Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [384,2,Mod(49,384)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(384, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 5, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("384.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 384 = 2^{7} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 384.n (of order \(8\), degree \(4\), 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: | \(3.06625543762\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{8})\) |
Twist minimal: | no (minimal twist has level 96) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 145.4 | ||
Character | \(\chi\) | \(=\) | 384.145 |
Dual form | 384.2.n.a.241.4 |
$q$-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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(133\) | \(257\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{7}{8}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.382683 | + | 0.923880i | −0.220942 | + | 0.533402i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 3.68816 | − | 1.52768i | 1.64939 | − | 0.683201i | 0.652199 | − | 0.758048i | \(-0.273847\pi\) |
0.997195 | + | 0.0748462i | \(0.0238466\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.63704 | − | 1.63704i | 0.618743 | − | 0.618743i | −0.326466 | − | 0.945209i | \(-0.605858\pi\) |
0.945209 | + | 0.326466i | \(0.105858\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.707107 | − | 0.707107i | −0.235702 | − | 0.235702i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.20420 | − | 2.90719i | −0.363080 | − | 0.876552i | −0.994846 | − | 0.101393i | \(-0.967670\pi\) |
0.631767 | − | 0.775158i | \(-0.282330\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.30127 | − | 1.36743i | −0.915607 | − | 0.379257i | −0.125407 | − | 0.992105i | \(-0.540024\pi\) |
−0.790200 | + | 0.612849i | \(0.790024\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 3.99203i | 1.03074i | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 0.511560i | 0.124071i | 0.998074 | + | 0.0620357i | \(0.0197593\pi\) | ||||
−0.998074 | + | 0.0620357i | \(0.980241\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.254077 | + | 0.105242i | 0.0582894 | + | 0.0241442i | 0.411638 | − | 0.911348i | \(-0.364957\pi\) |
−0.353348 | + | 0.935492i | \(0.614957\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.885960 | + | 2.13890i | 0.193332 | + | 0.466746i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 3.17185 | + | 3.17185i | 0.661376 | + | 0.661376i | 0.955704 | − | 0.294329i | \(-0.0950960\pi\) |
−0.294329 | + | 0.955704i | \(0.595096\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 7.73315 | − | 7.73315i | 1.54663 | − | 1.54663i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0.923880 | − | 0.382683i | 0.177801 | − | 0.0736475i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −2.75087 | + | 6.64118i | −0.510823 | + | 1.23324i | 0.432582 | + | 0.901595i | \(0.357603\pi\) |
−0.943405 | + | 0.331642i | \(0.892397\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 5.82083 | 1.04545 | 0.522726 | − | 0.852501i | \(-0.324915\pi\) | ||||
0.522726 | + | 0.852501i | \(0.324915\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 3.14672 | 0.547774 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 3.53678 | − | 8.53855i | 0.597825 | − | 1.44328i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −5.53467 | + | 2.29253i | −0.909894 | + | 0.376890i | −0.788016 | − | 0.615655i | \(-0.788892\pi\) |
−0.121878 | + | 0.992545i | \(0.538892\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 2.52668 | − | 2.52668i | 0.404593 | − | 0.404593i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 3.94823 | + | 3.94823i | 0.616610 | + | 0.616610i | 0.944660 | − | 0.328050i | \(-0.106392\pi\) |
−0.328050 | + | 0.944660i | \(0.606392\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.30801 | − | 3.15781i | −0.199469 | − | 0.481561i | 0.792217 | − | 0.610239i | \(-0.208927\pi\) |
−0.991686 | + | 0.128678i | \(0.958927\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −3.68816 | − | 1.52768i | −0.549798 | − | 0.227734i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 9.41403i | 1.37318i | 0.727046 | + | 0.686589i | \(0.240893\pi\) | ||||
−0.727046 | + | 0.686589i | \(0.759107\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.64019i | 0.234313i | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.472620 | − | 0.195765i | −0.0661800 | − | 0.0274127i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 2.50482 | + | 6.04717i | 0.344063 | + | 0.830642i | 0.997296 | + | 0.0734852i | \(0.0234122\pi\) |
−0.653233 | + | 0.757157i | \(0.726588\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −8.88255 | − | 8.88255i | −1.19772 | − | 1.19772i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −0.194462 | + | 0.194462i | −0.0257572 | + | 0.0257572i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −13.3423 | + | 5.52657i | −1.73702 | + | 0.719498i | −0.738023 | + | 0.674775i | \(0.764241\pi\) |
−0.998999 | + | 0.0447232i | \(0.985759\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.35835 | − | 8.10777i | 0.429992 | − | 1.03809i | −0.549297 | − | 0.835627i | \(-0.685104\pi\) |
0.979289 | − | 0.202466i | \(-0.0648955\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −2.31513 | −0.291678 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −14.2646 | −1.76931 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.11643 | − | 2.69530i | 0.136394 | − | 0.329283i | −0.840894 | − | 0.541199i | \(-0.817970\pi\) |
0.977288 | + | 0.211916i | \(0.0679704\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −4.14422 | + | 1.71659i | −0.498905 | + | 0.206653i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −1.26611 | + | 1.26611i | −0.150259 | + | 0.150259i | −0.778234 | − | 0.627975i | \(-0.783884\pi\) |
0.627975 | + | 0.778234i | \(0.283884\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −7.51616 | − | 7.51616i | −0.879700 | − | 0.879700i | 0.113804 | − | 0.993503i | \(-0.463697\pi\) |
−0.993503 | + | 0.113804i | \(0.963697\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 4.18515 | + | 10.1038i | 0.483260 | + | 1.16669i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −6.73052 | − | 2.78787i | −0.767014 | − | 0.317707i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.709730i | 0.0798509i | 0.999203 | + | 0.0399254i | \(0.0127120\pi\) | ||||
−0.999203 | + | 0.0399254i | \(0.987288\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 1.00000i | 0.111111i | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 1.40823 | + | 0.583309i | 0.154574 | + | 0.0640265i | 0.458629 | − | 0.888628i | \(-0.348341\pi\) |
−0.304055 | + | 0.952654i | \(0.598341\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.781502 | + | 1.88671i | 0.0847658 | + | 0.204643i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −5.08294 | − | 5.08294i | −0.544949 | − | 0.544949i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −0.0856897 | + | 0.0856897i | −0.00908309 | + | 0.00908309i | −0.711634 | − | 0.702551i | \(-0.752044\pi\) |
0.702551 | + | 0.711634i | \(0.252044\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −7.64285 | + | 3.16577i | −0.801188 | + | 0.331863i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −2.22754 | + | 5.37775i | −0.230985 | + | 0.557646i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 1.09785 | 0.112638 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −0.677647 | −0.0688046 | −0.0344023 | − | 0.999408i | \(-0.510953\pi\) | ||||
−0.0344023 | + | 0.999408i | \(0.510953\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −1.20420 | + | 2.90719i | −0.121027 | + | 0.292184i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 10.0095 | − | 4.14605i | 0.995978 | − | 0.412548i | 0.175657 | − | 0.984451i | \(-0.443795\pi\) |
0.820321 | + | 0.571904i | \(0.193795\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −8.25191 | + | 8.25191i | −0.813085 | + | 0.813085i | −0.985095 | − | 0.172010i | \(-0.944974\pi\) |
0.172010 | + | 0.985095i | \(0.444974\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 6.53512 | + | 6.53512i | 0.637763 | + | 0.637763i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 0.162056 | + | 0.391238i | 0.0156665 | + | 0.0378224i | 0.931519 | − | 0.363692i | \(-0.118484\pi\) |
