Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1440,2,Mod(191,1440)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1440, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 0, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1440.191");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1440 = 2^{5} \cdot 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1440.bw (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(11.4984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 191.16 | ||
Character | \(\chi\) | \(=\) | 1440.191 |
Dual form | 1440.2.bw.b.671.16 |
$q$-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 \(\left(\mathbb{Z}/1440\mathbb{Z}\right)^\times\).
\(n\) | \(577\) | \(641\) | \(901\) | \(991\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) | \(1\) | \(-1\) |
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 | ||||||||
\(3\) | 0.793361 | + | 1.53967i | 0.458047 | + | 0.888928i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.866025 | − | 0.500000i | 0.387298 | − | 0.223607i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.37166 | − | 1.36928i | −0.896404 | − | 0.517539i | −0.0203721 | − | 0.999792i | \(-0.506485\pi\) |
−0.876032 | + | 0.482253i | \(0.839818\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −1.74116 | + | 2.44302i | −0.580386 | + | 0.814342i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −2.13116 | + | 3.69127i | −0.642568 | + | 1.11296i | 0.342290 | + | 0.939594i | \(0.388797\pi\) |
−0.984858 | + | 0.173365i | \(0.944536\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.63886 | − | 2.83859i | −0.454539 | − | 0.787284i | 0.544123 | − | 0.839006i | \(-0.316863\pi\) |
−0.998662 | + | 0.0517214i | \(0.983529\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 1.45690 | + | 0.936712i | 0.376171 | + | 0.241858i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 2.83591i | 0.687809i | 0.939005 | + | 0.343904i | \(0.111750\pi\) | ||||
−0.939005 | + | 0.343904i | \(0.888250\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.727896i | 0.166991i | 0.996508 | + | 0.0834953i | \(0.0266084\pi\) | ||||
−0.996508 | + | 0.0834953i | \(0.973392\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.226653 | − | 4.73791i | 0.0494598 | − | 1.03390i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0.0358515 | + | 0.0620966i | 0.00747555 | + | 0.0129480i | 0.869739 | − | 0.493512i | \(-0.164287\pi\) |
−0.862263 | + | 0.506460i | \(0.830954\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.500000 | − | 0.866025i | 0.100000 | − | 0.173205i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −5.14281 | − | 0.742605i | −0.989735 | − | 0.142914i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −2.08008 | − | 1.20094i | −0.386261 | − | 0.223008i | 0.294278 | − | 0.955720i | \(-0.404921\pi\) |
−0.680539 | + | 0.732712i | \(0.738254\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −9.00852 | + | 5.20107i | −1.61798 | + | 0.934140i | −0.630535 | + | 0.776160i | \(0.717165\pi\) |
−0.987442 | + | 0.157979i | \(0.949502\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −7.37411 | − | 0.352764i | −1.28367 | − | 0.0614084i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −2.73856 | −0.462901 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.82072 | 0.463723 | 0.231862 | − | 0.972749i | \(-0.425518\pi\) | ||||
0.231862 | + | 0.972749i | \(0.425518\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 3.07028 | − | 4.77533i | 0.491639 | − | 0.764665i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −3.93392 | + | 2.27125i | −0.614375 | + | 0.354709i | −0.774676 | − | 0.632359i | \(-0.782087\pi\) |
0.160301 | + | 0.987068i | \(0.448754\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −5.31712 | − | 3.06984i | −0.810853 | − | 0.468146i | 0.0363988 | − | 0.999337i | \(-0.488411\pi\) |
−0.847252 | + | 0.531191i | \(0.821745\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −0.286374 | + | 2.98630i | −0.0426901 | + | 0.445171i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −3.66789 | + | 6.35297i | −0.535016 | + | 0.926676i | 0.464146 | + | 0.885759i | \(0.346361\pi\) |
−0.999163 | + | 0.0409170i | \(0.986972\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.249853 | + | 0.432758i | 0.0356933 | + | 0.0618226i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −4.36636 | + | 2.24990i | −0.611412 | + | 0.315049i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | − | 8.55298i | − | 1.17484i | −0.809282 | − | 0.587421i | \(-0.800143\pi\) | ||
0.809282 | − | 0.587421i | \(-0.199857\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 4.26231i | 0.574730i | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −1.12072 | + | 0.577484i | −0.148443 | + | 0.0764896i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 0.127600 | + | 0.221010i | 0.0166121 | + | 0.0287731i | 0.874212 | − | 0.485544i | \(-0.161379\pi\) |
−0.857600 | + | 0.514318i | \(0.828045\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −5.20923 | + | 9.02266i | −0.666974 | + | 1.15523i | 0.311772 | + | 0.950157i | \(0.399078\pi\) |
−0.978746 | + | 0.205076i | \(0.934256\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 7.47462 | − | 3.40990i | 0.941714 | − | 0.429607i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −2.83859 | − | 1.63886i | −0.352084 | − | 0.203276i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −5.10230 | + | 2.94582i | −0.623346 | + | 0.359889i | −0.778170 | − | 0.628053i | \(-0.783852\pi\) |
0.154825 | + | 0.987942i | \(0.450519\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −0.0671650 | + | 0.104464i | −0.00808571 | + | 0.0125760i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 11.8687 | 1.40855 | 0.704277 | − | 0.709925i | \(-0.251271\pi\) | ||||
0.704277 | + | 0.709925i | \(0.251271\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 11.0642 | 1.29496 | 0.647481 | − | 0.762082i | \(-0.275822\pi\) | ||||
0.647481 | + | 0.762082i | \(0.275822\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 1.73007 | + | 0.0827637i | 0.199772 | + | 0.00955672i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 10.1088 | − | 5.83630i | 1.15200 | − | 0.665108i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 6.15954 | + | 3.55621i | 0.693003 | + | 0.400105i | 0.804736 | − | 0.593633i | \(-0.202307\pi\) |
−0.111733 | + | 0.993738i | \(0.535640\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −2.93674 | − | 8.50738i | −0.326305 | − | 0.945265i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −7.46615 | + | 12.9318i | −0.819516 | + | 1.41944i | 0.0865226 | + | 0.996250i | \(0.472425\pi\) |
−0.906039 | + | 0.423194i | \(0.860909\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.41795 | + | 2.45597i | 0.153799 | + | 0.266387i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0.198788 | − | 4.15541i | 0.0213123 | − | 0.445507i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | − | 13.2351i | − | 1.40292i | −0.712708 | − | 0.701460i | \(-0.752532\pi\) | ||
0.712708 | − | 0.701460i | \(-0.247468\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 8.97624i | 0.940966i | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −15.1549 | − | 9.74381i | −1.57149 | − | 1.01039i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0.363948 | + | 0.630376i | 0.0373403 | + | 0.0646752i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −4.75267 | + | 8.23187i | −0.482561 | + | 0.835820i | −0.999800 | − | 0.0200212i | \(-0.993627\pi\) |
0.517239 | + | 0.855841i | \(0.326960\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −5.30719 | − | 11.6335i | −0.533392 | − | 1.16922i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −8.75224 | − | 5.05311i | −0.870880 | − | 0.502803i | −0.00323951 | − | 0.999995i | \(-0.501031\pi\) |
−0.867641 | + | 0.497192i | \(0.834365\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 10.7206 | − | 6.18955i | 1.05633 | − | 0.609874i | 0.131917 | − | 0.991261i | \(-0.457887\pi\) |
0.924416 | + | 0.381387i | \(0.124553\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −2.17267 | − | 4.21647i | −0.212030 | − | 0.411486i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 11.7672 | 1.13758 | 0.568791 | − | 0.822482i | \(-0.307411\pi\) | ||||
