Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [48,2,Mod(13,48)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(48, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 3, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("48.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 48 = 2^{4} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 48.j (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.383281929702\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(i)\) |
Coefficient field: | 8.0.18939904.2 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 4x^{7} + 14x^{6} - 28x^{5} + 43x^{4} - 44x^{3} + 30x^{2} - 12x + 2 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 2 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 13.4 | ||
Root | \(0.500000 + 0.0297061i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 48.13 |
Dual form | 48.2.j.a.37.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/48\mathbb{Z}\right)^\times\).
\(n\) | \(17\) | \(31\) | \(37\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.874559 | + | 1.11137i | 0.618406 | + | 0.785858i | ||||
\(3\) | −0.707107 | − | 0.707107i | −0.408248 | − | 0.408248i | ||||
\(4\) | −0.470294 | + | 1.94392i | −0.235147 | + | 0.971960i | ||||
\(5\) | −0.334904 | + | 0.334904i | −0.149774 | + | 0.149774i | −0.778017 | − | 0.628243i | \(-0.783774\pi\) |
0.628243 | + | 0.778017i | \(0.283774\pi\) | |||||||
\(6\) | 0.167452 | − | 1.40426i | 0.0683620 | − | 0.573289i | ||||
\(7\) | − | 4.55765i | − | 1.72263i | −0.508072 | − | 0.861314i | \(-0.669642\pi\) | ||
0.508072 | − | 0.861314i | \(-0.330358\pi\) | |||||||
\(8\) | −2.57172 | + | 1.17740i | −0.909239 | + | 0.416274i | ||||
\(9\) | 1.00000i | 0.333333i | ||||||||
\(10\) | −0.665096 | − | 0.0793096i | −0.210322 | − | 0.0250799i | ||||
\(11\) | −2.47363 | + | 2.47363i | −0.745826 | + | 0.745826i | −0.973692 | − | 0.227866i | \(-0.926825\pi\) |
0.227866 | + | 0.973692i | \(0.426825\pi\) | |||||||
\(12\) | 1.70711 | − | 1.04201i | 0.492799 | − | 0.300803i | ||||
\(13\) | −0.0594122 | − | 0.0594122i | −0.0164780 | − | 0.0164780i | 0.698820 | − | 0.715298i | \(-0.253709\pi\) |
−0.715298 | + | 0.698820i | \(0.753709\pi\) | |||||||
\(14\) | 5.06524 | − | 3.98593i | 1.35374 | − | 1.06528i | ||||
\(15\) | 0.473626 | 0.122290 | ||||||||
\(16\) | −3.55765 | − | 1.82843i | −0.889412 | − | 0.457107i | ||||
\(17\) | 3.61706 | 0.877266 | 0.438633 | − | 0.898666i | \(-0.355463\pi\) | ||||
0.438633 | + | 0.898666i | \(0.355463\pi\) | |||||||
\(18\) | −1.11137 | + | 0.874559i | −0.261953 | + | 0.206135i | ||||
\(19\) | 2.55765 | + | 2.55765i | 0.586765 | + | 0.586765i | 0.936754 | − | 0.349989i | \(-0.113815\pi\) |
−0.349989 | + | 0.936754i | \(0.613815\pi\) | |||||||
\(20\) | −0.493523 | − | 0.808530i | −0.110355 | − | 0.180793i | ||||
\(21\) | −3.22274 | + | 3.22274i | −0.703260 | + | 0.703260i | ||||
\(22\) | −4.91245 | − | 0.585786i | −1.04734 | − | 0.124890i | ||||
\(23\) | 2.82843i | 0.589768i | 0.955533 | + | 0.294884i | \(0.0952810\pi\) | ||||
−0.955533 | + | 0.294884i | \(0.904719\pi\) | |||||||
\(24\) | 2.65103 | + | 0.985930i | 0.541139 | + | 0.201252i | ||||
\(25\) | 4.77568i | 0.955136i | ||||||||
\(26\) | 0.0140696 | − | 0.117988i | 0.00275927 | − | 0.0231394i | ||||
\(27\) | 0.707107 | − | 0.707107i | 0.136083 | − | 0.136083i | ||||
\(28\) | 8.85970 | + | 2.14343i | 1.67433 | + | 0.405071i | ||||
\(29\) | −5.16333 | − | 5.16333i | −0.958807 | − | 0.958807i | 0.0403780 | − | 0.999184i | \(-0.487144\pi\) |
−0.999184 | + | 0.0403780i | \(0.987144\pi\) | |||||||
\(30\) | 0.414214 | + | 0.526374i | 0.0756247 | + | 0.0961023i | ||||
\(31\) | −0.557647 | −0.100156 | −0.0500782 | − | 0.998745i | \(-0.515947\pi\) | ||||
−0.0500782 | + | 0.998745i | \(0.515947\pi\) | |||||||
\(32\) | −1.07931 | − | 5.55294i | −0.190797 | − | 0.981630i | ||||
\(33\) | 3.49824 | 0.608965 | ||||||||
\(34\) | 3.16333 | + | 4.01990i | 0.542507 | + | 0.689407i | ||||
\(35\) | 1.52637 | + | 1.52637i | 0.258004 | + | 0.258004i | ||||
\(36\) | −1.94392 | − | 0.470294i | −0.323987 | − | 0.0783823i | ||||
\(37\) | 4.38607 | − | 4.38607i | 0.721066 | − | 0.721066i | −0.247756 | − | 0.968822i | \(-0.579693\pi\) |
0.968822 | + | 0.247756i | \(0.0796932\pi\) | |||||||
\(38\) | −0.605684 | + | 5.07931i | −0.0982549 | + | 0.823973i | ||||
\(39\) | 0.0840215i | 0.0134542i | ||||||||
\(40\) | 0.466962 | − | 1.25559i | 0.0738332 | − | 0.198527i | ||||
\(41\) | − | 9.27391i | − | 1.44834i | −0.689620 | − | 0.724171i | \(-0.742223\pi\) | ||
0.689620 | − | 0.724171i | \(-0.257777\pi\) | |||||||
\(42\) | −6.40014 | − | 0.763187i | −0.987564 | − | 0.117762i | ||||
\(43\) | −1.61040 | + | 1.61040i | −0.245583 | + | 0.245583i | −0.819155 | − | 0.573572i | \(-0.805557\pi\) |
0.573572 | + | 0.819155i | \(0.305557\pi\) | |||||||
\(44\) | −3.64520 | − | 5.97186i | −0.549534 | − | 0.900292i | ||||
\(45\) | −0.334904 | − | 0.334904i | −0.0499245 | − | 0.0499245i | ||||
\(46\) | −3.14343 | + | 2.47363i | −0.463474 | + | 0.364716i | ||||
\(47\) | 2.82843 | 0.412568 | 0.206284 | − | 0.978492i | \(-0.433863\pi\) | ||||
0.206284 | + | 0.978492i | \(0.433863\pi\) | |||||||
\(48\) | 1.22274 | + | 3.80853i | 0.176488 | + | 0.549714i | ||||
\(49\) | −13.7721 | −1.96745 | ||||||||
\(50\) | −5.30755 | + | 4.17661i | −0.750601 | + | 0.590662i | ||||
\(51\) | −2.55765 | − | 2.55765i | −0.358142 | − | 0.358142i | ||||
\(52\) | 0.143434 | − | 0.0875513i | 0.0198907 | − | 0.0121412i | ||||
\(53\) | −0.493523 | + | 0.493523i | −0.0677906 | + | 0.0677906i | −0.740189 | − | 0.672399i | \(-0.765264\pi\) |
0.672399 | + | 0.740189i | \(0.265264\pi\) | |||||||
\(54\) | 1.40426 | + | 0.167452i | 0.191096 | + | 0.0227873i | ||||
\(55\) | − | 1.65685i | − | 0.223410i | ||||||
\(56\) | 5.36618 | + | 11.7210i | 0.717086 | + | 1.56628i | ||||
\(57\) | − | 3.61706i | − | 0.479091i | ||||||
\(58\) | 1.22274 | − | 10.2540i | 0.160554 | − | 1.34642i | ||||
\(59\) | 4.00000 | − | 4.00000i | 0.520756 | − | 0.520756i | −0.397044 | − | 0.917800i | \(-0.629964\pi\) |
0.917800 | + | 0.397044i | \(0.129964\pi\) | |||||||
\(60\) | −0.222743 | + | 0.920690i | −0.0287560 | + | 0.118861i | ||||
\(61\) | 2.72922 | + | 2.72922i | 0.349441 | + | 0.349441i | 0.859901 | − | 0.510460i | \(-0.170525\pi\) |
−0.510460 | + | 0.859901i | \(0.670525\pi\) | |||||||
\(62\) | −0.487695 | − | 0.619753i | −0.0619374 | − | 0.0787088i | ||||
\(63\) | 4.55765 | 0.574210 | ||||||||
\(64\) | 5.22746 | − | 6.05588i | 0.653432 | − | 0.756985i | ||||
\(65\) | 0.0397948 | 0.00493593 | ||||||||
\(66\) | 3.05941 | + | 3.88784i | 0.376588 | + | 0.478560i | ||||
\(67\) | 3.77568 | + | 3.77568i | 0.461273 | + | 0.461273i | 0.899072 | − | 0.437800i | \(-0.144242\pi\) |
−0.437800 | + | 0.899072i | \(0.644242\pi\) | |||||||
\(68\) | −1.70108 | + | 7.03127i | −0.206286 | + | 0.852667i | ||||
\(69\) | 2.00000 | − | 2.00000i | 0.240772 | − | 0.240772i | ||||
\(70\) | −0.361465 | + | 3.03127i | −0.0432033 | + | 0.362306i | ||||
\(71\) | 9.11529i | 1.08179i | 0.841091 | + | 0.540893i | \(0.181914\pi\) | ||||
−0.841091 | + | 0.540893i | \(0.818086\pi\) | |||||||
\(72\) | −1.17740 | − | 2.57172i | −0.138758 | − | 0.303080i | ||||
\(73\) | − | 0.541560i | − | 0.0633848i | −0.999498 | − | 0.0316924i | \(-0.989910\pi\) | ||
0.999498 | − | 0.0316924i | \(-0.0100897\pi\) | |||||||
\(74\) | 8.71044 | + | 1.03868i | 1.01257 | + | 0.120744i | ||||
\(75\) | 3.37691 | − | 3.37691i | 0.389933 | − | 0.389933i | ||||
\(76\) | −6.17471 | + | 3.76901i | −0.708287 | + | 0.432336i | ||||
\(77\) | 11.2739 | + | 11.2739i | 1.28478 | + | 1.28478i | ||||
\(78\) | −0.0933792 | + | 0.0734818i | −0.0105731 | + | 0.00832017i | ||||
\(79\) | −10.9937 | −1.23689 | −0.618445 | − | 0.785828i | \(-0.712237\pi\) | ||||
−0.618445 | + | 0.785828i | \(0.712237\pi\) | |||||||
\(80\) | 1.80382 | − | 0.579123i | 0.201673 | − | 0.0647479i | ||||
\(81\) | −1.00000 | −0.111111 | ||||||||
\(82\) | 10.3068 | − | 8.11058i | 1.13819 | − | 0.895664i | ||||
\(83\) | −10.6417 | − | 10.6417i | −1.16807 | − | 1.16807i | −0.982660 | − | 0.185415i | \(-0.940637\pi\) |
−0.185415 | − | 0.982660i | \(-0.559363\pi\) | |||||||
\(84\) | −4.74912 | − | 7.78039i | −0.518171 | − | 0.848910i | ||||
\(85\) | −1.21137 | + | 1.21137i | −0.131391 | + | 0.131391i | ||||
\(86\) | −3.19813 | − | 0.381362i | −0.344864 | − | 0.0411234i | ||||
\(87\) | 7.30205i | 0.782862i | ||||||||
\(88\) | 3.44902 | − | 9.27391i | 0.367666 | − | 0.988603i | ||||
\(89\) | 14.6533i | 1.55325i | 0.629964 | + | 0.776625i | \(0.283070\pi\) | ||||
−0.629964 | + | 0.776625i | \(0.716930\pi\) | |||||||
\(90\) | 0.0793096 | − | 0.665096i | 0.00835996 | − | 0.0701073i | ||||
\(91\) | −0.270780 | + | 0.270780i | −0.0283854 | + | 0.0283854i | ||||
\(92\) | −5.49824 | − | 1.33019i | −0.573231 | − | 0.138682i | ||||
\(93\) | 0.394316 | + | 0.394316i | 0.0408887 | + | 0.0408887i | ||||
\(94\) | 2.47363 | + | 3.14343i | 0.255135 | + | 0.324220i | ||||
\(95\) | −1.71313 | −0.175764 | ||||||||
\(96\) | −3.16333 | + | 4.68971i | −0.322856 | + | 0.478641i | ||||
\(97\) | 4.31724 | 0.438349 | 0.219175 | − | 0.975686i | \(-0.429664\pi\) | ||||
0.219175 | + | 0.975686i | \(0.429664\pi\) | |||||||
\(98\) | −12.0446 | − | 15.3060i | −1.21668 | − | 1.54614i | ||||
\(99\) | −2.47363 | − | 2.47363i | −0.248609 | − | 0.248609i | ||||
\(100\) | −9.28354 | − | 2.24597i | −0.928354 | − | 0.224597i | ||||
\(101\) | −0.453728 | + | 0.453728i | −0.0451477 | + | 0.0451477i | −0.729320 | − | 0.684173i | \(-0.760164\pi\) |
0.684173 | + | 0.729320i | \(0.260164\pi\) | |||||||
\(102\) | 0.605684 | − | 5.07931i | 0.0599716 | − | 0.502927i | ||||
\(103\) | 1.33686i | 0.131724i | 0.997829 | + | 0.0658622i | \(0.0209798\pi\) | ||||
−0.997829 | + | 0.0658622i | \(0.979020\pi\) | |||||||
\(104\) | 0.222743 | + | 0.0828394i | 0.0218418 | + | 0.00812307i | ||||
\(105\) | − | 2.15862i | − | 0.210660i | ||||||
\(106\) | −0.980103 | − | 0.116873i | −0.0951960 | − | 0.0113517i | ||||
\(107\) | 6.06255 | − | 6.06255i | 0.586088 | − | 0.586088i | −0.350481 | − | 0.936570i | \(-0.613982\pi\) |
0.936570 | + | 0.350481i | \(0.113982\pi\) | |||||||
\(108\) | 1.04201 | + | 1.70711i | 0.100268 | + | 0.164266i | ||||
\(109\) | 5.71627 | + | 5.71627i | 0.547519 | + | 0.547519i | 0.925722 | − | 0.378203i | \(-0.123458\pi\) |
