Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [768,2,Mod(97,768)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(768, 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("768.97");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 768 = 2^{8} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 768.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: | \(6.13251087523\) |
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 | 97.8 | ||
Character | \(\chi\) | \(=\) | 768.97 |
Dual form | 768.2.n.b.673.8 |
$q$-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 \(\left(\mathbb{Z}/768\mathbb{Z}\right)^\times\).
\(n\) | \(257\) | \(511\) | \(517\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{5}{8}\right)\) |
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 | ||||||||
\(3\) | 0.923880 | − | 0.382683i | 0.533402 | − | 0.220942i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.35803 | − | 3.27858i | 0.607330 | − | 1.46623i | −0.258562 | − | 0.965995i | \(-0.583249\pi\) |
0.865892 | − | 0.500230i | \(-0.166751\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.48546 | − | 2.48546i | −0.939415 | − | 0.939415i | 0.0588516 | − | 0.998267i | \(-0.481256\pi\) |
−0.998267 | + | 0.0588516i | \(0.981256\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.707107 | − | 0.707107i | 0.235702 | − | 0.235702i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.420646 | + | 0.174237i | 0.126829 | + | 0.0525345i | 0.445196 | − | 0.895433i | \(-0.353134\pi\) |
−0.318366 | + | 0.947968i | \(0.603134\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.98881 | + | 4.80141i | 0.551596 | + | 1.33167i | 0.916280 | + | 0.400539i | \(0.131177\pi\) |
−0.364684 | + | 0.931131i | \(0.618823\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | − | 3.54871i | − | 0.916273i | ||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | − | 4.75470i | − | 1.15318i | −0.817032 | − | 0.576592i | \(-0.804382\pi\) | ||
0.817032 | − | 0.576592i | \(-0.195618\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.402518 | − | 0.971765i | −0.0923440 | − | 0.222938i | 0.870958 | − | 0.491357i | \(-0.163499\pi\) |
−0.963302 | + | 0.268419i | \(0.913499\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −3.24741 | − | 1.34512i | −0.708643 | − | 0.293529i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −0.739125 | + | 0.739125i | −0.154118 | + | 0.154118i | −0.779955 | − | 0.625836i | \(-0.784758\pi\) |
0.625836 | + | 0.779955i | \(0.284758\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −5.36930 | − | 5.36930i | −1.07386 | − | 1.07386i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0.382683 | − | 0.923880i | 0.0736475 | − | 0.177801i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 0.153117 | − | 0.0634229i | 0.0284330 | − | 0.0117773i | −0.368422 | − | 0.929659i | \(-0.620102\pi\) |
0.396855 | + | 0.917881i | \(0.370102\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −8.57458 | −1.54004 | −0.770020 | − | 0.638020i | \(-0.779754\pi\) | ||||
−0.770020 | + | 0.638020i | \(0.779754\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0.455304 | 0.0792582 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −11.5241 | + | 4.77344i | −1.94793 | + | 0.806859i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.67583 | − | 6.46002i | 0.439903 | − | 1.06202i | −0.536079 | − | 0.844168i | \(-0.680095\pi\) |
0.975982 | − | 0.217852i | \(-0.0699051\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 3.67484 | + | 3.67484i | 0.588445 | + | 0.588445i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −1.39247 | + | 1.39247i | −0.217467 | + | 0.217467i | −0.807430 | − | 0.589963i | \(-0.799142\pi\) |
0.589963 | + | 0.807430i | \(0.299142\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.84883 | + | 1.18002i | 0.434443 | + | 0.179952i | 0.589177 | − | 0.808004i | \(-0.299452\pi\) |
−0.154734 | + | 0.987956i | \(0.549452\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.35803 | − | 3.27858i | −0.202443 | − | 0.488742i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 0.715661i | 0.104390i | 0.998637 | + | 0.0521949i | \(0.0166217\pi\) | ||||
−0.998637 | + | 0.0521949i | \(0.983378\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 5.35501i | 0.765002i | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −1.81955 | − | 4.39277i | −0.254787 | − | 0.615111i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 10.4455 | + | 4.32668i | 1.43480 | + | 0.594316i | 0.958533 | − | 0.284982i | \(-0.0919877\pi\) |
0.476272 | + | 0.879298i | \(0.341988\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.14250 | − | 1.14250i | 0.154055 | − | 0.154055i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −0.743756 | − | 0.743756i | −0.0985130 | − | 0.0985130i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 2.09568 | − | 5.05941i | 0.272834 | − | 0.658679i | −0.726768 | − | 0.686883i | \(-0.758979\pi\) |
0.999602 | + | 0.0282033i | \(0.00897857\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.81202 | − | 1.16478i | 0.360042 | − | 0.149134i | −0.195327 | − | 0.980738i | \(-0.562577\pi\) |
0.555369 | + | 0.831604i | \(0.312577\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −3.51497 | −0.442845 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 18.4427 | 2.28753 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −5.39384 | + | 2.23420i | −0.658962 | + | 0.272951i | −0.687002 | − | 0.726656i | \(-0.741074\pi\) |
0.0280395 | + | 0.999607i | \(0.491074\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −0.400012 | + | 0.965714i | −0.0481558 | + | 0.116258i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 8.26068 | + | 8.26068i | 0.980363 | + | 0.980363i | 0.999811 | − | 0.0194483i | \(-0.00619097\pi\) |
−0.0194483 | + | 0.999811i | \(0.506191\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 4.37354 | − | 4.37354i | 0.511884 | − | 0.511884i | −0.403219 | − | 0.915103i | \(-0.632109\pi\) |
0.915103 | + | 0.403219i | \(0.132109\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −7.01532 | − | 2.90584i | −0.810060 | − | 0.335538i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −0.612439 | − | 1.47856i | −0.0697938 | − | 0.168497i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | − | 9.46948i | − | 1.06540i | −0.846304 | − | 0.532700i | \(-0.821177\pi\) | ||
0.846304 | − | 0.532700i | \(-0.178823\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | − | 1.00000i | − | 0.111111i | ||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 2.85195 | + | 6.88522i | 0.313042 | + | 0.755751i | 0.999589 | + | 0.0286653i | \(0.00912568\pi\) |
−0.686547 | + | 0.727086i | \(0.740874\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −15.5887 | − | 6.45704i | −1.69083 | − | 0.700364i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0.117190 | − | 0.117190i | 0.0125641 | − | 0.0125641i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 8.60493 | + | 8.60493i | 0.912120 | + | 0.912120i | 0.996439 | − | 0.0843186i | \(-0.0268713\pi\) |
−0.0843186 | + | 0.996439i | \(0.526871\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 6.99060 | − | 16.8768i | 0.732814 | − | 1.76917i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −7.92188 | + | 3.28135i | −0.821460 | + | 0.340260i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −3.73264 | −0.382961 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −10.2117 | −1.03684 | −0.518420 | − | 0.855126i | \(-0.673480\pi\) | ||||
−0.518420 | + | 0.855126i | \(0.673480\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0.420646 | − | 0.174237i | 0.0422765 | − | 0.0175115i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 1.92210 | − | 4.64035i | 0.191256 | − | 0.461732i | −0.798941 | − | 0.601409i | \(-0.794606\pi\) |
0.990197 | + | 0.139677i | \(0.0446063\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 2.99647 | + | 2.99647i | 0.295251 | + | 0.295251i | 0.839150 | − | 0.543900i | \(-0.183053\pi\) |
−0.543900 | + | 0.839150i | \(0.683053\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −8.82017 | + | 8.82017i | −0.860760 | + | 0.860760i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −0.420364 | − | 0.174120i | −0.0406381 | − | 0.0168328i | 0.362272 | − | 0.932072i | \(-0.382001\pi\) |
