Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [336,2,Mod(125,336)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(336, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 3, 2, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("336.125");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 336 = 2^{4} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 336.y (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: | \(2.68297350792\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(60\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 125.6 | ||
Character | \(\chi\) | \(=\) | 336.125 |
Dual form | 336.2.y.a.293.6 |
$q$-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 \(\left(\mathbb{Z}/336\mathbb{Z}\right)^\times\).
\(n\) | \(85\) | \(113\) | \(127\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.37255 | − | 0.340756i | −0.970537 | − | 0.240951i | ||||
\(3\) | 1.24999 | + | 1.19897i | 0.721684 | + | 0.692223i | ||||
\(4\) | 1.76777 | + | 0.935408i | 0.883885 | + | 0.467704i | ||||
\(5\) | −2.22287 | + | 2.22287i | −0.994099 | + | 0.994099i | −0.999983 | − | 0.00588320i | \(-0.998127\pi\) |
0.00588320 | + | 0.999983i | \(0.498127\pi\) | |||||||
\(6\) | −1.30712 | − | 2.07158i | −0.533629 | − | 0.845719i | ||||
\(7\) | −1.16923 | − | 2.37337i | −0.441928 | − | 0.897050i | ||||
\(8\) | −2.10760 | − | 1.88627i | −0.745149 | − | 0.666898i | ||||
\(9\) | 0.124963 | + | 2.99740i | 0.0416542 | + | 0.999132i | ||||
\(10\) | 3.80846 | − | 2.29354i | 1.20434 | − | 0.725281i | ||||
\(11\) | 2.89998 | + | 2.89998i | 0.874378 | + | 0.874378i | 0.992946 | − | 0.118568i | \(-0.0378304\pi\) |
−0.118568 | + | 0.992946i | \(0.537830\pi\) | |||||||
\(12\) | 1.08818 | + | 3.28875i | 0.314130 | + | 0.949380i | ||||
\(13\) | −2.85803 | + | 2.85803i | −0.792676 | + | 0.792676i | −0.981928 | − | 0.189252i | \(-0.939394\pi\) |
0.189252 | + | 0.981928i | \(0.439394\pi\) | |||||||
\(14\) | 0.796083 | + | 3.65599i | 0.212762 | + | 0.977104i | ||||
\(15\) | −5.44373 | + | 0.113426i | −1.40556 | + | 0.0292866i | ||||
\(16\) | 2.25002 | + | 3.30717i | 0.562505 | + | 0.826794i | ||||
\(17\) | −3.18041 | −0.771364 | −0.385682 | − | 0.922632i | \(-0.626034\pi\) | ||||
−0.385682 | + | 0.922632i | \(0.626034\pi\) | |||||||
\(18\) | 0.849865 | − | 4.15665i | 0.200315 | − | 0.979732i | ||||
\(19\) | 1.73347 | − | 1.73347i | 0.397684 | − | 0.397684i | −0.479731 | − | 0.877415i | \(-0.659266\pi\) |
0.877415 | + | 0.479731i | \(0.159266\pi\) | |||||||
\(20\) | −6.00883 | + | 1.85023i | −1.34361 | + | 0.413725i | ||||
\(21\) | 1.38406 | − | 4.36857i | 0.302027 | − | 0.953299i | ||||
\(22\) | −2.99217 | − | 4.96855i | −0.637934 | − | 1.05930i | ||||
\(23\) | −7.79850 | −1.62610 | −0.813050 | − | 0.582194i | \(-0.802194\pi\) | ||||
−0.813050 | + | 0.582194i | \(0.802194\pi\) | |||||||
\(24\) | −0.372911 | − | 4.88477i | −0.0761202 | − | 0.997099i | ||||
\(25\) | − | 4.88234i | − | 0.976468i | ||||||
\(26\) | 4.89668 | − | 2.94889i | 0.960318 | − | 0.578325i | ||||
\(27\) | −3.43757 | + | 3.89655i | −0.661561 | + | 0.749891i | ||||
\(28\) | 0.153140 | − | 5.28929i | 0.0289407 | − | 0.999581i | ||||
\(29\) | 1.10738 | − | 1.10738i | 0.205635 | − | 0.205635i | −0.596774 | − | 0.802409i | \(-0.703551\pi\) |
0.802409 | + | 0.596774i | \(0.203551\pi\) | |||||||
\(30\) | 7.51042 | + | 1.69930i | 1.37121 | + | 0.310249i | ||||
\(31\) | 9.18848i | 1.65030i | 0.564914 | + | 0.825150i | \(0.308909\pi\) | ||||
−0.564914 | + | 0.825150i | \(0.691091\pi\) | |||||||
\(32\) | −1.96132 | − | 5.30596i | −0.346716 | − | 0.937970i | ||||
\(33\) | 0.147977 | + | 7.10194i | 0.0257595 | + | 1.23629i | ||||
\(34\) | 4.36527 | + | 1.08375i | 0.748637 | + | 0.185861i | ||||
\(35\) | 7.87476 | + | 2.67665i | 1.33108 | + | 0.452437i | ||||
\(36\) | −2.58288 | + | 5.41560i | −0.430481 | + | 0.902600i | ||||
\(37\) | 1.36244 | − | 1.36244i | 0.223984 | − | 0.223984i | −0.586190 | − | 0.810174i | \(-0.699373\pi\) |
0.810174 | + | 0.586190i | \(0.199373\pi\) | |||||||
\(38\) | −2.96995 | + | 1.78857i | −0.481790 | + | 0.290145i | ||||
\(39\) | −6.99921 | + | 0.145837i | −1.12077 | + | 0.0233525i | ||||
\(40\) | 8.87787 | − | 0.491988i | 1.40372 | − | 0.0777902i | ||||
\(41\) | − | 4.51251i | − | 0.704735i | −0.935862 | − | 0.352368i | \(-0.885377\pi\) | ||
0.935862 | − | 0.352368i | \(-0.114623\pi\) | |||||||
\(42\) | −3.38831 | + | 5.52443i | −0.522827 | + | 0.852439i | ||||
\(43\) | −3.61139 | + | 3.61139i | −0.550732 | + | 0.550732i | −0.926652 | − | 0.375920i | \(-0.877327\pi\) |
0.375920 | + | 0.926652i | \(0.377327\pi\) | |||||||
\(44\) | 2.41383 | + | 7.83917i | 0.363899 | + | 1.18180i | ||||
\(45\) | −6.94061 | − | 6.38506i | −1.03465 | − | 0.951828i | ||||
\(46\) | 10.7038 | + | 2.65739i | 1.57819 | + | 0.391811i | ||||
\(47\) | 9.27141 | 1.35237 | 0.676187 | − | 0.736730i | \(-0.263631\pi\) | ||||
0.676187 | + | 0.736730i | \(0.263631\pi\) | |||||||
\(48\) | −1.15268 | + | 6.83164i | −0.166375 | + | 0.986063i | ||||
\(49\) | −4.26579 | + | 5.55004i | −0.609399 | + | 0.792864i | ||||
\(50\) | −1.66369 | + | 6.70124i | −0.235281 | + | 0.947698i | ||||
\(51\) | −3.97549 | − | 3.81321i | −0.556680 | − | 0.533956i | ||||
\(52\) | −7.72578 | + | 2.37892i | −1.07137 | + | 0.329897i | ||||
\(53\) | 4.39447 | + | 4.39447i | 0.603627 | + | 0.603627i | 0.941273 | − | 0.337646i | \(-0.109631\pi\) |
−0.337646 | + | 0.941273i | \(0.609631\pi\) | |||||||
\(54\) | 6.04600 | − | 4.17682i | 0.822757 | − | 0.568393i | ||||
\(55\) | −12.8926 | −1.73844 | ||||||||
\(56\) | −2.01255 | + | 7.20761i | −0.268938 | + | 0.963157i | ||||
\(57\) | 4.24518 | − | 0.0884533i | 0.562288 | − | 0.0117159i | ||||
\(58\) | −1.89728 | + | 1.14258i | −0.249125 | + | 0.150029i | ||||
\(59\) | 0.471265 | − | 0.471265i | 0.0613534 | − | 0.0613534i | −0.675764 | − | 0.737118i | \(-0.736186\pi\) |
0.737118 | + | 0.675764i | \(0.236186\pi\) | |||||||
\(60\) | −9.72936 | − | 4.89160i | −1.25605 | − | 0.631502i | ||||
\(61\) | 6.41637 | − | 6.41637i | 0.821532 | − | 0.821532i | −0.164796 | − | 0.986328i | \(-0.552697\pi\) |
0.986328 | + | 0.164796i | \(0.0526966\pi\) | |||||||
\(62\) | 3.13103 | − | 12.6116i | 0.397642 | − | 1.60168i | ||||
\(63\) | 6.96783 | − | 3.80123i | 0.877864 | − | 0.478910i | ||||
\(64\) | 0.883963 | + | 7.95101i | 0.110495 | + | 0.993877i | ||||
\(65\) | − | 12.7061i | − | 1.57600i | ||||||
\(66\) | 2.21693 | − | 9.79816i | 0.272885 | − | 1.20607i | ||||
\(67\) | 9.87337 | + | 9.87337i | 1.20622 | + | 1.20622i | 0.972240 | + | 0.233984i | \(0.0751764\pi\) |
0.233984 | + | 0.972240i | \(0.424824\pi\) | |||||||
\(68\) | −5.62224 | − | 2.97499i | −0.681797 | − | 0.360770i | ||||
\(69\) | −9.74806 | − | 9.35013i | −1.17353 | − | 1.12562i | ||||
\(70\) | −9.89639 | − | 6.35721i | −1.18285 | − | 0.759832i | ||||
\(71\) | 13.3355 | 1.58264 | 0.791318 | − | 0.611405i | \(-0.209395\pi\) | ||||
0.791318 | + | 0.611405i | \(0.209395\pi\) | |||||||
\(72\) | 5.39053 | − | 6.55303i | 0.635280 | − | 0.772282i | ||||
\(73\) | 8.05789 | 0.943104 | 0.471552 | − | 0.881838i | \(-0.343694\pi\) | ||||
0.471552 | + | 0.881838i | \(0.343694\pi\) | |||||||
\(74\) | −2.33428 | + | 1.40576i | −0.271355 | + | 0.163416i | ||||
\(75\) | 5.85376 | − | 6.10289i | 0.675933 | − | 0.704701i | ||||
\(76\) | 4.68587 | − | 1.44287i | 0.537506 | − | 0.165509i | ||||
\(77\) | 3.49199 | − | 10.2735i | 0.397949 | − | 1.17077i | ||||
\(78\) | 9.65643 | + | 2.18486i | 1.09338 | + | 0.247386i | ||||
\(79\) | −1.71738 | −0.193220 | −0.0966101 | − | 0.995322i | \(-0.530800\pi\) | ||||
−0.0966101 | + | 0.995322i | \(0.530800\pi\) | |||||||
\(80\) | −12.3529 | − | 2.34992i | −1.38110 | − | 0.262729i | ||||
\(81\) | −8.96877 | + | 0.749126i | −0.996530 | + | 0.0832362i | ||||
\(82\) | −1.53767 | + | 6.19363i | −0.169807 | + | 0.683972i | ||||
\(83\) | −2.17510 | − | 2.17510i | −0.238748 | − | 0.238748i | 0.577583 | − | 0.816332i | \(-0.303996\pi\) |
−0.816332 | + | 0.577583i | \(0.803996\pi\) | |||||||
\(84\) | 6.53310 | − | 6.42796i | 0.712819 | − | 0.701348i | ||||
\(85\) | 7.06966 | − | 7.06966i | 0.766812 | − | 0.766812i | ||||
\(86\) | 6.18741 | − | 3.72620i | 0.667206 | − | 0.401807i | ||||
\(87\) | 2.71192 | − | 0.0565061i | 0.290749 | − | 0.00605809i | ||||
\(88\) | −0.641853 | − | 11.5822i | −0.0684217 | − | 1.23466i | ||||
\(89\) | − | 1.76913i | − | 0.187528i | −0.995594 | − | 0.0937638i | \(-0.970110\pi\) | ||
0.995594 | − | 0.0937638i | \(-0.0298899\pi\) | |||||||
\(90\) | 7.35056 | + | 11.1288i | 0.774817 | + | 1.17308i | ||||
\(91\) | 10.1249 | + | 3.44148i | 1.06138 | + | 0.360765i | ||||
\(92\) | −13.7860 | − | 7.29478i | −1.43728 | − | 0.760533i | ||||
\(93\) | −11.0167 | + | 11.4855i | −1.14238 | + | 1.19099i | ||||
\(94\) | −12.7254 | − | 3.15929i | −1.31253 | − | 0.325856i | ||||
\(95\) | 7.70655i | 0.790675i | ||||||||
\(96\) | 3.91003 | − | 8.98397i | 0.399066 | − | 0.916922i | ||||
\(97\) | − | 3.24825i | − | 0.329810i | −0.986309 | − | 0.164905i | \(-0.947268\pi\) | ||
0.986309 | − | 0.164905i | \(-0.0527317\pi\) | |||||||
\(98\) | 7.74622 | − | 6.16410i | 0.782486 | − | 0.622668i | ||||
\(99\) | −8.33001 | + | 9.05479i | −0.837197 | + | 0.910040i | ||||
\(100\) | 4.56698 | − | 8.63085i | 0.456698 | − | 0.863085i | ||||
