Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [722,2,Mod(99,722)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(722, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("722.99");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 722 = 2 \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 722.e (of order \(9\), degree \(6\), 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: | \(5.76519902594\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 423.1 | ||
Character | \(\chi\) | \(=\) | 722.423 |
Dual form | 722.2.e.r.99.1 |
$q$-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 \(\left(\mathbb{Z}/722\mathbb{Z}\right)^\times\).
\(n\) | \(363\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.939693 | + | 0.342020i | −0.664463 | + | 0.241845i | ||||
\(3\) | −0.437619 | + | 2.48186i | −0.252659 | + | 1.43290i | 0.549351 | + | 0.835592i | \(0.314875\pi\) |
−0.802010 | + | 0.597311i | \(0.796236\pi\) | |||||||
\(4\) | 0.766044 | − | 0.642788i | 0.383022 | − | 0.321394i | ||||
\(5\) | −1.88420 | − | 1.58103i | −0.842640 | − | 0.707059i | 0.115516 | − | 0.993306i | \(-0.463148\pi\) |
−0.958156 | + | 0.286247i | \(0.907592\pi\) | |||||||
\(6\) | −0.437619 | − | 2.48186i | −0.178657 | − | 1.01322i | ||||
\(7\) | 1.39680 | + | 2.41933i | 0.527942 | + | 0.914422i | 0.999469 | + | 0.0325705i | \(0.0103694\pi\) |
−0.471528 | + | 0.881851i | \(0.656297\pi\) | |||||||
\(8\) | −0.500000 | + | 0.866025i | −0.176777 | + | 0.306186i | ||||
\(9\) | −3.14904 | − | 1.14616i | −1.04968 | − | 0.382053i | ||||
\(10\) | 2.31131 | + | 0.841250i | 0.730902 | + | 0.266027i | ||||
\(11\) | 0.839266 | − | 1.45365i | 0.253048 | − | 0.438292i | −0.711315 | − | 0.702873i | \(-0.751900\pi\) |
0.964364 | + | 0.264581i | \(0.0852336\pi\) | |||||||
\(12\) | 1.26007 | + | 2.18251i | 0.363752 | + | 0.630037i | ||||
\(13\) | 1.10172 | + | 6.24819i | 0.305563 | + | 1.73294i | 0.620841 | + | 0.783936i | \(0.286791\pi\) |
−0.315278 | + | 0.948999i | \(0.602098\pi\) | |||||||
\(14\) | −2.14003 | − | 1.79569i | −0.571946 | − | 0.479920i | ||||
\(15\) | 4.74846 | − | 3.98443i | 1.22605 | − | 1.02878i | ||||
\(16\) | 0.173648 | − | 0.984808i | 0.0434120 | − | 0.246202i | ||||
\(17\) | −4.66950 | + | 1.69956i | −1.13252 | + | 0.412203i | −0.839206 | − | 0.543813i | \(-0.816980\pi\) |
−0.293313 | + | 0.956016i | \(0.594758\pi\) | |||||||
\(18\) | 3.35114 | 0.789872 | ||||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | −2.45965 | −0.549994 | ||||||||
\(21\) | −6.61571 | + | 2.40792i | −1.44367 | + | 0.525452i | ||||
\(22\) | −0.291474 | + | 1.65303i | −0.0621425 | + | 0.352427i | ||||
\(23\) | −1.91427 | + | 1.60626i | −0.399153 | + | 0.334929i | −0.820166 | − | 0.572125i | \(-0.806119\pi\) |
0.421013 | + | 0.907055i | \(0.361675\pi\) | |||||||
\(24\) | −1.93054 | − | 1.61992i | −0.394071 | − | 0.330665i | ||||
\(25\) | 0.182309 | + | 1.03393i | 0.0364618 | + | 0.206785i | ||||
\(26\) | −3.17229 | − | 5.49456i | −0.622137 | − | 1.07757i | ||||
\(27\) | 0.442463 | − | 0.766369i | 0.0851521 | − | 0.147488i | ||||
\(28\) | 2.62513 | + | 0.955469i | 0.496103 | + | 0.180567i | ||||
\(29\) | −5.57406 | − | 2.02879i | −1.03508 | − | 0.376737i | −0.232065 | − | 0.972700i | \(-0.574548\pi\) |
−0.803012 | + | 0.595964i | \(0.796770\pi\) | |||||||
\(30\) | −3.09934 | + | 5.36821i | −0.565859 | + | 0.980097i | ||||
\(31\) | −3.64204 | − | 6.30820i | −0.654130 | − | 1.13299i | −0.982111 | − | 0.188302i | \(-0.939702\pi\) |
0.327982 | − | 0.944684i | \(-0.393632\pi\) | |||||||
\(32\) | 0.173648 | + | 0.984808i | 0.0306970 | + | 0.174091i | ||||
\(33\) | 3.24048 | + | 2.71909i | 0.564095 | + | 0.473332i | ||||
\(34\) | 3.80661 | − | 3.19412i | 0.652828 | − | 0.547788i | ||||
\(35\) | 1.19319 | − | 6.76690i | 0.201685 | − | 1.14381i | ||||
\(36\) | −3.14904 | + | 1.14616i | −0.524840 | + | 0.191026i | ||||
\(37\) | 0.550972 | 0.0905792 | 0.0452896 | − | 0.998974i | \(-0.485579\pi\) | ||||
0.0452896 | + | 0.998974i | \(0.485579\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −15.9893 | −2.56033 | ||||||||
\(40\) | 2.31131 | − | 0.841250i | 0.365451 | − | 0.133013i | ||||
\(41\) | −0.452772 | + | 2.56780i | −0.0707112 | + | 0.401023i | 0.928824 | + | 0.370522i | \(0.120821\pi\) |
−0.999535 | + | 0.0305007i | \(0.990290\pi\) | |||||||
\(42\) | 5.39318 | − | 4.52541i | 0.832185 | − | 0.698287i | ||||
\(43\) | 2.19953 | + | 1.84563i | 0.335426 | + | 0.281456i | 0.794906 | − | 0.606732i | \(-0.207520\pi\) |
−0.459481 | + | 0.888188i | \(0.651964\pi\) | |||||||
\(44\) | −0.291474 | − | 1.65303i | −0.0439413 | − | 0.249204i | ||||
\(45\) | 4.12132 | + | 7.13833i | 0.614370 | + | 1.06412i | ||||
\(46\) | 1.24945 | − | 2.16411i | 0.184222 | − | 0.319081i | ||||
\(47\) | −0.700629 | − | 0.255008i | −0.102197 | − | 0.0371967i | 0.290416 | − | 0.956901i | \(-0.406206\pi\) |
−0.392613 | + | 0.919704i | \(0.628429\pi\) | |||||||
\(48\) | 2.36816 | + | 0.861941i | 0.341815 | + | 0.124410i | ||||
\(49\) | −0.402113 | + | 0.696480i | −0.0574447 | + | 0.0994972i | ||||
\(50\) | −0.524938 | − | 0.909219i | −0.0742374 | − | 0.128583i | ||||
\(51\) | −2.17461 | − | 12.3328i | −0.304506 | − | 1.72694i | ||||
\(52\) | 4.86023 | + | 4.07822i | 0.673992 | + | 0.565547i | ||||
\(53\) | −1.12629 | + | 0.945072i | −0.154708 | + | 0.129816i | −0.716856 | − | 0.697221i | \(-0.754420\pi\) |
0.562148 | + | 0.827037i | \(0.309975\pi\) | |||||||
\(54\) | −0.153666 | + | 0.871483i | −0.0209113 | + | 0.118594i | ||||
\(55\) | −3.87961 | + | 1.41206i | −0.523127 | + | 0.190403i | ||||
\(56\) | −2.79360 | −0.373311 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 5.93179 | 0.778882 | ||||||||
\(59\) | 4.66333 | − | 1.69731i | 0.607114 | − | 0.220971i | −0.0201262 | − | 0.999797i | \(-0.506407\pi\) |
0.627240 | + | 0.778826i | \(0.284185\pi\) | |||||||
\(60\) | 1.07639 | − | 6.10451i | 0.138961 | − | 0.788088i | ||||
\(61\) | 7.15245 | − | 6.00162i | 0.915777 | − | 0.768428i | −0.0574320 | − | 0.998349i | \(-0.518291\pi\) |
0.973209 | + | 0.229921i | \(0.0738468\pi\) | |||||||
\(62\) | 5.57993 | + | 4.68212i | 0.708652 | + | 0.594629i | ||||
\(63\) | −1.62565 | − | 9.21954i | −0.204813 | − | 1.16155i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 7.80272 | − | 13.5147i | 0.967808 | − | 1.67629i | ||||
\(66\) | −3.97504 | − | 1.44680i | −0.489293 | − | 0.178088i | ||||
\(67\) | −10.8633 | − | 3.95390i | −1.32716 | − | 0.483046i | −0.421413 | − | 0.906869i | \(-0.638466\pi\) |
−0.905745 | + | 0.423822i | \(0.860688\pi\) | |||||||
\(68\) | −2.48459 | + | 4.30343i | −0.301300 | + | 0.521868i | ||||
\(69\) | −3.14880 | − | 5.45389i | −0.379071 | − | 0.656571i | ||||
\(70\) | 1.19319 | + | 6.76690i | 0.142613 | + | 0.808799i | ||||
\(71\) | −5.36000 | − | 4.49757i | −0.636115 | − | 0.533764i | 0.266707 | − | 0.963778i | \(-0.414064\pi\) |
−0.902822 | + | 0.430014i | \(0.858509\pi\) | |||||||
\(72\) | 2.56712 | − | 2.15407i | 0.302538 | − | 0.253860i | ||||
\(73\) | −1.07422 | + | 6.09221i | −0.125728 | + | 0.713039i | 0.855145 | + | 0.518389i | \(0.173468\pi\) |
−0.980873 | + | 0.194650i | \(0.937643\pi\) | |||||||
\(74\) | −0.517744 | + | 0.188444i | −0.0601866 | + | 0.0219061i | ||||
\(75\) | −2.64584 | −0.305515 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 4.68915 | 0.534379 | ||||||||
\(78\) | 15.0250 | − | 5.46865i | 1.70125 | − | 0.619203i | ||||
\(79\) | −1.02654 | + | 5.82177i | −0.115494 | + | 0.655001i | 0.871010 | + | 0.491265i | \(0.163465\pi\) |
−0.986504 | + | 0.163735i | \(0.947646\pi\) | |||||||
\(80\) | −1.88420 | + | 1.58103i | −0.210660 | + | 0.176765i | ||||
\(81\) | −5.99298 | − | 5.02871i | −0.665886 | − | 0.558745i | ||||
\(82\) | −0.452772 | − | 2.56780i | −0.0500003 | − | 0.283566i | ||||
\(83\) | −7.58866 | − | 13.1439i | −0.832964 | − | 1.44274i | −0.895678 | − | 0.444704i | \(-0.853309\pi\) |
0.0627138 | − | 0.998032i | \(-0.480024\pi\) | |||||||
\(84\) | −3.52015 | + | 6.09707i | −0.384080 | + | 0.665245i | ||||
\(85\) | 11.4853 | + | 4.18032i | 1.24576 | + | 0.453419i | ||||
\(86\) | −2.69813 | − | 0.982038i | −0.290947 | − | 0.105896i | ||||
\(87\) | 7.47449 | − | 12.9462i | 0.801349 | − | 1.38798i | ||||
\(88\) | 0.839266 | + | 1.45365i | 0.0894660 | + | 0.154960i | ||||
\(89\) | 1.19904 | + | 6.80011i | 0.127098 | + | 0.720811i | 0.980039 | + | 0.198803i | \(0.0637055\pi\) |
−0.852941 | + | 0.522007i | \(0.825183\pi\) | |||||||
\(90\) | −6.31422 | − | 5.29826i | −0.665578 | − | 0.558486i | ||||
\(91\) | −13.5776 | + | 11.3929i | −1.42331 | + | 1.19430i | ||||
\(92\) | −0.433930 | + | 2.46094i | −0.0452403 | + | 0.256571i | ||||
\(93\) | 17.2499 | − | 6.27845i | 1.78873 | − | 0.651045i | ||||
\(94\) | 0.745593 | 0.0769021 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −2.52015 | −0.257211 | ||||||||
\(97\) | −13.5197 | + | 4.92077i | −1.37272 | + | 0.499629i | −0.919963 | − | 0.392006i | \(-0.871781\pi\) |
−0.452756 | + | 0.891634i | \(0.649559\pi\) | |||||||
\(98\) | 0.139652 | − | 0.792008i | 0.0141070 | − | 0.0800049i | ||||
\(99\) | −4.30900 | + | 3.61568i | −0.433070 | + | 0.363389i | ||||
\(100\) | 0.804252 | + | 0.674847i | 0.0804252 | + | 0.0674847i | ||||
\(101\) | 1.95926 | + | 11.1115i | 0.194954 | + | 1.10564i | 0.912485 | + | 0.409111i | \(0.134161\pi\) |
−0.717531 | + | 0.696526i | \(0.754728\pi\) | |||||||
\(102\) | 6.26153 | + | 10.8453i | 0.619983 | + | 1.07384i | ||||
\(103\) | −7.41399 | + | 12.8414i | −0.730522 | + | 1.26530i | 0.226138 | + | 0.974095i | \(0.427390\pi\) |
−0.956660 | + | 0.291206i | \(0.905943\pi\) | |||||||
\(104\) | −5.96195 | − | 2.16997i | −0.584617 | − | 0.212783i | ||||
\(105\) | 16.2723 | + | 5.92265i | 1.58802 | + | 0.577991i | ||||
\(106\) | 0.735136 | − | 1.27329i | 0.0714027 | − | 0.123673i | ||||
\(107\) | 1.41424 | + | 2.44954i | 0.136720 | + | 0.236806i | 0.926253 | − | 0.376902i | \(-0.123011\pi\) |
−0.789533 | + | 0.613708i | \(0.789677\pi\) | |||||||
\(108\) | −0.153666 | − | 0.871483i | −0.0147865 | − | 0.0838585i | ||||
\(109\) | 1.32173 | + | 1.10906i | 0.126598 | + | 0.106229i | 0.703889 | − | 0.710310i | \(-0.251445\pi\) |
−0.577290 | + | 0.816539i | \(0.695890\pi\) | |||||||
\(110\) | 3.16269 | − | 2.65381i | 0.301551 | − | 0.253031i | ||||
\(111\) | −0.241116 | + | 1.36744i | −0.0228857 | + | 0.129791i | ||||
