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 | 337.8 | ||
Character | \(\chi\) | \(=\) | 384.337 |
Dual form | 384.2.n.a.49.8 |
$q$-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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(133\) | \(257\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{8}\right)\) | \(1\) |
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 | ||||||||
\(3\) | 0.923880 | + | 0.382683i | 0.533402 | + | 0.220942i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.36206 | + | 3.28830i | 0.609132 | + | 1.47057i | 0.863946 | + | 0.503584i | \(0.167986\pi\) |
−0.254814 | + | 0.966990i | \(0.582014\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.73097 | − | 2.73097i | 1.03221 | − | 1.03221i | 0.0327442 | − | 0.999464i | \(-0.489575\pi\) |
0.999464 | − | 0.0327442i | \(-0.0104247\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.707107 | + | 0.707107i | 0.235702 | + | 0.235702i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −3.01609 | + | 1.24931i | −0.909387 | + | 0.376680i | −0.787822 | − | 0.615903i | \(-0.788791\pi\) |
−0.121565 | + | 0.992583i | \(0.538791\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.932498 | − | 2.25125i | 0.258628 | − | 0.624384i | −0.740220 | − | 0.672365i | \(-0.765279\pi\) |
0.998848 | + | 0.0479806i | \(0.0152786\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 3.55923i | 0.918990i | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 0.517450i | 0.125500i | 0.998029 | + | 0.0627500i | \(0.0199871\pi\) | ||||
−0.998029 | + | 0.0627500i | \(0.980013\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.52739 | + | 3.68744i | −0.350407 | + | 0.845956i | 0.646163 | + | 0.763199i | \(0.276373\pi\) |
−0.996570 | + | 0.0827570i | \(0.973627\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 3.56818 | − | 1.47799i | 0.778640 | − | 0.322523i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −2.39792 | − | 2.39792i | −0.500000 | − | 0.500000i | 0.411438 | − | 0.911438i | \(-0.365027\pi\) |
−0.911438 | + | 0.411438i | \(0.865027\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −5.42220 | + | 5.42220i | −1.08444 | + | 1.08444i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0.382683 | + | 0.923880i | 0.0736475 | + | 0.177801i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 7.09056 | + | 2.93701i | 1.31668 | + | 0.545389i | 0.926828 | − | 0.375487i | \(-0.122524\pi\) |
0.389857 | + | 0.920875i | \(0.372524\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.50132 | 0.269644 | 0.134822 | − | 0.990870i | \(-0.456954\pi\) | ||||
0.134822 | + | 0.990870i | \(0.456954\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −3.26460 | −0.568293 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 12.7000 | + | 5.26051i | 2.14669 | + | 0.889188i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.40814 | − | 8.22797i | −0.560294 | − | 1.35267i | −0.909531 | − | 0.415635i | \(-0.863559\pi\) |
0.349237 | − | 0.937034i | \(-0.386441\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 1.72303 | − | 1.72303i | 0.275906 | − | 0.275906i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −3.21656 | − | 3.21656i | −0.502342 | − | 0.502342i | 0.409823 | − | 0.912165i | \(-0.365590\pi\) |
−0.912165 | + | 0.409823i | \(0.865590\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.31346 | − | 0.544054i | 0.200301 | − | 0.0829675i | −0.280278 | − | 0.959919i | \(-0.590427\pi\) |
0.480579 | + | 0.876951i | \(0.340427\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.36206 | + | 3.28830i | −0.203044 | + | 0.490191i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | − | 4.67448i | − | 0.681843i | −0.940092 | − | 0.340921i | \(-0.889261\pi\) | ||
0.940092 | − | 0.340921i | \(-0.110739\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | − | 7.91635i | − | 1.13091i | ||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.198019 | + | 0.478061i | −0.0277283 | + | 0.0669419i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −4.19534 | + | 1.73777i | −0.576275 | + | 0.238701i | −0.651733 | − | 0.758448i | \(-0.725958\pi\) |
0.0754586 | + | 0.997149i | \(0.475958\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −8.21621 | − | 8.21621i | −1.10787 | − | 1.10787i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −2.82224 | + | 2.82224i | −0.373815 | + | 0.373815i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 0.680868 | + | 1.64376i | 0.0886415 | + | 0.213999i | 0.961983 | − | 0.273109i | \(-0.0880518\pi\) |
−0.873342 | + | 0.487108i | \(0.838052\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 6.71487 | + | 2.78139i | 0.859751 | + | 0.356121i | 0.768610 | − | 0.639717i | \(-0.220949\pi\) |
0.0911409 | + | 0.995838i | \(0.470949\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 3.86217 | 0.486587 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 8.67291 | 1.07574 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −11.1312 | − | 4.61070i | −1.35989 | − | 0.563286i | −0.420864 | − | 0.907124i | \(-0.638273\pi\) |
−0.939029 | + | 0.343837i | \(0.888273\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −1.29774 | − | 3.13303i | −0.156230 | − | 0.377172i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −1.86620 | + | 1.86620i | −0.221477 | + | 0.221477i | −0.809120 | − | 0.587643i | \(-0.800056\pi\) |
0.587643 | + | 0.809120i | \(0.300056\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −9.06859 | − | 9.06859i | −1.06140 | − | 1.06140i | −0.997988 | − | 0.0634101i | \(-0.979802\pi\) |
−0.0634101 | − | 0.997988i | \(-0.520198\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −7.08445 | + | 2.93447i | −0.818042 | + | 0.338844i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −4.82504 | + | 11.6487i | −0.549864 | + | 1.32749i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 10.4412i | 1.17473i | 0.809323 | + | 0.587364i | \(0.199834\pi\) | ||||
−0.809323 | + | 0.587364i | \(0.800166\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 1.00000i | 0.111111i | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 1.89340 | − | 4.57106i | 0.207827 | − | 0.501739i | −0.785253 | − | 0.619175i | \(-0.787467\pi\) |
0.993081 | + | 0.117435i | \(0.0374673\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.70153 | + | 0.704798i | −0.184557 | + | 0.0764460i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 5.42688 | + | 5.42688i | 0.581823 | + | 0.581823i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −2.70762 | + | 2.70762i | −0.287007 | + | 0.287007i | −0.835896 | − | 0.548888i | \(-0.815051\pi\) |
0.548888 | + | 0.835896i | \(0.315051\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −3.60147 | − | 8.69471i | −0.377536 | − | 0.911453i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 1.38704 | + | 0.574529i | 0.143829 | + | 0.0595759i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −14.2058 | −1.45749 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 3.73293 | 0.379022 | 0.189511 | − | 0.981879i | \(-0.439310\pi\) | ||||
0.189511 | + | 0.981879i | \(0.439310\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −3.01609 | − | 1.24931i | −0.303129 | − | 0.125560i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −6.36949 | − | 15.3773i | −0.633788 | − | 1.53010i | −0.834824 | − | 0.550517i | \(-0.814431\pi\) |
0.201036 | − | 0.979584i | \(-0.435569\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 7.42244 | − | 7.42244i | 0.731355 | − | 0.731355i | −0.239533 | − | 0.970888i | \(-0.576994\pi\) |
0.970888 | + | 0.239533i | \(0.0769944\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 9.72015 | + | 9.72015i | 0.948589 | + | 0.948589i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −7.85343 | + | 3.25300i | −0.759220 | + | 0.314479i | −0.728497 | − | 0.685049i | \(-0.759781\pi\) |
−0.0307226 | + | 0.999528i | \(0.509781\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 3.33028 | − | 8.04001i | 0.318983 | − | 0.770094i | −0.680325 | − | 0.732910i | \(-0.738161\pi\) |