0.568791 | + | 0.822482i | \(0.307411\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −17.4975 | −1.67595 | −0.837977 | − | 0.545705i | \(-0.816262\pi\) | ||||
−0.837977 | + | 0.545705i | \(0.816262\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 2.23785 | + | 4.34297i | 0.212407 | + | 0.412217i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 0.575714 | − | 0.332388i | 0.0541586 | − | 0.0312685i | −0.472676 | − | 0.881236i | \(-0.656712\pi\) |
0.526835 | + | 0.849968i | \(0.323379\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.0620966 | + | 0.0358515i | 0.00579053 | + | 0.00334317i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 9.78827 | + | 0.938656i | 0.904926 | + | 0.0867788i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 3.88315 | − | 6.72581i | 0.355968 | − | 0.616554i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −3.58365 | − | 6.20706i | −0.325786 | − | 0.564278i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −6.61798 | − | 4.25501i | −0.596724 | − | 0.383661i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | − | 1.00000i | − | 0.0894427i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 5.30857i | 0.471059i | 0.971867 | + | 0.235530i | \(0.0756825\pi\) | ||||
−0.971867 | + | 0.235530i | \(0.924317\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0.508143 | − | 10.6221i | 0.0447395 | − | 0.935223i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −0.0573156 | − | 0.0992736i | −0.00500769 | − | 0.00867357i | 0.863511 | − | 0.504331i | \(-0.168261\pi\) |
−0.868518 | + | 0.495657i | \(0.834927\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.996693 | − | 1.72632i | 0.0864242 | − | 0.149691i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −4.82511 | + | 1.92829i | −0.415279 | + | 0.165961i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 12.8710 | + | 7.43106i | 1.09964 | + | 0.634878i | 0.936127 | − | 0.351662i | \(-0.114383\pi\) |
0.163515 | + | 0.986541i | \(0.447717\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −13.7489 | + | 7.93791i | −1.16616 | + | 0.673285i | −0.952773 | − | 0.303682i | \(-0.901784\pi\) |
−0.213390 | + | 0.976967i | \(0.568451\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −12.6914 | − | 0.607136i | −1.06881 | − | 0.0511300i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 13.9707 | 1.16829 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −2.40187 | −0.199465 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −0.468080 | + | 0.728024i | −0.0386066 | + | 0.0600464i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 18.3980 | − | 10.6221i | 1.50723 | − | 0.870197i | 0.507261 | − | 0.861793i | \(-0.330658\pi\) |
0.999965 | − | 0.00840423i | \(-0.00267518\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −11.2204 | − | 6.47813i | −0.913107 | − | 0.527182i | −0.0316774 | − | 0.999498i | \(-0.510085\pi\) |
−0.881429 | + | 0.472316i | \(0.843418\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −6.92819 | − | 4.93776i | −0.560111 | − | 0.399194i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −5.20107 | + | 9.00852i | −0.417760 | + | 0.723582i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 4.26408 | + | 7.38561i | 0.340311 | + | 0.589436i | 0.984490 | − | 0.175439i | \(-0.0561344\pi\) |
−0.644180 | + | 0.764874i | \(0.722801\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 13.1687 | − | 6.78560i | 1.04435 | − | 0.538133i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | − | 0.196363i | − | 0.0154755i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | − | 11.6869i | − | 0.915387i | −0.889110 | − | 0.457693i | \(-0.848676\pi\) | ||
0.889110 | − | 0.457693i | \(-0.151324\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −6.56255 | + | 3.38155i | −0.510893 | + | 0.263253i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 1.33242 | + | 2.30781i | 0.103106 | + | 0.178584i | 0.912963 | − | 0.408043i | \(-0.133789\pi\) |
−0.809857 | + | 0.586627i | \(0.800455\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.12826 | − | 1.95420i | 0.0867892 | − | 0.150323i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −1.77827 | − | 1.26738i | −0.135987 | − | 0.0969190i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 12.1307 | + | 7.00365i | 0.922279 | + | 0.532478i | 0.884361 | − | 0.466803i | \(-0.154594\pi\) |
0.0379173 | + | 0.999281i | \(0.487928\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −2.37166 | + | 1.36928i | −0.179281 | + | 0.103508i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −0.239049 | + | 0.371803i | −0.0179681 | + | 0.0279464i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −4.41219 | −0.329782 | −0.164891 | − | 0.986312i | \(-0.552727\pi\) | ||||
−0.164891 | + | 0.986312i | \(0.552727\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −14.4164 | −1.07157 | −0.535783 | − | 0.844356i | \(-0.679983\pi\) | ||||
−0.535783 | + | 0.844356i | \(0.679983\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −18.0247 | − | 0.862271i | −1.33242 | − | 0.0637409i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 2.44281 | − | 1.41036i | 0.179599 | − | 0.103692i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −10.4681 | − | 6.04376i | −0.765503 | − | 0.441964i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 11.1802 | + | 8.80316i | 0.813239 | + | 0.640336i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 0.405607 | − | 0.702531i | 0.0293487 | − | 0.0508334i | −0.850978 | − | 0.525201i | \(-0.823990\pi\) |
0.880327 | + | 0.474368i | \(0.157323\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 10.8228 | + | 18.7456i | 0.779039 | + | 1.34934i | 0.932496 | + | 0.361180i | \(0.117626\pi\) |
−0.153457 | + | 0.988155i | \(0.549041\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0.271276 | − | 5.67070i | 0.0194265 | − | 0.406087i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | − | 4.24503i | − | 0.302446i | −0.988500 | − | 0.151223i | \(-0.951679\pi\) | ||
0.988500 | − | 0.151223i | \(-0.0483212\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | − | 13.2906i | − | 0.942145i | −0.882094 | − | 0.471073i | \(-0.843867\pi\) | ||
0.882094 | − | 0.471073i | \(-0.156133\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −8.58355 | − | 5.51876i | −0.605437 | − | 0.389263i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 3.28883 | + | 5.69643i | 0.230831 | + | 0.399811i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −2.27125 | + | 3.93392i | −0.158631 | + | 0.274757i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −0.214126 | − | 0.0205339i | −0.0148828 | − | 0.00142720i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −2.68686 | − | 1.55126i | −0.185854 | − | 0.107303i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −17.7019 | + | 10.2202i | −1.21865 | + | 0.703589i | −0.964630 | − | 0.263609i | \(-0.915087\pi\) |
−0.254023 | + | 0.967198i | \(0.581754\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 9.41615 | + | 18.2738i | 0.645184 | + | 1.25210i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −6.13968 | −0.418723 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 28.4869 | 1.93382 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 8.77787 | + | 17.0351i | 0.593154 | + | 1.15113i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 8.04999 | − | 4.64766i | 0.541501 | − | 0.312636i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 6.58694 | + | 3.80297i | 0.441094 | + | 0.254666i | 0.704062 | − | 0.710139i | \(-0.251368\pi\) |
−0.262968 | + | 0.964805i | \(0.584701\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 1.24514 | + | 2.72940i | 0.0830095 | + | 0.181960i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 10.0598 | − | 17.4241i | 0.667695 | − | 1.15648i | −0.310852 | − | 0.950458i | \(-0.600614\pi\) |
0.978547 | − | 0.206023i | \(-0.0660522\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 11.2582 | + | 19.4999i | 0.743966 | + | 1.28859i | 0.950676 | + | 0.310185i | \(0.100391\pi\) |
