0.918328 | + | 0.395820i | \(0.129540\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 5.16458 | 0.454716 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 18.8144i | 1.64383i | 0.569613 | + | 0.821913i | \(0.307093\pi\) | ||||
−0.569613 | + | 0.821913i | \(0.692907\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 19.0930 | − | 0.452726i | 1.65557 | − | 0.0392564i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 1.63915 | + | 1.52092i | 0.141075 | + | 0.130900i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −0.811977 | + | 0.811977i | −0.0693719 | + | 0.0693719i | −0.740941 | − | 0.671570i | \(-0.765620\pi\) |
0.671570 | + | 0.740941i | \(0.265620\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 0.442439 | 0.0375272 | 0.0187636 | − | 0.999824i | \(-0.494027\pi\) | ||||
0.0187636 | + | 0.999824i | \(0.494027\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −0.431764 | −0.0363611 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −1.99475 | + | 1.99475i | −0.166810 | + | 0.166810i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.305303 | + | 8.16021i | 0.0253541 | + | 0.677669i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −4.70958 | + | 5.17879i | −0.388440 | + | 0.427139i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 3.14114i | 0.257332i | 0.991688 | + | 0.128666i | \(0.0410696\pi\) | ||||
−0.991688 | + | 0.128666i | \(0.958930\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 14.7239 | 1.19822 | 0.599109 | − | 0.800668i | \(-0.295522\pi\) | ||||
0.599109 | + | 0.800668i | \(0.295522\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −1.67840 | + | 1.67840i | −0.135690 | + | 0.135690i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −0.412839 | − | 11.0345i | −0.0331601 | − | 0.886309i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −7.96508 | − | 7.96508i | −0.635682 | − | 0.635682i | 0.313805 | − | 0.949487i | \(-0.398396\pi\) |
−0.949487 | + | 0.313805i | \(0.898396\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −7.63184 | −0.605244 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 13.9720 | + | 13.3248i | 1.10115 | + | 1.05014i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −10.4450 | − | 10.4450i | −0.818113 | − | 0.818113i | 0.167722 | − | 0.985834i | \(-0.446359\pi\) |
−0.985834 | + | 0.167722i | \(0.946359\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 6.06241 | − | 6.53368i | 0.471958 | − | 0.508646i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −4.63621 | − | 4.63621i | −0.358761 | − | 0.358761i | 0.504595 | − | 0.863356i | \(-0.331642\pi\) |
−0.863356 | + | 0.504595i | \(0.831642\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 12.4991i | 0.961471i | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | − | 7.21850i | − | 0.552013i | ||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −2.48531 | + | 2.48531i | −0.188954 | + | 0.188954i | −0.795244 | − | 0.606290i | \(-0.792657\pi\) |
0.606290 | + | 0.795244i | \(0.292657\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 13.1646 | − | 1.30092i | 0.995153 | − | 0.0983404i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 4.32013 | − | 4.32013i | 0.324721 | − | 0.324721i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 22.1109i | 1.65264i | 0.563199 | + | 0.826321i | \(0.309570\pi\) | ||||
−0.563199 | + | 0.826321i | \(0.690430\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 8.48528i | − | 0.630706i | −0.948974 | − | 0.315353i | \(-0.897877\pi\) | ||
0.948974 | − | 0.315353i | \(-0.102123\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −5.02786 | − | 5.02786i | −0.371670 | − | 0.371670i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 0.628655 | − | 0.677524i | 0.0462196 | − | 0.0498125i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 6.69013 | + | 6.69013i | 0.489231 | + | 0.489231i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 1.91465 | + | 1.82596i | 0.139270 | + | 0.132819i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −15.2898 | −1.10633 | −0.553167 | − | 0.833070i | \(-0.686581\pi\) | ||||
−0.553167 | + | 0.833070i | \(0.686581\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −8.92787 | − | 8.92787i | −0.642642 | − | 0.642642i | 0.308562 | − | 0.951204i | \(-0.400152\pi\) |
−0.951204 | + | 0.308562i | \(0.900152\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0.0591665 | + | 1.58142i | 0.00423700 | + | 0.113248i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −2.68715 | + | 2.68715i | −0.191451 | + | 0.191451i | −0.796323 | − | 0.604872i | \(-0.793224\pi\) |
0.604872 | + | 0.796323i | \(0.293224\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −0.616637 | −0.0437122 | −0.0218561 | − | 0.999761i | \(-0.506958\pi\) | ||||
−0.0218561 | + | 0.999761i | \(0.506958\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | − | 1.33528i | − | 0.0941833i | ||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0.229039 | + | 9.65933i | 0.0160754 | + | 0.677952i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.638029 | − | 17.0534i | −0.0445619 | − | 1.19106i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 5.16007 | − | 5.16007i | 0.358649 | − | 0.358649i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −28.7731 | −1.99028 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −9.30849 | −0.640823 | −0.320411 | − | 0.947278i | \(-0.603821\pi\) | ||||
−0.320411 | + | 0.947278i | \(0.603821\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0.843557 | − | 0.843557i | 0.0577996 | − | 0.0577996i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −8.46551 | − | 7.85491i | −0.577343 | − | 0.535700i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.309712 | − | 13.0616i | −0.0210246 | − | 0.886680i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 1.95583i | 0.132163i | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −1.67987 | −0.113000 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 1.35505 | − | 1.35505i | 0.0907407 | − | 0.0907407i | −0.660279 | − | 0.751020i | \(-0.729562\pi\) |
0.751020 | + | 0.660279i | \(0.229562\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −0.373614 | − | 4.98602i | −0.0249076 | − | 0.332401i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −4.15437 | − | 4.15437i | −0.275735 | − | 0.275735i | 0.555668 | − | 0.831404i | \(-0.312462\pi\) |
−0.831404 | + | 0.555668i | \(0.812462\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 12.9900 | 0.858403 | 0.429202 | − | 0.903209i | \(-0.358795\pi\) | ||||
0.429202 | + | 0.903209i | \(0.358795\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 7.27830 | − | 7.63184i | 0.478877 | − | 0.502138i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −16.4639 | − | 16.4639i | −1.07859 | − | 1.07859i | −0.996637 | − | 0.0819485i | \(-0.973886\pi\) |
−0.0819485 | − | 0.996637i | \(-0.526114\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.707725 | + | 0.656678i | 0.0461669 | + | 0.0428370i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −6.10959 | − | 6.10959i | −0.396861 | − | 0.396861i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 5.48048i | 0.354503i | 0.984166 | + | 0.177251i | \(0.0567205\pi\) | ||||