0.999308 | − | 0.0371832i | \(-0.0118385\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | − | 8.90589i | − | 0.845310i | ||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | − | 17.4463i | − | 1.64121i | −0.571494 | − | 0.820606i | \(-0.693636\pi\) | ||
0.571494 | − | 0.820606i | \(-0.306364\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 4.61897 | − | 11.1512i | 0.430721 | − | 1.03985i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 2.25125 | − | 0.932498i | 0.208128 | − | 0.0862095i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 1.41314 | + | 1.41314i | 0.129542 | + | 0.129542i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.242116 | + | 0.242116i | −0.0220105 | + | 0.0220105i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −1.74079 | − | 4.20263i | −0.156962 | − | 0.378939i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −8.77369 | − | 3.63418i | −0.784743 | − | 0.325051i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.84791 | −0.163975 | −0.0819876 | − | 0.996633i | \(-0.526127\pi\) | ||||
−0.0819876 | + | 0.996633i | \(0.526127\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 1.42168 | 0.125172 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 7.59353 | + | 3.14534i | 0.663450 | + | 0.274810i | 0.688889 | − | 0.724866i | \(-0.258099\pi\) |
−0.0254395 | + | 0.999676i | \(0.508099\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 5.89902 | + | 14.2415i | 0.511510 | + | 1.23490i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −2.51676 | + | 2.51676i | −0.216608 | + | 0.216608i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 7.98582 | + | 7.98582i | 0.682274 | + | 0.682274i | 0.960512 | − | 0.278238i | \(-0.0897503\pi\) |
−0.278238 | + | 0.960512i | \(0.589750\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1.52261 | + | 0.630686i | −0.129146 | + | 0.0534941i | −0.446321 | − | 0.894873i | \(-0.647266\pi\) |
0.317174 | + | 0.948367i | \(0.397266\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 1.78885 | − | 4.31865i | 0.150648 | − | 0.363696i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 7.95496i | 0.665227i | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 27.3163i | 2.26850i | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 3.02945 | − | 7.31375i | 0.249865 | − | 0.603228i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −3.85004 | + | 1.59474i | −0.315408 | + | 0.130646i | −0.534771 | − | 0.844997i | \(-0.679602\pi\) |
0.219363 | + | 0.975643i | \(0.429602\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0.409447 | + | 0.409447i | 0.0333203 | + | 0.0333203i | 0.723571 | − | 0.690250i | \(-0.242500\pi\) |
−0.690250 | + | 0.723571i | \(0.742500\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −0.365892 | + | 0.365892i | −0.0295806 | + | 0.0295806i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 2.04488 | + | 4.93678i | 0.164249 | + | 0.396532i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −12.1456 | − | 5.03087i | −0.969324 | − | 0.401507i | −0.158864 | − | 0.987301i | \(-0.550783\pi\) |
−0.810461 | + | 0.585793i | \(0.800783\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −4.54101 | −0.360125 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −13.0973 | −1.03221 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 15.6056 | + | 6.46405i | 1.22233 | + | 0.506304i | 0.898148 | − | 0.439693i | \(-0.144913\pi\) |
0.324177 | + | 0.945996i | \(0.394913\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −4.44658 | − | 10.7350i | −0.346166 | − | 0.835718i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 3.65825 | − | 3.65825i | 0.283084 | − | 0.283084i | −0.551254 | − | 0.834338i | \(-0.685850\pi\) |
0.834338 | + | 0.551254i | \(0.185850\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 4.99382 | + | 4.99382i | 0.384140 | + | 0.384140i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −3.68744 | + | 1.52739i | −0.281985 | + | 0.116802i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −4.69766 | + | 11.3412i | −0.357156 | + | 0.862252i | 0.638541 | + | 0.769588i | \(0.279538\pi\) |
−0.995697 | + | 0.0926640i | \(0.970462\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 29.6157i | 2.23874i | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 1.77919i | 0.133732i | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −2.26551 | + | 5.46943i | −0.169332 | + | 0.408804i | −0.985651 | − | 0.168798i | \(-0.946011\pi\) |
0.816318 | + | 0.577602i | \(0.196011\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −14.5765 | + | 6.03777i | −1.08346 | + | 0.448784i | −0.851722 | − | 0.523994i | \(-0.824441\pi\) |
−0.231738 | + | 0.972778i | \(0.574441\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 5.13934 | + | 5.13934i | 0.379911 | + | 0.379911i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 22.4140 | − | 22.4140i | 1.64791 | − | 1.64791i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.646454 | − | 1.56068i | −0.0472734 | − | 0.114128i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 3.56818 | + | 1.47799i | 0.259547 | + | 0.107508i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 12.3765 | 0.895535 | 0.447768 | − | 0.894150i | \(-0.352219\pi\) | ||||
0.447768 | + | 0.894150i | \(0.352219\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 21.9343 | 1.57887 | 0.789434 | − | 0.613835i | \(-0.210374\pi\) | ||||
0.789434 | + | 0.613835i | \(0.210374\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 8.01273 | + | 3.31898i | 0.573803 | + | 0.237677i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 6.52756 | + | 15.7589i | 0.465070 | + | 1.12278i | 0.966290 | + | 0.257458i | \(0.0828847\pi\) |
−0.501220 | + | 0.865320i | \(0.667115\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −5.80270 | + | 5.80270i | −0.411343 | + | 0.411343i | −0.882206 | − | 0.470863i | \(-0.843942\pi\) |
0.470863 | + | 0.882206i | \(0.343942\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −8.51946 | − | 8.51946i | −0.600916 | − | 0.600916i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 27.3850 | − | 11.3432i | 1.92205 | − | 0.796138i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 6.19587 | − | 14.9582i | 0.432738 | − | 1.04472i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | − | 3.39117i | − | 0.235702i | ||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | − | 13.0298i | − | 0.901293i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −7.65444 | + | 18.4794i | −0.526953 | + | 1.27218i | 0.406557 | + | 0.913626i | \(0.366729\pi\) |
−0.933510 | + | 0.358552i | \(0.883271\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −2.43831 | + | 1.00998i | −0.167070 | + | 0.0692026i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 3.57803 | + | 3.57803i | 0.244020 | + | 0.244020i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 4.10004 | − | 4.10004i | 0.278329 | − | 0.278329i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −4.90788 | − | 11.8487i | −0.331644 | − | 0.800659i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 1.16491 | + | 0.482521i | 0.0783602 | + | 0.0324579i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 29.0773 | 1.94716 | 0.973580 | − | 0.228346i | \(-0.0733317\pi\) | ||||
0.973580 | + | 0.228346i | \(0.0733317\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −7.66815 | −0.511210 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −23.2583 | − | 9.63391i | −1.54371 | − | 0.639425i | −0.561544 | − | 0.827447i | \(-0.689792\pi\) |
−0.982165 | + | 0.188022i | \(0.939792\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 2.92749 | + | 7.06760i | 0.193454 | + | 0.467040i | 0.990607 | − | 0.136737i | \(-0.0436616\pi\) |
−0.797153 | + | 0.603777i | \(0.793662\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −8.91550 | + | 8.91550i | −0.586597 | + | 0.586597i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 13.0873 | + | 13.0873i | 0.857375 | + | 0.857375i | 0.991028 | − | 0.133653i | \(-0.0426708\pi\) |
−0.133653 | + | 0.991028i | \(0.542671\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 15.3711 | − | 6.36692i | 1.00270 | − | 0.415332i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −3.99568 | + | 9.64642i | −0.259547 | + | 0.626602i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | − | 4.10909i | − | 0.265795i | −0.991130 | − | 0.132897i | \(-0.957572\pi\) | ||