−0.206710 | + | 0.978402i | \(0.566276\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 17.0059 | + | 10.9339i | 1.11890 | + | 0.719395i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 27.8539i | 1.82477i | 0.409330 | + | 0.912386i | \(0.365762\pi\) | ||||
−0.409330 | + | 0.912386i | \(0.634238\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 7.33578i | 0.478533i | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −0.588650 | + | 12.3050i | −0.0382370 | + | 0.799296i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 2.55154 | + | 4.41940i | 0.165046 | + | 0.285867i | 0.936671 | − | 0.350209i | \(-0.113890\pi\) |
−0.771626 | + | 0.636077i | \(0.780556\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −7.96107 | + | 13.7890i | −0.512817 | + | 0.888226i | 0.487072 | + | 0.873362i | \(0.338065\pi\) |
−0.999890 | + | 0.0148641i | \(0.995268\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 10.7687 | − | 11.2710i | 0.690809 | − | 0.723037i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0.432758 | + | 0.249853i | 0.0276479 | + | 0.0159625i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 2.06620 | − | 1.19292i | 0.131469 | − | 0.0759037i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −25.8340 | − | 1.23585i | −1.63716 | − | 0.0783189i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 20.5073 | 1.29441 | 0.647206 | − | 0.762315i | \(-0.275937\pi\) | ||||
0.647206 | + | 0.762315i | \(0.275937\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.305620 | −0.0192142 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −2.65643 | + | 4.13165i | −0.166352 | + | 0.258734i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 11.2924 | − | 6.51968i | 0.704401 | − | 0.406686i | −0.104583 | − | 0.994516i | \(-0.533351\pi\) |
0.808985 | + | 0.587830i | \(0.200018\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −6.68979 | − | 3.86235i | −0.415683 | − | 0.239995i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 6.55567 | − | 2.99067i | 0.405786 | − | 0.185118i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −2.46501 | + | 4.26952i | −0.151999 | + | 0.263270i | −0.931962 | − | 0.362555i | \(-0.881904\pi\) |
0.779963 | + | 0.625825i | \(0.215238\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −4.27649 | − | 7.40710i | −0.262703 | − | 0.455014i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 20.3777 | − | 10.5002i | 1.24710 | − | 0.642604i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 17.6006i | 1.07313i | 0.843859 | + | 0.536564i | \(0.180278\pi\) | ||||
−0.843859 | + | 0.536564i | \(0.819722\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 9.91265i | − | 0.602150i | −0.953600 | − | 0.301075i | \(-0.902654\pi\) | ||
0.953600 | − | 0.301075i | \(-0.0973455\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −13.8204 | + | 7.12140i | −0.836451 | + | 0.431007i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 2.13116 | + | 3.69127i | 0.128514 | + | 0.222592i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −5.72542 | + | 9.91671i | −0.344007 | + | 0.595838i | −0.985173 | − | 0.171565i | \(-0.945118\pi\) |
0.641166 | + | 0.767402i | \(0.278451\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 2.97891 | − | 31.0639i | 0.178342 | − | 1.85975i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −14.8952 | − | 8.59973i | −0.888571 | − | 0.513017i | −0.0150962 | − | 0.999886i | \(-0.504805\pi\) |
−0.873475 | + | 0.486869i | \(0.838139\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −18.4145 | + | 10.6316i | −1.09463 | + | 0.631985i | −0.934805 | − | 0.355161i | \(-0.884426\pi\) |
−0.159824 | + | 0.987145i | \(0.551093\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −0.681828 | + | 1.06047i | −0.0403880 | + | 0.0628171i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 12.4399 | 0.734304 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 8.95763 | 0.526919 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −16.4449 | − | 0.786697i | −0.964019 | − | 0.0461170i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 6.41060 | − | 3.70116i | 0.374511 | − | 0.216224i | −0.300916 | − | 0.953651i | \(-0.597292\pi\) |
0.675427 | + | 0.737426i | \(0.263959\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.221010 | + | 0.127600i | 0.0128677 | + | 0.00742918i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 13.7013 | − | 17.4009i | 0.795030 | − | 1.00970i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 0.117511 | − | 0.203535i | 0.00679585 | − | 0.0117708i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 8.40694 | + | 14.5613i | 0.484568 | + | 0.839297i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 0.836427 | − | 17.4845i | 0.0480515 | − | 1.00446i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 10.4185i | 0.596560i | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 28.3797i | − | 1.61972i | −0.586625 | − | 0.809859i | \(-0.699544\pi\) | ||
0.586625 | − | 0.809859i | \(-0.300456\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 18.0352 | + | 11.5956i | 1.02598 | + | 0.659653i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 16.4715 | + | 28.5295i | 0.934014 | + | 1.61776i | 0.776384 | + | 0.630261i | \(0.217052\pi\) |
0.157630 | + | 0.987498i | \(0.449615\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 15.6844 | − | 27.1663i | 0.886537 | − | 1.53553i | 0.0425960 | − | 0.999092i | \(-0.486437\pi\) |
0.843941 | − | 0.536435i | \(-0.180229\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 4.76826 | − | 6.69037i | 0.268661 | − | 0.376960i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −15.1181 | − | 8.72843i | −0.849117 | − | 0.490238i | 0.0112361 | − | 0.999937i | \(-0.496423\pi\) |
−0.860353 | + | 0.509699i | \(0.829757\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 8.86596 | − | 5.11876i | 0.496398 | − | 0.286596i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 9.33567 | + | 18.1177i | 0.521066 | + | 1.01123i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −2.06424 | −0.114858 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −3.27773 | −0.181815 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −13.8818 | − | 26.9403i | −0.767666 | − | 1.48980i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 17.3980 | − | 10.0447i | 0.959182 | − | 0.553784i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 17.8042 | + | 10.2793i | 0.978609 | + | 0.565000i | 0.901850 | − | 0.432050i | \(-0.142210\pi\) |
0.0767588 | + | 0.997050i | \(0.475543\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −4.91132 | + | 6.89109i | −0.269139 | + | 0.377629i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −2.94582 | + | 5.10230i | −0.160947 | + | 0.278769i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 11.0494 | + | 19.1381i | 0.601897 | + | 1.04252i | 0.992534 | + | 0.121972i | \(0.0389217\pi\) |
−0.390636 | + | 0.920545i | \(0.627745\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0.968516 | + | 0.622704i | 0.0526026 | + | 0.0338206i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | − | 44.3372i | − | 2.40099i | ||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 17.8014i | 0.961187i | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −0.00593440 | + | 0.124051i | −0.000319497 | + | 0.00667870i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −15.7942 | − | 27.3563i | −0.847876 | − | 1.46857i | −0.883100 | − | 0.469186i | \(-0.844548\pi\) |
0.0352231 | − | 0.999379i | \(-0.488786\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −4.73817 | + | 8.20675i | −0.253628 | + | 0.439297i | −0.964522 | − | 0.264002i | \(-0.914957\pi\) |
0.710894 | + | 0.703299i | \(0.248291\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 6.32041 | + | 15.8154i | 0.337359 | + | 0.844163i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 16.5269 | + | 9.54183i | 0.879640 | + | 0.507861i | 0.870540 | − | 0.492098i | \(-0.163770\pi\) |
0.00910055 | + | 0.999959i | \(0.497103\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 10.2786 | − | 5.93434i | 0.545531 | − | 0.314962i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 13.4363 | + | 0.642767i | 0.711122 | + | 0.0340189i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 12.4556 | 0.657380 | 0.328690 | − | 0.944438i | \(-0.393393\pi\) | ||||
