Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [48,3,Mod(5,48)]
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, 1, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("48.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 48 = 2^{4} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 48.i (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: | \(1.30790526893\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(10\) over \(\Q(i)\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 2 x^{18} + 6 x^{16} - 24 x^{14} - 24 x^{12} + 1216 x^{10} - 384 x^{8} - 6144 x^{6} + \cdots + 1048576 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{13} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 29.6 | ||
Root | \(0.312316 + 1.97546i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 48.29 |
Dual form | 48.3.i.b.5.6 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.312316 | − | 1.97546i | 0.156158 | − | 0.987732i | ||||
\(3\) | 2.75602 | − | 1.18505i | 0.918675 | − | 0.395015i | ||||
\(4\) | −3.80492 | − | 1.23394i | −0.951229 | − | 0.308485i | ||||
\(5\) | 0.00985921 | + | 0.00985921i | 0.00197184 | + | 0.00197184i | 0.708092 | − | 0.706120i | \(-0.249556\pi\) |
−0.706120 | + | 0.708092i | \(0.749556\pi\) | |||||||
\(6\) | −1.48026 | − | 5.81454i | −0.246711 | − | 0.969089i | ||||
\(7\) | 6.42277i | 0.917538i | 0.888556 | + | 0.458769i | \(0.151709\pi\) | ||||
−0.888556 | + | 0.458769i | \(0.848291\pi\) | |||||||
\(8\) | −3.62594 | + | 7.13110i | −0.453242 | + | 0.891387i | ||||
\(9\) | 6.19134 | − | 6.53203i | 0.687926 | − | 0.725781i | ||||
\(10\) | 0.0225557 | − | 0.0163973i | 0.00225557 | − | 0.00163973i | ||||
\(11\) | −9.07186 | − | 9.07186i | −0.824715 | − | 0.824715i | 0.162065 | − | 0.986780i | \(-0.448185\pi\) |
−0.986780 | + | 0.162065i | \(0.948185\pi\) | |||||||
\(12\) | −11.9487 | + | 1.10823i | −0.995726 | + | 0.0923529i | ||||
\(13\) | 12.6098 | + | 12.6098i | 0.969987 | + | 0.969987i | 0.999563 | − | 0.0295753i | \(-0.00941548\pi\) |
−0.0295753 | + | 0.999563i | \(0.509415\pi\) | |||||||
\(14\) | 12.6879 | + | 2.00593i | 0.906282 | + | 0.143281i | ||||
\(15\) | 0.0388558 | + | 0.0154886i | 0.00259039 | + | 0.00103257i | ||||
\(16\) | 12.9548 | + | 9.39007i | 0.809674 | + | 0.586879i | ||||
\(17\) | 19.0155i | 1.11856i | 0.828978 | + | 0.559281i | \(0.188923\pi\) | ||||
−0.828978 | + | 0.559281i | \(0.811077\pi\) | |||||||
\(18\) | −10.9701 | − | 14.2708i | −0.609452 | − | 0.792823i | ||||
\(19\) | −2.07165 | − | 2.07165i | −0.109034 | − | 0.109034i | 0.650485 | − | 0.759519i | \(-0.274566\pi\) |
−0.759519 | + | 0.650485i | \(0.774566\pi\) | |||||||
\(20\) | −0.0253478 | − | 0.0496792i | −0.00126739 | − | 0.00248396i | ||||
\(21\) | 7.61127 | + | 17.7013i | 0.362441 | + | 0.842919i | ||||
\(22\) | −20.7544 | + | 15.0879i | −0.943383 | + | 0.685812i | ||||
\(23\) | −19.5712 | −0.850923 | −0.425461 | − | 0.904977i | \(-0.639888\pi\) | ||||
−0.425461 | + | 0.904977i | \(0.639888\pi\) | |||||||
\(24\) | −1.54250 | + | 23.9504i | −0.0642708 | + | 0.997932i | ||||
\(25\) | − | 24.9998i | − | 0.999992i | ||||||
\(26\) | 28.8485 | − | 20.9720i | 1.10956 | − | 0.806616i | ||||
\(27\) | 9.32272 | − | 25.3394i | 0.345286 | − | 0.938497i | ||||
\(28\) | 7.92530 | − | 24.4381i | 0.283046 | − | 0.872789i | ||||
\(29\) | 11.1742 | − | 11.1742i | 0.385319 | − | 0.385319i | −0.487695 | − | 0.873014i | \(-0.662162\pi\) |
0.873014 | + | 0.487695i | \(0.162162\pi\) | |||||||
\(30\) | 0.0427325 | − | 0.0719210i | 0.00142442 | − | 0.00239737i | ||||
\(31\) | −59.9385 | −1.93350 | −0.966750 | − | 0.255725i | \(-0.917686\pi\) | ||||
−0.966750 | + | 0.255725i | \(0.917686\pi\) | |||||||
\(32\) | 22.5957 | − | 22.6591i | 0.706117 | − | 0.708096i | ||||
\(33\) | −35.7528 | − | 14.2517i | −1.08342 | − | 0.431870i | ||||
\(34\) | 37.5645 | + | 5.93886i | 1.10484 | + | 0.174672i | ||||
\(35\) | −0.0633234 | + | 0.0633234i | −0.00180924 | + | 0.00180924i | ||||
\(36\) | −31.6176 | + | 17.2141i | −0.878268 | + | 0.478169i | ||||
\(37\) | 9.32707 | − | 9.32707i | 0.252083 | − | 0.252083i | −0.569741 | − | 0.821824i | \(-0.692957\pi\) |
0.821824 | + | 0.569741i | \(0.192957\pi\) | |||||||
\(38\) | −4.73948 | + | 3.44546i | −0.124723 | + | 0.0906700i | ||||
\(39\) | 49.6962 | + | 19.8098i | 1.27426 | + | 0.507943i | ||||
\(40\) | −0.106056 | + | 0.0345581i | −0.00265140 | + | 0.000863953i | ||||
\(41\) | −47.2639 | −1.15278 | −0.576389 | − | 0.817176i | \(-0.695539\pi\) | ||||
−0.576389 | + | 0.817176i | \(0.695539\pi\) | |||||||
\(42\) | 37.3454 | − | 9.50739i | 0.889176 | − | 0.226366i | ||||
\(43\) | 24.1220 | − | 24.1220i | 0.560978 | − | 0.560978i | −0.368607 | − | 0.929585i | \(-0.620165\pi\) |
0.929585 | + | 0.368607i | \(0.120165\pi\) | |||||||
\(44\) | 23.3236 | + | 45.7118i | 0.530081 | + | 1.03890i | ||||
\(45\) | 0.125442 | − | 0.00335893i | 0.00278761 | − | 7.46430e-5i | ||||
\(46\) | −6.11241 | + | 38.6623i | −0.132878 | + | 0.840484i | ||||
\(47\) | 6.29702i | 0.133979i | 0.997754 | + | 0.0669896i | \(0.0213394\pi\) | ||||
−0.997754 | + | 0.0669896i | \(0.978661\pi\) | |||||||
\(48\) | 46.8314 | + | 10.5272i | 0.975654 | + | 0.219317i | ||||
\(49\) | 7.74808 | 0.158124 | ||||||||
\(50\) | −49.3862 | − | 7.80784i | −0.987724 | − | 0.156157i | ||||
\(51\) | 22.5343 | + | 52.4073i | 0.441849 | + | 1.02759i | ||||
\(52\) | −32.4196 | − | 63.5391i | −0.623454 | − | 1.22191i | ||||
\(53\) | −20.6409 | − | 20.6409i | −0.389450 | − | 0.389450i | 0.485041 | − | 0.874491i | \(-0.338805\pi\) |
−0.874491 | + | 0.485041i | \(0.838805\pi\) | |||||||
\(54\) | −47.1455 | − | 26.3306i | −0.873065 | − | 0.487604i | ||||
\(55\) | − | 0.178883i | − | 0.00325242i | ||||||
\(56\) | −45.8014 | − | 23.2886i | −0.817882 | − | 0.415867i | ||||
\(57\) | −8.16452 | − | 3.25452i | −0.143237 | − | 0.0570968i | ||||
\(58\) | −18.5844 | − | 25.5642i | −0.320421 | − | 0.440762i | ||||
\(59\) | 60.3533 | + | 60.3533i | 1.02294 | + | 1.02294i | 0.999731 | + | 0.0232062i | \(0.00738742\pi\) |
0.0232062 | + | 0.999731i | \(0.492613\pi\) | |||||||
\(60\) | −0.128731 | − | 0.106879i | −0.00214552 | − | 0.00178131i | ||||
\(61\) | 48.0230 | + | 48.0230i | 0.787262 | + | 0.787262i | 0.981045 | − | 0.193782i | \(-0.0620755\pi\) |
−0.193782 | + | 0.981045i | \(0.562076\pi\) | |||||||
\(62\) | −18.7198 | + | 118.406i | −0.301931 | + | 1.90978i | ||||
\(63\) | 41.9537 | + | 39.7655i | 0.665931 | + | 0.631198i | ||||
\(64\) | −37.7051 | − | 51.7138i | −0.589143 | − | 0.808029i | ||||
\(65\) | 0.248646i | 0.00382532i | ||||||||
\(66\) | −39.3199 | + | 66.1774i | −0.595756 | + | 1.00269i | ||||
\(67\) | −23.7768 | − | 23.7768i | −0.354878 | − | 0.354878i | 0.507043 | − | 0.861921i | \(-0.330738\pi\) |
−0.861921 | + | 0.507043i | \(0.830738\pi\) | |||||||
\(68\) | 23.4640 | − | 72.3526i | 0.345059 | − | 1.06401i | ||||
\(69\) | −53.9388 | + | 23.1928i | −0.781721 | + | 0.336127i | ||||
\(70\) | 0.105316 | + | 0.144870i | 0.00150452 | + | 0.00206957i | ||||
\(71\) | −13.5743 | −0.191188 | −0.0955938 | − | 0.995420i | \(-0.530475\pi\) | ||||
−0.0955938 | + | 0.995420i | \(0.530475\pi\) | |||||||
\(72\) | 24.1311 | + | 67.8358i | 0.335154 | + | 0.942163i | ||||
\(73\) | 31.4516i | 0.430844i | 0.976521 | + | 0.215422i | \(0.0691127\pi\) | ||||
−0.976521 | + | 0.215422i | \(0.930887\pi\) | |||||||
\(74\) | −15.5123 | − | 21.3383i | −0.209626 | − | 0.288355i | ||||
\(75\) | −29.6259 | − | 68.9001i | −0.395012 | − | 0.918668i | ||||
\(76\) | 5.32617 | + | 10.4387i | 0.0700812 | + | 0.137352i | ||||
\(77\) | 58.2665 | − | 58.2665i | 0.756707 | − | 0.756707i | ||||
\(78\) | 54.6544 | − | 91.9862i | 0.700698 | − | 1.17931i | ||||
\(79\) | 47.4718 | 0.600909 | 0.300455 | − | 0.953796i | \(-0.402862\pi\) | ||||
0.300455 | + | 0.953796i | \(0.402862\pi\) | |||||||
\(80\) | 0.0351454 | + | 0.220303i | 0.000439317 | + | 0.00275378i | ||||
\(81\) | −4.33472 | − | 80.8839i | −0.0535151 | − | 0.998567i | ||||
\(82\) | −14.7613 | + | 93.3681i | −0.180016 | + | 1.13864i | ||||
\(83\) | 70.3318 | − | 70.3318i | 0.847372 | − | 0.847372i | −0.142433 | − | 0.989804i | \(-0.545493\pi\) |
0.989804 | + | 0.142433i | \(0.0454925\pi\) | |||||||
\(84\) | −7.11793 | − | 76.7438i | −0.0847373 | − | 0.913617i | ||||
\(85\) | −0.187478 | + | 0.187478i | −0.00220563 | + | 0.00220563i | ||||
\(86\) | −40.1185 | − | 55.1859i | −0.466494 | − | 0.641697i | ||||
\(87\) | 17.5545 | − | 44.0385i | 0.201776 | − | 0.506189i | ||||
\(88\) | 97.5864 | − | 31.7983i | 1.10894 | − | 0.361345i | ||||
\(89\) | 95.1729 | 1.06936 | 0.534679 | − | 0.845055i | \(-0.320432\pi\) | ||||
0.534679 | + | 0.845055i | \(0.320432\pi\) | |||||||
\(90\) | 0.0325422 | − | 0.248856i | 0.000361580 | − | 0.00276507i | ||||
\(91\) | −80.9900 | + | 80.9900i | −0.890000 | + | 0.890000i | ||||
\(92\) | 74.4669 | + | 24.1497i | 0.809423 | + | 0.262497i | ||||
\(93\) | −165.192 | + | 71.0298i | −1.77626 | + | 0.763761i | ||||
\(94\) | 12.4395 | + | 1.96666i | 0.132335 | + | 0.0209219i | ||||
\(95\) | − | 0.0408497i | − | 0.000429997i | ||||||
\(96\) | 35.4224 | − | 89.2259i | 0.368983 | − | 0.929436i | ||||
\(97\) | 61.6218 | 0.635276 | 0.317638 | − | 0.948212i | \(-0.397110\pi\) | ||||
0.317638 | + | 0.948212i | \(0.397110\pi\) | |||||||
\(98\) | 2.41985 | − | 15.3061i | 0.0246924 | − | 0.156184i | ||||
\(99\) | −115.425 | + | 3.09069i | −1.16591 | + | 0.0312191i | ||||
\(100\) | −30.8482 | + | 95.1222i | −0.308482 | + | 0.951222i | ||||
\(101\) | −48.1867 | − | 48.1867i | −0.477096 | − | 0.477096i | 0.427106 | − | 0.904202i | \(-0.359533\pi\) |
−0.904202 | + | 0.427106i | \(0.859533\pi\) | |||||||
\(102\) | 110.567 | − | 28.1480i | 1.08399 | − | 0.275961i | ||||
\(103\) | − | 4.73669i | − | 0.0459873i | −0.999736 | − | 0.0229936i | \(-0.992680\pi\) | ||
0.999736 | − | 0.0229936i | \(-0.00731975\pi\) | |||||||
\(104\) | −135.644 | + | 44.1995i | −1.30427 | + | 0.424995i | ||||
\(105\) | −0.0994797 | + | 0.249562i | −0.000947426 | + | 0.00237678i | ||||
\(106\) | −47.2217 | + | 34.3288i | −0.445488 | + | 0.323857i | ||||
\(107\) | 40.9462 | + | 40.9462i | 0.382674 | + | 0.382674i | 0.872065 | − | 0.489390i | \(-0.162781\pi\) |
−0.489390 | + | 0.872065i | \(0.662781\pi\) | |||||||
\(108\) | −66.7395 | + | 84.9108i | −0.617958 | + | 0.786211i | ||||
\(109\) | −120.437 | − | 120.437i | −1.10493 | − | 1.10493i | −0.993807 | − | 0.111123i | \(-0.964555\pi\) |