\(101\) | −3.17797 | + | 3.17797i | −0.316220 | + | 0.316220i | −0.847313 | − | 0.531093i | \(-0.821781\pi\) |
0.531093 | + | 0.847313i | \(0.321781\pi\) | |||||||
\(102\) | 4.15718 | + | 6.58848i | 0.411622 | + | 0.652357i | ||||
\(103\) | 0.232663 | 0.0229249 | 0.0114625 | − | 0.999934i | \(-0.496351\pi\) | ||||
0.0114625 | + | 0.999934i | \(0.496351\pi\) | |||||||
\(104\) | 11.4146 | − | 0.632568i | 1.11930 | − | 0.0620284i | ||||
\(105\) | 6.63418 | + | 12.7874i | 0.647430 | + | 1.24792i | ||||
\(106\) | −4.53417 | − | 7.52906i | −0.440398 | − | 0.731287i | ||||
\(107\) | 3.24753 | + | 3.24753i | 0.313950 | + | 0.313950i | 0.846438 | − | 0.532488i | \(-0.178743\pi\) |
−0.532488 | + | 0.846438i | \(0.678743\pi\) | |||||||
\(108\) | −9.72170 | + | 3.67267i | −0.935471 | + | 0.353403i | ||||
\(109\) | −6.57591 | − | 6.57591i | −0.629858 | − | 0.629858i | 0.318174 | − | 0.948032i | \(-0.396930\pi\) |
−0.948032 | + | 0.318174i | \(0.896930\pi\) | |||||||
\(110\) | 17.6957 | + | 4.39323i | 1.68722 | + | 0.418878i | ||||
\(111\) | 3.33657 | − | 0.0695213i | 0.316693 | − | 0.00659867i | ||||
\(112\) | 5.21836 | − | 9.20699i | 0.493089 | − | 0.869979i | ||||
\(113\) | − | 2.85308i | − | 0.268395i | −0.990955 | − | 0.134197i | \(-0.957154\pi\) | ||
0.990955 | − | 0.134197i | \(-0.0428456\pi\) | |||||||
\(114\) | −5.85685 | − | 1.32517i | −0.548545 | − | 0.124113i | ||||
\(115\) | 17.3351 | − | 17.3351i | 1.61650 | − | 1.61650i | ||||
\(116\) | 2.99344 | − | 0.921740i | 0.277934 | − | 0.0855814i | ||||
\(117\) | −8.92381 | − | 8.20951i | −0.825006 | − | 0.758970i | ||||
\(118\) | −0.807419 | + | 0.486246i | −0.0743290 | + | 0.0447626i | ||||
\(119\) | 3.71864 | + | 7.54831i | 0.340887 | + | 0.691952i | ||||
\(120\) | 11.6872 | + | 10.0293i | 1.06689 | + | 0.915544i | ||||
\(121\) | 5.81980i | 0.529073i | ||||||||
\(122\) | −10.9932 | + | 6.62035i | −0.995276 | + | 0.599378i | ||||
\(123\) | 5.41034 | − | 5.64060i | 0.487834 | − | 0.508596i | ||||
\(124\) | −8.59498 | + | 16.2431i | −0.771852 | + | 1.45868i | ||||
\(125\) | −0.261548 | − | 0.261548i | −0.0233935 | − | 0.0233935i | ||||
\(126\) | −10.8590 | + | 2.84304i | −0.967394 | + | 0.253278i | ||||
\(127\) | 0.963414 | 0.0854891 | 0.0427446 | − | 0.999086i | \(-0.486390\pi\) | ||||
0.0427446 | + | 0.999086i | \(0.486390\pi\) | |||||||
\(128\) | 1.49608 | − | 11.2144i | 0.132236 | − | 0.991218i | ||||
\(129\) | −8.84415 | + | 0.184278i | −0.778684 | + | 0.0162248i | ||||
\(130\) | −4.32969 | + | 17.4397i | −0.379739 | + | 1.52956i | ||||
\(131\) | 7.55453 | + | 7.55453i | 0.660043 | + | 0.660043i | 0.955390 | − | 0.295347i | \(-0.0954354\pi\) |
−0.295347 | + | 0.955390i | \(0.595435\pi\) | |||||||
\(132\) | −6.38162 | + | 12.6930i | −0.555449 | + | 1.10478i | ||||
\(133\) | −6.14098 | − | 2.08734i | −0.532491 | − | 0.180995i | ||||
\(134\) | −10.1873 | − | 16.9161i | −0.880045 | − | 1.46133i | ||||
\(135\) | −1.02025 | − | 16.3028i | −0.0878088 | − | 1.40312i | ||||
\(136\) | 6.70304 | + | 5.99912i | 0.574781 | + | 0.514420i | ||||
\(137\) | −0.360233 | −0.0307768 | −0.0153884 | − | 0.999882i | \(-0.504898\pi\) | ||||
−0.0153884 | + | 0.999882i | \(0.504898\pi\) | |||||||
\(138\) | 10.1936 | + | 16.1552i | 0.867733 | + | 1.37522i | ||||
\(139\) | −7.40390 | − | 7.40390i | −0.627991 | − | 0.627991i | 0.319571 | − | 0.947562i | \(-0.396461\pi\) |
−0.947562 | + | 0.319571i | \(0.896461\pi\) | |||||||
\(140\) | 11.4170 | + | 12.0978i | 0.964913 | + | 1.02245i | ||||
\(141\) | 11.5892 | + | 11.1161i | 0.975986 | + | 0.936145i | ||||
\(142\) | −18.3036 | − | 4.54417i | −1.53601 | − | 0.381338i | ||||
\(143\) | −16.5765 | −1.38620 | ||||||||
\(144\) | −9.63174 | + | 7.15748i | −0.802645 | + | 0.596457i | ||||
\(145\) | 4.92313i | 0.408844i | ||||||||
\(146\) | −11.0598 | − | 2.74578i | −0.915318 | − | 0.227242i | ||||
\(147\) | −11.9865 | + | 1.82297i | −0.988632 | + | 0.150356i | ||||
\(148\) | 3.68293 | − | 1.13405i | 0.302735 | − | 0.0932180i | ||||
\(149\) | 8.67794 | + | 8.67794i | 0.710925 | + | 0.710925i | 0.966729 | − | 0.255804i | \(-0.0823401\pi\) |
−0.255804 | + | 0.966729i | \(0.582340\pi\) | |||||||
\(150\) | −10.1142 | + | 6.38179i | −0.825817 | + | 0.521071i | ||||
\(151\) | 7.62482i | 0.620499i | 0.950655 | + | 0.310250i | \(0.100413\pi\) | ||||
−0.950655 | + | 0.310250i | \(0.899587\pi\) | |||||||
\(152\) | −6.92324 | + | 0.383667i | −0.561549 | + | 0.0311195i | ||||
\(153\) | −0.397433 | − | 9.53296i | −0.0321306 | − | 0.770694i | ||||
\(154\) | −8.29368 | + | 12.9109i | −0.668323 | + | 1.04039i | ||||
\(155\) | −20.4248 | − | 20.4248i | −1.64056 | − | 1.64056i | ||||
\(156\) | −12.5094 | − | 6.28931i | −1.00155 | − | 0.503548i | ||||
\(157\) | 3.32883 | − | 3.32883i | 0.265670 | − | 0.265670i | −0.561683 | − | 0.827353i | \(-0.689846\pi\) |
0.827353 | + | 0.561683i | \(0.189846\pi\) | |||||||
\(158\) | 2.35718 | + | 0.585208i | 0.187527 | + | 0.0465567i | ||||
\(159\) | 0.224236 | + | 10.7619i | 0.0177831 | + | 0.853472i | ||||
\(160\) | 16.1543 | + | 7.43472i | 1.27711 | + | 0.587766i | ||||
\(161\) | 9.11825 | + | 18.5087i | 0.718619 | + | 1.45869i | ||||
\(162\) | 12.5653 | + | 2.02796i | 0.987225 | + | 0.159331i | ||||
\(163\) | 6.16429 | + | 6.16429i | 0.482825 | + | 0.482825i | 0.906033 | − | 0.423208i | \(-0.139096\pi\) |
−0.423208 | + | 0.906033i | \(0.639096\pi\) | |||||||
\(164\) | 4.22104 | − | 7.97707i | 0.329608 | − | 0.622905i | ||||
\(165\) | −16.1156 | − | 15.4578i | −1.25460 | − | 1.20339i | ||||
\(166\) | 2.24425 | + | 3.72661i | 0.174188 | + | 0.289241i | ||||
\(167\) | 13.1283i | 1.01590i | 0.861387 | + | 0.507949i | \(0.169596\pi\) | ||||
−0.861387 | + | 0.507949i | \(0.830404\pi\) | |||||||
\(168\) | −11.1573 | + | 6.59648i | −0.860808 | + | 0.508929i | ||||
\(169\) | − | 3.33672i | − | 0.256671i | ||||||
\(170\) | −12.1125 | + | 7.29441i | −0.928984 | + | 0.559455i | ||||
\(171\) | 5.41250 | + | 4.97926i | 0.413904 | + | 0.380774i | ||||
\(172\) | −9.76224 | + | 3.00599i | −0.744364 | + | 0.229204i | ||||
\(173\) | 6.31691 | + | 6.31691i | 0.480266 | + | 0.480266i | 0.905217 | − | 0.424951i | \(-0.139709\pi\) |
−0.424951 | + | 0.905217i | \(0.639709\pi\) | |||||||
\(174\) | −3.74150 | − | 0.846549i | −0.283642 | − | 0.0641767i | ||||
\(175\) | −11.5876 | + | 5.70858i | −0.875941 | + | 0.431528i | ||||
\(176\) | −3.06572 | + | 16.1158i | −0.231088 | + | 1.21477i | ||||
\(177\) | 1.15411 | − | 0.0240472i | 0.0867480 | − | 0.00180750i | ||||
\(178\) | −0.602843 | + | 2.42822i | −0.0451850 | + | 0.182003i | ||||
\(179\) | 6.90667 | − | 6.90667i | 0.516229 | − | 0.516229i | −0.400199 | − | 0.916428i | \(-0.631059\pi\) |
0.916428 | + | 0.400199i | \(0.131059\pi\) | |||||||
\(180\) | −6.29677 | − | 17.7796i | −0.469333 | − | 1.32521i | ||||
\(181\) | −0.796484 | − | 0.796484i | −0.0592022 | − | 0.0592022i | 0.676886 | − | 0.736088i | \(-0.263329\pi\) |
−0.736088 | + | 0.676886i | \(0.763329\pi\) | |||||||
\(182\) | −12.7242 | − | 8.17371i | −0.943178 | − | 0.605875i | ||||
\(183\) | 15.7134 | − | 0.327407i | 1.16157 | − | 0.0242026i | ||||
\(184\) | 16.4361 | + | 14.7101i | 1.21169 | + | 1.08444i | ||||
\(185\) | 6.05708i | 0.445326i | ||||||||
\(186\) | 19.0347 | − | 12.0104i | 1.39569 | − | 0.880647i | ||||
\(187\) | −9.22314 | − | 9.22314i | −0.674463 | − | 0.674463i | ||||
\(188\) | 16.3897 | + | 8.67256i | 1.19534 | + | 0.632511i | ||||
\(189\) | 13.2673 | + | 3.60267i | 0.965053 | + | 0.262056i | ||||
\(190\) | 2.62606 | − | 10.5776i | 0.190514 | − | 0.767380i | ||||
\(191\) | − | 0.749474i | − | 0.0542300i | −0.999632 | − | 0.0271150i | \(-0.991368\pi\) | ||
0.999632 | − | 0.0271150i | \(-0.00863204\pi\) | |||||||
\(192\) | −8.42804 | + | 10.9985i | −0.608242 | + | 0.793752i | ||||
\(193\) | 4.00979 | 0.288631 | 0.144316 | − | 0.989532i | \(-0.453902\pi\) | ||||
0.144316 | + | 0.989532i | \(0.453902\pi\) | |||||||
\(194\) | −1.10686 | + | 4.45837i | −0.0794680 | + | 0.320092i | ||||
\(195\) | 15.2342 | − | 15.8825i | 1.09094 | − | 1.13737i | ||||
\(196\) | −12.7325 | + | 5.82094i | −0.909464 | + | 0.415782i | ||||
\(197\) | 3.14044 | + | 3.14044i | 0.223747 | + | 0.223747i | 0.810074 | − | 0.586327i | \(-0.199427\pi\) |
−0.586327 | + | 0.810074i | \(0.699427\pi\) | |||||||
\(198\) | 14.5188 | − | 9.58962i | 1.03181 | − | 0.681504i | ||||
\(199\) | −20.8169 | −1.47567 | −0.737834 | − | 0.674982i | \(-0.764151\pi\) | ||||
−0.737834 | + | 0.674982i | \(0.764151\pi\) | |||||||
\(200\) | −9.20941 | + | 10.2900i | −0.651204 | + | 0.727614i | ||||
\(201\) | 0.503808 | + | 24.1795i | 0.0355358 | + | 1.70549i | ||||
\(202\) | 5.44483 | − | 3.27900i | 0.383097 | − | 0.230710i | ||||
\(203\) | −3.92301 | − | 1.33344i | −0.275341 | − | 0.0935892i | ||||
\(204\) | −3.46085 | − | 10.4596i | −0.242308 | − | 0.732317i | ||||
\(205\) | 10.0307 | + | 10.0307i | 0.700577 | + | 0.700577i | ||||
\(206\) | −0.319341 | − | 0.0792814i | −0.0222495 | − | 0.00552379i | ||||
\(207\) | −0.974521 | − | 23.3752i | −0.0677339 | − | 1.62469i | ||||
\(208\) | −15.8827 | − | 3.02138i | −1.10126 | − | 0.209495i | ||||
\(209\) | 10.0540 | 0.695452 | ||||||||
\(210\) | −4.74834 | − | 19.8119i | −0.327667 | − | 1.36715i | ||||
\(211\) | 2.27906 | + | 2.27906i | 0.156897 | + | 0.156897i | 0.781190 | − | 0.624293i | \(-0.214613\pi\) |
−0.624293 | + | 0.781190i | \(0.714613\pi\) | |||||||