−0.402910 | + | 0.915240i | \(0.632001\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1.97979 | + | 4.77963i | 0.189629 | + | 0.457806i | 0.989888 | − | 0.141849i | \(-0.0453046\pi\) |
−0.800259 | + | 0.599655i | \(0.795305\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | − | 6.99227i | − | 0.663677i | ||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 6.63496i | 0.624164i | 0.950055 | + | 0.312082i | \(0.101026\pi\) | ||||
−0.950055 | + | 0.312082i | \(0.898974\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.41953 | + | 3.42704i | 0.132371 | + | 0.319573i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 4.80141 | + | 1.98881i | 0.443890 | + | 0.183865i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −11.8176 | + | 11.8176i | −1.08332 | + | 1.08332i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −7.63159 | − | 7.63159i | −0.693781 | − | 0.693781i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −0.753600 | + | 1.81935i | −0.0679498 | + | 0.164045i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −8.50244 | + | 3.52183i | −0.760481 | + | 0.315002i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 19.1639 | 1.70052 | 0.850262 | − | 0.526360i | \(-0.176443\pi\) | ||||
0.850262 | + | 0.526360i | \(0.176443\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 3.08355 | 0.271492 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 16.6367 | − | 6.89115i | 1.45356 | − | 0.602083i | 0.490514 | − | 0.871433i | \(-0.336809\pi\) |
0.963042 | + | 0.269350i | \(0.0868089\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.41484 | + | 3.41572i | −0.122682 | + | 0.296181i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −2.50932 | − | 2.50932i | −0.215968 | − | 0.215968i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −4.17579 | + | 4.17579i | −0.356762 | + | 0.356762i | −0.862618 | − | 0.505856i | \(-0.831177\pi\) |
0.505856 | + | 0.862618i | \(0.331177\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 17.1703 | + | 7.11217i | 1.45636 | + | 0.603246i | 0.963703 | − | 0.266975i | \(-0.0860242\pi\) |
0.492661 | + | 0.870221i | \(0.336024\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.273872 | + | 0.661185i | 0.0230642 | + | 0.0556818i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 2.36622i | 0.197873i | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | − | 0.588135i | − | 0.0488420i | ||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 2.04927 | + | 4.94739i | 0.169021 | + | 0.408054i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −7.65604 | − | 3.17123i | −0.627207 | − | 0.259798i | 0.0463589 | − | 0.998925i | \(-0.485238\pi\) |
−0.673566 | + | 0.739127i | \(0.735238\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 8.34642 | − | 8.34642i | 0.679222 | − | 0.679222i | −0.280602 | − | 0.959824i | \(-0.590534\pi\) |
0.959824 | + | 0.280602i | \(0.0905341\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −3.36208 | − | 3.36208i | −0.271808 | − | 0.271808i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −11.6445 | + | 28.1124i | −0.935313 | + | 2.25804i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −1.13210 | + | 0.468931i | −0.0903514 | + | 0.0374248i | −0.427401 | − | 0.904062i | \(-0.640571\pi\) |
0.337050 | + | 0.941487i | \(0.390571\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 11.3062 | 0.896637 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 3.67413 | 0.289562 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −12.5235 | + | 5.18742i | −0.980920 | + | 0.406310i | −0.814766 | − | 0.579790i | \(-0.803135\pi\) |
−0.166154 | + | 0.986100i | \(0.553135\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0.618317 | − | 1.49275i | 0.0481359 | − | 0.116210i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 6.60580 | + | 6.60580i | 0.511172 | + | 0.511172i | 0.914886 | − | 0.403713i | \(-0.132281\pi\) |
−0.403713 | + | 0.914886i | \(0.632281\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −9.90575 | + | 9.90575i | −0.761981 | + | 0.761981i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −0.971765 | − | 0.402518i | −0.0743127 | − | 0.0307813i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 7.14385 | + | 17.2468i | 0.543137 | + | 1.31125i | 0.922499 | + | 0.386000i | \(0.126144\pi\) |
−0.379361 | + | 0.925249i | \(0.623856\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 26.6903i | 2.01760i | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | − | 5.47627i | − | 0.411622i | ||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 3.80659 | + | 9.18993i | 0.284518 | + | 0.686887i | 0.999930 | − | 0.0118153i | \(-0.00376101\pi\) |
−0.715412 | + | 0.698703i | \(0.753761\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 5.55971 | + | 2.30291i | 0.413250 | + | 0.171174i | 0.579615 | − | 0.814890i | \(-0.303203\pi\) |
−0.166365 | + | 0.986064i | \(0.553203\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 2.15222 | − | 2.15222i | 0.159097 | − | 0.159097i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −17.5458 | − | 17.5458i | −1.28999 | − | 1.28999i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.828446 | − | 2.00005i | 0.0605820 | − | 0.146258i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −3.24741 | + | 1.34512i | −0.236214 | + | 0.0978431i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −5.75185 | −0.416190 | −0.208095 | − | 0.978109i | \(-0.566726\pi\) | ||||
−0.208095 | + | 0.978109i | \(0.566726\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −2.02898 | −0.146049 | −0.0730246 | − | 0.997330i | \(-0.523265\pi\) | ||||
−0.0730246 | + | 0.997330i | \(0.523265\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 17.0388 | − | 7.05770i | 1.22017 | − | 0.505412i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −3.54890 | + | 8.56781i | −0.252849 | + | 0.610431i | −0.998432 | − | 0.0559816i | \(-0.982171\pi\) |
0.745583 | + | 0.666413i | \(0.232171\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −12.7457 | − | 12.7457i | −0.903520 | − | 0.903520i | 0.0922191 | − | 0.995739i | \(-0.470604\pi\) |
−0.995739 | + | 0.0922191i | \(0.970604\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −4.12827 | + | 4.12827i | −0.291185 | + | 0.291185i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −0.538200 | − | 0.222930i | −0.0377742 | − | 0.0156466i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 2.67431 | + | 6.45635i | 0.186782 | + | 0.450931i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 1.04528i | 0.0726521i | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | − | 0.478902i | − | 0.0331264i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −8.49277 | − | 20.5034i | −0.584666 | − | 1.41151i | −0.888541 | − | 0.458798i | \(-0.848280\pi\) |
0.303874 | − | 0.952712i | \(-0.401720\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 10.7931 | + | 4.47065i | 0.739531 | + | 0.306324i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 7.73761 | − | 7.73761i | 0.527700 | − | 0.527700i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 21.3118 | + | 21.3118i | 1.44674 | + | 1.44674i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 2.36694 | − | 5.71430i | 0.159943 | − | 0.386137i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 22.8293 | − | 9.45619i | 1.53566 | − | 0.636092i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −1.93870 | −0.129825 | −0.0649123 | − | 0.997891i | \(-0.520677\pi\) | ||||
−0.0649123 | + | 0.997891i | \(0.520677\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −7.59333 | −0.506222 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 19.8529 | − | 8.22334i | 1.31768 | − | 0.545802i | 0.390566 | − | 0.920575i | \(-0.372279\pi\) |
0.927117 | + | 0.374773i | \(0.122279\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −9.21270 | + | 22.2414i | −0.608792 | + | 1.46975i | 0.255522 | + | 0.966803i | \(0.417753\pi\) |
−0.864315 | + | 0.502951i | \(0.832247\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −1.13164 | − | 1.13164i | −0.0744564 | − | 0.0744564i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 7.56463 | − | 7.56463i | 0.495575 | − | 0.495575i | −0.414482 | − | 0.910057i | \(-0.636037\pi\) |