0.991130 | − | 0.132897i | \(-0.0424281\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 14.2144i | 0.915632i | 0.889047 | + | 0.457816i | \(0.151368\pi\) | ||||
−0.889047 | + | 0.457816i | \(0.848632\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −0.382683 | + | 0.923880i | −0.0245492 | + | 0.0592669i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 26.0314 | − | 10.7825i | 1.66308 | − | 0.688871i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 6.87706 | + | 6.87706i | 0.437577 | + | 0.437577i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 3.49854 | − | 3.49854i | 0.221711 | − | 0.221711i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −2.36893 | − | 5.71910i | −0.149525 | − | 0.360986i | 0.831314 | − | 0.555803i | \(-0.187589\pi\) |
−0.980840 | + | 0.194816i | \(0.937589\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 10.2281 | + | 4.23661i | 0.643034 | + | 0.266353i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −1.84172 | −0.115333 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −8.28191 | −0.516612 | −0.258306 | − | 0.966063i | \(-0.583164\pi\) | ||||
−0.258306 | + | 0.966063i | \(0.583164\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −31.7778 | − | 13.1628i | −1.97458 | − | 0.817896i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 2.93701 | + | 7.09056i | 0.181796 | + | 0.438895i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −15.4068 | + | 15.4068i | −0.950023 | + | 0.950023i | −0.998809 | − | 0.0487861i | \(-0.984465\pi\) |
0.0487861 | + | 0.998809i | \(0.484465\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −11.4286 | − | 11.4286i | −0.702055 | − | 0.702055i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −3.53768 | + | 1.46535i | −0.216502 | + | 0.0896782i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −3.09893 | + | 7.48148i | −0.188945 | + | 0.456154i | −0.989757 | − | 0.142762i | \(-0.954402\pi\) |
0.800812 | + | 0.598916i | \(0.204402\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 28.7832i | − | 1.74846i | −0.485515 | − | 0.874228i | \(-0.661368\pi\) | ||
0.485515 | − | 0.874228i | \(-0.338632\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | − | 9.41108i | − | 0.569585i | ||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 9.57988 | − | 23.1279i | 0.577688 | − | 1.39466i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −12.1515 | + | 5.03333i | −0.730115 | + | 0.302424i | −0.716599 | − | 0.697485i | \(-0.754302\pi\) |
−0.0135158 | + | 0.999909i | \(0.504302\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 1.06159 | + | 1.06159i | 0.0635558 | + | 0.0635558i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −21.6306 | + | 21.6306i | −1.29037 | + | 1.29037i | −0.355820 | + | 0.934555i | \(0.615798\pi\) |
−0.934555 | + | 0.355820i | \(0.884202\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 11.4777 | + | 27.7097i | 0.682281 | + | 1.64717i | 0.759781 | + | 0.650179i | \(0.225306\pi\) |
−0.0775002 | + | 0.996992i | \(0.524694\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −13.1245 | − | 5.43633i | −0.777426 | − | 0.322020i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −17.5686 | −1.03704 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 16.7322 | 0.984250 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 3.44878 | + | 1.42853i | 0.202171 | + | 0.0837420i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −1.84257 | − | 4.44836i | −0.107644 | − | 0.259876i | 0.860874 | − | 0.508818i | \(-0.169917\pi\) |
−0.968519 | + | 0.248942i | \(0.919917\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −4.47780 | + | 4.47780i | −0.260708 | + | 0.260708i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −2.30842 | − | 2.30842i | −0.133948 | − | 0.133948i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −7.63436 | + | 3.16226i | −0.441507 | + | 0.182878i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 2.10123 | − | 5.07282i | 0.121113 | − | 0.292392i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | − | 16.6443i | − | 0.956190i | ||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 25.8690i | 1.48125i | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −11.7403 | + | 28.3435i | −0.670052 | + | 1.61765i | 0.111467 | + | 0.993768i | \(0.464445\pi\) |
−0.781519 | + | 0.623881i | \(0.785555\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 9.69789 | − | 4.01700i | 0.551694 | − | 0.228519i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −11.6121 | − | 11.6121i | −0.658459 | − | 0.658459i | 0.296556 | − | 0.955015i | \(-0.404162\pi\) |
−0.955015 | + | 0.296556i | \(0.904162\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −6.84409 | + | 6.84409i | −0.386851 | + | 0.386851i | −0.873563 | − | 0.486712i | \(-0.838196\pi\) |
0.486712 | + | 0.873563i | \(0.338196\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 5.26051 | + | 12.7000i | 0.296396 | + | 0.715563i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −23.6795 | − | 9.80835i | −1.32997 | − | 0.550892i | −0.399324 | − | 0.916810i | \(-0.630755\pi\) |
−0.930647 | + | 0.365918i | \(0.880755\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −25.0550 | −1.40281 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −8.50049 | −0.474451 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −1.90806 | − | 0.790346i | −0.106167 | − | 0.0439760i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 7.15054 | + | 17.2629i | 0.396640 | + | 0.957575i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 6.15356 | − | 6.15356i | 0.340293 | − | 0.340293i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −12.7658 | − | 12.7658i | −0.703803 | − | 0.703803i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 21.7107 | − | 8.99285i | 1.19333 | − | 0.494292i | 0.304489 | − | 0.952516i | \(-0.401514\pi\) |
0.888837 | + | 0.458224i | \(0.151514\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 3.40814 | − | 8.22797i | 0.186765 | − | 0.450890i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | − | 42.8828i | − | 2.34294i | ||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 24.2394i | − | 1.32040i | −0.751088 | − | 0.660202i | \(-0.770471\pi\) | ||
0.751088 | − | 0.660202i | \(-0.229529\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 6.67642 | − | 16.1183i | 0.362613 | − | 0.875426i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −4.52811 | + | 1.87561i | −0.245211 | + | 0.101570i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −2.50251 | − | 2.50251i | −0.135123 | − | 0.135123i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 8.53475 | − | 8.53475i | 0.459495 | − | 0.459495i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 1.42236 | + | 3.43389i | 0.0763565 | + | 0.184341i | 0.957449 | − | 0.288604i | \(-0.0931910\pi\) |
−0.881092 | + | 0.472945i | \(0.843191\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 3.17452 | + | 1.31493i | 0.169928 | + | 0.0703866i | 0.466026 | − | 0.884771i | \(-0.345685\pi\) |
−0.296098 | + | 0.955158i | \(0.595685\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 2.43674 | 0.130063 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −7.88845 | −0.419860 | −0.209930 | − | 0.977716i | \(-0.567324\pi\) | ||||
−0.209930 | + | 0.977716i | \(0.567324\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −8.67850 | − | 3.59475i | −0.460607 | − | 0.190790i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0.764784 | + | 1.84635i | 0.0404767 | + | 0.0977193i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 2.60336 | − | 2.60336i | 0.137400 | − | 0.137400i | −0.635062 | − | 0.772462i | \(-0.719025\pi\) |
0.772462 | + | 0.635062i | \(0.219025\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 2.17074 | + | 2.17074i | 0.114250 | + | 0.114250i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −0.316339 | + | 0.131032i | −0.0166035 | + | 0.00687740i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 17.4683 | − | 42.1722i | 0.914333 | − | 2.20740i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | − | 1.41682i | − | 0.0739575i | −0.999316 | − | 0.0369787i | \(-0.988227\pi\) | ||