\(212\) | 3.65779 | + | 11.8790i | 0.251218 | + | 0.815855i | ||||
\(213\) | 16.6693 | + | 15.9888i | 1.14216 | + | 1.09554i | ||||
\(214\) | −3.35077 | − | 5.56400i | −0.229054 | − | 0.380347i | ||||
\(215\) | − | 16.0553i | − | 1.09497i | ||||||
\(216\) | 14.5950 | − | 1.72818i | 0.993063 | − | 0.117587i | ||||
\(217\) | 21.8077 | − | 10.7435i | 1.48040 | − | 0.729314i | ||||
\(218\) | 6.78496 | + | 11.2665i | 0.459536 | + | 0.763066i | ||||
\(219\) | 10.0723 | + | 9.66113i | 0.680623 | + | 0.652839i | ||||
\(220\) | −22.7911 | − | 12.0598i | −1.53658 | − | 0.813074i | ||||
\(221\) | 9.08973 | − | 9.08973i | 0.611441 | − | 0.611441i | ||||
\(222\) | −4.60329 | − | 1.04154i | −0.308952 | − | 0.0699033i | ||||
\(223\) | − | 5.90307i | − | 0.395299i | −0.980273 | − | 0.197649i | \(-0.936669\pi\) | ||
0.980273 | − | 0.197649i | \(-0.0633308\pi\) | |||||||
\(224\) | −10.2998 | + | 10.8588i | −0.688183 | + | 0.725537i | ||||
\(225\) | 14.6343 | − | 0.610110i | 0.975620 | − | 0.0406740i | ||||
\(226\) | −0.972204 | + | 3.91598i | −0.0646701 | + | 0.260487i | ||||
\(227\) | −9.96279 | − | 9.96279i | −0.661253 | − | 0.661253i | 0.294422 | − | 0.955676i | \(-0.404873\pi\) |
−0.955676 | + | 0.294422i | \(0.904873\pi\) | |||||||
\(228\) | 7.58725 | + | 3.81462i | 0.502478 | + | 0.252629i | ||||
\(229\) | −14.6759 | − | 14.6759i | −0.969811 | − | 0.969811i | 0.0297465 | − | 0.999557i | \(-0.490530\pi\) |
−0.999557 | + | 0.0297465i | \(0.990530\pi\) | |||||||
\(230\) | −29.7002 | + | 17.8862i | −1.95838 | + | 1.17938i | ||||
\(231\) | 16.6825 | − | 8.65501i | 1.09763 | − | 0.569458i | ||||
\(232\) | −4.42273 | + | 0.245096i | −0.290366 | + | 0.0160913i | ||||
\(233\) | −13.3284 | −0.873174 | −0.436587 | − | 0.899662i | \(-0.643813\pi\) | ||||
−0.436587 | + | 0.899662i | \(0.643813\pi\) | |||||||
\(234\) | 9.45090 | + | 14.3088i | 0.617825 | + | 0.935395i | ||||
\(235\) | −20.6092 | + | 20.6092i | −1.34439 | + | 1.34439i | ||||
\(236\) | 1.27391 | − | 0.392263i | 0.0829246 | − | 0.0255341i | ||||
\(237\) | −2.14671 | − | 2.05908i | −0.139444 | − | 0.133752i | ||||
\(238\) | −2.53187 | − | 11.6276i | −0.164117 | − | 0.753702i | ||||
\(239\) | 15.8337i | 1.02420i | 0.858927 | + | 0.512098i | \(0.171132\pi\) | ||||
−0.858927 | + | 0.512098i | \(0.828868\pi\) | |||||||
\(240\) | −12.6236 | − | 17.7481i | −0.814851 | − | 1.14564i | ||||
\(241\) | 4.77361i | 0.307495i | 0.988110 | + | 0.153748i | \(0.0491343\pi\) | ||||
−0.988110 | + | 0.153748i | \(0.950866\pi\) | |||||||
\(242\) | 1.98313 | − | 7.98795i | 0.127481 | − | 0.513485i | ||||
\(243\) | −12.1091 | − | 9.81684i | −0.776797 | − | 0.629751i | ||||
\(244\) | 17.3446 | − | 5.34074i | 1.11037 | − | 0.341906i | ||||
\(245\) | −2.85473 | − | 21.8194i | −0.182382 | − | 1.39399i | ||||
\(246\) | −9.34802 | + | 5.89838i | −0.596008 | + | 0.376067i | ||||
\(247\) | 9.90860i | 0.630469i | ||||||||
\(248\) | 17.3320 | − | 19.3656i | 1.10058 | − | 1.22972i | ||||
\(249\) | −0.110989 | − | 5.32673i | −0.00703362 | − | 0.337568i | ||||
\(250\) | 0.269862 | + | 0.448110i | 0.0170676 | + | 0.0283410i | ||||
\(251\) | −6.90611 | + | 6.90611i | −0.435910 | + | 0.435910i | −0.890633 | − | 0.454723i | \(-0.849738\pi\) |
0.454723 | + | 0.890633i | \(0.349738\pi\) | |||||||
\(252\) | 15.8732 | − | 0.201943i | 0.999919 | − | 0.0127212i | ||||
\(253\) | −22.6155 | − | 22.6155i | −1.42182 | − | 1.42182i | ||||
\(254\) | −1.32233 | − | 0.328289i | −0.0829704 | − | 0.0205987i | ||||
\(255\) | 17.3133 | − | 0.360743i | 1.08420 | − | 0.0225906i | ||||
\(256\) | −5.87480 | + | 14.8824i | −0.367175 | + | 0.930152i | ||||
\(257\) | −26.4573 | −1.65036 | −0.825179 | − | 0.564871i | \(-0.808926\pi\) | ||||
−0.825179 | + | 0.564871i | \(0.808926\pi\) | |||||||
\(258\) | 12.2018 | + | 2.76077i | 0.759651 | + | 0.171878i | ||||
\(259\) | −4.82660 | − | 1.64057i | −0.299910 | − | 0.101940i | ||||
\(260\) | 11.8854 | − | 22.4615i | 0.737101 | − | 1.39300i | ||||
\(261\) | 3.45763 | + | 3.18087i | 0.214022 | + | 0.196891i | ||||
\(262\) | −7.79469 | − | 12.9432i | −0.481558 | − | 0.799634i | ||||
\(263\) | −13.4804 | −0.831236 | −0.415618 | − | 0.909539i | \(-0.636435\pi\) | ||||
−0.415618 | + | 0.909539i | \(0.636435\pi\) | |||||||
\(264\) | 13.0843 | − | 15.2472i | 0.805283 | − | 0.938399i | ||||
\(265\) | −19.5367 | −1.20013 | ||||||||
\(266\) | 7.71751 | + | 4.95755i | 0.473191 | + | 0.303967i | ||||
\(267\) | 2.12113 | − | 2.21140i | 0.129811 | − | 0.135336i | ||||
\(268\) | 8.21822 | + | 26.6895i | 0.502008 | + | 1.63032i | ||||
\(269\) | 16.8300 | + | 16.8300i | 1.02614 | + | 1.02614i | 0.999649 | + | 0.0264934i | \(0.00843410\pi\) |
0.0264934 | + | 0.999649i | \(0.491566\pi\) | |||||||
\(270\) | −4.15496 | + | 22.7241i | −0.252863 | + | 1.38294i | ||||
\(271\) | − | 16.2786i | − | 0.988856i | −0.869219 | − | 0.494428i | \(-0.835378\pi\) | ||
0.869219 | − | 0.494428i | \(-0.164622\pi\) | |||||||
\(272\) | −7.15600 | − | 10.5182i | −0.433896 | − | 0.637758i | ||||
\(273\) | 8.52982 | + | 16.4412i | 0.516248 | + | 0.995067i | ||||
\(274\) | 0.494436 | + | 0.122752i | 0.0298700 | + | 0.00741570i | ||||
\(275\) | 14.1587 | − | 14.1587i | 0.853801 | − | 0.853801i | ||||
\(276\) | −8.48614 | − | 25.6473i | −0.510806 | − | 1.54379i | ||||
\(277\) | 18.1892 | − | 18.1892i | 1.09288 | − | 1.09288i | 0.0976637 | − | 0.995219i | \(-0.468863\pi\) |
0.995219 | − | 0.0976637i | \(-0.0311369\pi\) | |||||||
\(278\) | 7.63928 | + | 12.6851i | 0.458173 | + | 0.760804i | ||||
\(279\) | −27.5415 | + | 1.14822i | −1.64887 | + | 0.0687420i | ||||
\(280\) | −11.5480 | − | 20.4953i | −0.690123 | − | 1.22483i | ||||
\(281\) | −14.1329 | −0.843099 | −0.421550 | − | 0.906805i | \(-0.638514\pi\) | ||||
−0.421550 | + | 0.906805i | \(0.638514\pi\) | |||||||
\(282\) | −12.1188 | − | 19.2065i | −0.721666 | − | 1.14373i | ||||
\(283\) | 14.3799 | + | 14.3799i | 0.854799 | + | 0.854799i | 0.990720 | − | 0.135921i | \(-0.0433992\pi\) |
−0.135921 | + | 0.990720i | \(0.543399\pi\) | |||||||
\(284\) | 23.5741 | + | 12.4742i | 1.39887 | + | 0.740206i | ||||
\(285\) | −9.23989 | + | 9.63313i | −0.547324 | + | 0.570617i | ||||
\(286\) | 22.7520 | + | 5.64855i | 1.34536 | + | 0.334006i | ||||
\(287\) | −10.7099 | + | 5.27617i | −0.632183 | + | 0.311442i | ||||
\(288\) | 15.6590 | − | 6.54190i | 0.922714 | − | 0.385485i | ||||
\(289\) | −6.88497 | −0.404998 | ||||||||
\(290\) | 1.67759 | − | 6.75722i | 0.0985113 | − | 0.396798i | ||||
\(291\) | 3.89454 | − | 4.06028i | 0.228302 | − | 0.238018i | ||||
\(292\) | 14.2445 | + | 7.53741i | 0.833596 | + | 0.441094i | ||||
\(293\) | 15.2285 | − | 15.2285i | 0.889657 | − | 0.889657i | −0.104833 | − | 0.994490i | \(-0.533431\pi\) |
0.994490 | + | 0.104833i | \(0.0334309\pi\) | |||||||
\(294\) | 17.0733 | + | 1.58237i | 0.995733 | + | 0.0922856i | ||||
\(295\) | 2.09512i | 0.121983i | ||||||||
\(296\) | −5.44143 | + | 0.301549i | −0.316277 | + | 0.0175272i | ||||
\(297\) | −21.2688 | + | 1.33102i | −1.23414 | + | 0.0772338i | ||||
\(298\) | −8.95382 | − | 14.8680i | −0.518681 | − | 0.861277i | ||||
\(299\) | 22.2884 | − | 22.2884i | 1.28897 | − | 1.28897i | ||||
\(300\) | 16.0568 | − | 5.31285i | 0.927039 | − | 0.306737i | ||||
\(301\) | 12.7937 | + | 4.34863i | 0.737419 | + | 0.250651i | ||||
\(302\) | 2.59821 | − | 10.4654i | 0.149510 | − | 0.602218i | ||||
\(303\) | −7.78272 | + | 0.162162i | −0.447105 | + | 0.00931596i | ||||
\(304\) | 9.63321 | + | 1.83254i | 0.552502 | + | 0.105103i | ||||
\(305\) | 28.5255i | 1.63337i | ||||||||
\(306\) | −2.70292 | + | 13.2199i | −0.154516 | + | 0.755729i | ||||
\(307\) | −18.3375 | + | 18.3375i | −1.04658 | + | 1.04658i | −0.0477172 | + | 0.998861i | \(0.515195\pi\) |
−0.998861 | + | 0.0477172i | \(0.984805\pi\) | |||||||
\(308\) | 15.7829 | − | 14.8947i | 0.899317 | − | 0.848706i | ||||
\(309\) | 0.290827 | + | 0.278955i | 0.0165446 | + | 0.0158692i | ||||
\(310\) | 21.0741 | + | 34.9939i | 1.19693 | + | 1.98752i | ||||
\(311\) | − | 29.4211i | − | 1.66832i | −0.551525 | − | 0.834158i | \(-0.685954\pi\) | ||
0.551525 | − | 0.834158i | \(-0.314046\pi\) | |||||||
\(312\) | 15.0266 | + | 12.8950i | 0.850715 | + | 0.730038i | ||||
\(313\) | 12.3284 | 0.696841 | 0.348420 | − | 0.937338i | \(-0.386718\pi\) | ||||
0.348420 | + | 0.937338i | \(0.386718\pi\) | |||||||
\(314\) | −5.70330 | + | 3.43466i | −0.321856 | + | 0.193829i | ||||
\(315\) | −7.03894 | + | 23.9383i | −0.396599 | + | 1.34877i | ||||
\(316\) | −3.03593 | − | 1.60645i | −0.170785 | − | 0.0903699i | ||||
\(317\) | −0.0346918 | + | 0.0346918i | −0.00194848 | + | 0.00194848i | −0.708080 | − | 0.706132i | \(-0.750439\pi\) |
0.706132 | + | 0.708080i | \(0.250439\pi\) | |||||||
\(318\) | 3.35940 | − | 14.8476i | 0.188386 | − | 0.832611i | ||||
\(319\) | 6.42276 | 0.359606 | ||||||||
\(320\) | −19.6390 | − | 15.7092i | −1.09786 | − | 0.878169i | ||||
\(321\) | 0.165711 | + | 7.95306i | 0.00924910 | + | 0.443896i | ||||
\(322\) | −6.20825 | − | 28.5112i | −0.345972 | − | 1.58887i | ||||
\(323\) | −5.51314 | + | 5.51314i | −0.306759 | + | 0.306759i | ||||
\(324\) | −16.5555 | − | 7.06518i | −0.919748 | − | 0.392510i | ||||
\(325\) | 13.9539 | + | 13.9539i | 0.774022 | + | 0.774022i | ||||
\(326\) | −6.36026 | − | 10.5613i | −0.352262 | − | 0.584937i | ||||