0.328690 | + | 0.944438i | \(0.393393\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 18.4702 | 0.972114 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 6.71369 | − | 10.4421i | 0.352377 | − | 0.548066i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 9.58184 | − | 5.53208i | 0.501537 | − | 0.289562i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −22.3268 | − | 12.8904i | −1.16545 | − | 0.672872i | −0.212845 | − | 0.977086i | \(-0.568273\pi\) |
−0.952604 | + | 0.304213i | \(0.901606\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 1.30085 | − | 13.5653i | 0.0677197 | − | 0.706179i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −11.7114 | + | 20.2848i | −0.608026 | + | 1.05313i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −9.85981 | − | 17.0777i | −0.510521 | − | 0.884249i | −0.999926 | − | 0.0121921i | \(-0.996119\pi\) |
0.489404 | − | 0.872057i | \(-0.337214\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 1.53967 | − | 0.793361i | 0.0795081 | − | 0.0409690i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 7.87267i | 0.405463i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 7.31162i | 0.375573i | 0.982210 | + | 0.187786i | \(0.0601312\pi\) | ||||
−0.982210 | + | 0.187786i | \(0.939869\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −8.17344 | + | 4.21161i | −0.418738 | + | 0.215767i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −10.7945 | − | 18.6966i | −0.551573 | − | 0.955352i | −0.998161 | − | 0.0606129i | \(-0.980694\pi\) |
0.446588 | − | 0.894740i | \(-0.352639\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 5.83630 | − | 10.1088i | 0.297445 | − | 0.515190i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 16.7576 | − | 7.64478i | 0.851839 | − | 0.388606i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −10.7396 | − | 6.20054i | −0.544522 | − | 0.314380i | 0.202388 | − | 0.979305i | \(-0.435130\pi\) |
−0.746909 | + | 0.664926i | \(0.768463\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.176100 | + | 0.101671i | −0.00890577 | + | 0.00514175i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0.107376 | − | 0.167007i | 0.00541642 | − | 0.00842438i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 7.11243 | 0.357865 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 1.97192 | 0.0989677 | 0.0494838 | − | 0.998775i | \(-0.484242\pi\) | ||||
0.0494838 | + | 0.998775i | \(0.484242\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 3.44870 | + | 0.164980i | 0.172651 | + | 0.00825932i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −21.6829 | + | 12.5186i | −1.08279 | + | 0.625150i | −0.931648 | − | 0.363362i | \(-0.881629\pi\) |
−0.151143 | + | 0.988512i | \(0.548295\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 29.5274 | + | 17.0477i | 1.47087 | + | 0.849205i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −6.79698 | − | 5.89924i | −0.337745 | − | 0.293136i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −6.01139 | + | 10.4120i | −0.297974 | + | 0.516105i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 14.2643 | + | 24.7064i | 0.705322 | + | 1.22165i | 0.966575 | + | 0.256384i | \(0.0825310\pi\) |
−0.261253 | + | 0.965270i | \(0.584136\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −1.23004 | + | 25.7125i | −0.0606736 | + | 1.26831i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | − | 0.698882i | − | 0.0343897i | ||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 14.9323i | 0.732998i | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −23.1296 | − | 14.8711i | −1.13266 | − | 0.728239i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 1.58528 | + | 2.74578i | 0.0774458 | + | 0.134140i | 0.902147 | − | 0.431428i | \(-0.141990\pi\) |
−0.824701 | + | 0.565568i | \(0.808657\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −5.28311 | + | 9.15062i | −0.257483 | + | 0.445974i | −0.965567 | − | 0.260155i | \(-0.916226\pi\) |
0.708084 | + | 0.706128i | \(0.249560\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −9.13409 | − | 20.0223i | −0.444115 | − | 0.973516i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 2.45597 | + | 1.41795i | 0.119132 | + | 0.0687809i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 24.7091 | − | 14.2658i | 1.19576 | − | 0.690370i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 11.0838 | + | 21.5102i | 0.535131 | + | 1.03852i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −18.4311 | −0.887796 | −0.443898 | − | 0.896077i | \(-0.646405\pi\) | ||||
−0.443898 | + | 0.896077i | \(0.646405\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −19.9114 | −0.956880 | −0.478440 | − | 0.878120i | \(-0.658798\pi\) | ||||
−0.478440 | + | 0.878120i | \(0.658798\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −1.90555 | − | 3.69809i | −0.0913642 | − | 0.177310i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −0.0451998 | + | 0.0260961i | −0.00216220 | + | 0.00124835i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −19.5238 | − | 11.2721i | −0.931819 | − | 0.537986i | −0.0444328 | − | 0.999012i | \(-0.514148\pi\) |
−0.887387 | + | 0.461026i | \(0.847481\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −1.49227 | − | 0.143103i | −0.0710606 | − | 0.00681442i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −8.68130 | + | 15.0365i | −0.412461 | + | 0.714404i | −0.995158 | − | 0.0982858i | \(-0.968664\pi\) |
0.582697 | + | 0.812689i | \(0.301997\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −6.61756 | − | 11.4620i | −0.313703 | − | 0.543349i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 30.9508 | + | 19.8997i | 1.46392 | + | 0.941224i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 39.0523i | 1.84299i | 0.388390 | + | 0.921495i | \(0.373031\pi\) | ||||
−0.388390 | + | 0.921495i | \(0.626969\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | − | 19.3615i | − | 0.911699i | ||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 1.07231 | − | 22.4153i | 0.0503814 | − | 1.05316i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 4.48812 | + | 7.77366i | 0.210406 | + | 0.364435i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −8.87760 | + | 15.3764i | −0.415276 | + | 0.719280i | −0.995457 | − | 0.0952077i | \(-0.969648\pi\) |
0.580181 | + | 0.814488i | \(0.302982\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 2.10596 | − | 14.5845i | 0.0982978 | − | 0.680748i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −20.0721 | − | 11.5886i | −0.934852 | − | 0.539737i | −0.0465093 | − | 0.998918i | \(-0.514810\pi\) |
−0.888343 | + | 0.459181i | \(0.848143\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 3.08534 | − | 1.78132i | 0.143388 | − | 0.0827850i | −0.426590 | − | 0.904445i | \(-0.640285\pi\) |
0.569978 | + | 0.821660i | \(0.306952\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −17.9965 | − | 0.860919i | −0.834566 | − | 0.0399242i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 29.7483 | 1.37659 | 0.688294 | − | 0.725432i | \(-0.258360\pi\) | ||||
0.688294 | + | 0.725432i | \(0.258360\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 16.1346 | 0.745026 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −7.98843 | + | 12.4247i | −0.368087 | + | 0.572501i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 22.6632 | − | 13.0846i | 1.04206 | − | 0.601631i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.630376 | + | 0.363948i | 0.0289236 | + | 0.0166991i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 20.8951 | + | 14.8921i | 0.956722 | + | 0.681861i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 8.36836 | − | 14.4944i | 0.382360 | − | 0.662267i | −0.609039 | − | 0.793140i | \(-0.708445\pi\) |
0.991399 | + | 0.130873i | \(0.0417781\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −4.62277 | − | 8.00688i | −0.210780 | − | 0.365082i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0.302333 | − | 0.155786i | 0.0137566 | − | 0.00708853i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 9.50535i | 0.431616i | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 8.75583i | 0.396765i | 0.980125 | + | 0.198382i | \(0.0635688\pi\) | ||||