\(112\) | 2.62513 | − | 0.955469i | 0.248051 | − | 0.0902833i | ||||
\(113\) | −0.427785 | −0.0402426 | −0.0201213 | − | 0.999798i | \(-0.506405\pi\) | ||||
−0.0201213 | + | 0.999798i | \(0.506405\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 6.14643 | 0.573157 | ||||||||
\(116\) | −5.57406 | + | 2.02879i | −0.517538 | + | 0.188368i | ||||
\(117\) | 3.69203 | − | 20.9386i | 0.341329 | − | 1.93577i | ||||
\(118\) | −3.80158 | + | 3.18990i | −0.349964 | + | 0.293655i | ||||
\(119\) | −10.6342 | − | 8.92312i | −0.974832 | − | 0.817981i | ||||
\(120\) | 1.07639 | + | 6.10451i | 0.0982604 | + | 0.557263i | ||||
\(121\) | 4.09127 | + | 7.08628i | 0.371933 | + | 0.644207i | ||||
\(122\) | −4.66843 | + | 8.08596i | −0.422660 | + | 0.732068i | ||||
\(123\) | −6.17478 | − | 2.24744i | −0.556761 | − | 0.202644i | ||||
\(124\) | −6.84480 | − | 2.49130i | −0.614681 | − | 0.223726i | ||||
\(125\) | −4.85796 | + | 8.41423i | −0.434509 | + | 0.752592i | ||||
\(126\) | 4.68088 | + | 8.10752i | 0.417006 | + | 0.722276i | ||||
\(127\) | −0.197319 | − | 1.11905i | −0.0175093 | − | 0.0992999i | 0.974801 | − | 0.223077i | \(-0.0716102\pi\) |
−0.992310 | + | 0.123777i | \(0.960499\pi\) | |||||||
\(128\) | 0.766044 | + | 0.642788i | 0.0677094 | + | 0.0568149i | ||||
\(129\) | −5.54315 | + | 4.65125i | −0.488047 | + | 0.409520i | ||||
\(130\) | −2.70986 | + | 15.3684i | −0.237670 | + | 1.34789i | ||||
\(131\) | 16.7655 | − | 6.10215i | 1.46481 | − | 0.533148i | 0.518125 | − | 0.855305i | \(-0.326630\pi\) |
0.946686 | + | 0.322157i | \(0.104408\pi\) | |||||||
\(132\) | 4.23015 | 0.368187 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 11.5604 | 0.998670 | ||||||||
\(135\) | −2.04534 | + | 0.744445i | −0.176035 | + | 0.0640716i | ||||
\(136\) | 0.862888 | − | 4.89368i | 0.0739921 | − | 0.419630i | ||||
\(137\) | −12.1921 | + | 10.2304i | −1.04164 | + | 0.874040i | −0.992190 | − | 0.124737i | \(-0.960191\pi\) |
−0.0494504 | + | 0.998777i | \(0.515747\pi\) | |||||||
\(138\) | 4.82425 | + | 4.04802i | 0.410667 | + | 0.344591i | ||||
\(139\) | 1.75735 | + | 9.96642i | 0.149056 | + | 0.845341i | 0.964020 | + | 0.265829i | \(0.0856457\pi\) |
−0.814964 | + | 0.579512i | \(0.803243\pi\) | |||||||
\(140\) | −3.43564 | − | 5.95071i | −0.290365 | − | 0.502927i | ||||
\(141\) | 0.939503 | − | 1.62727i | 0.0791204 | − | 0.137041i | ||||
\(142\) | 6.57501 | + | 2.39311i | 0.551763 | + | 0.200825i | ||||
\(143\) | 10.0073 | + | 3.64237i | 0.836854 | + | 0.304590i | ||||
\(144\) | −1.67557 | + | 2.90217i | −0.139631 | + | 0.241848i | ||||
\(145\) | 7.29506 | + | 12.6354i | 0.605821 | + | 1.04931i | ||||
\(146\) | −1.07422 | − | 6.09221i | −0.0889032 | − | 0.504195i | ||||
\(147\) | −1.55259 | − | 1.30278i | −0.128056 | − | 0.107452i | ||||
\(148\) | 0.422069 | − | 0.354158i | 0.0346939 | − | 0.0291116i | ||||
\(149\) | 1.63203 | − | 9.25573i | 0.133701 | − | 0.758259i | −0.842054 | − | 0.539394i | \(-0.818653\pi\) |
0.975755 | − | 0.218865i | \(-0.0702354\pi\) | |||||||
\(150\) | 2.48628 | − | 0.904931i | 0.203004 | − | 0.0738873i | ||||
\(151\) | −10.2632 | −0.835210 | −0.417605 | − | 0.908629i | \(-0.637130\pi\) | ||||
−0.417605 | + | 0.908629i | \(0.637130\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 16.6524 | 1.34627 | ||||||||
\(154\) | −4.40636 | + | 1.60378i | −0.355075 | + | 0.129237i | ||||
\(155\) | −3.11113 | + | 17.6441i | −0.249892 | + | 1.41721i | ||||
\(156\) | −12.2485 | + | 10.2777i | −0.980664 | + | 0.822875i | ||||
\(157\) | 2.27812 | + | 1.91157i | 0.181814 | + | 0.152560i | 0.729152 | − | 0.684351i | \(-0.239915\pi\) |
−0.547339 | + | 0.836911i | \(0.684359\pi\) | |||||||
\(158\) | −1.02654 | − | 5.82177i | −0.0816668 | − | 0.463155i | ||||
\(159\) | −1.85265 | − | 3.20888i | −0.146925 | − | 0.254481i | ||||
\(160\) | 1.22982 | − | 2.13012i | 0.0972262 | − | 0.168401i | ||||
\(161\) | −6.55995 | − | 2.38763i | −0.516996 | − | 0.188171i | ||||
\(162\) | 7.35148 | + | 2.67572i | 0.577586 | + | 0.210224i | ||||
\(163\) | −2.79595 | + | 4.84273i | −0.218996 | + | 0.379312i | −0.954501 | − | 0.298207i | \(-0.903612\pi\) |
0.735505 | + | 0.677519i | \(0.236945\pi\) | |||||||
\(164\) | 1.30371 | + | 2.25809i | 0.101802 | + | 0.176327i | ||||
\(165\) | −1.80675 | − | 10.2466i | −0.140656 | − | 0.797697i | ||||
\(166\) | 11.6265 | + | 9.75579i | 0.902392 | + | 0.757197i | ||||
\(167\) | −5.42636 | + | 4.55325i | −0.419904 | + | 0.352341i | −0.828127 | − | 0.560541i | \(-0.810593\pi\) |
0.408223 | + | 0.912882i | \(0.366149\pi\) | |||||||
\(168\) | 1.22253 | − | 6.93334i | 0.0943206 | − | 0.534918i | ||||
\(169\) | −25.6101 | + | 9.32130i | −1.97000 | + | 0.717023i | ||||
\(170\) | −12.2224 | −0.937418 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 2.87129 | 0.218934 | ||||||||
\(173\) | 21.6325 | − | 7.87358i | 1.64469 | − | 0.598617i | 0.656838 | − | 0.754032i | \(-0.271894\pi\) |
0.987849 | + | 0.155415i | \(0.0496715\pi\) | |||||||
\(174\) | −2.59586 | + | 14.7219i | −0.196792 | + | 1.11606i | ||||
\(175\) | −2.24676 | + | 1.88526i | −0.169839 | + | 0.142512i | ||||
\(176\) | −1.28583 | − | 1.07894i | −0.0969231 | − | 0.0813281i | ||||
\(177\) | 2.17173 | + | 12.3165i | 0.163237 | + | 0.925765i | ||||
\(178\) | −3.45251 | − | 5.97992i | −0.258776 | − | 0.448214i | ||||
\(179\) | −4.10736 | + | 7.11415i | −0.306998 | + | 0.531736i | −0.977704 | − | 0.209987i | \(-0.932658\pi\) |
0.670706 | + | 0.741723i | \(0.265991\pi\) | |||||||
\(180\) | 7.74554 | + | 2.81915i | 0.577319 | + | 0.210127i | ||||
\(181\) | 12.2159 | + | 4.44622i | 0.908001 | + | 0.330485i | 0.753454 | − | 0.657500i | \(-0.228386\pi\) |
0.154546 | + | 0.987986i | \(0.450608\pi\) | |||||||
\(182\) | 8.86212 | − | 15.3496i | 0.656904 | − | 1.13779i | ||||
\(183\) | 11.7651 | + | 20.3778i | 0.869703 | + | 1.50637i | ||||
\(184\) | −0.433930 | − | 2.46094i | −0.0319898 | − | 0.181423i | ||||
\(185\) | −1.03814 | − | 0.871105i | −0.0763257 | − | 0.0640449i | ||||
\(186\) | −14.0622 | + | 11.7996i | −1.03109 | + | 0.865190i | ||||
\(187\) | −1.44838 | + | 8.21420i | −0.105916 | + | 0.600682i | ||||
\(188\) | −0.700629 | + | 0.255008i | −0.0510986 | + | 0.0185984i | ||||
\(189\) | 2.47214 | 0.179821 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 6.57479 | 0.475735 | 0.237868 | − | 0.971298i | \(-0.423552\pi\) | ||||
0.237868 | + | 0.971298i | \(0.423552\pi\) | |||||||
\(192\) | 2.36816 | − | 0.861941i | 0.170907 | − | 0.0622052i | ||||
\(193\) | 4.66812 | − | 26.4742i | 0.336019 | − | 1.90566i | −0.0809193 | − | 0.996721i | \(-0.525786\pi\) |
0.416938 | − | 0.908935i | \(-0.363103\pi\) | |||||||
\(194\) | 11.0214 | − | 9.24803i | 0.791288 | − | 0.663970i | ||||
\(195\) | 30.1270 | + | 25.2795i | 2.15744 | + | 1.81031i | ||||
\(196\) | 0.139652 | + | 0.792008i | 0.00997517 | + | 0.0565720i | ||||
\(197\) | 4.92470 | + | 8.52983i | 0.350870 | + | 0.607725i | 0.986402 | − | 0.164349i | \(-0.0525524\pi\) |
−0.635532 | + | 0.772075i | \(0.719219\pi\) | |||||||
\(198\) | 2.81250 | − | 4.87139i | 0.199876 | − | 0.346195i | ||||
\(199\) | 19.2318 | + | 6.99982i | 1.36331 | + | 0.496204i | 0.917076 | − | 0.398713i | \(-0.130543\pi\) |
0.446233 | + | 0.894917i | \(0.352765\pi\) | |||||||
\(200\) | −0.986561 | − | 0.359079i | −0.0697604 | − | 0.0253907i | ||||
\(201\) | 14.5670 | − | 25.2308i | 1.02748 | − | 1.77964i | ||||
\(202\) | −5.64146 | − | 9.77130i | −0.396932 | − | 0.687506i | ||||
\(203\) | −2.87753 | − | 16.3193i | −0.201963 | − | 1.14539i | ||||
\(204\) | −9.59321 | − | 8.04966i | −0.671659 | − | 0.563589i | ||||
\(205\) | 4.91289 | − | 4.12240i | 0.343131 | − | 0.287921i | ||||
\(206\) | 2.57485 | − | 14.6027i | 0.179398 | − | 1.01742i | ||||
\(207\) | 7.86915 | − | 2.86414i | 0.546944 | − | 0.199071i | ||||
\(208\) | 6.34458 | 0.439917 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −17.3167 | −1.19496 | ||||||||
\(211\) | −7.62682 | + | 2.77594i | −0.525052 | + | 0.191103i | −0.590928 | − | 0.806724i | \(-0.701238\pi\) |
0.0658756 | + | 0.997828i | \(0.479016\pi\) | |||||||
\(212\) | −0.255310 | + | 1.44793i | −0.0175348 | + | 0.0994445i | ||||
\(213\) | 13.5080 | − | 11.3345i | 0.925552 | − | 0.776630i | ||||
\(214\) | −2.16675 | − | 1.81812i | −0.148116 | − | 0.124284i | ||||
\(215\) | −1.22637 | − | 6.95507i | −0.0836375 | − | 0.474332i | ||||
\(216\) | 0.442463 | + | 0.766369i | 0.0301058 | + | 0.0521448i | ||||
\(217\) | 10.1744 | − | 17.6226i | 0.690684 | − | 1.19630i | ||||
\(218\) | −1.62134 | − | 0.590118i | −0.109811 | − | 0.0399678i | ||||
\(219\) | −14.6499 | − | 5.33213i | −0.989949 | − | 0.360312i | ||||
\(220\) | −2.06430 | + | 3.57547i | −0.139175 | + | 0.241058i | ||||
\(221\) | −15.7637 | − | 27.3035i | −1.06038 | − | 1.83663i | ||||
\(222\) | −0.241116 | − | 1.36744i | −0.0161826 | − | 0.0917763i | ||||
\(223\) | 8.23806 | + | 6.91255i | 0.551661 | + | 0.462899i | 0.875503 | − | 0.483212i | \(-0.160530\pi\) |
−0.323842 | + | 0.946111i | \(0.604975\pi\) | |||||||
\(224\) | −2.14003 | + | 1.79569i | −0.142986 | + | 0.119980i | ||||
\(225\) | 0.610943 | − | 3.46483i | 0.0407296 | − | 0.230989i | ||||
\(226\) | 0.401986 | − | 0.146311i | 0.0267397 | − | 0.00973246i | ||||
\(227\) | 27.0936 | 1.79827 | 0.899133 | − | 0.437676i | \(-0.144198\pi\) | ||||
0.899133 | + | 0.437676i | \(0.144198\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 9.46557 | 0.625503 | 0.312751 | − | 0.949835i | \(-0.398749\pi\) | ||||
0.312751 | + | 0.949835i | \(0.398749\pi\) | |||||||
\(230\) | −5.77575 | + | 2.10220i | −0.380842 | + | 0.138615i | ||||
\(231\) | −2.05206 | + | 11.6378i | −0.135016 | + | 0.765713i | ||||
\(232\) | 4.54401 | − | 3.81288i | 0.298329 | − | 0.250328i | ||||
\(233\) | 17.5134 | + | 14.6955i | 1.14734 | + | 0.962733i | 0.999654 | − | 0.0263016i | \(-0.00837302\pi\) |
0.147686 | + | 0.989034i | \(0.452817\pi\) | |||||||
\(234\) | 3.69203 | + | 20.9386i | 0.241356 | + | 1.36880i | ||||
\(235\) | 0.916949 | + | 1.58820i | 0.0598152 | + | 0.103603i | ||||
\(236\) | 2.48131 | − | 4.29775i | 0.161519 | − | 0.279759i | ||||
\(237\) | −13.9996 | − | 5.09544i | −0.909371 | − | 0.330984i | ||||
\(238\) | 13.0447 | + | 4.74789i | 0.845564 | + | 0.307760i | ||||
\(239\) | −4.33306 | + | 7.50508i | −0.280282 | + | 0.485463i | −0.971454 | − | 0.237227i | \(-0.923761\pi\) |