\(327\) | −0.335548 | − | 16.1041i | −0.0185559 | − | 0.890561i | ||||
\(328\) | −8.51181 | + | 9.51056i | −0.469986 | + | 0.525133i | ||||
\(329\) | −10.8404 | − | 22.0045i | −0.597652 | − | 1.21315i | ||||
\(330\) | 16.8521 | + | 26.7080i | 0.927680 | + | 1.47023i | ||||
\(331\) | 7.94426 | − | 7.94426i | 0.436656 | − | 0.436656i | −0.454229 | − | 0.890885i | \(-0.650085\pi\) |
0.890885 | + | 0.454229i | \(0.150085\pi\) | |||||||
\(332\) | −1.81047 | − | 5.87969i | −0.0993625 | − | 0.322690i | ||||
\(333\) | 4.25404 | + | 3.91353i | 0.233120 | + | 0.214460i | ||||
\(334\) | 4.47356 | − | 18.0192i | 0.244782 | − | 0.985968i | ||||
\(335\) | −43.8945 | −2.39821 | ||||||||
\(336\) | 17.5618 | − | 5.25204i | 0.958074 | − | 0.286522i | ||||
\(337\) | −34.5423 | −1.88164 | −0.940819 | − | 0.338909i | \(-0.889942\pi\) | ||||
−0.940819 | + | 0.338909i | \(0.889942\pi\) | |||||||
\(338\) | −1.13701 | + | 4.57980i | −0.0618451 | + | 0.249108i | ||||
\(339\) | 3.42074 | − | 3.56632i | 0.185789 | − | 0.193696i | ||||
\(340\) | 19.1105 | − | 5.88451i | 1.03642 | − | 0.319132i | ||||
\(341\) | −26.6464 | + | 26.6464i | −1.44299 | + | 1.44299i | ||||
\(342\) | −5.73219 | − | 8.67862i | −0.309962 | − | 0.469286i | ||||
\(343\) | 18.1600 | + | 3.63503i | 0.980549 | + | 0.196273i | ||||
\(344\) | 14.4234 | − | 0.799309i | 0.777660 | − | 0.0430959i | ||||
\(345\) | 42.4529 | − | 0.884555i | 2.28559 | − | 0.0476228i | ||||
\(346\) | −6.51773 | − | 10.8228i | −0.350395 | − | 0.581837i | ||||
\(347\) | 16.1082 | + | 16.1082i | 0.864732 | + | 0.864732i | 0.991883 | − | 0.127152i | \(-0.0405835\pi\) |
−0.127152 | + | 0.991883i | \(0.540583\pi\) | |||||||
\(348\) | 4.84692 | + | 2.43687i | 0.259822 | + | 0.130630i | ||||
\(349\) | 0.472415 | − | 0.472415i | 0.0252878 | − | 0.0252878i | −0.694350 | − | 0.719638i | \(-0.744308\pi\) |
0.719638 | + | 0.694350i | \(0.244308\pi\) | |||||||
\(350\) | 17.8498 | − | 3.88675i | 0.954110 | − | 0.207755i | ||||
\(351\) | −1.31177 | − | 20.9612i | −0.0700171 | − | 1.11882i | ||||
\(352\) | 9.69940 | − | 21.0750i | 0.516980 | − | 1.12330i | ||||
\(353\) | 25.5518 | 1.35998 | 0.679991 | − | 0.733220i | \(-0.261983\pi\) | ||||
0.679991 | + | 0.733220i | \(0.261983\pi\) | |||||||
\(354\) | −1.59226 | − | 0.360264i | −0.0846277 | − | 0.0191478i | ||||
\(355\) | −29.6432 | + | 29.6432i | −1.57330 | + | 1.57330i | ||||
\(356\) | 1.65486 | − | 3.12742i | 0.0877075 | − | 0.165753i | ||||
\(357\) | −4.40189 | + | 13.8938i | −0.232973 | + | 0.735340i | ||||
\(358\) | −11.8332 | + | 7.12624i | −0.625405 | + | 0.376633i | ||||
\(359\) | 0.233640 | 0.0123310 | 0.00616552 | − | 0.999981i | \(-0.498037\pi\) | ||||
0.00616552 | + | 0.999981i | \(0.498037\pi\) | |||||||
\(360\) | 2.58409 | + | 26.5490i | 0.136193 | + | 1.39926i | ||||
\(361\) | 12.9902i | 0.683695i | ||||||||
\(362\) | 0.821804 | + | 1.36462i | 0.0431931 | + | 0.0717227i | ||||
\(363\) | −6.97774 | + | 7.27471i | −0.366236 | + | 0.381823i | ||||
\(364\) | 14.6793 | + | 15.5546i | 0.769403 | + | 0.815285i | ||||
\(365\) | −17.9117 | + | 17.9117i | −0.937539 | + | 0.937539i | ||||
\(366\) | −21.6790 | − | 4.90507i | −1.13318 | − | 0.256392i | ||||
\(367\) | 24.9794i | 1.30391i | 0.758257 | + | 0.651956i | \(0.226051\pi\) | ||||
−0.758257 | + | 0.651956i | \(0.773949\pi\) | |||||||
\(368\) | −17.5468 | − | 25.7910i | −0.914690 | − | 1.34445i | ||||
\(369\) | 13.5258 | − | 0.563895i | 0.704123 | − | 0.0293552i | ||||
\(370\) | 2.06399 | − | 8.31363i | 0.107302 | − | 0.432205i | ||||
\(371\) | 5.29156 | − | 15.5679i | 0.274724 | − | 0.808243i | ||||
\(372\) | −30.2186 | + | 9.99869i | −1.56676 | + | 0.518408i | ||||
\(373\) | −11.1769 | + | 11.1769i | −0.578718 | + | 0.578718i | −0.934550 | − | 0.355832i | \(-0.884197\pi\) |
0.355832 | + | 0.934550i | \(0.384197\pi\) | |||||||
\(374\) | 9.51635 | + | 15.8020i | 0.492079 | + | 0.817104i | ||||
\(375\) | −0.0133460 | − | 0.640519i | −0.000689182 | − | 0.0330763i | ||||
\(376\) | −19.5404 | − | 17.4884i | −1.00772 | − | 0.901895i | ||||
\(377\) | 6.32985i | 0.326004i | ||||||||
\(378\) | −16.9823 | − | 9.46575i | −0.873477 | − | 0.486866i | ||||
\(379\) | 13.0511 | − | 13.0511i | 0.670389 | − | 0.670389i | −0.287417 | − | 0.957806i | \(-0.592796\pi\) |
0.957806 | + | 0.287417i | \(0.0927964\pi\) | |||||||
\(380\) | −7.20877 | + | 13.6234i | −0.369802 | + | 0.698866i | ||||
\(381\) | 1.20426 | + | 1.15510i | 0.0616961 | + | 0.0591776i | ||||
\(382\) | −0.255388 | + | 1.02869i | −0.0130668 | + | 0.0526323i | ||||
\(383\) | 14.0708 | 0.718984 | 0.359492 | − | 0.933148i | \(-0.382950\pi\) | ||||
0.359492 | + | 0.933148i | \(0.382950\pi\) | |||||||
\(384\) | 15.3157 | − | 12.2241i | 0.781577 | − | 0.623809i | ||||
\(385\) | 15.0744 | + | 30.5989i | 0.768264 | + | 1.55947i | ||||
\(386\) | −5.50363 | − | 1.36636i | −0.280127 | − | 0.0695460i | ||||
\(387\) | −11.2761 | − | 10.3735i | −0.573195 | − | 0.527314i | ||||
\(388\) | 3.03844 | − | 5.74215i | 0.154253 | − | 0.291514i | ||||
\(389\) | 13.8414 | + | 13.8414i | 0.701787 | + | 0.701787i | 0.964794 | − | 0.263007i | \(-0.0847142\pi\) |
−0.263007 | + | 0.964794i | \(0.584714\pi\) | |||||||
\(390\) | −26.3217 | + | 16.6084i | −1.33285 | + | 0.840998i | ||||
\(391\) | 24.8024 | 1.25431 | ||||||||
\(392\) | 19.4595 | − | 3.65083i | 0.982852 | − | 0.184395i | ||||
\(393\) | 0.385484 | + | 18.5007i | 0.0194451 | + | 0.933239i | ||||
\(394\) | −3.24027 | − | 5.38052i | −0.163243 | − | 0.271067i | ||||
\(395\) | 3.81752 | − | 3.81752i | 0.192080 | − | 0.192080i | ||||
\(396\) | −23.1955 | + | 8.21482i | −1.16562 | + | 0.412810i | ||||
\(397\) | −14.4891 | + | 14.4891i | −0.727185 | + | 0.727185i | −0.970058 | − | 0.242873i | \(-0.921910\pi\) |
0.242873 | + | 0.970058i | \(0.421910\pi\) | |||||||
\(398\) | 28.5721 | + | 7.09348i | 1.43219 | + | 0.355564i | ||||
\(399\) | −5.17354 | − | 9.97198i | −0.259001 | − | 0.499223i | ||||
\(400\) | 16.1467 | − | 10.9854i | 0.807337 | − | 0.549268i | ||||
\(401\) | − | 27.8553i | − | 1.39103i | −0.718514 | − | 0.695513i | \(-0.755177\pi\) | ||
0.718514 | − | 0.695513i | \(-0.244823\pi\) | |||||||
\(402\) | 7.54781 | − | 33.3591i | 0.376451 | − | 1.66380i | ||||
\(403\) | −26.2610 | − | 26.2610i | −1.30815 | − | 1.30815i | ||||
\(404\) | −8.59062 | + | 2.64522i | −0.427399 | + | 0.131605i | ||||
\(405\) | 18.2712 | − | 21.6017i | 0.907905 | − | 1.07339i | ||||
\(406\) | 4.93013 | + | 3.16700i | 0.244678 | + | 0.157176i | ||||
\(407\) | 7.90213 | 0.391694 | ||||||||
\(408\) | 1.18601 | + | 15.5356i | 0.0587163 | + | 0.769126i | ||||
\(409\) | −8.40568 | −0.415634 | −0.207817 | − | 0.978168i | \(-0.566636\pi\) | ||||
−0.207817 | + | 0.978168i | \(0.566636\pi\) | |||||||
\(410\) | −10.3496 | − | 17.1857i | −0.511131 | − | 0.848741i | ||||
\(411\) | −0.450288 | − | 0.431907i | −0.0222111 | − | 0.0213044i | ||||
\(412\) | 0.411294 | + | 0.217635i | 0.0202630 | + | 0.0107221i | ||||
\(413\) | −1.66950 | − | 0.567469i | −0.0821509 | − | 0.0279233i | ||||
\(414\) | −6.62767 | + | 32.4156i | −0.325732 | + | 1.59314i | ||||
\(415\) | 9.66996 | 0.474679 | ||||||||
\(416\) | 20.7701 | + | 9.55910i | 1.01834 | + | 0.468673i | ||||
\(417\) | −0.377798 | − | 18.1319i | −0.0185009 | − | 0.887921i | ||||
\(418\) | −13.7996 | − | 3.42598i | −0.674962 | − | 0.167570i | ||||
\(419\) | 15.2311 | + | 15.2311i | 0.744086 | + | 0.744086i | 0.973361 | − | 0.229276i | \(-0.0736358\pi\) |
−0.229276 | + | 0.973361i | \(0.573636\pi\) | |||||||
\(420\) | −0.233707 | + | 28.8108i | −0.0114037 | + | 1.40582i | ||||
\(421\) | −27.3478 | + | 27.3478i | −1.33285 | + | 1.33285i | −0.430039 | + | 0.902810i | \(0.641500\pi\) |
−0.902810 | + | 0.430039i | \(0.858500\pi\) | |||||||
\(422\) | −2.35152 | − | 3.90473i | −0.114470 | − | 0.190079i | ||||
\(423\) | 1.15858 | + | 27.7901i | 0.0563321 | + | 1.35120i | ||||
\(424\) | −0.972627 | − | 17.5509i | −0.0472349 | − | 0.852349i | ||||
\(425\) | 15.5279i | 0.753212i | ||||||||
\(426\) | −17.4311 | − | 27.6256i | −0.844540 | − | 1.33847i | ||||
\(427\) | −22.7306 | − | 7.72621i | −1.10001 | − | 0.373897i | ||||
\(428\) | 2.70312 | + | 8.77865i | 0.130660 | + | 0.424332i | ||||
\(429\) | −20.7205 | − | 19.8747i | −1.00040 | − | 0.959557i | ||||
\(430\) | −5.47096 | + | 22.0367i | −0.263833 | + | 1.06270i | ||||
\(431\) | 21.9259i | 1.05613i | 0.849203 | + | 0.528067i | \(0.177083\pi\) | ||||
−0.849203 | + | 0.528067i | \(0.822917\pi\) | |||||||
\(432\) | −20.6212 | − | 2.60133i | −0.992137 | − | 0.125157i | ||||
\(433\) | − | 36.1727i | − | 1.73835i | −0.494504 | − | 0.869175i | \(-0.664650\pi\) | ||
0.494504 | − | 0.869175i | \(-0.335350\pi\) | |||||||
\(434\) | −33.5930 | + | 7.31480i | −1.61251 | + | 0.351121i | ||||
\(435\) | −5.90266 | + | 6.15387i | −0.283011 | + | 0.295056i | ||||
\(436\) | −5.47354 | − | 17.7759i | −0.262135 | − | 0.851309i | ||||
\(437\) | −13.5184 | + | 13.5184i | −0.646674 | + | 0.646674i | ||||
\(438\) | −10.5326 | − | 16.6926i | −0.503267 | − | 0.797601i | ||||
\(439\) | 24.2387 | 1.15685 | 0.578425 | − | 0.815736i | \(-0.303668\pi\) | ||||
0.578425 | + | 0.815736i | \(0.303668\pi\) | |||||||
\(440\) | 27.1724 | + | 24.3189i | 1.29540 | + | 1.15936i | ||||
\(441\) | −17.1687 | − | 12.0927i | −0.817559 | − | 0.575844i | ||||
\(442\) | −15.5735 | + | 9.37870i | −0.740754 | + | 0.446099i | ||||