−0.915853 | + | 0.401514i | \(0.868484\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 5.41943 | + | 2.24480i | 0.519087 | + | 0.215013i | 0.626816 | − | 0.779167i | \(-0.284358\pi\) |
−0.107729 | + | 0.994180i | \(0.534358\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | − | 5.99068i | − | 0.568610i | ||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 3.60406i | 0.339041i | 0.985527 | + | 0.169521i | \(0.0542219\pi\) | ||||
−0.985527 | + | 0.169521i | \(0.945778\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 16.5438 | + | 6.85269i | 1.54272 | + | 0.639016i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 1.36743 | + | 3.30127i | 0.126419 | + | 0.305202i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0.837445 | + | 0.837445i | 0.0767684 | + | 0.0767684i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.776498 | − | 0.776498i | 0.0705908 | − | 0.0705908i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −5.15861 | + | 2.13677i | −0.465136 | + | 0.192666i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 9.06884 | − | 21.8941i | 0.811142 | − | 1.95827i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.146652 | 0.0130133 | 0.00650663 | − | 0.999979i | \(-0.497929\pi\) | ||||
0.00650663 | + | 0.999979i | \(0.497929\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 3.41799 | 0.300937 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −1.16280 | + | 2.80726i | −0.101595 | + | 0.245271i | −0.966501 | − | 0.256661i | \(-0.917377\pi\) |
0.864907 | + | 0.501933i | \(0.167377\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.588221 | − | 0.243649i | 0.0510053 | − | 0.0211271i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 2.82279 | − | 2.82279i | 0.242947 | − | 0.242947i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −11.6890 | − | 11.6890i | −0.998662 | − | 0.998662i | 0.00133685 | − | 0.999999i | \(-0.499574\pi\) |
−0.999999 | + | 0.00133685i | \(0.999574\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −7.96071 | − | 19.2188i | −0.675218 | − | 1.63012i | −0.772615 | − | 0.634875i | \(-0.781051\pi\) |
0.0973963 | − | 0.995246i | \(-0.468949\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −8.69743 | − | 3.60259i | −0.732456 | − | 0.303393i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 11.2441i | 0.940277i | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 28.6962i | 2.38309i | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −1.51534 | − | 0.627674i | −0.124983 | − | 0.0517697i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −0.110593 | − | 0.266995i | −0.00906011 | − | 0.0218730i | 0.919285 | − | 0.393593i | \(-0.128768\pi\) |
−0.928345 | + | 0.371720i | \(0.878768\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 4.70680 | + | 4.70680i | 0.383034 | + | 0.383034i | 0.872194 | − | 0.489160i | \(-0.162697\pi\) |
−0.489160 | + | 0.872194i | \(0.662697\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0.361727 | − | 0.361727i | 0.0292439 | − | 0.0292439i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 21.4681 | − | 8.89240i | 1.72436 | − | 0.714255i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −7.43264 | + | 17.9440i | −0.593189 | + | 1.43208i | 0.287218 | + | 0.957865i | \(0.407270\pi\) |
−0.880407 | + | 0.474220i | \(0.842730\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −6.54540 | −0.519084 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 10.3849 | 0.818444 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −5.94686 | + | 14.3570i | −0.465794 | + | 1.12453i | 0.500188 | + | 0.865917i | \(0.333264\pi\) |
−0.965982 | + | 0.258609i | \(0.916736\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 11.6056 | − | 4.80720i | 0.903496 | − | 0.374240i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 10.7086 | − | 10.7086i | 0.828655 | − | 0.828655i | −0.158676 | − | 0.987331i | \(-0.550723\pi\) |
0.987331 | + | 0.158676i | \(0.0507225\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −0.163883 | − | 0.163883i | −0.0126064 | − | 0.0126064i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −0.105242 | − | 0.254077i | −0.00804808 | − | 0.0194298i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 2.46513 | + | 1.02109i | 0.187420 | + | 0.0776320i | 0.474420 | − | 0.880299i | \(-0.342658\pi\) |
−0.287000 | + | 0.957931i | \(0.592658\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | − | 25.3190i | − | 1.91393i | ||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | − | 14.4416i | − | 1.08550i | ||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −9.77295 | − | 4.04809i | −0.730465 | − | 0.302568i | −0.0137219 | − | 0.999906i | \(-0.504368\pi\) |
−0.716743 | + | 0.697337i | \(0.754368\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −7.36413 | − | 17.7786i | −0.547371 | − | 1.32147i | −0.919427 | − | 0.393261i | \(-0.871347\pi\) |
0.372056 | − | 0.928210i | \(-0.378653\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 6.20542 | + | 6.20542i | 0.458718 | + | 0.458718i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −16.9105 | + | 16.9105i | −1.24328 | + | 1.24328i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.48720 | − | 0.616020i | 0.108755 | − | 0.0450478i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0.885960 | − | 2.13890i | 0.0644441 | − | 0.155582i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −10.1764 | −0.736335 | −0.368168 | − | 0.929759i | \(-0.620015\pi\) | ||||
−0.368168 | + | 0.929759i | \(0.620015\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −7.17480 | −0.516454 | −0.258227 | − | 0.966084i | \(-0.583138\pi\) | ||||
−0.258227 | + | 0.966084i | \(0.583138\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 5.45883 | − | 13.1788i | 0.390915 | − | 0.943751i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 9.81153 | − | 4.06407i | 0.699042 | − | 0.289553i | −0.00471943 | − | 0.999989i | \(-0.501502\pi\) |
0.703762 | + | 0.710436i | \(0.251502\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 7.92887 | − | 7.92887i | 0.562063 | − | 0.562063i | −0.367830 | − | 0.929893i | \(-0.619899\pi\) |
0.929893 | + | 0.367830i | \(0.119899\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 2.06289 | + | 2.06289i | 0.145505 | + | 0.145505i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 6.36861 | + | 15.3752i | 0.446989 | + | 1.07913i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 20.5933 | + | 8.53004i | 1.43830 | + | 0.595764i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | − | 4.48567i | − | 0.311775i | ||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | − | 0.865385i | − | 0.0598599i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 23.9700 | + | 9.92869i | 1.65016 | + | 0.683519i | 0.997264 | − | 0.0739270i | \(-0.0235532\pi\) |
0.652898 | + | 0.757446i | \(0.273553\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −0.685213 | − | 1.65425i | −0.0469500 | − | 0.113347i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −9.64827 | − | 9.64827i | −0.658007 | − | 0.658007i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 9.52894 | − | 9.52894i | 0.646867 | − | 0.646867i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 9.82033 | − | 4.06771i | 0.663597 | − | 0.274871i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0.699522 | − | 1.68880i | 0.0470550 | − | 0.113601i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 0.573216 | 0.0383854 | 0.0191927 | − | 0.999816i | \(-0.493890\pi\) | ||||
0.0191927 | + | 0.999816i | \(0.493890\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −10.9363 | −0.729089 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 1.44349 | − | 3.48488i | 0.0958075 | − | 0.231300i | −0.868709 | − | 0.495323i | \(-0.835050\pi\) |
0.964516 | + | 0.264023i | \(0.0850496\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −7.10429 | + | 2.94269i | −0.469465 | + | 0.194459i | −0.604858 | − | 0.796333i | \(-0.706770\pi\) |
0.135393 | + | 0.990792i | \(0.456770\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 5.15132 | − | 5.15132i | 0.338932 | − | 0.338932i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 1.38129 | + | 1.38129i | 0.0904912 | + | 0.0904912i | 0.750903 | − | 0.660412i | \(-0.229618\pi\) |