−0.378203 | + | 0.925722i | \(0.623458\pi\) | |||||||
\(110\) | 1.84138 | − | 1.44902i | 0.175569 | − | 0.138158i | ||||
\(111\) | −6.20285 | −0.588748 | ||||||||
\(112\) | −8.33333 | + | 16.2145i | −0.787425 | + | 1.53213i | ||||
\(113\) | −9.55136 | −0.898516 | −0.449258 | − | 0.893402i | \(-0.648312\pi\) | ||||
−0.449258 | + | 0.893402i | \(0.648312\pi\) | |||||||
\(114\) | 4.01990 | − | 3.16333i | 0.376498 | − | 0.296273i | ||||
\(115\) | −0.947252 | − | 0.947252i | −0.0883317 | − | 0.0883317i | ||||
\(116\) | 12.4654 | − | 7.60882i | 1.15738 | − | 0.706461i | ||||
\(117\) | 0.0594122 | − | 0.0594122i | 0.00549266 | − | 0.00549266i | ||||
\(118\) | 7.94372 | + | 0.947252i | 0.731279 | + | 0.0872016i | ||||
\(119\) | − | 16.4853i | − | 1.51120i | ||||||
\(120\) | −1.21803 | + | 0.557647i | −0.111191 | + | 0.0509060i | ||||
\(121\) | − | 1.23765i | − | 0.112514i | ||||||
\(122\) | −0.646314 | + | 5.42004i | −0.0585146 | + | 0.490707i | ||||
\(123\) | −6.55765 | + | 6.55765i | −0.591283 | + | 0.591283i | ||||
\(124\) | 0.262258 | − | 1.08402i | 0.0235515 | − | 0.0973480i | ||||
\(125\) | −3.27391 | − | 3.27391i | −0.292828 | − | 0.292828i | ||||
\(126\) | 3.98593 | + | 5.06524i | 0.355095 | + | 0.451247i | ||||
\(127\) | 5.09921 | 0.452481 | 0.226241 | − | 0.974071i | \(-0.427356\pi\) | ||||
0.226241 | + | 0.974071i | \(0.427356\pi\) | |||||||
\(128\) | 11.3021 | + | 0.513421i | 0.998970 | + | 0.0453804i | ||||
\(129\) | 2.27744 | 0.200518 | ||||||||
\(130\) | 0.0348029 | + | 0.0442268i | 0.00305241 | + | 0.00387894i | ||||
\(131\) | 2.11882 | + | 2.11882i | 0.185123 | + | 0.185123i | 0.793584 | − | 0.608461i | \(-0.208213\pi\) |
−0.608461 | + | 0.793584i | \(0.708213\pi\) | |||||||
\(132\) | −1.64520 | + | 6.80029i | −0.143196 | + | 0.591889i | ||||
\(133\) | 11.6569 | − | 11.6569i | 1.01078 | − | 1.01078i | ||||
\(134\) | −0.894129 | + | 7.49824i | −0.0772410 | + | 0.647749i | ||||
\(135\) | 0.473626i | 0.0407632i | ||||||||
\(136\) | −9.30205 | + | 4.25873i | −0.797644 | + | 0.365183i | ||||
\(137\) | − | 3.37941i | − | 0.288723i | −0.989525 | − | 0.144361i | \(-0.953887\pi\) | ||
0.989525 | − | 0.144361i | \(-0.0461127\pi\) | |||||||
\(138\) | 3.97186 | + | 0.473626i | 0.338107 | + | 0.0403177i | ||||
\(139\) | 5.88118 | − | 5.88118i | 0.498835 | − | 0.498835i | −0.412240 | − | 0.911075i | \(-0.635254\pi\) |
0.911075 | + | 0.412240i | \(0.135254\pi\) | |||||||
\(140\) | −3.68499 | + | 2.24930i | −0.311439 | + | 0.190101i | ||||
\(141\) | −2.00000 | − | 2.00000i | −0.168430 | − | 0.168430i | ||||
\(142\) | −10.1305 | + | 7.97186i | −0.850131 | + | 0.668984i | ||||
\(143\) | 0.293927 | 0.0245794 | ||||||||
\(144\) | 1.82843 | − | 3.55765i | 0.152369 | − | 0.296471i | ||||
\(145\) | 3.45844 | 0.287208 | ||||||||
\(146\) | 0.601874 | − | 0.473626i | 0.0498115 | − | 0.0391975i | ||||
\(147\) | 9.73838 | + | 9.73838i | 0.803208 | + | 0.803208i | ||||
\(148\) | 6.46343 | + | 10.5889i | 0.531291 | + | 0.870404i | ||||
\(149\) | −9.99176 | + | 9.99176i | −0.818557 | + | 0.818557i | −0.985899 | − | 0.167342i | \(-0.946482\pi\) |
0.167342 | + | 0.985899i | \(0.446482\pi\) | |||||||
\(150\) | 6.70632 | + | 0.799697i | 0.547569 | + | 0.0652950i | ||||
\(151\) | 9.97685i | 0.811905i | 0.913894 | + | 0.405952i | \(0.133060\pi\) | ||||
−0.913894 | + | 0.405952i | \(0.866940\pi\) | |||||||
\(152\) | −9.58892 | − | 3.56617i | −0.777764 | − | 0.289255i | ||||
\(153\) | 3.61706i | 0.292422i | ||||||||
\(154\) | −2.66981 | + | 22.3892i | −0.215139 | + | 1.80417i | ||||
\(155\) | 0.186758 | − | 0.186758i | 0.0150008 | − | 0.0150008i | ||||
\(156\) | −0.163331 | − | 0.0395148i | −0.0130770 | − | 0.00316372i | ||||
\(157\) | −16.1618 | − | 16.1618i | −1.28985 | − | 1.28985i | −0.934877 | − | 0.354971i | \(-0.884491\pi\) |
−0.354971 | − | 0.934877i | \(-0.615509\pi\) | |||||||
\(158\) | −9.61465 | − | 12.2181i | −0.764900 | − | 0.972020i | ||||
\(159\) | 0.697947 | 0.0553508 | ||||||||
\(160\) | 2.22117 | + | 1.49824i | 0.175599 | + | 0.118446i | ||||
\(161\) | 12.8910 | 1.01595 | ||||||||
\(162\) | −0.874559 | − | 1.11137i | −0.0687118 | − | 0.0873176i | ||||
\(163\) | −7.50490 | − | 7.50490i | −0.587829 | − | 0.587829i | 0.349214 | − | 0.937043i | \(-0.386449\pi\) |
−0.937043 | + | 0.349214i | \(0.886449\pi\) | |||||||
\(164\) | 18.0277 | + | 4.36147i | 1.40773 | + | 0.340573i | ||||
\(165\) | −1.17157 | + | 1.17157i | −0.0912068 | + | 0.0912068i | ||||
\(166\) | 2.52008 | − | 21.1336i | 0.195596 | − | 1.64029i | ||||
\(167\) | − | 5.83822i | − | 0.451775i | −0.974153 | − | 0.225888i | \(-0.927472\pi\) | ||
0.974153 | − | 0.225888i | \(-0.0725282\pi\) | |||||||
\(168\) | 4.49352 | − | 12.0824i | 0.346683 | − | 0.932181i | ||||
\(169\) | − | 12.9929i | − | 0.999457i | ||||||
\(170\) | −2.40569 | − | 0.286867i | −0.184508 | − | 0.0220017i | ||||
\(171\) | −2.55765 | + | 2.55765i | −0.195588 | + | 0.195588i | ||||
\(172\) | −2.37312 | − | 3.88784i | −0.180949 | − | 0.296445i | ||||
\(173\) | −3.62530 | − | 3.62530i | −0.275627 | − | 0.275627i | 0.555734 | − | 0.831360i | \(-0.312437\pi\) |
−0.831360 | + | 0.555734i | \(0.812437\pi\) | |||||||
\(174\) | −8.11529 | + | 6.38607i | −0.615219 | + | 0.484127i | ||||
\(175\) | 21.7659 | 1.64534 | ||||||||
\(176\) | 13.3231 | − | 4.27744i | 1.00427 | − | 0.322424i | ||||
\(177\) | −5.65685 | −0.425195 | ||||||||
\(178\) | −16.2853 | + | 12.8152i | −1.22063 | + | 0.960539i | ||||
\(179\) | 9.28334 | + | 9.28334i | 0.693869 | + | 0.693869i | 0.963081 | − | 0.269212i | \(-0.0867632\pi\) |
−0.269212 | + | 0.963081i | \(0.586763\pi\) | |||||||
\(180\) | 0.808530 | − | 0.493523i | 0.0602642 | − | 0.0367850i | ||||
\(181\) | −10.8316 | + | 10.8316i | −0.805104 | + | 0.805104i | −0.983888 | − | 0.178785i | \(-0.942783\pi\) |
0.178785 | + | 0.983888i | \(0.442783\pi\) | |||||||
\(182\) | −0.537750 | − | 0.0641242i | −0.0398607 | − | 0.00475320i | ||||
\(183\) | − | 3.85970i | − | 0.285317i | ||||||
\(184\) | −3.33019 | − | 7.27391i | −0.245505 | − | 0.536240i | ||||
\(185\) | 2.93783i | 0.215993i | ||||||||
\(186\) | −0.0933792 | + | 0.783085i | −0.00684689 | + | 0.0574185i | ||||
\(187\) | −8.94725 | + | 8.94725i | −0.654288 | + | 0.654288i | ||||
\(188\) | −1.33019 | + | 5.49824i | −0.0970142 | + | 0.401000i | ||||
\(189\) | −3.22274 | − | 3.22274i | −0.234420 | − | 0.234420i | ||||
\(190\) | −1.49824 | − | 1.90393i | −0.108693 | − | 0.138125i | ||||
\(191\) | −8.63001 | −0.624446 | −0.312223 | − | 0.950009i | \(-0.601074\pi\) | ||||
−0.312223 | + | 0.950009i | \(0.601074\pi\) | |||||||
\(192\) | −7.97852 | + | 0.585786i | −0.575800 | + | 0.0422755i | ||||
\(193\) | 11.4514 | 0.824288 | 0.412144 | − | 0.911119i | \(-0.364780\pi\) | ||||
0.412144 | + | 0.911119i | \(0.364780\pi\) | |||||||
\(194\) | 3.77568 | + | 4.79806i | 0.271078 | + | 0.344480i | ||||
\(195\) | −0.0281391 | − | 0.0281391i | −0.00201509 | − | 0.00201509i | ||||
\(196\) | 6.47696 | − | 26.7720i | 0.462640 | − | 1.91228i | ||||
\(197\) | 7.48999 | − | 7.48999i | 0.533640 | − | 0.533640i | −0.388014 | − | 0.921654i | \(-0.626839\pi\) |
0.921654 | + | 0.388014i | \(0.126839\pi\) | |||||||
\(198\) | 0.585786 | − | 4.91245i | 0.0416300 | − | 0.349113i | ||||
\(199\) | − | 3.68000i | − | 0.260868i | −0.991457 | − | 0.130434i | \(-0.958363\pi\) | ||
0.991457 | − | 0.130434i | \(-0.0416371\pi\) | |||||||
\(200\) | −5.62289 | − | 12.2817i | −0.397598 | − | 0.868447i | ||||
\(201\) | − | 5.33962i | − | 0.376627i | ||||||
\(202\) | −0.901073 | − | 0.107449i | −0.0633993 | − | 0.00756007i | ||||
\(203\) | −23.5326 | + | 23.5326i | −1.65167 | + | 1.65167i | ||||
\(204\) | 6.17471 | − | 3.76901i | 0.432316 | − | 0.263884i | ||||
\(205\) | 3.10587 | + | 3.10587i | 0.216923 | + | 0.216923i | ||||
\(206\) | −1.48574 | + | 1.16916i | −0.103517 | + | 0.0814592i | ||||
\(207\) | −2.82843 | −0.196589 | ||||||||
\(208\) | 0.102737 | + | 0.319999i | 0.00712351 | + | 0.0221879i | ||||
\(209\) | −12.6533 | −0.875249 | ||||||||
\(210\) | 2.39903 | − | 1.88784i | 0.165549 | − | 0.130273i | ||||
\(211\) | 10.1188 | + | 10.1188i | 0.696609 | + | 0.696609i | 0.963677 | − | 0.267069i | \(-0.0860551\pi\) |
−0.267069 | + | 0.963677i | \(0.586055\pi\) | |||||||
\(212\) | −0.727268 | − | 1.19147i | −0.0499490 | − | 0.0818305i | ||||
\(213\) | 6.44549 | − | 6.44549i | 0.441637 | − | 0.441637i | ||||
\(214\) | 12.0398 | + | 1.43569i | 0.823023 | + | 0.0981417i | ||||
\(215\) | − | 1.07866i | − | 0.0735637i | ||||||
\(216\) | −0.985930 | + | 2.65103i | −0.0670841 | + | 0.180380i | ||||
\(217\) | 2.54156i | 0.172532i | ||||||||
\(218\) | −1.35369 | + | 11.3521i | −0.0916832 | + | 0.768862i | ||||
\(219\) | −0.382941 | + | 0.382941i | −0.0258767 | + | 0.0258767i | ||||
\(220\) | 3.22079 | + | 0.779208i | 0.217146 | + | 0.0525342i | ||||
\(221\) | −0.214897 | − | 0.214897i | −0.0144556 | − | 0.0144556i | ||||
\(222\) | −5.42475 | − | 6.89367i | −0.364086 | − | 0.462673i | ||||
\(223\) | −4.86156 | −0.325554 | −0.162777 | − | 0.986663i | \(-0.552045\pi\) | ||||
−0.162777 | + | 0.986663i | \(0.552045\pi\) | |||||||
\(224\) | −25.3083 | + | 4.91911i | −1.69098 | + | 0.328672i | ||||
\(225\) | −4.77568 | −0.318379 | ||||||||
\(226\) | −8.35322 | − | 10.6151i | −0.555648 | − | 0.706106i | ||||
\(227\) | 10.6417 | + | 10.6417i | 0.706312 | + | 0.706312i | 0.965758 | − | 0.259445i | \(-0.0835398\pi\) |
−0.259445 | + | 0.965758i | \(0.583540\pi\) | |||||||
\(228\) | 7.03127 | + | 1.70108i | 0.465657 | + | 0.112657i | ||||
\(229\) | −20.1712 | + | 20.1712i | −1.33295 | + | 1.33295i | −0.430229 | + | 0.902720i | \(0.641567\pi\) |
−0.902720 | + | 0.430229i | \(0.858433\pi\) | |||||||
\(230\) | 0.224321 | − | 1.88118i | 0.0147913 | − | 0.124041i | ||||
\(231\) | − | 15.9437i | − | 1.04902i | ||||||
\(232\) | 19.3579 | + | 7.19932i | 1.27091 | + | 0.472658i | ||||
\(233\) | 13.5702i | 0.889014i | 0.895775 | + | 0.444507i | \(0.146621\pi\) | ||||
−0.895775 | + | 0.444507i | \(0.853379\pi\) | |||||||
\(234\) | 0.117988 | + | 0.0140696i | 0.00771315 | + | 0.000919757i | ||||
\(235\) | −0.947252 | + | 0.947252i | −0.0617919 | + | 0.0617919i | ||||
\(236\) | 5.89450 | + | 9.65685i | 0.383699 | + | 0.628608i | ||||
\(237\) | 7.77373 | + | 7.77373i | 0.504958 | + | 0.504958i | ||||