0.910057 | + | 0.414482i | \(0.136037\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 2.34635 | + | 0.971890i | 0.153059 | + | 0.0633991i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −3.62381 | − | 8.74866i | −0.235392 | − | 0.568287i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | − | 21.0655i | − | 1.36261i | −0.731997 | − | 0.681307i | \(-0.761412\pi\) | ||
0.731997 | − | 0.681307i | \(-0.238588\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 24.1957i | 1.55858i | 0.626664 | + | 0.779289i | \(0.284420\pi\) | ||||
−0.626664 | + | 0.779289i | \(0.715580\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −0.382683 | − | 0.923880i | −0.0245492 | − | 0.0592669i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 17.5568 | + | 7.27228i | 1.12166 | + | 0.464609i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 3.86531 | − | 3.86531i | 0.245943 | − | 0.245943i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 5.26972 | + | 5.26972i | 0.333955 | + | 0.333955i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 0.0707278 | − | 0.170752i | 0.00446430 | − | 0.0107778i | −0.921632 | − | 0.388066i | \(-0.873143\pi\) |
0.926096 | + | 0.377288i | \(0.123143\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.439693 | + | 0.182127i | −0.0276433 | + | 0.0114502i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −16.8731 | −1.05663 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −29.7460 | −1.85550 | −0.927751 | − | 0.373199i | \(-0.878261\pi\) | ||||
−0.927751 | + | 0.373199i | \(0.878261\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −22.7068 | + | 9.40545i | −1.41093 | + | 0.584426i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0.0634229 | − | 0.153117i | 0.00392578 | − | 0.00947768i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −0.211270 | − | 0.211270i | −0.0130275 | − | 0.0130275i | 0.700563 | − | 0.713591i | \(-0.252932\pi\) |
−0.713591 | + | 0.700563i | \(0.752932\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 28.3707 | − | 28.3707i | 1.74280 | − | 1.74280i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 11.2429 | + | 4.65695i | 0.688053 | + | 0.285001i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −9.18492 | − | 22.1744i | −0.560014 | − | 1.35199i | −0.909754 | − | 0.415148i | \(-0.863730\pi\) |
0.349740 | − | 0.936847i | \(-0.386270\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 15.5563i | 0.944979i | 0.881336 | + | 0.472489i | \(0.156644\pi\) | ||||
−0.881336 | + | 0.472489i | \(0.843356\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | − | 18.2673i | − | 1.10559i | ||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −1.32304 | − | 3.19410i | −0.0797824 | − | 0.192612i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −24.1714 | − | 10.0121i | −1.45232 | − | 0.601570i | −0.489570 | − | 0.871964i | \(-0.662846\pi\) |
−0.962750 | + | 0.270394i | \(0.912846\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −6.06314 | + | 6.06314i | −0.362991 | + | 0.362991i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 18.5324 | + | 18.5324i | 1.10555 | + | 1.10555i | 0.993729 | + | 0.111820i | \(0.0356679\pi\) |
0.111820 | + | 0.993729i | \(0.464332\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −3.60189 | + | 8.69574i | −0.214110 | + | 0.516908i | −0.994047 | − | 0.108950i | \(-0.965251\pi\) |
0.779937 | + | 0.625858i | \(0.215251\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −3.44851 | + | 1.42842i | −0.204272 | + | 0.0846123i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 6.92186 | 0.408584 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −5.60720 | −0.329836 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −9.43437 | + | 3.90784i | −0.553052 | + | 0.229082i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −8.32183 | + | 20.0907i | −0.486167 | + | 1.17371i | 0.470467 | + | 0.882417i | \(0.344085\pi\) |
−0.956634 | + | 0.291293i | \(0.905915\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −13.7417 | − | 13.7417i | −0.800072 | − | 0.800072i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0.321948 | − | 0.321948i | 0.0186813 | − | 0.0186813i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −5.01882 | − | 2.07886i | −0.290246 | − | 0.120224i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −4.14775 | − | 10.0136i | −0.239072 | − | 0.577172i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | − | 5.02268i | − | 0.288545i | ||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | − | 10.8012i | − | 0.618476i | ||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 11.7750 | + | 28.4274i | 0.672036 | + | 1.62244i | 0.778146 | + | 0.628083i | \(0.216160\pi\) |
−0.106111 | + | 0.994354i | \(0.533840\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 3.91507 | + | 1.62168i | 0.222721 | + | 0.0922539i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 1.08506 | − | 1.08506i | 0.0615284 | − | 0.0615284i | −0.675673 | − | 0.737201i | \(-0.736147\pi\) |
0.737201 | + | 0.675673i | \(0.236147\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 3.44537 | + | 3.44537i | 0.194744 | + | 0.194744i | 0.797742 | − | 0.602998i | \(-0.206027\pi\) |
−0.602998 | + | 0.797742i | \(0.706027\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −4.77344 | + | 11.5241i | −0.268953 | + | 0.649310i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −1.87234 | + | 0.775548i | −0.105161 | + | 0.0435591i | −0.434644 | − | 0.900603i | \(-0.643126\pi\) |
0.329483 | + | 0.944162i | \(0.393126\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.0754585 | 0.00422486 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −0.454998 | −0.0253955 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −4.62045 | + | 1.91385i | −0.257089 | + | 0.106490i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 15.1017 | − | 36.4587i | 0.837690 | − | 2.02236i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 3.65817 | + | 3.65817i | 0.202297 | + | 0.202297i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 1.77875 | − | 1.77875i | 0.0980654 | − | 0.0980654i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −27.3713 | − | 11.3376i | −1.50446 | − | 0.623168i | −0.530055 | − | 0.847963i | \(-0.677829\pi\) |
−0.974406 | + | 0.224795i | \(0.927829\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −2.67583 | − | 6.46002i | −0.146634 | − | 0.354007i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 20.7182i | 1.13196i | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 8.28014i | 0.451048i | 0.974238 | + | 0.225524i | \(0.0724094\pi\) | ||||
−0.974238 | + | 0.225524i | \(0.927591\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 2.53909 | + | 6.12990i | 0.137904 | + | 0.332930i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −3.60686 | − | 1.49401i | −0.195322 | − | 0.0809052i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −4.08855 | + | 4.08855i | −0.220761 | + | 0.220761i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 2.62294 | + | 2.62294i | 0.141214 | + | 0.141214i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 7.72315 | − | 18.6453i | 0.414601 | − | 1.00093i | −0.569286 | − | 0.822140i | \(-0.692780\pi\) |
0.983886 | − | 0.178795i | \(-0.0572198\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 1.13179 | − | 0.468804i | 0.0605835 | − | 0.0250945i | −0.352186 | − | 0.935930i | \(-0.614562\pi\) |
0.412769 | + | 0.910836i | \(0.364562\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 5.19700 | 0.277396 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −11.9551 | −0.636306 | −0.318153 | − | 0.948039i | \(-0.603063\pi\) | ||||
−0.318153 | + | 0.948039i | \(0.603063\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 38.3016 | − | 15.8650i | 2.03284 | − | 0.842028i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −6.39565 | + | 15.4405i | −0.338494 | + | 0.817196i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −5.02082 | − | 5.02082i | −0.264989 | − | 0.264989i | 0.562088 | − | 0.827077i | \(-0.309998\pi\) |