−0.660412 | + | 0.750903i | \(0.729618\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 14.3817 | + | 34.7204i | 0.938157 | + | 2.26491i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −0.655705 | − | 0.271602i | −0.0425926 | − | 0.0176424i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | − | 4.58455i | − | 0.296550i | −0.988946 | − | 0.148275i | \(-0.952628\pi\) | ||
0.988946 | − | 0.148275i | \(-0.0473721\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | − | 15.9551i | − | 1.02776i | −0.857862 | − | 0.513880i | \(-0.828208\pi\) | ||
0.857862 | − | 0.513880i | \(-0.171792\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −0.923880 | − | 0.382683i | −0.0592669 | − | 0.0245492i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 2.50570 | + | 6.04929i | 0.160083 | + | 0.386475i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.694866 | − | 0.694866i | −0.0442133 | − | 0.0442133i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −1.07781 | + | 1.07781i | −0.0683037 | + | 0.0683037i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 20.0790 | − | 8.31700i | 1.26738 | − | 0.524964i | 0.355211 | − | 0.934786i | \(-0.384409\pi\) |
0.912166 | + | 0.409822i | \(0.134409\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 5.40164 | − | 13.0407i | 0.339598 | − | 0.819862i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −2.04216 | −0.127885 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 0.677979 | 0.0422912 | 0.0211456 | − | 0.999776i | \(-0.493269\pi\) | ||||
0.0211456 | + | 0.999776i | \(0.493269\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −5.30750 | + | 12.8134i | −0.329792 | + | 0.796189i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 6.64118 | − | 2.75087i | 0.411079 | − | 0.170274i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −7.67357 | + | 7.67357i | −0.473173 | + | 0.473173i | −0.902940 | − | 0.429767i | \(-0.858596\pi\) |
0.429767 | + | 0.902940i | \(0.358596\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 18.4763 | + | 18.4763i | 1.13499 | + | 1.13499i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −0.0463749 | − | 0.111959i | −0.00283810 | − | 0.00685178i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 22.0482 | + | 9.13266i | 1.34430 | + | 0.556828i | 0.934701 | − | 0.355436i | \(-0.115668\pi\) |
0.409602 | + | 0.912264i | \(0.365668\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 0.778886i | 0.0473140i | 0.999720 | + | 0.0236570i | \(0.00753096\pi\) | ||||
−0.999720 | + | 0.0236570i | \(0.992469\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | − | 8.27256i | − | 0.500678i | ||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −31.7940 | − | 13.1695i | −1.91725 | − | 0.794151i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 1.47054 | + | 3.55020i | 0.0883564 | + | 0.213311i | 0.961881 | − | 0.273469i | \(-0.0881712\pi\) |
−0.873524 | + | 0.486780i | \(0.838171\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −4.11595 | − | 4.11595i | −0.246415 | − | 0.246415i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −3.60771 | + | 3.60771i | −0.215218 | + | 0.215218i | −0.806480 | − | 0.591262i | \(-0.798630\pi\) |
0.591262 | + | 0.806480i | \(0.298630\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −12.3134 | + | 5.10036i | −0.731953 | + | 0.303185i | −0.717354 | − | 0.696709i | \(-0.754647\pi\) |
−0.0145986 | + | 0.999893i | \(0.504647\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −0.420131 | + | 1.01429i | −0.0248864 | + | 0.0600811i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 12.9268 | 0.763047 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 16.7383 | 0.984606 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0.259324 | − | 0.626064i | 0.0152019 | − | 0.0367005i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −21.1509 | + | 8.76099i | −1.23565 | + | 0.511822i | −0.902352 | − | 0.431000i | \(-0.858161\pi\) |
−0.333297 | + | 0.942822i | \(0.608161\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −40.7657 | + | 40.7657i | −2.37347 | + | 2.37347i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −2.22507 | − | 2.22507i | −0.129112 | − | 0.129112i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −6.13384 | − | 14.8084i | −0.354729 | − | 0.856391i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −7.31072 | − | 3.02820i | −0.421383 | − | 0.174543i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 10.8342i | 0.622406i | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | − | 35.0332i | − | 2.00600i | ||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −29.7333 | − | 12.3159i | −1.69697 | − | 0.702908i | −0.697070 | − | 0.717003i | \(-0.745513\pi\) |
−0.999901 | + | 0.0140946i | \(0.995513\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −4.46590 | − | 10.7816i | −0.254056 | − | 0.613346i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 5.08789 | + | 5.08789i | 0.288508 | + | 0.288508i | 0.836490 | − | 0.547982i | \(-0.184604\pi\) |
−0.547982 | + | 0.836490i | \(0.684604\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −10.3695 | + | 10.3695i | −0.586117 | + | 0.586117i | −0.936578 | − | 0.350460i | \(-0.886025\pi\) |
0.350460 | + | 0.936578i | \(0.386025\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −8.53855 | + | 3.53678i | −0.481093 | + | 0.199275i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −6.18851 | + | 14.9404i | −0.347582 | + | 0.839136i | 0.649323 | + | 0.760513i | \(0.275052\pi\) |
−0.996904 | + | 0.0786232i | \(0.974948\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 22.6198 | 1.26647 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −0.423473 | −0.0236359 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −0.0538378 | + | 0.129976i | −0.00299561 | + | 0.00723205i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −36.1037 | + | 14.9547i | −2.00268 | + | 0.829535i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −4.14785 | + | 4.14785i | −0.229377 | + | 0.229377i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 15.4112 | + | 15.4112i | 0.849645 | + | 0.849645i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −12.0185 | − | 29.0153i | −0.660599 | − | 1.59483i | −0.796867 | − | 0.604155i | \(-0.793511\pi\) |
0.136268 | − | 0.990672i | \(-0.456489\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 5.53467 | + | 2.29253i | 0.303298 | + | 0.125630i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | − | 11.6462i | − | 0.636302i | ||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 2.12023i | 0.115496i | 0.998331 | + | 0.0577480i | \(0.0183920\pi\) | ||||
−0.998331 | + | 0.0577480i | \(0.981608\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −3.32971 | − | 1.37921i | −0.180845 | − | 0.0749085i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −7.00944 | − | 16.9223i | −0.379582 | − | 0.916393i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 14.1444 | + | 14.1444i | 0.763723 | + | 0.763723i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −12.6621 | + | 12.6621i | −0.681705 | + | 0.681705i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −15.6587 | + | 6.48607i | −0.840606 | + | 0.348190i | −0.761092 | − | 0.648644i | \(-0.775337\pi\) |
−0.0795133 | + | 0.996834i | \(0.525337\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −2.54342 | + | 6.14035i | −0.136146 | + | 0.328685i | −0.977218 | − | 0.212238i | \(-0.931925\pi\) |
0.841072 | + | 0.540923i | \(0.181925\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −3.57327 | −0.190727 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 26.7822 | 1.42547 | 0.712737 | − | 0.701431i | \(-0.247455\pi\) | ||||
0.712737 | + | 0.701431i | \(0.247455\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −2.73539 | + | 6.60382i | −0.145179 | + | 0.350494i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −1.09417 | + | 0.453222i | −0.0579098 | + | 0.0239870i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 21.9626 | − | 21.9626i | 1.15914 | − | 1.15914i | 0.174480 | − | 0.984661i | \(-0.444176\pi\) |