−0.984166 | + | 0.177251i | \(0.943279\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 14.6507i | 0.943737i | 0.881669 | + | 0.471868i | \(0.156420\pi\) | ||||
−0.881669 | + | 0.471868i | \(0.843580\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0.707107 | − | 0.707107i | 0.0453609 | − | 0.0453609i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 15.5962 | − | 1.32591i | 0.996406 | − | 0.0847090i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 3.61241 | − | 3.61241i | 0.229852 | − | 0.229852i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 16.9557i | 1.07453i | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 21.1506i | 1.33501i | 0.744604 | + | 0.667507i | \(0.232639\pi\) | ||||
−0.744604 | + | 0.667507i | \(0.767361\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −20.5681 | − | 20.5681i | −1.29311 | − | 1.29311i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 5.30385 | − | 0.198436i | 0.332140 | − | 0.0124266i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −9.39248 | − | 9.39248i | −0.585887 | − | 0.585887i | 0.350628 | − | 0.936515i | \(-0.385968\pi\) |
−0.936515 | + | 0.350628i | \(0.885968\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.754738 | − | 0.791399i | 0.0468971 | − | 0.0491752i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 3.65191 | 0.226048 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −15.3779 | − | 15.3779i | −0.948241 | − | 0.948241i | 0.0504843 | − | 0.998725i | \(-0.483924\pi\) |
−0.998725 | + | 0.0504843i | \(0.983924\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 12.5097 | + | 11.6074i | 0.768466 | + | 0.713037i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −5.53368 | + | 5.53368i | −0.338656 | + | 0.338656i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −22.9851 | −1.40143 | −0.700714 | − | 0.713442i | \(-0.747135\pi\) | ||||
−0.700714 | + | 0.713442i | \(0.747135\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 15.7596i | 0.957330i | 0.877998 | + | 0.478665i | \(0.158879\pi\) | ||||
−0.877998 | + | 0.478665i | \(0.841121\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0.0443868 | + | 1.87194i | 0.00268641 | + | 0.113295i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −19.8744 | + | 1.48923i | −1.19847 | + | 0.0898041i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 4.80771 | − | 4.80771i | 0.288867 | − | 0.288867i | −0.547765 | − | 0.836632i | \(-0.684521\pi\) |
0.836632 | + | 0.547765i | \(0.184521\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −4.93821 | −0.295643 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −9.65658 | −0.576063 | −0.288032 | − | 0.957621i | \(-0.593001\pi\) | ||||
−0.288032 | + | 0.957621i | \(0.593001\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −14.9095 | + | 14.9095i | −0.886278 | + | 0.886278i | −0.994163 | − | 0.107885i | \(-0.965592\pi\) |
0.107885 | + | 0.994163i | \(0.465592\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −10.9788 | + | 11.8322i | −0.650325 | + | 0.700879i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −0.478650 | − | 20.1863i | −0.0282538 | − | 1.19156i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | − | 11.3660i | − | 0.668586i | ||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −10.5171 | −0.616523 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 4.79236 | − | 4.79236i | 0.279973 | − | 0.279973i | −0.553125 | − | 0.833098i | \(-0.686565\pi\) |
0.833098 | + | 0.553125i | \(0.186565\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −13.6519 | + | 0.510768i | −0.794845 | + | 0.0297381i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −2.81854 | − | 2.81854i | −0.163548 | − | 0.163548i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 5.16458 | 0.298675 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −9.88837 | − | 9.43029i | −0.569956 | − | 0.543553i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −4.46632 | − | 4.46632i | −0.256583 | − | 0.256583i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 0.594442 | + | 15.8884i | 0.0340377 | + | 0.909765i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −9.85063 | − | 9.85063i | −0.562205 | − | 0.562205i | 0.367728 | − | 0.929933i | \(-0.380136\pi\) |
−0.929933 | + | 0.367728i | \(0.880136\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 17.7356i | 1.00894i | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | − | 27.3063i | − | 1.54840i | −0.632941 | − | 0.774200i | \(-0.718152\pi\) | ||
0.632941 | − | 0.774200i | \(-0.281848\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 18.5080 | − | 18.5080i | 1.04613 | − | 1.04613i | 0.0472492 | − | 0.998883i | \(-0.484955\pi\) |
0.998883 | − | 0.0472492i | \(-0.0150455\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −0.361268 | − | 5.90504i | −0.0203551 | − | 0.332711i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −21.8793 | + | 21.8793i | −1.22887 | + | 1.22887i | −0.264473 | + | 0.964393i | \(0.585198\pi\) |
−0.964393 | + | 0.264473i | \(0.914802\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | − | 14.5566i | − | 0.815013i | ||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | − | 10.5786i | − | 0.590440i | ||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −12.1155 | − | 12.1155i | −0.674126 | − | 0.674126i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 2.30822 | − | 2.68216i | 0.128037 | − | 0.148780i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0.472505 | + | 0.472505i | 0.0261296 | + | 0.0261296i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0.826678 | + | 0.788382i | 0.0455762 | + | 0.0434649i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 16.6913 | 0.917438 | 0.458719 | − | 0.888581i | \(-0.348309\pi\) | ||||
0.458719 | + | 0.888581i | \(0.348309\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −0.292275 | − | 0.292275i | −0.0160166 | − | 0.0160166i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −2.03085 | + | 2.18872i | −0.110957 | + | 0.119583i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 2.54028 | − | 2.54028i | 0.138378 | − | 0.138378i | −0.634525 | − | 0.772903i | \(-0.718804\pi\) |
0.772903 | + | 0.634525i | \(0.218804\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 4.80341 | 0.260886 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 19.6838i | 1.06594i | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 18.4734 | − | 1.31608i | 0.997472 | − | 0.0710617i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −16.3062 | + | 0.610073i | −0.877894 | + | 0.0328452i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −13.6980 | + | 13.6980i | −0.735348 | + | 0.735348i | −0.971674 | − | 0.236326i | \(-0.924057\pi\) |
0.236326 | + | 0.971674i | \(0.424057\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 0.508601 | 0.0272248 | 0.0136124 | − | 0.999907i | \(-0.495667\pi\) | ||||