0.691172 | + | 0.722690i | \(0.257095\pi\) | |||||||
\(240\) | −3.09934 | − | 5.36821i | −0.200061 | − | 0.346517i | ||||
\(241\) | 0.982546 | + | 5.57230i | 0.0632914 | + | 0.358943i | 0.999962 | + | 0.00873132i | \(0.00277930\pi\) |
−0.936671 | + | 0.350212i | \(0.886110\pi\) | |||||||
\(242\) | −6.26818 | − | 5.25963i | −0.402934 | − | 0.338102i | ||||
\(243\) | 17.1369 | − | 14.3795i | 1.09933 | − | 0.922448i | ||||
\(244\) | 1.62133 | − | 9.19501i | 0.103795 | − | 0.588650i | ||||
\(245\) | 1.85882 | − | 0.676555i | 0.118756 | − | 0.0432235i | ||||
\(246\) | 6.57106 | 0.418956 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 7.28408 | 0.462539 | ||||||||
\(249\) | 35.9424 | − | 13.0820i | 2.27776 | − | 0.829035i | ||||
\(250\) | 1.68715 | − | 9.56831i | 0.106705 | − | 0.605153i | ||||
\(251\) | −10.3839 | + | 8.71313i | −0.655427 | + | 0.549968i | −0.908712 | − | 0.417423i | \(-0.862933\pi\) |
0.253286 | + | 0.967392i | \(0.418489\pi\) | |||||||
\(252\) | −7.17153 | − | 6.01762i | −0.451764 | − | 0.379075i | ||||
\(253\) | 0.728365 | + | 4.13077i | 0.0457919 | + | 0.259699i | ||||
\(254\) | 0.568158 | + | 0.984079i | 0.0356494 | + | 0.0617466i | ||||
\(255\) | −15.4012 | + | 26.6756i | −0.964458 | + | 1.67049i | ||||
\(256\) | −0.939693 | − | 0.342020i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | −9.43381 | − | 3.43363i | −0.588465 | − | 0.214184i | 0.0305891 | − | 0.999532i | \(-0.490262\pi\) |
−0.619054 | + | 0.785348i | \(0.712484\pi\) | |||||||
\(258\) | 3.61803 | − | 6.26662i | 0.225249 | − | 0.390143i | ||||
\(259\) | 0.769599 | + | 1.33298i | 0.0478206 | + | 0.0828276i | ||||
\(260\) | −2.70986 | − | 15.3684i | −0.168058 | − | 0.953105i | ||||
\(261\) | 15.2276 | + | 12.7775i | 0.942566 | + | 0.790907i | ||||
\(262\) | −13.6674 | + | 11.4683i | −0.844374 | + | 0.708514i | ||||
\(263\) | −3.26913 | + | 18.5402i | −0.201583 | + | 1.14324i | 0.701143 | + | 0.713021i | \(0.252673\pi\) |
−0.902726 | + | 0.430215i | \(0.858438\pi\) | |||||||
\(264\) | −3.97504 | + | 1.44680i | −0.244647 | + | 0.0890441i | ||||
\(265\) | 3.61635 | 0.222151 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −17.4017 | −1.06496 | ||||||||
\(268\) | −10.8633 | + | 3.95390i | −0.663579 | + | 0.241523i | ||||
\(269\) | −2.84482 | + | 16.1338i | −0.173452 | + | 0.983694i | 0.766464 | + | 0.642288i | \(0.222015\pi\) |
−0.939916 | + | 0.341407i | \(0.889097\pi\) | |||||||
\(270\) | 1.66738 | − | 1.39910i | 0.101474 | − | 0.0851464i | ||||
\(271\) | −2.11952 | − | 1.77849i | −0.128752 | − | 0.108035i | 0.576138 | − | 0.817352i | \(-0.304559\pi\) |
−0.704890 | + | 0.709317i | \(0.749004\pi\) | |||||||
\(272\) | 0.862888 | + | 4.89368i | 0.0523203 | + | 0.296723i | ||||
\(273\) | −22.3338 | − | 38.6833i | −1.35171 | − | 2.34122i | ||||
\(274\) | 7.95782 | − | 13.7833i | 0.480749 | − | 0.832682i | ||||
\(275\) | 1.65597 | + | 0.602725i | 0.0998589 | + | 0.0363457i | ||||
\(276\) | −5.91781 | − | 2.15391i | −0.356210 | − | 0.129650i | ||||
\(277\) | −12.2661 | + | 21.2454i | −0.736996 | + | 1.27651i | 0.216846 | + | 0.976206i | \(0.430423\pi\) |
−0.953842 | + | 0.300309i | \(0.902910\pi\) | |||||||
\(278\) | −5.06008 | − | 8.76432i | −0.303484 | − | 0.525649i | ||||
\(279\) | 4.23875 | + | 24.0391i | 0.253767 | + | 1.43919i | ||||
\(280\) | 5.26371 | + | 4.41678i | 0.314567 | + | 0.263953i | ||||
\(281\) | 7.79095 | − | 6.53738i | 0.464769 | − | 0.389988i | −0.380113 | − | 0.924940i | \(-0.624115\pi\) |
0.844882 | + | 0.534952i | \(0.179670\pi\) | |||||||
\(282\) | −0.326286 | + | 1.85046i | −0.0194300 | + | 0.110193i | ||||
\(283\) | −25.9992 | + | 9.46294i | −1.54549 | + | 0.562514i | −0.967355 | − | 0.253425i | \(-0.918443\pi\) |
−0.578138 | + | 0.815939i | \(0.696221\pi\) | |||||||
\(284\) | −6.99698 | −0.415195 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −10.6496 | −0.629722 | ||||||||
\(287\) | −6.84480 | + | 2.49130i | −0.404035 | + | 0.147057i | ||||
\(288\) | 0.581920 | − | 3.30023i | 0.0342899 | − | 0.194468i | ||||
\(289\) | 5.89295 | − | 4.94477i | 0.346644 | − | 0.290869i | ||||
\(290\) | −11.1767 | − | 9.37834i | −0.656317 | − | 0.550715i | ||||
\(291\) | −6.29619 | − | 35.7075i | −0.369089 | − | 2.09321i | ||||
\(292\) | 3.09310 | + | 5.35740i | 0.181010 | + | 0.313518i | ||||
\(293\) | −11.9193 | + | 20.6448i | −0.696333 | + | 1.20608i | 0.273396 | + | 0.961901i | \(0.411853\pi\) |
−0.969729 | + | 0.244182i | \(0.921480\pi\) | |||||||
\(294\) | 1.90454 | + | 0.693195i | 0.111075 | + | 0.0404280i | ||||
\(295\) | −11.4702 | − | 4.17479i | −0.667818 | − | 0.243066i | ||||
\(296\) | −0.275486 | + | 0.477156i | −0.0160123 | + | 0.0277341i | ||||
\(297\) | −0.742689 | − | 1.28637i | −0.0430952 | − | 0.0746430i | ||||
\(298\) | 1.63203 | + | 9.25573i | 0.0945412 | + | 0.536170i | ||||
\(299\) | −12.1452 | − | 10.1911i | −0.702377 | − | 0.589365i | ||||
\(300\) | −2.02683 | + | 1.70071i | −0.117019 | + | 0.0981908i | ||||
\(301\) | −1.39287 | + | 7.89938i | −0.0802839 | + | 0.455313i | ||||
\(302\) | 9.64428 | − | 3.51023i | 0.554966 | − | 0.201991i | ||||
\(303\) | −28.4346 | −1.63353 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −22.9654 | −1.31500 | ||||||||
\(306\) | −15.6481 | + | 5.69546i | −0.894545 | + | 0.325588i | ||||
\(307\) | 4.51285 | − | 25.5936i | 0.257562 | − | 1.46070i | −0.531849 | − | 0.846839i | \(-0.678503\pi\) |
0.789411 | − | 0.613866i | \(-0.210386\pi\) | |||||||
\(308\) | 3.59210 | − | 3.01413i | 0.204679 | − | 0.171746i | ||||
\(309\) | −28.6261 | − | 24.0201i | −1.62848 | − | 1.36646i | ||||
\(310\) | −3.11113 | − | 17.6441i | −0.176700 | − | 1.00212i | ||||
\(311\) | 11.5522 | + | 20.0089i | 0.655063 | + | 1.13460i | 0.981878 | + | 0.189515i | \(0.0606914\pi\) |
−0.326814 | + | 0.945089i | \(0.605975\pi\) | |||||||
\(312\) | 7.99463 | − | 13.8471i | 0.452607 | − | 0.783938i | ||||
\(313\) | −11.5250 | − | 4.19477i | −0.651434 | − | 0.237103i | −0.00490043 | − | 0.999988i | \(-0.501560\pi\) |
−0.646534 | + | 0.762885i | \(0.723782\pi\) | |||||||
\(314\) | −2.79453 | − | 1.01713i | −0.157704 | − | 0.0573997i | ||||
\(315\) | −11.5133 | + | 19.9417i | −0.648703 | + | 1.12359i | ||||
\(316\) | 2.95579 | + | 5.11958i | 0.166276 | + | 0.287999i | ||||
\(317\) | −0.0472853 | − | 0.268168i | −0.00265580 | − | 0.0150618i | 0.983451 | − | 0.181174i | \(-0.0579897\pi\) |
−0.986107 | + | 0.166112i | \(0.946879\pi\) | |||||||
\(318\) | 2.83842 | + | 2.38172i | 0.159171 | + | 0.133560i | ||||
\(319\) | −7.62727 | + | 6.40004i | −0.427045 | + | 0.358333i | ||||
\(320\) | −0.427114 | + | 2.42228i | −0.0238764 | + | 0.135410i | ||||
\(321\) | −6.69832 | + | 2.43799i | −0.373864 | + | 0.136075i | ||||
\(322\) | 6.98095 | 0.389033 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | −7.82328 | −0.434626 | ||||||||
\(325\) | −6.25931 | + | 2.27820i | −0.347204 | + | 0.126372i | ||||
\(326\) | 0.971025 | − | 5.50695i | 0.0537801 | − | 0.305002i | ||||
\(327\) | −3.33094 | + | 2.79499i | −0.184202 | + | 0.154563i | ||||
\(328\) | −1.99739 | − | 1.67601i | −0.110288 | − | 0.0925423i | ||||
\(329\) | −0.361691 | − | 2.05125i | −0.0199406 | − | 0.113089i | ||||
\(330\) | 5.20234 | + | 9.01071i | 0.286379 | + | 0.496024i | ||||
\(331\) | 9.99650 | − | 17.3144i | 0.549457 | − | 0.951688i | −0.448855 | − | 0.893605i | \(-0.648168\pi\) |
0.998312 | − | 0.0580830i | \(-0.0184988\pi\) | |||||||
\(332\) | −14.2620 | − | 5.19095i | −0.782730 | − | 0.284890i | ||||
\(333\) | −1.73503 | − | 0.631501i | −0.0950793 | − | 0.0346060i | ||||
\(334\) | 3.54180 | − | 6.13458i | 0.193799 | − | 0.335669i | ||||
\(335\) | 14.2173 | + | 24.6251i | 0.776775 | + | 1.34541i | ||||
\(336\) | 1.22253 | + | 6.93334i | 0.0666947 | + | 0.378244i | ||||
\(337\) | −13.2391 | − | 11.1089i | −0.721180 | − | 0.605142i | 0.206532 | − | 0.978440i | \(-0.433782\pi\) |
−0.927711 | + | 0.373298i | \(0.878227\pi\) | |||||||
\(338\) | 20.8775 | − | 17.5183i | 1.13559 | − | 0.952870i | ||||
\(339\) | 0.187207 | − | 1.06170i | 0.0101677 | − | 0.0576637i | ||||
\(340\) | 11.4853 | − | 4.18032i | 0.622879 | − | 0.226710i | ||||
\(341\) | −12.2266 | −0.662105 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 17.3085 | 0.934573 | ||||||||
\(344\) | −2.69813 | + | 0.982038i | −0.145473 | + | 0.0529480i | ||||
\(345\) | −2.68979 | + | 15.2546i | −0.144814 | + | 0.821279i | ||||
\(346\) | −17.6350 | + | 14.7975i | −0.948061 | + | 0.795518i | ||||
\(347\) | −14.2067 | − | 11.9209i | −0.762658 | − | 0.639946i | 0.176160 | − | 0.984362i | \(-0.443633\pi\) |
−0.938817 | + | 0.344416i | \(0.888077\pi\) | |||||||
\(348\) | −2.59586 | − | 14.7219i | −0.139153 | − | 0.789175i | ||||
\(349\) | 10.0605 | + | 17.4253i | 0.538527 | + | 0.932755i | 0.998984 | + | 0.0450735i | \(0.0143522\pi\) |
−0.460457 | + | 0.887682i | \(0.652314\pi\) | |||||||
\(350\) | 1.46647 | − | 2.54000i | 0.0783861 | − | 0.135769i | ||||
\(351\) | 5.27589 | + | 1.92027i | 0.281606 | + | 0.102496i | ||||
\(352\) | 1.57730 | + | 0.574092i | 0.0840706 | + | 0.0305992i | ||||
\(353\) | −12.0278 | + | 20.8328i | −0.640177 | + | 1.10882i | 0.345215 | + | 0.938523i | \(0.387806\pi\) |
−0.985393 | + | 0.170296i | \(0.945527\pi\) | |||||||
\(354\) | −6.25325 | − | 10.8310i | −0.332357 | − | 0.575659i | ||||
\(355\) | 2.98851 | + | 16.9487i | 0.158613 | + | 0.899542i | ||||
\(356\) | 5.28955 | + | 4.43846i | 0.280346 | + | 0.235238i | ||||
\(357\) | 26.7996 | − | 22.4876i | 1.41839 | − | 1.19017i | ||||
\(358\) | 1.42647 | − | 8.08991i | 0.0753913 | − | 0.427565i | ||||
\(359\) | 10.1989 | − | 3.71210i | 0.538278 | − | 0.195917i | −0.0585527 | − | 0.998284i | \(-0.518649\pi\) |
0.596831 | + | 0.802367i | \(0.296426\pi\) | |||||||
\(360\) | −8.24263 | −0.434425 | ||||||||
\(361\) | 0 | 0 | ||||||||
\(362\) | −12.9999 | −0.683259 | ||||||||
\(363\) | −19.3776 | + | 7.05286i | −1.01706 | + | 0.370179i | ||||
\(364\) | −3.07778 | + | 17.4550i | −0.161320 | + | 0.914889i | ||||
\(365\) | 11.6560 | − | 9.78057i | 0.610104 | − | 0.511938i | ||||
\(366\) | −18.0252 | − | 15.1250i | −0.942194 | − | 0.790594i | ||||
\(367\) | −5.66303 | − | 32.1166i | −0.295608 | − | 1.67647i | −0.664723 | − | 0.747090i | \(-0.731450\pi\) |
0.369115 | − | 0.929384i | \(-0.379661\pi\) | |||||||
\(368\) | 1.24945 | + | 2.16411i | 0.0651322 | + | 0.112812i | ||||