0.984661 | − | 0.174480i | \(-0.0558243\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −13.3815 | − | 13.3815i | −0.704292 | − | 0.704292i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0.420238 | + | 1.01454i | 0.0220568 | + | 0.0532498i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −39.2031 | − | 16.2385i | −2.05198 | − | 0.849959i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 20.1290i | 1.05073i | 0.850878 | + | 0.525363i | \(0.176071\pi\) | ||||
−0.850878 | + | 0.525363i | \(0.823929\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | − | 5.58364i | − | 0.290673i | ||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 13.9999 | + | 5.79897i | 0.726841 | + | 0.301067i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 0.278651 | + | 0.672724i | 0.0144280 | + | 0.0348323i | 0.930929 | − | 0.365199i | \(-0.118999\pi\) |
−0.916501 | + | 0.400032i | \(0.868999\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 16.7570 | + | 16.7570i | 0.865329 | + | 0.865329i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 18.1627 | − | 18.1627i | 0.935427 | − | 0.935427i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 33.2934 | − | 13.7906i | 1.71017 | − | 0.708375i | 0.710177 | − | 0.704023i | \(-0.248615\pi\) |
0.999991 | − | 0.00435195i | \(-0.00138527\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −0.0561213 | + | 0.135489i | −0.00287518 | + | 0.00694130i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −30.6643 | −1.56687 | −0.783435 | − | 0.621473i | \(-0.786534\pi\) | ||||
−0.783435 | + | 0.621473i | \(0.786534\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −29.0822 | −1.48217 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −1.30801 | + | 3.15781i | −0.0664897 | + | 0.160520i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −9.95840 | + | 4.12490i | −0.504911 | + | 0.209141i | −0.620575 | − | 0.784147i | \(-0.713101\pi\) |
0.115664 | + | 0.993288i | \(0.463101\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.62259 | + | 1.62259i | −0.0820579 | + | 0.0820579i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −2.14858 | − | 2.14858i | −0.108382 | − | 0.108382i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 1.08424 | + | 2.61760i | 0.0545542 | + | 0.131706i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 33.1225 | + | 13.7198i | 1.66237 | + | 0.688577i | 0.998255 | − | 0.0590504i | \(-0.0188073\pi\) |
0.664118 | + | 0.747628i | \(0.268807\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0.636686i | 0.0318742i | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | − | 1.21160i | − | 0.0605046i | −0.999542 | − | 0.0302523i | \(-0.990369\pi\) | ||
0.999542 | − | 0.0302523i | \(-0.00963107\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −19.2161 | − | 7.95958i | −0.957224 | − | 0.396495i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 1.52768 | + | 3.68816i | 0.0759113 | + | 0.183266i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 13.3297 | + | 13.3297i | 0.660728 | + | 0.660728i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −20.0380 | + | 20.0380i | −0.990817 | + | 0.990817i | −0.999958 | − | 0.00914144i | \(-0.997090\pi\) |
0.00914144 | + | 0.999958i | \(0.497090\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 15.2725 | − | 6.32606i | 0.753335 | − | 0.312042i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −12.7947 | + | 30.8892i | −0.629587 | + | 1.51996i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 6.08490 | 0.298696 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 20.8023 | 1.01869 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −1.34843 | + | 3.25539i | −0.0658749 | + | 0.159036i | −0.953389 | − | 0.301745i | \(-0.902431\pi\) |
0.887514 | + | 0.460781i | \(0.152431\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 10.4207 | − | 4.31639i | 0.507873 | − | 0.210368i | −0.114008 | − | 0.993480i | \(-0.536369\pi\) |
0.621881 | + | 0.783112i | \(0.286369\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 6.65673 | − | 6.65673i | 0.323661 | − | 0.323661i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 3.95597 | + | 3.95597i | 0.191893 | + | 0.191893i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −7.77500 | − | 18.7705i | −0.376258 | − | 0.908368i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −10.3882 | − | 4.30292i | −0.501546 | − | 0.207747i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | − | 35.6433i | − | 1.71688i | −0.512914 | − | 0.858440i | \(-0.671434\pi\) | ||
0.512914 | − | 0.858440i | \(-0.328566\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 9.75449i | 0.468771i | 0.972144 | + | 0.234385i | \(0.0753078\pi\) | ||||
−0.972144 | + | 0.234385i | \(0.924692\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −26.5118 | − | 10.9816i | −1.27114 | − | 0.526525i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 0.472082 | + | 1.13971i | 0.0225828 | + | 0.0545196i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 11.2645 | + | 11.2645i | 0.537625 | + | 0.537625i | 0.922831 | − | 0.385206i | \(-0.125870\pi\) |
−0.385206 | + | 0.922831i | \(0.625870\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 1.15979 | − | 1.15979i | 0.0552281 | − | 0.0552281i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −22.1985 | + | 9.19492i | −1.05468 | + | 0.436864i | −0.841561 | − | 0.540162i | \(-0.818363\pi\) |
−0.213122 | + | 0.977026i | \(0.568363\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −0.185130 | + | 0.446944i | −0.00877601 | + | 0.0211872i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0.288993 | 0.0136689 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −12.5831 | −0.593834 | −0.296917 | − | 0.954903i | \(-0.595958\pi\) | ||||
−0.296917 | + | 0.954903i | \(0.595958\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 6.72381 | − | 16.2327i | 0.316612 | − | 0.764369i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −6.14974 | + | 2.54730i | −0.288940 | + | 0.119683i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −23.3517 | + | 23.3517i | −1.09475 | + | 1.09475i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −28.8488 | − | 28.8488i | −1.34949 | − | 1.34949i | −0.886216 | − | 0.463273i | \(-0.846675\pi\) |
−0.463273 | − | 0.886216i | \(-0.653325\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0.195765 | + | 0.472620i | 0.00913755 | + | 0.0220600i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 11.8188 | + | 4.89549i | 0.550454 | + | 0.228006i | 0.640535 | − | 0.767929i | \(-0.278713\pi\) |
−0.0900809 | + | 0.995934i | \(0.528713\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 18.0311i | − | 0.837976i | −0.907992 | − | 0.418988i | \(-0.862385\pi\) | ||
0.907992 | − | 0.418988i | \(-0.137615\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 23.2370i | 1.07759i | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 22.2527 | + | 9.21739i | 1.02973 | + | 0.426530i | 0.832616 | − | 0.553850i | \(-0.186842\pi\) |
0.197118 | + | 0.980380i | \(0.436842\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −2.58467 | − | 6.23995i | −0.119349 | − | 0.288134i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −13.7337 | − | 13.7337i | −0.632817 | − | 0.632817i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −7.60526 | + | 7.60526i | −0.349690 | + | 0.349690i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 2.77867 | − | 1.15096i | 0.127494 | − | 0.0528099i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 2.50482 | − | 6.04717i | 0.114688 | − | 0.276881i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −11.2525 | −0.514141 | −0.257070 | − | 0.966393i | \(-0.582757\pi\) | ||||
−0.257070 | + | 0.966393i | \(0.582757\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 21.4063 | 0.976043 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −3.97412 | + | 9.59438i | −0.180829 | + | 0.436560i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −2.49927 | + | 1.03523i | −0.113486 | + | 0.0470074i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 23.1247 | − | 23.1247i | 1.04788 | − | 1.04788i | 0.0490867 | − | 0.998795i | \(-0.484369\pi\) |