−0.111123 | − | 0.993807i | \(-0.535445\pi\) | |||||||
\(110\) | −0.353377 | − | 0.0558680i | −0.00321252 | − | 0.000507891i | ||||
\(111\) | 14.6526 | − | 36.7586i | 0.132006 | − | 0.331159i | ||||
\(112\) | −60.3102 | + | 83.2056i | −0.538484 | + | 0.742907i | ||||
\(113\) | 205.193i | 1.81587i | 0.419110 | + | 0.907936i | \(0.362342\pi\) | ||||
−0.419110 | + | 0.907936i | \(0.637658\pi\) | |||||||
\(114\) | −8.97910 | + | 15.1123i | −0.0787640 | + | 0.132564i | ||||
\(115\) | −0.192957 | − | 0.192957i | −0.00167789 | − | 0.00167789i | ||||
\(116\) | −56.3054 | + | 28.7287i | −0.485391 | + | 0.247662i | ||||
\(117\) | 160.439 | − | 4.29604i | 1.37128 | − | 0.0367183i | ||||
\(118\) | 138.075 | − | 100.376i | 1.17013 | − | 0.850648i | ||||
\(119\) | −122.132 | −1.02632 | ||||||||
\(120\) | −0.251340 | + | 0.220924i | −0.00209450 | + | 0.00184103i | ||||
\(121\) | 43.5974i | 0.360309i | ||||||||
\(122\) | 109.866 | − | 79.8694i | 0.900542 | − | 0.654667i | ||||
\(123\) | −130.260 | + | 56.0098i | −1.05903 | + | 0.455365i | ||||
\(124\) | 228.061 | + | 73.9604i | 1.83920 | + | 0.596455i | ||||
\(125\) | 0.492959 | − | 0.492959i | 0.00394367 | − | 0.00394367i | ||||
\(126\) | 91.6581 | − | 70.4586i | 0.727445 | − | 0.559195i | ||||
\(127\) | 54.1458 | 0.426345 | 0.213173 | − | 0.977015i | \(-0.431620\pi\) | ||||
0.213173 | + | 0.977015i | \(0.431620\pi\) | |||||||
\(128\) | −113.935 | + | 58.3341i | −0.890115 | + | 0.455735i | ||||
\(129\) | 37.8952 | − | 95.0666i | 0.293761 | − | 0.736951i | ||||
\(130\) | 0.491191 | + | 0.0776562i | 0.00377840 | + | 0.000597355i | ||||
\(131\) | −31.2584 | + | 31.2584i | −0.238614 | + | 0.238614i | −0.816276 | − | 0.577662i | \(-0.803965\pi\) |
0.577662 | + | 0.816276i | \(0.303965\pi\) | |||||||
\(132\) | 118.451 | + | 98.3434i | 0.897355 | + | 0.745026i | ||||
\(133\) | 13.3057 | − | 13.3057i | 0.100043 | − | 0.100043i | ||||
\(134\) | −54.3961 | + | 39.5443i | −0.405941 | + | 0.295107i | ||||
\(135\) | 0.341742 | − | 0.157912i | 0.00253142 | − | 0.00116972i | ||||
\(136\) | −135.602 | − | 68.9492i | −0.997072 | − | 0.506979i | ||||
\(137\) | −42.9176 | −0.313267 | −0.156633 | − | 0.987657i | \(-0.550064\pi\) | ||||
−0.156633 | + | 0.987657i | \(0.550064\pi\) | |||||||
\(138\) | 28.9706 | + | 113.798i | 0.209932 | + | 0.824620i | ||||
\(139\) | −47.0945 | + | 47.0945i | −0.338809 | + | 0.338809i | −0.855919 | − | 0.517110i | \(-0.827008\pi\) |
0.517110 | + | 0.855919i | \(0.327008\pi\) | |||||||
\(140\) | 0.319078 | − | 0.162803i | 0.00227913 | − | 0.00116288i | ||||
\(141\) | 7.46225 | + | 17.3547i | 0.0529238 | + | 0.123083i | ||||
\(142\) | −4.23948 | + | 26.8156i | −0.0298555 | + | 0.188842i | ||||
\(143\) | − | 228.789i | − | 1.59993i | ||||||
\(144\) | 141.544 | − | 26.4840i | 0.982942 | − | 0.183916i | ||||
\(145\) | 0.220339 | 0.00151958 | ||||||||
\(146\) | 62.1316 | + | 9.82285i | 0.425559 | + | 0.0672798i | ||||
\(147\) | 21.3539 | − | 9.18183i | 0.145265 | − | 0.0624614i | ||||
\(148\) | −46.9978 | + | 23.9797i | −0.317552 | + | 0.162025i | ||||
\(149\) | 131.532 | + | 131.532i | 0.882766 | + | 0.882766i | 0.993815 | − | 0.111049i | \(-0.0354210\pi\) |
−0.111049 | + | 0.993815i | \(0.535421\pi\) | |||||||
\(150\) | −145.362 | + | 37.0063i | −0.969082 | + | 0.246709i | ||||
\(151\) | − | 145.908i | − | 0.966281i | −0.875543 | − | 0.483140i | \(-0.839496\pi\) | ||
0.875543 | − | 0.483140i | \(-0.160504\pi\) | |||||||
\(152\) | 22.2848 | − | 7.26147i | 0.146611 | − | 0.0477728i | ||||
\(153\) | 124.210 | + | 117.732i | 0.811830 | + | 0.769488i | ||||
\(154\) | −96.9057 | − | 133.301i | −0.629258 | − | 0.865590i | ||||
\(155\) | −0.590946 | − | 0.590946i | −0.00381256 | − | 0.00381256i | ||||
\(156\) | −164.646 | − | 136.697i | −1.05542 | − | 0.876261i | ||||
\(157\) | −55.2586 | − | 55.2586i | −0.351966 | − | 0.351966i | 0.508875 | − | 0.860840i | \(-0.330062\pi\) |
−0.860840 | + | 0.508875i | \(0.830062\pi\) | |||||||
\(158\) | 14.8262 | − | 93.7789i | 0.0938368 | − | 0.593537i | ||||
\(159\) | −81.3470 | − | 32.4263i | −0.511617 | − | 0.203939i | ||||
\(160\) | 0.446177 | 0.000624319i | 0.00278860 | 3.90199e-6i | ||||||
\(161\) | − | 125.701i | − | 0.780754i | ||||||
\(162\) | −161.137 | − | 16.6983i | −0.994674 | − | 0.103076i | ||||
\(163\) | 70.6156 | + | 70.6156i | 0.433225 | + | 0.433225i | 0.889724 | − | 0.456499i | \(-0.150897\pi\) |
−0.456499 | + | 0.889724i | \(0.650897\pi\) | |||||||
\(164\) | 179.835 | + | 58.3207i | 1.09656 | + | 0.355614i | ||||
\(165\) | −0.211984 | − | 0.493006i | −0.00128475 | − | 0.00298791i | ||||
\(166\) | −116.972 | − | 160.904i | −0.704652 | − | 0.969300i | ||||
\(167\) | −86.2013 | −0.516176 | −0.258088 | − | 0.966121i | \(-0.583092\pi\) | ||||
−0.258088 | + | 0.966121i | \(0.583092\pi\) | |||||||
\(168\) | −153.828 | − | 9.90711i | −0.915641 | − | 0.0589709i | ||||
\(169\) | 149.016i | 0.881751i | ||||||||
\(170\) | 0.311804 | + | 0.428909i | 0.00183414 | + | 0.00252300i | ||||
\(171\) | −26.3584 | + | 0.705790i | −0.154142 | + | 0.00412743i | ||||
\(172\) | −121.547 | + | 62.0173i | −0.706671 | + | 0.360565i | ||||
\(173\) | 58.2425 | − | 58.2425i | 0.336662 | − | 0.336662i | −0.518448 | − | 0.855109i | \(-0.673490\pi\) |
0.855109 | + | 0.518448i | \(0.173490\pi\) | |||||||
\(174\) | −81.5139 | − | 48.4322i | −0.468470 | − | 0.278346i | ||||
\(175\) | 160.568 | 0.917531 | ||||||||
\(176\) | −32.3387 | − | 202.710i | −0.183743 | − | 1.15176i | ||||
\(177\) | 237.856 | + | 94.8137i | 1.34382 | + | 0.535671i | ||||
\(178\) | 29.7240 | − | 188.011i | 0.166989 | − | 1.05624i | ||||
\(179\) | −18.9272 | + | 18.9272i | −0.105738 | + | 0.105738i | −0.757997 | − | 0.652258i | \(-0.773822\pi\) |
0.652258 | + | 0.757997i | \(0.273822\pi\) | |||||||
\(180\) | −0.481442 | − | 0.142008i | −0.00267468 | − | 0.000788931i | ||||
\(181\) | 24.5109 | − | 24.5109i | 0.135420 | − | 0.135420i | −0.636148 | − | 0.771567i | \(-0.719473\pi\) |
0.771567 | + | 0.636148i | \(0.219473\pi\) | |||||||
\(182\) | 134.698 | + | 185.287i | 0.740101 | + | 1.01806i | ||||
\(183\) | 189.262 | + | 75.4431i | 1.03422 | + | 0.412257i | ||||
\(184\) | 70.9641 | − | 139.564i | 0.385674 | − | 0.758502i | ||||
\(185\) | 0.183915 | 0.000994136 | ||||||||
\(186\) | 88.7247 | + | 348.514i | 0.477015 | + | 1.87373i | ||||
\(187\) | 172.506 | − | 172.506i | 0.922494 | − | 0.922494i | ||||
\(188\) | 7.77013 | − | 23.9596i | 0.0413305 | − | 0.127445i | ||||
\(189\) | 162.749 | + | 59.8777i | 0.861107 | + | 0.316813i | ||||
\(190\) | −0.0806971 | − | 0.0127580i | −0.000424722 | − | 6.71475e-5i | ||||
\(191\) | 156.422i | 0.818962i | 0.912319 | + | 0.409481i | \(0.134290\pi\) | ||||
−0.912319 | + | 0.409481i | \(0.865710\pi\) | |||||||
\(192\) | −165.200 | − | 97.8423i | −0.860414 | − | 0.509595i | ||||
\(193\) | −217.972 | −1.12939 | −0.564695 | − | 0.825299i | \(-0.691006\pi\) | ||||
−0.564695 | + | 0.825299i | \(0.691006\pi\) | |||||||
\(194\) | 19.2455 | − | 121.732i | 0.0992034 | − | 0.627482i | ||||
\(195\) | 0.294657 | + | 0.685275i | 0.00151106 | + | 0.00351423i | ||||
\(196\) | −29.4808 | − | 9.56066i | −0.150412 | − | 0.0487789i | ||||
\(197\) | −245.945 | − | 245.945i | −1.24845 | − | 1.24845i | −0.956403 | − | 0.292050i | \(-0.905663\pi\) |
−0.292050 | − | 0.956403i | \(-0.594337\pi\) | |||||||
\(198\) | −29.9434 | + | 228.982i | −0.151229 | + | 1.15648i | ||||
\(199\) | 233.190i | 1.17181i | 0.810379 | + | 0.585905i | \(0.199261\pi\) | ||||
−0.810379 | + | 0.585905i | \(0.800739\pi\) | |||||||
\(200\) | 178.276 | + | 90.6478i | 0.891380 | + | 0.453239i | ||||
\(201\) | −93.7060 | − | 37.3528i | −0.466199 | − | 0.185835i | ||||
\(202\) | −110.240 | + | 80.1415i | −0.545745 | + | 0.396740i | ||||
\(203\) | 71.7695 | + | 71.7695i | 0.353545 | + | 0.353545i | ||||
\(204\) | −21.0737 | − | 227.211i | −0.103302 | − | 1.11378i | ||||
\(205\) | −0.465985 | − | 0.465985i | −0.00227310 | − | 0.00227310i | ||||
\(206\) | −9.35716 | − | 1.47934i | −0.0454231 | − | 0.00718128i | ||||
\(207\) | −121.172 | + | 127.840i | −0.585372 | + | 0.617583i | ||||
\(208\) | 44.9506 | + | 281.765i | 0.216109 | + | 1.35464i | ||||
\(209\) | 37.5875i | 0.179844i | ||||||||
\(210\) | 0.461932 | + | 0.274461i | 0.00219967 | + | 0.00130696i | ||||
\(211\) | −8.49504 | − | 8.49504i | −0.0402609 | − | 0.0402609i | 0.686690 | − | 0.726951i | \(-0.259063\pi\) |
−0.726951 | + | 0.686690i | \(0.759063\pi\) | |||||||
\(212\) | 53.0672 | + | 104.006i | 0.250317 | + | 0.490596i | ||||
\(213\) | −37.4111 | + | 16.0862i | −0.175639 | + | 0.0755220i | ||||
\(214\) | 93.6758 | − | 68.0995i | 0.437737 | − | 0.318222i | ||||
\(215\) | 0.475649 | 0.00221232 | ||||||||
\(216\) | 146.894 | + | 158.360i | 0.680067 | + | 0.733150i | ||||
\(217\) | − | 384.971i | − | 1.77406i | ||||||
\(218\) | −275.534 | + | 200.305i | −1.26392 | + | 0.918831i | ||||
\(219\) | 37.2716 | + | 86.6814i | 0.170190 | + | 0.395806i | ||||
\(220\) | −0.220730 | + | 0.680635i | −0.00100332 | + | 0.00309379i | ||||
\(221\) | −239.783 | + | 239.783i | −1.08499 | + | 1.08499i | ||||
\(222\) | −68.0391 | − | 40.4260i | −0.306482 | − | 0.182099i | ||||
\(223\) | −10.9290 | −0.0490090 | −0.0245045 | − | 0.999700i | \(-0.507801\pi\) | ||||
−0.0245045 | + | 0.999700i | \(0.507801\pi\) | |||||||
\(224\) | 145.534 | + | 145.127i | 0.649705 | + | 0.647889i | ||||
\(225\) | −163.299 | − | 154.782i | −0.725775 | − | 0.687921i | ||||
\(226\) | 405.352 | + | 64.0852i | 1.79359 | + | 0.283563i | ||||
\(227\) | 99.9027 | − | 99.9027i | 0.440100 | − | 0.440100i | −0.451946 | − | 0.892045i | \(-0.649270\pi\) |
0.892045 | + | 0.451946i | \(0.149270\pi\) | |||||||
\(228\) | 27.0494 | + | 22.4577i | 0.118638 | + | 0.0984986i | ||||
\(229\) | −231.857 | + | 231.857i | −1.01248 | + | 1.01248i | −0.0125555 | + | 0.999921i | \(0.503997\pi\) |
−0.999921 | + | 0.0125555i | \(0.996003\pi\) | |||||||
\(230\) | −0.441443 | + | 0.320916i | −0.00191932 | + | 0.00139529i | ||||
\(231\) | 91.5354 | − | 229.632i | 0.396257 | − | 0.994079i | ||||
\(232\) | 39.1675 | + | 120.202i | 0.168826 | + | 0.518111i | ||||
\(233\) | −316.641 | −1.35897 | −0.679486 | − | 0.733688i | \(-0.737797\pi\) | ||||
−0.679486 | + | 0.733688i | \(0.737797\pi\) | |||||||
\(234\) | 41.6212 | − | 318.284i | 0.177868 | − | 1.36019i | ||||
\(235\) | −0.0620836 | + | 0.0620836i | −0.000264186 | + | 0.000264186i | ||||
\(236\) | −155.167 | − | 304.111i | −0.657487 | − | 1.28861i | ||||