0.0136124 | + | 0.999907i | \(0.495667\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0.707725 | 0.0377756 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 10.9217 | − | 10.9217i | 0.581305 | − | 0.581305i | −0.353957 | − | 0.935262i | \(-0.615164\pi\) |
0.935262 | + | 0.353957i | \(0.115164\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −2.66570 | + | 0.0997335i | −0.141480 | + | 0.00529330i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 6.27823 | − | 0.148867i | 0.332279 | − | 0.00787888i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | − | 15.9860i | − | 0.843710i | −0.906663 | − | 0.421855i | \(-0.861379\pi\) | ||
0.906663 | − | 0.421855i | \(-0.138621\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 33.1068 | 1.74246 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −3.45660 | + | 3.45660i | −0.181424 | + | 0.181424i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 2.97465 | − | 3.20589i | 0.155701 | − | 0.167804i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −0.410036 | − | 0.410036i | −0.0214037 | − | 0.0214037i | 0.696324 | − | 0.717728i | \(-0.254818\pi\) |
−0.717728 | + | 0.696324i | \(0.754818\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −7.63184 | −0.397298 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 14.6123 | + | 13.9354i | 0.758633 | + | 0.723490i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −3.44496 | − | 3.44496i | −0.178373 | − | 0.178373i | 0.612273 | − | 0.790646i | \(-0.290255\pi\) |
−0.790646 | + | 0.612273i | \(0.790255\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −6.97092 | + | 8.74106i | −0.359977 | + | 0.451387i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 1.82755 | + | 1.82755i | 0.0941237 | + | 0.0941237i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 12.9179i | − | 0.663547i | −0.943359 | − | 0.331773i | \(-0.892353\pi\) | ||
0.943359 | − | 0.331773i | \(-0.107647\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 8.32741i | 0.426626i | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 10.0770 | − | 10.0770i | 0.514910 | − | 0.514910i | −0.401117 | − | 0.916027i | \(-0.631378\pi\) |
0.916027 | + | 0.401117i | \(0.131378\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −23.5376 | + | 1.44002i | −1.19959 | + | 0.0733903i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −3.65191 | + | 3.65191i | −0.185637 | + | 0.185637i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | − | 24.3300i | − | 1.23358i | −0.787127 | − | 0.616791i | \(-0.788433\pi\) | ||
0.787127 | − | 0.616791i | \(-0.211567\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 17.3213i | − | 0.875976i | ||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −13.3038 | − | 13.3038i | −0.671089 | − | 0.671089i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 0.722335 | + | 19.3067i | 0.0363446 | + | 0.971426i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 6.80633 | + | 6.80633i | 0.341600 | + | 0.341600i | 0.856969 | − | 0.515369i | \(-0.172345\pi\) |
−0.515369 | + | 0.856969i | \(0.672345\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −13.1807 | + | 13.8209i | −0.659858 | + | 0.691911i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −8.83090 | −0.440994 | −0.220497 | − | 0.975388i | \(-0.570768\pi\) | ||||
−0.220497 | + | 0.975388i | \(0.570768\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −2.47127 | − | 2.47127i | −0.123103 | − | 0.123103i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −2.23450 | + | 0.0836010i | −0.111033 | + | 0.00415417i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −1.16501 | + | 1.16501i | −0.0577476 | + | 0.0577476i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −23.1985 | −1.14709 | −0.573546 | − | 0.819174i | \(-0.694432\pi\) | ||||
−0.573546 | + | 0.819174i | \(0.694432\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | − | 1.14831i | − | 0.0566419i | ||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −16.1599 | + | 0.383178i | −0.795178 | + | 0.0188550i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 25.7883 | − | 27.7930i | 1.26590 | − | 1.36430i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −0.312852 | + | 0.312852i | −0.0153204 | + | 0.0153204i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −13.0393 | −0.637009 | −0.318505 | − | 0.947921i | \(-0.603181\pi\) | ||||
−0.318505 | + | 0.947921i | \(0.603181\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −31.3549 | −1.52814 | −0.764071 | − | 0.645132i | \(-0.776802\pi\) | ||||
−0.764071 | + | 0.645132i | \(0.776802\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0.305303 | − | 0.305303i | 0.0148444 | − | 0.0148444i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −8.99560 | − | 7.74146i | −0.436351 | − | 0.375516i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.445951 | + | 18.8072i | 0.0215811 | + | 0.910146i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | − | 2.82101i | − | 0.136200i | ||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 22.5558 | 1.08648 | 0.543238 | − | 0.839579i | \(-0.317198\pi\) | ||||
0.543238 | + | 0.839579i | \(0.317198\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −19.9639 | + | 19.9639i | −0.959405 | + | 0.959405i | −0.999208 | − | 0.0398028i | \(-0.987327\pi\) |
0.0398028 | + | 0.999208i | \(0.487327\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −5.98602 | − | 5.55426i | −0.287008 | − | 0.266306i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 37.2479 | + | 37.2479i | 1.78181 | + | 1.78181i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −30.1943 | −1.44110 | −0.720548 | − | 0.693405i | \(-0.756110\pi\) | ||||
−0.720548 | + | 0.693405i | \(0.756110\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −0.331777 | − | 6.99213i | −0.0157989 | − | 0.332959i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 12.7423 | + | 12.7423i | 0.605404 | + | 0.605404i | 0.941742 | − | 0.336337i | \(-0.109188\pi\) |
−0.336337 | + | 0.941742i | \(0.609188\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 17.4868 | − | 0.654245i | 0.828954 | − | 0.0310142i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −2.22112 | − | 2.22112i | −0.105056 | − | 0.105056i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | − | 30.4170i | − | 1.43547i | −0.696318 | − | 0.717734i | \(-0.745180\pi\) | ||
0.696318 | − | 0.717734i | \(-0.254820\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 30.4207i | 1.43245i | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −10.4114 | + | 10.4114i | −0.489170 | + | 0.489170i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 2.77431 | − | 3.13589i | 0.130062 | − | 0.147013i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 1.31546 | − | 1.31546i | 0.0615348 | − | 0.0615348i | −0.675670 | − | 0.737204i | \(-0.736145\pi\) |
0.737204 | + | 0.675670i | \(0.236145\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | − | 2.37361i | − | 0.110791i | ||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 1.29957i | 0.0605272i | 0.999542 | + | 0.0302636i | \(0.00963467\pi\) | ||||