0.998795 | − | 0.0490867i | \(-0.0156311\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −10.9884 | − | 10.9884i | −0.496911 | − | 0.496911i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 9.92916 | + | 23.9711i | 0.448097 | + | 1.08180i | 0.973034 | + | 0.230661i | \(0.0740888\pi\) |
−0.524937 | + | 0.851141i | \(0.675911\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −3.39736 | − | 1.40723i | −0.153010 | − | 0.0633786i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 12.5618i | 0.564612i | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 4.14534i | 0.185944i | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 0.662766 | + | 0.274527i | 0.0296695 | + | 0.0122895i | 0.397469 | − | 0.917616i | \(-0.369889\pi\) |
−0.367799 | + | 0.929905i | \(0.619889\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 5.79544 | + | 13.9914i | 0.258921 | + | 0.625091i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 5.46400 | + | 5.46400i | 0.243628 | + | 0.243628i | 0.818349 | − | 0.574721i | \(-0.194890\pi\) |
−0.574721 | + | 0.818349i | \(0.694890\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 30.5826 | − | 30.5826i | 1.36091 | − | 1.36091i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0.214123 | − | 0.0886927i | 0.00950954 | − | 0.00393898i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −3.15891 | + | 7.62628i | −0.140016 | + | 0.338029i | −0.978296 | − | 0.207211i | \(-0.933561\pi\) |
0.838280 | + | 0.545240i | \(0.183561\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −24.6085 | −1.08862 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0.275011 | 0.0121421 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −17.8280 | + | 43.0407i | −0.785597 | + | 1.89660i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 27.3684 | − | 11.3364i | 1.20366 | − | 0.498573i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −1.88673 | + | 1.88673i | −0.0828182 | + | 0.0828182i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 17.3737 | + | 17.3737i | 0.761157 | + | 0.761157i | 0.976531 | − | 0.215375i | \(-0.0690973\pi\) |
−0.215375 | + | 0.976531i | \(0.569097\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −6.26194 | − | 15.1177i | −0.273816 | − | 0.661049i | 0.725824 | − | 0.687880i | \(-0.241458\pi\) |
−0.999640 | + | 0.0268308i | \(0.991458\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 23.3917 | + | 9.68915i | 1.02090 | + | 0.422869i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 2.97770i | 0.129711i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | − | 2.87879i | − | 0.125165i | ||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 13.3423 | + | 5.52657i | 0.579008 | + | 0.239833i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −7.63524 | − | 18.4331i | −0.330719 | − | 0.798426i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 1.19538 | + | 1.19538i | 0.0516806 | + | 0.0516806i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 7.47990 | − | 7.47990i | 0.322781 | − | 0.322781i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 4.76835 | − | 1.97512i | 0.205388 | − | 0.0850743i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 10.7750 | − | 26.0132i | 0.463255 | − | 1.11840i | −0.503799 | − | 0.863821i | \(-0.668065\pi\) |
0.967053 | − | 0.254574i | \(-0.0819354\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 19.2434 | 0.825813 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 23.4171 | 1.00308 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 13.7101 | − | 33.0991i | 0.586201 | − | 1.41521i | −0.300908 | − | 0.953653i | \(-0.597290\pi\) |
0.887109 | − | 0.461561i | \(-0.152710\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −8.10777 | + | 3.35835i | −0.346031 | + | 0.143331i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −1.39787 | + | 1.39787i | −0.0595512 | + | 0.0595512i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 1.16186 | + | 1.16186i | 0.0494072 | + | 0.0494072i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −9.15187 | − | 22.0946i | −0.388475 | − | 0.937862i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −21.4363 | − | 8.87921i | −0.908286 | − | 0.376224i | −0.120886 | − | 0.992666i | \(-0.538573\pi\) |
−0.787400 | + | 0.616442i | \(0.788573\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 12.2134i | 0.516571i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 1.60974i | 0.0679632i | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 41.3211 | + | 17.1158i | 1.74148 | + | 0.721343i | 0.998655 | + | 0.0518544i | \(0.0165132\pi\) |
0.742822 | + | 0.669489i | \(0.233487\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 5.50586 | + | 13.2923i | 0.231633 | + | 0.559212i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 1.63704 | + | 1.63704i | 0.0687493 | + | 0.0687493i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 29.0924 | − | 29.0924i | 1.21962 | − | 1.21962i | 0.251848 | − | 0.967767i | \(-0.418962\pi\) |
0.967767 | − | 0.251848i | \(-0.0810384\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −0.414172 | + | 0.171556i | −0.0173326 | + | 0.00717938i | −0.391333 | − | 0.920249i | \(-0.627986\pi\) |
0.374000 | + | 0.927429i | \(0.377986\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 3.89432 | − | 9.40172i | 0.162688 | − | 0.392763i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 49.0567 | 2.04581 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 23.7041 | 0.986813 | 0.493406 | − | 0.869799i | \(-0.335752\pi\) | ||||
0.493406 | + | 0.869799i | \(0.335752\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 2.74568 | − | 6.62865i | 0.114107 | − | 0.275477i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 3.26024 | − | 1.35043i | 0.135257 | − | 0.0560255i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 14.5640 | − | 14.5640i | 0.603178 | − | 0.603178i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 10.0866 | + | 10.0866i | 0.417029 | + | 0.417029i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 6.09999 | + | 14.7267i | 0.251773 | + | 0.607835i | 0.998347 | − | 0.0574676i | \(-0.0183026\pi\) |
−0.746574 | + | 0.665302i | \(0.768303\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 1.47894 | + | 0.612598i | 0.0609388 | + | 0.0252417i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 10.6199i | 0.436845i | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 6.36035i | 0.261188i | 0.991436 | + | 0.130594i | \(0.0416885\pi\) | ||||
−0.991436 | + | 0.130594i | \(0.958312\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 4.36798 | + | 1.80928i | 0.179070 | + | 0.0741731i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 4.29107 | + | 10.3596i | 0.175622 | + | 0.423989i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 4.61895 | + | 4.61895i | 0.188725 | + | 0.188725i | 0.795145 | − | 0.606420i | \(-0.207395\pi\) |
−0.606420 | + | 0.795145i | \(0.707395\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −10.9077 | + | 10.9077i | −0.444936 | + | 0.444936i | −0.893667 | − | 0.448731i | \(-0.851876\pi\) |
0.448731 | + | 0.893667i | \(0.351876\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −2.69530 | + | 1.11643i | −0.109761 | + | 0.0454645i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 1.67760 | − | 4.05009i | 0.0682043 | − | 0.164660i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 0.957019 | 0.0388442 | 0.0194221 | − | 0.999811i | \(-0.493817\pi\) | ||||
0.0194221 | + | 0.999811i | \(0.493817\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −16.6420 | −0.674367 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 12.8730 | − | 31.0782i | 0.520787 | − | 1.25729i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −2.24424 | + | 0.929594i | −0.0906440 | + | 0.0375460i | −0.427545 | − | 0.903994i | \(-0.640621\pi\) |
0.336901 | + | 0.941540i | \(0.390621\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −15.7615 | + | 15.7615i | −0.635564 | + | 0.635564i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −22.5163 | − | 22.5163i | −0.906472 | − | 0.906472i | 0.0895138 | − | 0.995986i | \(-0.471469\pi\) |
−0.995986 | + | 0.0895138i | \(0.971469\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 3.44381 | + | 8.31410i | 0.138419 | + | 0.334172i | 0.977854 | − | 0.209287i | \(-0.0671143\pi\) |