\(237\) | 130.833 | − | 56.2562i | 0.552040 | − | 0.237368i | ||||
\(238\) | −38.1439 | + | 241.268i | −0.160269 | + | 1.01373i | ||||
\(239\) | 382.691i | 1.60122i | 0.599187 | + | 0.800609i | \(0.295491\pi\) | ||||
−0.599187 | + | 0.800609i | \(0.704509\pi\) | |||||||
\(240\) | 0.357930 | + | 0.565511i | 0.00149138 | + | 0.00235629i | ||||
\(241\) | −91.3157 | −0.378903 | −0.189452 | − | 0.981890i | \(-0.560671\pi\) | ||||
−0.189452 | + | 0.981890i | \(0.560671\pi\) | |||||||
\(242\) | 86.1252 | + | 13.6162i | 0.355889 | + | 0.0562652i | ||||
\(243\) | −107.798 | − | 217.781i | −0.443612 | − | 0.896219i | ||||
\(244\) | −123.466 | − | 241.981i | −0.506009 | − | 0.991725i | ||||
\(245\) | 0.0763900 | + | 0.0763900i | 0.000311796 | + | 0.000311796i | ||||
\(246\) | 69.9630 | + | 274.818i | 0.284402 | + | 1.11714i | ||||
\(247\) | − | 52.2463i | − | 0.211524i | ||||||
\(248\) | 217.333 | − | 427.427i | 0.876344 | − | 1.72350i | ||||
\(249\) | 110.490 | − | 277.183i | 0.443734 | − | 1.11318i | ||||
\(250\) | −0.819863 | − | 1.12778i | −0.00327945 | − | 0.00451113i | ||||
\(251\) | −128.768 | − | 128.768i | −0.513021 | − | 0.513021i | 0.402430 | − | 0.915451i | \(-0.368166\pi\) |
−0.915451 | + | 0.402430i | \(0.868166\pi\) | |||||||
\(252\) | −110.562 | − | 203.073i | −0.438738 | − | 0.805844i | ||||
\(253\) | 177.547 | + | 177.547i | 0.701769 | + | 0.701769i | ||||
\(254\) | 16.9106 | − | 106.963i | 0.0665772 | − | 0.421115i | ||||
\(255\) | −0.294524 | + | 0.738865i | −0.00115500 | + | 0.00289751i | ||||
\(256\) | 79.6532 | + | 243.293i | 0.311145 | + | 0.950362i | ||||
\(257\) | − | 123.915i | − | 0.482159i | −0.970505 | − | 0.241079i | \(-0.922499\pi\) | ||
0.970505 | − | 0.241079i | \(-0.0775014\pi\) | |||||||
\(258\) | −175.965 | − | 104.551i | −0.682037 | − | 0.405238i | ||||
\(259\) | 59.9056 | + | 59.9056i | 0.231296 | + | 0.231296i | ||||
\(260\) | 0.306814 | − | 0.946078i | 0.00118005 | − | 0.00363876i | ||||
\(261\) | −3.80695 | − | 142.174i | −0.0145860 | − | 0.544728i | ||||
\(262\) | 51.9874 | + | 71.5124i | 0.198425 | + | 0.272948i | ||||
\(263\) | 194.379 | 0.739085 | 0.369542 | − | 0.929214i | \(-0.379514\pi\) | ||||
0.369542 | + | 0.929214i | \(0.379514\pi\) | |||||||
\(264\) | 231.268 | − | 203.281i | 0.876015 | − | 0.770005i | ||||
\(265\) | − | 0.407005i | − | 0.00153587i | ||||||
\(266\) | −22.1294 | − | 30.4406i | −0.0831932 | − | 0.114438i | ||||
\(267\) | 262.299 | − | 112.784i | 0.982393 | − | 0.422413i | ||||
\(268\) | 61.1296 | + | 119.808i | 0.228096 | + | 0.447044i | ||||
\(269\) | 296.636 | − | 296.636i | 1.10274 | − | 1.10274i | 0.108658 | − | 0.994079i | \(-0.465345\pi\) |
0.994079 | − | 0.108658i | \(-0.0346555\pi\) | |||||||
\(270\) | −0.205218 | − | 0.724417i | −0.000760068 | − | 0.00268303i | ||||
\(271\) | −278.227 | −1.02667 | −0.513334 | − | 0.858189i | \(-0.671590\pi\) | ||||
−0.513334 | + | 0.858189i | \(0.671590\pi\) | |||||||
\(272\) | −178.557 | + | 246.342i | −0.656461 | + | 0.905671i | ||||
\(273\) | −127.234 | + | 319.187i | −0.466057 | + | 1.16918i | ||||
\(274\) | −13.4038 | + | 84.7821i | −0.0489191 | + | 0.309424i | ||||
\(275\) | −226.795 | + | 226.795i | −0.824709 | + | 0.824709i | ||||
\(276\) | 233.851 | − | 21.6895i | 0.847286 | − | 0.0785852i | ||||
\(277\) | −60.1513 | + | 60.1513i | −0.217153 | + | 0.217153i | −0.807297 | − | 0.590145i | \(-0.799071\pi\) |
0.590145 | + | 0.807297i | \(0.299071\pi\) | |||||||
\(278\) | 78.3251 | + | 107.742i | 0.281745 | + | 0.387561i | ||||
\(279\) | −371.099 | + | 391.520i | −1.33010 | + | 1.40330i | ||||
\(280\) | −0.221959 | − | 0.681172i | −0.000792710 | − | 0.00243276i | ||||
\(281\) | 313.645 | 1.11617 | 0.558087 | − | 0.829782i | \(-0.311535\pi\) | ||||
0.558087 | + | 0.829782i | \(0.311535\pi\) | |||||||
\(282\) | 36.6142 | − | 9.32125i | 0.129838 | − | 0.0330541i | ||||
\(283\) | 286.980 | − | 286.980i | 1.01406 | − | 1.01406i | 0.0141627 | − | 0.999900i | \(-0.495492\pi\) |
0.999900 | − | 0.0141627i | \(-0.00450829\pi\) | |||||||
\(284\) | 51.6491 | + | 16.7499i | 0.181863 | + | 0.0589784i | ||||
\(285\) | −0.0484087 | − | 0.112583i | −0.000169855 | − | 0.000395027i | ||||
\(286\) | −451.965 | − | 71.4546i | −1.58030 | − | 0.249841i | ||||
\(287\) | − | 303.565i | − | 1.05772i | ||||||
\(288\) | −8.11177 | − | 287.886i | −0.0281659 | − | 0.999603i | ||||
\(289\) | −72.5910 | −0.251180 | ||||||||
\(290\) | 0.0688153 | − | 0.435271i | 0.000237294 | − | 0.00150093i | ||||
\(291\) | 169.831 | − | 73.0246i | 0.583612 | − | 0.250944i | ||||
\(292\) | 38.8094 | − | 119.671i | 0.132909 | − | 0.409832i | ||||
\(293\) | 176.501 | + | 176.501i | 0.602394 | + | 0.602394i | 0.940947 | − | 0.338553i | \(-0.109938\pi\) |
−0.338553 | + | 0.940947i | \(0.609938\pi\) | |||||||
\(294\) | −11.4692 | − | 45.0515i | −0.0390109 | − | 0.153236i | ||||
\(295\) | 1.19007i | 0.00403414i | ||||||||
\(296\) | 32.6929 | + | 100.332i | 0.110449 | + | 0.338958i | ||||
\(297\) | −314.450 | + | 145.301i | −1.05876 | + | 0.489230i | ||||
\(298\) | 300.917 | − | 218.757i | 1.00979 | − | 0.734085i | ||||
\(299\) | −246.790 | − | 246.790i | −0.825384 | − | 0.825384i | ||||
\(300\) | 27.7057 | + | 298.716i | 0.0923522 | + | 0.995719i | ||||
\(301\) | 154.930 | + | 154.930i | 0.514718 | + | 0.514718i | ||||
\(302\) | −288.237 | − | 45.5695i | −0.954427 | − | 0.150893i | ||||
\(303\) | −189.907 | − | 75.7002i | −0.626756 | − | 0.249836i | ||||
\(304\) | −7.38486 | − | 46.2907i | −0.0242923 | − | 0.152272i | ||||
\(305\) | 0.946938i | 0.00310471i | ||||||||
\(306\) | 271.367 | − | 208.603i | 0.886822 | − | 0.681709i | ||||
\(307\) | 63.9904 | + | 63.9904i | 0.208438 | + | 0.208438i | 0.803603 | − | 0.595165i | \(-0.202913\pi\) |
−0.595165 | + | 0.803603i | \(0.702913\pi\) | |||||||
\(308\) | −293.596 | + | 149.802i | −0.953235 | + | 0.486370i | ||||
\(309\) | −5.61319 | − | 13.0544i | −0.0181657 | − | 0.0422473i | ||||
\(310\) | −1.35196 | + | 0.982831i | −0.00436115 | + | 0.00317042i | ||||
\(311\) | 532.288 | 1.71154 | 0.855769 | − | 0.517359i | \(-0.173085\pi\) | ||||
0.855769 | + | 0.517359i | \(0.173085\pi\) | |||||||
\(312\) | −321.461 | + | 282.560i | −1.03032 | + | 0.905640i | ||||
\(313\) | 185.676i | 0.593215i | 0.954999 | + | 0.296607i | \(0.0958553\pi\) | ||||
−0.954999 | + | 0.296607i | \(0.904145\pi\) | |||||||
\(314\) | −126.420 | + | 91.9032i | −0.402610 | + | 0.292685i | ||||
\(315\) | 0.0215736 | + | 0.805687i | 6.84878e−5 | + | 0.00255774i | ||||
\(316\) | −180.626 | − | 58.5773i | −0.571602 | − | 0.185371i | ||||
\(317\) | −168.127 | + | 168.127i | −0.530370 | + | 0.530370i | −0.920683 | − | 0.390312i | \(-0.872367\pi\) |
0.390312 | + | 0.920683i | \(0.372367\pi\) | |||||||
\(318\) | −89.4631 | + | 150.571i | −0.281330 | + | 0.473493i | ||||
\(319\) | −202.742 | −0.635556 | ||||||||
\(320\) | 0.138115 | − | 0.881601i | 0.000431609 | − | 0.00275500i | ||||
\(321\) | 161.372 | + | 64.3256i | 0.502715 | + | 0.200391i | ||||
\(322\) | −248.319 | − | 39.2586i | −0.771176 | − | 0.121921i | ||||
\(323\) | 39.3936 | − | 39.3936i | 0.121962 | − | 0.121962i | ||||
\(324\) | −83.3125 | + | 313.105i | −0.257137 | + | 0.966375i | ||||
\(325\) | 315.243 | − | 315.243i | 0.969980 | − | 0.969980i | ||||
\(326\) | 161.553 | − | 117.444i | 0.495562 | − | 0.360258i | ||||
\(327\) | −474.652 | − | 189.204i | −1.45153 | − | 0.578607i | ||||
\(328\) | 171.376 | − | 337.043i | 0.522488 | − | 1.02757i | ||||
\(329\) | −40.4443 | −0.122931 | ||||||||
\(330\) | −1.04012 | + | 0.264794i | −0.00315188 | + | 0.000802406i | ||||
\(331\) | −241.678 | + | 241.678i | −0.730144 | + | 0.730144i | −0.970648 | − | 0.240504i | \(-0.922687\pi\) |
0.240504 | + | 0.970648i | \(0.422687\pi\) | |||||||
\(332\) | −354.392 | + | 180.822i | −1.06745 | + | 0.544644i | ||||
\(333\) | −3.17764 | − | 118.672i | −0.00954245 | − | 0.356371i | ||||
\(334\) | −26.9221 | + | 170.288i | −0.0806050 | + | 0.509843i | ||||
\(335\) | − | 0.468841i | − | 0.00139953i | ||||||
\(336\) | −67.6140 | + | 300.787i | −0.201232 | + | 0.895199i | ||||
\(337\) | 396.856 | 1.17762 | 0.588808 | − | 0.808273i | \(-0.299598\pi\) | ||||
0.588808 | + | 0.808273i | \(0.299598\pi\) | |||||||
\(338\) | 294.375 | + | 46.5401i | 0.870933 | + | 0.137692i | ||||
\(339\) | 243.163 | + | 565.518i | 0.717296 | + | 1.66819i | ||||
\(340\) | 0.944676 | − | 0.482003i | 0.00277846 | − | 0.00141766i | ||||
\(341\) | 543.754 | + | 543.754i | 1.59459 | + | 1.59459i | ||||
\(342\) | −6.83788 | + | 52.2904i | −0.0199938 | + | 0.152896i | ||||
\(343\) | 364.480i | 1.06262i | ||||||||
\(344\) | 84.5516 | + | 259.482i | 0.245790 | + | 0.754307i | ||||
\(345\) | −0.760456 | − | 0.303131i | −0.00220422 | − | 0.000878641i | ||||
\(346\) | −96.8659 | − | 133.246i | −0.279959 | − | 0.385104i | ||||
\(347\) | −38.5699 | − | 38.5699i | −0.111153 | − | 0.111153i | 0.649343 | − | 0.760496i | \(-0.275044\pi\) |
−0.760496 | + | 0.649343i | \(0.775044\pi\) | |||||||
\(348\) | −121.134 | + | 145.902i | −0.348087 | + | 0.419257i | ||||
\(349\) | 10.4065 | + | 10.4065i | 0.0298180 | + | 0.0298180i | 0.721859 | − | 0.692041i | \(-0.243288\pi\) |
−0.692041 | + | 0.721859i | \(0.743288\pi\) | |||||||
\(350\) | 50.1479 | − | 317.196i | 0.143280 | − | 0.906275i | ||||
\(351\) | 437.084 | − | 201.968i | 1.24525 | − | 0.575408i | ||||
\(352\) | −410.545 | + | 0.574461i | −1.16632 | + | 0.00163199i | ||||
\(353\) | − | 209.294i | − | 0.592900i | −0.955048 | − | 0.296450i | \(-0.904197\pi\) | ||
0.955048 | − | 0.296450i | \(-0.0958028\pi\) | |||||||
\(354\) | 261.587 | − | 440.265i | 0.738948 | − | 1.24369i | ||||
\(355\) | −0.133832 | − | 0.133832i | −0.000376992 | − | 0.000376992i | ||||
\(356\) | −362.125 | − | 117.438i | −1.01721 | − | 0.329881i | ||||
\(357\) | −336.600 | + | 144.732i | −0.942857 | + | 0.405413i | ||||
\(358\) | 31.4787 | + | 43.3012i | 0.0879293 | + | 0.120953i | ||||
\(359\) | −42.6682 | −0.118853 | −0.0594264 | − | 0.998233i | \(-0.518927\pi\) | ||||
−0.0594264 | + | 0.998233i | \(0.518927\pi\) | |||||||
\(360\) | −0.430893 | + | 0.906721i | −0.00119693 | + | 0.00251867i | ||||
\(361\) | − | 352.417i | − | 0.976223i | ||||||
\(362\) | −40.7653 | − | 56.0756i | −0.112611 | − | 0.154905i | ||||
\(363\) | 51.6649 | + | 120.156i | 0.142328 | + | 0.331007i | ||||
\(364\) | 408.097 | − | 208.224i | 1.12115 | − | 0.572043i | ||||
\(365\) | −0.310088 | + | 0.310088i | −0.000849557 | + | 0.000849557i | ||||