−0.999542 | + | 0.0302636i | \(0.990365\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −16.5240 | − | 16.5240i | −0.767934 | − | 0.767934i | 0.209809 | − | 0.977742i | \(-0.432716\pi\) |
−0.977742 | + | 0.209809i | \(0.932716\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 8.09446 | + | 7.51062i | 0.375372 | + | 0.348297i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −20.1009 | − | 20.1009i | −0.930157 | − | 0.930157i | 0.0675588 | − | 0.997715i | \(-0.478479\pi\) |
−0.997715 | + | 0.0675588i | \(0.978479\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −2.43816 | + | 2.55659i | −0.112584 | + | 0.118052i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 11.2643 | 0.519032 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 14.5566 | + | 14.5566i | 0.669313 | + | 0.669313i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 35.9916 | − | 2.69693i | 1.65141 | − | 0.123744i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 5.39653 | − | 5.39653i | 0.247090 | − | 0.247090i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 11.0836 | 0.506425 | 0.253212 | − | 0.967411i | \(-0.418513\pi\) | ||||
0.253212 | + | 0.967411i | \(0.418513\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | − | 0.292530i | − | 0.0133382i | ||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −19.3018 | + | 0.457677i | −0.878261 | + | 0.0208250i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 17.2391 | + | 15.9956i | 0.782786 | + | 0.726325i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 13.6519 | − | 13.6519i | 0.618627 | − | 0.618627i | −0.326552 | − | 0.945179i | \(-0.605887\pi\) |
0.945179 | + | 0.326552i | \(0.105887\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 14.7714 | 0.667986 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −32.1155 | −1.44935 | −0.724677 | − | 0.689089i | \(-0.758011\pi\) | ||||
−0.724677 | + | 0.689089i | \(0.758011\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 6.12936 | − | 6.12936i | 0.276052 | − | 0.276052i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0.333235 | + | 8.90678i | 0.0149778 | + | 0.400330i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −3.15541 | + | 0.0748201i | −0.141540 | + | 0.00335614i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 4.27431i | 0.191344i | 0.995413 | + | 0.0956722i | \(0.0305000\pi\) | ||||
−0.995413 | + | 0.0956722i | \(0.969500\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 6.55659 | 0.292927 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −17.5637 | + | 17.5637i | −0.783128 | + | 0.783128i | −0.980357 | − | 0.197229i | \(-0.936806\pi\) |
0.197229 | + | 0.980357i | \(0.436806\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0.528051 | + | 14.1139i | 0.0234980 | + | 0.628059i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −8.83822 | − | 8.83822i | −0.392519 | − | 0.392519i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −27.9162 | −1.23736 | −0.618682 | − | 0.785641i | \(-0.712333\pi\) | ||||
−0.618682 | + | 0.785641i | \(0.712333\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 3.57125 | − | 3.74473i | 0.157983 | − | 0.165657i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 5.10425 | + | 5.10425i | 0.225358 | + | 0.225358i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 26.9744 | − | 29.0713i | 1.18863 | − | 1.28103i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −1.21695 | − | 1.21695i | −0.0535212 | − | 0.0535212i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | − | 3.51476i | − | 0.154281i | ||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | − | 28.8647i | − | 1.26458i | −0.774730 | − | 0.632292i | \(-0.782114\pi\) | ||
0.774730 | − | 0.632292i | \(-0.217886\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 3.54707 | − | 3.54707i | 0.155103 | − | 0.155103i | −0.625290 | − | 0.780392i | \(-0.715019\pi\) |
0.780392 | + | 0.625290i | \(0.215019\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −8.38891 | + | 10.2287i | −0.366122 | + | 0.446417i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −8.28829 | + | 8.28829i | −0.361043 | + | 0.361043i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 30.2526i | 1.31533i | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 6.10959i | 0.265134i | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −3.81926 | − | 3.81926i | −0.165430 | − | 0.165430i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −16.0892 | + | 17.3399i | −0.695596 | + | 0.749669i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −15.6347 | − | 15.6347i | −0.674688 | − | 0.674688i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −27.8708 | + | 1.32247i | −1.20048 | + | 0.0569628i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −4.08698 | −0.175713 | −0.0878565 | − | 0.996133i | \(-0.528002\pi\) | ||||
−0.0878565 | + | 0.996133i | \(0.528002\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 6.00000 | + | 6.00000i | 0.257485 | + | 0.257485i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −0.0558641 | − | 1.49315i | −0.00239296 | − | 0.0639594i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −28.2200 | + | 28.2200i | −1.20660 | + | 1.20660i | −0.234482 | + | 0.972121i | \(0.575339\pi\) |
−0.972121 | + | 0.234482i | \(0.924661\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 7.11047 | 0.303467 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 26.3613i | 1.12303i | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.541896 | + | 22.8536i | 0.0230438 | + | 0.971833i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0.0345555 | + | 0.923607i | 0.00146680 | + | 0.0392050i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 28.1616 | − | 28.1616i | 1.19325 | − | 1.19325i | 0.217096 | − | 0.976150i | \(-0.430342\pi\) |
0.976150 | − | 0.217096i | \(-0.0696584\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −3.65510 | −0.154594 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −9.46128 | −0.399455 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 27.3645 | − | 27.3645i | 1.15328 | − | 1.15328i | 0.167386 | − | 0.985891i | \(-0.446467\pi\) |
0.985891 | − | 0.167386i | \(-0.0535326\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −7.87351 | − | 7.30560i | −0.331241 | − | 0.307349i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −2.64501 | + | 0.0627175i | −0.111080 | + | 0.00263389i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 17.7767i | 0.745240i | 0.927984 | + | 0.372620i | \(0.121540\pi\) | ||||
−0.927984 | + | 0.372620i | \(0.878460\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 16.8866 | 0.706683 | 0.353342 | − | 0.935494i | \(-0.385045\pi\) | ||||
0.353342 | + | 0.935494i | \(0.385045\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 10.8116 | − | 10.8116i | 0.451659 | − | 0.451659i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 27.6561 | + | 23.8003i | 1.15334 | + | 0.992543i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 3.89677 | + | 3.89677i | 0.162225 | + | 0.162225i | 0.783552 | − | 0.621327i | \(-0.213406\pi\) |