−0.980125 | + | 0.198382i | \(0.936431\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 17.9939 | − | 9.27191i | 0.813713 | − | 0.419290i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −17.2099 | − | 29.8083i | −0.776670 | − | 1.34523i | −0.933851 | − | 0.357662i | \(-0.883574\pi\) |
0.157181 | − | 0.987570i | \(-0.449759\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 3.40574 | − | 5.89892i | 0.153387 | − | 0.265674i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −10.4129 | − | 7.42135i | −0.468026 | − | 0.333565i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −28.1485 | − | 16.2516i | −1.26263 | − | 0.728982i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 10.4214 | − | 6.01678i | 0.466524 | − | 0.269348i | −0.248259 | − | 0.968694i | \(-0.579859\pi\) |
0.714784 | + | 0.699346i | \(0.246525\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −2.49618 | + | 3.88241i | −0.111521 | + | 0.173453i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −1.04758 | −0.0467092 | −0.0233546 | − | 0.999727i | \(-0.507435\pi\) | ||||
−0.0233546 | + | 0.999727i | \(0.507435\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −10.1062 | −0.449721 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 3.90394 | + | 0.186758i | 0.173380 | + | 0.00829420i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 10.1932 | − | 5.88503i | 0.451805 | − | 0.260850i | −0.256787 | − | 0.966468i | \(-0.582664\pi\) |
0.708592 | + | 0.705618i | \(0.249331\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −26.2404 | − | 15.1499i | −1.16081 | − | 0.670193i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0.540539 | − | 3.74343i | 0.0238654 | − | 0.165277i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 6.18955 | − | 10.7206i | 0.272744 | − | 0.472406i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −15.6337 | − | 27.0783i | −0.687568 | − | 1.19090i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −1.15930 | + | 24.2336i | −0.0508874 | + | 1.06374i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 34.5556i | 1.51391i | 0.653469 | + | 0.756953i | \(0.273313\pi\) | ||||
−0.653469 | + | 0.756953i | \(0.726687\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 0.568961i | 0.0248789i | 0.999923 | + | 0.0124395i | \(0.00395971\pi\) | ||||
−0.999923 | + | 0.0124395i | \(0.996040\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −3.98982 | − | 2.56524i | −0.174130 | − | 0.111956i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −14.7498 | − | 25.5473i | −0.642510 | − | 1.11286i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 11.4974 | − | 19.9141i | 0.499888 | − | 0.865832i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −0.762106 | − | 0.0730829i | −0.0330726 | − | 0.00317153i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 12.8943 | + | 7.44453i | 0.558514 | + | 0.322458i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 10.1907 | − | 5.88362i | 0.440584 | − | 0.254371i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −3.50045 | − | 6.79330i | −0.151056 | − | 0.293153i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −2.12990 | −0.0917414 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −33.2571 | −1.42983 | −0.714917 | − | 0.699209i | \(-0.753536\pi\) | ||||
−0.714917 | + | 0.699209i | \(0.753536\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −11.4374 | − | 22.1965i | −0.490827 | − | 0.952545i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −15.1533 | + | 8.74874i | −0.649094 | + | 0.374755i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 23.2529 | + | 13.4251i | 0.994221 | + | 0.574014i | 0.906533 | − | 0.422134i | \(-0.138719\pi\) |
0.0876877 | + | 0.996148i | \(0.472052\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −12.9725 | − | 28.4362i | −0.553652 | − | 1.21363i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 0.874156 | − | 1.51408i | 0.0372403 | − | 0.0645021i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −9.73890 | − | 16.8683i | −0.414140 | − | 0.717312i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 4.10952 | + | 2.64220i | 0.174439 | + | 0.112155i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 7.11788i | 0.301594i | 0.988565 | + | 0.150797i | \(0.0481840\pi\) | ||||
−0.988565 | + | 0.150797i | \(0.951816\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 20.1242i | 0.851163i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 1.00041 | − | 20.9123i | 0.0422372 | − | 0.882917i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 8.15052 | + | 14.1171i | 0.343503 | + | 0.594965i | 0.985081 | − | 0.172093i | \(-0.0550530\pi\) |
−0.641577 | + | 0.767058i | \(0.721720\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0.332388 | − | 0.575714i | 0.0139837 | − | 0.0242205i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −4.68403 | + | 24.1979i | −0.196711 | + | 1.01621i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 3.58511 | + | 2.06987i | 0.150296 | + | 0.0867733i | 0.573262 | − | 0.819372i | \(-0.305678\pi\) |
−0.422966 | + | 0.906145i | \(0.639011\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −26.5373 | + | 15.3213i | −1.11055 | + | 0.641177i | −0.938972 | − | 0.343994i | \(-0.888220\pi\) |
−0.171579 | + | 0.985170i | \(0.554887\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 1.40346 | + | 0.0671390i | 0.0586303 | + | 0.00280477i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0.0717029 | 0.00299022 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 19.5268 | 0.812910 | 0.406455 | − | 0.913671i | \(-0.366765\pi\) | ||||
0.406455 | + | 0.913671i | \(0.366765\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −20.2756 | + | 31.5355i | −0.842625 | + | 1.31057i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 35.4144 | − | 20.4465i | 1.46924 | − | 0.848263i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 31.5713 | + | 18.2277i | 1.30755 | + | 0.754915i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 8.94622 | − | 4.08124i | 0.369881 | − | 0.168738i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 18.7207 | − | 32.4253i | 0.772687 | − | 1.33833i | −0.163398 | − | 0.986560i | \(-0.552246\pi\) |
0.936085 | − | 0.351773i | \(-0.114421\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −3.78584 | − | 6.55726i | −0.155993 | − | 0.270187i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 6.53594 | − | 3.36784i | 0.268853 | − | 0.138535i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 35.8725i | 1.47311i | 0.676379 | + | 0.736554i | \(0.263548\pi\) | ||||
−0.676379 | + | 0.736554i | \(0.736452\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | − | 7.76630i | − | 0.318387i | ||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 20.4631 | − | 10.5442i | 0.837499 | − | 0.431547i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −10.5157 | − | 18.2137i | −0.429660 | − | 0.744194i | 0.567183 | − | 0.823592i | \(-0.308033\pi\) |
−0.996843 | + | 0.0793985i | \(0.974700\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −7.61935 | + | 13.1971i | −0.310800 | + | 0.538321i | −0.978536 | − | 0.206077i | \(-0.933930\pi\) |
0.667736 | + | 0.744398i | \(0.267264\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 1.68721 | − | 17.5942i | 0.0687086 | − | 0.716491i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −6.20706 | − | 3.58365i | −0.252353 | − | 0.145696i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −14.0022 | + | 8.08418i | −0.568333 | + | 0.328127i | −0.756483 | − | 0.654013i | \(-0.773084\pi\) |
0.188151 | + | 0.982140i | \(0.439751\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −6.16138 | + | 9.58303i | −0.249672 | + | 0.388324i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 24.0447 | 0.972743 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 3.96866 | 0.160293 | 0.0801463 | − | 0.996783i | \(-0.474461\pi\) | ||||
0.0801463 | + | 0.996783i | \(0.474461\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −7.85885 | − | 0.375954i | −0.316899 | − | 0.0151599i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 23.4545 | − | 13.5415i | 0.944244 | − | 0.545160i | 0.0529559 | − | 0.998597i | \(-0.483136\pi\) |