\(366\) | 208.145 | − | 350.318i | 0.568701 | − | 0.957153i | ||||
\(367\) | −16.2444 | −0.0442627 | −0.0221313 | − | 0.999755i | \(-0.507045\pi\) | ||||
−0.0221313 | + | 0.999755i | \(0.507045\pi\) | |||||||
\(368\) | −253.541 | − | 183.775i | −0.688970 | − | 0.499389i | ||||
\(369\) | −292.627 | + | 308.729i | −0.793026 | + | 0.836664i | ||||
\(370\) | 0.0574397 | − | 0.363318i | 0.000155242 | − | 0.000981940i | ||||
\(371\) | 132.571 | − | 132.571i | 0.357335 | − | 0.357335i | ||||
\(372\) | 716.188 | − | 66.4259i | 1.92524 | − | 0.178564i | ||||
\(373\) | 351.379 | − | 351.379i | 0.942035 | − | 0.942035i | −0.0563743 | − | 0.998410i | \(-0.517954\pi\) |
0.998410 | + | 0.0563743i | \(0.0179540\pi\) | |||||||
\(374\) | −286.904 | − | 394.657i | −0.767122 | − | 1.05523i | ||||
\(375\) | 0.774428 | − | 1.94278i | 0.00206514 | − | 0.00518076i | ||||
\(376\) | −44.9047 | − | 22.8326i | −0.119427 | − | 0.0607250i | ||||
\(377\) | 281.811 | 0.747509 | ||||||||
\(378\) | 169.115 | − | 302.805i | 0.447395 | − | 0.801070i | ||||
\(379\) | −170.505 | + | 170.505i | −0.449880 | + | 0.449880i | −0.895315 | − | 0.445435i | \(-0.853049\pi\) |
0.445435 | + | 0.895315i | \(0.353049\pi\) | |||||||
\(380\) | −0.0504060 | + | 0.155430i | −0.000132647 | + | 0.000409025i | ||||
\(381\) | 149.227 | − | 64.1653i | 0.391673 | − | 0.168413i | ||||
\(382\) | 309.005 | + | 48.8530i | 0.808915 | + | 0.127887i | ||||
\(383\) | − | 256.234i | − | 0.669017i | −0.942393 | − | 0.334509i | \(-0.891430\pi\) | ||
0.942393 | − | 0.334509i | \(-0.108570\pi\) | |||||||
\(384\) | −244.878 | + | 295.788i | −0.637704 | + | 0.770281i | ||||
\(385\) | 1.14892 | 0.00298422 | ||||||||
\(386\) | −68.0763 | + | 430.597i | −0.176363 | + | 1.11554i | ||||
\(387\) | −8.21813 | − | 306.913i | −0.0212355 | − | 0.793058i | ||||
\(388\) | −234.466 | − | 76.0375i | −0.604293 | − | 0.195973i | ||||
\(389\) | −376.214 | − | 376.214i | −0.967130 | − | 0.967130i | 0.0323468 | − | 0.999477i | \(-0.489702\pi\) |
−0.999477 | + | 0.0323468i | \(0.989702\pi\) | |||||||
\(390\) | 1.44576 | − | 0.368062i | 0.00370708 | − | 0.000943748i | ||||
\(391\) | − | 372.158i | − | 0.951810i | ||||||
\(392\) | −28.0941 | + | 55.2523i | −0.0716685 | + | 0.140950i | ||||
\(393\) | −49.1063 | + | 123.192i | −0.124953 | + | 0.313465i | ||||
\(394\) | −562.669 | + | 409.043i | −1.42809 | + | 1.03818i | ||||
\(395\) | 0.468035 | + | 0.468035i | 0.00118490 | + | 0.00118490i | ||||
\(396\) | 442.995 | + | 130.667i | 1.11867 | + | 0.329967i | ||||
\(397\) | −312.905 | − | 312.905i | −0.788174 | − | 0.788174i | 0.193021 | − | 0.981195i | \(-0.438172\pi\) |
−0.981195 | + | 0.193021i | \(0.938172\pi\) | |||||||
\(398\) | 460.659 | + | 72.8291i | 1.15744 | + | 0.182988i | ||||
\(399\) | 20.9030 | − | 52.4388i | 0.0523885 | − | 0.131426i | ||||
\(400\) | 234.750 | − | 323.867i | 0.586875 | − | 0.809668i | ||||
\(401\) | − | 9.22373i | − | 0.0230018i | −0.999934 | − | 0.0115009i | \(-0.996339\pi\) | ||
0.999934 | − | 0.0115009i | \(-0.00366093\pi\) | |||||||
\(402\) | −103.055 | + | 173.447i | −0.256356 | + | 0.431460i | ||||
\(403\) | −755.814 | − | 755.814i | −1.87547 | − | 1.87547i | ||||
\(404\) | 123.887 | + | 242.806i | 0.306651 | + | 0.601004i | ||||
\(405\) | 0.754715 | − | 0.840189i | 0.00186349 | − | 0.00207454i | ||||
\(406\) | 164.193 | − | 119.363i | 0.404416 | − | 0.293998i | ||||
\(407\) | −169.228 | −0.415793 | ||||||||
\(408\) | −455.430 | − | 29.3314i | −1.11625 | − | 0.0718908i | ||||
\(409\) | 322.436i | 0.788352i | 0.919035 | + | 0.394176i | \(0.128970\pi\) | ||||
−0.919035 | + | 0.394176i | \(0.871030\pi\) | |||||||
\(410\) | −1.06607 | + | 0.775002i | −0.00260017 | + | 0.00189025i | ||||
\(411\) | −118.282 | + | 50.8592i | −0.287790 | + | 0.123745i | ||||
\(412\) | −5.84478 | + | 18.0227i | −0.0141864 | + | 0.0437444i | ||||
\(413\) | −387.635 | + | 387.635i | −0.938583 | + | 0.938583i | ||||
\(414\) | 214.699 | + | 279.297i | 0.518596 | + | 0.674631i | ||||
\(415\) | 1.38683 | 0.00334177 | ||||||||
\(416\) | 570.655 | − | 0.798498i | 1.37177 | − | 0.00191947i | ||||
\(417\) | −73.9845 | + | 185.603i | −0.177421 | + | 0.445090i | ||||
\(418\) | 74.2527 | + | 11.7392i | 0.177638 | + | 0.0280841i | ||||
\(419\) | −226.569 | + | 226.569i | −0.540738 | + | 0.540738i | −0.923745 | − | 0.383007i | \(-0.874888\pi\) |
0.383007 | + | 0.923745i | \(0.374888\pi\) | |||||||
\(420\) | 0.686456 | − | 0.826811i | 0.00163442 | − | 0.00196860i | ||||
\(421\) | −498.861 | + | 498.861i | −1.18494 | + | 1.18494i | −0.206495 | + | 0.978448i | \(0.566206\pi\) |
−0.978448 | + | 0.206495i | \(0.933794\pi\) | |||||||
\(422\) | −19.4348 | + | 14.1285i | −0.0460540 | + | 0.0334799i | ||||
\(423\) | 41.1323 | + | 38.9870i | 0.0972394 | + | 0.0921677i | ||||
\(424\) | 222.034 | − | 72.3495i | 0.523666 | − | 0.170636i | ||||
\(425\) | 475.385 | 1.11855 | ||||||||
\(426\) | 20.0936 | + | 78.9283i | 0.0471680 | + | 0.185278i | ||||
\(427\) | −308.440 | + | 308.440i | −0.722343 | + | 0.722343i | ||||
\(428\) | −105.272 | − | 206.322i | −0.245962 | − | 0.482060i | ||||
\(429\) | −271.126 | − | 630.549i | −0.631995 | − | 1.46981i | ||||
\(430\) | 0.148553 | − | 0.939627i | 0.000345472 | − | 0.00218518i | ||||
\(431\) | 452.283i | 1.04938i | 0.851293 | + | 0.524690i | \(0.175819\pi\) | ||||
−0.851293 | + | 0.524690i | \(0.824181\pi\) | |||||||
\(432\) | 358.713 | − | 240.726i | 0.830354 | − | 0.557236i | ||||
\(433\) | 379.557 | 0.876574 | 0.438287 | − | 0.898835i | \(-0.355585\pi\) | ||||
0.438287 | + | 0.898835i | \(0.355585\pi\) | |||||||
\(434\) | −760.496 | − | 120.233i | −1.75229 | − | 0.277034i | ||||
\(435\) | 0.607258 | − | 0.261111i | 0.00139600 | − | 0.000600255i | ||||
\(436\) | 309.642 | + | 606.866i | 0.710188 | + | 1.39190i | ||||
\(437\) | 40.5447 | + | 40.5447i | 0.0927797 | + | 0.0927797i | ||||
\(438\) | 182.877 | − | 46.5567i | 0.417527 | − | 0.106294i | ||||
\(439\) | − | 689.509i | − | 1.57063i | −0.619094 | − | 0.785317i | \(-0.712500\pi\) | ||
0.619094 | − | 0.785317i | \(-0.287500\pi\) | |||||||
\(440\) | 1.27563 | + | 0.648618i | 0.00289916 | + | 0.00147413i | ||||
\(441\) | 47.9710 | − | 50.6107i | 0.108778 | − | 0.114763i | ||||
\(442\) | 398.794 | + | 548.571i | 0.902250 | + | 1.24111i | ||||
\(443\) | −97.5600 | − | 97.5600i | −0.220226 | − | 0.220226i | 0.588368 | − | 0.808593i | \(-0.299771\pi\) |
−0.808593 | + | 0.588368i | \(0.799771\pi\) | |||||||
\(444\) | −101.110 | + | 121.783i | −0.227725 | + | 0.274286i | ||||
\(445\) | 0.938330 | + | 0.938330i | 0.00210861 | + | 0.00210861i | ||||
\(446\) | −3.41330 | + | 21.5899i | −0.00765315 | + | 0.0484078i | ||||
\(447\) | 518.377 | + | 206.634i | 1.15968 | + | 0.462269i | ||||
\(448\) | 332.146 | − | 242.171i | 0.741397 | − | 0.540561i | ||||
\(449\) | − | 718.711i | − | 1.60069i | −0.599538 | − | 0.800347i | \(-0.704649\pi\) | ||
0.599538 | − | 0.800347i | \(-0.295351\pi\) | |||||||
\(450\) | −356.768 | + | 274.251i | −0.792817 | + | 0.609447i | ||||
\(451\) | 428.772 | + | 428.772i | 0.950713 | + | 0.950713i | ||||
\(452\) | 253.196 | − | 780.744i | 0.560168 | − | 1.72731i | ||||
\(453\) | −172.908 | − | 402.127i | −0.381695 | − | 0.887698i | ||||
\(454\) | −166.153 | − | 228.555i | −0.365976 | − | 0.503426i | ||||
\(455\) | −1.59700 | −0.00350988 | ||||||||
\(456\) | 52.8123 | − | 46.4213i | 0.115817 | − | 0.101801i | ||||
\(457\) | 489.021i | 1.07007i | 0.844830 | + | 0.535034i | \(0.179701\pi\) | ||||
−0.844830 | + | 0.535034i | \(0.820299\pi\) | |||||||
\(458\) | 385.613 | + | 530.438i | 0.841949 | + | 1.15816i | ||||
\(459\) | 481.843 | + | 177.277i | 1.04977 | + | 0.386224i | ||||
\(460\) | 0.496088 | + | 0.972282i | 0.00107845 | + | 0.00211366i | ||||
\(461\) | −459.082 | + | 459.082i | −0.995840 | + | 0.995840i | −0.999991 | − | 0.00415179i | \(-0.998678\pi\) |
0.00415179 | + | 0.999991i | \(0.498678\pi\) | |||||||
\(462\) | −425.042 | − | 252.543i | −0.920005 | − | 0.546629i | ||||
\(463\) | 587.611 | 1.26914 | 0.634569 | − | 0.772866i | \(-0.281178\pi\) | ||||
0.634569 | + | 0.772866i | \(0.281178\pi\) | |||||||
\(464\) | 249.687 | − | 39.8331i | 0.538118 | − | 0.0858472i | ||||
\(465\) | −2.32896 | − | 0.928364i | −0.00500852 | − | 0.00199648i | ||||
\(466\) | −98.8919 | + | 625.512i | −0.212214 | + | 1.34230i | ||||
\(467\) | −89.5077 | + | 89.5077i | −0.191665 | + | 0.191665i | −0.796415 | − | 0.604750i | \(-0.793273\pi\) |
0.604750 | + | 0.796415i | \(0.293273\pi\) | |||||||
\(468\) | −615.760 | − | 181.626i | −1.31573 | − | 0.388091i | ||||
\(469\) | 152.713 | − | 152.713i | 0.325614 | − | 0.325614i | ||||
\(470\) | 0.103254 | + | 0.142034i | 0.000219690 | + | 0.000302199i | ||||
\(471\) | −217.778 | − | 86.8101i | −0.462374 | − | 0.184310i | ||||
\(472\) | −649.222 | + | 211.548i | −1.37547 | + | 0.448195i | ||||
\(473\) | −437.664 | −0.925293 | ||||||||
\(474\) | −70.2708 | − | 276.027i | −0.148251 | − | 0.582334i | ||||
\(475\) | −51.7909 | + | 51.7909i | −0.109033 | + | 0.109033i | ||||
\(476\) | 464.704 | + | 150.704i | 0.976268 | + | 0.316605i | ||||
\(477\) | −262.621 | + | 7.03213i | −0.550568 | + | 0.0147424i | ||||
\(478\) | 755.993 | + | 119.521i | 1.58157 | + | 0.250043i | ||||
\(479\) | 439.291i | 0.917101i | 0.888668 | + | 0.458550i | \(0.151631\pi\) | ||||
−0.888668 | + | 0.458550i | \(0.848369\pi\) | |||||||
\(480\) | 1.22893 | − | 0.530460i | 0.00256028 | − | 0.00110513i | ||||
\(481\) | 235.226 | 0.489034 | ||||||||
\(482\) | −28.5194 | + | 180.391i | −0.0591688 | + | 0.374255i | ||||
\(483\) | −148.962 | − | 346.436i | −0.308410 | − | 0.717259i | ||||
\(484\) | 53.7966 | − | 165.885i | 0.111150 | − | 0.342737i | ||||
\(485\) | 0.607542 | + | 0.607542i | 0.00125266 | + | 0.00125266i | ||||
\(486\) | −463.886 | + | 144.934i | −0.954498 | + | 0.298218i | ||||
\(487\) | 499.716i | 1.02611i | 0.858355 | + | 0.513056i | \(0.171487\pi\) | ||||
−0.858355 | + | 0.513056i | \(0.828513\pi\) | |||||||
\(488\) | −516.585 | + | 168.328i | −1.05858 | + | 0.344935i | ||||
\(489\) | 278.301 | + | 110.936i | 0.569123 | + | 0.226862i | ||||
\(490\) | 0.174764 | − | 0.127048i | 0.000356660 | − | 0.000259281i | ||||
\(491\) | 359.246 | + | 359.246i | 0.731663 | + | 0.731663i | 0.970949 | − | 0.239286i | \(-0.0769134\pi\) |
−0.239286 | + | 0.970949i | \(0.576913\pi\) | |||||||
\(492\) | 564.743 | − | 52.3795i | 1.14785 | − | 0.106462i | ||||