−0.621327 | + | 0.783552i | \(0.713406\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 12.6259 | 0.524715 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 30.9604 | − | 32.4643i | 1.28445 | − | 1.34685i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −21.5107 | − | 21.5107i | −0.890881 | − | 0.890881i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −1.16007 | − | 1.07639i | −0.0479629 | − | 0.0445034i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 15.1058 | + | 15.1058i | 0.623484 | + | 0.623484i | 0.946420 | − | 0.322937i | \(-0.104670\pi\) |
−0.322937 | + | 0.946420i | \(0.604670\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | − | 35.6465i | − | 1.46879i | ||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | − | 3.80020i | − | 0.156319i | ||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −3.43032 | + | 3.43032i | −0.140866 | + | 0.140866i | −0.774023 | − | 0.633157i | \(-0.781759\pi\) |
0.633157 | + | 0.774023i | \(0.281759\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −10.5174 | − | 9.30466i | −0.431170 | − | 0.381454i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 0.436028 | − | 0.436028i | 0.0178454 | − | 0.0178454i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 10.1010i | 0.412714i | 0.978477 | + | 0.206357i | \(0.0661608\pi\) | ||||
−0.978477 | + | 0.206357i | \(0.933839\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 38.4063i | 1.56663i | 0.621628 | + | 0.783313i | \(0.286472\pi\) | ||||
−0.621628 | + | 0.783313i | \(0.713528\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0.944185 | + | 0.944185i | 0.0384502 | + | 0.0384502i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 10.9231 | − | 0.408673i | 0.444087 | − | 0.0166149i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −10.2931 | − | 10.2931i | −0.417783 | − | 0.417783i | 0.466656 | − | 0.884439i | \(-0.345459\pi\) |
−0.884439 | + | 0.466656i | \(0.845459\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −6.99213 | − | 6.66822i | −0.283336 | − | 0.270210i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0.305570 | 0.0123621 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −14.4155 | − | 14.4155i | −0.582235 | − | 0.582235i | 0.353282 | − | 0.935517i | \(-0.385066\pi\) |
−0.935517 | + | 0.353282i | \(0.885066\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 12.5097 | + | 11.6074i | 0.504440 | + | 0.468056i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −25.4196 | + | 25.4196i | −1.02336 | + | 1.02336i | −0.0236346 | + | 0.999721i | \(0.507524\pi\) |
−0.999721 | + | 0.0236346i | \(0.992476\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 11.1991 | 0.450129 | 0.225064 | − | 0.974344i | \(-0.427741\pi\) | ||||
0.225064 | + | 0.974344i | \(0.427741\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 7.29744i | 0.292836i | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 20.6993 | − | 0.490815i | 0.829301 | − | 0.0196641i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 24.7208 | − | 3.72569i | 0.988833 | − | 0.149028i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 20.3457 | − | 20.3457i | 0.812527 | − | 0.812527i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −0.981107 | −0.0391193 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −21.2015 | −0.844020 | −0.422010 | − | 0.906591i | \(-0.638675\pi\) | ||||
−0.422010 | + | 0.906591i | \(0.638675\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 6.58210 | − | 6.58210i | 0.261615 | − | 0.261615i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 12.6653 | − | 13.6499i | 0.502608 | − | 0.541678i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 3.33309 | − | 3.66516i | 0.132062 | − | 0.145219i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 1.19297i | 0.0471931i | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −29.8969 | −1.18086 | −0.590428 | − | 0.807090i | \(-0.701041\pi\) | ||||
−0.590428 | + | 0.807090i | \(0.701041\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −11.2813 | + | 11.2813i | −0.444891 | + | 0.444891i | −0.893652 | − | 0.448761i | \(-0.851866\pi\) |
0.448761 | + | 0.893652i | \(0.351866\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 11.5403 | − | 0.431764i | 0.454398 | − | 0.0170007i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 26.2395 | + | 26.2395i | 1.03158 | + | 1.03158i | 0.999485 | + | 0.0320982i | \(0.0102189\pi\) |
0.0320982 | + | 0.999485i | \(0.489781\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 24.3530 | 0.955937 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 9.45495 | + | 9.01695i | 0.370569 | + | 0.353402i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −1.97641 | − | 1.97641i | −0.0773427 | − | 0.0773427i | 0.667377 | − | 0.744720i | \(-0.267417\pi\) |
−0.744720 | + | 0.667377i | \(0.767417\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 1.57291 | + | 42.0410i | 0.0614585 | + | 1.64268i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −1.38298 | − | 1.38298i | −0.0539552 | − | 0.0539552i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | − | 15.1044i | − | 0.588385i | −0.955746 | − | 0.294193i | \(-0.904949\pi\) | ||
0.955746 | − | 0.294193i | \(-0.0950507\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 1.10054i | 0.0428062i | 0.999771 | + | 0.0214031i | \(0.00681333\pi\) | ||||
−0.999771 | + | 0.0214031i | \(0.993187\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 1.18785 | − | 1.18785i | 0.0461321 | − | 0.0461321i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 42.6255 | − | 2.60781i | 1.65295 | − | 0.101127i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −18.8441 | + | 18.8441i | −0.729646 | + | 0.729646i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 1.91633i | 0.0740894i | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | − | 28.3425i | − | 1.09415i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −11.4381 | − | 11.4381i | −0.440906 | − | 0.440906i | 0.451411 | − | 0.892316i | \(-0.350921\pi\) |
−0.892316 | + | 0.451411i | \(0.850921\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 3.78983 | + | 3.26147i | 0.145871 | + | 0.125534i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −24.6007 | − | 24.6007i | −0.945481 | − | 0.945481i | 0.0531077 | − | 0.998589i | \(-0.483087\pi\) |
−0.998589 | + | 0.0531077i | \(0.983087\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 20.1366 | + | 19.2037i | 0.772770 | + | 0.736972i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 5.87517 | 0.225137 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 13.8654 | + | 13.8654i | 0.530543 | + | 0.530543i | 0.920734 | − | 0.390191i | \(-0.127591\pi\) |
−0.390191 | + | 0.920734i | \(0.627591\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −1.74648 | + | 1.88225i | −0.0667297 | + | 0.0719170i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −9.18531 | + | 9.18531i | −0.350442 | + | 0.350442i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 5.40125 | 0.205771 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | − | 12.4060i | − | 0.471947i | −0.971759 | − | 0.235974i | \(-0.924172\pi\) | ||