0.999316 | − | 0.0369787i | \(-0.0117734\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | − | 4.54890i | − | 0.236806i | ||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −6.71155 | + | 16.2031i | −0.348447 | + | 0.841224i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 30.8483 | − | 12.7778i | 1.59726 | − | 0.661609i | 0.606239 | − | 0.795282i | \(-0.292677\pi\) |
0.991025 | + | 0.133674i | \(0.0426774\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −6.71510 | − | 6.71510i | −0.346766 | − | 0.346766i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 13.2239 | − | 13.2239i | 0.681064 | − | 0.681064i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 4.79982 | + | 11.5878i | 0.246550 | + | 0.595224i | 0.997907 | − | 0.0646720i | \(-0.0206001\pi\) |
−0.751357 | + | 0.659896i | \(0.770600\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −1.70724 | − | 0.707163i | −0.0874647 | − | 0.0362291i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 13.2502 | 0.677053 | 0.338527 | − | 0.940957i | \(-0.390071\pi\) | ||||
0.338527 | + | 0.940957i | \(0.390071\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −44.8763 | −2.28711 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 1.31346 | + | 0.544054i | 0.0667671 | + | 0.0276558i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −1.30717 | − | 3.15579i | −0.0662762 | − | 0.160005i | 0.887271 | − | 0.461248i | \(-0.152598\pi\) |
−0.953547 | + | 0.301243i | \(0.902598\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.24080 | − | 1.24080i | 0.0627500 | − | 0.0627500i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 5.81184 | + | 5.81184i | 0.293168 | + | 0.293168i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −34.3339 | + | 14.2215i | −1.72752 | + | 0.715564i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −2.75561 | + | 6.65262i | −0.138300 | + | 0.333886i | −0.977821 | − | 0.209441i | \(-0.932836\pi\) |
0.839521 | + | 0.543327i | \(0.182836\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 15.4149i | 0.771710i | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 22.5969i | 1.12844i | 0.825626 | + | 0.564218i | \(0.190822\pi\) | ||||
−0.825626 | + | 0.564218i | \(0.809178\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.39997 | − | 3.37984i | 0.0697377 | − | 0.168362i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −3.28830 | + | 1.36206i | −0.163397 | + | 0.0676813i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 20.5585 | + | 20.5585i | 1.01905 | + | 1.01905i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −3.48618 | + | 3.48618i | −0.172380 | + | 0.172380i | −0.788024 | − | 0.615644i | \(-0.788896\pi\) |
0.615644 | + | 0.788024i | \(0.288896\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 4.32189 | + | 10.4340i | 0.213183 | + | 0.514670i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 6.34848 | + | 2.62963i | 0.312388 | + | 0.129395i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 17.6100 | 0.864439 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −1.64806 | −0.0807059 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −9.10369 | − | 3.77087i | −0.444744 | − | 0.184219i | 0.149061 | − | 0.988828i | \(-0.452375\pi\) |
−0.593805 | + | 0.804609i | \(0.702375\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −0.766817 | − | 1.85126i | −0.0373724 | − | 0.0902249i | 0.904091 | − | 0.427339i | \(-0.140549\pi\) |
−0.941464 | + | 0.337114i | \(0.890549\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 3.30535 | − | 3.30535i | 0.160712 | − | 0.160712i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −2.80572 | − | 2.80572i | −0.136097 | − | 0.136097i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 25.9340 | − | 10.7422i | 1.25503 | − | 0.519851i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −3.04423 | + | 7.34942i | −0.146977 | + | 0.354834i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 11.5510i | 0.556394i | 0.960524 | + | 0.278197i | \(0.0897368\pi\) | ||||
−0.960524 | + | 0.278197i | \(0.910263\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 3.12797i | 0.150321i | 0.997171 | + | 0.0751603i | \(0.0239468\pi\) | ||||
−0.997171 | + | 0.0751603i | \(0.976053\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −10.4535 | + | 25.2370i | −0.501207 | + | 1.21002i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 12.5047 | − | 5.17962i | 0.598182 | − | 0.247775i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −8.10867 | − | 8.10867i | −0.387006 | − | 0.387006i | 0.486612 | − | 0.873618i | \(-0.338232\pi\) |
−0.873618 | + | 0.486612i | \(0.838232\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 5.59770 | − | 5.59770i | 0.266557 | − | 0.266557i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −9.34973 | − | 22.5722i | −0.444219 | − | 1.07244i | −0.974454 | − | 0.224588i | \(-0.927896\pi\) |
0.530235 | − | 0.847851i | \(-0.322104\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −12.5914 | − | 5.21554i | −0.596891 | − | 0.247240i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −4.16726 | −0.197105 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −28.6259 | −1.35094 | −0.675469 | − | 0.737388i | \(-0.736059\pi\) | ||||
−0.675469 | + | 0.737388i | \(0.736059\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 13.7199 | + | 5.68297i | 0.646045 | + | 0.267601i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0.221591 | + | 0.534968i | 0.0104113 | + | 0.0251350i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 23.6854 | − | 23.6854i | 1.11039 | − | 1.11039i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −18.7182 | − | 18.7182i | −0.875602 | − | 0.875602i | 0.117474 | − | 0.993076i | \(-0.462520\pi\) |
−0.993076 | + | 0.117474i | \(0.962520\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −0.478061 | + | 0.198019i | −0.0223140 | + | 0.00924275i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 2.60820 | − | 6.29674i | 0.121476 | − | 0.293268i | −0.851431 | − | 0.524467i | \(-0.824265\pi\) |
0.972907 | + | 0.231198i | \(0.0742647\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 5.96406i | − | 0.277174i | −0.990350 | − | 0.138587i | \(-0.955744\pi\) | ||
0.990350 | − | 0.138587i | \(-0.0442560\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 5.34354i | 0.247801i | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −8.88493 | + | 21.4501i | −0.411146 | + | 0.992593i | 0.573685 | + | 0.819076i | \(0.305513\pi\) |
−0.984831 | + | 0.173518i | \(0.944487\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −42.9906 | + | 17.8073i | −1.98512 | + | 0.822264i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −9.29584 | − | 9.29584i | −0.428330 | − | 0.428330i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −3.28184 | + | 3.28184i | −0.150899 | + | 0.150899i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −11.7122 | − | 28.2758i | −0.537394 | − | 1.29738i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −4.19534 | − | 1.73777i | −0.192092 | − | 0.0795669i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 22.6413 | 1.03451 | 0.517254 | − | 0.855832i | \(-0.326954\pi\) | ||||
0.517254 | + | 0.855832i | \(0.326954\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −21.7013 | −0.989494 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −12.1003 | − | 5.01210i | −0.550582 | − | 0.228059i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 5.08448 | + | 12.2750i | 0.230874 | + | 0.557380i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −2.79015 | + | 2.79015i | −0.126434 | + | 0.126434i | −0.767492 | − | 0.641058i | \(-0.778496\pi\) |
0.641058 | + | 0.767492i | \(0.278496\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 11.9440 | + | 11.9440i | 0.540127 | + | 0.540127i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −19.9243 | + | 8.25292i | −0.899172 | + | 0.372449i | −0.783902 | − | 0.620885i | \(-0.786773\pi\) |