0.891288 | + | 0.453437i | \(0.149802\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −12.5767 | − | 7.26114i | −0.505499 | − | 0.291850i | 0.225483 | − | 0.974247i | \(-0.427604\pi\) |
−0.730981 | + | 0.682397i | \(0.760937\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −0.138264 | − | 0.345975i | −0.00554835 | − | 0.0138835i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −18.1226 | + | 31.3892i | −0.726066 | + | 1.25758i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0.256776 | − | 5.36758i | 0.0102546 | − | 0.214360i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 7.99930i | 0.318953i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 38.2960i | 1.52454i | 0.647260 | + | 0.762270i | \(0.275915\pi\) | ||||
−0.647260 | + | 0.762270i | \(0.724085\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −29.7798 | − | 19.1468i | −1.18364 | − | 0.761017i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 2.65429 | + | 4.59736i | 0.105332 | + | 0.182441i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0.818949 | − | 1.41846i | 0.0324480 | − | 0.0562015i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −20.6653 | + | 28.9955i | −0.817505 | + | 1.14704i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −40.8259 | − | 23.5708i | −1.61253 | − | 0.930992i | −0.988782 | − | 0.149363i | \(-0.952278\pi\) |
−0.623743 | − | 0.781629i | \(-0.714389\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 7.57122 | − | 4.37125i | 0.298580 | − | 0.172385i | −0.343225 | − | 0.939253i | \(-0.611519\pi\) |
0.641805 | + | 0.766868i | \(0.278186\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −4.87098 | − | 9.45308i | −0.191795 | − | 0.372214i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −22.4033 | −0.880764 | −0.440382 | − | 0.897811i | \(-0.645157\pi\) | ||||
−0.440382 | + | 0.897811i | \(0.645157\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −1.08774 | −0.0426977 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 22.6004 | + | 43.8603i | 0.885778 | + | 1.71902i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −5.61373 | + | 3.24109i | −0.219682 | + | 0.126834i | −0.605803 | − | 0.795615i | \(-0.707148\pi\) |
0.386121 | + | 0.922448i | \(0.373815\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −0.0992736 | − | 0.0573156i | −0.00387894 | − | 0.00223951i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −19.2644 | + | 27.0300i | −0.751578 | + | 1.05454i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −12.8690 | + | 22.2897i | −0.501305 | + | 0.868285i | 0.498694 | + | 0.866778i | \(0.333813\pi\) |
−0.999999 | + | 0.00150700i | \(0.999520\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 7.70838 | + | 13.3513i | 0.299821 | + | 0.519305i | 0.976095 | − | 0.217345i | \(-0.0697397\pi\) |
−0.676274 | + | 0.736650i | \(0.736406\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 13.5424 | + | 8.70704i | 0.525943 | + | 0.338153i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | − | 1.99339i | − | 0.0773002i | ||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | − | 0.172221i | − | 0.00666843i | ||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −0.629495 | + | 13.1588i | −0.0243377 | + | 0.508750i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −22.2034 | − | 38.4574i | −0.857152 | − | 1.48463i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 3.51337 | − | 6.08534i | 0.135430 | − | 0.234572i | −0.790331 | − | 0.612680i | \(-0.790092\pi\) |
0.925762 | + | 0.378107i | \(0.123425\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −3.21452 | + | 4.08251i | −0.123727 | + | 0.157136i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 13.0115 | + | 7.51222i | 0.500074 | + | 0.288718i | 0.728744 | − | 0.684786i | \(-0.240104\pi\) |
−0.228670 | + | 0.973504i | \(0.573438\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 22.5435 | − | 13.0155i | 0.865139 | − | 0.499488i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 34.8085 | + | 1.66518i | 1.33386 | + | 0.0638097i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −30.7865 | −1.17801 | −0.589007 | − | 0.808128i | \(-0.700481\pi\) | ||||
−0.589007 | + | 0.808128i | \(0.700481\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 14.8621 | 0.567853 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −21.0915 | + | 32.8044i | −0.804689 | + | 1.25157i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −24.2784 | + | 14.0172i | −0.924934 | + | 0.534011i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −15.3173 | − | 8.84344i | −0.582697 | − | 0.336420i | 0.179508 | − | 0.983757i | \(-0.442550\pi\) |
−0.762204 | + | 0.647336i | \(0.775883\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −3.34273 | + | 34.8579i | −0.126980 | + | 1.32414i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −7.93791 | + | 13.7489i | −0.301102 | + | 0.521524i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −6.44105 | − | 11.1562i | −0.243972 | − | 0.422572i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −42.8858 | + | 22.0982i | −1.62209 | + | 0.835832i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 14.0858i | − | 0.532013i | −0.963971 | − | 0.266007i | \(-0.914296\pi\) | ||
0.963971 | − | 0.266007i | \(-0.0857043\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 2.05319i | 0.0774375i | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −11.2947 | + | 5.81992i | −0.425382 | + | 0.219191i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 13.8382 | + | 23.9685i | 0.520440 | + | 0.901429i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 22.6228 | − | 39.1838i | 0.849616 | − | 1.47158i | −0.0319355 | − | 0.999490i | \(-0.510167\pi\) |
0.881551 | − | 0.472088i | \(-0.156500\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −19.4127 | + | 8.85599i | −0.728031 | + | 0.332125i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −0.645937 | − | 0.372932i | −0.0241905 | − | 0.0139664i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 12.0990 | − | 6.98534i | 0.452476 | − | 0.261237i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −4.78012 | + | 7.43471i | −0.178517 | + | 0.277654i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 15.9218 | 0.593783 | 0.296891 | − | 0.954911i | \(-0.404050\pi\) | ||||
0.296891 | + | 0.954911i | \(0.404050\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −33.9009 | −1.26253 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −27.5464 | − | 1.31777i | −1.02446 | − | 0.0490085i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −2.08008 | + | 1.20094i | −0.0772523 | + | 0.0446016i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −39.2050 | − | 22.6350i | −1.45403 | − | 0.839487i | −0.455327 | − | 0.890324i | \(-0.650478\pi\) |
−0.998707 | + | 0.0508376i | \(0.983811\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 25.8971 | + | 7.63816i | 0.959151 | + | 0.282895i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 8.70579 | − | 15.0789i | 0.321995 | − | 0.557712i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −19.0004 | − | 32.9096i | −0.701795 | − | 1.21555i | −0.967836 | − | 0.251583i | \(-0.919049\pi\) |
0.266040 | − | 0.963962i | \(-0.414285\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −0.0413575 | + | 0.864527i | −0.00152549 | + | 0.0318886i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | − | 25.1120i | − | 0.925012i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 4.23897i | 0.155933i | 0.996956 | + | 0.0779664i | \(0.0248427\pi\) | ||||
−0.996956 | + | 0.0779664i | \(0.975157\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 3.47594 | + | 2.23485i | 0.127692 | + | 0.0820991i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −11.0702 | − | 19.1742i | −0.406127 | − | 0.703433i | 0.588325 | − | 0.808625i | \(-0.299788\pi\) |
−0.994452 | + | 0.105192i | \(0.966454\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 10.6221 | − | 18.3980i | 0.389164 | − | 0.674052i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −18.5928 | − | 40.7562i | −0.680277 | − | 1.49119i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −27.9079 | − | 16.1127i | −1.01973 | − | 0.588743i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −14.1963 | + | 8.19623i | −0.518030 | + | 0.299085i | −0.736128 | − | 0.676842i | \(-0.763348\pi\) |