\(369\) | 4.36890 | − | 7.56716i | 0.227436 | − | 0.393931i | ||||
\(370\) | 1.27347 | + | 0.463505i | 0.0662045 | + | 0.0240965i | ||||
\(371\) | −3.85965 | − | 1.40480i | −0.200383 | − | 0.0729335i | ||||
\(372\) | 9.17848 | − | 15.8976i | 0.475882 | − | 0.824251i | ||||
\(373\) | 2.65099 | + | 4.59165i | 0.137263 | + | 0.237746i | 0.926460 | − | 0.376394i | \(-0.122836\pi\) |
−0.789197 | + | 0.614141i | \(0.789503\pi\) | |||||||
\(374\) | −1.44838 | − | 8.21420i | −0.0748942 | − | 0.424746i | ||||
\(375\) | −18.7570 | − | 15.7390i | −0.968608 | − | 0.812759i | ||||
\(376\) | 0.571158 | − | 0.479258i | 0.0294552 | − | 0.0247159i | ||||
\(377\) | 6.53519 | − | 37.0629i | 0.336579 | − | 1.90884i | ||||
\(378\) | −2.32305 | + | 0.845520i | −0.119485 | + | 0.0434889i | ||||
\(379\) | 24.6656 | 1.26699 | 0.633494 | − | 0.773748i | \(-0.281620\pi\) | ||||
0.633494 | + | 0.773748i | \(0.281620\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 2.86368 | 0.146711 | ||||||||
\(382\) | −6.17828 | + | 2.24871i | −0.316108 | + | 0.115054i | ||||
\(383\) | 0.632802 | − | 3.58880i | 0.0323347 | − | 0.183379i | −0.964363 | − | 0.264583i | \(-0.914766\pi\) |
0.996697 | + | 0.0812045i | \(0.0258767\pi\) | |||||||
\(384\) | −1.93054 | + | 1.61992i | −0.0985177 | + | 0.0826662i | ||||
\(385\) | −8.83531 | − | 7.41370i | −0.450289 | − | 0.377837i | ||||
\(386\) | 4.66812 | + | 26.4742i | 0.237601 | + | 1.34750i | ||||
\(387\) | −4.81105 | − | 8.33298i | −0.244559 | − | 0.423589i | ||||
\(388\) | −7.19369 | + | 12.4598i | −0.365204 | + | 0.632552i | ||||
\(389\) | −2.62506 | − | 0.955445i | −0.133096 | − | 0.0484430i | 0.274613 | − | 0.961555i | \(-0.411450\pi\) |
−0.407709 | + | 0.913112i | \(0.633672\pi\) | |||||||
\(390\) | −36.9562 | − | 13.4510i | −1.87135 | − | 0.681116i | ||||
\(391\) | 6.20875 | − | 10.7539i | 0.313990 | − | 0.543846i | ||||
\(392\) | −0.402113 | − | 0.696480i | −0.0203098 | − | 0.0351776i | ||||
\(393\) | 7.80778 | + | 44.2801i | 0.393850 | + | 2.23364i | ||||
\(394\) | −7.54508 | − | 6.33107i | −0.380116 | − | 0.318955i | ||||
\(395\) | 11.1386 | − | 9.34640i | 0.560444 | − | 0.470269i | ||||
\(396\) | −0.976770 | + | 5.53954i | −0.0490846 | + | 0.278372i | ||||
\(397\) | 37.1274 | − | 13.5133i | 1.86337 | − | 0.678211i | 0.887129 | − | 0.461522i | \(-0.152696\pi\) |
0.976241 | − | 0.216689i | \(-0.0695257\pi\) | |||||||
\(398\) | −20.4661 | −1.02587 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.04988 | 0.0524938 | ||||||||
\(401\) | 17.4985 | − | 6.36892i | 0.873831 | − | 0.318049i | 0.134114 | − | 0.990966i | \(-0.457181\pi\) |
0.739718 | + | 0.672917i | \(0.234959\pi\) | |||||||
\(402\) | −5.05907 | + | 28.6914i | −0.252323 | + | 1.43100i | ||||
\(403\) | 35.4023 | − | 29.7060i | 1.76351 | − | 1.47976i | ||||
\(404\) | 8.64322 | + | 7.25253i | 0.430016 | + | 0.360827i | ||||
\(405\) | 3.34143 | + | 18.9502i | 0.166037 | + | 0.941642i | ||||
\(406\) | 8.28553 | + | 14.3510i | 0.411204 | + | 0.712226i | ||||
\(407\) | 0.462412 | − | 0.800921i | 0.0229209 | − | 0.0397002i | ||||
\(408\) | 11.7678 | + | 4.28314i | 0.582594 | + | 0.212047i | ||||
\(409\) | 16.1094 | + | 5.86335i | 0.796559 | + | 0.289924i | 0.708060 | − | 0.706152i | \(-0.249571\pi\) |
0.0884993 | + | 0.996076i | \(0.471793\pi\) | |||||||
\(410\) | −3.20666 | + | 5.55410i | −0.158366 | + | 0.274297i | ||||
\(411\) | −20.0549 | − | 34.7361i | −0.989234 | − | 1.71340i | ||||
\(412\) | 2.57485 | + | 14.6027i | 0.126854 | + | 0.719424i | ||||
\(413\) | 10.6201 | + | 8.91133i | 0.522582 | + | 0.438498i | ||||
\(414\) | −6.41499 | + | 5.38282i | −0.315280 | + | 0.264551i | ||||
\(415\) | −6.48244 | + | 36.7638i | −0.318211 | + | 1.80466i | ||||
\(416\) | −5.96195 | + | 2.16997i | −0.292309 | + | 0.106392i | ||||
\(417\) | −25.5043 | −1.24895 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −18.5042 | −0.903989 | −0.451995 | − | 0.892021i | \(-0.649287\pi\) | ||||
−0.451995 | + | 0.892021i | \(0.649287\pi\) | |||||||
\(420\) | 16.2723 | − | 5.92265i | 0.794009 | − | 0.288995i | ||||
\(421\) | −2.81303 | + | 15.9535i | −0.137099 | + | 0.777526i | 0.836276 | + | 0.548308i | \(0.184728\pi\) |
−0.973375 | + | 0.229218i | \(0.926383\pi\) | |||||||
\(422\) | 6.21744 | − | 5.21705i | 0.302660 | − | 0.253962i | ||||
\(423\) | 1.91403 | + | 1.60606i | 0.0930633 | + | 0.0780894i | ||||
\(424\) | −0.255310 | − | 1.44793i | −0.0123989 | − | 0.0703179i | ||||
\(425\) | −2.60851 | − | 4.51807i | −0.126531 | − | 0.219159i | ||||
\(426\) | −8.81671 | + | 15.2710i | −0.427171 | + | 0.739882i | ||||
\(427\) | 24.5105 | + | 8.92108i | 1.18614 | + | 0.431721i | ||||
\(428\) | 2.65791 | + | 0.967399i | 0.128475 | + | 0.0467610i | ||||
\(429\) | −13.4192 | + | 23.2428i | −0.647887 | + | 1.12217i | ||||
\(430\) | 3.53118 | + | 6.11619i | 0.170289 | + | 0.294949i | ||||
\(431\) | 2.20527 | + | 12.5067i | 0.106224 | + | 0.602428i | 0.990724 | + | 0.135888i | \(0.0433886\pi\) |
−0.884500 | + | 0.466540i | \(0.845500\pi\) | |||||||
\(432\) | −0.677893 | − | 0.568820i | −0.0326152 | − | 0.0273674i | ||||
\(433\) | 10.9047 | − | 9.15010i | 0.524045 | − | 0.439726i | −0.341994 | − | 0.939702i | \(-0.611102\pi\) |
0.866039 | + | 0.499976i | \(0.166658\pi\) | |||||||
\(434\) | −3.53354 | + | 20.0397i | −0.169615 | + | 0.961936i | ||||
\(435\) | −34.5518 | + | 12.5758i | −1.65663 | + | 0.602964i | ||||
\(436\) | 1.72539 | 0.0826312 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 15.5901 | 0.744924 | ||||||||
\(439\) | −26.4900 | + | 9.64156i | −1.26430 | + | 0.460166i | −0.885209 | − | 0.465194i | \(-0.845984\pi\) |
−0.379088 | + | 0.925361i | \(0.623762\pi\) | |||||||
\(440\) | 0.716924 | − | 4.06588i | 0.0341780 | − | 0.193833i | ||||
\(441\) | 2.06455 | − | 1.73236i | 0.0983118 | − | 0.0824934i | ||||
\(442\) | 24.1513 | + | 20.2654i | 1.14876 | + | 0.963925i | ||||
\(443\) | −5.72941 | − | 32.4931i | −0.272213 | − | 1.54379i | −0.747679 | − | 0.664060i | \(-0.768832\pi\) |
0.475467 | − | 0.879734i | \(-0.342279\pi\) | |||||||
\(444\) | 0.694265 | + | 1.20250i | 0.0329484 | + | 0.0570683i | ||||
\(445\) | 8.49196 | − | 14.7085i | 0.402558 | − | 0.697250i | ||||
\(446\) | −10.1055 | − | 3.67809i | −0.478508 | − | 0.174163i | ||||
\(447\) | 22.2572 | + | 8.10096i | 1.05273 | + | 0.383162i | ||||
\(448\) | 1.39680 | − | 2.41933i | 0.0659927 | − | 0.114303i | ||||
\(449\) | 8.59876 | + | 14.8935i | 0.405801 | + | 0.702867i | 0.994414 | − | 0.105547i | \(-0.0336594\pi\) |
−0.588614 | + | 0.808415i | \(0.700326\pi\) | |||||||
\(450\) | 0.610943 | + | 3.46483i | 0.0288001 | + | 0.163334i | ||||
\(451\) | 3.35269 | + | 2.81324i | 0.157872 | + | 0.132470i | ||||
\(452\) | −0.327702 | + | 0.274975i | −0.0154138 | + | 0.0129337i | ||||
\(453\) | 4.49139 | − | 25.4719i | 0.211024 | − | 1.19677i | ||||
\(454\) | −25.4597 | + | 9.26656i | −1.19488 | + | 0.434901i | ||||
\(455\) | 43.5954 | 2.04378 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −31.1517 | −1.45722 | −0.728608 | − | 0.684931i | \(-0.759832\pi\) | ||||
−0.728608 | + | 0.684931i | \(0.759832\pi\) | |||||||
\(458\) | −8.89473 | + | 3.23742i | −0.415623 | + | 0.151275i | ||||
\(459\) | −0.763593 | + | 4.33055i | −0.0356415 | + | 0.202133i | ||||
\(460\) | 4.70844 | − | 3.95085i | 0.219532 | − | 0.184209i | ||||
\(461\) | 11.9051 | + | 9.98956i | 0.554475 | + | 0.465260i | 0.876453 | − | 0.481487i | \(-0.159903\pi\) |
−0.321978 | + | 0.946747i | \(0.604348\pi\) | |||||||
\(462\) | −2.05206 | − | 11.6378i | −0.0954706 | − | 0.541441i | ||||
\(463\) | −10.3324 | − | 17.8962i | −0.480187 | − | 0.831708i | 0.519555 | − | 0.854437i | \(-0.326098\pi\) |
−0.999742 | + | 0.0227291i | \(0.992764\pi\) | |||||||
\(464\) | −2.96589 | + | 5.13708i | −0.137688 | + | 0.238483i | ||||
\(465\) | −42.4287 | − | 15.4428i | −1.96758 | − | 0.716142i | ||||
\(466\) | −21.4833 | − | 7.81930i | −0.995197 | − | 0.362222i | ||||
\(467\) | 14.2415 | − | 24.6670i | 0.659017 | − | 1.14145i | −0.321853 | − | 0.946790i | \(-0.604306\pi\) |
0.980870 | − | 0.194662i | \(-0.0623609\pi\) | |||||||
\(468\) | −10.6308 | − | 18.4131i | −0.491408 | − | 0.851144i | ||||
\(469\) | −5.60802 | − | 31.8047i | −0.258954 | − | 1.46860i | ||||
\(470\) | −1.40485 | − | 1.17881i | −0.0648008 | − | 0.0543743i | ||||
\(471\) | −5.74120 | + | 4.81744i | −0.264540 | + | 0.221976i | ||||
\(472\) | −0.861748 | + | 4.88722i | −0.0396652 | + | 0.224952i | ||||
\(473\) | 4.52889 | − | 1.64838i | 0.208239 | − | 0.0757927i | ||||
\(474\) | 14.8981 | 0.684290 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −13.8819 | −0.636276 | ||||||||
\(477\) | 4.62995 | − | 1.68516i | 0.211991 | − | 0.0771583i | ||||
\(478\) | 1.50486 | − | 8.53446i | 0.0688305 | − | 0.390357i | ||||
\(479\) | −8.02251 | + | 6.73169i | −0.366558 | + | 0.307579i | −0.807398 | − | 0.590007i | \(-0.799125\pi\) |
0.440840 | + | 0.897586i | \(0.354681\pi\) | |||||||
\(480\) | 4.74846 | + | 3.98443i | 0.216737 | + | 0.181864i | ||||
\(481\) | 0.607019 | + | 3.44258i | 0.0276777 | + | 0.156968i | ||||
\(482\) | −2.82913 | − | 4.90020i | −0.128863 | − | 0.223198i | ||||
\(483\) | 8.79651 | − | 15.2360i | 0.400255 | − | 0.693262i | ||||
\(484\) | 7.68907 | + | 2.79859i | 0.349503 | + | 0.127209i | ||||
\(485\) | 33.2538 | + | 12.1034i | 1.50998 | + | 0.549586i | ||||
\(486\) | −11.1853 | + | 19.3735i | −0.507375 | + | 0.878800i | ||||
\(487\) | −1.14947 | − | 1.99094i | −0.0520875 | − | 0.0902181i | 0.838806 | − | 0.544430i | \(-0.183254\pi\) |
−0.890894 | + | 0.454212i | \(0.849921\pi\) | |||||||
\(488\) | 1.62133 | + | 9.19501i | 0.0733941 | + | 0.416239i | ||||
\(489\) | −10.7954 | − | 9.05844i | −0.488186 | − | 0.409637i | ||||
\(490\) | −1.51532 | + | 1.27151i | −0.0684553 | + | 0.0574408i | ||||
\(491\) | 2.11177 | − | 11.9764i | 0.0953027 | − | 0.540488i | −0.899352 | − | 0.437226i | \(-0.855961\pi\) |
0.994654 | − | 0.103262i | \(-0.0329280\pi\) | |||||||
\(492\) | −6.17478 | + | 2.24744i | −0.278381 | + | 0.101322i | ||||
\(493\) | 29.4761 | 1.32754 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 13.8355 | 0.621860 | ||||||||
\(496\) | −6.84480 | + | 2.49130i | −0.307340 | + | 0.111863i | ||||
\(497\) | 3.39427 | − | 19.2498i | 0.152254 | − | 0.863473i | ||||
\(498\) | −29.3005 | + | 24.5860i | −1.31299 | + | 1.10173i | ||||