−0.827077 | + | 0.562088i | \(0.809998\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 12.6527 | − | 12.6527i | 0.665933 | − | 0.665933i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −9.97115 | − | 4.13019i | −0.523350 | − | 0.216779i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −8.39959 | − | 20.2784i | −0.439655 | − | 1.06142i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 23.7760i | 1.24109i | 0.784169 | + | 0.620547i | \(0.213090\pi\) | ||||
−0.784169 | + | 0.620547i | \(0.786910\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 1.96925i | 0.102515i | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −15.2082 | − | 36.7157i | −0.789568 | − | 1.90619i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −3.85917 | − | 1.59852i | −0.199820 | − | 0.0827683i | 0.280529 | − | 0.959846i | \(-0.409490\pi\) |
−0.480349 | + | 0.877077i | \(0.659490\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −6.50749 | + | 6.50749i | −0.336045 | + | 0.336045i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 0.609039 | + | 0.609039i | 0.0313671 | + | 0.0313671i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −3.43755 | + | 8.29899i | −0.176575 | + | 0.426290i | −0.987244 | − | 0.159215i | \(-0.949104\pi\) |
0.810669 | + | 0.585505i | \(0.199104\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 17.7052 | − | 7.33372i | 0.907063 | − | 0.375718i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 9.61765 | 0.491439 | 0.245720 | − | 0.969341i | \(-0.420976\pi\) | ||||
0.245720 | + | 0.969341i | \(0.420976\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −5.67928 | −0.289443 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 2.84883 | − | 1.18002i | 0.144814 | − | 0.0599840i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 11.3406 | − | 27.3786i | 0.574991 | − | 1.38815i | −0.322269 | − | 0.946648i | \(-0.604445\pi\) |
0.897260 | − | 0.441503i | \(-0.145555\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 3.51432 | + | 3.51432i | 0.177727 | + | 0.177727i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 12.7332 | − | 12.7332i | 0.642305 | − | 0.642305i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −31.0465 | − | 12.8599i | −1.56212 | − | 0.647050i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −0.283457 | − | 0.684326i | −0.0142263 | − | 0.0343453i | 0.916607 | − | 0.399790i | \(-0.130917\pi\) |
−0.930833 | + | 0.365445i | \(0.880917\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 3.69715i | 0.185089i | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | − | 4.48635i | − | 0.224038i | −0.993706 | − | 0.112019i | \(-0.964268\pi\) | ||
0.993706 | − | 0.112019i | \(-0.0357317\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −17.0532 | − | 41.1700i | −0.849480 | − | 2.05083i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −3.27858 | − | 1.35803i | −0.162914 | − | 0.0674811i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 2.25115 | − | 2.25115i | 0.111585 | − | 0.111585i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −15.2251 | − | 15.2251i | −0.752833 | − | 0.752833i | 0.222174 | − | 0.975007i | \(-0.428685\pi\) |
−0.975007 | + | 0.222174i | \(0.928685\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −2.25992 | + | 5.45593i | −0.111474 | + | 0.269121i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −17.7837 | + | 7.36624i | −0.875078 | + | 0.362469i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 26.4468 | 1.29822 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 18.5850 | 0.910111 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −13.2128 | + | 5.47292i | −0.645487 | + | 0.267369i | −0.681317 | − | 0.731988i | \(-0.738592\pi\) |
0.0358301 | + | 0.999358i | \(0.488592\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −5.77775 | + | 13.9487i | −0.281590 | + | 0.679819i | −0.999873 | − | 0.0159320i | \(-0.994928\pi\) |
0.718283 | + | 0.695751i | \(0.244928\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0.506049 | + | 0.506049i | 0.0246049 | + | 0.0246049i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −25.5294 | + | 25.5294i | −1.23836 | + | 1.23836i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −9.88415 | − | 4.09415i | −0.478328 | − | 0.198130i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0.905512 | + | 2.18610i | 0.0437185 | + | 0.105546i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | − | 30.9700i | − | 1.49177i | −0.666073 | − | 0.745886i | \(-0.732026\pi\) | ||
0.666073 | − | 0.745886i | \(-0.267974\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 38.8143i | − | 1.86529i | −0.360790 | − | 0.932647i | \(-0.617493\pi\) | ||
0.360790 | − | 0.932647i | \(-0.382507\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −0.225070 | − | 0.543366i | −0.0107913 | − | 0.0260524i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 1.01577 | + | 0.420745i | 0.0485907 | + | 0.0201269i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 4.15330 | − | 4.15330i | 0.198226 | − | 0.198226i | −0.601013 | − | 0.799239i | \(-0.705236\pi\) |
0.799239 | + | 0.601013i | \(0.205236\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 3.78657 | + | 3.78657i | 0.180313 | + | 0.180313i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −2.26978 | + | 5.47973i | −0.107840 | + | 0.260350i | −0.968583 | − | 0.248691i | \(-0.920000\pi\) |
0.860742 | + | 0.509041i | \(0.170000\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 39.8977 | − | 16.5262i | 1.89133 | − | 0.783415i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −8.28683 | −0.391954 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 7.31556 | 0.345243 | 0.172621 | − | 0.984988i | \(-0.444776\pi\) | ||||
0.172621 | + | 0.984988i | \(0.444776\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −0.828358 | + | 0.343117i | −0.0390058 | + | 0.0161567i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 4.51705 | − | 10.9051i | 0.212230 | − | 0.512367i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −45.8385 | − | 45.8385i | −2.14894 | − | 2.14894i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 1.80714 | − | 1.80714i | 0.0845343 | − | 0.0845343i | −0.663575 | − | 0.748110i | \(-0.730962\pi\) |
0.748110 | + | 0.663575i | \(0.230962\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −4.39277 | − | 1.81955i | −0.205037 | − | 0.0849291i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −5.44672 | − | 13.1495i | −0.253679 | − | 0.612436i | 0.744816 | − | 0.667269i | \(-0.232537\pi\) |
−0.998495 | + | 0.0548340i | \(0.982537\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 28.6674i | − | 1.33229i | −0.745824 | − | 0.666143i | \(-0.767944\pi\) | ||
0.745824 | − | 0.666143i | \(-0.232056\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 30.4287i | 1.41110i | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −0.0184119 | − | 0.0444502i | −0.000852000 | − | 0.00205691i | 0.923453 | − | 0.383712i | \(-0.125354\pi\) |
−0.924305 | + | 0.381655i | \(0.875354\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 18.9592 | + | 7.85315i | 0.875454 | + | 0.362625i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −0.866471 | + | 0.866471i | −0.0399249 | + | 0.0399249i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 0.992745 | + | 0.992745i | 0.0456465 | + | 0.0456465i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −3.05645 | + | 7.37893i | −0.140240 | + | 0.338569i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 10.4455 | − | 4.32668i | 0.478268 | − | 0.198105i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −8.64155 | −0.394843 | −0.197421 | − | 0.980319i | \(-0.563257\pi\) | ||||
−0.197421 | + | 0.980319i | \(0.563257\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 36.3389 | 1.65691 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 3.39446 | − | 1.40603i | 0.154453 | − | 0.0639766i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −13.8678 | + | 33.4798i | −0.629704 | + | 1.52024i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −2.15820 | − | 2.15820i | −0.0977973 | − | 0.0977973i | 0.656515 | − | 0.754313i | \(-0.272030\pi\) |
−0.754313 | + | 0.656515i | \(0.772030\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −9.58511 | + | 9.58511i | −0.433454 | + | 0.433454i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 24.4583 | + | 10.1310i | 1.10379 | + | 0.457204i | 0.858794 | − | 0.512321i | \(-0.171214\pi\) |