\(493\) | 212.484 | + | 212.484i | 0.431003 | + | 0.431003i | ||||
\(494\) | −103.211 | − | 16.3174i | −0.208929 | − | 0.0330311i | ||||
\(495\) | −1.16847 | − | 1.10752i | −0.00236054 | − | 0.00223742i | ||||
\(496\) | −776.490 | − | 562.826i | −1.56550 | − | 1.13473i | ||||
\(497\) | − | 87.1846i | − | 0.175422i | ||||||
\(498\) | −513.057 | − | 304.837i | −1.03023 | − | 0.612123i | ||||
\(499\) | −64.4682 | − | 64.4682i | −0.129195 | − | 0.129195i | 0.639553 | − | 0.768747i | \(-0.279120\pi\) |
−0.768747 | + | 0.639553i | \(0.779120\pi\) | |||||||
\(500\) | −2.48395 | + | 1.26739i | −0.00496790 | + | 0.00253477i | ||||
\(501\) | −237.573 | + | 102.152i | −0.474197 | + | 0.203897i | ||||
\(502\) | −294.594 | + | 214.161i | −0.586840 | + | 0.426615i | ||||
\(503\) | 597.277 | 1.18743 | 0.593714 | − | 0.804676i | \(-0.297661\pi\) | ||||
0.593714 | + | 0.804676i | \(0.297661\pi\) | |||||||
\(504\) | −435.693 | + | 154.989i | −0.864470 | + | 0.307517i | ||||
\(505\) | − | 0.950165i | − | 0.00188151i | ||||||
\(506\) | 406.190 | − | 295.288i | 0.802746 | − | 0.583573i | ||||
\(507\) | 176.591 | + | 410.691i | 0.348305 | + | 0.810042i | ||||
\(508\) | −206.020 | − | 66.8127i | −0.405552 | − | 0.131521i | ||||
\(509\) | 359.574 | − | 359.574i | 0.706433 | − | 0.706433i | −0.259350 | − | 0.965783i | \(-0.583508\pi\) |
0.965783 | + | 0.259350i | \(0.0835084\pi\) | |||||||
\(510\) | 1.36762 | + | 0.812582i | 0.00268160 | + | 0.00159330i | ||||
\(511\) | −202.006 | −0.395316 | ||||||||
\(512\) | 505.493 | − | 81.3679i | 0.987291 | − | 0.158922i | ||||
\(513\) | −71.8079 | + | 33.1810i | −0.139976 | + | 0.0646804i | ||||
\(514\) | −244.789 | − | 38.7006i | −0.476244 | − | 0.0752930i | ||||
\(515\) | 0.0467000 | − | 0.0467000i | 9.06796e−5 | − | 9.06796e-5i | ||||
\(516\) | −261.495 | + | 314.960i | −0.506772 | + | 0.610388i | ||||
\(517\) | 57.1257 | − | 57.1257i | 0.110495 | − | 0.110495i | ||||
\(518\) | 137.051 | − | 99.6318i | 0.264577 | − | 0.192339i | ||||
\(519\) | 91.4977 | − | 229.538i | 0.176296 | − | 0.442269i | ||||
\(520\) | −1.77312 | − | 0.901575i | −0.00340985 | − | 0.00173380i | ||||
\(521\) | −862.399 | −1.65528 | −0.827639 | − | 0.561261i | \(-0.810316\pi\) | ||||
−0.827639 | + | 0.561261i | \(0.810316\pi\) | |||||||
\(522\) | −282.049 | − | 36.8827i | −0.540323 | − | 0.0706565i | ||||
\(523\) | −256.574 | + | 256.574i | −0.490581 | + | 0.490581i | −0.908489 | − | 0.417908i | \(-0.862763\pi\) |
0.417908 | + | 0.908489i | \(0.362763\pi\) | |||||||
\(524\) | 157.507 | − | 80.3648i | 0.300585 | − | 0.153368i | ||||
\(525\) | 442.529 | − | 190.280i | 0.842912 | − | 0.362438i | ||||
\(526\) | 60.7078 | − | 383.989i | 0.115414 | − | 0.730018i | ||||
\(527\) | − | 1139.76i | − | 2.16274i | ||||||
\(528\) | −329.346 | − | 520.350i | −0.623762 | − | 0.985510i | ||||
\(529\) | −145.967 | −0.275930 | ||||||||
\(530\) | −0.804024 | − | 0.127114i | −0.00151703 | − | 0.000239838i | ||||
\(531\) | 767.897 | − | 20.5617i | 1.44613 | − | 0.0387227i | ||||
\(532\) | −67.0456 | + | 34.2087i | −0.126026 | + | 0.0643021i | ||||
\(533\) | −595.990 | − | 595.990i | −1.11818 | − | 1.11818i | ||||
\(534\) | −140.881 | − | 553.386i | −0.263822 | − | 1.03630i | ||||
\(535\) | 0.807394i | 0.00150915i | ||||||||
\(536\) | 255.768 | − | 83.3415i | 0.477179 | − | 0.155488i | ||||
\(537\) | −29.7342 | + | 74.5933i | −0.0553709 | + | 0.138907i | ||||
\(538\) | −493.350 | − | 678.639i | −0.917008 | − | 1.26141i | ||||
\(539\) | −70.2895 | − | 70.2895i | −0.130407 | − | 0.130407i | ||||
\(540\) | −1.49515 | + | 0.179155i | −0.00276880 | + | 0.000331768i | ||||
\(541\) | −431.469 | − | 431.469i | −0.797540 | − | 0.797540i | 0.185167 | − | 0.982707i | \(-0.440717\pi\) |
−0.982707 | + | 0.185167i | \(0.940717\pi\) | |||||||
\(542\) | −86.8947 | + | 549.627i | −0.160322 | + | 1.01407i | ||||
\(543\) | 38.5062 | − | 96.5993i | 0.0709137 | − | 0.177899i | ||||
\(544\) | 430.874 | + | 429.670i | 0.792048 | + | 0.789835i | ||||
\(545\) | − | 2.37483i | − | 0.00435749i | ||||||
\(546\) | 590.806 | + | 351.033i | 1.08206 | + | 0.642917i | ||||
\(547\) | 335.381 | + | 335.381i | 0.613127 | + | 0.613127i | 0.943760 | − | 0.330632i | \(-0.107262\pi\) |
−0.330632 | + | 0.943760i | \(0.607262\pi\) | |||||||
\(548\) | 163.298 | + | 52.9576i | 0.297989 | + | 0.0966380i | ||||
\(549\) | 611.014 | − | 16.3609i | 1.11296 | − | 0.0298014i | ||||
\(550\) | 377.193 | + | 518.857i | 0.685806 | + | 0.943376i | ||||
\(551\) | −46.2983 | −0.0840259 | ||||||||
\(552\) | 30.1886 | − | 468.738i | 0.0546895 | − | 0.849164i | ||||
\(553\) | 304.900i | 0.551357i | ||||||||
\(554\) | 100.041 | + | 137.613i | 0.180579 | + | 0.248399i | ||||
\(555\) | 0.506874 | − | 0.217948i | 0.000913287 | − | 0.000392699i | ||||
\(556\) | 237.302 | − | 121.079i | 0.426803 | − | 0.217768i | ||||
\(557\) | 118.642 | − | 118.642i | 0.213001 | − | 0.213001i | −0.592540 | − | 0.805541i | \(-0.701875\pi\) |
0.805541 | + | 0.592540i | \(0.201875\pi\) | |||||||
\(558\) | 657.533 | + | 855.371i | 1.17837 | + | 1.53292i | ||||
\(559\) | 608.350 | 1.08828 | ||||||||
\(560\) | −1.41495 | + | 0.225730i | −0.00252670 | + | 0.000403090i | ||||
\(561\) | 271.004 | − | 679.860i | 0.483073 | − | 1.21187i | ||||
\(562\) | 97.9564 | − | 619.595i | 0.174300 | − | 1.10248i | ||||
\(563\) | −290.766 | + | 290.766i | −0.516459 | + | 0.516459i | −0.916498 | − | 0.400039i | \(-0.868997\pi\) |
0.400039 | + | 0.916498i | \(0.368997\pi\) | |||||||
\(564\) | −6.97857 | − | 75.2413i | −0.0123734 | − | 0.133407i | ||||
\(565\) | −2.02305 | + | 2.02305i | −0.00358061 | + | 0.00358061i | ||||
\(566\) | −477.290 | − | 656.546i | −0.843268 | − | 1.15998i | ||||
\(567\) | 519.499 | − | 27.8409i | 0.916223 | − | 0.0491021i | ||||
\(568\) | 49.2196 | − | 96.7998i | 0.0866543 | − | 0.170422i | ||||
\(569\) | 669.398 | 1.17645 | 0.588223 | − | 0.808699i | \(-0.299828\pi\) | ||||
0.588223 | + | 0.808699i | \(0.299828\pi\) | |||||||
\(570\) | −0.237522 | + | 0.0604683i | −0.000416705 | + | 0.000106085i | ||||
\(571\) | 454.971 | − | 454.971i | 0.796798 | − | 0.796798i | −0.185792 | − | 0.982589i | \(-0.559485\pi\) |
0.982589 | + | 0.185792i | \(0.0594849\pi\) | |||||||
\(572\) | −282.312 | + | 870.525i | −0.493553 | + | 1.52190i | ||||
\(573\) | 185.367 | + | 431.102i | 0.323502 | + | 0.752359i | ||||
\(574\) | −599.681 | − | 94.8082i | −1.04474 | − | 0.165171i | ||||
\(575\) | 489.277i | 0.850916i | ||||||||
\(576\) | −571.241 | − | 73.8868i | −0.991739 | − | 0.128276i | ||||
\(577\) | −288.393 | −0.499814 | −0.249907 | − | 0.968270i | \(-0.580400\pi\) | ||||
−0.249907 | + | 0.968270i | \(0.580400\pi\) | |||||||
\(578\) | −22.6713 | + | 143.401i | −0.0392238 | + | 0.248098i | ||||
\(579\) | −600.737 | + | 258.307i | −1.03754 | + | 0.446126i | ||||
\(580\) | −0.838370 | − | 0.271884i | −0.00144547 | − | 0.000468766i | ||||
\(581\) | 451.725 | + | 451.725i | 0.777496 | + | 0.777496i | ||||
\(582\) | −91.2164 | − | 358.302i | −0.156729 | − | 0.615639i | ||||
\(583\) | 374.502i | 0.642371i | ||||||||
\(584\) | −224.285 | − | 114.042i | −0.384049 | − | 0.195277i | ||||
\(585\) | 1.62416 | + | 1.53945i | 0.00277635 | + | 0.00263154i | ||||
\(586\) | 403.796 | − | 293.548i | 0.689072 | − | 0.500935i | ||||
\(587\) | −393.610 | − | 393.610i | −0.670545 | − | 0.670545i | 0.287297 | − | 0.957842i | \(-0.407243\pi\) |
−0.957842 | + | 0.287297i | \(0.907243\pi\) | |||||||
\(588\) | −92.5796 | + | 8.58669i | −0.157448 | + | 0.0146032i | ||||
\(589\) | 124.172 | + | 124.172i | 0.210818 | + | 0.210818i | ||||
\(590\) | 2.35094 | + | 0.371679i | 0.00398465 | + | 0.000629964i | ||||
\(591\) | −969.287 | − | 386.375i | −1.64008 | − | 0.653764i | ||||
\(592\) | 208.412 | − | 33.2484i | 0.352047 | − | 0.0561629i | ||||
\(593\) | 707.638i | 1.19332i | 0.802495 | + | 0.596659i | \(0.203506\pi\) | ||||
−0.802495 | + | 0.596659i | \(0.796494\pi\) | |||||||
\(594\) | 188.830 | + | 666.565i | 0.317895 | + | 1.12216i | ||||
\(595\) | −1.20413 | − | 1.20413i | −0.00202375 | − | 0.00202375i | ||||
\(596\) | −338.166 | − | 662.772i | −0.567393 | − | 1.11203i | ||||
\(597\) | 276.341 | + | 642.678i | 0.462883 | + | 1.07651i | ||||
\(598\) | −564.601 | + | 410.448i | −0.944149 | + | 0.686368i | ||||
\(599\) | −996.581 | −1.66374 | −0.831870 | − | 0.554970i | \(-0.812730\pi\) | ||||
−0.831870 | + | 0.554970i | \(0.812730\pi\) | |||||||
\(600\) | 598.755 | + | 38.5622i | 0.997925 | + | 0.0642703i | ||||
\(601\) | − | 214.386i | − | 0.356716i | −0.983966 | − | 0.178358i | \(-0.942921\pi\) | ||
0.983966 | − | 0.178358i | \(-0.0570785\pi\) | |||||||
\(602\) | 354.446 | − | 257.672i | 0.588781 | − | 0.428026i | ||||
\(603\) | −302.521 | + | 8.10051i | −0.501693 | + | 0.0134337i | ||||
\(604\) | −180.042 | + | 555.169i | −0.298083 | + | 0.919155i | ||||
\(605\) | −0.429836 | + | 0.429836i | −0.000710474 | + | 0.000710474i | ||||
\(606\) | −208.854 | + | 351.512i | −0.344644 | + | 0.580053i | ||||
\(607\) | −989.981 | −1.63094 | −0.815470 | − | 0.578799i | \(-0.803522\pi\) | ||||
−0.815470 | + | 0.578799i | \(0.803522\pi\) | |||||||
\(608\) | −93.7521 | + | 0.131184i | −0.154198 | + | 0.000215763i | ||||
\(609\) | 282.849 | + | 112.748i | 0.464448 | + | 0.185137i | ||||
\(610\) | 1.87064 | + | 0.295744i | 0.00306663 | + | 0.000484826i | ||||
\(611\) | −79.4044 | + | 79.4044i | −0.129958 | + | 0.129958i | ||||
\(612\) | −327.335 | − | 601.227i | −0.534862 | − | 0.982397i | ||||
\(613\) | 277.427 | − | 277.427i | 0.452572 | − | 0.452572i | −0.443636 | − | 0.896207i | \(-0.646312\pi\) |
0.896207 | + | 0.443636i | \(0.146312\pi\) | |||||||
\(614\) | 146.396 | − | 106.425i | 0.238430 | − | 0.173331i | ||||
\(615\) | −1.83648 | − | 0.732052i | −0.00298614 | − | 0.00119033i | ||||
\(616\) | 204.233 | + | 626.774i | 0.331548 | + | 1.01749i | ||||
\(617\) | −294.951 | −0.478040 | −0.239020 | − | 0.971015i | \(-0.576826\pi\) | ||||
−0.239020 | + | 0.971015i | \(0.576826\pi\) | |||||||
\(618\) | −27.5416 | + | 7.01155i | −0.0445658 | + | 0.0113455i | ||||
\(619\) | 717.374 | − | 717.374i | 1.15892 | − | 1.15892i | 0.174218 | − | 0.984707i | \(-0.444260\pi\) |
0.984707 | − | 0.174218i | \(-0.0557396\pi\) | |||||||
\(620\) | 1.51931 | + | 2.97769i | 0.00245050 | + | 0.00480273i | ||||
\(621\) | −182.457 | + | 495.924i | −0.293812 | + | 0.798589i | ||||
\(622\) | 166.242 | − | 1051.52i | 0.267270 | − | 1.69054i | ||||
\(623\) | 611.273i | 0.981177i | ||||||||