\(238\) | 18.3213 | − | 14.4173i | 1.18759 | − | 0.934538i | ||||
\(239\) | 29.3629 | 1.89933 | 0.949665 | − | 0.313267i | \(-0.101424\pi\) | ||||
0.949665 | + | 0.313267i | \(0.101424\pi\) | |||||||
\(240\) | −1.68499 | − | 0.865990i | −0.108766 | − | 0.0558994i | ||||
\(241\) | 24.0063 | 1.54638 | 0.773190 | − | 0.634175i | \(-0.218660\pi\) | ||||
0.773190 | + | 0.634175i | \(0.218660\pi\) | |||||||
\(242\) | 1.37549 | − | 1.08240i | 0.0884197 | − | 0.0695791i | ||||
\(243\) | 0.707107 | + | 0.707107i | 0.0453609 | + | 0.0453609i | ||||
\(244\) | −6.58892 | + | 4.02185i | −0.421812 | + | 0.257473i | ||||
\(245\) | 4.61235 | − | 4.61235i | 0.294672 | − | 0.294672i | ||||
\(246\) | −13.0230 | − | 1.55294i | −0.830318 | − | 0.0990115i | ||||
\(247\) | − | 0.303911i | − | 0.0193374i | ||||||
\(248\) | 1.43411 | − | 0.656574i | 0.0910661 | − | 0.0416925i | ||||
\(249\) | 15.0496i | 0.953729i | ||||||||
\(250\) | 0.775305 | − | 6.50176i | 0.0490346 | − | 0.411208i | ||||
\(251\) | 15.7570 | − | 15.7570i | 0.994571 | − | 0.994571i | −0.00541463 | − | 0.999985i | \(-0.501724\pi\) |
0.999985 | + | 0.00541463i | \(0.00172354\pi\) | |||||||
\(252\) | −2.14343 | + | 8.85970i | −0.135024 | + | 0.558109i | ||||
\(253\) | −6.99647 | − | 6.99647i | −0.439864 | − | 0.439864i | ||||
\(254\) | 4.45956 | + | 5.66711i | 0.279817 | + | 0.355586i | ||||
\(255\) | 1.71313 | 0.107281 | ||||||||
\(256\) | 9.31371 | + | 13.0098i | 0.582107 | + | 0.813112i | ||||
\(257\) | 8.66038 | 0.540220 | 0.270110 | − | 0.962829i | \(-0.412940\pi\) | ||||
0.270110 | + | 0.962829i | \(0.412940\pi\) | |||||||
\(258\) | 1.99176 | + | 2.53109i | 0.124001 | + | 0.157579i | ||||
\(259\) | −19.9902 | − | 19.9902i | −1.24213 | − | 1.24213i | ||||
\(260\) | −0.0187152 | + | 0.0773578i | −0.00116067 | + | 0.00479753i | ||||
\(261\) | 5.16333 | − | 5.16333i | 0.319602 | − | 0.319602i | ||||
\(262\) | −0.501765 | + | 4.20784i | −0.0309991 | + | 0.259961i | ||||
\(263\) | 13.3208i | 0.821394i | 0.911772 | + | 0.410697i | \(0.134715\pi\) | ||||
−0.911772 | + | 0.410697i | \(0.865285\pi\) | |||||||
\(264\) | −8.99647 | + | 4.11882i | −0.553694 | + | 0.253496i | ||||
\(265\) | − | 0.330566i | − | 0.0203065i | ||||||
\(266\) | 23.1497 | + | 2.76049i | 1.41940 | + | 0.169257i | ||||
\(267\) | 10.3615 | − | 10.3615i | 0.634111 | − | 0.634111i | ||||
\(268\) | −9.11529 | + | 5.56394i | −0.556805 | + | 0.339872i | ||||
\(269\) | −11.6714 | − | 11.6714i | −0.711616 | − | 0.711616i | 0.255257 | − | 0.966873i | \(-0.417840\pi\) |
−0.966873 | + | 0.255257i | \(0.917840\pi\) | |||||||
\(270\) | −0.526374 | + | 0.414214i | −0.0320341 | + | 0.0252082i | ||||
\(271\) | −21.9769 | −1.33500 | −0.667499 | − | 0.744610i | \(-0.732635\pi\) | ||||
−0.667499 | + | 0.744610i | \(0.732635\pi\) | |||||||
\(272\) | −12.8682 | − | 6.61353i | −0.780251 | − | 0.401004i | ||||
\(273\) | 0.382941 | 0.0231766 | ||||||||
\(274\) | 3.75578 | − | 2.95549i | 0.226895 | − | 0.178548i | ||||
\(275\) | −11.8132 | − | 11.8132i | −0.712365 | − | 0.712365i | ||||
\(276\) | 2.94725 | + | 4.82843i | 0.177404 | + | 0.290637i | ||||
\(277\) | −10.9504 | + | 10.9504i | −0.657945 | + | 0.657945i | −0.954893 | − | 0.296949i | \(-0.904031\pi\) |
0.296949 | + | 0.954893i | \(0.404031\pi\) | |||||||
\(278\) | 11.6796 | + | 1.39274i | 0.700496 | + | 0.0835309i | ||||
\(279\) | − | 0.557647i | − | 0.0333855i | ||||||
\(280\) | −5.72256 | − | 2.12825i | −0.341988 | − | 0.127187i | ||||
\(281\) | − | 22.8910i | − | 1.36556i | −0.730624 | − | 0.682780i | \(-0.760771\pi\) | ||
0.730624 | − | 0.682780i | \(-0.239229\pi\) | |||||||
\(282\) | 0.473626 | − | 3.97186i | 0.0282040 | − | 0.236521i | ||||
\(283\) | 4.48528 | − | 4.48528i | 0.266622 | − | 0.266622i | −0.561115 | − | 0.827738i | \(-0.689628\pi\) |
0.827738 | + | 0.561115i | \(0.189628\pi\) | |||||||
\(284\) | −17.7194 | − | 4.28687i | −1.05145 | − | 0.254379i | ||||
\(285\) | 1.21137 | + | 1.21137i | 0.0717552 | + | 0.0717552i | ||||
\(286\) | 0.257057 | + | 0.326662i | 0.0152001 | + | 0.0193159i | ||||
\(287\) | −42.2672 | −2.49496 | ||||||||
\(288\) | 5.55294 | − | 1.07931i | 0.327210 | − | 0.0635989i | ||||
\(289\) | −3.91688 | −0.230405 | ||||||||
\(290\) | 3.02461 | + | 3.84361i | 0.177611 | + | 0.225705i | ||||
\(291\) | −3.05275 | − | 3.05275i | −0.178955 | − | 0.178955i | ||||
\(292\) | 1.05275 | + | 0.254692i | 0.0616074 | + | 0.0149047i | ||||
\(293\) | 21.6221 | − | 21.6221i | 1.26318 | − | 1.26318i | 0.313636 | − | 0.949543i | \(-0.398453\pi\) |
0.949543 | − | 0.313636i | \(-0.101547\pi\) | |||||||
\(294\) | −2.30617 | + | 19.3397i | −0.134499 | + | 1.12792i | ||||
\(295\) | 2.67923i | 0.155991i | ||||||||
\(296\) | −6.11557 | + | 16.4439i | −0.355461 | + | 0.955783i | ||||
\(297\) | 3.49824i | 0.202988i | ||||||||
\(298\) | −19.8429 | − | 2.36618i | −1.14947 | − | 0.137069i | ||||
\(299\) | 0.168043 | − | 0.168043i | 0.00971818 | − | 0.00971818i | ||||
\(300\) | 4.97631 | + | 8.15259i | 0.287307 | + | 0.470690i | ||||
\(301\) | 7.33962 | + | 7.33962i | 0.423048 | + | 0.423048i | ||||
\(302\) | −11.0880 | + | 8.72534i | −0.638042 | + | 0.502087i | ||||
\(303\) | 0.641669 | 0.0368629 | ||||||||
\(304\) | −4.42274 | − | 13.7757i | −0.253661 | − | 0.790089i | ||||
\(305\) | −1.82805 | −0.104674 | ||||||||
\(306\) | −4.01990 | + | 3.16333i | −0.229802 | + | 0.180836i | ||||
\(307\) | −12.1118 | − | 12.1118i | −0.691255 | − | 0.691255i | 0.271253 | − | 0.962508i | \(-0.412562\pi\) |
−0.962508 | + | 0.271253i | \(0.912562\pi\) | |||||||
\(308\) | −27.2176 | + | 16.6135i | −1.55087 | + | 0.946644i | ||||
\(309\) | 0.945300 | − | 0.945300i | 0.0537762 | − | 0.0537762i | ||||
\(310\) | 0.370889 | + | 0.0442268i | 0.0210651 | + | 0.00251191i | ||||
\(311\) | − | 26.8651i | − | 1.52338i | −0.647943 | − | 0.761689i | \(-0.724370\pi\) | ||
0.647943 | − | 0.761689i | \(-0.275630\pi\) | |||||||
\(312\) | −0.0989270 | − | 0.216080i | −0.00560064 | − | 0.0122331i | ||||
\(313\) | 19.6890i | 1.11289i | 0.830885 | + | 0.556445i | \(0.187835\pi\) | ||||
−0.830885 | + | 0.556445i | \(0.812165\pi\) | |||||||
\(314\) | 3.82731 | − | 32.0961i | 0.215988 | − | 1.81129i | ||||
\(315\) | −1.52637 | + | 1.52637i | −0.0860014 | + | 0.0860014i | ||||
\(316\) | 5.17027 | − | 21.3709i | 0.290851 | − | 1.20221i | ||||
\(317\) | 21.3447 | + | 21.3447i | 1.19884 | + | 1.19884i | 0.974515 | + | 0.224323i | \(0.0720171\pi\) |
0.224323 | + | 0.974515i | \(0.427983\pi\) | |||||||
\(318\) | 0.610396 | + | 0.775679i | 0.0342293 | + | 0.0434979i | ||||
\(319\) | 25.5443 | 1.43021 | ||||||||
\(320\) | 0.277444 | + | 3.77883i | 0.0155096 | + | 0.211243i | ||||
\(321\) | −8.57373 | −0.478539 | ||||||||
\(322\) | 11.2739 | + | 14.3267i | 0.628271 | + | 0.798394i | ||||
\(323\) | 9.25116 | + | 9.25116i | 0.514748 | + | 0.514748i | ||||
\(324\) | 0.470294 | − | 1.94392i | 0.0261274 | − | 0.107996i | ||||
\(325\) | 0.283734 | − | 0.283734i | 0.0157387 | − | 0.0157387i | ||||
\(326\) | 1.77726 | − | 14.9042i | 0.0984331 | − | 0.825468i | ||||
\(327\) | − | 8.08402i | − | 0.447047i | ||||||
\(328\) | 10.9191 | + | 23.8499i | 0.602907 | + | 1.31689i | ||||
\(329\) | − | 12.8910i | − | 0.710702i | ||||||
\(330\) | −2.32666 | − | 0.277444i | −0.128079 | − | 0.0152728i | ||||
\(331\) | 14.6926 | − | 14.6926i | 0.807576 | − | 0.807576i | −0.176690 | − | 0.984266i | \(-0.556539\pi\) |
0.984266 | + | 0.176690i | \(0.0565391\pi\) | |||||||
\(332\) | 25.6913 | − | 15.6818i | 1.40999 | − | 0.860653i | ||||
\(333\) | 4.38607 | + | 4.38607i | 0.240355 | + | 0.240355i | ||||
\(334\) | 6.48844 | − | 5.10587i | 0.355032 | − | 0.279381i | ||||
\(335\) | −2.52898 | −0.138173 | ||||||||
\(336\) | 17.3579 | − | 5.57283i | 0.946953 | − | 0.304023i | ||||
\(337\) | −23.0098 | −1.25342 | −0.626712 | − | 0.779251i | \(-0.715600\pi\) | ||||
−0.626712 | + | 0.779251i | \(0.715600\pi\) | |||||||
\(338\) | 14.4400 | − | 11.3631i | 0.785432 | − | 0.618071i | ||||
\(339\) | 6.75383 | + | 6.75383i | 0.366818 | + | 0.366818i | ||||
\(340\) | −1.78510 | − | 2.92450i | −0.0968108 | − | 0.158603i | ||||
\(341\) | 1.37941 | − | 1.37941i | 0.0746993 | − | 0.0746993i | ||||
\(342\) | −5.07931 | − | 0.605684i | −0.274658 | − | 0.0327516i | ||||
\(343\) | 30.8651i | 1.66656i | ||||||||
\(344\) | 2.24540 | − | 6.03756i | 0.121064 | − | 0.325524i | ||||
\(345\) | 1.33962i | 0.0721225i | ||||||||
\(346\) | 0.858518 | − | 7.19960i | 0.0461542 | − | 0.387053i | ||||
\(347\) | −10.9026 | + | 10.9026i | −0.585284 | + | 0.585284i | −0.936350 | − | 0.351067i | \(-0.885819\pi\) |
0.351067 | + | 0.936350i | \(0.385819\pi\) | |||||||
\(348\) | −14.1946 | − | 3.43411i | −0.760911 | − | 0.184088i | ||||
\(349\) | 20.0563 | + | 20.0563i | 1.07359 | + | 1.07359i | 0.997068 | + | 0.0765186i | \(0.0243805\pi\) |
0.0765186 | + | 0.997068i | \(0.475620\pi\) | |||||||
\(350\) | 19.0355 | + | 24.1900i | 1.01749 | + | 1.29301i | ||||
\(351\) | −0.0840215 | −0.00448474 | ||||||||
\(352\) | 16.4057 | + | 11.0661i | 0.874426 | + | 0.589824i | ||||
\(353\) | −12.2117 | −0.649965 | −0.324983 | − | 0.945720i | \(-0.605358\pi\) | ||||
−0.324983 | + | 0.945720i | \(0.605358\pi\) | |||||||
\(354\) | −4.94725 | − | 6.28687i | −0.262943 | − | 0.334143i | ||||
\(355\) | −3.05275 | − | 3.05275i | −0.162023 | − | 0.162023i | ||||
\(356\) | −28.4849 | − | 6.89137i | −1.50970 | − | 0.365242i | ||||
\(357\) | −11.6569 | + | 11.6569i | −0.616946 | + | 0.616946i | ||||
\(358\) | −2.19841 | + | 18.4361i | −0.116190 | + | 0.974376i | ||||
\(359\) | 33.4780i | 1.76690i | 0.468522 | + | 0.883452i | \(0.344786\pi\) | ||||
−0.468522 | + | 0.883452i | \(0.655214\pi\) | |||||||
\(360\) | 1.25559 | + | 0.466962i | 0.0661756 | + | 0.0246111i | ||||
\(361\) | − | 5.91688i | − | 0.311415i | ||||||
\(362\) | −21.5107 | − | 2.56505i | −1.13058 | − | 0.134816i | ||||
\(363\) | −0.875150 | + | 0.875150i | −0.0459335 | + | 0.0459335i | ||||
\(364\) | −0.399028 | − | 0.653720i | −0.0209148 | − | 0.0342643i | ||||
\(365\) | 0.181370 | + | 0.181370i | 0.00949337 | + | 0.00949337i | ||||
\(366\) | 4.28956 | − | 3.37553i | 0.224219 | − | 0.176442i | ||||
\(367\) | −0.702379 | −0.0366639 | −0.0183319 | − | 0.999832i | \(-0.505836\pi\) | ||||
−0.0183319 | + | 0.999832i | \(0.505836\pi\) | |||||||