\(499\) | 11.5940 | + | 9.72849i | 0.519017 | + | 0.435507i | 0.864289 | − | 0.502996i | \(-0.167769\pi\) |
−0.345272 | + | 0.938503i | \(0.612213\pi\) | |||||||
\(500\) | 1.68715 | + | 9.56831i | 0.0754517 | + | 0.427908i | ||||
\(501\) | −8.92586 | − | 15.4600i | −0.398778 | − | 0.690704i | ||||
\(502\) | 6.77762 | − | 11.7392i | 0.302500 | − | 0.523945i | ||||
\(503\) | 0.539086 | + | 0.196211i | 0.0240366 | + | 0.00874862i | 0.354010 | − | 0.935241i | \(-0.384818\pi\) |
−0.329974 | + | 0.943990i | \(0.607040\pi\) | |||||||
\(504\) | 8.79718 | + | 3.20191i | 0.391858 | + | 0.142624i | ||||
\(505\) | 13.8760 | − | 24.0340i | 0.617475 | − | 1.06950i | ||||
\(506\) | −2.09724 | − | 3.63253i | −0.0932339 | − | 0.161486i | ||||
\(507\) | −11.9267 | − | 67.6398i | −0.529684 | − | 3.00399i | ||||
\(508\) | −0.870469 | − | 0.730410i | −0.0386208 | − | 0.0324067i | ||||
\(509\) | −20.0828 | + | 16.8515i | −0.890155 | + | 0.746929i | −0.968241 | − | 0.250018i | \(-0.919564\pi\) |
0.0780859 | + | 0.996947i | \(0.475119\pi\) | |||||||
\(510\) | 5.34877 | − | 30.3344i | 0.236847 | − | 1.34323i | ||||
\(511\) | −16.2396 | + | 5.91071i | −0.718396 | + | 0.261475i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 10.0393 | 0.442813 | ||||||||
\(515\) | 34.2721 | − | 12.4740i | 1.51021 | − | 0.549671i | ||||
\(516\) | −1.25653 | + | 7.12614i | −0.0553156 | + | 0.313711i | ||||
\(517\) | −0.958706 | + | 0.804450i | −0.0421638 | + | 0.0353797i | ||||
\(518\) | −1.17909 | − | 0.989377i | −0.0518064 | − | 0.0434707i | ||||
\(519\) | 10.0743 | + | 57.1344i | 0.442214 | + | 2.50792i | ||||
\(520\) | 7.80272 | + | 13.5147i | 0.342172 | + | 0.592659i | ||||
\(521\) | 6.48183 | − | 11.2269i | 0.283974 | − | 0.491857i | −0.688386 | − | 0.725345i | \(-0.741680\pi\) |
0.972360 | + | 0.233487i | \(0.0750138\pi\) | |||||||
\(522\) | −18.6794 | − | 6.79876i | −0.817577 | − | 0.297574i | ||||
\(523\) | −16.7070 | − | 6.08086i | −0.730548 | − | 0.265898i | −0.0501509 | − | 0.998742i | \(-0.515970\pi\) |
−0.680397 | + | 0.732844i | \(0.738192\pi\) | |||||||
\(524\) | 8.92075 | − | 15.4512i | 0.389705 | − | 0.674989i | ||||
\(525\) | −3.69572 | − | 6.40117i | −0.161294 | − | 0.279370i | ||||
\(526\) | −3.26913 | − | 18.5402i | −0.142541 | − | 0.808390i | ||||
\(527\) | 27.7276 | + | 23.2663i | 1.20783 | + | 1.01349i | ||||
\(528\) | 3.24048 | − | 2.71909i | 0.141024 | − | 0.118333i | ||||
\(529\) | −2.90956 | + | 16.5009i | −0.126503 | + | 0.717432i | ||||
\(530\) | −3.39826 | + | 1.23687i | −0.147611 | + | 0.0537260i | ||||
\(531\) | −16.6304 | −0.721698 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −16.5429 | −0.716554 | ||||||||
\(534\) | 16.3522 | − | 5.95172i | 0.707629 | − | 0.257556i | ||||
\(535\) | 1.20809 | − | 6.85139i | 0.0522301 | − | 0.296212i | ||||
\(536\) | 8.85581 | − | 7.43091i | 0.382513 | − | 0.320966i | ||||
\(537\) | −15.8589 | − | 13.3072i | −0.684361 | − | 0.574247i | ||||
\(538\) | −2.84482 | − | 16.1338i | −0.122649 | − | 0.695577i | ||||
\(539\) | 0.674959 | + | 1.16906i | 0.0290726 | + | 0.0503551i | ||||
\(540\) | −1.08831 | + | 1.88500i | −0.0468332 | + | 0.0811175i | ||||
\(541\) | 5.02189 | + | 1.82782i | 0.215908 | + | 0.0785840i | 0.447710 | − | 0.894179i | \(-0.352240\pi\) |
−0.231802 | + | 0.972763i | \(0.574462\pi\) | |||||||
\(542\) | 2.59998 | + | 0.946314i | 0.111679 | + | 0.0406477i | ||||
\(543\) | −16.3808 | + | 28.3724i | −0.702968 | + | 1.21758i | ||||
\(544\) | −2.48459 | − | 4.30343i | −0.106526 | − | 0.184508i | ||||
\(545\) | −0.736938 | − | 4.17938i | −0.0315669 | − | 0.179025i | ||||
\(546\) | 34.2174 | + | 28.7118i | 1.46437 | + | 1.22875i | ||||
\(547\) | 3.90768 | − | 3.27894i | 0.167080 | − | 0.140197i | −0.555414 | − | 0.831574i | \(-0.687440\pi\) |
0.722494 | + | 0.691377i | \(0.242996\pi\) | |||||||
\(548\) | −2.76372 | + | 15.6738i | −0.118060 | + | 0.669553i | ||||
\(549\) | −29.4022 | + | 10.7015i | −1.25485 | + | 0.456729i | ||||
\(550\) | −1.76225 | −0.0751426 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 6.29761 | 0.268044 | ||||||||
\(553\) | −15.5187 | + | 5.64833i | −0.659921 | + | 0.240192i | ||||
\(554\) | 4.25996 | − | 24.1594i | 0.180988 | − | 1.02644i | ||||
\(555\) | 2.61627 | − | 2.19531i | 0.111054 | − | 0.0931858i | ||||
\(556\) | 7.75250 | + | 6.50512i | 0.328779 | + | 0.275879i | ||||
\(557\) | −1.86212 | − | 10.5606i | −0.0789006 | − | 0.447467i | −0.998507 | − | 0.0546262i | \(-0.982603\pi\) |
0.919606 | − | 0.392841i | \(-0.128508\pi\) | |||||||
\(558\) | −12.2050 | − | 21.1397i | −0.516678 | − | 0.894913i | ||||
\(559\) | −9.10855 | + | 15.7765i | −0.385251 | + | 0.667274i | ||||
\(560\) | −6.45690 | − | 2.35012i | −0.272854 | − | 0.0993107i | ||||
\(561\) | −19.7527 | − | 7.18938i | −0.833958 | − | 0.303536i | ||||
\(562\) | −5.08518 | + | 8.80779i | −0.214505 | + | 0.371534i | ||||
\(563\) | −4.88142 | − | 8.45488i | −0.205728 | − | 0.356331i | 0.744637 | − | 0.667470i | \(-0.232623\pi\) |
−0.950364 | + | 0.311139i | \(0.899289\pi\) | |||||||
\(564\) | −0.326286 | − | 1.85046i | −0.0137391 | − | 0.0779184i | ||||
\(565\) | 0.806033 | + | 0.676342i | 0.0339100 | + | 0.0284539i | ||||
\(566\) | 21.1948 | − | 17.7845i | 0.890882 | − | 0.747539i | ||||
\(567\) | 3.79511 | − | 21.5231i | 0.159379 | − | 0.903886i | ||||
\(568\) | 6.57501 | − | 2.39311i | 0.275881 | − | 0.100413i | ||||
\(569\) | −8.84194 | −0.370674 | −0.185337 | − | 0.982675i | \(-0.559338\pi\) | ||||
−0.185337 | + | 0.982675i | \(0.559338\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 22.8411 | 0.955871 | 0.477935 | − | 0.878395i | \(-0.341385\pi\) | ||||
0.477935 | + | 0.878395i | \(0.341385\pi\) | |||||||
\(572\) | 10.0073 | − | 3.64237i | 0.418427 | − | 0.152295i | ||||
\(573\) | −2.87725 | + | 16.3177i | −0.120199 | + | 0.681682i | ||||
\(574\) | 5.57993 | − | 4.68212i | 0.232902 | − | 0.195428i | ||||
\(575\) | −2.00975 | − | 1.68638i | −0.0838123 | − | 0.0703268i | ||||
\(576\) | 0.581920 | + | 3.30023i | 0.0242466 | + | 0.137510i | ||||
\(577\) | 7.00879 | + | 12.1396i | 0.291780 | + | 0.505377i | 0.974231 | − | 0.225554i | \(-0.0724192\pi\) |
−0.682451 | + | 0.730931i | \(0.739086\pi\) | |||||||
\(578\) | −3.84635 | + | 6.66207i | −0.159987 | + | 0.277106i | ||||
\(579\) | 63.6624 | + | 23.1712i | 2.64572 | + | 0.962964i | ||||
\(580\) | 13.7102 | + | 4.99011i | 0.569286 | + | 0.207203i | ||||
\(581\) | 21.1997 | − | 36.7190i | 0.879513 | − | 1.52336i | ||||
\(582\) | 18.1292 | + | 31.4006i | 0.751478 | + | 1.30160i | ||||
\(583\) | 0.428546 | + | 2.43040i | 0.0177485 | + | 0.100657i | ||||
\(584\) | −4.73890 | − | 3.97641i | −0.196097 | − | 0.164545i | ||||
\(585\) | −40.0611 | + | 33.6152i | −1.65632 | + | 1.38982i | ||||
\(586\) | 4.13953 | − | 23.4764i | 0.171002 | − | 0.969803i | ||||
\(587\) | −19.7670 | + | 7.19460i | −0.815871 | + | 0.296953i | −0.716047 | − | 0.698052i | \(-0.754050\pi\) |
−0.0998243 | + | 0.995005i | \(0.531828\pi\) | |||||||
\(588\) | −2.02677 | −0.0835825 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 12.2063 | 0.502525 | ||||||||
\(591\) | −23.3250 | + | 8.48960i | −0.959462 | + | 0.349216i | ||||
\(592\) | 0.0956753 | − | 0.542602i | 0.00393223 | − | 0.0223008i | ||||
\(593\) | −26.7497 | + | 22.4457i | −1.09848 | + | 0.921733i | −0.997322 | − | 0.0731375i | \(-0.976699\pi\) |
−0.101157 | + | 0.994871i | \(0.532254\pi\) | |||||||
\(594\) | 1.13787 | + | 0.954782i | 0.0466872 | + | 0.0391752i | ||||
\(595\) | 5.92915 | + | 33.6259i | 0.243072 | + | 1.37853i | ||||
\(596\) | −4.69925 | − | 8.13935i | −0.192489 | − | 0.333401i | ||||
\(597\) | −25.7888 | + | 44.6675i | −1.05546 | + | 1.82812i | ||||
\(598\) | 14.8983 | + | 5.42255i | 0.609239 | + | 0.221745i | ||||
\(599\) | −20.2134 | − | 7.35707i | −0.825897 | − | 0.300602i | −0.105723 | − | 0.994396i | \(-0.533716\pi\) |
−0.720174 | + | 0.693794i | \(0.755938\pi\) | |||||||
\(600\) | 1.32292 | − | 2.29137i | 0.0540080 | − | 0.0935446i | ||||
\(601\) | 7.17087 | + | 12.4203i | 0.292506 | + | 0.506635i | 0.974402 | − | 0.224814i | \(-0.0721775\pi\) |
−0.681896 | + | 0.731449i | \(0.738844\pi\) | |||||||
\(602\) | −1.39287 | − | 7.89938i | −0.0567693 | − | 0.321955i | ||||
\(603\) | 29.6771 | + | 24.9020i | 1.20854 | + | 1.01409i | ||||
\(604\) | −7.86209 | + | 6.59708i | −0.319904 | + | 0.268431i | ||||
\(605\) | 3.49487 | − | 19.8204i | 0.142087 | − | 0.805814i | ||||
\(606\) | 26.7198 | − | 9.72522i | 1.08542 | − | 0.395060i | ||||
\(607\) | −10.3488 | −0.420046 | −0.210023 | − | 0.977696i | \(-0.567354\pi\) | ||||
−0.210023 | + | 0.977696i | \(0.567354\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 41.7615 | 1.69226 | ||||||||
\(610\) | 21.5804 | − | 7.85463i | 0.873766 | − | 0.318025i | ||||
\(611\) | 0.821438 | − | 4.65861i | 0.0332318 | − | 0.188467i | ||||
\(612\) | 12.7565 | − | 10.7040i | 0.515650 | − | 0.432682i | ||||
\(613\) | 14.9895 | + | 12.5777i | 0.605420 | + | 0.508008i | 0.893183 | − | 0.449694i | \(-0.148467\pi\) |
−0.287763 | + | 0.957702i | \(0.592911\pi\) | |||||||
\(614\) | 4.51285 | + | 25.5936i | 0.182124 | + | 1.03287i | ||||
\(615\) | 8.08126 | + | 13.9971i | 0.325868 | + | 0.564419i | ||||
\(616\) | −2.34458 | + | 4.06093i | −0.0944657 | + | 0.163619i | ||||
\(617\) | 5.56789 | + | 2.02654i | 0.224155 | + | 0.0815856i | 0.451656 | − | 0.892192i | \(-0.350833\pi\) |
−0.227501 | + | 0.973778i | \(0.573056\pi\) | |||||||
\(618\) | 35.1151 | + | 12.7808i | 1.41254 | + | 0.514121i | ||||
\(619\) | −4.01979 | + | 6.96248i | −0.161569 | + | 0.279846i | −0.935432 | − | 0.353508i | \(-0.884989\pi\) |
0.773863 | + | 0.633354i | \(0.218322\pi\) | |||||||
\(620\) | 8.95814 | + | 15.5160i | 0.359768 | + | 0.623136i | ||||
\(621\) | 0.383996 | + | 2.17775i | 0.0154092 | + | 0.0873902i | ||||
\(622\) | −17.6990 | − | 14.8512i | −0.709663 | − | 0.595478i | ||||
\(623\) | −14.7769 | + | 12.3993i | −0.592024 | + | 0.496768i | ||||
\(624\) | −2.77651 | + | 15.7464i | −0.111149 | + | 0.630359i | ||||
\(625\) | 27.3894 | − | 9.96891i | 1.09557 | − | 0.398756i | ||||
\(626\) | 12.2647 | 0.490196 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 2.97387 | 0.118671 | ||||||||
\(629\) | −2.57276 | + | 0.936409i | −0.102583 | + | 0.0373371i | ||||
\(630\) | 3.99854 | − | 22.6768i | 0.159306 | − | 0.903466i | ||||