−0.115270 | + | 0.993334i | \(0.536773\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1.51975 | + | 3.66901i | −0.0684463 | + | 0.165244i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | − | 11.6195i | − | 0.522256i | ||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 10.1930i | 0.457221i | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 14.7704 | − | 35.6588i | 0.661212 | − | 1.59631i | −0.134695 | − | 0.990887i | \(-0.543005\pi\) |
0.795907 | − | 0.605419i | \(-0.206995\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 4.77973 | − | 1.97983i | 0.213543 | − | 0.0884523i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 26.5194 | + | 26.5194i | 1.18244 | + | 1.18244i | 0.979110 | + | 0.203333i | \(0.0651773\pi\) |
0.203333 | + | 0.979110i | \(0.434823\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 41.8897 | − | 41.8897i | 1.86407 | − | 1.86407i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 2.70263 | + | 6.52473i | 0.120028 | + | 0.289774i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 33.0361 | + | 13.6840i | 1.46430 | + | 0.606534i | 0.965551 | − | 0.260212i | \(-0.0837926\pi\) |
0.498750 | + | 0.866746i | \(0.333793\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −49.5320 | −2.19117 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −3.99125 | −0.176218 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 34.5171 | + | 14.2974i | 1.52100 | + | 0.630020i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 5.83986 | + | 14.0987i | 0.256837 | + | 0.620059i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −8.68014 | + | 8.68014i | −0.381016 | + | 0.381016i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −2.51581 | − | 2.51581i | −0.110220 | − | 0.110220i | 0.649846 | − | 0.760066i | \(-0.274833\pi\) |
−0.760066 | + | 0.649846i | \(0.774833\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −21.6449 | + | 8.96561i | −0.946465 | + | 0.392039i | −0.801901 | − | 0.597457i | \(-0.796178\pi\) |
−0.144564 | + | 0.989495i | \(0.546178\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −11.3334 | + | 27.3613i | −0.494632 | + | 1.19415i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 0.776856i | 0.0338404i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | − | 11.5000i | − | 0.500000i | ||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −0.680868 | + | 1.64376i | −0.0295472 | + | 0.0713331i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −10.2407 | + | 4.24184i | −0.443574 | + | 0.183734i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −21.3937 | − | 21.3937i | −0.924930 | − | 0.924930i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −4.18612 | + | 4.18612i | −0.180644 | + | 0.180644i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 9.88995 | + | 23.8764i | 0.425990 | + | 1.02843i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 9.88526 | + | 4.09461i | 0.425001 | + | 0.176041i | 0.584924 | − | 0.811088i | \(-0.301125\pi\) |
−0.159923 | + | 0.987130i | \(0.551125\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −15.7775 | −0.677075 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 30.9741 | 1.32678 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 4.92501 | + | 2.04001i | 0.210578 | + | 0.0872244i | 0.485479 | − | 0.874248i | \(-0.338645\pi\) |
−0.274901 | + | 0.961473i | \(0.588645\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 2.78139 | + | 6.71487i | 0.118707 | + | 0.286584i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −21.6601 | + | 21.6601i | −0.922750 | + | 0.922750i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 28.5146 | + | 28.5146i | 1.21256 | + | 1.21256i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 29.2853 | − | 12.1304i | 1.24309 | − | 0.514905i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −1.88066 | + | 4.54032i | −0.0796862 | + | 0.192380i | −0.958702 | − | 0.284414i | \(-0.908201\pi\) |
0.879015 | + | 0.476793i | \(0.158201\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 3.46426i | − | 0.146523i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | − | 1.68926i | − | 0.0713208i | ||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 4.16303 | − | 10.0504i | 0.175451 | − | 0.423575i | −0.811552 | − | 0.584281i | \(-0.801377\pi\) |
0.987002 | + | 0.160705i | \(0.0513768\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 57.3688 | − | 23.7630i | 2.41353 | − | 0.999715i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 2.73097 | + | 2.73097i | 0.114690 | + | 0.114690i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −1.48801 | + | 1.48801i | −0.0623805 | + | 0.0623805i | −0.737609 | − | 0.675228i | \(-0.764045\pi\) |
0.675228 | + | 0.737609i | \(0.264045\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 10.9476 | + | 26.4299i | 0.458145 | + | 1.10606i | 0.969148 | + | 0.246480i | \(0.0792740\pi\) |
−0.511003 | + | 0.859579i | \(0.670726\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 11.4344 | + | 4.73630i | 0.477680 | + | 0.197862i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 26.0040 | 1.08444 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 28.1723 | 1.17283 | 0.586413 | − | 0.810012i | \(-0.300539\pi\) | ||||
0.586413 | + | 0.810012i | \(0.300539\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 20.2647 | + | 8.39391i | 0.842172 | + | 0.348839i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −7.31261 | − | 17.6542i | −0.303378 | − | 0.732420i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 10.4825 | − | 10.4825i | 0.434143 | − | 0.434143i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 6.13268 | + | 6.13268i | 0.253555 | + | 0.253555i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 26.4589 | − | 10.9597i | 1.09208 | − | 0.452353i | 0.237347 | − | 0.971425i | \(-0.423722\pi\) |
0.854731 | + | 0.519072i | \(0.173722\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −2.29309 | + | 5.53601i | −0.0944851 | + | 0.228107i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 17.0573i | 0.701645i | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | − | 1.34616i | − | 0.0552802i | −0.999618 | − | 0.0276401i | \(-0.991201\pi\) | ||
0.999618 | − | 0.0276401i | \(-0.00879924\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −2.72205 | + | 6.57160i | −0.111593 | + | 0.269409i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −7.58160 | + | 3.14040i | −0.310294 | + | 0.128528i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 8.34761 | + | 8.34761i | 0.341074 | + | 0.341074i | 0.856771 | − | 0.515697i | \(-0.172467\pi\) |
−0.515697 | + | 0.856771i | \(0.672467\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −25.9145 | + | 25.9145i | −1.05707 | + | 1.05707i | −0.0588044 | + | 0.998270i | \(0.518729\pi\) |
−0.998270 | + | 0.0588044i | \(0.981271\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −4.61070 | − | 11.1312i | −0.187762 | − | 0.453298i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −1.12593 | − | 0.466374i | −0.0457754 | − | 0.0189608i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 2.09569 | 0.0850615 | 0.0425307 | − | 0.999095i | \(-0.486458\pi\) | ||||
0.0425307 | + | 0.999095i | \(0.486458\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 29.6413 | 1.20112 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −10.5234 | − | 4.35894i | −0.425732 | − | 0.176344i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −8.75402 | − | 21.1341i | −0.353572 | − | 0.853597i | −0.996174 | − | 0.0873972i | \(-0.972145\pi\) |
0.642602 | − | 0.766200i | \(-0.277855\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 11.4485 | − | 11.4485i | 0.461647 | − | 0.461647i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 7.54724 | + | 7.54724i | 0.303841 | + | 0.303841i | 0.842514 | − | 0.538674i | \(-0.181074\pi\) |
−0.538674 | + | 0.842514i | \(0.681074\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −30.8044 | + | 12.7596i | −1.23813 | + | 0.512851i | −0.903130 | − | 0.429366i | \(-0.858737\pi\) |