\(368\) | 5.17157 | − | 10.0625i | 0.269587 | − | 0.524546i | ||||
\(369\) | 9.27391 | 0.482781 | ||||||||
\(370\) | −3.26502 | + | 2.56930i | −0.169740 | + | 0.133572i | ||||
\(371\) | 2.24930 | + | 2.24930i | 0.116778 | + | 0.116778i | ||||
\(372\) | −0.951963 | + | 0.581074i | −0.0493570 | + | 0.0301273i | ||||
\(373\) | 18.9598 | − | 18.9598i | 0.981702 | − | 0.981702i | −0.0181339 | − | 0.999836i | \(-0.505773\pi\) |
0.999836 | + | 0.0181339i | \(0.00577250\pi\) | |||||||
\(374\) | −17.7686 | − | 2.11882i | −0.918793 | − | 0.109562i | ||||
\(375\) | 4.63001i | 0.239093i | ||||||||
\(376\) | −7.27391 | + | 3.33019i | −0.375123 | + | 0.171742i | ||||
\(377\) | 0.613530i | 0.0315984i | ||||||||
\(378\) | 0.763187 | − | 6.40014i | 0.0392541 | − | 0.329188i | ||||
\(379\) | −1.77844 | + | 1.77844i | −0.0913523 | + | 0.0913523i | −0.751306 | − | 0.659954i | \(-0.770576\pi\) |
0.659954 | + | 0.751306i | \(0.270576\pi\) | |||||||
\(380\) | 0.805676 | − | 3.33019i | 0.0413303 | − | 0.170835i | ||||
\(381\) | −3.60568 | − | 3.60568i | −0.184725 | − | 0.184725i | ||||
\(382\) | −7.54745 | − | 9.59115i | −0.386161 | − | 0.490726i | ||||
\(383\) | 25.4880 | 1.30238 | 0.651188 | − | 0.758916i | \(-0.274271\pi\) | ||||
0.651188 | + | 0.758916i | \(0.274271\pi\) | |||||||
\(384\) | −7.62872 | − | 8.35480i | −0.389301 | − | 0.426354i | ||||
\(385\) | −7.55136 | −0.384853 | ||||||||
\(386\) | 10.0149 | + | 12.7267i | 0.509745 | + | 0.647774i | ||||
\(387\) | −1.61040 | − | 1.61040i | −0.0818610 | − | 0.0818610i | ||||
\(388\) | −2.03037 | + | 8.39236i | −0.103076 | + | 0.426058i | ||||
\(389\) | −11.7049 | + | 11.7049i | −0.593462 | + | 0.593462i | −0.938565 | − | 0.345103i | \(-0.887844\pi\) |
0.345103 | + | 0.938565i | \(0.387844\pi\) | |||||||
\(390\) | 0.00666371 | − | 0.0558824i | 0.000337430 | − | 0.00282971i | ||||
\(391\) | 10.2306i | 0.517383i | ||||||||
\(392\) | 35.4181 | − | 16.2153i | 1.78888 | − | 0.818998i | ||||
\(393\) | − | 2.99647i | − | 0.151152i | ||||||
\(394\) | 14.8746 | + | 1.77373i | 0.749372 | + | 0.0893591i | ||||
\(395\) | 3.68184 | − | 3.68184i | 0.185253 | − | 0.185253i | ||||
\(396\) | 5.97186 | − | 3.64520i | 0.300097 | − | 0.183178i | ||||
\(397\) | −9.04646 | − | 9.04646i | −0.454029 | − | 0.454029i | 0.442661 | − | 0.896689i | \(-0.354035\pi\) |
−0.896689 | + | 0.442661i | \(0.854035\pi\) | |||||||
\(398\) | 4.08985 | − | 3.21838i | 0.205006 | − | 0.161323i | ||||
\(399\) | −16.4853 | −0.825296 | ||||||||
\(400\) | 8.73198 | − | 16.9902i | 0.436599 | − | 0.849509i | ||||
\(401\) | −18.0853 | −0.903137 | −0.451568 | − | 0.892237i | \(-0.649135\pi\) | ||||
−0.451568 | + | 0.892237i | \(0.649135\pi\) | |||||||
\(402\) | 5.93430 | − | 4.66981i | 0.295976 | − | 0.232909i | ||||
\(403\) | 0.0331311 | + | 0.0331311i | 0.00165038 | + | 0.00165038i | ||||
\(404\) | −0.668626 | − | 1.09540i | −0.0332654 | − | 0.0544980i | ||||
\(405\) | 0.334904 | − | 0.334904i | 0.0166415 | − | 0.0166415i | ||||
\(406\) | −46.7342 | − | 5.57283i | −2.31938 | − | 0.276575i | ||||
\(407\) | 21.6990i | 1.07558i | ||||||||
\(408\) | 9.58892 | + | 3.56617i | 0.474722 | + | 0.176552i | ||||
\(409\) | − | 25.2271i | − | 1.24740i | −0.781665 | − | 0.623699i | \(-0.785629\pi\) | ||
0.781665 | − | 0.623699i | \(-0.214371\pi\) | |||||||
\(410\) | −0.735510 | + | 6.16804i | −0.0363243 | + | 0.304618i | ||||
\(411\) | −2.38960 | + | 2.38960i | −0.117870 | + | 0.117870i | ||||
\(412\) | −2.59874 | − | 0.628715i | −0.128031 | − | 0.0309746i | ||||
\(413\) | −18.2306 | − | 18.2306i | −0.897069 | − | 0.897069i | ||||
\(414\) | −2.47363 | − | 3.14343i | −0.121572 | − | 0.154491i | ||||
\(415\) | 7.12787 | 0.349894 | ||||||||
\(416\) | −0.265788 | + | 0.394036i | −0.0130313 | + | 0.0193192i | ||||
\(417\) | −8.31724 | −0.407297 | ||||||||
\(418\) | −11.0661 | − | 14.0625i | −0.541259 | − | 0.687822i | ||||
\(419\) | 7.25283 | + | 7.25283i | 0.354324 | + | 0.354324i | 0.861716 | − | 0.507392i | \(-0.169390\pi\) |
−0.507392 | + | 0.861716i | \(0.669390\pi\) | |||||||
\(420\) | 4.19618 | + | 1.01519i | 0.204753 | + | 0.0495360i | ||||
\(421\) | 2.39550 | − | 2.39550i | 0.116749 | − | 0.116749i | −0.646318 | − | 0.763068i | \(-0.723692\pi\) |
0.763068 | + | 0.646318i | \(0.223692\pi\) | |||||||
\(422\) | −2.39627 | + | 20.0953i | −0.116648 | + | 0.978223i | ||||
\(423\) | 2.82843i | 0.137523i | ||||||||
\(424\) | 0.688127 | − | 1.85028i | 0.0334184 | − | 0.0898574i | ||||
\(425\) | 17.2739i | 0.837908i | ||||||||
\(426\) | 12.8003 | + | 1.52637i | 0.620176 | + | 0.0739531i | ||||
\(427\) | 12.4388 | − | 12.4388i | 0.601957 | − | 0.601957i | ||||
\(428\) | 8.93392 | + | 14.6363i | 0.431838 | + | 0.707471i | ||||
\(429\) | −0.207838 | − | 0.207838i | −0.0100345 | − | 0.0100345i | ||||
\(430\) | 1.19879 | − | 0.943348i | 0.0578107 | − | 0.0454923i | ||||
\(431\) | −4.42454 | −0.213123 | −0.106561 | − | 0.994306i | \(-0.533984\pi\) | ||||
−0.106561 | + | 0.994306i | \(0.533984\pi\) | |||||||
\(432\) | −3.80853 | + | 1.22274i | −0.183238 | + | 0.0588293i | ||||
\(433\) | 7.31371 | 0.351474 | 0.175737 | − | 0.984437i | \(-0.443769\pi\) | ||||
0.175737 | + | 0.984437i | \(0.443769\pi\) | |||||||
\(434\) | −2.82462 | + | 2.22274i | −0.135586 | + | 0.106695i | ||||
\(435\) | −2.44549 | − | 2.44549i | −0.117252 | − | 0.117252i | ||||
\(436\) | −13.8003 | + | 8.42364i | −0.660914 | + | 0.403419i | ||||
\(437\) | −7.23412 | + | 7.23412i | −0.346055 | + | 0.346055i | ||||
\(438\) | −0.760493 | − | 0.0906852i | −0.0363378 | − | 0.00433311i | ||||
\(439\) | − | 29.6533i | − | 1.41527i | −0.706576 | − | 0.707637i | \(-0.749761\pi\) | ||
0.706576 | − | 0.707637i | \(-0.250239\pi\) | |||||||
\(440\) | 1.95078 | + | 4.26096i | 0.0929999 | + | 0.203133i | ||||
\(441\) | − | 13.7721i | − | 0.655817i | ||||||
\(442\) | 0.0508905 | − | 0.426771i | 0.00242061 | − | 0.0202994i | ||||
\(443\) | 10.3056 | − | 10.3056i | 0.489633 | − | 0.489633i | −0.418557 | − | 0.908190i | \(-0.637464\pi\) |
0.908190 | + | 0.418557i | \(0.137464\pi\) | |||||||
\(444\) | 2.91716 | − | 12.0578i | 0.138442 | − | 0.572239i | ||||
\(445\) | −4.90746 | − | 4.90746i | −0.232636 | − | 0.232636i | ||||
\(446\) | −4.25172 | − | 5.40300i | −0.201325 | − | 0.255839i | ||||
\(447\) | 14.1305 | 0.668349 | ||||||||
\(448\) | −27.6006 | − | 23.8249i | −1.30400 | − | 1.12562i | ||||
\(449\) | −6.48844 | −0.306208 | −0.153104 | − | 0.988210i | \(-0.548927\pi\) | ||||
−0.153104 | + | 0.988210i | \(0.548927\pi\) | |||||||
\(450\) | −4.17661 | − | 5.30755i | −0.196887 | − | 0.250200i | ||||
\(451\) | 22.9402 | + | 22.9402i | 1.08021 | + | 1.08021i | ||||
\(452\) | 4.49195 | − | 18.5671i | 0.211283 | − | 0.873322i | ||||
\(453\) | 7.05470 | − | 7.05470i | 0.331459 | − | 0.331459i | ||||
\(454\) | −2.52008 | + | 21.1336i | −0.118273 | + | 0.991850i | ||||
\(455\) | − | 0.181370i | − | 0.00850278i | ||||||
\(456\) | 4.25873 | + | 9.30205i | 0.199433 | + | 0.435609i | ||||
\(457\) | − | 9.00353i | − | 0.421167i | −0.977576 | − | 0.210584i | \(-0.932464\pi\) | ||
0.977576 | − | 0.210584i | \(-0.0675364\pi\) | |||||||
\(458\) | −40.0586 | − | 4.77679i | −1.87181 | − | 0.223205i | ||||
\(459\) | 2.55765 | − | 2.55765i | 0.119381 | − | 0.119381i | ||||
\(460\) | 2.28687 | − | 1.39589i | 0.106626 | − | 0.0650839i | ||||
\(461\) | 14.6218 | + | 14.6218i | 0.681004 | + | 0.681004i | 0.960226 | − | 0.279223i | \(-0.0900767\pi\) |
−0.279223 | + | 0.960226i | \(0.590077\pi\) | |||||||
\(462\) | 17.7194 | − | 13.9437i | 0.824381 | − | 0.648721i | ||||
\(463\) | −18.6435 | −0.866437 | −0.433219 | − | 0.901289i | \(-0.642622\pi\) | ||||
−0.433219 | + | 0.901289i | \(0.642622\pi\) | |||||||
\(464\) | 8.92854 | + | 27.8101i | 0.414497 | + | 1.29105i | ||||
\(465\) | −0.264116 | −0.0122481 | ||||||||
\(466\) | −15.0815 | + | 11.8679i | −0.698639 | + | 0.549772i | ||||
\(467\) | −23.5138 | − | 23.5138i | −1.08809 | − | 1.08809i | −0.995725 | − | 0.0923633i | \(-0.970558\pi\) |
−0.0923633 | − | 0.995725i | \(-0.529442\pi\) | |||||||
\(468\) | 0.0875513 | + | 0.143434i | 0.00404706 | + | 0.00663023i | ||||
\(469\) | 17.2082 | − | 17.2082i | 0.794601 | − | 0.794601i | ||||
\(470\) | −1.88118 | − | 0.224321i | −0.0867722 | − | 0.0103472i | ||||
\(471\) | 22.8562i | 1.05316i | ||||||||
\(472\) | −5.57726 | + | 14.9965i | −0.256714 | + | 0.690268i | ||||
\(473\) | − | 7.96703i | − | 0.366325i | ||||||
\(474\) | −1.84092 | + | 15.4381i | −0.0845562 | + | 0.709095i | ||||
\(475\) | −12.2145 | + | 12.2145i | −0.560440 | + | 0.560440i | ||||
\(476\) | 32.0461 | + | 7.75293i | 1.46883 | + | 0.355355i | ||||
\(477\) | −0.493523 | − | 0.493523i | −0.0225969 | − | 0.0225969i | ||||
\(478\) | 25.6796 | + | 32.6331i | 1.17456 | + | 1.49260i | ||||
\(479\) | −1.08864 | −0.0497412 | −0.0248706 | − | 0.999691i | \(-0.507917\pi\) | ||||
−0.0248706 | + | 0.999691i | \(0.507917\pi\) | |||||||
\(480\) | −0.511189 | − | 2.63001i | −0.0233325 | − | 0.120043i | ||||
\(481\) | −0.521173 | −0.0237634 | ||||||||
\(482\) | 20.9949 | + | 26.6799i | 0.956291 | + | 1.21524i | ||||
\(483\) | −9.11529 | − | 9.11529i | −0.414760 | − | 0.414760i | ||||
\(484\) | 2.40589 | + | 0.582059i | 0.109359 | + | 0.0264572i | ||||
\(485\) | −1.44586 | + | 1.44586i | −0.0656531 | + | 0.0656531i | ||||
\(486\) | −0.167452 | + | 1.40426i | −0.00759578 | + | 0.0636987i | ||||
\(487\) | − | 35.3298i | − | 1.60095i | −0.599369 | − | 0.800473i | \(-0.704582\pi\) | ||
0.599369 | − | 0.800473i | \(-0.295418\pi\) | |||||||
\(488\) | −10.2322 | − | 3.80540i | −0.463188 | − | 0.172262i | ||||
\(489\) | 10.6135i | 0.479960i | ||||||||
\(490\) | 9.15980 | + | 1.09226i | 0.413798 | + | 0.0493434i | ||||
\(491\) | −12.8910 | + | 12.8910i | −0.581761 | + | 0.581761i | −0.935387 | − | 0.353626i | \(-0.884949\pi\) |
0.353626 | + | 0.935387i | \(0.384949\pi\) | |||||||
\(492\) | −9.66352 | − | 15.8316i | −0.435665 | − | 0.713742i | ||||
\(493\) | −18.6761 | − | 18.6761i | −0.841128 | − | 0.841128i | ||||
\(494\) | 0.337758 | − | 0.265788i | 0.0151964 | − | 0.0119584i | ||||
\(495\) | 1.65685 | 0.0744701 | ||||||||
\(496\) | 1.98391 | + | 1.01962i | 0.0890803 | + | 0.0457822i | ||||
\(497\) | 41.5443 | 1.86352 | ||||||||
\(498\) | −16.7257 | + | 13.1618i | −0.749496 | + | 0.589792i | ||||
\(499\) | 14.3798 | + | 14.3798i | 0.643728 | + | 0.643728i | 0.951470 | − | 0.307742i | \(-0.0995734\pi\) |