−0.839436 | + | 0.543459i | \(0.817114\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 4.14422 | + | 1.71659i | 0.166302 | + | 0.0688844i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 0.280555i | 0.0112402i | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | − | 39.9216i | − | 1.59687i | ||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0.799511 | + | 0.331168i | 0.0319294 | + | 0.0132256i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −1.17277 | − | 2.83131i | −0.0467613 | − | 0.112892i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −28.2240 | − | 28.2240i | −1.12358 | − | 1.12358i | −0.991199 | − | 0.132379i | \(-0.957738\pi\) |
−0.132379 | − | 0.991199i | \(-0.542262\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −18.3458 | + | 18.3458i | −0.729181 | + | 0.729181i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 0.540876 | − | 0.224038i | 0.0214640 | − | 0.00889068i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 2.24285 | − | 5.41471i | 0.0888649 | − | 0.214539i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 1.79055 | 0.0708329 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −30.2846 | −1.19617 | −0.598084 | − | 0.801433i | \(-0.704071\pi\) | ||||
−0.598084 | + | 0.801433i | \(0.704071\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −0.944867 | + | 2.28111i | −0.0372619 | + | 0.0899582i | −0.941415 | − | 0.337251i | \(-0.890503\pi\) |
0.904153 | + | 0.427209i | \(0.140503\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 12.6061 | − | 5.22161i | 0.496364 | − | 0.205601i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −8.32184 | + | 8.32184i | −0.327165 | + | 0.327165i | −0.851508 | − | 0.524342i | \(-0.824311\pi\) |
0.524342 | + | 0.851508i | \(0.324311\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 32.1336 | + | 32.1336i | 1.26136 | + | 1.26136i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 5.15703 | + | 12.4502i | 0.202120 | + | 0.487960i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 19.1159 | + | 7.91806i | 0.748062 | + | 0.309858i | 0.723951 | − | 0.689852i | \(-0.242324\pi\) |
0.0241116 | + | 0.999709i | \(0.492324\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 12.1300i | 0.473959i | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 10.6295i | 0.414694i | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −29.0382 | − | 12.0280i | −1.13117 | − | 0.468546i | −0.262991 | − | 0.964798i | \(-0.584709\pi\) |
−0.868178 | + | 0.496253i | \(0.834709\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −6.92538 | − | 16.7193i | −0.269366 | − | 0.650307i | 0.730088 | − | 0.683353i | \(-0.239479\pi\) |
−0.999454 | + | 0.0330463i | \(0.989479\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 1.29255 | + | 1.29255i | 0.0501984 | + | 0.0501984i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 1.79723 | − | 1.79723i | 0.0696937 | − | 0.0696937i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −29.7901 | + | 12.3395i | −1.15348 | + | 0.477787i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −0.219360 | + | 0.529583i | −0.00848096 | + | 0.0204749i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −27.6150 | −1.06606 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −19.3968 | −0.747691 | −0.373846 | − | 0.927491i | \(-0.621961\pi\) | ||||
−0.373846 | + | 0.927491i | \(0.621961\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 4.18515 | − | 10.1038i | 0.161087 | − | 0.388897i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −1.10973 | + | 0.459664i | −0.0426503 | + | 0.0176663i | −0.403907 | − | 0.914800i | \(-0.632348\pi\) |
0.361256 | + | 0.932467i | \(0.382348\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −1.10934 | + | 1.10934i | −0.0425724 | + | 0.0425724i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 2.66721 | + | 2.66721i | 0.102208 | + | 0.102208i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 2.49553 | + | 6.02475i | 0.0954889 | + | 0.230531i | 0.964405 | − | 0.264428i | \(-0.0851832\pi\) |
−0.868916 | + | 0.494959i | \(0.835183\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −60.9682 | − | 25.2539i | −2.32948 | − | 0.964900i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | − | 7.68963i | − | 0.293378i | ||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | − | 23.3885i | − | 0.891030i | ||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 12.2382 | + | 5.06922i | 0.465563 | + | 0.192842i | 0.603118 | − | 0.797652i | \(-0.293925\pi\) |
−0.137556 | + | 0.990494i | \(0.543925\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 2.78787 | + | 6.73052i | 0.105902 | + | 0.255671i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −58.7207 | − | 58.7207i | −2.22740 | − | 2.22740i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −2.01976 | + | 2.01976i | −0.0765037 | + | 0.0765037i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −1.80474 | + | 0.747548i | −0.0682615 | + | 0.0282748i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 14.9505 | − | 36.0936i | 0.564671 | − | 1.36324i | −0.341322 | − | 0.939946i | \(-0.610875\pi\) |
0.905994 | − | 0.423291i | \(-0.139125\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −1.64751 | −0.0621369 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −37.5811 | −1.41539 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 9.59863 | − | 23.1731i | 0.360994 | − | 0.871516i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 31.0545 | − | 12.8632i | 1.16627 | − | 0.483087i | 0.286315 | − | 0.958136i | \(-0.407570\pi\) |
0.879959 | + | 0.475049i | \(0.157570\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0.501855 | − | 0.501855i | 0.0188210 | − | 0.0188210i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 18.4628 | + | 18.4628i | 0.691437 | + | 0.691437i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 17.1774 | + | 41.4699i | 0.642399 | + | 1.55089i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 4.23557 | + | 1.75443i | 0.158180 | + | 0.0655205i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | − | 12.6636i | − | 0.472274i | −0.971720 | − | 0.236137i | \(-0.924119\pi\) | ||
0.971720 | − | 0.236137i | \(-0.0758815\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 27.0174i | 1.00618i | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 14.7406 | + | 6.10576i | 0.548209 | + | 0.227076i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 30.0844 | + | 72.6302i | 1.11731 | + | 2.69742i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −33.0425 | − | 33.0425i | −1.22548 | − | 1.22548i | −0.965657 | − | 0.259821i | \(-0.916336\pi\) |
−0.259821 | − | 0.965657i | \(-0.583664\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0.707107 | − | 0.707107i | 0.0261891 | − | 0.0261891i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 1.61541 | − | 0.669124i | 0.0597480 | − | 0.0247484i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 1.87261 | − | 4.52088i | 0.0691664 | − | 0.166982i | −0.885516 | − | 0.464609i | \(-0.846195\pi\) |
0.954682 | + | 0.297626i | \(0.0961950\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −6.54770 | −0.241516 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −9.18015 | −0.338155 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −15.0628 | + | 36.3648i | −0.554093 | + | 1.33770i | 0.360287 | + | 0.932842i | \(0.382679\pi\) |
−0.914380 | + | 0.404857i | \(0.867321\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0.907887 | − | 0.376059i | 0.0333520 | − | 0.0138149i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 20.9250 | − | 20.9250i | 0.767664 | − | 0.767664i | −0.210031 | − | 0.977695i | \(-0.567356\pi\) |
0.977695 | + | 0.210031i | \(0.0673563\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.815767 | − | 0.815767i | −0.0298874 | − | 0.0298874i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −0.583309 | − | 1.40823i | −0.0213422 | − | 0.0515246i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0.905765 | + | 0.375180i | 0.0330959 | + | 0.0137088i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 2.47050i | 0.0901497i | 0.998984 | + | 0.0450749i | \(0.0143526\pi\) | ||||