−0.335002 | + | 0.942217i | \(0.608737\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 1.29774 | − | 3.13303i | 0.0520766 | − | 0.125724i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 14.7888i | 0.592502i | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 4.54021i | 0.181608i | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 4.98630 | − | 12.0380i | 0.199134 | − | 0.480751i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 4.25756 | − | 1.76354i | 0.169760 | − | 0.0703169i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −4.03006 | − | 4.03006i | −0.160434 | − | 0.160434i | 0.622325 | − | 0.782759i | \(-0.286188\pi\) |
−0.782759 | + | 0.622325i | \(0.786188\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −14.1436 | + | 14.1436i | −0.562156 | + | 0.562156i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −2.51696 | − | 6.07648i | −0.0998825 | − | 0.241138i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −17.8217 | − | 7.38198i | −0.706120 | − | 0.292485i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −2.63920 | −0.104405 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 10.3489 | 0.408757 | 0.204378 | − | 0.978892i | \(-0.434483\pi\) | ||||
0.204378 | + | 0.978892i | \(0.434483\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 8.10100 | + | 3.35554i | 0.319472 | + | 0.132330i | 0.536656 | − | 0.843801i | \(-0.319687\pi\) |
−0.217184 | + | 0.976131i | \(0.569687\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 1.93642 | + | 4.67493i | 0.0762464 | + | 0.184075i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −20.0358 | + | 20.0358i | −0.787689 | + | 0.787689i | −0.981115 | − | 0.193426i | \(-0.938040\pi\) |
0.193426 | + | 0.981115i | \(0.438040\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −4.10712 | − | 4.10712i | −0.161219 | − | 0.161219i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 5.35696 | − | 2.21893i | 0.209956 | − | 0.0869666i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 11.1811 | − | 26.9936i | 0.437552 | − | 1.05634i | −0.539240 | − | 0.842152i | \(-0.681289\pi\) |
0.976792 | − | 0.214191i | \(-0.0687115\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 29.2540i | 1.14305i | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | − | 12.8249i | − | 0.500348i | ||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 10.0306 | − | 24.2161i | 0.390738 | − | 0.943325i | −0.599041 | − | 0.800718i | \(-0.704451\pi\) |
0.989779 | − | 0.142607i | \(-0.0455486\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −13.8010 | + | 5.71657i | −0.536798 | + | 0.222349i | −0.634578 | − | 0.772859i | \(-0.718826\pi\) |
0.0977799 | + | 0.995208i | \(0.468826\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0.891582 | + | 0.891582i | 0.0346262 | + | 0.0346262i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −38.7956 | + | 38.7956i | −1.50443 | + | 1.50443i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −9.95988 | − | 24.0453i | −0.385648 | − | 0.931037i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 26.8639 | + | 11.1274i | 1.03862 | + | 0.430210i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −23.7275 | −0.915990 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 31.4646 | 1.21287 | 0.606436 | − | 0.795132i | \(-0.292599\pi\) | ||||
0.606436 | + | 0.795132i | \(0.292599\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −7.08445 | − | 2.93447i | −0.272681 | − | 0.112948i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −6.25070 | − | 15.0905i | −0.240234 | − | 0.579976i | 0.757072 | − | 0.653332i | \(-0.226629\pi\) |
−0.997306 | + | 0.0733553i | \(0.976629\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 10.1945 | − | 10.1945i | 0.391229 | − | 0.391229i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −17.8011 | − | 17.8011i | −0.682141 | − | 0.682141i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 13.3397 | − | 5.52548i | 0.510429 | − | 0.211426i | −0.112578 | − | 0.993643i | \(-0.535911\pi\) |
0.623007 | + | 0.782216i | \(0.285911\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −15.3826 | + | 37.1370i | −0.587740 | + | 1.41893i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 7.64991i | 0.291862i | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 11.0652i | 0.421552i | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 9.47463 | − | 22.8738i | 0.360432 | − | 0.870160i | −0.634805 | − | 0.772673i | \(-0.718919\pi\) |
0.995237 | − | 0.0974874i | \(-0.0310806\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −11.6487 | + | 4.82504i | −0.442496 | + | 0.183288i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −4.14777 | − | 4.14777i | −0.157334 | − | 0.157334i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 1.66441 | − | 1.66441i | 0.0630439 | − | 0.0630439i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 7.08278 | + | 17.0993i | 0.267895 | + | 0.646756i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −5.36748 | − | 2.22328i | −0.202727 | − | 0.0839723i | 0.279010 | − | 0.960288i | \(-0.409994\pi\) |
−0.481737 | + | 0.876316i | \(0.659994\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 35.5457 | 1.34063 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 16.6376 | 0.626607 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −59.3898 | − | 24.6001i | −2.23358 | − | 0.925180i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −14.4269 | − | 34.8295i | −0.541812 | − | 1.30805i | −0.923443 | − | 0.383735i | \(-0.874638\pi\) |
0.381631 | − | 0.924315i | \(-0.375362\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −7.38305 | + | 7.38305i | −0.276886 | + | 0.276886i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −3.60003 | − | 3.60003i | −0.134822 | − | 0.134822i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −26.1583 | + | 10.8351i | −0.978266 | + | 0.405211i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 1.57248 | − | 3.79630i | 0.0587254 | − | 0.141776i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 38.6849i | 1.44270i | 0.692569 | + | 0.721351i | \(0.256479\pi\) | ||||
−0.692569 | + | 0.721351i | \(0.743521\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | − | 40.5409i | − | 1.50982i | ||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −5.43963 | + | 13.1324i | −0.202302 | + | 0.488400i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −54.3715 | + | 22.5214i | −2.01931 | + | 0.836425i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 31.8871 | + | 31.8871i | 1.18263 | + | 1.18263i | 0.979061 | + | 0.203566i | \(0.0652532\pi\) |
0.203566 | + | 0.979061i | \(0.434747\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −0.707107 | + | 0.707107i | −0.0261891 | + | 0.0261891i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0.281521 | + | 0.679651i | 0.0104124 | + | 0.0251378i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −18.4333 | − | 7.63532i | −0.680849 | − | 0.282017i | 0.0153326 | − | 0.999882i | \(-0.495119\pi\) |
−0.696182 | + | 0.717865i | \(0.745119\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 28.1761 | 1.03929 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 39.3330 | 1.44885 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 19.0069 | + | 7.87292i | 0.699180 | + | 0.289610i | 0.703819 | − | 0.710379i | \(-0.251477\pi\) |
−0.00463865 | + | 0.999989i | \(0.501477\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 3.72184 | + | 8.98531i | 0.136725 | + | 0.330084i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 17.5266 | − | 17.5266i | 0.642987 | − | 0.642987i | −0.308302 | − | 0.951289i | \(-0.599761\pi\) |
0.951289 | + | 0.308302i | \(0.0997606\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −10.4880 | − | 10.4880i | −0.384250 | − | 0.384250i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 4.57106 | − | 1.89340i | 0.167246 | − | 0.0692757i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −12.5636 | + | 30.3313i | −0.459065 | + | 1.10828i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 40.4908i | − | 1.47753i | −0.673963 | − | 0.738765i | \(-0.735409\pi\) | ||