0.244994 | + | 0.969525i | \(0.421214\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.301557 | − | 0.728024i | −0.0135815 | − | 0.0327885i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | − | 1.61574i | − | 0.0726221i | ||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | − | 41.0632i | − | 1.84193i | ||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 4.98970 | + | 12.0462i | 0.223370 | + | 0.539263i | 0.995343 | − | 0.0963921i | \(-0.0307303\pi\) |
−0.771974 | + | 0.635655i | \(0.780730\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 8.63089 | + | 3.57503i | 0.385600 | + | 0.159721i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 7.59295 | − | 7.59295i | 0.338553 | − | 0.338553i | −0.517270 | − | 0.855823i | \(-0.673052\pi\) |
0.855823 | + | 0.517270i | \(0.173052\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −12.6035 | − | 12.6035i | −0.560848 | − | 0.560848i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −5.36096 | + | 12.9425i | −0.238088 | + | 0.574796i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −12.9910 | + | 5.38103i | −0.575814 | + | 0.238510i | −0.651534 | − | 0.758619i | \(-0.725874\pi\) |
0.0757202 | + | 0.997129i | \(0.475874\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −21.7405 | −0.961743 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −1.05183 | −0.0464395 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 13.8934 | − | 5.75485i | 0.612218 | − | 0.253589i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.124695 | + | 0.301040i | −0.00548407 | + | 0.0132397i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 13.2001 | + | 13.2001i | 0.579421 | + | 0.579421i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 17.0333 | − | 17.0333i | 0.746242 | − | 0.746242i | −0.227529 | − | 0.973771i | \(-0.573065\pi\) |
0.973771 | + | 0.227529i | \(0.0730647\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 38.4247 | + | 15.9160i | 1.68020 | + | 0.695960i | 0.999335 | − | 0.0364542i | \(-0.0116063\pi\) |
0.680860 | + | 0.732414i | \(0.261606\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 10.2139 | + | 24.6586i | 0.445773 | + | 1.07619i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 40.7696i | 1.77595i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 21.9074i | 0.952495i | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −2.09568 | − | 5.05941i | −0.0909447 | − | 0.219560i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −9.45518 | − | 3.91646i | −0.409549 | − | 0.169641i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −1.14173 | + | 1.14173i | −0.0493615 | + | 0.0493615i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 7.03367 | + | 7.03367i | 0.303525 | + | 0.303525i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −0.933042 | + | 2.25256i | −0.0401890 | + | 0.0970248i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 8.78427 | − | 3.63857i | 0.377665 | − | 0.156434i | −0.185772 | − | 0.982593i | \(-0.559479\pi\) |
0.563437 | + | 0.826159i | \(0.309479\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 6.01779 | 0.258248 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 18.3590 | 0.786414 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 3.07217 | − | 1.27253i | 0.131357 | − | 0.0544097i | −0.316037 | − | 0.948747i | \(-0.602352\pi\) |
0.447393 | + | 0.894337i | \(0.352352\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 1.16478 | − | 2.81202i | 0.0497114 | − | 0.120014i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −0.123264 | − | 0.123264i | −0.00525124 | − | 0.00525124i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −23.5360 | + | 23.5360i | −1.00085 | + | 1.00085i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −22.9247 | − | 9.49573i | −0.973100 | − | 0.403071i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −0.215669 | − | 0.520670i | −0.00913817 | − | 0.0220615i | 0.919245 | − | 0.393687i | \(-0.128801\pi\) |
−0.928383 | + | 0.371625i | \(0.878801\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 16.0252i | 0.677795i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | − | 2.16483i | − | 0.0913994i | ||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 11.9538 | + | 28.8591i | 0.503793 | + | 1.21626i | 0.947403 | + | 0.320044i | \(0.103698\pi\) |
−0.443610 | + | 0.896220i | \(0.646302\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 21.7532 | + | 9.01048i | 0.915165 | + | 0.379074i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −2.48546 | + | 2.48546i | −0.104379 | + | 0.104379i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −22.2286 | − | 22.2286i | −0.931873 | − | 0.931873i | 0.0659498 | − | 0.997823i | \(-0.478992\pi\) |
−0.997823 | + | 0.0659498i | \(0.978992\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −2.84886 | + | 6.87776i | −0.119221 | + | 0.287825i | −0.972213 | − | 0.234099i | \(-0.924786\pi\) |
0.852991 | + | 0.521925i | \(0.174786\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −5.31402 | + | 2.20114i | −0.221996 | + | 0.0919539i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 7.93717 | 0.331003 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −31.1728 | −1.29774 | −0.648871 | − | 0.760899i | \(-0.724758\pi\) | ||||
−0.648871 | + | 0.760899i | \(0.724758\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −1.87453 | + | 0.776457i | −0.0779029 | + | 0.0322685i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 10.0245 | − | 24.2013i | 0.415887 | − | 1.00404i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 3.64000 | + | 3.64000i | 0.150754 | + | 0.150754i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 13.0409 | − | 13.0409i | 0.539176 | − | 0.539176i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −13.5567 | − | 5.61536i | −0.559544 | − | 0.231771i | 0.0849433 | − | 0.996386i | \(-0.472929\pi\) |
−0.644487 | + | 0.764615i | \(0.722929\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 3.45142 | + | 8.33247i | 0.142213 | + | 0.343334i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 9.27373i | 0.381470i | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 20.0872i | 0.824883i | 0.910984 | + | 0.412442i | \(0.135324\pi\) | ||||
−0.910984 | + | 0.412442i | \(0.864676\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 22.6963 | + | 54.7937i | 0.930457 | + | 2.24632i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −16.6531 | − | 6.89793i | −0.681565 | − | 0.282313i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −22.9392 | + | 22.9392i | −0.937271 | + | 0.937271i | −0.998145 | − | 0.0608749i | \(-0.980611\pi\) |
0.0608749 | + | 0.998145i | \(0.480611\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 19.0481 | + | 19.0481i | 0.776990 | + | 0.776990i | 0.979318 | − | 0.202328i | \(-0.0648507\pi\) |
−0.202328 | + | 0.979318i | \(0.564851\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −2.23420 | + | 5.39384i | −0.0909837 | + | 0.219654i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −35.3847 | + | 14.6568i | −1.43859 | + | 0.595885i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −39.8682 | −1.61820 | −0.809100 | − | 0.587672i | \(-0.800045\pi\) | ||||
−0.809100 | + | 0.587672i | \(0.800045\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −0.582543 | −0.0236059 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −3.43618 | + | 1.42331i | −0.139013 | + | 0.0575810i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −7.28252 | + | 17.5816i | −0.294138 | + | 0.710113i | 0.705860 | + | 0.708351i | \(0.250561\pi\) |
−0.999998 | + | 0.00176143i | \(0.999439\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 4.94147 | + | 4.94147i | 0.199259 | + | 0.199259i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −17.7361 | + | 17.7361i | −0.714027 | + | 0.714027i | −0.967375 | − | 0.253348i | \(-0.918468\pi\) |
0.253348 | + | 0.967375i | \(0.418468\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 7.84831 | + | 3.25088i | 0.315450 | + | 0.130664i | 0.534790 | − | 0.844985i | \(-0.320391\pi\) |