0.218098 | + | 0.975927i | \(0.430015\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 16.2697 | + | 31.5745i | 0.592901 | + | 1.15064i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −12.9563 | −0.471526 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −38.7992 | −1.41018 | −0.705090 | − | 0.709118i | \(-0.749094\pi\) | ||||
−0.705090 | + | 0.709118i | \(0.749094\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −0.242467 | − | 0.470554i | −0.00880100 | − | 0.0170800i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −17.2372 | + | 9.95189i | −0.624847 | + | 0.360756i | −0.778754 | − | 0.627330i | \(-0.784148\pi\) |
0.153906 | + | 0.988085i | \(0.450815\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 41.4981 | + | 23.9589i | 1.50233 | + | 0.867372i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −8.46887 | − | 0.812131i | −0.306193 | − | 0.0293627i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 0.418239 | − | 0.724411i | 0.0151017 | − | 0.0261570i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 12.3910 | + | 21.4618i | 0.446830 | + | 0.773932i | 0.998178 | − | 0.0603432i | \(-0.0192195\pi\) |
−0.551348 | + | 0.834276i | \(0.685886\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 18.9971 | + | 12.2141i | 0.684164 | + | 0.439881i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 22.1378i | 0.796240i | 0.917333 | + | 0.398120i | \(0.130337\pi\) | ||||
−0.917333 | + | 0.398120i | \(0.869663\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 10.4021i | 0.373656i | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0.639325 | − | 13.3643i | 0.0229357 | − | 0.479442i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −1.65323 | − | 2.86348i | −0.0592332 | − | 0.102595i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −25.2940 | + | 43.8105i | −0.905091 | + | 1.56766i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 9.80565 | + | 7.72087i | 0.350425 | + | 0.275921i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 7.38561 | + | 4.26408i | 0.263604 | + | 0.152192i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 21.8042 | − | 12.5886i | 0.777235 | − | 0.448737i | −0.0582148 | − | 0.998304i | \(-0.518541\pi\) |
0.835449 | + | 0.549568i | \(0.185207\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −8.52929 | − | 0.408027i | −0.303651 | − | 0.0145261i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −1.82053 | −0.0647306 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 34.1489 | 1.21266 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 8.01167 | − | 12.4609i | 0.284145 | − | 0.441942i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −35.2552 | + | 20.3546i | −1.24880 | + | 0.720996i | −0.970871 | − | 0.239604i | \(-0.922982\pi\) |
−0.277932 | + | 0.960601i | \(0.589649\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −18.0164 | − | 10.4018i | −0.637376 | − | 0.367989i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 32.3337 | + | 23.0444i | 1.14246 | + | 0.814235i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −23.5794 | + | 40.8408i | −0.832101 | + | 1.44124i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.0981814 | − | 0.170055i | −0.00346044 | − | 0.00599365i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −27.0991 | + | 13.9636i | −0.953934 | + | 0.491543i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | − | 20.1066i | − | 0.706909i | −0.935452 | − | 0.353455i | \(-0.885007\pi\) | ||
0.935452 | − | 0.353455i | \(-0.114993\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 16.7556i | − | 0.588370i | −0.955749 | − | 0.294185i | \(-0.904952\pi\) | ||
0.955749 | − | 0.294185i | \(-0.0950481\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 15.2622 | − | 7.86430i | 0.535268 | − | 0.275813i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −5.84344 | − | 10.1211i | −0.204687 | − | 0.354528i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 2.23452 | − | 3.87031i | 0.0781761 | − | 0.135405i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −21.9292 | − | 15.6291i | −0.766268 | − | 0.546123i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −9.10725 | − | 5.25807i | −0.317845 | − | 0.183508i | 0.332587 | − | 0.943073i | \(-0.392079\pi\) |
−0.650432 | + | 0.759565i | \(0.725412\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 26.6937 | − | 15.4116i | 0.930483 | − | 0.537215i | 0.0435187 | − | 0.999053i | \(-0.486143\pi\) |
0.886964 | + | 0.461838i | \(0.152810\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −3.99256 | + | 6.20978i | −0.139003 | + | 0.216197i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −3.43690 | −0.119513 | −0.0597563 | − | 0.998213i | \(-0.519032\pi\) | ||||
−0.0597563 | + | 0.998213i | \(0.519032\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −47.5380 | −1.65106 | −0.825532 | − | 0.564355i | \(-0.809125\pi\) | ||||
−0.825532 | + | 0.564355i | \(0.809125\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −19.8108 | − | 0.947713i | −0.687228 | − | 0.0328758i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −1.22726 | + | 0.708560i | −0.0425221 | + | 0.0245502i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 2.30781 | + | 1.33242i | 0.0798652 | + | 0.0461102i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 50.1915 | − | 20.0584i | 1.73487 | − | 0.693319i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −20.5672 | + | 35.6234i | −0.710058 | + | 1.22986i | 0.254776 | + | 0.967000i | \(0.417998\pi\) |
−0.964835 | + | 0.262857i | \(0.915335\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −11.6155 | − | 20.1186i | −0.400535 | − | 0.693746i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 1.42349 | − | 29.7563i | 0.0490276 | − | 1.02486i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | − | 2.25652i | − | 0.0776266i | ||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 19.6281i | 0.674428i | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −30.9785 | − | 19.9175i | −1.06318 | − | 0.683568i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 0.101127 | + | 0.175157i | 0.00346659 | + | 0.00600430i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −15.9918 | + | 27.6986i | −0.547548 | + | 0.948381i | 0.450894 | + | 0.892578i | \(0.351105\pi\) |
−0.998442 | + | 0.0558032i | \(0.982228\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −2.17371 | − | 0.208451i | −0.0743395 | − | 0.00712886i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −25.1055 | − | 14.4947i | −0.857589 | − | 0.495129i | 0.00561546 | − | 0.999984i | \(-0.498213\pi\) |
−0.863204 | + | 0.504855i | \(0.831546\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −19.5773 | + | 11.3030i | −0.667969 | + | 0.385652i | −0.795307 | − | 0.606207i | \(-0.792690\pi\) |
0.127338 | + | 0.991859i | \(0.459357\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 9.86932 | + | 19.1533i | 0.336346 | + | 0.652743i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −33.1803 | −1.12947 | −0.564735 | − | 0.825272i | \(-0.691022\pi\) | ||||
−0.564735 | + | 0.825272i | \(0.691022\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 14.0073 | 0.476263 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 7.10663 | + | 13.7918i | 0.241354 | + | 0.468393i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −26.2539 | + | 15.1577i | −0.890602 | + | 0.514189i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 16.7240 | + | 9.65558i | 0.566670 | + | 0.327167i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −11.8355 | − | 25.9439i | −0.400571 | − | 0.878067i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −1.36928 | + | 2.37166i | −0.0462901 | + | 0.0801768i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −7.48370 | − | 12.9621i | −0.252707 | − | 0.437701i | 0.711564 | − | 0.702622i | \(-0.247987\pi\) |
−0.964270 | + | 0.264921i | \(0.914654\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 10.7845 | + | 6.93384i | 0.363751 | + | 0.233873i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 8.10012i | − | 0.272900i | −0.990647 | − | 0.136450i | \(-0.956431\pi\) | ||