0.673963 | − | 0.738765i | \(-0.264591\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | − | 6.19031i | − | 0.225587i | ||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −0.788695 | + | 1.90408i | −0.0287035 | + | 0.0692965i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −29.7102 | + | 12.3064i | −1.07984 | + | 0.447283i | −0.850452 | − | 0.526053i | \(-0.823671\pi\) |
−0.229385 | + | 0.973336i | \(0.573671\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 7.82823 | + | 7.82823i | 0.284147 | + | 0.284147i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −15.8052 | + | 15.8052i | −0.572939 | + | 0.572939i | −0.932949 | − | 0.360010i | \(-0.882773\pi\) |
0.360010 | + | 0.932949i | \(0.382773\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −12.8621 | − | 31.0519i | −0.465640 | − | 1.12415i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −1.70153 | − | 0.704798i | −0.0615190 | − | 0.0254820i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 4.33542 | 0.156543 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 2.99003 | 0.107823 | 0.0539116 | − | 0.998546i | \(-0.482831\pi\) | ||||
0.0539116 | + | 0.998546i | \(0.482831\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −7.65149 | − | 3.16935i | −0.275562 | − | 0.114141i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 1.59236 | + | 3.84429i | 0.0572731 | + | 0.138269i | 0.949926 | − | 0.312476i | \(-0.101158\pi\) |
−0.892653 | + | 0.450745i | \(0.851158\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −8.14044 | + | 8.14044i | −0.292413 | + | 0.292413i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −24.3217 | − | 24.3217i | −0.872535 | − | 0.872535i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 16.7738 | − | 6.94792i | 0.600983 | − | 0.248935i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 3.29718 | − | 7.96009i | 0.117982 | − | 0.284834i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 7.67477i | 0.274274i | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | − | 46.7908i | − | 1.67003i | ||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −3.14740 | + | 7.59851i | −0.112193 | + | 0.270857i | −0.969996 | − | 0.243121i | \(-0.921829\pi\) |
0.857803 | + | 0.513978i | \(0.171829\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −20.1299 | + | 8.33809i | −0.716645 | + | 0.296844i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −47.6453 | − | 47.6453i | −1.69407 | − | 1.69407i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 12.5232 | − | 12.5232i | 0.444712 | − | 0.444712i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −6.18513 | − | 14.9322i | −0.219364 | − | 0.529591i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −13.9175 | − | 5.76480i | −0.492982 | − | 0.204200i | 0.122321 | − | 0.992491i | \(-0.460966\pi\) |
−0.615303 | + | 0.788291i | \(0.710966\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 2.41881 | 0.0855712 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −3.82915 | −0.135297 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 38.6812 | + | 16.0223i | 1.36503 | + | 0.565413i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −17.8393 | − | 43.0678i | −0.628751 | − | 1.51794i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −5.72608 | + | 5.72608i | −0.201568 | + | 0.201568i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 30.4595 | + | 30.4595i | 1.07090 | + | 1.07090i | 0.997287 | + | 0.0736122i | \(0.0234527\pi\) |
0.0736122 | + | 0.997287i | \(0.476547\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −19.1190 | + | 7.91934i | −0.671358 | + | 0.278086i | −0.692209 | − | 0.721697i | \(-0.743362\pi\) |
0.0208509 | + | 0.999783i | \(0.493362\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 11.0149 | − | 26.5922i | 0.386308 | − | 0.932631i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 60.1204i | 2.10593i | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 5.67430i | 0.198519i | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 3.60147 | − | 8.69471i | 0.125845 | − | 0.303818i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 32.8139 | − | 13.5920i | 1.14521 | − | 0.474363i | 0.272287 | − | 0.962216i | \(-0.412220\pi\) |
0.872926 | + | 0.487853i | \(0.162220\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −5.67489 | − | 5.67489i | −0.197814 | − | 0.197814i | 0.601248 | − | 0.799062i | \(-0.294670\pi\) |
−0.799062 | + | 0.601248i | \(0.794670\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 17.7013 | − | 17.7013i | 0.616280 | − | 0.616280i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −21.2654 | − | 51.3392i | −0.739471 | − | 1.78524i | −0.608027 | − | 0.793916i | \(-0.708039\pi\) |
−0.131443 | − | 0.991324i | \(-0.541961\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −14.6369 | − | 6.06280i | −0.508361 | − | 0.210570i | 0.113735 | − | 0.993511i | \(-0.463719\pi\) |
−0.622096 | + | 0.782941i | \(0.713719\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −13.1527 | −0.456263 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 4.09631 | 0.141929 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 17.0122 | + | 7.04668i | 0.588731 | + | 0.243860i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0.574529 | + | 1.38704i | 0.0198586 | + | 0.0479430i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 39.7201 | − | 39.7201i | 1.37129 | − | 1.37129i | 0.512756 | − | 0.858535i | \(-0.328625\pi\) |
0.858535 | − | 0.512756i | \(-0.171375\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 21.1440 | + | 21.1440i | 0.729103 | + | 0.729103i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −28.2618 | + | 11.7064i | −0.973387 | + | 0.403190i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −9.61931 | + | 23.2231i | −0.330914 | + | 0.798898i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 1.32242i | 0.0454389i | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 29.9928i | 1.02935i | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −11.5576 | + | 27.9024i | −0.396188 | + | 0.956482i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 17.7015 | − | 7.33222i | 0.606089 | − | 0.251050i | −0.0584662 | − | 0.998289i | \(-0.518621\pi\) |
0.664555 | + | 0.747239i | \(0.268621\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −10.0450 | − | 10.0450i | −0.343533 | − | 0.343533i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 34.8578 | − | 34.8578i | 1.19072 | − | 1.19072i | 0.213853 | − | 0.976866i | \(-0.431399\pi\) |
0.976866 | − | 0.213853i | \(-0.0686015\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −13.9729 | − | 33.7335i | −0.476748 | − | 1.15097i | −0.961125 | − | 0.276112i | \(-0.910954\pi\) |
0.484378 | − | 0.874859i | \(-0.339046\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −16.2313 | − | 6.72321i | −0.553160 | − | 0.229127i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −35.2947 | −1.20144 | −0.600722 | − | 0.799458i | \(-0.705120\pi\) | ||||
−0.600722 | + | 0.799458i | \(0.705120\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −43.6916 | −1.48556 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 15.4586 | + | 6.40315i | 0.525001 | + | 0.217462i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −13.0443 | − | 31.4917i | −0.442497 | − | 1.06828i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −20.7597 | + | 20.7597i | −0.703414 | + | 0.703414i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 2.63958 | + | 2.63958i | 0.0893363 | + | 0.0893363i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −33.8855 | + | 14.0358i | −1.14554 | + | 0.474498i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −3.81781 | + | 9.21700i | −0.128918 | + | 0.311236i | −0.975138 | − | 0.221598i | \(-0.928873\pi\) |
0.846220 | + | 0.532834i | \(0.178873\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | − | 4.81487i | − | 0.162402i | ||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 20.1037i | − | 0.677312i | −0.940910 | − | 0.338656i | \(-0.890028\pi\) | ||
0.940910 | − | 0.338656i | \(-0.109972\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 9.85279 | − | 23.7867i | 0.331573 | − | 0.800487i | −0.666895 | − | 0.745152i | \(-0.732377\pi\) |