\(443\) | −17.1906 | − | 17.1906i | −0.816751 | − | 0.816751i | 0.168885 | − | 0.985636i | \(-0.445983\pi\) |
−0.985636 | + | 0.168885i | \(0.945983\pi\) | |||||||
\(444\) | 5.96332 | + | 2.99816i | 0.283006 | + | 0.142286i | ||||
\(445\) | 3.93256 | + | 3.93256i | 0.186421 | + | 0.186421i | ||||
\(446\) | −2.01151 | + | 8.10224i | −0.0952477 | + | 0.383652i | ||||
\(447\) | 0.442809 | + | 21.2519i | 0.0209441 | + | 1.00518i | ||||
\(448\) | 17.8372 | − | 11.3945i | 0.842727 | − | 0.538342i | ||||
\(449\) | − | 17.0216i | − | 0.803299i | −0.915793 | − | 0.401650i | \(-0.868437\pi\) | ||
0.915793 | − | 0.401650i | \(-0.131563\pi\) | |||||||
\(450\) | −20.2942 | − | 4.14933i | −0.956676 | − | 0.195601i | ||||
\(451\) | 13.0862 | − | 13.0862i | 0.616205 | − | 0.616205i | ||||
\(452\) | 2.66879 | − | 5.04358i | 0.125529 | − | 0.237230i | ||||
\(453\) | −9.14190 | + | 9.53097i | −0.429524 | + | 0.447804i | ||||
\(454\) | 10.2795 | + | 17.0693i | 0.482441 | + | 0.801101i | ||||
\(455\) | −30.1563 | + | 14.8564i | −1.41375 | + | 0.696478i | ||||
\(456\) | −9.11400 | − | 7.82114i | −0.426802 | − | 0.366259i | ||||
\(457\) | − | 18.4609i | − | 0.863565i | −0.901978 | − | 0.431783i | \(-0.857885\pi\) | ||
0.901978 | − | 0.431783i | \(-0.142115\pi\) | |||||||
\(458\) | 15.1425 | + | 25.1443i | 0.707561 | + | 1.17491i | ||||
\(459\) | 10.9329 | − | 12.3926i | 0.510304 | − | 0.578439i | ||||
\(460\) | 46.8598 | − | 14.4291i | 2.18485 | − | 0.672758i | ||||
\(461\) | 0.625538 | + | 0.625538i | 0.0291342 | + | 0.0291342i | 0.721524 | − | 0.692390i | \(-0.243442\pi\) |
−0.692390 | + | 0.721524i | \(0.743442\pi\) | |||||||
\(462\) | −25.8468 | + | 6.19474i | −1.20250 | + | 0.288205i | ||||
\(463\) | 33.6057 | 1.56179 | 0.780895 | − | 0.624662i | \(-0.214763\pi\) | ||||
0.780895 | + | 0.624662i | \(0.214763\pi\) | |||||||
\(464\) | 6.15392 | + | 1.17067i | 0.285689 | + | 0.0543469i | ||||
\(465\) | −1.04222 | − | 50.0196i | −0.0483316 | − | 2.31960i | ||||
\(466\) | 18.2939 | + | 4.54175i | 0.847448 | + | 0.210392i | ||||
\(467\) | −13.9953 | − | 13.9953i | −0.647626 | − | 0.647626i | 0.304793 | − | 0.952419i | \(-0.401413\pi\) |
−0.952419 | + | 0.304793i | \(0.901413\pi\) | |||||||
\(468\) | −8.09599 | − | 22.8599i | −0.374237 | − | 1.05670i | ||||
\(469\) | 11.8889 | − | 34.9775i | 0.548980 | − | 1.61511i | ||||
\(470\) | 35.3098 | − | 21.2644i | 1.62872 | − | 0.980852i | ||||
\(471\) | 8.15217 | − | 0.169860i | 0.375632 | − | 0.00782673i | ||||
\(472\) | −1.88217 | + | 0.104305i | −0.0866339 | + | 0.00480102i | ||||
\(473\) | −20.9460 | −0.963096 | ||||||||
\(474\) | 2.24482 | + | 3.55769i | 0.103108 | + | 0.163410i | ||||
\(475\) | −8.46336 | − | 8.46336i | −0.388326 | − | 0.388326i | ||||
\(476\) | −0.487048 | + | 16.8221i | −0.0223238 | + | 0.771040i | ||||
\(477\) | −12.6228 | + | 13.7211i | −0.577959 | + | 0.628246i | ||||
\(478\) | 5.39543 | − | 21.7325i | 0.246781 | − | 0.994020i | ||||
\(479\) | 35.3621 | 1.61574 | 0.807868 | − | 0.589364i | \(-0.200621\pi\) | ||||
0.807868 | + | 0.589364i | \(0.200621\pi\) | |||||||
\(480\) | 11.2787 | + | 28.6617i | 0.514801 | + | 1.30822i | ||||
\(481\) | 7.78782i | 0.355094i | ||||||||
\(482\) | 1.62664 | − | 6.55200i | 0.0740913 | − | 0.298435i | ||||
\(483\) | −10.7936 | + | 34.0683i | −0.491126 | + | 1.55016i | ||||
\(484\) | −5.44389 | + | 10.2881i | −0.247450 | + | 0.467639i | ||||
\(485\) | 7.22044 | + | 7.22044i | 0.327863 | + | 0.327863i | ||||
\(486\) | 13.2751 | + | 17.6003i | 0.602171 | + | 0.798367i | ||||
\(487\) | − | 10.2503i | − | 0.464484i | −0.972658 | − | 0.232242i | \(-0.925394\pi\) | ||
0.972658 | − | 0.232242i | \(-0.0746061\pi\) | |||||||
\(488\) | −25.6261 | + | 1.42013i | −1.16004 | + | 0.0642864i | ||||
\(489\) | 0.314545 | + | 15.0961i | 0.0142242 | + | 0.682669i | ||||
\(490\) | −3.51685 | + | 30.9209i | −0.158875 | + | 1.39686i | ||||
\(491\) | 1.50660 | + | 1.50660i | 0.0679920 | + | 0.0679920i | 0.740285 | − | 0.672293i | \(-0.234691\pi\) |
−0.672293 | + | 0.740285i | \(0.734691\pi\) | |||||||
\(492\) | 14.8405 | − | 4.91040i | 0.669061 | − | 0.221378i | ||||
\(493\) | −3.52192 | + | 3.52192i | −0.158619 | + | 0.158619i | ||||
\(494\) | 3.37642 | − | 13.6000i | 0.151912 | − | 0.611894i | ||||
\(495\) | −1.61109 | − | 38.6442i | −0.0724133 | − | 1.73693i | ||||
\(496\) | −30.3879 | + | 20.6743i | −1.36446 | + | 0.928303i | ||||
\(497\) | −15.5923 | − | 31.6502i | −0.699411 | − | 1.41970i | ||||
\(498\) | −1.66278 | + | 7.34901i | −0.0745110 | + | 0.329317i | ||||
\(499\) | 15.9716 | + | 15.9716i | 0.714987 | + | 0.714987i | 0.967574 | − | 0.252587i | \(-0.0812814\pi\) |
−0.252587 | + | 0.967574i | \(0.581281\pi\) | |||||||
\(500\) | −0.217702 | − | 0.707010i | −0.00973594 | − | 0.0316184i | ||||
\(501\) | −15.7404 | + | 16.4103i | −0.703229 | + | 0.733157i | ||||
\(502\) | 11.8323 | − | 7.12566i | 0.528100 | − | 0.318034i | ||||
\(503\) | − | 13.4898i | − | 0.601482i | −0.953706 | − | 0.300741i | \(-0.902766\pi\) | ||
0.953706 | − | 0.300741i | \(-0.0972339\pi\) | |||||||
\(504\) | −21.8556 | − | 5.13173i | −0.973524 | − | 0.228585i | ||||
\(505\) | − | 14.1285i | − | 0.628708i | ||||||
\(506\) | 23.3345 | + | 38.7472i | 1.03734 | + | 1.72252i | ||||
\(507\) | 4.00061 | − | 4.17087i | 0.177673 | − | 0.185235i | ||||
\(508\) | 1.70309 | + | 0.901185i | 0.0755626 | + | 0.0399836i | ||||
\(509\) | −15.0378 | − | 15.0378i | −0.666538 | − | 0.666538i | 0.290375 | − | 0.956913i | \(-0.406220\pi\) |
−0.956913 | + | 0.290375i | \(0.906220\pi\) | |||||||
\(510\) | −23.8862 | − | 5.40448i | −1.05770 | − | 0.239314i | ||||
\(511\) | −9.42154 | − | 19.1244i | −0.416784 | − | 0.846012i | ||||
\(512\) | 13.1347 | − | 18.4250i | 0.580478 | − | 0.814276i | ||||
\(513\) | 0.795619 | + | 12.7134i | 0.0351275 | + | 0.561312i | ||||
\(514\) | 36.3138 | + | 9.01548i | 1.60173 | + | 0.397656i | ||||
\(515\) | −0.517180 | + | 0.517180i | −0.0227897 | + | 0.0227897i | ||||
\(516\) | −15.8068 | − | 7.94713i | −0.695856 | − | 0.349853i | ||||
\(517\) | 26.8869 | + | 26.8869i | 1.18249 | + | 1.18249i | ||||
\(518\) | 6.06570 | + | 3.89646i | 0.266511 | + | 0.171201i | ||||
\(519\) | 0.322332 | + | 15.4699i | 0.0141488 | + | 0.679051i | ||||
\(520\) | −23.9671 | + | 26.7794i | −1.05103 | + | 1.17435i | ||||
\(521\) | − | 12.8211i | − | 0.561704i | −0.959751 | − | 0.280852i | \(-0.909383\pi\) | ||
0.959751 | − | 0.280852i | \(-0.0906170\pi\) | |||||||
\(522\) | −3.66186 | − | 5.54411i | −0.160275 | − | 0.242659i | ||||
\(523\) | 20.0902 | + | 20.0902i | 0.878485 | + | 0.878485i | 0.993378 | − | 0.114893i | \(-0.0366526\pi\) |
−0.114893 | + | 0.993378i | \(0.536653\pi\) | |||||||
\(524\) | 6.28810 | + | 20.4212i | 0.274697 | + | 0.892106i | ||||
\(525\) | −21.3288 | − | 6.75745i | −0.930866 | − | 0.294920i | ||||
\(526\) | 18.5025 | + | 4.59353i | 0.806746 | + | 0.200287i | ||||
\(527\) | − | 29.2232i | − | 1.27298i | ||||||
\(528\) | −23.1544 | + | 16.4689i | −1.00767 | + | 0.716717i | ||||
\(529\) | 37.8166 | 1.64420 | ||||||||
\(530\) | 26.8150 | + | 6.65726i | 1.16477 | + | 0.289173i | ||||
\(531\) | 1.47146 | + | 1.35368i | 0.0638558 | + | 0.0587445i | ||||
\(532\) | −8.90333 | − | 9.43426i | −0.386008 | − | 0.409027i | ||||
\(533\) | 12.8969 | + | 12.8969i | 0.558627 | + | 0.558627i | ||||
\(534\) | −3.66490 | + | 2.31247i | −0.158596 | + | 0.100070i | ||||
\(535\) | −14.4377 | −0.624196 | ||||||||
\(536\) | −2.18527 | − | 39.4330i | −0.0943894 | − | 1.70325i | ||||
\(537\) | 16.9142 | − | 0.352426i | 0.729900 | − | 0.0152083i | ||||
\(538\) | −17.3650 | − | 28.8349i | −0.748659 | − | 1.24316i | ||||
\(539\) | −28.4658 | + | 3.72430i | −1.22611 | + | 0.160417i | ||||
\(540\) | 13.4462 | − | 29.7740i | 0.578634 | − | 1.28127i | ||||
\(541\) | 0.677305 | + | 0.677305i | 0.0291196 | + | 0.0291196i | 0.721517 | − | 0.692397i | \(-0.243445\pi\) |
−0.692397 | + | 0.721517i | \(0.743445\pi\) | |||||||
\(542\) | −5.54705 | + | 22.3432i | −0.238266 | + | 0.959722i | ||||
\(543\) | −0.0406421 | − | 1.95056i | −0.00174412 | − | 0.0837063i | ||||
\(544\) | 6.23781 | + | 16.8752i | 0.267444 | + | 0.723516i | ||||
\(545\) | 29.2348 | 1.25228 | ||||||||
\(546\) | −6.10513 | − | 25.4729i | −0.261275 | − | 1.09014i | ||||
\(547\) | 2.69994 | + | 2.69994i | 0.115441 | + | 0.115441i | 0.762467 | − | 0.647027i | \(-0.223988\pi\) |
−0.647027 | + | 0.762467i | \(0.723988\pi\) | |||||||
\(548\) | −0.636808 | − | 0.336965i | −0.0272031 | − | 0.0143944i | ||||
\(549\) | 20.0342 | + | 18.4306i | 0.855039 | + | 0.786598i | ||||
\(550\) | −24.2581 | + | 14.6088i | −1.03437 | + | 0.622922i | ||||
\(551\) | − | 3.83921i | − | 0.163556i | ||||||
\(552\) | 2.90815 | + | 38.0938i | 0.123779 | + | 1.62138i | ||||
\(553\) | 2.00801 | + | 4.07598i | 0.0853895 | + | 0.173328i | ||||
\(554\) | −31.1636 | + | 18.7674i | −1.32402 | + | 0.797352i | ||||
\(555\) | −7.26223 | + | 7.57131i | −0.308265 | + | 0.321384i | ||||
\(556\) | −6.16273 | − | 20.0141i | −0.261358 | − | 0.848786i | ||||
\(557\) | −7.69062 | + | 7.69062i | −0.325862 | + | 0.325862i | −0.851011 | − | 0.525148i | \(-0.824010\pi\) |
0.525148 | + | 0.851011i | \(0.324010\pi\) | |||||||
\(558\) | 38.1933 | + | 7.80897i | 1.61685 | + | 0.330580i | ||||
\(559\) | − | 20.6430i | − | 0.873105i | ||||||
\(560\) | 8.86623 | + | 32.0657i | 0.374667 | + | 1.35502i | ||||