−0.307742 | + | 0.951470i | \(0.599573\pi\) | |||||||
\(500\) | 7.90393 | − | 4.82452i | 0.353474 | − | 0.215759i | ||||
\(501\) | −4.12825 | + | 4.12825i | −0.184437 | + | 0.184437i | ||||
\(502\) | 31.2922 | + | 3.73145i | 1.39664 | + | 0.166543i | ||||
\(503\) | − | 30.2969i | − | 1.35087i | −0.737420 | − | 0.675435i | \(-0.763956\pi\) | ||
0.737420 | − | 0.675435i | \(-0.236044\pi\) | |||||||
\(504\) | −11.7210 | + | 5.36618i | −0.522094 | + | 0.239029i | ||||
\(505\) | − | 0.303911i | − | 0.0135239i | ||||||
\(506\) | 1.65685 | − | 13.8945i | 0.0736562 | − | 0.617686i | ||||
\(507\) | −9.18740 | + | 9.18740i | −0.408027 | + | 0.408027i | ||||
\(508\) | −2.39813 | + | 9.91245i | −0.106400 | + | 0.439794i | ||||
\(509\) | 10.5825 | + | 10.5825i | 0.469063 | + | 0.469063i | 0.901611 | − | 0.432548i | \(-0.142385\pi\) |
−0.432548 | + | 0.901611i | \(0.642385\pi\) | |||||||
\(510\) | 1.49824 | + | 1.90393i | 0.0663430 | + | 0.0843073i | ||||
\(511\) | −2.46824 | −0.109188 | ||||||||
\(512\) | −6.31333 | + | 21.7288i | −0.279013 | + | 0.960287i | ||||
\(513\) | 3.61706 | 0.159697 | ||||||||
\(514\) | 7.57401 | + | 9.62491i | 0.334075 | + | 0.424536i | ||||
\(515\) | −0.447718 | − | 0.447718i | −0.0197288 | − | 0.0197288i | ||||
\(516\) | −1.07107 | + | 4.42717i | −0.0471511 | + | 0.194895i | ||||
\(517\) | −6.99647 | + | 6.99647i | −0.307704 | + | 0.307704i | ||||
\(518\) | 4.73393 | − | 39.6991i | 0.207997 | − | 1.74428i | ||||
\(519\) | 5.12695i | 0.225048i | ||||||||
\(520\) | −0.102341 | + | 0.0468544i | −0.00448794 | + | 0.00205470i | ||||
\(521\) | 24.9049i | 1.09110i | 0.838078 | + | 0.545551i | \(0.183680\pi\) | ||||
−0.838078 | + | 0.545551i | \(0.816320\pi\) | |||||||
\(522\) | 10.2540 | + | 1.22274i | 0.448806 | + | 0.0535180i | ||||
\(523\) | −12.9008 | + | 12.9008i | −0.564112 | + | 0.564112i | −0.930473 | − | 0.366361i | \(-0.880604\pi\) |
0.366361 | + | 0.930473i | \(0.380604\pi\) | |||||||
\(524\) | −5.11529 | + | 3.12235i | −0.223463 | + | 0.136401i | ||||
\(525\) | −15.3908 | − | 15.3908i | −0.671709 | − | 0.671709i | ||||
\(526\) | −14.8043 | + | 11.6498i | −0.645499 | + | 0.507955i | ||||
\(527\) | −2.01704 | −0.0878638 | ||||||||
\(528\) | −12.4455 | − | 6.39627i | −0.541620 | − | 0.278362i | ||||
\(529\) | 15.0000 | 0.652174 | ||||||||
\(530\) | 0.367381 | − | 0.289099i | 0.0159580 | − | 0.0125577i | ||||
\(531\) | 4.00000 | + | 4.00000i | 0.173585 | + | 0.173585i | ||||
\(532\) | 17.1778 | + | 28.1421i | 0.744754 | + | 1.22012i | ||||
\(533\) | −0.550984 | + | 0.550984i | −0.0238657 | + | 0.0238657i | ||||
\(534\) | 20.5771 | + | 2.45373i | 0.890460 | + | 0.106183i | ||||
\(535\) | 4.06074i | 0.175561i | ||||||||
\(536\) | −14.1555 | − | 5.26449i | −0.611423 | − | 0.227391i | ||||
\(537\) | − | 13.1286i | − | 0.566542i | ||||||
\(538\) | 2.76393 | − | 23.1785i | 0.119161 | − | 0.999297i | ||||
\(539\) | 34.0671 | − | 34.0671i | 1.46738 | − | 1.46738i | ||||
\(540\) | −0.920690 | − | 0.222743i | −0.0396202 | − | 0.00958535i | ||||
\(541\) | 18.2767 | + | 18.2767i | 0.785776 | + | 0.785776i | 0.980799 | − | 0.195023i | \(-0.0624782\pi\) |
−0.195023 | + | 0.980799i | \(0.562478\pi\) | |||||||
\(542\) | −19.2200 | − | 24.4245i | −0.825572 | − | 1.04912i | ||||
\(543\) | 15.3181 | 0.657364 | ||||||||
\(544\) | −3.90393 | − | 20.0853i | −0.167379 | − | 0.861150i | ||||
\(545\) | −3.82880 | −0.164008 | ||||||||
\(546\) | 0.334904 | + | 0.425589i | 0.0143326 | + | 0.0182135i | ||||
\(547\) | 13.7355 | + | 13.7355i | 0.587287 | + | 0.587287i | 0.936896 | − | 0.349609i | \(-0.113685\pi\) |
−0.349609 | + | 0.936896i | \(0.613685\pi\) | |||||||
\(548\) | 6.56930 | + | 1.58932i | 0.280627 | + | 0.0678922i | ||||
\(549\) | −2.72922 | + | 2.72922i | −0.116480 | + | 0.116480i | ||||
\(550\) | 2.79753 | − | 23.4603i | 0.119287 | − | 1.00035i | ||||
\(551\) | − | 26.4120i | − | 1.12519i | ||||||
\(552\) | −2.78863 | + | 7.49824i | −0.118692 | + | 0.319146i | ||||
\(553\) | 50.1055i | 2.13070i | ||||||||
\(554\) | −21.7467 | − | 2.59319i | −0.923929 | − | 0.110174i | ||||
\(555\) | 2.07736 | − | 2.07736i | 0.0881789 | − | 0.0881789i | ||||
\(556\) | 8.66665 | + | 14.1984i | 0.367548 | + | 0.602147i | ||||
\(557\) | −27.5525 | − | 27.5525i | −1.16744 | − | 1.16744i | −0.982808 | − | 0.184631i | \(-0.940891\pi\) |
−0.184631 | − | 0.982808i | \(-0.559109\pi\) | |||||||
\(558\) | 0.619753 | − | 0.487695i | 0.0262363 | − | 0.0206458i | ||||
\(559\) | 0.191354 | 0.00809342 | ||||||||
\(560\) | −2.63944 | − | 8.22117i | −0.111537 | − | 0.347408i | ||||
\(561\) | 12.6533 | 0.534224 | ||||||||
\(562\) | 25.4404 | − | 20.0195i | 1.07314 | − | 0.844472i | ||||
\(563\) | −19.8928 | − | 19.8928i | −0.838383 | − | 0.838383i | 0.150263 | − | 0.988646i | \(-0.451988\pi\) |
−0.988646 | + | 0.150263i | \(0.951988\pi\) | |||||||
\(564\) | 4.82843 | − | 2.94725i | 0.203313 | − | 0.124102i | ||||
\(565\) | 3.19879 | − | 3.19879i | 0.134574 | − | 0.134574i | ||||
\(566\) | 8.90746 | + | 1.06217i | 0.374408 | + | 0.0446464i | ||||
\(567\) | 4.55765i | 0.191403i | ||||||||
\(568\) | −10.7324 | − | 23.4420i | −0.450320 | − | 0.983603i | ||||
\(569\) | 13.4849i | 0.565317i | 0.959221 | + | 0.282658i | \(0.0912163\pi\) | ||||
−0.959221 | + | 0.282658i | \(0.908784\pi\) | |||||||
\(570\) | −0.286867 | + | 2.40569i | −0.0120156 | + | 0.100763i | ||||
\(571\) | −14.8284 | + | 14.8284i | −0.620550 | + | 0.620550i | −0.945672 | − | 0.325122i | \(-0.894595\pi\) |
0.325122 | + | 0.945672i | \(0.394595\pi\) | |||||||
\(572\) | −0.138232 | + | 0.571371i | −0.00577977 | + | 0.0238902i | ||||
\(573\) | 6.10234 | + | 6.10234i | 0.254929 | + | 0.254929i | ||||
\(574\) | −36.9652 | − | 46.9746i | −1.54290 | − | 1.96068i | ||||
\(575\) | −13.5077 | −0.563308 | ||||||||
\(576\) | 6.05588 | + | 5.22746i | 0.252328 | + | 0.217811i | ||||
\(577\) | −11.6176 | −0.483648 | −0.241824 | − | 0.970320i | \(-0.577746\pi\) | ||||
−0.241824 | + | 0.970320i | \(0.577746\pi\) | |||||||
\(578\) | −3.42554 | − | 4.35311i | −0.142484 | − | 0.181066i | ||||
\(579\) | −8.09735 | − | 8.09735i | −0.336514 | − | 0.336514i | ||||
\(580\) | −1.62648 | + | 6.72293i | −0.0675360 | + | 0.279154i | ||||
\(581\) | −48.5010 | + | 48.5010i | −2.01216 | + | 2.01216i | ||||
\(582\) | 0.722930 | − | 6.06255i | 0.0299664 | − | 0.251301i | ||||
\(583\) | − | 2.44158i | − | 0.101120i | ||||||
\(584\) | 0.637633 | + | 1.39274i | 0.0263854 | + | 0.0576319i | ||||
\(585\) | 0.0397948i | 0.00164531i | ||||||||
\(586\) | 42.9401 | + | 5.12040i | 1.77384 | + | 0.211522i | ||||
\(587\) | −17.0268 | + | 17.0268i | −0.702773 | + | 0.702773i | −0.965005 | − | 0.262232i | \(-0.915541\pi\) |
0.262232 | + | 0.965005i | \(0.415541\pi\) | |||||||
\(588\) | −23.5105 | + | 14.3507i | −0.969558 | + | 0.591814i | ||||
\(589\) | −1.42627 | − | 1.42627i | −0.0587682 | − | 0.0587682i | ||||
\(590\) | −2.97762 | + | 2.34315i | −0.122587 | + | 0.0964658i | ||||
\(591\) | −10.5925 | −0.435715 | ||||||||
\(592\) | −23.6237 | + | 7.58449i | −0.970929 | + | 0.311721i | ||||
\(593\) | 41.5372 | 1.70573 | 0.852865 | − | 0.522132i | \(-0.174863\pi\) | ||||
0.852865 | + | 0.522132i | \(0.174863\pi\) | |||||||
\(594\) | −3.88784 | + | 3.05941i | −0.159520 | + | 0.125529i | ||||
\(595\) | 5.52099 | + | 5.52099i | 0.226338 | + | 0.226338i | ||||
\(596\) | −14.7241 | − | 24.1222i | −0.603123 | − | 0.988085i | ||||
\(597\) | −2.60215 | + | 2.60215i | −0.106499 | + | 0.106499i | ||||
\(598\) | 0.333722 | + | 0.0397948i | 0.0136469 | + | 0.00162733i | ||||
\(599\) | − | 6.43160i | − | 0.262788i | −0.991330 | − | 0.131394i | \(-0.958055\pi\) | ||
0.991330 | − | 0.131394i | \(-0.0419453\pi\) | |||||||
\(600\) | −4.70849 | + | 12.6605i | −0.192223 | + | 0.516861i | ||||
\(601\) | 3.45844i | 0.141073i | 0.997509 | + | 0.0705364i | \(0.0224711\pi\) | ||||
−0.997509 | + | 0.0705364i | \(0.977529\pi\) | |||||||
\(602\) | −1.73812 | + | 14.5760i | −0.0708403 | + | 0.594072i | ||||
\(603\) | −3.77568 | + | 3.77568i | −0.153758 | + | 0.153758i | ||||
\(604\) | −19.3942 | − | 4.69205i | −0.789139 | − | 0.190917i | ||||
\(605\) | 0.414494 | + | 0.414494i | 0.0168516 | + | 0.0168516i | ||||
\(606\) | 0.561177 | + | 0.713133i | 0.0227963 | + | 0.0289690i | ||||
\(607\) | −30.1019 | −1.22180 | −0.610900 | − | 0.791708i | \(-0.709192\pi\) | ||||
−0.610900 | + | 0.791708i | \(0.709192\pi\) | |||||||
\(608\) | 11.4420 | − | 16.9629i | 0.464033 | − | 0.687938i | ||||
\(609\) | 33.2802 | 1.34858 | ||||||||
\(610\) | −1.59874 | − | 2.03165i | −0.0647311 | − | 0.0822590i | ||||
\(611\) | −0.168043 | − | 0.168043i | −0.00679829 | − | 0.00679829i | ||||
\(612\) | −7.03127 | − | 1.70108i | −0.284222 | − | 0.0687621i | ||||
\(613\) | 2.50490 | − | 2.50490i | 0.101172 | − | 0.101172i | −0.654709 | − | 0.755881i | \(-0.727209\pi\) |
0.755881 | + | 0.654709i | \(0.227209\pi\) | |||||||
\(614\) | 2.86822 | − | 24.0531i | 0.115752 | − | 0.970705i | ||||
\(615\) | − | 4.39236i | − | 0.177117i | ||||||
\(616\) | −42.2672 | − | 15.7194i | −1.70300 | − | 0.633353i | ||||
\(617\) | − | 22.9098i | − | 0.922315i | −0.887318 | − | 0.461157i | \(-0.847434\pi\) | ||
0.887318 | − | 0.461157i | \(-0.152566\pi\) | |||||||
\(618\) | 1.87730 | + | 0.223859i | 0.0755161 | + | 0.00900494i | ||||
\(619\) | −28.6104 | + | 28.6104i | −1.14995 | + | 1.14995i | −0.163386 | + | 0.986562i | \(0.552242\pi\) |
−0.986562 | + | 0.163386i | \(0.947758\pi\) | |||||||
\(620\) | 0.275212 | + | 0.450874i | 0.0110528 | + | 0.0181076i | ||||
\(621\) | 2.00000 | + | 2.00000i | 0.0802572 | + | 0.0802572i | ||||
\(622\) | 29.8571 | − | 23.4951i | 1.19716 | − | 0.942067i | ||||
\(623\) | 66.7847 | 2.67567 | ||||||||
\(624\) | 0.153627 | − | 0.298919i | 0.00615001 | − | 0.0119663i | ||||
\(625\) | −21.6855 | −0.867420 | ||||||||
\(626\) | −21.8818 | + | 17.2192i | −0.874574 | + | 0.688218i | ||||
\(627\) | 8.94725 | + | 8.94725i | 0.357319 | + | 0.357319i | ||||
\(628\) | 39.0179 | − | 23.8164i | 1.55698 | − | 0.950377i | ||||
\(629\) | 15.8647 | − | 15.8647i | 0.632567 | − | 0.632567i | ||||
\(630\) | −3.03127 | − | 0.361465i | −0.120769 | − | 0.0144011i | ||||
\(631\) | − | 11.1851i | − | 0.445270i | −0.974902 | − | 0.222635i | \(-0.928534\pi\) | ||