0.998468 | − | 0.0553357i | \(-0.0176229\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −5.85053 | + | 2.42337i | −0.196663 | + | 0.0814607i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −14.1672 | − | 14.1672i | −0.475688 | − | 0.475688i | 0.428062 | − | 0.903749i | \(-0.359197\pi\) |
−0.903749 | + | 0.428062i | \(0.859197\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −5.04657 | + | 5.04657i | −0.169256 | + | 0.169256i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −1.24931 | − | 3.01609i | −0.0418534 | − | 0.101043i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 17.2368 | + | 7.13973i | 0.576809 | + | 0.238922i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −21.0709 | −0.704322 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −8.26337 | −0.275906 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 10.6452 | + | 4.40938i | 0.355037 | + | 0.147061i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −0.899208 | − | 2.17088i | −0.0299569 | − | 0.0723225i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 3.88257 | − | 3.88257i | 0.129204 | − | 0.129204i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −39.7080 | − | 39.7080i | −1.31994 | − | 1.31994i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 1.27402 | − | 0.527716i | 0.0423031 | − | 0.0175225i | −0.361432 | − | 0.932399i | \(-0.617712\pi\) |
0.403735 | + | 0.914876i | \(0.367712\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 6.36949 | − | 15.3773i | 0.211263 | − | 0.510033i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 3.64101i | − | 0.120632i | −0.998179 | − | 0.0603161i | \(-0.980789\pi\) | ||
0.998179 | − | 0.0603161i | \(-0.0192109\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 16.1522i | 0.534560i | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −9.89962 | + | 23.8998i | −0.327271 | + | 0.790103i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 29.3275 | − | 12.1478i | 0.968479 | − | 0.401157i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −16.8542 | − | 16.8542i | −0.555970 | − | 0.555970i | 0.372187 | − | 0.928158i | \(-0.378608\pi\) |
−0.928158 | + | 0.372187i | \(0.878608\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −21.6932 | + | 21.6932i | −0.714815 | + | 0.714815i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 2.46105 | + | 5.94151i | 0.0810065 | + | 0.195567i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 63.0933 | + | 26.1341i | 2.07450 | + | 0.859284i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 10.4969 | 0.344764 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −29.1718 | −0.957096 | −0.478548 | − | 0.878061i | \(-0.658837\pi\) | ||||
−0.478548 | + | 0.878061i | \(0.658837\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 29.1910 | + | 12.0913i | 0.956697 | + | 0.396277i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −6.28440 | − | 15.1719i | −0.205742 | − | 0.496705i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 4.25147 | − | 4.25147i | 0.139038 | − | 0.139038i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 16.6591 | + | 16.6591i | 0.544230 | + | 0.544230i | 0.924766 | − | 0.380536i | \(-0.124261\pi\) |
−0.380536 | + | 0.924766i | \(0.624261\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −8.94223 | + | 3.70399i | −0.291819 | + | 0.120875i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 2.44955 | − | 5.91373i | 0.0798529 | − | 0.192782i | −0.878911 | − | 0.476986i | \(-0.841729\pi\) |
0.958764 | + | 0.284204i | \(0.0917293\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 15.4261i | 0.502342i | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 13.7464i | 0.447169i | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 4.96711 | − | 11.9917i | 0.161409 | − | 0.389676i | −0.822396 | − | 0.568915i | \(-0.807363\pi\) |
0.983806 | + | 0.179238i | \(0.0573634\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −28.8721 | + | 11.9592i | −0.937228 | + | 0.388212i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −18.1235 | − | 18.1235i | −0.587694 | − | 0.587694i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −6.25983 | + | 6.25983i | −0.202776 | + | 0.202776i | −0.801188 | − | 0.598412i | \(-0.795798\pi\) |
0.598412 | + | 0.801188i | \(0.295798\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 16.8576 | + | 40.6978i | 0.545499 | + | 1.31695i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −23.1478 | − | 9.58815i | −0.748263 | − | 0.309941i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 43.6180 | 1.40850 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −28.7460 | −0.927292 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −7.85343 | − | 3.25300i | −0.253073 | − | 0.104826i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 29.8759 | + | 72.1268i | 0.961739 | + | 2.32184i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −4.21628 | + | 4.21628i | −0.135586 | + | 0.135586i | −0.771643 | − | 0.636056i | \(-0.780565\pi\) |
0.636056 | + | 0.771643i | \(0.280565\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −1.46037 | − | 1.46037i | −0.0469138 | − | 0.0469138i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 35.3365 | − | 14.6369i | 1.13400 | − | 0.469720i | 0.264864 | − | 0.964286i | \(-0.414673\pi\) |
0.869140 | + | 0.494566i | \(0.164673\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −2.43582 | + | 5.88058i | −0.0780887 | + | 0.188523i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 18.6853i | 0.598407i | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 60.3138i | 1.92961i | 0.262970 | + | 0.964804i | \(0.415298\pi\) | ||||
−0.262970 | + | 0.964804i | \(0.584702\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 4.78379 | − | 11.5491i | 0.152891 | − | 0.369111i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 8.04001 | − | 3.33028i | 0.256698 | − | 0.106328i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −38.0148 | − | 38.0148i | −1.21248 | − | 1.21248i | −0.970207 | − | 0.242277i | \(-0.922106\pi\) |
−0.242277 | − | 0.970207i | \(-0.577894\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −42.9292 | + | 42.9292i | −1.36784 | + | 1.36784i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −6.90882 | − | 16.6794i | −0.219910 | − | 0.530910i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −4.45417 | − | 1.84498i | −0.141634 | − | 0.0586669i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −51.7734 | −1.64464 | −0.822319 | − | 0.569027i | \(-0.807320\pi\) | ||||
−0.822319 | + | 0.569027i | \(0.807320\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 23.4995 | 0.745733 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −26.9847 | − | 11.1774i | −0.855472 | − | 0.354348i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 13.2018 | + | 31.8719i | 0.418105 | + | 1.00939i | 0.982896 | + | 0.184161i | \(0.0589567\pi\) |
−0.564791 | + | 0.825234i | \(0.691043\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 6.29742 | − | 6.29742i | 0.199241 | − | 0.199241i |
(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.337.8 | 32 | ||
3.2 | odd | 2 | 1152.2.v.c.721.1 | 32 | |||
4.3 | odd | 2 | 96.2.n.a.61.5 | ✓ | 32 | ||
8.3 | odd | 2 | 768.2.n.a.673.5 | 32 | |||
8.5 | even | 2 | 768.2.n.b.673.1 | 32 | |||
12.11 | even | 2 | 288.2.v.d.253.4 | 32 | |||
32.5 | even | 8 | 768.2.n.b.97.1 | 32 | |||
32.11 | odd | 8 | 96.2.n.a.85.5 | yes | 32 | ||
32.21 | even | 8 | inner | 384.2.n.a.49.8 | 32 | ||
32.27 | odd | 8 | 768.2.n.a.97.5 | 32 | |||
96.11 | even | 8 | 288.2.v.d.181.4 | 32 | |||
96.53 | odd | 8 | 1152.2.v.c.433.1 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
96.2.n.a.61.5 | ✓ | 32 | 4.3 | odd | 2 | ||
96.2.n.a.85.5 | yes | 32 | 32.11 | odd | 8 | ||
288.2.v.d.181.4 | 32 | 96.11 | even | 8 | |||
288.2.v.d.253.4 | 32 | 12.11 | even | 2 | |||
384.2.n.a.49.8 | 32 | 32.21 | even | 8 | inner | ||
384.2.n.a.337.8 | 32 | 1.1 | even | 1 | trivial | ||
768.2.n.a.97.5 | 32 | 32.27 | odd | 8 | |||
768.2.n.a.673.5 | 32 | 8.3 | odd | 2 | |||
768.2.n.b.97.1 | 32 | 32.5 | even | 8 | |||
768.2.n.b.673.1 | 32 | 8.5 | even | 2 | |||
1152.2.v.c.433.1 | 32 | 96.53 | odd | 8 | |||
1152.2.v.c.721.1 | 32 | 3.2 | odd | 2 |