\(561\) | −0.470628 | − | 22.5871i | −0.0198699 | − | 0.953628i | ||||
\(562\) | 19.3981 | + | 4.81588i | 0.818259 | + | 0.203146i | ||||
\(563\) | 16.2002 | + | 16.2002i | 0.682758 | + | 0.682758i | 0.960621 | − | 0.277863i | \(-0.0896261\pi\) |
−0.277863 | + | 0.960621i | \(0.589626\pi\) | |||||||
\(564\) | 10.0889 | + | 30.4913i | 0.424821 | + | 1.28392i | ||||
\(565\) | 6.34203 | + | 6.34203i | 0.266811 | + | 0.266811i | ||||
\(566\) | −14.8371 | − | 24.6372i | −0.623649 | − | 1.03558i | ||||
\(567\) | 12.2645 | + | 20.4103i | 0.515062 | + | 0.857153i | ||||
\(568\) | −28.1060 | − | 25.1544i | −1.17930 | − | 1.05546i | ||||
\(569\) | −43.9239 | −1.84139 | −0.920693 | − | 0.390287i | \(-0.872376\pi\) | ||||
−0.920693 | + | 0.390287i | \(0.872376\pi\) | |||||||
\(570\) | 15.9647 | − | 10.0734i | 0.668689 | − | 0.421927i | ||||
\(571\) | 10.2306 | − | 10.2306i | 0.428136 | − | 0.428136i | −0.459857 | − | 0.887993i | \(-0.652099\pi\) |
0.887993 | + | 0.459857i | \(0.152099\pi\) | |||||||
\(572\) | −29.3034 | − | 15.5058i | −1.22524 | − | 0.648330i | ||||
\(573\) | 0.898594 | − | 0.936837i | 0.0375393 | − | 0.0391369i | ||||
\(574\) | 16.4977 | − | 3.59233i | 0.688599 | − | 0.149941i | ||||
\(575\) | 38.0749i | 1.58783i | ||||||||
\(576\) | −23.7219 | + | 3.64317i | −0.988411 | + | 0.151799i | ||||
\(577\) | − | 47.0721i | − | 1.95964i | −0.199887 | − | 0.979819i | \(-0.564057\pi\) | ||
0.199887 | − | 0.979819i | \(-0.435943\pi\) | |||||||
\(578\) | 9.44994 | + | 2.34610i | 0.393066 | + | 0.0975848i | ||||
\(579\) | 5.01221 | + | 4.80760i | 0.208300 | + | 0.199797i | ||||
\(580\) | −4.60514 | + | 8.70296i | −0.191218 | + | 0.361371i | ||||
\(581\) | −2.61913 | + | 7.70553i | −0.108660 | + | 0.319679i | ||||
\(582\) | −6.72900 | + | 4.24584i | −0.278926 | + | 0.175996i | ||||
\(583\) | 25.4878i | 1.05560i | ||||||||
\(584\) | −16.9828 | − | 15.1994i | −0.702754 | − | 0.628954i | ||||
\(585\) | 38.0852 | − | 1.58779i | 1.57463 | − | 0.0656470i | ||||
\(586\) | −26.0910 | + | 15.7126i | −1.07781 | + | 0.649081i | ||||
\(587\) | 2.19342 | − | 2.19342i | 0.0905321 | − | 0.0905321i | −0.660390 | − | 0.750922i | \(-0.729609\pi\) |
0.750922 | + | 0.660390i | \(0.229609\pi\) | |||||||
\(588\) | −22.8946 | − | 7.98970i | −0.944159 | − | 0.329490i | ||||
\(589\) | 15.9279 | + | 15.9279i | 0.656298 | + | 0.656298i | ||||
\(590\) | 0.713927 | − | 2.87566i | 0.0293919 | − | 0.118389i | ||||
\(591\) | 0.160247 | + | 7.69080i | 0.00659167 | + | 0.316357i | ||||
\(592\) | 7.57137 | + | 1.44031i | 0.311181 | + | 0.0591964i | ||||
\(593\) | −14.4280 | −0.592486 | −0.296243 | − | 0.955113i | \(-0.595734\pi\) | ||||
−0.296243 | + | 0.955113i | \(0.595734\pi\) | |||||||
\(594\) | 29.6460 | + | 5.42060i | 1.21639 | + | 0.222410i | ||||
\(595\) | −25.0450 | − | 8.51286i | −1.02674 | − | 0.348993i | ||||
\(596\) | 7.22319 | + | 23.4580i | 0.295873 | + | 0.960878i | ||||
\(597\) | −26.0209 | − | 24.9587i | −1.06496 | − | 1.02149i | ||||
\(598\) | −38.1867 | + | 22.9969i | −1.56157 | + | 0.940414i | ||||
\(599\) | −2.15985 | −0.0882491 | −0.0441245 | − | 0.999026i | \(-0.514050\pi\) | ||||
−0.0441245 | + | 0.999026i | \(0.514050\pi\) | |||||||
\(600\) | −23.8491 | + | 1.82068i | −0.973635 | + | 0.0743289i | ||||
\(601\) | −37.1400 | −1.51497 | −0.757486 | − | 0.652852i | \(-0.773572\pi\) | ||||
−0.757486 | + | 0.652852i | \(0.773572\pi\) | |||||||
\(602\) | −16.0782 | − | 10.3282i | −0.655298 | − | 0.420948i | ||||
\(603\) | −28.3606 | + | 30.8282i | −1.15493 | + | 1.25542i | ||||
\(604\) | −7.13232 | + | 13.4789i | −0.290210 | + | 0.548450i | ||||
\(605\) | −12.9367 | − | 12.9367i | −0.525951 | − | 0.525951i | ||||
\(606\) | 10.7374 | + | 2.42944i | 0.436177 | + | 0.0986891i | ||||
\(607\) | − | 23.9590i | − | 0.972466i | −0.873829 | − | 0.486233i | \(-0.838371\pi\) | ||
0.873829 | − | 0.486233i | \(-0.161629\pi\) | |||||||
\(608\) | −12.5976 | − | 5.79782i | −0.510899 | − | 0.235133i | ||||
\(609\) | −3.30498 | − | 6.37034i | −0.133924 | − | 0.258139i | ||||
\(610\) | 9.72027 | − | 39.1527i | 0.393562 | − | 1.58524i | ||||
\(611\) | −26.4980 | + | 26.4980i | −1.07199 | + | 1.07199i | ||||
\(612\) | 8.21464 | − | 17.2238i | 0.332057 | − | 0.696233i | ||||
\(613\) | −17.2986 | + | 17.2986i | −0.698684 | + | 0.698684i | −0.964127 | − | 0.265443i | \(-0.914482\pi\) |
0.265443 | + | 0.964127i | \(0.414482\pi\) | |||||||
\(614\) | 31.4178 | − | 18.9205i | 1.26792 | − | 0.763569i | ||||
\(615\) | 0.511837 | + | 24.5648i | 0.0206393 | + | 0.990550i | ||||
\(616\) | −26.7383 | + | 15.0656i | −1.07732 | + | 0.607010i | ||||
\(617\) | 33.2050 | 1.33678 | 0.668392 | − | 0.743809i | \(-0.266983\pi\) | ||||
0.668392 | + | 0.743809i | \(0.266983\pi\) | |||||||
\(618\) | −0.304118 | − | 0.481980i | −0.0122334 | − | 0.0193881i | ||||
\(619\) | −14.3872 | − | 14.3872i | −0.578269 | − | 0.578269i | 0.356157 | − | 0.934426i | \(-0.384087\pi\) |
−0.934426 | + | 0.356157i | \(0.884087\pi\) | |||||||
\(620\) | −17.0008 | − | 55.2120i | −0.682770 | − | 2.21737i | ||||
\(621\) | 26.8079 | − | 30.3872i | 1.07576 | − | 1.21940i | ||||
\(622\) | −10.0254 | + | 40.3818i | −0.401983 | + | 1.61916i | ||||
\(623\) | −4.19881 | + | 2.06853i | −0.168222 | + | 0.0828737i | ||||
\(624\) | −16.2307 | − | 22.8195i | −0.649747 | − | 0.913509i | ||||
\(625\) | 25.5745 | 1.02298 | ||||||||
\(626\) | −16.9213 | − | 4.20097i | −0.676310 | − | 0.167905i | ||||
\(627\) | 12.5675 | + | 12.0544i | 0.501897 | + | 0.481408i | ||||
\(628\) | 8.99843 | − | 2.77079i | 0.359076 | − | 0.110567i | ||||
\(629\) | −4.33314 | + | 4.33314i | −0.172773 | + | 0.172773i | ||||
\(630\) | 17.8184 | − | 30.4578i | 0.709902 | − | 1.21347i | ||||
\(631\) | − | 27.6812i | − | 1.10197i | −0.834515 | − | 0.550985i | \(-0.814252\pi\) | ||
0.834515 | − | 0.550985i | \(-0.185748\pi\) | |||||||
\(632\) | 3.61955 | + | 3.23944i | 0.143978 | + | 0.128858i | ||||
\(633\) | 0.116294 | + | 5.58133i | 0.00462225 | + | 0.221838i | ||||
\(634\) | 0.0594375 | − | 0.0357946i | 0.00236056 | − | 0.00142159i | ||||
\(635\) | −2.14155 | + | 2.14155i | −0.0849847 | + | 0.0849847i | ||||
\(636\) | −9.67035 | + | 19.2343i | −0.383454 | + | 0.762688i | ||||
\(637\) | −3.67043 | − | 28.0540i | −0.145428 | − | 1.11154i | ||||
\(638\) | −8.81554 | − | 2.18860i | −0.349011 | − | 0.0866474i | ||||
\(639\) | 1.66644 | + | 39.9719i | 0.0659235 | + | 1.58126i | ||||
\(640\) | 21.6025 | + | 28.2537i | 0.853914 | + | 1.11683i | ||||
\(641\) | 13.2304i | 0.522570i | 0.965262 | + | 0.261285i | \(0.0841462\pi\) | ||||
−0.965262 | + | 0.261285i | \(0.915854\pi\) | |||||||
\(642\) | 2.48261 | − | 10.9724i | 0.0979808 | − | 0.433047i | ||||
\(643\) | 7.38127 | − | 7.38127i | 0.291089 | − | 0.291089i | −0.546421 | − | 0.837510i | \(-0.684010\pi\) |
0.837510 | + | 0.546421i | \(0.184010\pi\) | |||||||
\(644\) | −1.19426 | + | 41.2485i | −0.0470605 | + | 1.62542i | ||||
\(645\) | 19.2498 | − | 20.0691i | 0.757961 | − | 0.790219i | ||||
\(646\) | 9.44567 | − | 5.68840i | 0.371635 | − | 0.223807i | ||||
\(647\) | 28.9588i | 1.13849i | 0.822169 | + | 0.569244i | \(0.192764\pi\) | ||||
−0.822169 | + | 0.569244i | \(0.807236\pi\) | |||||||
\(648\) | 20.3156 | + | 15.3387i | 0.798074 | + | 0.602560i | ||||
\(649\) | 2.73332 | 0.107292 | ||||||||
\(650\) | −14.3975 | − | 23.9072i | −0.564716 | − | 0.937719i | ||||
\(651\) | 40.1405 | + | 12.7174i | 1.57323 | + | 0.498435i | ||||
\(652\) | 5.13092 | + | 16.6632i | 0.200942 | + | 0.652581i | ||||
\(653\) | 23.4762 | − | 23.4762i | 0.918695 | − | 0.918695i | −0.0782393 | − | 0.996935i | \(-0.524930\pi\) |
0.996935 | + | 0.0782393i | \(0.0249298\pi\) | |||||||
\(654\) | −5.02703 | + | 22.2180i | −0.196572 | + | 0.868793i | ||||
\(655\) | −33.5855 | −1.31230 | ||||||||
\(656\) | 14.9236 | − | 10.1532i | 0.582670 | − | 0.396417i | ||||
\(657\) | 1.00694 | + | 24.1527i | 0.0392843 | + | 0.942286i | ||||
\(658\) | 7.38082 | + | 33.8962i | 0.287734 | + | 1.32141i | ||||
\(659\) | 10.7532 | − | 10.7532i | 0.418885 | − | 0.418885i | −0.465934 | − | 0.884819i | \(-0.654282\pi\) |
0.884819 | + | 0.465934i | \(0.154282\pi\) | |||||||
\(660\) | −14.0294 | − | 42.4005i | −0.546094 | − | 1.65044i | ||||
\(661\) | 31.4992 | + | 31.4992i | 1.22518 | + | 1.22518i | 0.965768 | + | 0.259409i | \(0.0835277\pi\) |
0.259409 | + | 0.965768i | \(0.416472\pi\) | |||||||
\(662\) | −13.6109 | + | 8.19681i | −0.529004 | + | 0.318578i | ||||
\(663\) | 22.2604 | − | 0.463821i | 0.864521 | − | 0.0180133i | ||||
\(664\) | 0.481415 | + | 8.68708i | 0.0186825 | + | 0.337124i | ||||
\(665\) | 18.2905 | − | 9.01074i | 0.709276 | − | 0.349422i | ||||
\(666\) | −4.50531 | − | 6.82109i | −0.174577 | − | 0.264312i | ||||
\(667\) | −8.63589 | + | 8.63589i | −0.334383 | + | 0.334383i | ||||
\(668\) | −12.2803 | + | 23.2078i | −0.475140 | + | 0.897938i | ||||
\(669\) | 7.07758 | − | 7.37879i | 0.273635 | − | 0.285281i | ||||
\(670\) | 60.2473 | + | 14.9573i | 2.32756 | + | 0.577853i | ||||
\(671\) | 37.2147 | 1.43666 | ||||||||
\(672\) | −25.8940 | + | 1.22438i | −0.998884 | + | 0.0472315i | ||||
\(673\) | 20.2590 | 0.780926 | 0.390463 | − | 0.920619i | \(-0.372315\pi\) | ||||
0.390463 | + | 0.920619i | \(0.372315\pi\) | |||||||
\(674\) | 47.4109 | + | 11.7705i | 1.82620 | + | 0.453383i | ||||