0.974902 | − | 0.222635i | \(-0.0714659\pi\) | |||||||
\(632\) | 28.2727 | − | 12.9440i | 1.12463 | − | 0.514885i | ||||
\(633\) | − | 14.3102i | − | 0.568779i | ||||||
\(634\) | −5.05470 | + | 42.3891i | −0.200748 | + | 1.68349i | ||||
\(635\) | −1.70774 | + | 1.70774i | −0.0677698 | + | 0.0677698i | ||||
\(636\) | −0.328240 | + | 1.35675i | −0.0130156 | + | 0.0537988i | ||||
\(637\) | 0.818234 | + | 0.818234i | 0.0324196 | + | 0.0324196i | ||||
\(638\) | 22.3400 | + | 28.3892i | 0.884449 | + | 1.12394i | ||||
\(639\) | −9.11529 | −0.360595 | ||||||||
\(640\) | −3.95705 | + | 3.61316i | −0.156416 | + | 0.142823i | ||||
\(641\) | −6.69312 | −0.264362 | −0.132181 | − | 0.991226i | \(-0.542198\pi\) | ||||
−0.132181 | + | 0.991226i | \(0.542198\pi\) | |||||||
\(642\) | −7.49824 | − | 9.52861i | −0.295932 | − | 0.376064i | ||||
\(643\) | −17.9410 | − | 17.9410i | −0.707522 | − | 0.707522i | 0.258491 | − | 0.966014i | \(-0.416775\pi\) |
−0.966014 | + | 0.258491i | \(0.916775\pi\) | |||||||
\(644\) | −6.06255 | + | 25.0590i | −0.238898 | + | 0.987464i | ||||
\(645\) | −0.762725 | + | 0.762725i | −0.0300323 | + | 0.0300323i | ||||
\(646\) | −2.19079 | + | 18.3722i | −0.0861957 | + | 0.722843i | ||||
\(647\) | − | 6.72999i | − | 0.264583i | −0.991211 | − | 0.132292i | \(-0.957766\pi\) | ||
0.991211 | − | 0.132292i | \(-0.0422335\pi\) | |||||||
\(648\) | 2.57172 | − | 1.17740i | 0.101027 | − | 0.0462527i | ||||
\(649\) | 19.7890i | 0.776786i | ||||||||
\(650\) | 0.563475 | + | 0.0671918i | 0.0221013 | + | 0.00263548i | ||||
\(651\) | 1.79715 | − | 1.79715i | 0.0704360 | − | 0.0704360i | ||||
\(652\) | 18.1184 | − | 11.0594i | 0.709572 | − | 0.433120i | ||||
\(653\) | 26.1731 | + | 26.1731i | 1.02423 | + | 1.02423i | 0.999699 | + | 0.0245347i | \(0.00781042\pi\) |
0.0245347 | + | 0.999699i | \(0.492190\pi\) | |||||||
\(654\) | 8.98435 | − | 7.06995i | 0.351316 | − | 0.276457i | ||||
\(655\) | −1.41921 | −0.0554529 | ||||||||
\(656\) | −16.9567 | + | 32.9933i | −0.662047 | + | 1.28817i | ||||
\(657\) | 0.541560 | 0.0211283 | ||||||||
\(658\) | 14.3267 | − | 11.2739i | 0.558511 | − | 0.439503i | ||||
\(659\) | 13.9741 | + | 13.9741i | 0.544353 | + | 0.544353i | 0.924802 | − | 0.380449i | \(-0.124230\pi\) |
−0.380449 | + | 0.924802i | \(0.624230\pi\) | |||||||
\(660\) | −1.72646 | − | 2.82843i | −0.0672024 | − | 0.110096i | ||||
\(661\) | 11.9241 | − | 11.9241i | 0.463794 | − | 0.463794i | −0.436103 | − | 0.899897i | \(-0.643642\pi\) |
0.899897 | + | 0.436103i | \(0.143642\pi\) | |||||||
\(662\) | 29.1784 | + | 3.47939i | 1.13405 | + | 0.135230i | ||||
\(663\) | 0.303911i | 0.0118029i | ||||||||
\(664\) | 39.8969 | + | 14.8379i | 1.54830 | + | 0.575820i | ||||
\(665\) | 7.80785i | 0.302776i | ||||||||
\(666\) | −1.03868 | + | 8.71044i | −0.0402480 | + | 0.337523i | ||||
\(667\) | 14.6041 | − | 14.6041i | 0.565473 | − | 0.565473i | ||||
\(668\) | 11.3490 | + | 2.74568i | 0.439108 | + | 0.106234i | ||||
\(669\) | 3.43764 | + | 3.43764i | 0.132907 | + | 0.132907i | ||||
\(670\) | −2.21174 | − | 2.81064i | −0.0854470 | − | 0.108584i | ||||
\(671\) | −13.5021 | −0.521244 | ||||||||
\(672\) | 21.3740 | + | 14.4173i | 0.824521 | + | 0.556161i | ||||
\(673\) | −37.3066 | −1.43807 | −0.719033 | − | 0.694976i | \(-0.755415\pi\) | ||||
−0.719033 | + | 0.694976i | \(0.755415\pi\) | |||||||
\(674\) | −20.1234 | − | 25.5724i | −0.775125 | − | 0.985013i | ||||
\(675\) | 3.37691 | + | 3.37691i | 0.129978 | + | 0.129978i | ||||
\(676\) | 25.2572 | + | 6.11050i | 0.971432 | + | 0.235019i | ||||
\(677\) | 0.447461 | − | 0.447461i | 0.0171973 | − | 0.0171973i | −0.698456 | − | 0.715653i | \(-0.746129\pi\) |
0.715653 | + | 0.698456i | \(0.246129\pi\) | |||||||
\(678\) | −1.59939 | + | 13.4126i | −0.0614243 | + | 0.515109i | ||||
\(679\) | − | 19.6764i | − | 0.755113i | ||||||
\(680\) | 1.68903 | − | 4.54156i | 0.0647713 | − | 0.174161i | ||||
\(681\) | − | 15.0496i | − | 0.576702i | ||||||
\(682\) | 2.73941 | + | 0.326662i | 0.104898 | + | 0.0125085i | ||||
\(683\) | −4.27521 | + | 4.27521i | −0.163586 | + | 0.163586i | −0.784153 | − | 0.620567i | \(-0.786902\pi\) |
0.620567 | + | 0.784153i | \(0.286902\pi\) | |||||||
\(684\) | −3.76901 | − | 6.17471i | −0.144112 | − | 0.236096i | ||||
\(685\) | 1.13178 | + | 1.13178i | 0.0432430 | + | 0.0432430i | ||||
\(686\) | −34.3026 | + | 26.9933i | −1.30968 | + | 1.03061i | ||||
\(687\) | 28.5264 | 1.08835 | ||||||||
\(688\) | 8.67371 | − | 2.78473i | 0.330682 | − | 0.106167i | ||||
\(689\) | 0.0586426 | 0.00223410 | ||||||||
\(690\) | −1.48881 | + | 1.17157i | −0.0566781 | + | 0.0446010i | ||||
\(691\) | 20.0786 | + | 20.0786i | 0.763827 | + | 0.763827i | 0.977012 | − | 0.213185i | \(-0.0683836\pi\) |
−0.213185 | + | 0.977012i | \(0.568384\pi\) | |||||||
\(692\) | 8.75225 | − | 5.34234i | 0.332711 | − | 0.203085i | ||||
\(693\) | −11.2739 | + | 11.2739i | −0.428261 | + | 0.428261i | ||||
\(694\) | −21.6519 | − | 2.58188i | −0.821893 | − | 0.0980069i | ||||
\(695\) | 3.93926i | 0.149425i | ||||||||
\(696\) | −8.59744 | − | 18.7788i | −0.325885 | − | 0.711809i | ||||
\(697\) | − | 33.5443i | − | 1.27058i | ||||||
\(698\) | −4.74958 | + | 39.8303i | −0.179774 | + | 1.50760i | ||||
\(699\) | 9.59558 | − | 9.59558i | 0.362938 | − | 0.362938i | ||||
\(700\) | −10.2364 | + | 42.3111i | −0.386898 | + | 1.59921i | ||||
\(701\) | −10.4467 | − | 10.4467i | −0.394565 | − | 0.394565i | 0.481746 | − | 0.876311i | \(-0.340003\pi\) |
−0.876311 | + | 0.481746i | \(0.840003\pi\) | |||||||
\(702\) | −0.0734818 | − | 0.0933792i | −0.00277339 | − | 0.00352437i | ||||
\(703\) | 22.4361 | 0.846192 | ||||||||
\(704\) | 2.04922 | + | 27.9108i | 0.0772328 | + | 1.05193i | ||||
\(705\) | 1.33962 | 0.0504529 | ||||||||
\(706\) | −10.6799 | − | 13.5718i | −0.401943 | − | 0.510781i | ||||
\(707\) | 2.06793 | + | 2.06793i | 0.0777727 | + | 0.0777727i | ||||
\(708\) | 2.66038 | − | 10.9965i | 0.0999834 | − | 0.413273i | ||||
\(709\) | 16.0916 | − | 16.0916i | 0.604332 | − | 0.604332i | −0.337127 | − | 0.941459i | \(-0.609455\pi\) |
0.941459 | + | 0.337127i | \(0.109455\pi\) | |||||||
\(710\) | 0.722930 | − | 6.06255i | 0.0271311 | − | 0.227523i | ||||
\(711\) | − | 10.9937i | − | 0.412296i | ||||||
\(712\) | −17.2528 | − | 37.6842i | −0.646577 | − | 1.41228i | ||||
\(713\) | − | 1.57726i | − | 0.0590690i | ||||||
\(714\) | −23.1497 | − | 2.76049i | −0.866356 | − | 0.103309i | ||||
\(715\) | −0.0984373 | + | 0.0984373i | −0.00368135 | + | 0.00368135i | ||||
\(716\) | −22.4120 | + | 13.6802i | −0.837574 | + | 0.511252i | ||||
\(717\) | −20.7627 | − | 20.7627i | −0.775398 | − | 0.775398i | ||||
\(718\) | −37.2065 | + | 29.2785i | −1.38854 | + | 1.09266i | ||||
\(719\) | −30.9957 | −1.15594 | −0.577972 | − | 0.816057i | \(-0.696156\pi\) | ||||
−0.577972 | + | 0.816057i | \(0.696156\pi\) | |||||||
\(720\) | 0.579123 | + | 1.80382i | 0.0215826 | + | 0.0672243i | ||||
\(721\) | 6.09292 | 0.226912 | ||||||||
\(722\) | 6.57585 | − | 5.17466i | 0.244728 | − | 0.192581i | ||||
\(723\) | −16.9750 | − | 16.9750i | −0.631307 | − | 0.631307i | ||||
\(724\) | −15.9617 | − | 26.1497i | −0.593211 | − | 0.971846i | ||||
\(725\) | 24.6584 | − | 24.6584i | 0.915790 | − | 0.915790i | ||||
\(726\) | −1.73799 | − | 0.207247i | −0.0645027 | − | 0.00769165i | ||||
\(727\) | 41.1117i | 1.52475i | 0.647135 | + | 0.762375i | \(0.275967\pi\) | ||||
−0.647135 | + | 0.762375i | \(0.724033\pi\) | |||||||
\(728\) | 0.377553 | − | 1.01519i | 0.0139930 | − | 0.0376253i | ||||
\(729\) | − | 1.00000i | − | 0.0370370i | ||||||
\(730\) | −0.0429509 | + | 0.360189i | −0.00158968 | + | 0.0133312i | ||||
\(731\) | −5.82490 | + | 5.82490i | −0.215442 | + | 0.215442i | ||||
\(732\) | 7.50295 | + | 1.81519i | 0.277317 | + | 0.0670915i | ||||
\(733\) | 0.146061 | + | 0.146061i | 0.00539490 | + | 0.00539490i | 0.709799 | − | 0.704404i | \(-0.248786\pi\) |
−0.704404 | + | 0.709799i | \(0.748786\pi\) | |||||||
\(734\) | −0.614272 | − | 0.780604i | −0.0226732 | − | 0.0288126i | ||||
\(735\) | −6.52284 | −0.240599 | ||||||||
\(736\) | 15.7061 | − | 3.05275i | 0.578934 | − | 0.112526i | ||||
\(737\) | −18.6792 | −0.688058 | ||||||||
\(738\) | 8.11058 | + | 10.3068i | 0.298555 | + | 0.379397i | ||||
\(739\) | −1.50766 | − | 1.50766i | −0.0554601 | − | 0.0554601i | 0.678833 | − | 0.734293i | \(-0.262486\pi\) |
−0.734293 | + | 0.678833i | \(0.762486\pi\) | |||||||
\(740\) | −5.71090 | − | 1.38164i | −0.209937 | − | 0.0507902i | ||||
\(741\) | −0.214897 | + | 0.214897i | −0.00789445 | + | 0.00789445i | ||||
\(742\) | −0.532664 | + | 4.46696i | −0.0195547 | + | 0.163987i | ||||
\(743\) | 40.5175i | 1.48644i | 0.669046 | + | 0.743221i | \(0.266703\pi\) | ||||
−0.669046 | + | 0.743221i | \(0.733297\pi\) | |||||||
\(744\) | −1.47834 | − | 0.549801i | −0.0541985 | − | 0.0201567i | ||||
\(745\) | − | 6.69256i | − | 0.245196i | ||||||
\(746\) | 37.6529 | + | 4.48993i | 1.37857 | + | 0.164388i | ||||
\(747\) | 10.6417 | − | 10.6417i | 0.389358 | − | 0.389358i | ||||
\(748\) | −13.1849 | − | 21.6006i | −0.482088 | − | 0.789795i | ||||
\(749\) | −27.6309 | − | 27.6309i | −1.00961 | − | 1.00961i | ||||
\(750\) | −5.14567 | + | 4.04922i | −0.187893 | + | 0.147857i | ||||
\(751\) | −12.5843 | −0.459208 | −0.229604 | − | 0.973284i | \(-0.573743\pi\) | ||||
−0.229604 | + | 0.973284i | \(0.573743\pi\) | |||||||
\(752\) | −10.0625 | − | 5.17157i | −0.366943 | − | 0.188588i | ||||
\(753\) | −22.2837 | −0.812064 | ||||||||
\(754\) | −0.681859 | + | 0.536568i | −0.0248319 | + | 0.0195406i | ||||
\(755\) | −3.34129 | − | 3.34129i | −0.121602 | − | 0.121602i | ||||
\(756\) | 7.78039 | − | 4.74912i | 0.282970 | − | 0.172724i | ||||
\(757\) | −7.49900 | + | 7.49900i | −0.272556 | + | 0.272556i | −0.830128 | − | 0.557572i | \(-0.811733\pi\) |
0.557572 | + | 0.830128i | \(0.311733\pi\) | |||||||
\(758\) | −3.53186 | − | 0.421157i | −0.128283 | − | 0.0152971i | ||||
\(759\) | 9.89450i | 0.359148i | ||||||||
\(760\) | 4.40569 | − | 2.01704i | 0.159811 | − | 0.0731659i | ||||
\(761\) | − | 42.8182i | − | 1.55216i | −0.630635 | − | 0.776079i | \(-0.717206\pi\) | ||
0.630635 | − | 0.776079i | \(-0.282794\pi\) | |||||||
\(762\) | 0.853872 | − | 7.16064i | 0.0309325 | − | 0.259403i | ||||
\(763\) | 26.0527 | − | 26.0527i | 0.943172 | − | 0.943172i | ||||