−0.998984 | + | 0.0450749i | \(0.985647\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 21.7334i | 0.792008i | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 24.5499 | + | 10.1689i | 0.893464 | + | 0.370085i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 2.84324 | + | 6.86420i | 0.103339 | + | 0.249483i | 0.967089 | − | 0.254437i | \(-0.0818903\pi\) |
−0.863750 | + | 0.503921i | \(0.831890\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 9.98092 | + | 9.98092i | 0.362284 | + | 0.362284i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −29.8039 | + | 29.8039i | −1.08039 | + | 1.08039i | −0.0839198 | + | 0.996473i | \(0.526744\pi\) |
−0.996473 | + | 0.0839198i | \(0.973256\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 12.5467 | − | 5.19700i | 0.454220 | − | 0.188144i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0.781502 | − | 1.88671i | 0.0282553 | − | 0.0682143i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 51.6038 | 1.86330 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −50.3024 | −1.81395 | −0.906976 | − | 0.421182i | \(-0.861615\pi\) | ||||
−0.906976 | + | 0.421182i | \(0.861615\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −0.259451 | + | 0.626371i | −0.00934391 | + | 0.0225582i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −0.373623 | + | 0.154760i | −0.0134383 | + | 0.00556632i | −0.389392 | − | 0.921072i | \(-0.627315\pi\) |
0.375954 | + | 0.926638i | \(0.377315\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 45.0134 | − | 45.0134i | 1.61693 | − | 1.61693i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −9.80699 | − | 9.80699i | −0.351824 | − | 0.351824i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 0.587635 | + | 1.41868i | 0.0210542 | + | 0.0508294i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 5.20546 | + | 2.15617i | 0.186266 | + | 0.0771540i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 7.18837i | 0.256891i | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 77.5349i | 2.76734i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 13.9620 | + | 5.78325i | 0.497692 | + | 0.206151i | 0.617386 | − | 0.786660i | \(-0.288192\pi\) |
−0.119695 | + | 0.992811i | \(0.538192\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −4.15291 | − | 10.0260i | −0.147847 | − | 0.356935i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 5.89999 | + | 5.89999i | 0.209779 | + | 0.209779i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −22.1736 | + | 22.1736i | −0.787408 | + | 0.787408i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −24.1405 | + | 9.99932i | −0.856175 | + | 0.354639i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −1.14025 | + | 2.75280i | −0.0403896 | + | 0.0975092i | −0.942787 | − | 0.333396i | \(-0.891806\pi\) |
0.902397 | + | 0.430905i | \(0.141806\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −4.81584 | −0.170372 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0.121183 | 0.00428181 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −12.8000 | + | 30.9019i | −0.451701 | + | 1.09050i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 38.3011 | − | 15.8648i | 1.34994 | − | 0.559162i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −16.8750 | + | 16.8750i | −0.594027 | + | 0.594027i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −15.2034 | − | 15.2034i | −0.534524 | − | 0.534524i | 0.387392 | − | 0.921915i | \(-0.373376\pi\) |
−0.921915 | + | 0.387392i | \(0.873376\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 1.72375 | + | 4.16149i | 0.0605289 | + | 0.146130i | 0.951250 | − | 0.308420i | \(-0.0998002\pi\) |
−0.890721 | + | 0.454550i | \(0.849800\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −0.719597 | − | 0.298067i | −0.0252374 | − | 0.0104537i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 62.0357i | 2.17302i | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | − | 0.939986i | − | 0.0328859i | ||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 7.64285 | + | 3.16577i | 0.267063 | + | 0.110621i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −18.5191 | − | 44.7092i | −0.646323 | − | 1.56036i | −0.818007 | − | 0.575209i | \(-0.804921\pi\) |
0.171684 | − | 0.985152i | \(-0.445079\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 9.78250 | + | 9.78250i | 0.340996 | + | 0.340996i | 0.856742 | − | 0.515745i | \(-0.172485\pi\) |
−0.515745 | + | 0.856742i | \(0.672485\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 24.3341 | − | 24.3341i | 0.847204 | − | 0.847204i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −21.3770 | + | 8.85466i | −0.743352 | + | 0.307907i | −0.722026 | − | 0.691866i | \(-0.756789\pi\) |
−0.0213264 | + | 0.999773i | \(0.506789\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −4.53604 | + | 10.9510i | −0.157543 | + | 0.380343i | −0.982867 | − | 0.184317i | \(-0.940993\pi\) |
0.825324 | + | 0.564660i | \(0.190993\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −3.84271 | −0.133302 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −0.839056 | −0.0290716 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 23.1356 | − | 55.8543i | 0.800640 | − | 1.93292i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 5.37775 | − | 2.22754i | 0.185882 | − | 0.0769949i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −2.23832 | + | 2.23832i | −0.0772752 | + | 0.0772752i | −0.744688 | − | 0.667413i | \(-0.767402\pi\) |
0.667413 | + | 0.744688i | \(0.267402\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −16.0319 | − | 16.0319i | −0.552826 | − | 0.552826i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −1.95248 | − | 4.71370i | −0.0672469 | − | 0.162348i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −0.854786 | − | 0.354064i | −0.0294055 | − | 0.0121802i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | − | 2.54232i | − | 0.0873551i | ||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | − | 13.3279i | − | 0.457412i | ||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −24.8267 | − | 10.2835i | −0.851047 | − | 0.352515i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 8.29470 | + | 20.0252i | 0.284005 | + | 0.685649i | 0.999921 | − | 0.0125373i | \(-0.00399085\pi\) |
−0.715916 | + | 0.698186i | \(0.753991\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −0.776301 | − | 0.776301i | −0.0265489 | − | 0.0265489i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 20.9308 | − | 20.9308i | 0.714984 | − | 0.714984i | −0.252590 | − | 0.967574i | \(-0.581282\pi\) |
0.967574 | + | 0.252590i | \(0.0812823\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −4.72981 | + | 1.95915i | −0.161379 | + | 0.0668453i | −0.461911 | − | 0.886927i | \(-0.652836\pi\) |
0.300532 | + | 0.953772i | \(0.402836\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −4.94688 | + | 11.9428i | −0.168589 | + | 0.407011i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −52.6045 | −1.79068 | −0.895340 | − | 0.445384i | \(-0.853067\pi\) | ||||
−0.895340 | + | 0.445384i | \(0.853067\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 10.6517 | 0.362168 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −6.40547 | + | 15.4642i | −0.217541 | + | 0.525191i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 2.06332 | − | 0.854656i | 0.0699934 | − | 0.0289922i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −7.37126 | + | 7.37126i | −0.249766 | + | 0.249766i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0.479169 | + | 0.479169i | 0.0162174 | + | 0.0162174i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −20.9955 | − | 50.6876i | −0.709778 | − | 1.71355i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −41.7255 | − | 17.2833i | −1.40897 | − | 0.583614i | −0.456906 | − | 0.889515i | \(-0.651042\pi\) |
−0.952063 | + | 0.305901i | \(0.901042\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | − | 22.8936i | − | 0.772181i | ||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 51.6942i | 1.74162i | 0.491619 | + | 0.870811i | \(0.336405\pi\) | ||||
−0.491619 | + | 0.870811i | \(0.663595\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −28.5743 | − | 11.8358i | −0.961601 | − | 0.398308i | −0.154022 | − | 0.988067i | \(-0.549223\pi\) |