−0.219340 | + | 0.975648i | \(0.570391\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0.400012 | + | 0.965714i | 0.0160519 | + | 0.0387528i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | − | 42.7744i | − | 1.71372i | ||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | − | 5.30798i | − | 0.212319i | ||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −0.183268 | − | 0.442448i | −0.00731902 | − | 0.0176697i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −30.7155 | − | 12.7228i | −1.22471 | − | 0.507290i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −29.7910 | + | 29.7910i | −1.18596 | + | 1.18596i | −0.207785 | + | 0.978174i | \(0.566626\pi\) |
−0.978174 | + | 0.207785i | \(0.933374\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −15.6926 | − | 15.6926i | −0.623725 | − | 0.623725i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 26.0252 | − | 62.8305i | 1.03278 | − | 2.49335i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −25.7116 | + | 10.6501i | −1.01873 | + | 0.421972i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 11.6824 | 0.462147 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −25.6481 | −1.01304 | −0.506520 | − | 0.862228i | \(-0.669068\pi\) | ||||
−0.506520 | + | 0.862228i | \(0.669068\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −24.6616 | + | 10.2152i | −0.972559 | + | 0.402847i | −0.811664 | − | 0.584125i | \(-0.801438\pi\) |
−0.160895 | + | 0.986972i | \(0.551438\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 4.18756 | − | 10.1097i | 0.164885 | − | 0.398068i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 33.8051 | + | 33.8051i | 1.32902 | + | 1.32902i | 0.906230 | + | 0.422786i | \(0.138948\pi\) |
0.422786 | + | 0.906230i | \(0.361052\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 1.76308 | − | 1.76308i | 0.0692068 | − | 0.0692068i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 27.8452 | + | 11.5338i | 1.09134 | + | 0.452047i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 12.1078 | + | 29.2307i | 0.473813 | + | 1.14389i | 0.962465 | + | 0.271407i | \(0.0874889\pi\) |
−0.488652 | + | 0.872479i | \(0.662511\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | − | 63.9032i | − | 2.49690i | ||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | − | 6.18512i | − | 0.241304i | ||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −0.896470 | − | 2.16427i | −0.0349215 | − | 0.0843080i | 0.905457 | − | 0.424439i | \(-0.139529\pi\) |
−0.940378 | + | 0.340131i | \(0.889529\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 24.9607 | + | 10.3391i | 0.970859 | + | 0.402143i | 0.811032 | − | 0.585002i | \(-0.198906\pi\) |
0.159827 | + | 0.987145i | \(0.448906\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 17.4728 | − | 17.4728i | 0.678586 | − | 0.678586i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 9.27732 | + | 9.27732i | 0.359759 | + | 0.359759i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −0.0662948 | + | 0.160050i | −0.00256695 | + | 0.00619715i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −1.79112 | + | 0.741907i | −0.0692487 | + | 0.0286838i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 1.38581 | 0.0534986 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −29.0320 | −1.11910 | −0.559550 | − | 0.828797i | \(-0.689026\pi\) | ||||
−0.559550 | + | 0.828797i | \(0.689026\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −7.01532 | + | 2.90584i | −0.270020 | + | 0.111846i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −4.97128 | + | 12.0017i | −0.191062 | + | 0.461264i | −0.990161 | − | 0.139936i | \(-0.955310\pi\) |
0.799099 | + | 0.601200i | \(0.205310\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 25.3807 | + | 25.3807i | 0.974023 | + | 0.974023i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 15.1947 | − | 15.1947i | 0.582264 | − | 0.582264i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 31.6243 | + | 13.0992i | 1.21007 | + | 0.501227i | 0.894239 | − | 0.447589i | \(-0.147717\pi\) |
0.315830 | + | 0.948816i | \(0.397717\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 8.01980 | + | 19.3615i | 0.306421 | + | 0.739765i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 24.0739i | 0.918478i | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 58.7582i | 2.23851i | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −4.38682 | − | 10.5907i | −0.166883 | − | 0.402890i | 0.818209 | − | 0.574921i | \(-0.194967\pi\) |
−0.985092 | + | 0.172031i | \(0.944967\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −1.47856 | − | 0.612439i | −0.0561658 | − | 0.0232646i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 46.6356 | − | 46.6356i | 1.76899 | − | 1.76899i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 6.62079 | + | 6.62079i | 0.250780 | + | 0.250780i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 4.09395 | − | 9.88366i | 0.154847 | − | 0.373834i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −1.31276 | + | 0.543761i | −0.0495821 | + | 0.0205376i | −0.407337 | − | 0.913278i | \(-0.633542\pi\) |
0.357755 | + | 0.933816i | \(0.383542\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −7.35469 | −0.277387 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 2.53967 | 0.0956496 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −16.3107 | + | 6.75611i | −0.613427 | + | 0.254090i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −2.19698 | + | 5.30398i | −0.0825094 | + | 0.199195i | −0.959750 | − | 0.280856i | \(-0.909382\pi\) |
0.877241 | + | 0.480051i | \(0.159382\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −6.69594 | − | 6.69594i | −0.251117 | − | 0.251117i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 6.33769 | − | 6.33769i | 0.237348 | − | 0.237348i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 7.75782 | + | 3.21340i | 0.290126 | + | 0.120174i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −8.06142 | − | 19.4620i | −0.301059 | − | 0.726822i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | − | 7.05462i | − | 0.263093i | −0.991310 | − | 0.131547i | \(-0.958006\pi\) | ||
0.991310 | − | 0.131547i | \(-0.0419943\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | − | 14.8952i | − | 0.554726i | ||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 9.25928 | + | 22.3539i | 0.344356 | + | 0.831349i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −1.16266 | − | 0.481591i | −0.0431803 | − | 0.0178859i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −6.68778 | + | 6.68778i | −0.248036 | + | 0.248036i | −0.820164 | − | 0.572128i | \(-0.806118\pi\) |
0.572128 | + | 0.820164i | \(0.306118\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −0.707107 | − | 0.707107i | −0.0261891 | − | 0.0261891i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 5.61067 | − | 13.5453i | 0.207518 | − | 0.500993i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 1.39035 | − | 0.575901i | 0.0513537 | − | 0.0212714i | −0.356859 | − | 0.934158i | \(-0.616152\pi\) |
0.408212 | + | 0.912887i | \(0.366152\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 19.0034 | 0.700950 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −2.65818 | −0.0979152 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −4.78590 | + | 1.98239i | −0.176052 | + | 0.0729233i | −0.468969 | − | 0.883215i | \(-0.655374\pi\) |
0.292916 | + | 0.956138i | \(0.405374\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 2.09189 | − | 5.05026i | 0.0768474 | − | 0.185526i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 5.78338 | + | 5.78338i | 0.212172 | + | 0.212172i | 0.805189 | − | 0.593018i | \(-0.202064\pi\) |
−0.593018 | + | 0.805189i | \(0.702064\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −20.7943 | + | 20.7943i | −0.761844 | + | 0.761844i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 6.88522 | + | 2.85195i | 0.251917 | + | 0.104347i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0.612028 | + | 1.47757i | 0.0223630 | + | 0.0539891i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 16.4504i | − | 0.600283i | −0.953895 | − | 0.300141i | \(-0.902966\pi\) | ||