\(624\) | 457.789 | + | 723.283i | 0.733636 | + | 1.15911i | ||||
\(625\) | −624.985 | −0.999977 | ||||||||
\(626\) | 366.797 | + | 57.9897i | 0.585937 | + | 0.0926353i | ||||
\(627\) | 44.5428 | + | 103.592i | 0.0710412 | + | 0.165218i | ||||
\(628\) | 142.069 | + | 278.440i | 0.226224 | + | 0.443376i | ||||
\(629\) | 177.359 | + | 177.359i | 0.281970 | + | 0.281970i | ||||
\(630\) | 1.59834 | + | 0.209011i | 0.00253705 | + | 0.000331763i | ||||
\(631\) | − | 526.114i | − | 0.833779i | −0.908957 | − | 0.416889i | \(-0.863120\pi\) | ||
0.908957 | − | 0.416889i | \(-0.136880\pi\) | |||||||
\(632\) | −172.130 | + | 338.526i | −0.272357 | + | 0.535643i | ||||
\(633\) | −33.4795 | − | 13.3455i | −0.0528903 | − | 0.0210830i | ||||
\(634\) | 279.621 | + | 384.639i | 0.441042 | + | 0.606685i | ||||
\(635\) | 0.533835 | + | 0.533835i | 0.000840686 | + | 0.000840686i | ||||
\(636\) | 269.507 | + | 223.757i | 0.423753 | + | 0.351819i | ||||
\(637\) | 97.7020 | + | 97.7020i | 0.153378 | + | 0.153378i | ||||
\(638\) | −63.3197 | + | 400.510i | −0.0992472 | + | 0.627759i | ||||
\(639\) | −84.0431 | + | 88.6678i | −0.131523 | + | 0.138760i | ||||
\(640\) | −1.69844 | − | 0.548179i | −0.00265381 | − | 0.000856530i | ||||
\(641\) | 1025.84i | 1.60037i | 0.599754 | + | 0.800184i | \(0.295265\pi\) | ||||
−0.599754 | + | 0.800184i | \(0.704735\pi\) | |||||||
\(642\) | 177.472 | − | 298.694i | 0.276436 | − | 0.465255i | ||||
\(643\) | −366.197 | − | 366.197i | −0.569514 | − | 0.569514i | 0.362479 | − | 0.931992i | \(-0.381931\pi\) |
−0.931992 | + | 0.362479i | \(0.881931\pi\) | |||||||
\(644\) | −155.108 | + | 478.283i | −0.240851 | + | 0.742676i | ||||
\(645\) | 1.31090 | − | 0.563665i | 0.00203240 | − | 0.000873900i | ||||
\(646\) | −65.5173 | − | 90.1238i | −0.101420 | − | 0.139511i | ||||
\(647\) | −90.9084 | −0.140508 | −0.0702538 | − | 0.997529i | \(-0.522381\pi\) | ||||
−0.0702538 | + | 0.997529i | \(0.522381\pi\) | |||||||
\(648\) | 592.509 | + | 262.369i | 0.914365 | + | 0.404890i | ||||
\(649\) | − | 1095.03i | − | 1.68726i | ||||||
\(650\) | −524.296 | − | 721.208i | −0.806610 | − | 1.10955i | ||||
\(651\) | −456.208 | − | 1060.99i | −0.700780 | − | 1.62978i | ||||
\(652\) | −181.551 | − | 355.822i | −0.278453 | − | 0.545739i | ||||
\(653\) | 291.274 | − | 291.274i | 0.446056 | − | 0.446056i | −0.447985 | − | 0.894041i | \(-0.647858\pi\) |
0.894041 | + | 0.447985i | \(0.147858\pi\) | |||||||
\(654\) | −522.008 | + | 878.566i | −0.798177 | + | 1.34337i | ||||
\(655\) | −0.616367 | −0.000941019 | ||||||||
\(656\) | −612.294 | − | 443.811i | −0.933375 | − | 0.676541i | ||||
\(657\) | 205.443 | + | 194.728i | 0.312698 | + | 0.296389i | ||||
\(658\) | −12.6314 | + | 79.8962i | −0.0191967 | + | 0.121423i | ||||
\(659\) | 817.853 | − | 817.853i | 1.24105 | − | 1.24105i | 0.281486 | − | 0.959565i | \(-0.409173\pi\) |
0.959565 | − | 0.281486i | \(-0.0908273\pi\) | |||||||
\(660\) | 0.198244 | + | 2.13742i | 0.000300370 | + | 0.00323852i | ||||
\(661\) | −673.995 | + | 673.995i | −1.01966 | + | 1.01966i | −0.0198568 | + | 0.999803i | \(0.506321\pi\) |
−0.999803 | + | 0.0198568i | \(0.993679\pi\) | |||||||
\(662\) | 401.946 | + | 552.905i | 0.607169 | + | 0.835205i | ||||
\(663\) | −376.694 | + | 945.001i | −0.568166 | + | 1.42534i | ||||
\(664\) | 246.524 | + | 756.562i | 0.371272 | + | 1.13940i | ||||
\(665\) | 0.262368 | 0.000394538 | ||||||||
\(666\) | −235.424 | − | 30.7858i | −0.353490 | − | 0.0462249i | ||||
\(667\) | −218.694 | + | 218.694i | −0.327877 | + | 0.327877i | ||||
\(668\) | 327.989 | + | 106.367i | 0.491001 | + | 0.159232i | ||||
\(669\) | −30.1206 | + | 12.9514i | −0.0450233 | + | 0.0193593i | ||||
\(670\) | −0.926179 | − | 0.146427i | −0.00138236 | − | 0.000218547i | ||||
\(671\) | − | 871.316i | − | 1.29853i | ||||||
\(672\) | 573.077 | + | 227.510i | 0.852793 | + | 0.338556i | ||||
\(673\) | −526.059 | −0.781662 | −0.390831 | − | 0.920462i | \(-0.627812\pi\) | ||||
−0.390831 | + | 0.920462i | \(0.627812\pi\) | |||||||
\(674\) | 123.945 | − | 783.975i | 0.183894 | − | 1.16317i | ||||
\(675\) | −633.481 | − | 233.066i | −0.938490 | − | 0.345283i | ||||
\(676\) | 183.876 | − | 566.993i | 0.272007 | − | 0.838747i | ||||
\(677\) | 143.663 | + | 143.663i | 0.212205 | + | 0.212205i | 0.805204 | − | 0.592998i | \(-0.202056\pi\) |
−0.592998 | + | 0.805204i | \(0.702056\pi\) | |||||||
\(678\) | 1193.10 | − | 303.740i | 1.75974 | − | 0.447995i | ||||
\(679\) | 395.782i | 0.582890i | ||||||||
\(680\) | −0.657142 | − | 2.01671i | −0.000966385 | − | 0.00296575i | ||||
\(681\) | 156.945 | − | 393.723i | 0.230462 | − | 0.578155i | ||||
\(682\) | 1243.99 | − | 904.343i | 1.82403 | − | 1.32602i | ||||
\(683\) | 50.6262 | + | 50.6262i | 0.0741232 | + | 0.0741232i | 0.743196 | − | 0.669073i | \(-0.233309\pi\) |
−0.669073 | + | 0.743196i | \(0.733309\pi\) | |||||||
\(684\) | 101.162 | + | 29.8391i | 0.147898 | + | 0.0436244i | ||||
\(685\) | −0.423133 | − | 0.423133i | −0.000617713 | − | 0.000617713i | ||||
\(686\) | 720.016 | + | 113.833i | 1.04959 | + | 0.165937i | ||||
\(687\) | −364.243 | + | 913.765i | −0.530193 | + | 1.33008i | ||||
\(688\) | 539.004 | − | 85.9884i | 0.783436 | − | 0.124983i | ||||
\(689\) | − | 520.556i | − | 0.755523i | ||||||
\(690\) | −0.836328 | + | 1.40758i | −0.00121207 | + | 0.00203997i | ||||
\(691\) | 396.186 | + | 396.186i | 0.573351 | + | 0.573351i | 0.933063 | − | 0.359712i | \(-0.117125\pi\) |
−0.359712 | + | 0.933063i | \(0.617125\pi\) | |||||||
\(692\) | −293.475 | + | 149.740i | −0.424097 | + | 0.216388i | ||||
\(693\) | −19.8508 | − | 741.345i | −0.0286447 | − | 1.06976i | ||||
\(694\) | −88.2395 | + | 64.1475i | −0.127146 | + | 0.0924316i | ||||
\(695\) | −0.928629 | −0.00133616 | ||||||||
\(696\) | 250.391 | + | 284.864i | 0.359757 | + | 0.409287i | ||||
\(697\) | − | 898.749i | − | 1.28945i | ||||||
\(698\) | 23.8078 | − | 17.3075i | 0.0341086 | − | 0.0247959i | ||||
\(699\) | −872.669 | + | 375.233i | −1.24845 | + | 0.536815i | ||||
\(700\) | −610.948 | − | 198.131i | −0.872782 | − | 0.283044i | ||||
\(701\) | 525.886 | − | 525.886i | 0.750195 | − | 0.750195i | −0.224321 | − | 0.974515i | \(-0.572016\pi\) |
0.974515 | + | 0.224321i | \(0.0720164\pi\) | |||||||
\(702\) | −262.472 | − | 926.522i | −0.373892 | − | 1.31983i | ||||
\(703\) | −38.6449 | −0.0549713 | ||||||||
\(704\) | −127.085 | + | 811.197i | −0.180519 | + | 1.15227i | ||||
\(705\) | −0.0975321 | + | 0.244676i | −0.000138343 | + | 0.000347058i | ||||
\(706\) | −413.452 | − | 65.3658i | −0.585627 | − | 0.0925861i | ||||
\(707\) | 309.492 | − | 309.492i | 0.437753 | − | 0.437753i | ||||
\(708\) | −788.030 | − | 654.259i | −1.11304 | − | 0.924094i | ||||
\(709\) | −99.4062 | + | 99.4062i | −0.140206 | + | 0.140206i | −0.773726 | − | 0.633520i | \(-0.781609\pi\) |
0.633520 | + | 0.773726i | \(0.281609\pi\) | |||||||
\(710\) | −0.306178 | + | 0.222583i | −0.000431237 | + | 0.000313497i | ||||
\(711\) | 293.914 | − | 310.087i | 0.413381 | − | 0.436128i | ||||
\(712\) | −345.091 | + | 678.688i | −0.484679 | + | 0.953213i | ||||
\(713\) | 1173.07 | 1.64526 | ||||||||
\(714\) | 180.788 | + | 710.143i | 0.253205 | + | 0.994598i | ||||
\(715\) | 2.25568 | − | 2.25568i | 0.00315480 | − | 0.00315480i | ||||
\(716\) | 95.3713 | − | 48.6613i | 0.133200 | − | 0.0679628i | ||||
\(717\) | 453.506 | + | 1054.71i | 0.632505 | + | 1.47100i | ||||
\(718\) | −13.3260 | + | 84.2894i | −0.0185598 | + | 0.117395i | ||||
\(719\) | − | 551.765i | − | 0.767406i | −0.923456 | − | 0.383703i | \(-0.874649\pi\) | ||
0.923456 | − | 0.383703i | \(-0.125351\pi\) | |||||||
\(720\) | 1.65662 | + | 1.13440i | 0.00230086 | + | 0.00157555i | ||||
\(721\) | 30.4226 | 0.0421951 | ||||||||
\(722\) | −696.186 | − | 110.065i | −0.964247 | − | 0.152445i | ||||
\(723\) | −251.668 | + | 108.213i | −0.348089 | + | 0.149673i | ||||
\(724\) | −123.507 | + | 63.0171i | −0.170590 | + | 0.0870402i | ||||
\(725\) | −279.354 | − | 279.354i | −0.385316 | − | 0.385316i | ||||
\(726\) | 253.499 | − | 64.5357i | 0.349172 | − | 0.0888922i | ||||
\(727\) | − | 75.0947i | − | 0.103294i | −0.998665 | − | 0.0516470i | \(-0.983553\pi\) | ||
0.998665 | − | 0.0516470i | \(-0.0164471\pi\) | |||||||
\(728\) | −283.883 | − | 871.213i | −0.389949 | − | 1.19672i | ||||
\(729\) | −555.174 | − | 472.465i | −0.761555 | − | 0.648100i | ||||
\(730\) | 0.515723 | + | 0.709414i | 0.000706470 | + | 0.000971800i | ||||
\(731\) | 458.694 | + | 458.694i | 0.627488 | + | 0.627488i | ||||
\(732\) | −627.034 | − | 520.592i | −0.856604 | − | 0.711192i | ||||
\(733\) | 442.709 | + | 442.709i | 0.603968 | + | 0.603968i | 0.941363 | − | 0.337395i | \(-0.109546\pi\) |
−0.337395 | + | 0.941363i | \(0.609546\pi\) | |||||||
\(734\) | −5.07339 | + | 32.0902i | −0.00691197 | + | 0.0437197i | ||||
\(735\) | 0.301058 | + | 0.120007i | 0.000409603 | + | 0.000163275i | ||||
\(736\) | −442.226 | + | 443.465i | −0.600851 | + | 0.602535i | ||||
\(737\) | 431.400i | 0.585346i | ||||||||
\(738\) | 518.491 | + | 674.494i | 0.702562 | + | 0.913949i | ||||
\(739\) | 283.395 | + | 283.395i | 0.383485 | + | 0.383485i | 0.872356 | − | 0.488871i | \(-0.162591\pi\) |
−0.488871 | + | 0.872356i | \(0.662591\pi\) | |||||||
\(740\) | −0.699782 | − | 0.226940i | −0.000945651 | − | 0.000306676i | ||||
\(741\) | −61.9143 | − | 143.992i | −0.0835550 | − | 0.194321i | ||||
\(742\) | −220.486 | − | 303.294i | −0.297151 | − | 0.408752i | ||||
\(743\) | 835.949 | 1.12510 | 0.562550 | − | 0.826763i | \(-0.309820\pi\) | ||||
0.562550 | + | 0.826763i | \(0.309820\pi\) | |||||||
\(744\) | 92.4550 | − | 1435.55i | 0.124267 | − | 1.92950i | ||||
\(745\) | 2.59361i | 0.00348135i | ||||||||
\(746\) | −584.396 | − | 803.878i | −0.783372 | − | 1.07758i | ||||
\(747\) | −23.9613 | − | 894.857i | −0.0320768 | − | 1.19794i | ||||
\(748\) | −869.235 | + | 443.510i | −1.16208 | + | 0.592928i | ||||
\(749\) | −262.988 | + | 262.988i | −0.351118 | + | 0.351118i | ||||
\(750\) | −3.59603 | − | 2.13662i | −0.00479471 | − | 0.00284882i | ||||
\(751\) | 753.712 | 1.00361 | 0.501806 | − | 0.864980i | \(-0.332669\pi\) | ||||
0.501806 | + | 0.864980i | \(0.332669\pi\) | |||||||
\(752\) | −59.1294 | + | 81.5766i | −0.0786296 | + | 0.108479i | ||||
\(753\) | −507.485 | − | 202.292i | −0.673951 | − | 0.268648i | ||||
\(754\) | 88.0140 | − | 556.707i | 0.116729 | − | 0.738338i | ||||