\(631\) | −9.88247 | + | 8.29237i | −0.393415 | + | 0.330114i | −0.817942 | − | 0.575301i | \(-0.804885\pi\) |
0.424527 | + | 0.905415i | \(0.360440\pi\) | |||||||
\(632\) | −4.52853 | − | 3.79989i | −0.180135 | − | 0.151152i | ||||
\(633\) | −3.55184 | − | 20.1435i | −0.141173 | − | 0.800633i | ||||
\(634\) | 0.136152 | + | 0.235823i | 0.00540731 | + | 0.00936573i | ||||
\(635\) | −1.39747 | + | 2.42049i | −0.0554569 | + | 0.0960542i | ||||
\(636\) | −3.48184 | − | 1.26729i | −0.138064 | − | 0.0502512i | ||||
\(637\) | −4.79476 | − | 1.74515i | −0.189975 | − | 0.0691453i | ||||
\(638\) | 4.97834 | − | 8.62275i | 0.197095 | − | 0.341378i | ||||
\(639\) | 11.7239 | + | 20.3065i | 0.463792 | + | 0.803311i | ||||
\(640\) | −0.427114 | − | 2.42228i | −0.0168831 | − | 0.0957491i | ||||
\(641\) | −22.1110 | − | 18.5534i | −0.873333 | − | 0.732814i | 0.0914641 | − | 0.995808i | \(-0.470845\pi\) |
−0.964797 | + | 0.262995i | \(0.915290\pi\) | |||||||
\(642\) | 5.46052 | − | 4.58192i | 0.215510 | − | 0.180834i | ||||
\(643\) | 4.57380 | − | 25.9393i | 0.180373 | − | 1.02295i | −0.751385 | − | 0.659864i | \(-0.770614\pi\) |
0.931758 | − | 0.363081i | \(-0.118275\pi\) | |||||||
\(644\) | −6.55995 | + | 2.38763i | −0.258498 | + | 0.0940856i | ||||
\(645\) | 17.7982 | 0.700803 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −3.04601 | −0.119751 | −0.0598756 | − | 0.998206i | \(-0.519070\pi\) | ||||
−0.0598756 | + | 0.998206i | \(0.519070\pi\) | |||||||
\(648\) | 7.35148 | − | 2.67572i | 0.288793 | − | 0.105112i | ||||
\(649\) | 1.44647 | − | 8.20335i | 0.0567790 | − | 0.322010i | ||||
\(650\) | 5.10264 | − | 4.28162i | 0.200142 | − | 0.167939i | ||||
\(651\) | 39.2843 | + | 32.9635i | 1.53967 | + | 1.29194i | ||||
\(652\) | 0.971025 | + | 5.50695i | 0.0380283 | + | 0.215669i | ||||
\(653\) | 7.59866 | + | 13.1613i | 0.297359 | + | 0.515040i | 0.975531 | − | 0.219863i | \(-0.0705610\pi\) |
−0.678172 | + | 0.734903i | \(0.737228\pi\) | |||||||
\(654\) | 2.17412 | − | 3.76568i | 0.0850148 | − | 0.147250i | ||||
\(655\) | −41.2373 | − | 15.0092i | −1.61128 | − | 0.586456i | ||||
\(656\) | 2.45017 | + | 0.891788i | 0.0956629 | + | 0.0348185i | ||||
\(657\) | 10.3654 | − | 17.9534i | 0.404393 | − | 0.700429i | ||||
\(658\) | 1.04145 | + | 1.80384i | 0.0405998 | + | 0.0703209i | ||||
\(659\) | 3.10380 | + | 17.6025i | 0.120907 | + | 0.685697i | 0.983655 | + | 0.180063i | \(0.0576303\pi\) |
−0.862748 | + | 0.505634i | \(0.831259\pi\) | |||||||
\(660\) | −7.97044 | − | 6.68800i | −0.310249 | − | 0.260330i | ||||
\(661\) | 28.9967 | − | 24.3311i | 1.12784 | − | 0.946371i | 0.128868 | − | 0.991662i | \(-0.458866\pi\) |
0.998974 | + | 0.0452905i | \(0.0144213\pi\) | |||||||
\(662\) | −3.47175 | + | 19.6893i | −0.134933 | + | 0.765245i | ||||
\(663\) | 74.6618 | − | 27.1747i | 2.89963 | − | 1.05538i | ||||
\(664\) | 15.1773 | 0.588994 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 1.84638 | 0.0715460 | ||||||||
\(667\) | 13.9290 | − | 5.06975i | 0.539334 | − | 0.196302i | ||||
\(668\) | −1.23006 | + | 6.97599i | −0.0475923 | + | 0.269909i | ||||
\(669\) | −20.7611 | + | 17.4206i | −0.802671 | + | 0.673521i | ||||
\(670\) | −21.7822 | − | 18.2774i | −0.841520 | − | 0.706119i | ||||
\(671\) | −2.72145 | − | 15.4341i | −0.105060 | − | 0.595827i | ||||
\(672\) | −3.52015 | − | 6.09707i | −0.135793 | − | 0.235200i | ||||
\(673\) | 4.14230 | − | 7.17468i | 0.159674 | − | 0.276564i | −0.775077 | − | 0.631867i | \(-0.782289\pi\) |
0.934751 | + | 0.355303i | \(0.115622\pi\) | |||||||
\(674\) | 16.2402 | + | 5.91093i | 0.625548 | + | 0.227681i | ||||
\(675\) | 0.873034 | + | 0.317758i | 0.0336031 | + | 0.0122305i | ||||
\(676\) | −13.6268 | + | 23.6024i | −0.524109 | + | 0.907783i | ||||
\(677\) | 9.16167 | + | 15.8685i | 0.352111 | + | 0.609875i | 0.986619 | − | 0.163042i | \(-0.0521305\pi\) |
−0.634508 | + | 0.772917i | \(0.718797\pi\) | |||||||
\(678\) | 0.187207 | + | 1.06170i | 0.00718963 | + | 0.0407744i | ||||
\(679\) | −30.7894 | − | 25.8353i | −1.18159 | − | 0.991469i | ||||
\(680\) | −9.36292 | + | 7.85643i | −0.359052 | + | 0.301280i | ||||
\(681\) | −11.8567 | + | 67.2425i | −0.454349 | + | 2.57674i | ||||
\(682\) | 11.4892 | − | 4.18173i | 0.439944 | − | 0.160127i | ||||
\(683\) | −49.2217 | −1.88342 | −0.941709 | − | 0.336429i | \(-0.890781\pi\) | ||||
−0.941709 | + | 0.336429i | \(0.890781\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 39.1469 | 1.49573 | ||||||||
\(686\) | −16.2647 | + | 5.91987i | −0.620989 | + | 0.226022i | ||||
\(687\) | −4.14231 | + | 23.4922i | −0.158039 | + | 0.896284i | ||||
\(688\) | 2.19953 | − | 1.84563i | 0.0838565 | − | 0.0703639i | ||||
\(689\) | −7.14585 | − | 5.99608i | −0.272235 | − | 0.228433i | ||||
\(690\) | −2.68979 | − | 15.2546i | −0.102399 | − | 0.580732i | ||||
\(691\) | −8.33895 | − | 14.4435i | −0.317229 | − | 0.549456i | 0.662680 | − | 0.748903i | \(-0.269419\pi\) |
−0.979909 | + | 0.199446i | \(0.936086\pi\) | |||||||
\(692\) | 11.5104 | − | 19.9366i | 0.437560 | − | 0.757876i | ||||
\(693\) | −14.7663 | − | 5.37451i | −0.560927 | − | 0.204161i | ||||
\(694\) | 17.4271 | + | 6.34296i | 0.661525 | + | 0.240776i | ||||
\(695\) | 12.4460 | − | 21.5572i | 0.472105 | − | 0.817710i | ||||
\(696\) | 7.47449 | + | 12.9462i | 0.283320 | + | 0.490724i | ||||
\(697\) | −2.24991 | − | 12.7598i | −0.0852212 | − | 0.483314i | ||||
\(698\) | −15.4136 | − | 12.9335i | −0.583413 | − | 0.489542i | ||||
\(699\) | −44.1363 | + | 37.0348i | −1.66939 | + | 1.40078i | ||||
\(700\) | −0.509299 | + | 2.88838i | −0.0192497 | + | 0.109171i | ||||
\(701\) | 29.0427 | − | 10.5707i | 1.09693 | − | 0.399249i | 0.270745 | − | 0.962651i | \(-0.412730\pi\) |
0.826183 | + | 0.563402i | \(0.190508\pi\) | |||||||
\(702\) | −5.61449 | −0.211905 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | −1.67853 | −0.0632620 | ||||||||
\(705\) | −4.34297 | + | 1.58071i | −0.163566 | + | 0.0595331i | ||||
\(706\) | 4.17723 | − | 23.6902i | 0.157212 | − | 0.891593i | ||||
\(707\) | −24.1457 | + | 20.2607i | −0.908094 | + | 0.761982i | ||||
\(708\) | 9.58054 | + | 8.03903i | 0.360059 | + | 0.302125i | ||||
\(709\) | 6.96426 | + | 39.4963i | 0.261548 | + | 1.48331i | 0.778687 | + | 0.627413i | \(0.215886\pi\) |
−0.517139 | + | 0.855902i | \(0.673003\pi\) | |||||||
\(710\) | −8.60506 | − | 14.9044i | −0.322942 | − | 0.559352i | ||||
\(711\) | 9.90527 | − | 17.1564i | 0.371477 | − | 0.643417i | ||||
\(712\) | −6.48859 | − | 2.36166i | −0.243170 | − | 0.0885068i | ||||
\(713\) | 17.1045 | + | 6.22552i | 0.640568 | + | 0.233148i | ||||
\(714\) | −17.4922 | + | 30.2974i | −0.654630 | + | 1.13385i | ||||
\(715\) | −13.0971 | − | 22.6849i | −0.489804 | − | 0.848365i | ||||
\(716\) | 1.42647 | + | 8.08991i | 0.0533097 | + | 0.302334i | ||||
\(717\) | −16.7303 | − | 14.0384i | −0.624805 | − | 0.524274i | ||||
\(718\) | −8.31423 | + | 6.97647i | −0.310284 | + | 0.260360i | ||||
\(719\) | −7.92754 | + | 44.9593i | −0.295647 | + | 1.67670i | 0.368913 | + | 0.929464i | \(0.379730\pi\) |
−0.664560 | + | 0.747235i | \(0.731381\pi\) | |||||||
\(720\) | 7.74554 | − | 2.81915i | 0.288659 | − | 0.105063i | ||||
\(721\) | −41.4235 | −1.54269 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −14.2596 | −0.530322 | ||||||||
\(724\) | 12.2159 | − | 4.44622i | 0.454000 | − | 0.165243i | ||||
\(725\) | 1.08142 | − | 6.13303i | 0.0401629 | − | 0.227775i | ||||
\(726\) | 15.7967 | − | 13.2550i | 0.586272 | − | 0.491941i | ||||
\(727\) | −11.6294 | − | 9.75819i | −0.431309 | − | 0.361911i | 0.401136 | − | 0.916018i | \(-0.368615\pi\) |
−0.832445 | + | 0.554107i | \(0.813060\pi\) | |||||||
\(728\) | −3.07778 | − | 17.4550i | −0.114070 | − | 0.646924i | ||||
\(729\) | 16.4537 | + | 28.4986i | 0.609395 | + | 1.05550i | ||||
\(730\) | −7.60793 | + | 13.1773i | −0.281582 | + | 0.487715i | ||||
\(731\) | −13.4075 | − | 4.87992i | −0.495893 | − | 0.180490i | ||||
\(732\) | 22.1112 | + | 8.04782i | 0.817254 | + | 0.297456i | ||||
\(733\) | 13.4993 | − | 23.3815i | 0.498608 | − | 0.863615i | −0.501390 | − | 0.865221i | \(-0.667178\pi\) |
0.999999 | + | 0.00160611i | \(0.000511240\pi\) | |||||||
\(734\) | 16.3060 | + | 28.2429i | 0.601867 | + | 1.04246i | ||||
\(735\) | 0.865660 | + | 4.90940i | 0.0319304 | + | 0.181086i | ||||
\(736\) | −1.91427 | − | 1.60626i | −0.0705610 | − | 0.0592077i | ||||
\(737\) | −14.8648 | + | 12.4730i | −0.547550 | + | 0.459449i | ||||
\(738\) | −1.51730 | + | 8.60506i | −0.0558527 | + | 0.316757i | ||||
\(739\) | 4.89375 | − | 1.78118i | 0.180020 | − | 0.0655217i | −0.250438 | − | 0.968133i | \(-0.580575\pi\) |
0.430457 | + | 0.902611i | \(0.358352\pi\) | |||||||
\(740\) | −1.35520 | −0.0498181 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 4.10736 | 0.150786 | ||||||||
\(743\) | −20.7746 | + | 7.56134i | −0.762146 | + | 0.277398i | −0.693707 | − | 0.720257i | \(-0.744024\pi\) |
−0.0684386 | + | 0.997655i | \(0.521802\pi\) | |||||||
\(744\) | −3.18765 | + | 18.0781i | −0.116865 | + | 0.662774i | ||||
\(745\) | −17.7087 | + | 14.8593i | −0.648796 | + | 0.544404i | ||||
\(746\) | −4.06155 | − | 3.40805i | −0.148704 | − | 0.124777i | ||||
\(747\) | 8.83198 | + | 50.0886i | 0.323145 | + | 1.83265i | ||||
\(748\) | 4.17046 | + | 7.22345i | 0.152487 | + | 0.264115i | ||||
\(749\) | −3.95084 | + | 6.84305i | −0.144360 | + | 0.250040i | ||||
\(750\) | 23.0089 | + | 8.37455i | 0.840166 | + | 0.305795i | ||||
\(751\) | 11.7424 | + | 4.27387i | 0.428485 | + | 0.155956i | 0.547255 | − | 0.836966i | \(-0.315673\pi\) |
−0.118770 | + | 0.992922i | \(0.537895\pi\) | |||||||
\(752\) | −0.372797 | + | 0.645703i | −0.0135945 | + | 0.0235464i | ||||
\(753\) | −17.0806 | − | 29.5844i | −0.622451 | − | 1.07812i | ||||
\(754\) | 6.53519 | + | 37.0629i | 0.237998 | + | 1.34975i | ||||
\(755\) | 19.3380 | + | 16.2265i | 0.703782 | + | 0.590543i | ||||
\(756\) | 1.89377 | − | 1.58906i | 0.0688756 | − | 0.0577935i | ||||
\(757\) | −5.38289 | + | 30.5279i | −0.195645 | + | 1.10956i | 0.715853 | + | 0.698251i | \(0.246038\pi\) |
−0.911498 | + | 0.411305i | \(0.865073\pi\) | |||||||
\(758\) | −23.1781 | + | 8.43613i | −0.841866 | + | 0.306414i | ||||
\(759\) | −10.5707 | −0.383693 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 1.96398 | 0.0711941 | 0.0355971 | − | 0.999366i | \(-0.488667\pi\) | ||||