0.953895 | − | 0.300141i | \(-0.0970338\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | − | 0.184821i | − | 0.00673524i | ||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −16.0297 | − | 38.6991i | −0.583380 | − | 1.40840i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 6.29845 | + | 2.60890i | 0.228921 | + | 0.0948222i | 0.494196 | − | 0.869351i | \(-0.335463\pi\) |
−0.265275 | + | 0.964173i | \(0.585463\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −0.336527 | + | 0.336527i | −0.0122151 | + | 0.0122151i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −8.75540 | − | 8.75540i | −0.317383 | − | 0.317383i | 0.530378 | − | 0.847761i | \(-0.322050\pi\) |
−0.847761 | + | 0.530378i | \(0.822050\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 6.95890 | − | 16.8003i | 0.251929 | − | 0.608211i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −15.5887 | + | 6.45704i | −0.563610 | + | 0.233455i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 28.4602 | 1.02764 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 31.9426 | 1.15188 | 0.575940 | − | 0.817492i | \(-0.304636\pi\) | ||||
0.575940 | + | 0.817492i | \(0.304636\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −27.4817 | + | 11.3833i | −0.989729 | + | 0.409959i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 11.4245 | − | 27.5812i | 0.410911 | − | 0.992027i | −0.573983 | − | 0.818867i | \(-0.694602\pi\) |
0.984894 | − | 0.173159i | \(-0.0553976\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 46.0394 | + | 46.0394i | 1.65379 | + | 1.65379i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −17.3790 | + | 17.3790i | −0.623468 | + | 0.623468i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 1.91365 | + | 0.792659i | 0.0685636 | + | 0.0284000i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 2.03550 | + | 4.91414i | 0.0728360 | + | 0.175842i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | − | 0.165732i | − | 0.00592278i | ||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 4.34850i | 0.155205i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 4.33415 | + | 10.4636i | 0.154496 | + | 0.372986i | 0.982109 | − | 0.188313i | \(-0.0603019\pi\) |
−0.827613 | + | 0.561299i | \(0.810302\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −0.276038 | − | 0.114338i | −0.00982720 | − | 0.00407056i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 16.4909 | − | 16.4909i | 0.586349 | − | 0.586349i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 11.1851 | + | 11.1851i | 0.397195 | + | 0.397195i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 15.3541 | − | 37.0682i | 0.544555 | − | 1.31467i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 46.7451 | − | 19.3624i | 1.65580 | − | 0.685853i | 0.658050 | − | 0.752974i | \(-0.271381\pi\) |
0.997745 | + | 0.0671211i | \(0.0213814\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 3.40276 | 0.120381 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 12.1692 | 0.429978 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 2.60174 | − | 1.07768i | 0.0918136 | − | 0.0380304i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 4.98959 | − | 12.0459i | 0.175860 | − | 0.424563i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −16.9715 | − | 16.9715i | −0.597426 | − | 0.597426i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −1.47101 | + | 1.47101i | −0.0517179 | + | 0.0517179i | −0.732493 | − | 0.680775i | \(-0.761643\pi\) |
0.680775 | + | 0.732493i | \(0.261643\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −27.3097 | − | 11.3120i | −0.958972 | − | 0.397219i | −0.152376 | − | 0.988323i | \(-0.548693\pi\) |
−0.806596 | + | 0.591103i | \(0.798693\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 5.95314 | + | 14.3722i | 0.208786 | + | 0.504054i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 48.1041i | 1.68501i | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | − | 3.24337i | − | 0.113471i | ||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −6.99060 | − | 16.8768i | −0.244271 | − | 0.589723i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 2.95519 | + | 1.22408i | 0.103137 | + | 0.0427207i | 0.433655 | − | 0.901079i | \(-0.357224\pi\) |
−0.330518 | + | 0.943800i | \(0.607224\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 11.2350 | − | 11.2350i | 0.391626 | − | 0.391626i | −0.483640 | − | 0.875267i | \(-0.660686\pi\) |
0.875267 | + | 0.483640i | \(0.160686\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −2.44466 | − | 2.44466i | −0.0851122 | − | 0.0851122i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −16.2758 | + | 39.2934i | −0.565967 | + | 1.36636i | 0.338962 | + | 0.940800i | \(0.389924\pi\) |
−0.904928 | + | 0.425564i | \(0.860076\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −41.9981 | + | 17.3962i | −1.45866 | + | 0.604195i | −0.964240 | − | 0.265031i | \(-0.914618\pi\) |
−0.494416 | + | 0.869226i | \(0.664618\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −26.1629 | −0.907583 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 25.4615 | 0.882188 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 30.6285 | − | 12.6867i | 1.05994 | − | 0.439043i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −3.28135 | + | 7.92188i | −0.113420 | + | 0.273820i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 36.5559 | + | 36.5559i | 1.26205 | + | 1.26205i | 0.950097 | + | 0.311954i | \(0.100983\pi\) |
0.311954 | + | 0.950097i | \(0.399017\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −20.4867 | + | 20.4867i | −0.706437 | + | 0.706437i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 24.2137 | + | 10.0296i | 0.833964 | + | 0.345439i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 19.0245 | + | 45.9291i | 0.654462 | + | 1.58001i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 37.9360i | 1.30350i | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 9.41220i | 0.323026i | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 2.79699 | + | 6.75254i | 0.0958796 | + | 0.231474i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −37.5279 | − | 15.5446i | −1.28493 | − | 0.532236i | −0.367461 | − | 0.930039i | \(-0.619773\pi\) |
−0.917471 | + | 0.397802i | \(0.869773\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −2.63937 | + | 2.63937i | −0.0902647 | + | 0.0902647i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −14.0544 | − | 14.0544i | −0.480088 | − | 0.480088i | 0.425072 | − | 0.905160i | \(-0.360249\pi\) |
−0.905160 | + | 0.425072i | \(0.860249\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 2.44981 | − | 5.91435i | 0.0835863 | − | 0.201795i | −0.876560 | − | 0.481292i | \(-0.840168\pi\) |
0.960147 | + | 0.279497i | \(0.0901677\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 6.39496 | − | 2.64888i | 0.217940 | − | 0.0902736i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −49.2474 | −1.67640 | −0.838201 | − | 0.545361i | \(-0.816392\pi\) | ||||
−0.838201 | + | 0.545361i | \(0.816392\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 66.2465 | 2.25245 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −5.18038 | + | 2.14578i | −0.175935 | + | 0.0728746i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 1.64994 | − | 3.98330i | 0.0559703 | − | 0.135124i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −21.4546 | − | 21.4546i | −0.726962 | − | 0.726962i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −7.22075 | + | 7.22075i | −0.244385 | + | 0.244385i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 29.8858 | + | 12.3791i | 1.01033 | + | 0.418490i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −3.14641 | − | 7.59609i | −0.106247 | − | 0.256502i | 0.861811 | − | 0.507229i | \(-0.169330\pi\) |
−0.968058 | + | 0.250727i | \(0.919330\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 21.7460i | 0.733474i | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 0.591830i | − | 0.0199392i | −0.999950 | − | 0.00996962i | \(-0.996827\pi\) | ||
0.999950 | − | 0.00996962i | \(-0.00317348\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −12.2234 | − | 29.5100i | −0.411352 | − | 0.993091i | −0.984775 | − | 0.173832i | \(-0.944385\pi\) |