0.971759 | − | 0.235974i | \(-0.0758279\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0.249993 | + | 10.5431i | 0.00949646 | + | 0.400498i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 0.988633 | − | 0.0369884i | 0.0375010 | − | 0.00140305i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −12.8093 | + | 12.8093i | −0.485186 | + | 0.485186i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 23.2835 | 0.880661 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 1.45193 | 0.0548388 | 0.0274194 | − | 0.999624i | \(-0.491271\pi\) | ||||
0.0274194 | + | 0.999624i | \(0.491271\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 2.10979 | − | 2.10979i | 0.0795720 | − | 0.0795720i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −0.964779 | + | 0.0360959i | −0.0363357 | + | 0.00135945i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 0.396144 | + | 16.7067i | 0.0148985 | + | 0.628322i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 48.5284i | 1.82252i | 0.411827 | + | 0.911262i | \(0.364891\pi\) | ||||
−0.411827 | + | 0.911262i | \(0.635109\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 8.64027 | 0.324035 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 25.4815 | − | 25.4815i | 0.954290 | − | 0.954290i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −4.29052 | + | 4.62405i | −0.160457 | + | 0.172930i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −3.87528 | − | 3.87528i | −0.144725 | − | 0.144725i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −43.5872 | −1.62553 | −0.812764 | − | 0.582593i | \(-0.802038\pi\) | ||||
−0.812764 | + | 0.582593i | \(0.802038\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 32.3844 | − | 33.9575i | 1.20606 | − | 1.26464i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −10.3596 | − | 10.3596i | −0.385279 | − | 0.385279i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 1.36440 | + | 18.2085i | 0.0506727 | + | 0.676247i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −10.4498 | − | 10.4498i | −0.387563 | − | 0.387563i | 0.486254 | − | 0.873817i | \(-0.338363\pi\) |
−0.873817 | + | 0.486254i | \(0.838363\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 1.00000i | 0.0370370i | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 12.2587i | 0.453405i | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 18.8687 | − | 18.8687i | 0.696933 | − | 0.696933i | −0.266815 | − | 0.963748i | \(-0.585971\pi\) |
0.963748 | + | 0.266815i | \(0.0859712\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −10.0906 | + | 11.9657i | −0.372199 | + | 0.441363i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 3.76354 | − | 3.76354i | 0.138632 | − | 0.138632i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 20.9689i | 0.771354i | 0.922634 | + | 0.385677i | \(0.126032\pi\) | ||||
−0.922634 | + | 0.385677i | \(0.873968\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 5.10872i | 0.187673i | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −9.18724 | − | 9.18724i | −0.337047 | − | 0.337047i | 0.518208 | − | 0.855255i | \(-0.326599\pi\) |
−0.855255 | + | 0.518208i | \(0.826599\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0.262603 | + | 7.01890i | 0.00962102 | + | 0.257152i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −11.9895 | − | 11.9895i | −0.438673 | − | 0.438673i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −19.3160 | + | 20.2543i | −0.705793 | + | 0.740077i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −11.1969 | −0.408579 | −0.204290 | − | 0.978910i | \(-0.565488\pi\) | ||||
−0.204290 | + | 0.978910i | \(0.565488\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −14.9557 | − | 14.9557i | −0.545017 | − | 0.545017i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 32.9007 | − | 1.23094i | 1.19738 | − | 0.0447984i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −13.9324 | + | 13.9324i | −0.506383 | + | 0.506383i | −0.913414 | − | 0.407031i | \(-0.866564\pi\) |
0.407031 | + | 0.913414i | \(0.366564\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 29.0877 | 1.05582 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 8.78825i | 0.318574i | 0.987232 | + | 0.159287i | \(0.0509195\pi\) | ||||
−0.987232 | + | 0.159287i | \(0.949081\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −0.0419093 | − | 1.76746i | −0.00151722 | − | 0.0639862i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −3.61007 | + | 3.89070i | −0.130522 | + | 0.140669i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −3.05747 | + | 3.05747i | −0.110399 | + | 0.110399i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −11.2183 | −0.404543 | −0.202271 | − | 0.979330i | \(-0.564832\pi\) | ||||
−0.202271 | + | 0.979330i | \(0.564832\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 13.2830 | 0.478374 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 21.5065 | − | 21.5065i | 0.773535 | − | 0.773535i | −0.205188 | − | 0.978723i | \(-0.565781\pi\) |
0.978723 | + | 0.205188i | \(0.0657806\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −1.84498 | − | 24.6220i | −0.0662738 | − | 0.884450i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0.0259236 | + | 1.09328i | 0.000930003 | + | 0.0392214i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | − | 55.0905i | − | 1.97382i | ||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 4.75520 | 0.170155 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −2.58229 | + | 2.58229i | −0.0922835 | + | 0.0922835i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −18.4639 | − | 17.1321i | −0.659004 | − | 0.611471i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −37.4673 | − | 37.4673i | −1.33557 | − | 1.33557i | −0.900304 | − | 0.435262i | \(-0.856656\pi\) |
−0.435262 | − | 0.900304i | \(-0.643344\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 21.7476 | 0.774235 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −9.19686 | − | 8.77082i | −0.327003 | − | 0.311854i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 3.55834 | + | 3.55834i | 0.126360 | + | 0.126360i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −17.0534 | + | 0.638029i | −0.604821 | + | 0.0226286i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 6.96365 | + | 6.96365i | 0.246665 | + | 0.246665i | 0.819601 | − | 0.572935i | \(-0.194195\pi\) |
−0.572935 | + | 0.819601i | \(0.694195\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 1.02484i | − | 0.0362563i | ||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | − | 7.82581i | − | 0.276511i | ||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −5.51258 | + | 5.51258i | −0.194535 | + | 0.194535i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 32.3346 | + | 28.6062i | 1.13964 | + | 1.00824i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 16.2530 | − | 16.2530i | 0.572131 | − | 0.572131i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 42.2409i | 1.48511i | 0.669784 | + | 0.742556i | \(0.266387\pi\) | ||||