\(755\) | 1.43854 | − | 1.43854i | 0.00190535 | − | 0.00190535i | ||||
\(756\) | −545.362 | − | 428.652i | −0.721378 | − | 0.567000i | ||||
\(757\) | −335.789 | + | 335.789i | −0.443578 | + | 0.443578i | −0.893213 | − | 0.449634i | \(-0.851554\pi\) |
0.449634 | + | 0.893213i | \(0.351554\pi\) | |||||||
\(758\) | 283.574 | + | 390.077i | 0.374109 | + | 0.514613i | ||||
\(759\) | 699.727 | + | 278.923i | 0.921906 | + | 0.367488i | ||||
\(760\) | 0.291303 | + | 0.148118i | 0.000383294 | + | 0.000194893i | ||||
\(761\) | −1094.53 | −1.43828 | −0.719138 | − | 0.694868i | \(-0.755463\pi\) | ||||
−0.719138 | + | 0.694868i | \(0.755463\pi\) | |||||||
\(762\) | −80.1501 | − | 314.833i | −0.105184 | − | 0.413167i | ||||
\(763\) | 773.541 | − | 773.541i | 1.01381 | − | 1.01381i | ||||
\(764\) | 193.015 | − | 595.172i | 0.252637 | − | 0.779020i | ||||
\(765\) | 0.0638720 | + | 2.38535i | 8.34928e−5 | + | 0.00311811i | ||||
\(766\) | −506.180 | − | 80.0259i | −0.660810 | − | 0.104472i | ||||
\(767\) | 1522.09i | 1.98447i | ||||||||
\(768\) | 507.839 | + | 576.128i | 0.661249 | + | 0.750167i | ||||
\(769\) | 290.367 | 0.377590 | 0.188795 | − | 0.982016i | \(-0.439542\pi\) | ||||
0.188795 | + | 0.982016i | \(0.439542\pi\) | |||||||
\(770\) | 0.358827 | − | 2.26966i | 0.000466009 | − | 0.00294761i | ||||
\(771\) | −146.845 | − | 341.512i | −0.190460 | − | 0.442947i | ||||
\(772\) | 829.367 | + | 268.965i | 1.07431 | + | 0.348400i | ||||
\(773\) | 193.239 | + | 193.239i | 0.249986 | + | 0.249986i | 0.820965 | − | 0.570979i | \(-0.193436\pi\) |
−0.570979 | + | 0.820965i | \(0.693436\pi\) | |||||||
\(774\) | −608.863 | − | 79.6194i | −0.786645 | − | 0.102867i | ||||
\(775\) | 1498.45i | 1.93348i | ||||||||
\(776\) | −223.437 | + | 439.431i | −0.287934 | + | 0.566277i | ||||
\(777\) | 236.092 | + | 94.1104i | 0.303851 | + | 0.121120i | ||||
\(778\) | −860.694 | + | 625.699i | −1.10629 | + | 0.804240i | ||||
\(779\) | 97.9143 | + | 97.9143i | 0.125692 | + | 0.125692i | ||||
\(780\) | −0.275558 | − | 2.97100i | −0.000353280 | − | 0.00380898i | ||||
\(781\) | 123.144 | + | 123.144i | 0.157675 | + | 0.157675i | ||||
\(782\) | −735.184 | − | 116.231i | −0.940133 | − | 0.148633i | ||||
\(783\) | −178.975 | − | 387.323i | −0.228575 | − | 0.494666i | ||||
\(784\) | 100.375 | + | 72.7550i | 0.128029 | + | 0.0927998i | ||||
\(785\) | − | 1.08961i | − | 0.00138804i | ||||||
\(786\) | 228.024 | + | 135.483i | 0.290107 | + | 0.172370i | ||||
\(787\) | 483.899 | + | 483.899i | 0.614865 | + | 0.614865i | 0.944210 | − | 0.329345i | \(-0.106828\pi\) |
−0.329345 | + | 0.944210i | \(0.606828\pi\) | |||||||
\(788\) | 632.320 | + | 1239.28i | 0.802437 | + | 1.57269i | ||||
\(789\) | 535.714 | − | 230.348i | 0.678979 | − | 0.291950i | ||||
\(790\) | 1.07076 | − | 0.778411i | 0.00135539 | − | 0.000985330i | ||||
\(791\) | −1317.91 | −1.66613 | ||||||||
\(792\) | 396.482 | − | 834.311i | 0.500609 | − | 1.05342i | ||||
\(793\) | 1211.12i | 1.52727i | ||||||||
\(794\) | −715.858 | + | 520.408i | −0.901585 | + | 0.655425i | ||||
\(795\) | −0.482320 | − | 1.12172i | −0.000606691 | − | 0.00141096i | ||||
\(796\) | 287.743 | − | 887.270i | 0.361486 | − | 1.11466i | ||||
\(797\) | 872.325 | − | 872.325i | 1.09451 | − | 1.09451i | 0.0994694 | − | 0.995041i | \(-0.468285\pi\) |
0.995041 | − | 0.0994694i | \(-0.0317145\pi\) | |||||||
\(798\) | −97.0626 | − | 57.6706i | −0.121632 | − | 0.0722690i | ||||
\(799\) | −119.741 | −0.149864 | ||||||||
\(800\) | −566.472 | − | 564.889i | −0.708090 | − | 0.706111i | ||||
\(801\) | 589.248 | − | 621.672i | 0.735640 | − | 0.776120i | ||||
\(802\) | −18.2211 | − | 2.88072i | −0.0227196 | − | 0.00359192i | ||||
\(803\) | 285.325 | − | 285.325i | 0.355324 | − | 0.355324i | ||||
\(804\) | 310.452 | + | 257.752i | 0.386135 | + | 0.320587i | ||||
\(805\) | 1.23932 | − | 1.23932i | 0.00153952 | − | 0.00153952i | ||||
\(806\) | −1729.14 | + | 1257.03i | −2.14533 | + | 1.55959i | ||||
\(807\) | 466.009 | − | 1169.06i | 0.577459 | − | 1.44865i | ||||
\(808\) | 518.346 | − | 168.902i | 0.641517 | − | 0.209037i | ||||
\(809\) | 146.162 | 0.180670 | 0.0903349 | − | 0.995911i | \(-0.471206\pi\) | ||||
0.0903349 | + | 0.995911i | \(0.471206\pi\) | |||||||
\(810\) | −1.42405 | − | 1.75332i | −0.00175809 | − | 0.00216459i | ||||
\(811\) | −375.179 | + | 375.179i | −0.462613 | + | 0.462613i | −0.899511 | − | 0.436898i | \(-0.856077\pi\) |
0.436898 | + | 0.899511i | \(0.356077\pi\) | |||||||
\(812\) | −184.518 | − | 361.636i | −0.227239 | − | 0.445365i | ||||
\(813\) | −766.800 | + | 329.711i | −0.943173 | + | 0.405549i | ||||
\(814\) | −52.8526 | + | 334.303i | −0.0649294 | + | 0.410692i | ||||
\(815\) | 1.39243i | 0.00170850i | ||||||||
\(816\) | −200.181 | + | 890.524i | −0.245320 | + | 1.09133i | ||||
\(817\) | −99.9449 | −0.122332 | ||||||||
\(818\) | 636.960 | + | 100.702i | 0.778680 | + | 0.123107i | ||||
\(819\) | 27.5925 | + | 1030.47i | 0.0336904 | + | 1.25820i | ||||
\(820\) | 1.19804 | + | 2.34803i | 0.00146102 | + | 0.00286345i | ||||
\(821\) | −671.154 | − | 671.154i | −0.817484 | − | 0.817484i | 0.168259 | − | 0.985743i | \(-0.446186\pi\) |
−0.985743 | + | 0.168259i | \(0.946186\pi\) | |||||||
\(822\) | 63.5293 | + | 249.546i | 0.0772862 | + | 0.303583i | ||||
\(823\) | − | 675.121i | − | 0.820317i | −0.912014 | − | 0.410159i | \(-0.865473\pi\) | ||
0.912014 | − | 0.410159i | \(-0.134527\pi\) | |||||||
\(824\) | 33.7778 | + | 17.1749i | 0.0409925 | + | 0.0208434i | ||||
\(825\) | −356.290 | + | 893.814i | −0.431867 | + | 1.08341i | ||||
\(826\) | 644.694 | + | 886.824i | 0.780502 | + | 1.07364i | ||||
\(827\) | 1052.16 | + | 1052.16i | 1.27226 | + | 1.27226i | 0.944901 | + | 0.327355i | \(0.106157\pi\) |
0.327355 | + | 0.944901i | \(0.393843\pi\) | |||||||
\(828\) | 618.796 | − | 336.901i | 0.747338 | − | 0.406885i | ||||
\(829\) | −95.3529 | − | 95.3529i | −0.115022 | − | 0.115022i | 0.647253 | − | 0.762275i | \(-0.275918\pi\) |
−0.762275 | + | 0.647253i | \(0.775918\pi\) | |||||||
\(830\) | 0.433130 | − | 2.73964i | 0.000521844 | − | 0.00330077i | ||||
\(831\) | −94.4964 | + | 237.060i | −0.113714 | + | 0.285271i | ||||
\(832\) | 176.647 | − | 1127.56i | 0.212317 | − | 1.35524i | ||||
\(833\) | 147.334i | 0.176872i | ||||||||
\(834\) | 343.545 | + | 204.120i | 0.411924 | + | 0.244749i | ||||
\(835\) | −0.849877 | − | 0.849877i | −0.00101782 | − | 0.00101782i | ||||
\(836\) | 46.3806 | − | 143.017i | 0.0554792 | − | 0.171073i | ||||
\(837\) | −558.790 | + | 1518.81i | −0.667610 | + | 1.81458i | ||||
\(838\) | 376.818 | + | 518.341i | 0.449664 | + | 0.618545i | ||||
\(839\) | −581.969 | −0.693646 | −0.346823 | − | 0.937931i | \(-0.612740\pi\) | ||||
−0.346823 | + | 0.937931i | \(0.612740\pi\) | |||||||
\(840\) | −1.41894 | − | 1.61430i | −0.00168922 | − | 0.00192178i | ||||
\(841\) | 591.273i | 0.703059i | ||||||||
\(842\) | 829.680 | + | 1141.28i | 0.985368 | + | 1.35544i | ||||
\(843\) | 864.413 | − | 371.684i | 1.02540 | − | 0.440906i | ||||
\(844\) | 21.8406 | + | 42.8053i | 0.0258775 | + | 0.0507172i | ||||
\(845\) | −1.46918 | + | 1.46918i | −0.00173867 | + | 0.00173867i | ||||
\(846\) | 89.8636 | − | 69.0791i | 0.106222 | − | 0.0816538i | ||||
\(847\) | −280.016 | −0.330598 | ||||||||
\(848\) | −73.5789 | − | 461.217i | −0.0867676 | − | 0.543888i | ||||
\(849\) | 450.839 | − | 1131.01i | 0.531024 | − | 1.33216i | ||||
\(850\) | 148.470 | − | 939.106i | 0.174671 | − | 1.10483i | ||||
\(851\) | −182.542 | + | 182.542i | −0.214503 | + | 0.214503i | ||||
\(852\) | 162.196 | − | 15.0435i | 0.190370 | − | 0.0176567i | ||||
\(853\) | 595.516 | − | 595.516i | 0.698143 | − | 0.698143i | −0.265866 | − | 0.964010i | \(-0.585658\pi\) |
0.964010 | + | 0.265866i | \(0.0856580\pi\) | |||||||
\(854\) | 512.982 | + | 705.644i | 0.600682 | + | 0.826281i | ||||
\(855\) | −0.266831 | − | 0.252914i | −0.000312083 | − | 0.000295806i | ||||
\(856\) | −440.459 | + | 143.523i | −0.514555 | + | 0.167667i | ||||
\(857\) | −731.802 | −0.853912 | −0.426956 | − | 0.904273i | \(-0.640414\pi\) | ||||
−0.426956 | + | 0.904273i | \(0.640414\pi\) | |||||||
\(858\) | −1330.30 | + | 338.669i | −1.55047 | + | 0.394719i | ||||
\(859\) | 303.614 | − | 303.614i | 0.353451 | − | 0.353451i | −0.507941 | − | 0.861392i | \(-0.669593\pi\) |
0.861392 | + | 0.507941i | \(0.169593\pi\) | |||||||
\(860\) | −1.80980 | − | 0.586921i | −0.00210442 | − | 0.000682467i | ||||
\(861\) | −359.738 | − | 836.632i | −0.417814 | − | 0.971698i | ||||
\(862\) | 893.469 | + | 141.255i | 1.03651 | + | 0.163869i | ||||
\(863\) | − | 1423.90i | − | 1.64995i | −0.565173 | − | 0.824973i | \(-0.691190\pi\) | ||
0.565173 | − | 0.824973i | \(-0.308810\pi\) | |||||||
\(864\) | −363.514 | − | 783.807i | −0.420734 | − | 0.907184i | ||||
\(865\) | 1.14845 | 0.00132769 | ||||||||
\(866\) | 118.542 | − | 749.801i | 0.136884 | − | 0.865821i | ||||
\(867\) | −200.062 | + | 86.0236i | −0.230753 | + | 0.0992198i | ||||
\(868\) | −475.030 | + | 1464.78i | −0.547270 | + | 1.68754i | ||||
\(869\) | −430.658 | − | 430.658i | −0.495579 | − | 0.495579i | ||||
\(870\) | −0.326159 | − | 1.28117i | −0.000374895 | − | 0.00147260i | ||||
\(871\) | − | 599.643i | − | 0.688453i | ||||||
\(872\) | 1295.55 | − | 422.152i | 1.48572 | − | 0.484119i | ||||
\(873\) | 381.521 | − | 402.515i | 0.437023 | − | 0.461071i | ||||
\(874\) | 92.7575 | − | 67.4319i | 0.106130 | − | 0.0771532i | ||||
\(875\) | 3.16616 | + | 3.16616i | 0.00361847 | + | 0.00361847i | ||||
\(876\) | −34.8558 | − | 375.807i | −0.0397897 | − | 0.429003i | ||||
\(877\) | −524.721 | − | 524.721i | −0.598314 | − | 0.598314i | 0.341550 | − | 0.939864i | \(-0.389048\pi\) |
−0.939864 | + | 0.341550i | \(0.889048\pi\) | |||||||
\(878\) | −1362.10 | − | 215.345i | −1.55137 | − | 0.245267i | ||||
\(879\) | 695.604 | + | 277.280i | 0.791358 | + | 0.315449i | ||||
\(880\) | 1.67972 | − | 2.31739i | 0.00190878 | − | 0.00263340i | ||||
\(881\) | 51.0313i | 0.0579243i | 0.999581 | + | 0.0289622i | \(0.00922023\pi\) | ||||
−0.999581 | + | 0.0289622i | \(0.990780\pi\) | |||||||
\(882\) | −84.9975 | − | 110.571i | −0.0963690 | − | 0.125364i | ||||
\(883\) | −935.183 | − | 935.183i | −1.05910 | − | 1.05910i | −0.998140 | − | 0.0609574i | \(-0.980585\pi\) |
−0.0609574 | − | 0.998140i | \(-0.519415\pi\) | |||||||
\(884\) | 1208.23 | − | 616.477i | 1.36678 | − | 0.697372i | ||||
\(885\) | 1.41029 | + | 3.27987i | 0.00159355 | + | 0.00370606i | ||||