0.573424 | − | 0.819259i | \(-0.305615\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −17.9544 | − | 7.43695i | −0.603530 | − | 0.249990i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −19.3889 | + | 19.3889i | −0.651017 | + | 0.651017i | −0.953238 | − | 0.302221i | \(-0.902272\pi\) |
0.302221 | + | 0.953238i | \(0.402272\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −47.6312 | − | 47.6312i | −1.59750 | − | 1.59750i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0.174237 | − | 0.420646i | 0.00583717 | − | 0.0140922i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 0.695454 | − | 0.288067i | 0.0232725 | − | 0.00963978i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 35.2994 | 1.17993 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −5.43233 | −0.181380 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −1.31291 | + | 0.543825i | −0.0437880 | + | 0.0181376i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 20.5721 | − | 49.6654i | 0.685356 | − | 1.65460i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −7.66404 | − | 7.66404i | −0.255043 | − | 0.255043i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 15.1005 | − | 15.1005i | 0.501959 | − | 0.501959i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −7.79114 | − | 3.22719i | −0.258700 | − | 0.107157i | 0.249564 | − | 0.968358i | \(-0.419713\pi\) |
−0.508264 | + | 0.861201i | \(0.669713\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −1.92210 | − | 4.64035i | −0.0637519 | − | 0.153911i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 32.8156i | − | 1.08723i | −0.839335 | − | 0.543615i | \(-0.817055\pi\) | ||
0.839335 | − | 0.543615i | \(-0.182945\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 3.39315i | 0.112297i | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −4.13345 | − | 9.97903i | −0.136648 | − | 0.329896i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −58.4776 | − | 24.2222i | −1.93110 | − | 0.799887i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 3.20080 | − | 3.20080i | 0.105584 | − | 0.105584i | −0.652341 | − | 0.757926i | \(-0.726213\pi\) |
0.757926 | + | 0.652341i | \(0.226213\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 21.7574 | + | 21.7574i | 0.716930 | + | 0.716930i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −23.2340 | + | 56.0918i | −0.764756 | + | 1.84628i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −49.0531 | + | 20.3184i | −1.61285 | + | 0.668066i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 4.23764 | 0.139182 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −5.46430 | −0.179278 | −0.0896389 | − | 0.995974i | \(-0.528571\pi\) | ||||
−0.0896389 | + | 0.995974i | \(0.528571\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 5.20381 | − | 2.15549i | 0.170548 | − | 0.0706433i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 0.587233 | − | 1.41771i | 0.0192251 | − | 0.0464136i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −5.43225 | − | 5.43225i | −0.177654 | − | 0.177654i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −20.1655 | + | 20.1655i | −0.658779 | + | 0.658779i | −0.955091 | − | 0.296312i | \(-0.904243\pi\) |
0.296312 | + | 0.955091i | \(0.404243\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 4.50160 | + | 1.86462i | 0.146904 | + | 0.0608497i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 10.4612 | + | 25.2557i | 0.341027 | + | 0.823311i | 0.997613 | + | 0.0690598i | \(0.0219999\pi\) |
−0.656586 | + | 0.754251i | \(0.728000\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | − | 2.05842i | − | 0.0670314i | ||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 12.4736i | 0.405766i | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 7.10795 | + | 17.1601i | 0.230977 | + | 0.557628i | 0.996293 | − | 0.0860269i | \(-0.0274171\pi\) |
−0.765316 | + | 0.643655i | \(0.777417\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 29.6973 | + | 12.3010i | 0.964014 | + | 0.399308i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −1.43303 | + | 1.43303i | −0.0464690 | + | 0.0464690i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −8.36834 | − | 8.36834i | −0.271077 | − | 0.271077i | 0.558457 | − | 0.829534i | \(-0.311394\pi\) |
−0.829534 | + | 0.558457i | \(0.811394\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −7.81120 | + | 18.8579i | −0.252765 | + | 0.610228i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0.0697145 | − | 0.0288767i | 0.00225355 | − | 0.000933451i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 20.7575 | 0.670294 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 42.5234 | 1.37172 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −0.420364 | + | 0.174120i | −0.0135460 | + | 0.00561095i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −2.75542 | + | 6.65217i | −0.0887001 | + | 0.214141i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −15.9921 | − | 15.9921i | −0.514273 | − | 0.514273i | 0.401560 | − | 0.915833i | \(-0.368468\pi\) |
−0.915833 | + | 0.401560i | \(0.868468\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −3.53634 | + | 3.53634i | −0.113604 | + | 0.113604i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −30.0555 | − | 12.4494i | −0.964528 | − | 0.399521i | −0.155856 | − | 0.987780i | \(-0.549814\pi\) |
−0.808673 | + | 0.588259i | \(0.799814\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −24.9990 | − | 60.3530i | −0.801433 | − | 1.93483i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | − | 39.4626i | − | 1.26381i | ||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 25.2550i | 0.807979i | 0.914764 | + | 0.403989i | \(0.132377\pi\) | ||||
−0.914764 | + | 0.403989i | \(0.867623\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 2.12033 | + | 5.11892i | 0.0677660 | + | 0.163602i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 4.77963 | + | 1.97979i | 0.152602 | + | 0.0632098i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −37.2730 | + | 37.2730i | −1.18882 | + | 1.18882i | −0.211432 | + | 0.977393i | \(0.567813\pi\) |
−0.977393 | + | 0.211432i | \(0.932187\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 23.2707 | + | 23.2707i | 0.741467 | + | 0.741467i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0.962650 | − | 2.32404i | 0.0306415 | − | 0.0739751i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −2.97783 | + | 1.23346i | −0.0946895 | + | 0.0392217i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 21.7711 | 0.691581 | 0.345791 | − | 0.938312i | \(-0.387611\pi\) | ||||
0.345791 | + | 0.938312i | \(0.387611\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −29.6265 | −0.940167 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −59.0969 | + | 24.4787i | −1.87350 | + | 0.776028i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −7.63502 | + | 18.4326i | −0.241803 | + | 0.583765i | −0.997462 | − | 0.0712005i | \(-0.977317\pi\) |
0.755659 | + | 0.654966i | \(0.227317\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −4.94428 | − | 4.94428i | −0.156430 | − | 0.156430i |
(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 | 768.2.n.b.97.8 | 32 | ||
4.3 | odd | 2 | 768.2.n.a.97.4 | 32 | |||
8.3 | odd | 2 | 96.2.n.a.85.4 | yes | 32 | ||
8.5 | even | 2 | 384.2.n.a.49.1 | 32 | |||
24.5 | odd | 2 | 1152.2.v.c.433.7 | 32 | |||
24.11 | even | 2 | 288.2.v.d.181.5 | 32 | |||
32.3 | odd | 8 | 768.2.n.a.673.4 | 32 | |||
32.13 | even | 8 | 384.2.n.a.337.1 | 32 | |||
32.19 | odd | 8 | 96.2.n.a.61.4 | ✓ | 32 | ||
32.29 | even | 8 | inner | 768.2.n.b.673.8 | 32 | ||
96.77 | odd | 8 | 1152.2.v.c.721.7 | 32 | |||
96.83 | even | 8 | 288.2.v.d.253.5 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
96.2.n.a.61.4 | ✓ | 32 | 32.19 | odd | 8 | ||
96.2.n.a.85.4 | yes | 32 | 8.3 | odd | 2 | ||
288.2.v.d.181.5 | 32 | 24.11 | even | 2 | |||
288.2.v.d.253.5 | 32 | 96.83 | even | 8 | |||
384.2.n.a.49.1 | 32 | 8.5 | even | 2 | |||
384.2.n.a.337.1 | 32 | 32.13 | even | 8 | |||
768.2.n.a.97.4 | 32 | 4.3 | odd | 2 | |||
768.2.n.a.673.4 | 32 | 32.3 | odd | 8 | |||
768.2.n.b.97.8 | 32 | 1.1 | even | 1 | trivial | ||
768.2.n.b.673.8 | 32 | 32.29 | even | 8 | inner | ||
1152.2.v.c.433.7 | 32 | 24.5 | odd | 2 | |||
1152.2.v.c.721.7 | 32 | 96.77 | odd | 8 |