\(675\) | 19.0243 | + | 16.7834i | 0.732244 | + | 0.645993i | ||||
\(676\) | 3.12119 | − | 5.89855i | 0.120046 | − | 0.226867i | ||||
\(677\) | 1.04757 | − | 1.04757i | 0.0402613 | − | 0.0402613i | −0.686690 | − | 0.726951i | \(-0.740937\pi\) |
0.726951 | + | 0.686690i | \(0.240937\pi\) | |||||||
\(678\) | −5.91037 | + | 3.72931i | −0.226987 | + | 0.143223i | ||||
\(679\) | −7.70930 | + | 3.79795i | −0.295856 | + | 0.145752i | ||||
\(680\) | −28.2353 | + | 1.56473i | −1.08277 | + | 0.0600045i | ||||
\(681\) | −0.508370 | − | 24.3985i | −0.0194808 | − | 0.934951i | ||||
\(682\) | 45.6534 | − | 27.4935i | 1.74816 | − | 1.05278i | ||||
\(683\) | 2.84341 | + | 2.84341i | 0.108800 | + | 0.108800i | 0.759411 | − | 0.650611i | \(-0.225487\pi\) |
−0.650611 | + | 0.759411i | \(0.725487\pi\) | |||||||
\(684\) | 4.91041 | + | 13.8651i | 0.187754 | + | 0.530145i | ||||
\(685\) | 0.800752 | − | 0.800752i | 0.0305952 | − | 0.0305952i | ||||
\(686\) | −23.6868 | − | 11.1774i | −0.904367 | − | 0.426755i | ||||
\(687\) | −0.748866 | − | 35.9407i | −0.0285710 | − | 1.37122i | ||||
\(688\) | −20.0692 | − | 3.81779i | −0.765132 | − | 0.145552i | ||||
\(689\) | −25.1191 | −0.956961 | ||||||||
\(690\) | −58.5700 | − | 13.2520i | −2.22972 | − | 0.504495i | ||||
\(691\) | −20.4173 | + | 20.4173i | −0.776709 | + | 0.776709i | −0.979270 | − | 0.202560i | \(-0.935074\pi\) |
0.202560 | + | 0.979270i | \(0.435074\pi\) | |||||||
\(692\) | 5.25795 | + | 17.0757i | 0.199877 | + | 0.649122i | ||||
\(693\) | 31.2301 | + | 9.18307i | 1.18633 | + | 0.348836i | ||||
\(694\) | −16.6203 | − | 27.5982i | −0.630896 | − | 1.04761i | ||||
\(695\) | 32.9159 | 1.24857 | ||||||||
\(696\) | −5.82224 | − | 4.99633i | −0.220691 | − | 0.189386i | ||||
\(697\) | 14.3516i | 0.543607i | ||||||||
\(698\) | −0.809390 | + | 0.487433i | −0.0306359 | + | 0.0184496i | ||||
\(699\) | −16.6604 | − | 15.9803i | −0.630155 | − | 0.604431i | ||||
\(700\) | −25.8241 | − | 0.747681i | −0.976059 | − | 0.0282597i | ||||
\(701\) | 15.5364 | − | 15.5364i | 0.586803 | − | 0.586803i | −0.349961 | − | 0.936764i | \(-0.613805\pi\) |
0.936764 | + | 0.349961i | \(0.113805\pi\) | |||||||
\(702\) | −5.34219 | + | 29.2172i | −0.201628 | + | 1.10273i | ||||
\(703\) | − | 4.72350i | − | 0.178150i | ||||||
\(704\) | −20.4943 | + | 25.6213i | −0.772409 | + | 0.965638i | ||||
\(705\) | −50.4710 | + | 1.05162i | −1.90085 | + | 0.0396064i | ||||
\(706\) | −35.0710 | − | 8.70693i | −1.31991 | − | 0.327689i | ||||
\(707\) | 11.2583 | + | 3.82672i | 0.423412 | + | 0.143919i | ||||
\(708\) | 2.06269 | + | 1.03705i | 0.0775206 | + | 0.0389748i | ||||
\(709\) | 12.0126 | − | 12.0126i | 0.451143 | − | 0.451143i | −0.444591 | − | 0.895734i | \(-0.646651\pi\) |
0.895734 | + | 0.444591i | \(0.146651\pi\) | |||||||
\(710\) | 50.7878 | − | 30.5856i | 1.90603 | − | 1.14786i | ||||
\(711\) | −0.214608 | − | 5.14767i | −0.00804844 | − | 0.193053i | ||||
\(712\) | −3.33706 | + | 3.72863i | −0.125062 | + | 0.139736i | ||||
\(713\) | − | 71.6563i | − | 2.68355i | ||||||
\(714\) | 10.7762 | − | 17.5700i | 0.403290 | − | 0.657540i | ||||
\(715\) | 36.8475 | − | 36.8475i | 1.37802 | − | 1.37802i | ||||
\(716\) | 18.6700 | − | 5.74885i | 0.697730 | − | 0.214845i | ||||
\(717\) | −18.9840 | + | 19.7920i | −0.708972 | + | 0.739145i | ||||
\(718\) | −0.320682 | − | 0.0796143i | −0.0119677 | − | 0.00297118i | ||||
\(719\) | −13.2223 | −0.493110 | −0.246555 | − | 0.969129i | \(-0.579299\pi\) | ||||
−0.246555 | + | 0.969129i | \(0.579299\pi\) | |||||||
\(720\) | 5.49997 | − | 37.3203i | 0.204972 | − | 1.39085i | ||||
\(721\) | −0.272037 | − | 0.552196i | −0.0101312 | − | 0.0205648i | ||||
\(722\) | 4.42649 | − | 17.8297i | 0.164737 | − | 0.663551i | ||||
\(723\) | −5.72339 | + | 5.96697i | −0.212855 | + | 0.221914i | ||||
\(724\) | −0.662962 | − | 2.15304i | −0.0246388 | − | 0.0800170i | ||||
\(725\) | −5.40660 | − | 5.40660i | −0.200796 | − | 0.200796i | ||||
\(726\) | 12.0562 | − | 7.60716i | 0.447447 | − | 0.282328i | ||||
\(727\) | 27.4097 | 1.01657 | 0.508284 | − | 0.861190i | \(-0.330280\pi\) | ||||
0.508284 | + | 0.861190i | \(0.330280\pi\) | |||||||
\(728\) | −14.8477 | − | 26.3515i | −0.550291 | − | 0.976653i | ||||
\(729\) | −3.36619 | − | 26.7893i | −0.124674 | − | 0.992198i | ||||
\(730\) | 30.6881 | − | 18.4811i | 1.13582 | − | 0.684016i | ||||
\(731\) | 11.4857 | − | 11.4857i | 0.424815 | − | 0.424815i | ||||
\(732\) | 28.0840 | + | 14.1197i | 1.03801 | + | 0.521878i | ||||
\(733\) | 7.60650 | − | 7.60650i | 0.280953 | − | 0.280953i | −0.552536 | − | 0.833489i | \(-0.686340\pi\) |
0.833489 | + | 0.552536i | \(0.186340\pi\) | |||||||
\(734\) | 8.51188 | − | 34.2853i | 0.314179 | − | 1.26550i | ||||
\(735\) | 22.5923 | − | 30.6968i | 0.833329 | − | 1.13227i | ||||
\(736\) | 15.2953 | + | 41.3785i | 0.563794 | + | 1.52523i | ||||
\(737\) | 57.2652i | 2.10939i | ||||||||
\(738\) | −18.7569 | − | 3.83502i | −0.690451 | − | 0.141169i | ||||
\(739\) | −11.0649 | − | 11.0649i | −0.407030 | − | 0.407030i | 0.473672 | − | 0.880702i | \(-0.342928\pi\) |
−0.880702 | + | 0.473672i | \(0.842928\pi\) | |||||||
\(740\) | −5.66585 | + | 10.7075i | −0.208281 | + | 0.393617i | ||||
\(741\) | −11.8801 | + | 12.3857i | −0.436426 | + | 0.454999i | ||||
\(742\) | −12.5678 | + | 19.5645i | −0.461377 | + | 0.718235i | ||||
\(743\) | −37.0603 | −1.35961 | −0.679805 | − | 0.733392i | \(-0.737936\pi\) | ||||
−0.679805 | + | 0.733392i | \(0.737936\pi\) | |||||||
\(744\) | 44.8836 | − | 3.42649i | 1.64551 | − | 0.125621i | ||||
\(745\) | −38.5800 | −1.41346 | ||||||||
\(746\) | 19.1494 | − | 11.5322i | 0.701110 | − | 0.422224i | ||||
\(747\) | 6.24784 | − | 6.79145i | 0.228596 | − | 0.248486i | ||||
\(748\) | −7.67699 | − | 24.9318i | −0.280699 | − | 0.911597i | ||||
\(749\) | 3.91048 | − | 11.5047i | 0.142886 | − | 0.420373i | ||||
\(750\) | −0.199943 | + | 0.883690i | −0.00730089 | + | 0.0322678i | ||||
\(751\) | 26.5089 | 0.967324 | 0.483662 | − | 0.875255i | \(-0.339306\pi\) | ||||
0.483662 | + | 0.875255i | \(0.339306\pi\) | |||||||
\(752\) | 20.8609 | + | 30.6622i | 0.760718 | + | 1.11813i | ||||
\(753\) | −16.9128 | + | 0.352398i | −0.616336 | + | 0.0128421i | ||||
\(754\) | 2.15694 | − | 8.68802i | 0.0785511 | − | 0.316399i | ||||
\(755\) | −16.9490 | − | 16.9490i | −0.616838 | − | 0.616838i | ||||
\(756\) | 20.0835 | + | 18.7790i | 0.730431 | + | 0.682986i | ||||
\(757\) | −10.4760 | + | 10.4760i | −0.380755 | + | 0.380755i | −0.871374 | − | 0.490619i | \(-0.836771\pi\) |
0.490619 | + | 0.871374i | \(0.336771\pi\) | |||||||
\(758\) | −22.3605 | + | 13.4660i | −0.812168 | + | 0.489106i | ||||
\(759\) | −1.15400 | − | 55.3844i | −0.0418875 | − | 2.01033i | ||||
\(760\) | 14.5366 | − | 16.2423i | 0.527299 | − | 0.589171i | ||||
\(761\) | − | 2.06229i | − | 0.0747578i | −0.999301 | − | 0.0373789i | \(-0.988099\pi\) | ||
0.999301 | − | 0.0373789i | \(-0.0119008\pi\) | |||||||
\(762\) | −1.25930 | − | 1.99579i | −0.0456195 | − | 0.0722998i | ||||
\(763\) | −7.91832 | + | 23.2959i | −0.286663 | + | 0.843366i | ||||
\(764\) | 0.701064 | − | 1.32490i | 0.0253636 | − | 0.0479331i | ||||
\(765\) | 22.0740 | + | 20.3071i | 0.798088 | + | 0.734206i | ||||
\(766\) | −19.3128 | − | 4.79472i | −0.697801 | − | 0.173240i | ||||
\(767\) | 2.69378i | 0.0972668i | ||||||||
\(768\) | −25.1870 | + | 11.5592i | −0.908857 | + | 0.417108i | ||||
\(769\) | − | 29.0064i | − | 1.04600i | −0.852333 | − | 0.522999i | \(-0.824813\pi\) | ||
0.852333 | − | 0.522999i | \(-0.175187\pi\) | |||||||
\(770\) | −10.2636 | − | 47.1352i | −0.369874 | − | 1.69863i | ||||
\(771\) | −33.0714 | − | 31.7213i | −1.19104 | − | 1.14242i | ||||
\(772\) | 7.08839 | + | 3.75079i | 0.255117 | + | 0.134994i | ||||
\(773\) | 26.8815 | − | 26.8815i | 0.966861 | − | 0.966861i | −0.0326072 | − | 0.999468i | \(-0.510381\pi\) |
0.999468 | + | 0.0326072i | \(0.0103810\pi\) | |||||||
\(774\) | 11.9421 | + | 18.0805i | 0.429250 | + | 0.649890i | ||||
\(775\) | 44.8613 | 1.61146 | ||||||||
\(776\) | −6.12707 | + | 6.84601i | −0.219949 | + | 0.245757i | ||||
\(777\) | −4.06622 | − | 7.83763i | −0.145875 | − | 0.281174i | ||||
\(778\) | −14.2814 | − | 23.7145i | −0.512014 | − | 0.850207i | ||||
\(779\) | −7.82227 | − | 7.82227i | −0.280262 | − | 0.280262i | ||||
\(780\) | 41.7872 | − | 13.8265i | 1.49622 | − | 0.495067i | ||||
\(781\) | 38.6728 | + | 38.6728i | 1.38382 | + | 1.38382i | ||||
\(782\) | −34.0425 | − | 8.45159i | −1.21736 | − | 0.302228i | ||||
\(783\) | 0.508261 | + | 8.12165i | 0.0181638 | + | 0.290244i | ||||
\(784\) | −27.9531 | − | 1.62000i | −0.998325 | − | 0.0578572i | ||||
\(785\) | 14.7991i | 0.528204i | ||||||||
\(786\) | 5.77515 | − | 25.5245i | 0.205993 | − | 0.910428i | ||||
\(787\) | 30.9792 | − | 30.9792i | 1.10429 | − | 1.10429i | 0.110401 | − | 0.993887i | \(-0.464786\pi\) |
0.993887 | − | 0.110401i | \(-0.0352136\pi\) | |||||||
\(788\) | 2.61398 | + | 8.48916i | 0.0931191 | + | 0.302414i | ||||
\(789\) | −16.8504 | − | 16.1625i | −0.599889 | − | 0.575401i | ||||
\(790\) | −6.54057 | + | 3.93888i | −0.232703 | + | 0.140139i | ||||
\(791\) | −6.77141 | + | 3.33591i | −0.240764 | + | 0.118611i | ||||
\(792\) | 34.6361 | − | 3.37122i | 1.23074 | − | 0.119791i | ||||
\(793\) | 36.6764i | 1.30242i | ||||||||
\(794\) | 24.8242 | − | 14.9497i | 0.880977 | − | 0.530544i | ||||