0.0355971 | + | 0.999366i | \(0.488667\pi\) | |||||||
\(762\) | −2.69098 | + | 0.979438i | −0.0974840 | + | 0.0354813i | ||||
\(763\) | −0.836994 | + | 4.74683i | −0.0303012 | + | 0.171847i | ||||
\(764\) | 5.03658 | − | 4.22620i | 0.182217 | − | 0.152898i | ||||
\(765\) | −31.3765 | − | 26.3280i | −1.13442 | − | 0.951891i | ||||
\(766\) | 0.632802 | + | 3.58880i | 0.0228641 | + | 0.129668i | ||||
\(767\) | 15.7428 | + | 27.2674i | 0.568441 | + | 0.984568i | ||||
\(768\) | 1.26007 | − | 2.18251i | 0.0454690 | − | 0.0787546i | ||||
\(769\) | 20.9854 | + | 7.63805i | 0.756752 | + | 0.275435i | 0.691444 | − | 0.722430i | \(-0.256975\pi\) |
0.0653077 | + | 0.997865i | \(0.479197\pi\) | |||||||
\(770\) | 10.8381 | + | 3.94475i | 0.390578 | + | 0.142159i | ||||
\(771\) | 12.6502 | − | 21.9108i | 0.455586 | − | 0.789098i | ||||
\(772\) | −13.4413 | − | 23.2810i | −0.483763 | − | 0.837903i | ||||
\(773\) | 4.75020 | + | 26.9397i | 0.170853 | + | 0.968954i | 0.942823 | + | 0.333295i | \(0.108160\pi\) |
−0.771970 | + | 0.635659i | \(0.780728\pi\) | |||||||
\(774\) | 7.37095 | + | 6.18496i | 0.264943 | + | 0.222314i | ||||
\(775\) | 5.85823 | − | 4.91564i | 0.210434 | − | 0.176575i | ||||
\(776\) | 2.49834 | − | 14.1688i | 0.0896852 | − | 0.508630i | ||||
\(777\) | −3.64507 | + | 1.32670i | −0.130766 | + | 0.0475950i | ||||
\(778\) | 2.79353 | 0.100153 | ||||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | 39.3280 | 1.40817 | ||||||||
\(781\) | −11.0364 | + | 4.01691i | −0.394912 | + | 0.143736i | ||||
\(782\) | −2.15627 | + | 12.2288i | −0.0771082 | + | 0.437302i | ||||
\(783\) | −4.02112 | + | 3.37412i | −0.143703 | + | 0.120581i | ||||
\(784\) | 0.616073 | + | 0.516947i | 0.0220026 | + | 0.0184624i | ||||
\(785\) | −1.27018 | − | 7.20356i | −0.0453348 | − | 0.257106i | ||||
\(786\) | −22.4816 | − | 38.9393i | −0.801892 | − | 1.38892i | ||||
\(787\) | −3.89481 | + | 6.74601i | −0.138835 | + | 0.240469i | −0.927056 | − | 0.374923i | \(-0.877669\pi\) |
0.788221 | + | 0.615392i | \(0.211002\pi\) | |||||||
\(788\) | 9.25541 | + | 3.36869i | 0.329710 | + | 0.120005i | ||||
\(789\) | −44.5835 | − | 16.2271i | −1.58721 | − | 0.577699i | ||||
\(790\) | −7.27021 | + | 12.5924i | −0.258662 | + | 0.448017i | ||||
\(791\) | −0.597531 | − | 1.03495i | −0.0212457 | − | 0.0367987i | ||||
\(792\) | −0.976770 | − | 5.53954i | −0.0347080 | − | 0.196839i | ||||
\(793\) | 45.3793 | + | 38.0777i | 1.61146 | + | 1.35218i | ||||
\(794\) | −30.2665 | + | 25.3966i | −1.07412 | + | 0.901292i | ||||
\(795\) | −1.58258 | + | 8.97528i | −0.0561285 | + | 0.318320i | ||||
\(796\) | 19.2318 | − | 6.99982i | 0.681655 | − | 0.248102i | ||||
\(797\) | −6.09655 | −0.215951 | −0.107975 | − | 0.994154i | \(-0.534437\pi\) | ||||
−0.107975 | + | 0.994154i | \(0.534437\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 3.70498 | 0.131073 | ||||||||
\(800\) | −0.986561 | + | 0.359079i | −0.0348802 | + | 0.0126953i | ||||
\(801\) | 4.01816 | − | 22.7881i | 0.141975 | − | 0.805179i | ||||
\(802\) | −14.2649 | + | 11.9696i | −0.503710 | + | 0.422663i | ||||
\(803\) | 7.95439 | + | 6.67453i | 0.280704 | + | 0.235539i | ||||
\(804\) | −5.05907 | − | 28.6914i | −0.178420 | − | 1.01187i | ||||
\(805\) | 8.58534 | + | 14.8703i | 0.302594 | + | 0.524108i | ||||
\(806\) | −23.1072 | + | 40.0228i | −0.813916 | + | 1.40974i | ||||
\(807\) | −38.7969 | − | 14.1209i | −1.36571 | − | 0.497079i | ||||
\(808\) | −10.6025 | − | 3.85899i | −0.372994 | − | 0.135759i | ||||
\(809\) | −28.4228 | + | 49.2297i | −0.999291 | + | 1.73082i | −0.467047 | + | 0.884232i | \(0.654682\pi\) |
−0.532244 | + | 0.846591i | \(0.678651\pi\) | |||||||
\(810\) | −9.62126 | − | 16.6645i | −0.338057 | − | 0.585531i | ||||
\(811\) | −3.63287 | − | 20.6030i | −0.127567 | − | 0.723470i | −0.979750 | − | 0.200226i | \(-0.935832\pi\) |
0.852182 | − | 0.523245i | \(-0.175279\pi\) | |||||||
\(812\) | −12.6942 | − | 10.6517i | −0.445478 | − | 0.373800i | ||||
\(813\) | 5.34150 | − | 4.48205i | 0.187335 | − | 0.157192i | ||||
\(814\) | −0.160594 | + | 0.910774i | −0.00562882 | + | 0.0319226i | ||||
\(815\) | 12.9247 | − | 4.70419i | 0.452731 | − | 0.164781i | ||||
\(816\) | −12.5231 | −0.438394 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | −17.1433 | −0.599401 | ||||||||
\(819\) | 55.8144 | − | 20.3148i | 1.95031 | − | 0.709856i | ||||
\(820\) | 1.11366 | − | 6.31589i | 0.0388907 | − | 0.220560i | ||||
\(821\) | 12.4545 | − | 10.4506i | 0.434666 | − | 0.364728i | −0.399043 | − | 0.916932i | \(-0.630658\pi\) |
0.833709 | + | 0.552204i | \(0.186213\pi\) | |||||||
\(822\) | 30.7259 | + | 25.7821i | 1.07169 | + | 0.899252i | ||||
\(823\) | −3.04455 | − | 17.2665i | −0.106126 | − | 0.601872i | −0.990765 | − | 0.135594i | \(-0.956706\pi\) |
0.884638 | − | 0.466278i | \(-0.154405\pi\) | |||||||
\(824\) | −7.41399 | − | 12.8414i | −0.258279 | − | 0.447352i | ||||
\(825\) | −2.22056 | + | 3.84613i | −0.0773101 | + | 0.133905i | ||||
\(826\) | −13.0275 | − | 4.74162i | −0.453285 | − | 0.164982i | ||||
\(827\) | 15.9986 | + | 5.82302i | 0.556326 | + | 0.202486i | 0.604855 | − | 0.796336i | \(-0.293231\pi\) |
−0.0485288 | + | 0.998822i | \(0.515453\pi\) | |||||||
\(828\) | 4.18709 | − | 7.25225i | 0.145511 | − | 0.252033i | ||||
\(829\) | 2.88103 | + | 4.99010i | 0.100062 | + | 0.173313i | 0.911710 | − | 0.410834i | \(-0.134762\pi\) |
−0.811648 | + | 0.584147i | \(0.801429\pi\) | |||||||
\(830\) | −6.48244 | − | 36.7638i | −0.225009 | − | 1.27609i | ||||
\(831\) | −47.3604 | − | 39.7401i | −1.64291 | − | 1.37857i | ||||
\(832\) | 4.86023 | − | 4.07822i | 0.168498 | − | 0.141387i | ||||
\(833\) | 0.693957 | − | 3.93563i | 0.0240442 | − | 0.136361i | ||||
\(834\) | 23.9662 | − | 8.72299i | 0.829882 | − | 0.302052i | ||||
\(835\) | 17.4232 | 0.602954 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −6.44588 | −0.222802 | ||||||||
\(838\) | 17.3883 | − | 6.32881i | 0.600668 | − | 0.218625i | ||||
\(839\) | 1.54539 | − | 8.76433i | 0.0533527 | − | 0.302578i | −0.946441 | − | 0.322876i | \(-0.895350\pi\) |
0.999794 | + | 0.0202977i | \(0.00646141\pi\) | |||||||
\(840\) | −13.2653 | + | 11.1309i | −0.457697 | + | 0.384054i | ||||
\(841\) | 4.73881 | + | 3.97634i | 0.163407 | + | 0.137115i | ||||
\(842\) | −2.81303 | − | 15.9535i | −0.0969435 | − | 0.549794i | ||||
\(843\) | 12.8154 | + | 22.1969i | 0.441386 | + | 0.764503i | ||||
\(844\) | −4.05815 | + | 7.02892i | −0.139687 | + | 0.241945i | ||||
\(845\) | 62.9918 | + | 22.9271i | 2.16698 | + | 0.788717i | ||||
\(846\) | −2.34791 | − | 0.854568i | −0.0807226 | − | 0.0293806i | ||||
\(847\) | −11.4294 | + | 19.7963i | −0.392718 | + | 0.680208i | ||||
\(848\) | 0.735136 | + | 1.27329i | 0.0252447 | + | 0.0437250i | ||||
\(849\) | −12.1080 | − | 68.6676i | −0.415544 | − | 2.35667i | ||||
\(850\) | 3.99647 | + | 3.35343i | 0.137078 | + | 0.115022i | ||||
\(851\) | −1.05471 | + | 0.885007i | −0.0361550 | + | 0.0303376i | ||||
\(852\) | 3.06201 | − | 17.3655i | 0.104903 | − | 0.594933i | ||||
\(853\) | −2.62094 | + | 0.953946i | −0.0897394 | + | 0.0326625i | −0.386500 | − | 0.922290i | \(-0.626316\pi\) |
0.296760 | + | 0.954952i | \(0.404094\pi\) | |||||||
\(854\) | −26.0835 | −0.892559 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −2.82849 | −0.0966757 | ||||||||
\(857\) | −15.4058 | + | 5.60724i | −0.526251 | + | 0.191540i | −0.591464 | − | 0.806332i | \(-0.701450\pi\) |
0.0652127 | + | 0.997871i | \(0.479227\pi\) | |||||||
\(858\) | 4.66045 | − | 26.4307i | 0.159105 | − | 0.902331i | ||||
\(859\) | 7.29661 | − | 6.12258i | 0.248957 | − | 0.208900i | −0.509766 | − | 0.860313i | \(-0.670268\pi\) |
0.758723 | + | 0.651413i | \(0.225824\pi\) | |||||||
\(860\) | −5.41008 | − | 4.53960i | −0.184482 | − | 0.154799i | ||||
\(861\) | −3.18765 | − | 18.0781i | −0.108635 | − | 0.616099i | ||||
\(862\) | −6.34983 | − | 10.9982i | −0.216276 | − | 0.374601i | ||||
\(863\) | 25.3382 | − | 43.8871i | 0.862523 | − | 1.49393i | −0.00696312 | − | 0.999976i | \(-0.502216\pi\) |
0.869486 | − | 0.493958i | \(-0.164450\pi\) | |||||||
\(864\) | 0.831559 | + | 0.302663i | 0.0282902 | + | 0.0102968i | ||||
\(865\) | −53.2083 | − | 19.3662i | −1.80914 | − | 0.658472i | ||||
\(866\) | −7.11751 | + | 12.3279i | −0.241863 | + | 0.418919i | ||||
\(867\) | 9.69337 | + | 16.7894i | 0.329204 | + | 0.570198i | ||||
\(868\) | −3.53354 | − | 20.0397i | −0.119936 | − | 0.680191i | ||||
\(869\) | 7.60129 | + | 6.37824i | 0.257856 | + | 0.216367i | ||||
\(870\) | 28.1669 | − | 23.6348i | 0.954946 | − | 0.801295i | ||||
\(871\) | 12.7364 | − | 72.2318i | 0.431557 | − | 2.44748i | ||||
\(872\) | −1.62134 | + | 0.590118i | −0.0549054 | + | 0.0199839i | ||||
\(873\) | 48.2141 | 1.63180 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −27.1424 | −0.917582 | ||||||||
\(876\) | −14.6499 | + | 5.33213i | −0.494975 | + | 0.180156i | ||||
\(877\) | 3.34409 | − | 18.9653i | 0.112922 | − | 0.640412i | −0.874836 | − | 0.484419i | \(-0.839031\pi\) |
0.987758 | − | 0.155993i | \(-0.0498577\pi\) | |||||||
\(878\) | 21.5948 | − | 18.1202i | 0.728790 | − | 0.611527i | ||||
\(879\) | −46.0215 | − | 38.6166i | −1.55227 | − | 1.30251i | ||||
\(880\) | 0.716924 | + | 4.06588i | 0.0241675 | + | 0.137061i | ||||
\(881\) | −9.55379 | − | 16.5476i | −0.321875 | − | 0.557504i | 0.659000 | − | 0.752143i | \(-0.270980\pi\) |
−0.980875 | + | 0.194639i | \(0.937646\pi\) | |||||||
\(882\) | −1.34754 | + | 2.33400i | −0.0453739 | + | 0.0785900i | ||||
\(883\) | −46.9827 | − | 17.1003i | −1.58109 | − | 0.575471i | −0.605653 | − | 0.795729i | \(-0.707088\pi\) |
−0.975442 | + | 0.220257i | \(0.929310\pi\) | |||||||
\(884\) | −29.6260 | − | 10.7830i | −0.996430 | − | 0.362671i | ||||
\(885\) | 15.3808 | − | 26.6404i | 0.517020 | − | 0.895506i | ||||
\(886\) | 16.4972 | + | 28.5740i | 0.554234 | + | 0.959961i | ||||
\(887\) | 6.87985 | + | 39.0176i | 0.231003 | + | 1.31008i | 0.850871 | + | 0.525375i | \(0.176075\pi\) |
−0.619868 | + | 0.784706i | \(0.712814\pi\) | |||||||
\(888\) | −1.06368 | − | 0.892530i | −0.0356946 | − | 0.0299514i | ||||
\(889\) | 2.43175 | − | 2.04048i | 0.0815581 | − | 0.0684354i | ||||
\(890\) | −2.94923 | + | 16.7259i | −0.0988583 | + | 0.560653i | ||||
\(891\) | −12.3397 | + | 4.49128i | −0.413395 | + | 0.150463i | ||||