\(764\) | 4.05864 | − | 16.7761i | 0.146837 | − | 0.606936i | ||||
\(765\) | −1.21137 | − | 1.21137i | −0.0437971 | − | 0.0437971i | ||||
\(766\) | 22.2908 | + | 28.3267i | 0.805398 | + | 1.02348i | ||||
\(767\) | −0.475298 | −0.0171620 | ||||||||
\(768\) | 2.61353 | − | 15.7851i | 0.0943076 | − | 0.569596i | ||||
\(769\) | 12.7455 | 0.459614 | 0.229807 | − | 0.973236i | \(-0.426190\pi\) | ||||
0.229807 | + | 0.973236i | \(0.426190\pi\) | |||||||
\(770\) | −6.60411 | − | 8.39236i | −0.237995 | − | 0.302440i | ||||
\(771\) | −6.12382 | − | 6.12382i | −0.220544 | − | 0.220544i | ||||
\(772\) | −5.38551 | + | 22.2606i | −0.193829 | + | 0.801175i | ||||
\(773\) | −22.8765 | + | 22.8765i | −0.822809 | + | 0.822809i | −0.986510 | − | 0.163701i | \(-0.947657\pi\) |
0.163701 | + | 0.986510i | \(0.447657\pi\) | |||||||
\(774\) | 0.381362 | − | 3.19813i | 0.0137078 | − | 0.114955i | ||||
\(775\) | − | 2.66314i | − | 0.0956630i | ||||||
\(776\) | −11.1027 | + | 5.08312i | −0.398564 | + | 0.182473i | ||||
\(777\) | 28.2704i | 1.01419i | ||||||||
\(778\) | −23.2451 | − | 2.77187i | −0.833377 | − | 0.0993763i | ||||
\(779\) | 23.7194 | − | 23.7194i | 0.849836 | − | 0.849836i | ||||
\(780\) | 0.0679339 | − | 0.0414666i | 0.00243242 | − | 0.00148474i | ||||
\(781\) | −22.5478 | − | 22.5478i | −0.806825 | − | 0.806825i | ||||
\(782\) | −11.3700 | + | 8.94725i | −0.406590 | + | 0.319953i | ||||
\(783\) | −7.30205 | −0.260954 | ||||||||
\(784\) | 48.9964 | + | 25.1814i | 1.74987 | + | 0.899335i | ||||
\(785\) | 10.8253 | 0.386370 | ||||||||
\(786\) | 3.33019 | − | 2.62059i | 0.118784 | − | 0.0934733i | ||||
\(787\) | 5.20470 | + | 5.20470i | 0.185528 | + | 0.185528i | 0.793759 | − | 0.608232i | \(-0.208121\pi\) |
−0.608232 | + | 0.793759i | \(0.708121\pi\) | |||||||
\(788\) | 11.0374 | + | 18.0824i | 0.393193 | + | 0.644160i | ||||
\(789\) | 9.41921 | − | 9.41921i | 0.335333 | − | 0.335333i | ||||
\(790\) | 7.31187 | + | 0.871906i | 0.260145 | + | 0.0310210i | ||||
\(791\) | 43.5317i | 1.54781i | ||||||||
\(792\) | 9.27391 | + | 3.44902i | 0.329534 | + | 0.122555i | ||||
\(793\) | − | 0.324298i | − | 0.0115162i | ||||||
\(794\) | 2.14232 | − | 17.9656i | 0.0760280 | − | 0.637577i | ||||
\(795\) | −0.233745 | + | 0.233745i | −0.00829009 | + | 0.00829009i | ||||
\(796\) | 7.15363 | + | 1.73068i | 0.253554 | + | 0.0613424i | ||||
\(797\) | 17.0149 | + | 17.0149i | 0.602698 | + | 0.602698i | 0.941028 | − | 0.338330i | \(-0.109862\pi\) |
−0.338330 | + | 0.941028i | \(0.609862\pi\) | |||||||
\(798\) | −14.4173 | − | 18.3213i | −0.510369 | − | 0.648566i | ||||
\(799\) | 10.2306 | 0.361932 | ||||||||
\(800\) | 26.5190 | − | 5.15444i | 0.937589 | − | 0.182237i | ||||
\(801\) | −14.6533 | −0.517750 | ||||||||
\(802\) | −15.8167 | − | 20.0995i | −0.558506 | − | 0.709738i | ||||
\(803\) | 1.33962 | + | 1.33962i | 0.0472740 | + | 0.0472740i | ||||
\(804\) | 10.3798 | + | 2.51119i | 0.366067 | + | 0.0885628i | ||||
\(805\) | −4.31724 | + | 4.31724i | −0.152163 | + | 0.152163i | ||||
\(806\) | −0.00784586 | + | 0.0657960i | −0.000276359 | + | 0.00231756i | ||||
\(807\) | 16.5058i | 0.581032i | ||||||||
\(808\) | 0.632641 | − | 1.70108i | 0.0222562 | − | 0.0598438i | ||||
\(809\) | − | 7.83586i | − | 0.275494i | −0.990467 | − | 0.137747i | \(-0.956014\pi\) | ||
0.990467 | − | 0.137747i | \(-0.0439861\pi\) | |||||||
\(810\) | 0.665096 | + | 0.0793096i | 0.0233691 | + | 0.00278665i | ||||
\(811\) | 32.3396 | − | 32.3396i | 1.13560 | − | 1.13560i | 0.146366 | − | 0.989230i | \(-0.453242\pi\) |
0.989230 | − | 0.146366i | \(-0.0467578\pi\) | |||||||
\(812\) | −34.6783 | − | 56.8128i | −1.21697 | − | 1.99374i | ||||
\(813\) | 15.5400 | + | 15.5400i | 0.545011 | + | 0.545011i | ||||
\(814\) | −24.1157 | + | 18.9771i | −0.845254 | + | 0.665146i | ||||
\(815\) | 5.02684 | 0.176083 | ||||||||
\(816\) | 4.42274 | + | 13.7757i | 0.154827 | + | 0.482245i | ||||
\(817\) | −8.23765 | −0.288199 | ||||||||
\(818\) | 28.0366 | − | 22.0625i | 0.980278 | − | 0.771399i | ||||
\(819\) | −0.270780 | − | 0.270780i | −0.00946181 | − | 0.00946181i | ||||
\(820\) | −7.49824 | + | 4.57689i | −0.261850 | + | 0.159832i | ||||
\(821\) | 19.3541 | − | 19.3541i | 0.675464 | − | 0.675464i | −0.283507 | − | 0.958970i | \(-0.591498\pi\) |
0.958970 | + | 0.283507i | \(0.0914978\pi\) | |||||||
\(822\) | −4.74559 | − | 0.565889i | −0.165521 | − | 0.0197376i | ||||
\(823\) | − | 28.8560i | − | 1.00586i | −0.864328 | − | 0.502929i | \(-0.832256\pi\) | ||
0.864328 | − | 0.502929i | \(-0.167744\pi\) | |||||||
\(824\) | −1.57401 | − | 3.43801i | −0.0548334 | − | 0.119769i | ||||
\(825\) | 16.7064i | 0.581644i | ||||||||
\(826\) | 4.31724 | − | 36.2047i | 0.150216 | − | 1.25972i | ||||
\(827\) | −10.1984 | + | 10.1984i | −0.354634 | + | 0.354634i | −0.861830 | − | 0.507197i | \(-0.830682\pi\) |
0.507197 | + | 0.861830i | \(0.330682\pi\) | |||||||
\(828\) | 1.33019 | − | 5.49824i | 0.0462274 | − | 0.191077i | ||||
\(829\) | 15.3794 | + | 15.3794i | 0.534148 | + | 0.534148i | 0.921804 | − | 0.387656i | \(-0.126715\pi\) |
−0.387656 | + | 0.921804i | \(0.626715\pi\) | |||||||
\(830\) | 6.23375 | + | 7.92172i | 0.216376 | + | 0.274967i | ||||
\(831\) | 15.4862 | 0.537210 | ||||||||
\(832\) | −0.670368 | + | 0.0492187i | −0.0232408 | + | 0.00170635i | ||||
\(833\) | −49.8147 | −1.72598 | ||||||||
\(834\) | −7.27391 | − | 9.24354i | −0.251875 | − | 0.320078i | ||||
\(835\) | 1.95524 | + | 1.95524i | 0.0676640 | + | 0.0676640i | ||||
\(836\) | 5.95078 | − | 24.5970i | 0.205812 | − | 0.850707i | ||||
\(837\) | −0.394316 | + | 0.394316i | −0.0136296 | + | 0.0136296i | ||||
\(838\) | −1.71756 | + | 14.4036i | −0.0593323 | + | 0.497565i | ||||
\(839\) | 44.4557i | 1.53478i | 0.641181 | + | 0.767390i | \(0.278445\pi\) | ||||
−0.641181 | + | 0.767390i | \(0.721555\pi\) | |||||||
\(840\) | 2.54156 | + | 5.55136i | 0.0876921 | + | 0.191540i | ||||
\(841\) | 24.3200i | 0.838620i | ||||||||
\(842\) | 4.75729 | + | 0.567285i | 0.163947 | + | 0.0195499i | ||||
\(843\) | −16.1864 | + | 16.1864i | −0.557488 | + | 0.557488i | ||||
\(844\) | −24.4290 | + | 14.9114i | −0.840881 | + | 0.513270i | ||||
\(845\) | 4.35139 | + | 4.35139i | 0.149692 | + | 0.149692i | ||||
\(846\) | −3.14343 | + | 2.47363i | −0.108073 | + | 0.0850450i | ||||
\(847\) | −5.64077 | −0.193819 | ||||||||
\(848\) | 2.65815 | − | 0.853410i | 0.0912813 | − | 0.0293062i | ||||
\(849\) | −6.34315 | −0.217696 | ||||||||
\(850\) | −19.1977 | + | 15.1071i | −0.658477 | + | 0.518168i | ||||
\(851\) | 12.4057 | + | 12.4057i | 0.425262 | + | 0.425262i | ||||
\(852\) | 9.49824 | + | 15.5608i | 0.325404 | + | 0.533104i | ||||
\(853\) | −11.7131 | + | 11.7131i | −0.401049 | + | 0.401049i | −0.878603 | − | 0.477553i | \(-0.841524\pi\) |
0.477553 | + | 0.878603i | \(0.341524\pi\) | |||||||
\(854\) | 24.7026 | + | 2.94567i | 0.845307 | + | 0.100799i | ||||
\(855\) | − | 1.71313i | − | 0.0585879i | ||||||
\(856\) | −8.45311 | + | 22.7292i | −0.288921 | + | 0.776868i | ||||
\(857\) | 19.0888i | 0.652062i | 0.945359 | + | 0.326031i | \(0.105711\pi\) | ||||
−0.945359 | + | 0.326031i | \(0.894289\pi\) | |||||||
\(858\) | 0.0492187 | − | 0.412751i | 0.00168030 | − | 0.0140911i | ||||
\(859\) | −38.1323 | + | 38.1323i | −1.30106 | + | 1.30106i | −0.373379 | + | 0.927679i | \(0.621801\pi\) |
−0.927679 | + | 0.373379i | \(0.878199\pi\) | |||||||
\(860\) | 2.09682 | + | 0.507285i | 0.0715010 | + | 0.0172983i | ||||
\(861\) | 29.8874 | + | 29.8874i | 1.01856 | + | 1.01856i | ||||
\(862\) | −3.86952 | − | 4.91731i | −0.131796 | − | 0.167484i | ||||
\(863\) | 3.64533 | 0.124089 | 0.0620443 | − | 0.998073i | \(-0.480238\pi\) | ||||
0.0620443 | + | 0.998073i | \(0.480238\pi\) | |||||||
\(864\) | −4.68971 | − | 3.16333i | −0.159547 | − | 0.107619i | ||||
\(865\) | 2.42826 | 0.0825632 | ||||||||
\(866\) | 6.39627 | + | 8.12825i | 0.217354 | + | 0.276209i | ||||
\(867\) | 2.76965 | + | 2.76965i | 0.0940623 | + | 0.0940623i | ||||
\(868\) | −4.94059 | − | 1.19528i | −0.167694 | − | 0.0405704i | ||||
\(869\) | 27.1943 | − | 27.1943i | 0.922504 | − | 0.922504i | ||||
\(870\) | 0.579123 | − | 4.85657i | 0.0196341 | − | 0.164653i | ||||
\(871\) | − | 0.448643i | − | 0.0152017i | ||||||
\(872\) | −21.4310 | − | 7.97028i | −0.725744 | − | 0.269908i | ||||
\(873\) | 4.31724i | 0.146116i | ||||||||
\(874\) | −14.3665 | − | 1.71313i | −0.485953 | − | 0.0579476i | ||||
\(875\) | −14.9213 | + | 14.9213i | −0.504433 | + | 0.504433i | ||||
\(876\) | −0.564311 | − | 0.924500i | −0.0190663 | − | 0.0312360i | ||||
\(877\) | 40.0563 | + | 40.0563i | 1.35260 | + | 1.35260i | 0.882738 | + | 0.469866i | \(0.155698\pi\) |
0.469866 | + | 0.882738i | \(0.344302\pi\) | |||||||
\(878\) | 32.9558 | − | 25.9336i | 1.11221 | − | 0.875215i | ||||
\(879\) | −30.5783 | −1.03138 | ||||||||
\(880\) | −3.02944 | + | 5.89450i | −0.102122 | + | 0.198704i | ||||
\(881\) | −20.0118 | −0.674214 | −0.337107 | − | 0.941466i | \(-0.609448\pi\) | ||||
−0.337107 | + | 0.941466i | \(0.609448\pi\) | |||||||
\(882\) | 15.3060 | − | 12.0446i | 0.515379 | − | 0.405561i | ||||
\(883\) | −10.6273 | − | 10.6273i | −0.357636 | − | 0.357636i | 0.505305 | − | 0.862941i | \(-0.331380\pi\) |
−0.862941 | + | 0.505305i | \(0.831380\pi\) | |||||||
\(884\) | 0.518808 | − | 0.316678i | 0.0174494 | − | 0.0106510i | ||||
\(885\) | 1.89450 | − | 1.89450i | 0.0636830 | − | 0.0636830i | ||||
\(886\) | 20.4662 | + | 2.44049i | 0.687574 | + | 0.0819900i | ||||
\(887\) | − | 26.1180i | − | 0.876958i | −0.898742 | − | 0.438479i | \(-0.855517\pi\) | ||
0.898742 | − | 0.438479i | \(-0.144483\pi\) | |||||||
\(888\) | 15.9520 | − | 7.30324i | 0.535313 | − | 0.245081i | ||||
\(889\) | − | 23.2404i | − | 0.779458i | ||||||
\(890\) | 1.16215 | − | 9.74587i | 0.0389553 | − | 0.326682i | ||||
\(891\) | 2.47363 | − | 2.47363i | 0.0828696 | − | 0.0828696i | ||||
\(892\) | 2.28636 | − | 9.45048i | 0.0765530 | − | 0.316425i | ||||
\(893\) | 7.23412 | + | 7.23412i | 0.242081 | + | 0.242081i | ||||
\(894\) | 12.3579 | + | 15.7042i | 0.413311 | + | 0.525228i | ||||
\(895\) | −6.21805 | −0.207847 | ||||||||
\(896\) | 2.33999 | − | 51.5108i | 0.0781736 | − | 1.72085i | ||||
\(897\) | −0.237649 | −0.00793486 | ||||||||
\(898\) | −5.67452 | − | 7.21107i | −0.189361 | − | 0.240636i | ||||