\(886\) | −223.196 | + | 162.257i | −0.251914 | + | 0.183134i | ||||
\(887\) | 1077.88 | 1.21520 | 0.607598 | − | 0.794245i | \(-0.292133\pi\) | ||||
0.607598 | + | 0.794245i | \(0.292133\pi\) | |||||||
\(888\) | 209.000 | + | 237.774i | 0.235360 | + | 0.267763i | ||||
\(889\) | 347.766i | 0.391188i | ||||||||
\(890\) | 2.14669 | − | 1.56058i | 0.00241202 | − | 0.00175346i | ||||
\(891\) | −694.444 | + | 773.092i | −0.779398 | + | 0.867668i | ||||
\(892\) | 41.5840 | + | 13.4857i | 0.0466188 | + | 0.0151185i | ||||
\(893\) | 13.0452 | − | 13.0452i | 0.0146083 | − | 0.0146083i | ||||
\(894\) | 570.096 | − | 959.501i | 0.637691 | − | 1.07327i | ||||
\(895\) | −0.373214 | −0.000416999 | ||||||||
\(896\) | −374.666 | − | 731.776i | −0.418154 | − | 0.816715i | ||||
\(897\) | −972.616 | − | 387.702i | −1.08430 | − | 0.432220i | ||||
\(898\) | −1419.79 | − | 224.465i | −1.58106 | − | 0.249961i | ||||
\(899\) | −669.767 | + | 669.767i | −0.745013 | + | 0.745013i | ||||
\(900\) | 430.349 | + | 790.435i | 0.478165 | + | 0.878261i | ||||
\(901\) | 392.497 | − | 392.497i | 0.435624 | − | 0.435624i | ||||
\(902\) | 980.935 | − | 713.111i | 1.08751 | − | 0.790588i | ||||
\(903\) | 610.591 | + | 243.392i | 0.676180 | + | 0.269537i | ||||
\(904\) | −1463.25 | − | 744.019i | −1.61864 | − | 0.823030i | ||||
\(905\) | 0.483317 | 0.000534052 | ||||||||
\(906\) | −848.390 | + | 215.983i | −0.936412 | + | 0.238392i | ||||
\(907\) | −1091.36 | + | 1091.36i | −1.20327 | + | 1.20327i | −0.230101 | + | 0.973167i | \(0.573906\pi\) |
−0.973167 | + | 0.230101i | \(0.926094\pi\) | |||||||
\(908\) | −503.395 | + | 256.848i | −0.554400 | + | 0.282872i | ||||
\(909\) | −613.096 | + | 16.4167i | −0.674473 | + | 0.0180602i | ||||
\(910\) | −0.498767 | + | 3.15481i | −0.000548096 | + | 0.00346682i | ||||
\(911\) | 599.270i | 0.657816i | 0.944362 | + | 0.328908i | \(0.106681\pi\) | ||||
−0.944362 | + | 0.328908i | \(0.893319\pi\) | |||||||
\(912\) | −75.2095 | − | 118.827i | −0.0824665 | − | 0.130293i | ||||
\(913\) | −1276.08 | −1.39768 | ||||||||
\(914\) | 966.044 | + | 152.729i | 1.05694 | + | 0.167100i | ||||
\(915\) | 1.12216 | + | 2.60978i | 0.00122641 | + | 0.00285222i | ||||
\(916\) | 1168.29 | − | 596.100i | 1.27543 | − | 0.650764i | ||||
\(917\) | −200.766 | − | 200.766i | −0.218937 | − | 0.218937i | ||||
\(918\) | 500.691 | − | 896.497i | 0.545415 | − | 0.976577i | ||||
\(919\) | − | 1271.46i | − | 1.38353i | −0.722123 | − | 0.691765i | \(-0.756834\pi\) | ||
0.722123 | − | 0.691765i | \(-0.243166\pi\) | |||||||
\(920\) | 2.07564 | − | 0.676345i | 0.00225614 | − | 0.000735157i | ||||
\(921\) | 252.190 | + | 100.528i | 0.273822 | + | 0.109150i | ||||
\(922\) | 763.521 | + | 1050.28i | 0.828114 | + | 1.13913i | ||||
\(923\) | −171.170 | − | 171.170i | −0.185449 | − | 0.185449i | ||||
\(924\) | −631.636 | + | 760.782i | −0.683589 | + | 0.823357i | ||||
\(925\) | −233.175 | − | 233.175i | −0.252081 | − | 0.252081i | ||||
\(926\) | 183.520 | − | 1160.80i | 0.198186 | − | 1.25357i | ||||
\(927\) | −30.9402 | − | 29.3264i | −0.0333767 | − | 0.0316358i | ||||
\(928\) | −0.707591 | − | 505.688i | −0.000762491 | − | 0.544922i | ||||
\(929\) | 1274.81i | 1.37224i | 0.727488 | + | 0.686120i | \(0.240688\pi\) | ||||
−0.727488 | + | 0.686120i | \(0.759312\pi\) | |||||||
\(930\) | −2.56132 | + | 4.31083i | −0.00275411 | + | 0.00463530i | ||||
\(931\) | −16.0513 | − | 16.0513i | −0.0172409 | − | 0.0172409i | ||||
\(932\) | 1204.79 | + | 390.715i | 1.29269 | + | 0.419222i | ||||
\(933\) | 1467.00 | − | 630.785i | 1.57235 | − | 0.676083i | ||||
\(934\) | 148.865 | + | 204.774i | 0.159384 | + | 0.219244i | ||||
\(935\) | 3.40156 | 0.00363803 | ||||||||
\(936\) | −551.108 | + | 1159.69i | −0.588791 | + | 1.23898i | ||||
\(937\) | − | 416.118i | − | 0.444096i | −0.975036 | − | 0.222048i | \(-0.928726\pi\) | ||
0.975036 | − | 0.222048i | \(-0.0712742\pi\) | |||||||
\(938\) | −253.984 | − | 349.373i | −0.270772 | − | 0.372466i | ||||
\(939\) | 220.035 | + | 511.728i | 0.234329 | + | 0.544971i | ||||
\(940\) | 0.312831 | − | 0.159616i | 0.000332798 | − | 0.000169804i | ||||
\(941\) | −59.8023 | + | 59.8023i | −0.0635518 | + | 0.0635518i | −0.738168 | − | 0.674617i | \(-0.764309\pi\) |
0.674617 | + | 0.738168i | \(0.264309\pi\) | |||||||
\(942\) | −239.506 | + | 403.100i | −0.254252 | + | 0.427920i | ||||
\(943\) | 925.012 | 0.980925 | ||||||||
\(944\) | 215.143 | + | 1348.59i | 0.227905 | + | 1.42859i | ||||
\(945\) | 1.01423 | + | 2.19493i | 0.00107326 | + | 0.00232267i | ||||
\(946\) | −136.689 | + | 864.589i | −0.144492 | + | 0.913942i | ||||
\(947\) | 438.459 | − | 438.459i | 0.462998 | − | 0.462998i | −0.436639 | − | 0.899637i | \(-0.643831\pi\) |
0.899637 | + | 0.436639i | \(0.143831\pi\) | |||||||
\(948\) | −567.227 | + | 52.6099i | −0.598341 | + | 0.0554957i | ||||
\(949\) | −396.600 | + | 396.600i | −0.417913 | + | 0.417913i | ||||
\(950\) | 86.1359 | + | 118.486i | 0.0906693 | + | 0.124722i | ||||
\(951\) | −264.125 | + | 662.602i | −0.277733 | + | 0.696742i | ||||
\(952\) | 442.845 | − | 870.938i | 0.465173 | − | 0.914851i | ||||
\(953\) | −874.202 | −0.917316 | −0.458658 | − | 0.888613i | \(-0.651670\pi\) | ||||
−0.458658 | + | 0.888613i | \(0.651670\pi\) | |||||||
\(954\) | −68.1291 | + | 520.995i | −0.0714141 | + | 0.546116i | ||||
\(955\) | −1.54219 | + | 1.54219i | −0.00161486 | + | 0.00161486i | ||||
\(956\) | 472.217 | − | 1456.11i | 0.493951 | − | 1.52313i | ||||
\(957\) | −558.763 | + | 240.259i | −0.583869 | + | 0.251054i | ||||
\(958\) | 867.804 | + | 137.198i | 0.905850 | + | 0.143213i | ||||
\(959\) | − | 275.649i | − | 0.287434i | ||||||
\(960\) | −0.664089 | − | 2.59339i | −0.000691760 | − | 0.00270144i | ||||
\(961\) | 2631.62 | 2.73842 | ||||||||
\(962\) | 73.4647 | − | 464.680i | 0.0763667 | − | 0.483035i | ||||
\(963\) | 520.973 | − | 13.9499i | 0.540989 | − | 0.0144859i | ||||
\(964\) | 347.449 | + | 112.678i | 0.360424 | + | 0.116886i | ||||
\(965\) | −2.14904 | − | 2.14904i | −0.00222698 | − | 0.00222698i | ||||
\(966\) | −730.895 | + | 186.071i | −0.756620 | + | 0.192620i | ||||
\(967\) | 78.0123i | 0.0806746i | 0.999186 | + | 0.0403373i | \(0.0128432\pi\) | ||||
−0.999186 | + | 0.0403373i | \(0.987157\pi\) | |||||||
\(968\) | −310.898 | − | 158.082i | −0.321175 | − | 0.163307i | ||||
\(969\) | 61.8865 | − | 155.253i | 0.0638663 | − | 0.160220i | ||||
\(970\) | 1.38992 | − | 1.01043i | 0.00143291 | − | 0.00104168i | ||||
\(971\) | 545.451 | + | 545.451i | 0.561742 | + | 0.561742i | 0.929802 | − | 0.368060i | \(-0.119978\pi\) |
−0.368060 | + | 0.929802i | \(0.619978\pi\) | |||||||
\(972\) | 141.433 | + | 961.655i | 0.145507 | + | 0.989357i | ||||
\(973\) | −302.477 | − | 302.477i | −0.310870 | − | 0.310870i | ||||
\(974\) | 987.172 | + | 156.069i | 1.01352 | + | 0.160236i | ||||
\(975\) | 495.241 | − | 1242.40i | 0.507939 | − | 1.27425i | ||||
\(976\) | 171.189 | + | 1073.07i | 0.175398 | + | 1.09945i | ||||
\(977\) | − | 1711.35i | − | 1.75164i | −0.482640 | − | 0.875819i | \(-0.660322\pi\) | ||
0.482640 | − | 0.875819i | \(-0.339678\pi\) | |||||||
\(978\) | 306.067 | − | 515.127i | 0.312952 | − | 0.526715i | ||||
\(979\) | −863.396 | − | 863.396i | −0.881916 | − | 0.881916i | ||||
\(980\) | −0.196397 | − | 0.384918i | −0.000200405 | − | 0.000392774i | ||||
\(981\) | −1532.37 | + | 41.0318i | −1.56205 | + | 0.0418265i | ||||
\(982\) | 821.877 | − | 597.480i | 0.836942 | − | 0.608432i | ||||
\(983\) | −1349.18 | −1.37252 | −0.686259 | − | 0.727358i | \(-0.740748\pi\) | ||||
−0.686259 | + | 0.727358i | \(0.740748\pi\) | |||||||
\(984\) | 72.9045 | − | 1131.99i | 0.0740899 | − | 1.15039i | ||||
\(985\) | − | 4.84965i | − | 0.00492351i | ||||||
\(986\) | 486.117 | − | 353.393i | 0.493020 | − | 0.358411i | ||||
\(987\) | −111.465 | + | 47.9283i | −0.112934 | + | 0.0485596i | ||||
\(988\) | −64.4688 | + | 198.793i | −0.0652518 | + | 0.201207i | ||||
\(989\) | −472.098 | + | 472.098i | −0.477349 | + | 0.477349i | ||||
\(990\) | −2.55281 | + | 1.96237i | −0.00257859 | + | 0.00198219i | ||||
\(991\) | −923.093 | −0.931476 | −0.465738 | − | 0.884923i | \(-0.654211\pi\) | ||||
−0.465738 | + | 0.884923i | \(0.654211\pi\) | |||||||
\(992\) | −1354.35 | + | 1358.15i | −1.36528 | + | 1.36910i | ||||
\(993\) | −379.671 | + | 952.469i | −0.382347 | + | 0.959183i | ||||
\(994\) | −172.230 | − | 27.2292i | −0.173270 | − | 0.0273935i | ||||
\(995\) | −2.29907 | + | 2.29907i | −0.00231063 | + | 0.00231063i | ||||
\(996\) | −762.431 | + | 918.319i | −0.765493 | + | 0.922007i | ||||
\(997\) | 371.389 | − | 371.389i | 0.372507 | − | 0.372507i | −0.495883 | − | 0.868390i | \(-0.665155\pi\) |
0.868390 | + | 0.495883i | \(0.165155\pi\) | |||||||
\(998\) | −147.489 | + | 107.220i | −0.147785 | + | 0.107435i | ||||
\(999\) | −149.389 | − | 323.296i | −0.149538 | − | 0.323620i |
(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 | 48.3.i.b.29.6 | yes | 20 | |
3.2 | odd | 2 | inner | 48.3.i.b.29.5 | yes | 20 | |
4.3 | odd | 2 | 192.3.i.b.17.2 | 20 | |||
8.3 | odd | 2 | 384.3.i.c.161.9 | 20 | |||
8.5 | even | 2 | 384.3.i.d.161.2 | 20 | |||
12.11 | even | 2 | 192.3.i.b.17.6 | 20 | |||
16.3 | odd | 4 | 384.3.i.c.353.5 | 20 | |||
16.5 | even | 4 | inner | 48.3.i.b.5.5 | ✓ | 20 | |
16.11 | odd | 4 | 192.3.i.b.113.6 | 20 | |||
16.13 | even | 4 | 384.3.i.d.353.6 | 20 | |||
24.5 | odd | 2 | 384.3.i.d.161.6 | 20 | |||
24.11 | even | 2 | 384.3.i.c.161.5 | 20 | |||
48.5 | odd | 4 | inner | 48.3.i.b.5.6 | yes | 20 | |
48.11 | even | 4 | 192.3.i.b.113.2 | 20 | |||
48.29 | odd | 4 | 384.3.i.d.353.2 | 20 | |||
48.35 | even | 4 | 384.3.i.c.353.9 | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
48.3.i.b.5.5 | ✓ | 20 | 16.5 | even | 4 | inner | |
48.3.i.b.5.6 | yes | 20 | 48.5 | odd | 4 | inner | |
48.3.i.b.29.5 | yes | 20 | 3.2 | odd | 2 | inner | |
48.3.i.b.29.6 | yes | 20 | 1.1 | even | 1 | trivial | |
192.3.i.b.17.2 | 20 | 4.3 | odd | 2 | |||
192.3.i.b.17.6 | 20 | 12.11 | even | 2 | |||
192.3.i.b.113.2 | 20 | 48.11 | even | 4 | |||
192.3.i.b.113.6 | 20 | 16.11 | odd | 4 | |||
384.3.i.c.161.5 | 20 | 24.11 | even | 2 | |||
384.3.i.c.161.9 | 20 | 8.3 | odd | 2 | |||
384.3.i.c.353.5 | 20 | 16.3 | odd | 4 | |||
384.3.i.c.353.9 | 20 | 48.35 | even | 4 | |||
384.3.i.d.161.2 | 20 | 8.5 | even | 2 | |||
384.3.i.d.161.6 | 20 | 24.5 | odd | 2 | |||
384.3.i.d.353.2 | 20 | 48.29 | odd | 4 | |||
384.3.i.d.353.6 | 20 | 16.13 | even | 4 |