−0.669784 | + | 0.742556i | \(0.733613\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 34.9480i | − | 1.22719i | −0.789620 | − | 0.613596i | \(-0.789723\pi\) | ||
0.789620 | − | 0.613596i | \(-0.210277\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −11.1438 | − | 11.1438i | −0.390828 | − | 0.390828i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −24.2125 | − | 22.4661i | −0.848128 | − | 0.786953i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −26.3613 | − | 26.3613i | −0.922266 | − | 0.922266i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −1.35505 | − | 1.29227i | −0.0473492 | − | 0.0451557i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −4.13417 | −0.144284 | −0.0721418 | − | 0.997394i | \(-0.522983\pi\) | ||||
−0.0721418 | + | 0.997394i | \(0.522983\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 5.72102 | + | 5.72102i | 0.199422 | + | 0.199422i | 0.799752 | − | 0.600330i | \(-0.204964\pi\) |
−0.600330 | + | 0.799752i | \(0.704964\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 13.0003 | − | 15.1064i | 0.452611 | − | 0.525936i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −17.0630 | + | 17.0630i | −0.593339 | + | 0.593339i | −0.938532 | − | 0.345193i | \(-0.887813\pi\) |
0.345193 | + | 0.938532i | \(0.387813\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −37.7146 | −1.30988 | −0.654940 | − | 0.755680i | \(-0.727306\pi\) | ||||
−0.654940 | + | 0.755680i | \(0.727306\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 6.79913i | 0.235859i | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −12.2924 | − | 11.1787i | −0.425908 | − | 0.387320i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −10.7472 | − | 9.97204i | −0.371923 | − | 0.345097i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 3.49184 | − | 3.49184i | 0.120696 | − | 0.120696i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −22.3652 | −0.772133 | −0.386066 | − | 0.922471i | \(-0.626166\pi\) | ||||
−0.386066 | + | 0.922471i | \(0.626166\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 15.6636 | 0.540123 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 6.82823 | − | 6.82823i | 0.235177 | − | 0.235177i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 1.04494 | + | 27.9294i | 0.0359470 | + | 0.960799i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 12.9298 | − | 0.306586i | 0.444272 | − | 0.0105344i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | − | 21.0852i | − | 0.723643i | ||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 3.01631 | 0.103398 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 24.1276 | − | 24.1276i | 0.826114 | − | 0.826114i | −0.160863 | − | 0.986977i | \(-0.551428\pi\) |
0.986977 | + | 0.160863i | \(0.0514276\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −0.603474 | − | 16.1298i | −0.0206384 | − | 0.551627i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −1.53096 | − | 1.53096i | −0.0522968 | − | 0.0522968i | 0.680475 | − | 0.732772i | \(-0.261774\pi\) |
−0.732772 | + | 0.680475i | \(0.761774\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 41.8095 | 1.42652 | 0.713261 | − | 0.700899i | \(-0.247218\pi\) | ||||
0.713261 | + | 0.700899i | \(0.247218\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 14.6123 | + | 13.9354i | 0.497986 | + | 0.474917i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 14.0647 | + | 14.0647i | 0.478770 | + | 0.478770i | 0.904738 | − | 0.425968i | \(-0.140067\pi\) |
−0.425968 | + | 0.904738i | \(0.640067\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −5.34566 | + | 5.76121i | −0.181758 | + | 0.195887i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 8.03695 | + | 8.03695i | 0.272949 | + | 0.272949i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | − | 34.4403i | − | 1.16831i | ||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0.945011i | 0.0320205i | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 7.43671 | − | 7.43671i | 0.251694 | − | 0.251694i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 29.3077 | − | 4.00749i | 0.990780 | − | 0.135478i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −39.3844 | + | 39.3844i | −1.32992 | + | 1.32992i | −0.424477 | + | 0.905438i | \(0.639542\pi\) |
−0.905438 | + | 0.424477i | \(0.860458\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 6.77742i | 0.228597i | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 25.7205i | 0.866546i | 0.901263 | + | 0.433273i | \(0.142641\pi\) | ||||
−0.901263 | + | 0.433273i | \(0.857359\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 25.0968 | + | 25.0968i | 0.844574 | + | 0.844574i | 0.989450 | − | 0.144876i | \(-0.0462784\pi\) |
−0.144876 | + | 0.989450i | \(0.546278\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 9.29219 | − | 10.0145i | 0.312354 | − | 0.336635i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 37.8947 | + | 37.8947i | 1.27238 | + | 1.27238i | 0.944837 | + | 0.327541i | \(0.106220\pi\) |
0.327541 | + | 0.944837i | \(0.393780\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 15.2055 | − | 15.9441i | 0.509975 | − | 0.534748i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 3.98602 | 0.133537 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 2.20383 | + | 2.20383i | 0.0737484 | + | 0.0737484i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 1.84849 | + | 49.4068i | 0.0617882 | + | 1.65149i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −3.65191 | + | 3.65191i | −0.121934 | + | 0.121934i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 18.0339 | 0.601464 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 18.1150i | − | 0.603499i | ||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 13.6604 | − | 0.323910i | 0.454588 | − | 0.0107790i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −0.709378 | − | 18.9604i | −0.0235805 | − | 0.630265i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 30.5961 | − | 30.5961i | 1.01593 | − | 1.01593i | 0.0160555 | − | 0.999871i | \(-0.494889\pi\) |
0.999871 | − | 0.0160555i | \(-0.00511086\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 6.31633 | 0.209499 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −20.7843 | −0.688614 | −0.344307 | − | 0.938857i | \(-0.611886\pi\) | ||||
−0.344307 | + | 0.938857i | \(0.611886\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −47.7905 | + | 47.7905i | −1.58163 | + | 1.58163i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −11.6551 | − | 10.8144i | −0.385306 | − | 0.357514i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 1.17999 | + | 49.7643i | 0.0389669 | + | 1.64336i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 47.6045i | 1.57033i | 0.619288 | + | 0.785164i | \(0.287421\pi\) | ||||