−0.807579 | + | 0.589760i | \(0.799223\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −22.0623 | − | 53.2630i | −0.741615 | − | 1.79042i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −10.8240 | − | 10.8240i | −0.363433 | − | 0.363433i | 0.501642 | − | 0.865075i | \(-0.332729\pi\) |
−0.865075 | + | 0.501642i | \(0.832729\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0.240075 | − | 0.240075i | 0.00805187 | − | 0.00805187i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 2.90719 | − | 1.20420i | 0.0973946 | − | 0.0403422i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −0.990755 | + | 2.39189i | −0.0331543 | + | 0.0800417i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −42.2284 | −1.41154 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 16.0285 | 0.535176 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −16.0123 | + | 38.6572i | −0.534042 | + | 1.28929i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −3.09349 | + | 1.28136i | −0.103059 | + | 0.0426884i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 5.59539 | − | 5.59539i | 0.186203 | − | 0.186203i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −54.3201 | − | 54.3201i | −1.80566 | − | 1.80566i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 12.4155 | + | 29.9736i | 0.412249 | + | 0.995257i | 0.984533 | + | 0.175201i | \(0.0560577\pi\) |
−0.572284 | + | 0.820056i | \(0.693942\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −10.0095 | − | 4.14605i | −0.331993 | − | 0.137516i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 27.7454i | 0.919247i | 0.888114 | + | 0.459623i | \(0.152016\pi\) | ||||
−0.888114 | + | 0.459623i | \(0.847984\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | − | 4.79643i | − | 0.158739i | ||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 32.3665 | + | 13.4066i | 1.07000 | + | 0.443210i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 2.69204 | + | 6.49915i | 0.0888989 | + | 0.214621i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 22.9579 | + | 22.9579i | 0.757311 | + | 0.757311i | 0.975832 | − | 0.218521i | \(-0.0701233\pi\) |
−0.218521 | + | 0.975832i | \(0.570123\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 22.7569 | − | 22.7569i | 0.749866 | − | 0.749866i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 5.91107 | − | 2.44845i | 0.194565 | − | 0.0805916i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −25.0719 | + | 60.5289i | −0.824359 | + | 1.99018i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 11.6700 | 0.383292 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −14.7767 | −0.484807 | −0.242404 | − | 0.970175i | \(-0.577936\pi\) | ||||
−0.242404 | + | 0.970175i | \(0.577936\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −0.172618 | + | 0.416736i | −0.00565731 | + | 0.0136580i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −6.64765 | + | 2.75355i | −0.217634 | + | 0.0901471i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 4.54396 | − | 4.54396i | 0.148603 | − | 0.148603i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 25.7038 | + | 25.7038i | 0.839707 | + | 0.839707i | 0.988820 | − | 0.149113i | \(-0.0476418\pi\) |
−0.149113 | + | 0.988820i | \(0.547642\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −5.61192 | − | 13.5484i | −0.183138 | − | 0.442134i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −4.00523 | − | 1.65902i | −0.130567 | − | 0.0540826i | 0.316443 | − | 0.948611i | \(-0.397511\pi\) |
−0.447010 | + | 0.894529i | \(0.647511\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 25.0464i | 0.815622i | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | − | 9.24206i | − | 0.300644i | ||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 15.2678 | + | 6.32413i | 0.496136 | + | 0.205506i | 0.616699 | − | 0.787199i | \(-0.288470\pi\) |
−0.120562 | + | 0.992706i | \(0.538470\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 14.5350 | + | 35.0907i | 0.471827 | + | 1.13909i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −11.4349 | − | 11.4349i | −0.370801 | − | 0.370801i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 19.6560 | − | 19.6560i | 0.636719 | − | 0.636719i | −0.313026 | − | 0.949745i | \(-0.601343\pi\) |
0.949745 | + | 0.313026i | \(0.101343\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −37.5320 | + | 15.5463i | −1.21451 | + | 0.503065i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −8.65622 | + | 20.8980i | −0.279816 | + | 0.675535i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −38.2709 | −1.23583 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 2.88209 | 0.0929707 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0.162056 | − | 0.391238i | 0.00522218 | − | 0.0126075i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −26.4618 | + | 10.9608i | −0.851836 | + | 0.352842i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −13.4891 | + | 13.4891i | −0.433781 | + | 0.433781i | −0.889912 | − | 0.456131i | \(-0.849235\pi\) |
0.456131 | + | 0.889912i | \(0.349235\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −0.0994792 | − | 0.0994792i | −0.00319573 | − | 0.00319573i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −16.3983 | − | 39.5889i | −0.526246 | − | 1.27047i | −0.933966 | − | 0.357362i | \(-0.883676\pi\) |
0.407720 | − | 0.913107i | \(-0.366324\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −44.4940 | − | 18.4300i | −1.42641 | − | 0.590840i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | − | 39.0784i | − | 1.25151i | ||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 15.7216i | 0.502979i | 0.967860 | + | 0.251489i | \(0.0809203\pi\) | ||||
−0.967860 | + | 0.251489i | \(0.919080\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 0.352304 | + | 0.145929i | 0.0112597 | + | 0.00466391i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −2.24480 | − | 5.41943i | −0.0716710 | − | 0.173029i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −10.9749 | − | 10.9749i | −0.350046 | − | 0.350046i | 0.510080 | − | 0.860127i | \(-0.329616\pi\) |
−0.860127 | + | 0.510080i | \(0.829616\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 29.9778 | − | 29.9778i | 0.955173 | − | 0.955173i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −20.1357 | + | 8.34046i | −0.640925 | + | 0.265480i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 5.86728 | − | 14.1649i | 0.186569 | − | 0.450417i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −32.2476 | −1.02438 | −0.512190 | − | 0.858872i | \(-0.671166\pi\) | ||||
−0.512190 | + | 0.858872i | \(0.671166\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 31.4060 | 0.996638 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 17.1301 | − | 41.3557i | 0.543061 | − | 1.31107i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 22.2570 | − | 9.21915i | 0.704886 | − | 0.291973i | −0.00130036 | − | 0.999999i | \(-0.500414\pi\) |
0.706187 | + | 0.708026i | \(0.250414\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −4.23605 | + | 4.23605i | −0.134023 | + | 0.134023i |
(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 | 384.2.n.a.145.4 | 32 | ||
3.2 | odd | 2 | 1152.2.v.c.145.1 | 32 | |||
4.3 | odd | 2 | 96.2.n.a.13.3 | ✓ | 32 | ||
8.3 | odd | 2 | 768.2.n.a.289.1 | 32 | |||
8.5 | even | 2 | 768.2.n.b.289.5 | 32 | |||
12.11 | even | 2 | 288.2.v.d.109.6 | 32 | |||
32.5 | even | 8 | inner | 384.2.n.a.241.4 | 32 | ||
32.11 | odd | 8 | 768.2.n.a.481.1 | 32 | |||
32.21 | even | 8 | 768.2.n.b.481.5 | 32 | |||
32.27 | odd | 8 | 96.2.n.a.37.3 | yes | 32 | ||
96.5 | odd | 8 | 1152.2.v.c.1009.1 | 32 | |||
96.59 | even | 8 | 288.2.v.d.37.6 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
96.2.n.a.13.3 | ✓ | 32 | 4.3 | odd | 2 | ||
96.2.n.a.37.3 | yes | 32 | 32.27 | odd | 8 | ||
288.2.v.d.37.6 | 32 | 96.59 | even | 8 | |||
288.2.v.d.109.6 | 32 | 12.11 | even | 2 | |||
384.2.n.a.145.4 | 32 | 1.1 | even | 1 | trivial | ||
384.2.n.a.241.4 | 32 | 32.5 | even | 8 | inner | ||
768.2.n.a.289.1 | 32 | 8.3 | odd | 2 | |||
768.2.n.a.481.1 | 32 | 32.11 | odd | 8 | |||
768.2.n.b.289.5 | 32 | 8.5 | even | 2 | |||
768.2.n.b.481.5 | 32 | 32.21 | even | 8 | |||
1152.2.v.c.145.1 | 32 | 3.2 | odd | 2 | |||
1152.2.v.c.1009.1 | 32 | 96.5 | odd | 8 |