\(899\) | 2.87932 | + | 2.87932i | 0.0960306 | + | 0.0960306i | ||||
\(900\) | 2.24597 | − | 9.28354i | 0.0748658 | − | 0.309451i | ||||
\(901\) | −1.78510 | + | 1.78510i | −0.0594704 | + | 0.0594704i | ||||
\(902\) | −5.43253 | + | 45.5576i | −0.180884 | + | 1.51690i | ||||
\(903\) | − | 10.3798i | − | 0.345418i | ||||||
\(904\) | 24.5634 | − | 11.2458i | 0.816966 | − | 0.374029i | ||||
\(905\) | − | 7.25507i | − | 0.241167i | ||||||
\(906\) | 14.0101 | + | 1.67064i | 0.465456 | + | 0.0555034i | ||||
\(907\) | 36.2378 | − | 36.2378i | 1.20326 | − | 1.20326i | 0.230087 | − | 0.973170i | \(-0.426099\pi\) |
0.973170 | − | 0.230087i | \(-0.0739010\pi\) | |||||||
\(908\) | −25.6913 | + | 15.6818i | −0.852594 | + | 0.520420i | ||||
\(909\) | −0.453728 | − | 0.453728i | −0.0150492 | − | 0.0150492i | ||||
\(910\) | 0.201570 | − | 0.158619i | 0.00668198 | − | 0.00525817i | ||||
\(911\) | −21.0535 | −0.697533 | −0.348767 | − | 0.937210i | \(-0.613399\pi\) | ||||
−0.348767 | + | 0.937210i | \(0.613399\pi\) | |||||||
\(912\) | −6.61353 | + | 12.8682i | −0.218996 | + | 0.426109i | ||||
\(913\) | 52.6470 | 1.74236 | ||||||||
\(914\) | 10.0063 | − | 7.87412i | 0.330978 | − | 0.260453i | ||||
\(915\) | 1.29263 | + | 1.29263i | 0.0427330 | + | 0.0427330i | ||||
\(916\) | −29.7248 | − | 48.6975i | −0.982134 | − | 1.60901i | ||||
\(917\) | 9.65685 | − | 9.65685i | 0.318897 | − | 0.318897i | ||||
\(918\) | 5.07931 | + | 0.605684i | 0.167642 | + | 0.0199905i | ||||
\(919\) | 17.8839i | 0.589937i | 0.955507 | + | 0.294968i | \(0.0953091\pi\) | ||||
−0.955507 | + | 0.294968i | \(0.904691\pi\) | |||||||
\(920\) | 3.55136 | + | 1.32077i | 0.117085 | + | 0.0435444i | ||||
\(921\) | 17.1286i | 0.564407i | ||||||||
\(922\) | −3.46262 | + | 29.0378i | −0.114035 | + | 0.956310i | ||||
\(923\) | 0.541560 | − | 0.541560i | 0.0178257 | − | 0.0178257i | ||||
\(924\) | 30.9933 | + | 7.49824i | 1.01961 | + | 0.246674i | ||||
\(925\) | 20.9465 | + | 20.9465i | 0.688716 | + | 0.688716i | ||||
\(926\) | −16.3048 | − | 20.7199i | −0.535810 | − | 0.680897i | ||||
\(927\) | −1.33686 | −0.0439081 | ||||||||
\(928\) | −23.0988 | + | 34.2445i | −0.758256 | + | 1.12413i | ||||
\(929\) | 10.2774 | 0.337192 | 0.168596 | − | 0.985685i | \(-0.446077\pi\) | ||||
0.168596 | + | 0.985685i | \(0.446077\pi\) | |||||||
\(930\) | −0.230985 | − | 0.293531i | −0.00757430 | − | 0.00962527i | ||||
\(931\) | −35.2243 | − | 35.2243i | −1.15443 | − | 1.15443i | ||||
\(932\) | −26.3794 | − | 6.38198i | −0.864086 | − | 0.209049i | ||||
\(933\) | −18.9965 | + | 18.9965i | −0.621917 | + | 0.621917i | ||||
\(934\) | 5.56837 | − | 46.6968i | 0.182203 | − | 1.52796i | ||||
\(935\) | − | 5.99294i | − | 0.195990i | ||||||
\(936\) | −0.0828394 | + | 0.222743i | −0.00270769 | + | 0.00728059i | ||||
\(937\) | − | 13.5780i | − | 0.443574i | −0.975095 | − | 0.221787i | \(-0.928811\pi\) | ||
0.975095 | − | 0.221787i | \(-0.0711890\pi\) | |||||||
\(938\) | 34.1743 | + | 4.07513i | 1.11583 | + | 0.133058i | ||||
\(939\) | 13.9222 | − | 13.9222i | 0.454335 | − | 0.454335i | ||||
\(940\) | −1.39589 | − | 2.28687i | −0.0455290 | − | 0.0745894i | ||||
\(941\) | −3.95902 | − | 3.95902i | −0.129060 | − | 0.129060i | 0.639626 | − | 0.768686i | \(-0.279089\pi\) |
−0.768686 | + | 0.639626i | \(0.779089\pi\) | |||||||
\(942\) | −25.4017 | + | 19.9891i | −0.827632 | + | 0.651279i | ||||
\(943\) | 26.2306 | 0.854186 | ||||||||
\(944\) | −21.5443 | + | 6.91688i | −0.701207 | + | 0.225125i | ||||
\(945\) | 2.15862 | 0.0702199 | ||||||||
\(946\) | 8.85433 | − | 6.96764i | 0.287879 | − | 0.226537i | ||||
\(947\) | −33.1708 | − | 33.1708i | −1.07791 | − | 1.07791i | −0.996697 | − | 0.0812084i | \(-0.974122\pi\) |
−0.0812084 | − | 0.996697i | \(-0.525878\pi\) | |||||||
\(948\) | −18.7674 | + | 11.4556i | −0.609538 | + | 0.372059i | ||||
\(949\) | −0.0321752 | + | 0.0321752i | −0.00104445 | + | 0.00104445i | ||||
\(950\) | −24.2572 | − | 2.89255i | −0.787006 | − | 0.0938468i | ||||
\(951\) | − | 30.1860i | − | 0.978847i | ||||||
\(952\) | 19.4098 | + | 42.3955i | 0.629075 | + | 1.37405i | ||||
\(953\) | − | 5.59115i | − | 0.181115i | −0.995891 | − | 0.0905576i | \(-0.971135\pi\) | ||
0.995891 | − | 0.0905576i | \(-0.0288649\pi\) | |||||||
\(954\) | 0.116873 | − | 0.980103i | 0.00378389 | − | 0.0317320i | ||||
\(955\) | 2.89023 | − | 2.89023i | 0.0935255 | − | 0.0935255i | ||||
\(956\) | −13.8092 | + | 57.0792i | −0.446622 | + | 1.84607i | ||||
\(957\) | −18.0625 | − | 18.0625i | −0.583879 | − | 0.583879i | ||||
\(958\) | −0.952079 | − | 1.20988i | −0.0307603 | − | 0.0390896i | ||||
\(959\) | −15.4022 | −0.497362 | ||||||||
\(960\) | 2.47586 | − | 2.86822i | 0.0799080 | − | 0.0925715i | ||||
\(961\) | −30.6890 | −0.989969 | ||||||||
\(962\) | −0.455796 | − | 0.579216i | −0.0146955 | − | 0.0186747i | ||||
\(963\) | 6.06255 | + | 6.06255i | 0.195363 | + | 0.195363i | ||||
\(964\) | −11.2900 | + | 46.6663i | −0.363626 | + | 1.50302i | ||||
\(965\) | −3.83511 | + | 3.83511i | −0.123457 | + | 0.123457i | ||||
\(966\) | 2.15862 | − | 18.1023i | 0.0694524 | − | 0.582433i | ||||
\(967\) | 30.7561i | 0.989048i | 0.869164 | + | 0.494524i | \(0.164658\pi\) | ||||
−0.869164 | + | 0.494524i | \(0.835342\pi\) | |||||||
\(968\) | 1.45721 | + | 3.18288i | 0.0468365 | + | 0.102302i | ||||
\(969\) | − | 13.0831i | − | 0.420290i | ||||||
\(970\) | −2.87138 | − | 0.342398i | −0.0921944 | − | 0.0109937i | ||||
\(971\) | 8.03756 | − | 8.03756i | 0.257938 | − | 0.257938i | −0.566277 | − | 0.824215i | \(-0.691617\pi\) |
0.824215 | + | 0.566277i | \(0.191617\pi\) | |||||||
\(972\) | −1.70711 | + | 1.04201i | −0.0547555 | + | 0.0334225i | ||||
\(973\) | −26.8043 | − | 26.8043i | −0.859307 | − | 0.859307i | ||||
\(974\) | 39.2645 | − | 30.8980i | 1.25812 | − | 0.990035i | ||||
\(975\) | −0.401260 | −0.0128506 | ||||||||
\(976\) | −4.71942 | − | 14.6998i | −0.151065 | − | 0.470529i | ||||
\(977\) | 22.8323 | 0.730471 | 0.365235 | − | 0.930915i | \(-0.380988\pi\) | ||||
0.365235 | + | 0.930915i | \(0.380988\pi\) | |||||||
\(978\) | −11.7956 | + | 9.28216i | −0.377181 | + | 0.296811i | ||||
\(979\) | −36.2468 | − | 36.2468i | −1.15845 | − | 1.15845i | ||||
\(980\) | 6.79687 | + | 11.1352i | 0.217118 | + | 0.355701i | ||||
\(981\) | −5.71627 | + | 5.71627i | −0.182506 | + | 0.182506i | ||||
\(982\) | −25.6006 | − | 3.05275i | −0.816947 | − | 0.0974171i | ||||
\(983\) | − | 46.3557i | − | 1.47852i | −0.673422 | − | 0.739258i | \(-0.735176\pi\) | ||
0.673422 | − | 0.739258i | \(-0.264824\pi\) | |||||||
\(984\) | 9.14343 | − | 24.5854i | 0.291482 | − | 0.783754i | ||||
\(985\) | 5.01686i | 0.159850i | ||||||||
\(986\) | 4.42274 | − | 37.0894i | 0.140849 | − | 1.18117i | ||||
\(987\) | −9.11529 | + | 9.11529i | −0.290143 | + | 0.290143i | ||||
\(988\) | 0.590778 | + | 0.142927i | 0.0187952 | + | 0.00454713i | ||||
\(989\) | −4.55489 | − | 4.55489i | −0.144837 | − | 0.144837i | ||||
\(990\) | 1.44902 | + | 1.84138i | 0.0460528 | + | 0.0585229i | ||||
\(991\) | 3.43683 | 0.109175 | 0.0545873 | − | 0.998509i | \(-0.482616\pi\) | ||||
0.0545873 | + | 0.998509i | \(0.482616\pi\) | |||||||
\(992\) | 0.601874 | + | 3.09658i | 0.0191095 | + | 0.0983165i | ||||
\(993\) | −20.7784 | −0.659383 | ||||||||
\(994\) | 36.3329 | + | 46.1712i | 1.15241 | + | 1.46446i | ||||
\(995\) | 1.23245 | + | 1.23245i | 0.0390712 | + | 0.0390712i | ||||
\(996\) | −29.2552 | − | 7.07773i | −0.926986 | − | 0.224267i | ||||
\(997\) | −21.9430 | + | 21.9430i | −0.694940 | + | 0.694940i | −0.963315 | − | 0.268374i | \(-0.913514\pi\) |
0.268374 | + | 0.963315i | \(0.413514\pi\) | |||||||
\(998\) | −3.40532 | + | 28.5573i | −0.107793 | + | 0.903964i | ||||
\(999\) | − | 6.20285i | − | 0.196249i |
(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 | 48.2.j.a.13.4 | ✓ | 8 | |
3.2 | odd | 2 | 144.2.k.b.109.1 | 8 | |||
4.3 | odd | 2 | 192.2.j.a.145.3 | 8 | |||
8.3 | odd | 2 | 384.2.j.a.289.2 | 8 | |||
8.5 | even | 2 | 384.2.j.b.289.4 | 8 | |||
12.11 | even | 2 | 576.2.k.b.145.3 | 8 | |||
16.3 | odd | 4 | 384.2.j.a.97.2 | 8 | |||
16.5 | even | 4 | inner | 48.2.j.a.37.4 | yes | 8 | |
16.11 | odd | 4 | 192.2.j.a.49.3 | 8 | |||
16.13 | even | 4 | 384.2.j.b.97.4 | 8 | |||
24.5 | odd | 2 | 1152.2.k.c.289.2 | 8 | |||
24.11 | even | 2 | 1152.2.k.f.289.2 | 8 | |||
32.3 | odd | 8 | 3072.2.d.i.1537.6 | 8 | |||
32.5 | even | 8 | 3072.2.a.t.1.2 | 4 | |||
32.11 | odd | 8 | 3072.2.a.o.1.3 | 4 | |||
32.13 | even | 8 | 3072.2.d.f.1537.7 | 8 | |||
32.19 | odd | 8 | 3072.2.d.i.1537.3 | 8 | |||
32.21 | even | 8 | 3072.2.a.i.1.3 | 4 | |||
32.27 | odd | 8 | 3072.2.a.n.1.2 | 4 | |||
32.29 | even | 8 | 3072.2.d.f.1537.2 | 8 | |||
48.5 | odd | 4 | 144.2.k.b.37.1 | 8 | |||
48.11 | even | 4 | 576.2.k.b.433.3 | 8 | |||
48.29 | odd | 4 | 1152.2.k.c.865.2 | 8 | |||
48.35 | even | 4 | 1152.2.k.f.865.2 | 8 | |||
96.5 | odd | 8 | 9216.2.a.y.1.3 | 4 | |||
96.11 | even | 8 | 9216.2.a.bn.1.2 | 4 | |||
96.53 | odd | 8 | 9216.2.a.bo.1.2 | 4 | |||
96.59 | even | 8 | 9216.2.a.x.1.3 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
48.2.j.a.13.4 | ✓ | 8 | 1.1 | even | 1 | trivial | |
48.2.j.a.37.4 | yes | 8 | 16.5 | even | 4 | inner | |
144.2.k.b.37.1 | 8 | 48.5 | odd | 4 | |||
144.2.k.b.109.1 | 8 | 3.2 | odd | 2 | |||
192.2.j.a.49.3 | 8 | 16.11 | odd | 4 | |||
192.2.j.a.145.3 | 8 | 4.3 | odd | 2 | |||
384.2.j.a.97.2 | 8 | 16.3 | odd | 4 | |||
384.2.j.a.289.2 | 8 | 8.3 | odd | 2 | |||
384.2.j.b.97.4 | 8 | 16.13 | even | 4 | |||
384.2.j.b.289.4 | 8 | 8.5 | even | 2 | |||
576.2.k.b.145.3 | 8 | 12.11 | even | 2 | |||
576.2.k.b.433.3 | 8 | 48.11 | even | 4 | |||
1152.2.k.c.289.2 | 8 | 24.5 | odd | 2 | |||
1152.2.k.c.865.2 | 8 | 48.29 | odd | 4 | |||
1152.2.k.f.289.2 | 8 | 24.11 | even | 2 | |||
1152.2.k.f.865.2 | 8 | 48.35 | even | 4 | |||
3072.2.a.i.1.3 | 4 | 32.21 | even | 8 | |||
3072.2.a.n.1.2 | 4 | 32.27 | odd | 8 | |||
3072.2.a.o.1.3 | 4 | 32.11 | odd | 8 | |||
3072.2.a.t.1.2 | 4 | 32.5 | even | 8 | |||
3072.2.d.f.1537.2 | 8 | 32.29 | even | 8 | |||
3072.2.d.f.1537.7 | 8 | 32.13 | even | 8 | |||
3072.2.d.i.1537.3 | 8 | 32.19 | odd | 8 | |||
3072.2.d.i.1537.6 | 8 | 32.3 | odd | 8 | |||
9216.2.a.x.1.3 | 4 | 96.59 | even | 8 | |||
9216.2.a.y.1.3 | 4 | 96.5 | odd | 8 | |||
9216.2.a.bn.1.2 | 4 | 96.11 | even | 8 | |||
9216.2.a.bo.1.2 | 4 | 96.53 | odd | 8 |