−0.619288 | + | 0.785164i | \(0.712579\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 13.9309 | 0.459038 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −0.597007 | + | 0.597007i | −0.0196507 | + | 0.0196507i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 1.34809 | − | 1.56649i | 0.0443249 | − | 0.0515057i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −12.5410 | − | 12.5410i | −0.411899 | − | 0.411899i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 40.6532 | 1.33379 | 0.666895 | − | 0.745152i | \(-0.267623\pi\) | ||||
0.666895 | + | 0.745152i | \(0.267623\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 50.4727 | − | 2.39493i | 1.65418 | − | 0.0784906i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 19.3085 | + | 19.3085i | 0.632132 | + | 0.632132i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 15.5084 | + | 14.3898i | 0.507180 | + | 0.470598i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −8.25994 | − | 8.25994i | −0.269841 | − | 0.269841i | 0.559195 | − | 0.829036i | \(-0.311110\pi\) |
−0.829036 | + | 0.559195i | \(0.811110\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 26.1742i | 0.854163i | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 28.7824i | 0.938281i | 0.883124 | + | 0.469140i | \(0.155436\pi\) | ||||
−0.883124 | + | 0.469140i | \(0.844564\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 39.3808 | − | 39.3808i | 1.28242 | − | 1.28242i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 4.43095 | + | 3.92004i | 0.144139 | + | 0.127519i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −4.26936 | + | 4.26936i | −0.138736 | + | 0.138736i | −0.773064 | − | 0.634328i | \(-0.781277\pi\) |
0.634328 | + | 0.773064i | \(0.281277\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | − | 1.38419i | − | 0.0449327i | ||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | − | 30.9421i | − | 1.00336i | ||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 31.8382 | + | 31.8382i | 1.03134 | + | 1.03134i | 0.999493 | + | 0.0318472i | \(0.0101390\pi\) |
0.0318472 | + | 0.999493i | \(0.489861\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −34.1652 | + | 1.27825i | −1.10556 | + | 0.0413631i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 10.2931 | + | 10.2931i | 0.332728 | + | 0.332728i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −2.09676 | + | 2.19861i | −0.0677079 | + | 0.0709968i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 6.61406 | 0.213357 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 7.48020 | + | 7.48020i | 0.241046 | + | 0.241046i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −20.6957 | − | 19.2030i | −0.666220 | − | 0.618166i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 17.5518 | − | 17.5518i | 0.564429 | − | 0.564429i | −0.366134 | − | 0.930562i | \(-0.619319\pi\) |
0.930562 | + | 0.366134i | \(0.119319\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 17.1339 | 0.550421 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 0.0930634i | 0.00298655i | 0.999999 | + | 0.00149327i | \(0.000475324\pi\) | ||||
−0.999999 | + | 0.00149327i | \(0.999525\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 1.17026 | − | 0.0277487i | 0.0375167 | − | 0.000889582i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0.264416 | + | 3.52873i | 0.00846808 | + | 0.113010i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 5.19792 | − | 5.19792i | 0.166296 | − | 0.166296i | −0.619053 | − | 0.785349i | \(-0.712483\pi\) |
0.785349 | + | 0.619053i | \(0.212483\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −31.1938 | −0.996959 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −0.668223 | −0.0213347 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 30.3939 | − | 30.3939i | 0.969415 | − | 0.969415i | −0.0301305 | − | 0.999546i | \(-0.509592\pi\) |
0.999546 | + | 0.0301305i | \(0.00959230\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −5.77980 | + | 6.22909i | −0.184160 | + | 0.198475i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −1.14202 | + | 0.0270792i | −0.0363509 | + | 0.000861939i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | − | 37.6882i | − | 1.19842i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −34.2648 | −1.08846 | −0.544228 | − | 0.838937i | \(-0.683177\pi\) | ||||
−0.544228 | + | 0.838937i | \(0.683177\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −11.8025 | + | 11.8025i | −0.374542 | + | 0.374542i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −1.37788 | + | 0.0515514i | −0.0436817 | + | 0.00163429i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −21.1809 | − | 21.1809i | −0.670805 | − | 0.670805i | 0.287097 | − | 0.957902i | \(-0.407310\pi\) |
−0.957902 | + | 0.287097i | \(0.907310\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 0.413339 | 0.0130775 |
(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.433.4 | 16 | ||
4.3 | odd | 2 | 105.2.m.a.13.4 | yes | 16 | ||
5.2 | odd | 4 | inner | 1680.2.cz.d.97.5 | 16 | ||
7.6 | odd | 2 | inner | 1680.2.cz.d.433.5 | 16 | ||
12.11 | even | 2 | 315.2.p.e.118.5 | 16 | |||
20.3 | even | 4 | 525.2.m.b.307.6 | 16 | |||
20.7 | even | 4 | 105.2.m.a.97.3 | yes | 16 | ||
20.19 | odd | 2 | 525.2.m.b.118.5 | 16 | |||
28.3 | even | 6 | 735.2.v.a.313.4 | 32 | |||
28.11 | odd | 6 | 735.2.v.a.313.3 | 32 | |||
28.19 | even | 6 | 735.2.v.a.178.5 | 32 | |||
28.23 | odd | 6 | 735.2.v.a.178.6 | 32 | |||
28.27 | even | 2 | 105.2.m.a.13.3 | ✓ | 16 | ||
35.27 | even | 4 | inner | 1680.2.cz.d.97.4 | 16 | ||
60.47 | odd | 4 | 315.2.p.e.307.6 | 16 | |||
84.83 | odd | 2 | 315.2.p.e.118.6 | 16 | |||
140.27 | odd | 4 | 105.2.m.a.97.4 | yes | 16 | ||
140.47 | odd | 12 | 735.2.v.a.472.3 | 32 | |||
140.67 | even | 12 | 735.2.v.a.607.5 | 32 | |||
140.83 | odd | 4 | 525.2.m.b.307.5 | 16 | |||
140.87 | odd | 12 | 735.2.v.a.607.6 | 32 | |||
140.107 | even | 12 | 735.2.v.a.472.4 | 32 | |||
140.139 | even | 2 | 525.2.m.b.118.6 | 16 | |||
420.167 | even | 4 | 315.2.p.e.307.5 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.2.m.a.13.3 | ✓ | 16 | 28.27 | even | 2 | ||
105.2.m.a.13.4 | yes | 16 | 4.3 | odd | 2 | ||
105.2.m.a.97.3 | yes | 16 | 20.7 | even | 4 | ||
105.2.m.a.97.4 | yes | 16 | 140.27 | odd | 4 | ||
315.2.p.e.118.5 | 16 | 12.11 | even | 2 | |||
315.2.p.e.118.6 | 16 | 84.83 | odd | 2 | |||
315.2.p.e.307.5 | 16 | 420.167 | even | 4 | |||
315.2.p.e.307.6 | 16 | 60.47 | odd | 4 | |||
525.2.m.b.118.5 | 16 | 20.19 | odd | 2 | |||
525.2.m.b.118.6 | 16 | 140.139 | even | 2 | |||
525.2.m.b.307.5 | 16 | 140.83 | odd | 4 | |||
525.2.m.b.307.6 | 16 | 20.3 | even | 4 | |||
735.2.v.a.178.5 | 32 | 28.19 | even | 6 | |||
735.2.v.a.178.6 | 32 | 28.23 | odd | 6 | |||
735.2.v.a.313.3 | 32 | 28.11 | odd | 6 | |||
735.2.v.a.313.4 | 32 | 28.3 | even | 6 | |||
735.2.v.a.472.3 | 32 | 140.47 | odd | 12 | |||
735.2.v.a.472.4 | 32 | 140.107 | even | 12 | |||
735.2.v.a.607.5 | 32 | 140.67 | even | 12 | |||
735.2.v.a.607.6 | 32 | 140.87 | odd | 12 | |||
1680.2.cz.d.97.4 | 16 | 35.27 | even | 4 | inner | ||
1680.2.cz.d.97.5 | 16 | 5.2 | odd | 4 | inner | ||
1680.2.cz.d.433.4 | 16 | 1.1 | even | 1 | trivial | ||
1680.2.cz.d.433.5 | 16 | 7.6 | odd | 2 | inner |