0.990647 | − | 0.136450i | \(-0.0435693\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 4.85664i | − | 0.163439i | −0.996655 | − | 0.0817194i | \(-0.973959\pi\) | ||
0.996655 | − | 0.0817194i | \(-0.0260411\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −0.0211213 | + | 0.441516i | −0.000709986 | + | 0.0148414i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 5.19427 | + | 8.99675i | 0.174407 | + | 0.302081i | 0.939956 | − | 0.341296i | \(-0.110866\pi\) |
−0.765549 | + | 0.643377i | \(0.777533\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 7.26892 | − | 12.5901i | 0.243792 | − | 0.422260i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 37.6617 | + | 7.29025i | 1.26171 | + | 0.244233i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −4.62430 | − | 2.66984i | −0.154746 | − | 0.0893428i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −3.82106 | + | 2.20609i | −0.127724 | + | 0.0737415i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0.406606 | + | 0.0194513i | 0.0135762 | + | 0.000649461i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 24.9846 | 0.833283 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 24.2555 | 0.808066 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −15.7498 | + | 24.4962i | −0.524119 | + | 0.815183i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −12.4850 | + | 7.20822i | −0.415016 | + | 0.239609i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −6.46502 | − | 3.73258i | −0.214667 | − | 0.123938i | 0.388811 | − | 0.921317i | \(-0.372886\pi\) |
−0.603479 | + | 0.797379i | \(0.706219\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 27.5839 | − | 12.5837i | 0.914900 | − | 0.417374i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 12.4178 | − | 21.5082i | 0.411419 | − | 0.712598i | −0.583626 | − | 0.812022i | \(-0.698367\pi\) |
0.995045 | + | 0.0994240i | \(0.0317000\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −31.8231 | − | 55.1191i | −1.05319 | − | 1.82418i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −16.0410 | + | 8.26560i | −0.530299 | + | 0.273252i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 0.313924i | 0.0103667i | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | − | 33.8320i | − | 1.11601i | −0.829836 | − | 0.558007i | \(-0.811566\pi\) | ||
0.829836 | − | 0.558007i | \(-0.188434\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 43.6954 | − | 22.5154i | 1.43981 | − | 0.741907i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −19.4512 | − | 33.6904i | −0.640242 | − | 1.10893i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 1.41036 | − | 2.44281i | 0.0463723 | − | 0.0803193i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −3.54505 | + | 36.9677i | −0.116435 | + | 1.21418i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 29.6415 | + | 17.1135i | 0.972507 | + | 0.561477i | 0.900000 | − | 0.435891i | \(-0.143567\pi\) |
0.0725074 | + | 0.997368i | \(0.476900\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −0.315003 | + | 0.181867i | −0.0103238 | + | 0.00596045i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −30.8581 | + | 47.9948i | −1.01025 | + | 1.57128i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −12.0875 | −0.395304 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −33.6231 | −1.09842 | −0.549210 | − | 0.835684i | \(-0.685071\pi\) | ||||
−0.549210 | + | 0.835684i | \(0.685071\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 54.2705 | + | 2.59620i | 1.77105 | + | 0.0847239i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −37.1942 | + | 21.4741i | −1.21250 | + | 0.700035i | −0.963302 | − | 0.268418i | \(-0.913499\pi\) |
−0.249194 | + | 0.968454i | \(0.580166\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −0.282073 | − | 0.162855i | −0.00918557 | − | 0.00530329i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 14.0839 | + | 2.03367i | 0.458149 | + | 0.0661552i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −10.5617 | + | 18.2933i | −0.343208 | + | 0.594453i | −0.985026 | − | 0.172403i | \(-0.944847\pi\) |
0.641819 | + | 0.766856i | \(0.278180\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −18.1326 | − | 31.4067i | −0.588610 | − | 1.01950i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 1.44479 | − | 30.2016i | 0.0468507 | − | 0.979355i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | − | 23.8906i | − | 0.773893i | −0.922102 | − | 0.386947i | \(-0.873530\pi\) | ||
0.922102 | − | 0.386947i | \(-0.126470\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | − | 0.811213i | − | 0.0262502i | ||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 14.9151 | + | 9.58961i | 0.482137 | + | 0.309988i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −20.3504 | − | 35.2479i | −0.657149 | − | 1.13822i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 38.6023 | − | 66.8611i | 1.24523 | − | 2.15681i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −20.4886 | + | 28.7477i | −0.660237 | + | 0.926381i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 18.7456 | + | 10.8228i | 0.603441 | + | 0.348397i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 10.0405 | − | 5.79691i | 0.322882 | − | 0.186416i | −0.329794 | − | 0.944053i | \(-0.606979\pi\) |
0.652677 | + | 0.757637i | \(0.273646\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −1.63769 | − | 3.17825i | −0.0526102 | − | 0.102100i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 32.2992 | 1.03653 | 0.518266 | − | 0.855220i | \(-0.326578\pi\) | ||||
0.518266 | + | 0.855220i | \(0.326578\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 43.4769 | 1.39380 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −2.60042 | − | 5.04661i | −0.0832800 | − | 0.161621i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −1.59483 | + | 0.920773i | −0.0510230 | + | 0.0294581i | −0.525294 | − | 0.850920i | \(-0.676045\pi\) |
0.474272 | + | 0.880379i | \(0.342712\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 48.8544 | + | 28.2061i | 1.56139 | + | 0.901471i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 30.4659 | − | 42.7468i | 0.972700 | − | 1.36480i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −18.3261 | + | 31.7418i | −0.584512 | + | 1.01241i | 0.410424 | + | 0.911895i | \(0.365381\pi\) |
−0.994936 | + | 0.100510i | \(0.967953\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −2.12252 | − | 3.67631i | −0.0676290 | − | 0.117137i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 29.2684 | + | 18.8180i | 0.931624 | + | 0.598984i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | − | 0.440233i | − | 0.0139986i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | − | 2.56293i | − | 0.0814142i | −0.999171 | − | 0.0407071i | \(-0.987039\pi\) | ||
0.999171 | − | 0.0407071i | \(-0.0129611\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −1.70150 | + | 35.5678i | −0.0539955 | + | 1.12871i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −6.64530 | − | 11.5100i | −0.210670 | − | 0.364891i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 13.5676 | − | 23.4998i | 0.429691 | − | 0.744246i | −0.567155 | − | 0.823611i | \(-0.691956\pi\) |
0.996846 | + | 0.0793648i | \(0.0252892\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −14.5064 | − | 2.09468i | −0.458963 | − | 0.0662728i |
(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 | 1440.2.bw.b.191.16 | yes | 48 | |
3.2 | odd | 2 | 4320.2.bw.b.4031.5 | 48 | |||
4.3 | odd | 2 | 1440.2.bw.a.191.9 | ✓ | 48 | ||
9.4 | even | 3 | 4320.2.bw.a.1151.5 | 48 | |||
9.5 | odd | 6 | 1440.2.bw.a.671.9 | yes | 48 | ||
12.11 | even | 2 | 4320.2.bw.a.4031.5 | 48 | |||
36.23 | even | 6 | inner | 1440.2.bw.b.671.16 | yes | 48 | |
36.31 | odd | 6 | 4320.2.bw.b.1151.5 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1440.2.bw.a.191.9 | ✓ | 48 | 4.3 | odd | 2 | ||
1440.2.bw.a.671.9 | yes | 48 | 9.5 | odd | 6 | ||
1440.2.bw.b.191.16 | yes | 48 | 1.1 | even | 1 | trivial | |
1440.2.bw.b.671.16 | yes | 48 | 36.23 | even | 6 | inner | |
4320.2.bw.a.1151.5 | 48 | 9.4 | even | 3 | |||
4320.2.bw.a.4031.5 | 48 | 12.11 | even | 2 | |||
4320.2.bw.b.1151.5 | 48 | 36.31 | odd | 6 | |||
4320.2.bw.b.4031.5 | 48 | 3.2 | odd | 2 |