\(892\) | 10.7540 | 0.360071 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | −23.6856 | −0.792166 | ||||||||
\(895\) | 18.9868 | − | 6.91062i | 0.634658 | − | 0.230997i | ||||
\(896\) | −0.485104 | + | 2.75116i | −0.0162062 | + | 0.0919099i | ||||
\(897\) | 30.6078 | − | 25.6830i | 1.02196 | − | 0.857530i | ||||
\(898\) | −13.1741 | − | 11.0544i | −0.439624 | − | 0.368889i | ||||
\(899\) | 7.50292 | + | 42.5512i | 0.250236 | + | 1.41916i | ||||
\(900\) | −1.75914 | − | 3.04692i | −0.0586380 | − | 0.101564i | ||||
\(901\) | 3.65302 | − | 6.32721i | 0.121700 | − | 0.210790i | ||||
\(902\) | −4.11268 | − | 1.49689i | −0.136937 | − | 0.0498411i | ||||
\(903\) | −18.9956 | − | 6.91384i | −0.632135 | − | 0.230078i | ||||
\(904\) | 0.213892 | − | 0.370473i | 0.00711396 | − | 0.0123217i | ||||
\(905\) | −15.9876 | − | 27.6913i | −0.531445 | − | 0.920490i | ||||
\(906\) | 4.49139 | + | 25.4719i | 0.149216 | + | 0.846248i | ||||
\(907\) | 42.3274 | + | 35.5169i | 1.40546 | + | 1.17932i | 0.958614 | + | 0.284707i | \(0.0918965\pi\) |
0.446844 | + | 0.894612i | \(0.352548\pi\) | |||||||
\(908\) | 20.7549 | − | 17.4154i | 0.688776 | − | 0.577951i | ||||
\(909\) | 6.56576 | − | 37.2362i | 0.217772 | − | 1.23505i | ||||
\(910\) | −40.9663 | + | 14.9105i | −1.35802 | + | 0.494279i | ||||
\(911\) | 27.7087 | 0.918031 | 0.459015 | − | 0.888428i | \(-0.348202\pi\) | ||||
0.459015 | + | 0.888428i | \(0.348202\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −25.4756 | −0.843120 | ||||||||
\(914\) | 29.2730 | − | 10.6545i | 0.968266 | − | 0.352420i | ||||
\(915\) | 10.0501 | − | 56.9969i | 0.332246 | − | 1.88426i | ||||
\(916\) | 7.25105 | − | 6.08435i | 0.239581 | − | 0.201033i | ||||
\(917\) | 38.1813 | + | 32.0379i | 1.26086 | + | 1.05798i | ||||
\(918\) | −0.763593 | − | 4.33055i | −0.0252023 | − | 0.142929i | ||||
\(919\) | −13.6250 | − | 23.5992i | −0.449447 | − | 0.778465i | 0.548903 | − | 0.835886i | \(-0.315046\pi\) |
−0.998350 | + | 0.0574208i | \(0.981712\pi\) | |||||||
\(920\) | −3.07321 | + | 5.32296i | −0.101321 | + | 0.175493i | ||||
\(921\) | 61.5449 | + | 22.4005i | 2.02797 | + | 0.738122i | ||||
\(922\) | −14.6038 | − | 5.31533i | −0.480949 | − | 0.175051i | ||||
\(923\) | 22.1964 | − | 38.4454i | 0.730605 | − | 1.26544i | ||||
\(924\) | 5.90868 | + | 10.2341i | 0.194381 | + | 0.336678i | ||||
\(925\) | 0.100447 | + | 0.569664i | 0.00330268 | + | 0.0187304i | ||||
\(926\) | 15.8301 | + | 13.2831i | 0.520211 | + | 0.436509i | ||||
\(927\) | 38.0652 | − | 31.9405i | 1.25023 | − | 1.04906i | ||||
\(928\) | 1.03004 | − | 5.84167i | 0.0338128 | − | 0.191762i | ||||
\(929\) | −41.7609 | + | 15.1997i | −1.37013 | + | 0.498686i | −0.919171 | − | 0.393859i | \(-0.871140\pi\) |
−0.450958 | + | 0.892545i | \(0.648918\pi\) | |||||||
\(930\) | 45.1517 | 1.48058 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 22.8621 | 0.748873 | ||||||||
\(933\) | −54.7149 | + | 19.9146i | −1.79128 | + | 0.651974i | ||||
\(934\) | −4.94601 | + | 28.0502i | −0.161839 | + | 0.917832i | ||||
\(935\) | 15.7160 | − | 13.1873i | 0.513967 | − | 0.431269i | ||||
\(936\) | 16.2873 | + | 13.6667i | 0.532367 | + | 0.446709i | ||||
\(937\) | −3.16208 | − | 17.9331i | −0.103301 | − | 0.585847i | −0.991885 | − | 0.127135i | \(-0.959422\pi\) |
0.888585 | − | 0.458712i | \(-0.151689\pi\) | |||||||
\(938\) | 16.1477 | + | 27.9686i | 0.527239 | + | 0.913206i | ||||
\(939\) | 15.4544 | − | 26.7678i | 0.504336 | − | 0.873536i | ||||
\(940\) | 1.72330 | + | 0.627230i | 0.0562079 | + | 0.0204580i | ||||
\(941\) | 37.8396 | + | 13.7725i | 1.23353 | + | 0.448970i | 0.874807 | − | 0.484472i | \(-0.160988\pi\) |
0.358728 | + | 0.933442i | \(0.383211\pi\) | |||||||
\(942\) | 3.74730 | − | 6.49052i | 0.122094 | − | 0.211472i | ||||
\(943\) | −3.25784 | − | 5.64274i | −0.106090 | − | 0.183753i | ||||
\(944\) | −0.861748 | − | 4.88722i | −0.0280475 | − | 0.159065i | ||||
\(945\) | −4.65800 | − | 3.90853i | −0.151525 | − | 0.127144i | ||||
\(946\) | −3.69199 | + | 3.09795i | −0.120037 | + | 0.100723i | ||||
\(947\) | 1.10538 | − | 6.26890i | 0.0359199 | − | 0.203712i | −0.961566 | − | 0.274573i | \(-0.911464\pi\) |
0.997486 | + | 0.0708610i | \(0.0225747\pi\) | |||||||
\(948\) | −13.9996 | + | 5.09544i | −0.454686 | + | 0.165492i | ||||
\(949\) | −39.2488 | −1.27407 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0.686248 | 0.0222531 | ||||||||
\(952\) | 13.0447 | − | 4.74789i | 0.422782 | − | 0.153880i | ||||
\(953\) | −5.67732 | + | 32.1977i | −0.183906 | + | 1.04299i | 0.743446 | + | 0.668796i | \(0.233190\pi\) |
−0.927352 | + | 0.374189i | \(0.877921\pi\) | |||||||
\(954\) | −3.77437 | + | 3.16707i | −0.122200 | + | 0.102538i | ||||
\(955\) | −12.3882 | − | 10.3950i | −0.400874 | − | 0.336373i | ||||
\(956\) | 1.50486 | + | 8.53446i | 0.0486705 | + | 0.276024i | ||||
\(957\) | −12.5462 | − | 21.7306i | −0.405560 | − | 0.702450i | ||||
\(958\) | 5.23632 | − | 9.06958i | 0.169178 | − | 0.293025i | ||||
\(959\) | −41.7806 | − | 15.2069i | −1.34917 | − | 0.491056i | ||||
\(960\) | −5.82485 | − | 2.12007i | −0.187996 | − | 0.0684251i | ||||
\(961\) | −11.0289 | + | 19.1026i | −0.355771 | + | 0.616214i | ||||
\(962\) | −1.74784 | − | 3.02735i | −0.0563527 | − | 0.0976057i | ||||
\(963\) | −1.64595 | − | 9.33466i | −0.0530400 | − | 0.300805i | ||||
\(964\) | 4.33448 | + | 3.63706i | 0.139604 | + | 0.117142i | ||||
\(965\) | −50.6523 | + | 42.5023i | −1.63055 | + | 1.36820i | ||||
\(966\) | −3.05500 | + | 17.3257i | −0.0982929 | + | 0.557447i | ||||
\(967\) | −8.04317 | + | 2.92747i | −0.258651 | + | 0.0941412i | −0.468091 | − | 0.883680i | \(-0.655058\pi\) |
0.209440 | + | 0.977821i | \(0.432836\pi\) | |||||||
\(968\) | −8.18253 | −0.262997 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −35.3879 | −1.13624 | ||||||||
\(971\) | 39.3533 | − | 14.3234i | 1.26291 | − | 0.459660i | 0.378163 | − | 0.925739i | \(-0.376556\pi\) |
0.884743 | + | 0.466079i | \(0.154334\pi\) | |||||||
\(972\) | 3.88461 | − | 22.0307i | 0.124599 | − | 0.706636i | ||||
\(973\) | −21.6574 | + | 18.1727i | −0.694305 | + | 0.582591i | ||||
\(974\) | 1.76109 | + | 1.47773i | 0.0564290 | + | 0.0473495i | ||||
\(975\) | −2.91499 | − | 16.5317i | −0.0933543 | − | 0.529439i | ||||
\(976\) | −4.66843 | − | 8.08596i | −0.149433 | − | 0.258825i | ||||
\(977\) | 3.09010 | − | 5.35222i | 0.0988612 | − | 0.171233i | −0.812352 | − | 0.583167i | \(-0.801813\pi\) |
0.911214 | + | 0.411934i | \(0.135147\pi\) | |||||||
\(978\) | 13.2426 | + | 4.81990i | 0.423450 | + | 0.154123i | ||||
\(979\) | 10.8913 | + | 3.96411i | 0.348088 | + | 0.126694i | ||||
\(980\) | 0.989057 | − | 1.71310i | 0.0315943 | − | 0.0547229i | ||||
\(981\) | −2.89101 | − | 5.00738i | −0.0923029 | − | 0.159873i | ||||
\(982\) | 2.11177 | + | 11.9764i | 0.0673892 | + | 0.382183i | ||||
\(983\) | 25.7193 | + | 21.5811i | 0.820318 | + | 0.688329i | 0.953047 | − | 0.302824i | \(-0.0979293\pi\) |
−0.132728 | + | 0.991152i | \(0.542374\pi\) | |||||||
\(984\) | 5.03373 | − | 4.22380i | 0.160469 | − | 0.134650i | ||||
\(985\) | 4.20681 | − | 23.8580i | 0.134040 | − | 0.760180i | ||||
\(986\) | −27.6985 | + | 10.0814i | −0.882099 | + | 0.321058i | ||||
\(987\) | 5.24920 | 0.167084 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −7.17507 | −0.228154 | ||||||||
\(990\) | −13.0011 | + | 4.73203i | −0.413203 | + | 0.150394i | ||||
\(991\) | −8.01814 | + | 45.4731i | −0.254705 | + | 1.44450i | 0.542125 | + | 0.840298i | \(0.317620\pi\) |
−0.796830 | + | 0.604204i | \(0.793491\pi\) | |||||||
\(992\) | 5.57993 | − | 4.68212i | 0.177163 | − | 0.148657i | ||||
\(993\) | 38.5974 | + | 32.3870i | 1.22485 | + | 1.02777i | ||||
\(994\) | 3.39427 | + | 19.2498i | 0.107660 | + | 0.610568i | ||||
\(995\) | −25.1697 | − | 43.5952i | −0.797934 | − | 1.38206i | ||||
\(996\) | 19.1245 | − | 33.1247i | 0.605984 | − | 1.04960i | ||||
\(997\) | 0.769731 | + | 0.280159i | 0.0243776 | + | 0.00887273i | 0.354180 | − | 0.935177i | \(-0.384760\pi\) |
−0.329803 | + | 0.944050i | \(0.606982\pi\) | |||||||
\(998\) | −14.2221 | − | 5.17642i | −0.450193 | − | 0.163857i | ||||
\(999\) | 0.243785 | − | 0.422248i | 0.00771302 | − | 0.0133593i |
(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 | 722.2.e.r.423.1 | 24 | ||
19.2 | odd | 18 | 722.2.a.m.1.4 | ✓ | 4 | ||
19.3 | odd | 18 | 722.2.c.n.653.1 | 8 | |||
19.4 | even | 9 | inner | 722.2.e.r.99.1 | 24 | ||
19.5 | even | 9 | 722.2.c.m.429.4 | 8 | |||
19.6 | even | 9 | inner | 722.2.e.r.389.1 | 24 | ||
19.7 | even | 3 | inner | 722.2.e.r.245.1 | 24 | ||
19.8 | odd | 6 | 722.2.e.s.415.1 | 24 | |||
19.9 | even | 9 | inner | 722.2.e.r.595.4 | 24 | ||
19.10 | odd | 18 | 722.2.e.s.595.1 | 24 | |||
19.11 | even | 3 | inner | 722.2.e.r.415.4 | 24 | ||
19.12 | odd | 6 | 722.2.e.s.245.4 | 24 | |||
19.13 | odd | 18 | 722.2.e.s.389.4 | 24 | |||
19.14 | odd | 18 | 722.2.c.n.429.1 | 8 | |||
19.15 | odd | 18 | 722.2.e.s.99.4 | 24 | |||
19.16 | even | 9 | 722.2.c.m.653.4 | 8 | |||
19.17 | even | 9 | 722.2.a.n.1.1 | yes | 4 | ||
19.18 | odd | 2 | 722.2.e.s.423.4 | 24 | |||
57.2 | even | 18 | 6498.2.a.ca.1.4 | 4 | |||
57.17 | odd | 18 | 6498.2.a.bx.1.4 | 4 | |||
76.55 | odd | 18 | 5776.2.a.bt.1.4 | 4 | |||
76.59 | even | 18 | 5776.2.a.bv.1.1 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
722.2.a.m.1.4 | ✓ | 4 | 19.2 | odd | 18 | ||
722.2.a.n.1.1 | yes | 4 | 19.17 | even | 9 | ||
722.2.c.m.429.4 | 8 | 19.5 | even | 9 | |||
722.2.c.m.653.4 | 8 | 19.16 | even | 9 | |||
722.2.c.n.429.1 | 8 | 19.14 | odd | 18 | |||
722.2.c.n.653.1 | 8 | 19.3 | odd | 18 | |||
722.2.e.r.99.1 | 24 | 19.4 | even | 9 | inner | ||
722.2.e.r.245.1 | 24 | 19.7 | even | 3 | inner | ||
722.2.e.r.389.1 | 24 | 19.6 | even | 9 | inner | ||
722.2.e.r.415.4 | 24 | 19.11 | even | 3 | inner | ||
722.2.e.r.423.1 | 24 | 1.1 | even | 1 | trivial | ||
722.2.e.r.595.4 | 24 | 19.9 | even | 9 | inner | ||
722.2.e.s.99.4 | 24 | 19.15 | odd | 18 | |||
722.2.e.s.245.4 | 24 | 19.12 | odd | 6 | |||
722.2.e.s.389.4 | 24 | 19.13 | odd | 18 | |||
722.2.e.s.415.1 | 24 | 19.8 | odd | 6 | |||
722.2.e.s.423.4 | 24 | 19.18 | odd | 2 | |||
722.2.e.s.595.1 | 24 | 19.10 | odd | 18 | |||
5776.2.a.bt.1.4 | 4 | 76.55 | odd | 18 | |||
5776.2.a.bv.1.1 | 4 | 76.59 | even | 18 | |||
6498.2.a.bx.1.4 | 4 | 57.17 | odd | 18 | |||
6498.2.a.ca.1.4 | 4 | 57.2 | even | 18 |