\(795\) | −24.4207 | − | 23.4238i | −0.866114 | − | 0.830758i | ||||
\(796\) | −36.7994 | − | 19.4723i | −1.30432 | − | 0.690176i | ||||
\(797\) | 4.29020 | + | 4.29020i | 0.151967 | + | 0.151967i | 0.778996 | − | 0.627029i | \(-0.215729\pi\) |
−0.627029 | + | 0.778996i | \(0.715729\pi\) | |||||||
\(798\) | 3.70290 | + | 15.4499i | 0.131081 | + | 0.546921i | ||||
\(799\) | −29.4869 | −1.04317 | ||||||||
\(800\) | −25.9055 | + | 9.57583i | −0.915898 | + | 0.338557i | ||||
\(801\) | 5.30279 | − | 0.221076i | 0.187365 | − | 0.00781132i | ||||
\(802\) | −9.49186 | + | 38.2326i | −0.335169 | + | 1.35004i | ||||
\(803\) | 23.3677 | + | 23.3677i | 0.824629 | + | 0.824629i | ||||
\(804\) | −21.7271 | + | 43.2150i | −0.766255 | + | 1.52408i | ||||
\(805\) | −61.4113 | − | 20.8739i | −2.16446 | − | 0.735707i | ||||
\(806\) | 27.0958 | + | 44.9930i | 0.954410 | + | 1.58481i | ||||
\(807\) | 0.858782 | + | 41.2159i | 0.0302306 | + | 1.45087i | ||||
\(808\) | 12.6924 | − | 0.703379i | 0.446517 | − | 0.0247448i | ||||
\(809\) | −14.1148 | −0.496251 | −0.248126 | − | 0.968728i | \(-0.579815\pi\) | ||||
−0.248126 | + | 0.968728i | \(0.579815\pi\) | |||||||
\(810\) | −32.4390 | + | 23.4232i | −1.13979 | + | 0.823009i | ||||
\(811\) | 29.4702 | + | 29.4702i | 1.03484 | + | 1.03484i | 0.999371 | + | 0.0354672i | \(0.0112919\pi\) |
0.0354672 | + | 0.999371i | \(0.488708\pi\) | |||||||
\(812\) | −5.68766 | − | 6.02683i | −0.199598 | − | 0.211500i | ||||
\(813\) | 19.5175 | − | 20.3482i | 0.684509 | − | 0.713641i | ||||
\(814\) | −10.8460 | − | 2.69270i | −0.380154 | − | 0.0943791i | ||||
\(815\) | −27.4049 | −0.959952 | ||||||||
\(816\) | 3.66599 | − | 21.7274i | 0.128335 | − | 0.760613i | ||||
\(817\) | 12.5205i | 0.438035i | ||||||||
\(818\) | 11.5372 | + | 2.86429i | 0.403388 | + | 0.100148i | ||||
\(819\) | −9.05023 | + | 30.7783i | −0.316241 | + | 1.07548i | ||||
\(820\) | 8.34920 | + | 27.1149i | 0.291567 | + | 0.946892i | ||||
\(821\) | −16.6585 | − | 16.6585i | −0.581385 | − | 0.581385i | 0.353899 | − | 0.935284i | \(-0.384856\pi\) |
−0.935284 | + | 0.353899i | \(0.884856\pi\) | |||||||
\(822\) | 0.470867 | + | 0.746251i | 0.0164234 | + | 0.0260285i | ||||
\(823\) | − | 9.83628i | − | 0.342871i | −0.985195 | − | 0.171436i | \(-0.945159\pi\) | ||
0.985195 | − | 0.171436i | \(-0.0548406\pi\) | |||||||
\(824\) | −0.490360 | − | 0.438865i | −0.0170825 | − | 0.0152886i | ||||
\(825\) | 34.6741 | − | 0.722474i | 1.20720 | − | 0.0251533i | ||||
\(826\) | 2.09810 | + | 1.34777i | 0.0730024 | + | 0.0468950i | ||||
\(827\) | 25.6159 | + | 25.6159i | 0.890750 | + | 0.890750i | 0.994594 | − | 0.103843i | \(-0.0331140\pi\) |
−0.103843 | + | 0.994594i | \(0.533114\pi\) | |||||||
\(828\) | 20.1426 | − | 42.2335i | 0.700004 | − | 1.46772i | ||||
\(829\) | −25.5631 | + | 25.5631i | −0.887842 | + | 0.887842i | −0.994316 | − | 0.106473i | \(-0.966044\pi\) |
0.106473 | + | 0.994316i | \(0.466044\pi\) | |||||||
\(830\) | −13.2725 | − | 3.29510i | −0.460694 | − | 0.114375i | ||||
\(831\) | 44.5446 | − | 0.928138i | 1.54523 | − | 0.0321968i | ||||
\(832\) | −25.2507 | − | 20.1979i | −0.875409 | − | 0.700235i | ||||
\(833\) | 13.5670 | − | 17.6514i | 0.470068 | − | 0.611586i | ||||
\(834\) | −5.66000 | + | 25.0156i | −0.195990 | + | 0.866218i | ||||
\(835\) | −29.1826 | − | 29.1826i | −1.00990 | − | 1.00990i | ||||
\(836\) | 17.7732 | + | 9.40463i | 0.614700 | + | 0.325266i | ||||
\(837\) | −35.8034 | − | 31.5861i | −1.23755 | − | 1.09177i | ||||
\(838\) | −15.7153 | − | 26.0954i | −0.542874 | − | 0.901451i | ||||
\(839\) | 39.8283i | 1.37502i | 0.726173 | + | 0.687512i | \(0.241297\pi\) | ||||
−0.726173 | + | 0.687512i | \(0.758703\pi\) | |||||||
\(840\) | 10.1382 | − | 39.4645i | 0.349802 | − | 1.36166i | ||||
\(841\) | 26.5474i | 0.915428i | ||||||||
\(842\) | 46.8550 | − | 28.2172i | 1.61473 | − | 0.972428i | ||||
\(843\) | −17.6660 | − | 16.9449i | −0.608451 | − | 0.583613i | ||||
\(844\) | 1.89700 | + | 6.16072i | 0.0652976 | + | 0.212061i | ||||
\(845\) | 7.41710 | + | 7.41710i | 0.255156 | + | 0.255156i | ||||
\(846\) | 7.87945 | − | 38.5380i | 0.270901 | − | 1.32496i | ||||
\(847\) | 13.8126 | − | 6.80469i | 0.474605 | − | 0.233812i | ||||
\(848\) | −4.64562 | + | 24.4209i | −0.159531 | + | 0.838618i | ||||
\(849\) | 0.733764 | + | 35.2159i | 0.0251827 | + | 1.20861i | ||||
\(850\) | 5.29122 | − | 21.3127i | 0.181487 | − | 0.731020i | ||||
\(851\) | −10.6250 | + | 10.6250i | −0.364221 | + | 0.364221i | ||||
\(852\) | 14.5114 | + | 43.8572i | 0.497153 | + | 1.50252i | ||||
\(853\) | 39.2358 | + | 39.2358i | 1.34341 | + | 1.34341i | 0.892641 | + | 0.450768i | \(0.148850\pi\) |
0.450768 | + | 0.892641i | \(0.351150\pi\) | |||||||
\(854\) | 28.5661 | + | 18.3502i | 0.977513 | + | 0.627931i | ||||
\(855\) | −23.0996 | + | 0.963031i | −0.789989 | + | 0.0329350i | ||||
\(856\) | −0.718775 | − | 12.9702i | −0.0245672 | − | 0.443313i | ||||
\(857\) | 26.6809i | 0.911403i | 0.890133 | + | 0.455701i | \(0.150612\pi\) | ||||
−0.890133 | + | 0.455701i | \(0.849388\pi\) | |||||||
\(858\) | 21.6674 | + | 34.3395i | 0.739714 | + | 1.17233i | ||||
\(859\) | −12.1110 | − | 12.1110i | −0.413223 | − | 0.413223i | 0.469637 | − | 0.882860i | \(-0.344385\pi\) |
−0.882860 | + | 0.469637i | \(0.844385\pi\) | |||||||
\(860\) | 15.0183 | − | 28.3822i | 0.512120 | − | 0.967824i | ||||
\(861\) | −19.7132 | − | 6.24558i | −0.671823 | − | 0.212849i | ||||
\(862\) | 7.47139 | − | 30.0943i | 0.254477 | − | 1.02502i | ||||
\(863\) | − | 4.01605i | − | 0.136708i | −0.997661 | − | 0.0683539i | \(-0.978225\pi\) | ||
0.997661 | − | 0.0683539i | \(-0.0217747\pi\) | |||||||
\(864\) | 27.4171 | + | 10.5972i | 0.932749 | + | 0.360526i | ||||
\(865\) | −28.0834 | −0.954864 | ||||||||
\(866\) | −12.3261 | + | 49.6488i | −0.418858 | + | 1.68713i | ||||
\(867\) | −8.60616 | − | 8.25484i | −0.292281 | − | 0.280349i | ||||
\(868\) | 48.6005 | + | 1.40712i | 1.64961 | + | 0.0477609i | ||||
\(869\) | −4.98037 | − | 4.98037i | −0.168947 | − | 0.168947i | ||||
\(870\) | 10.1987 | − | 6.43511i | 0.345767 | − | 0.218171i | ||||
\(871\) | −56.4369 | −1.91229 | ||||||||
\(872\) | 1.45544 | + | 26.2633i | 0.0492876 | + | 0.889389i | ||||
\(873\) | 9.73628 | − | 0.405910i | 0.329523 | − | 0.0137380i | ||||
\(874\) | 23.1612 | − | 13.9482i | 0.783438 | − | 0.471804i | ||||
\(875\) | −0.314940 | + | 0.926560i | −0.0106469 | + | 0.0313234i | ||||
\(876\) | 8.76840 | + | 26.5004i | 0.296257 | + | 0.895364i | ||||
\(877\) | −34.9566 | − | 34.9566i | −1.18040 | − | 1.18040i | −0.979640 | − | 0.200762i | \(-0.935658\pi\) |
−0.200762 | − | 0.979640i | \(-0.564342\pi\) | |||||||
\(878\) | −33.2687 | − | 8.25949i | −1.12277 | − | 0.278744i | ||||
\(879\) | 37.2939 | − | 0.777061i | 1.25789 | − | 0.0262096i | ||||
\(880\) | −29.0086 | − | 42.6380i | −0.977880 | − | 1.43733i | ||||
\(881\) | −48.8805 | −1.64683 | −0.823413 | − | 0.567442i | \(-0.807933\pi\) | ||||
−0.823413 | + | 0.567442i | \(0.807933\pi\) | |||||||
\(882\) | 19.4442 | + | 22.4482i | 0.654722 | + | 0.755870i | ||||
\(883\) | 16.8127 | + | 16.8127i | 0.565794 | + | 0.565794i | 0.930947 | − | 0.365154i | \(-0.118984\pi\) |
−0.365154 | + | 0.930947i | \(0.618984\pi\) | |||||||
\(884\) | 24.5712 | − | 7.56594i | 0.826418 | − | 0.254470i | ||||
\(885\) | −2.51198 | + | 2.61889i | −0.0844393 | + | 0.0880330i | ||||
\(886\) | 17.7371 | + | 29.4527i | 0.595890 | + | 0.989484i | ||||
\(887\) | − | 21.7785i | − | 0.731252i | −0.930762 | − | 0.365626i | \(-0.880855\pi\) | ||
0.930762 | − | 0.365626i | \(-0.119145\pi\) | |||||||
\(888\) | −7.16329 | − | 6.14715i | −0.240384 | − | 0.206285i | ||||
\(889\) | −1.12645 | − | 2.28654i | −0.0377800 | − | 0.0766881i | ||||
\(890\) | −4.05758 | − | 6.73767i | −0.136010 | − | 0.225847i | ||||
\(891\) | −28.1817 | − | 23.8368i | −0.944123 | − | 0.798564i | ||||
\(892\) | 5.52178 | − | 10.4353i | 0.184883 | − | 0.349399i | ||||
\(893\) | 16.0717 | − | 16.0717i | 0.537818 | − | 0.537818i | ||||
\(894\) | 6.63395 | − | 29.3201i | 0.221873 | − | 0.980612i | ||||
\(895\) | 30.7053i | 1.02637i | ||||||||
\(896\) | −28.3651 | + | 9.56143i | −0.947612 | + | 0.319425i | ||||
\(897\) | 54.5833 | − | 1.13731i | 1.82248 | − | 0.0379736i | ||||
\(898\) | −5.80022 | + | 23.3630i | −0.193556 | + | 0.779632i | ||||
\(899\) | 10.1751 | + | 10.1751i | 0.339360 | + | 0.339360i | ||||
\(900\) | 26.4408 | + | 12.6105i | 0.881359 | + | 0.420351i | ||||
\(901\) | −13.9762 | − | 13.9762i | −0.465616 | − | 0.465616i | ||||
\(902\) | −22.4206 | + | 13.5022i | −0.746525 | + | 0.449574i | ||||
\(903\) | 10.7782 | + | 20.7750i | 0.358677 | + | 0.691349i | ||||
\(904\) | −5.38167 | + | 6.01315i | −0.178992 | + | 0.199994i | ||||
\(905\) | 3.54097 | 0.117706 | ||||||||
\(906\) | 15.7954 | − | 9.96654i | 0.524768 | − | 0.331116i | ||||
\(907\) | 18.0784 | − | 18.0784i | 0.600282 | − | 0.600282i | −0.340105 | − | 0.940387i | \(-0.610463\pi\) |
0.940387 | + | 0.340105i | \(0.110463\pi\) | |||||||
\(908\) | −8.29264 | − | 26.9312i | −0.275201 | − | 0.893743i | ||||
\(909\) | −9.92276 | − | 9.12851i | −0.329117 | − | 0.302774i | ||||
\(910\) | 46.4534 | − | 10.1151i | 1.53991 | − | 0.335313i | ||||
\(911\) | − | 9.05700i | − | 0.300072i | −0.988681 | − | 0.150036i | \(-0.952061\pi\) | ||
0.988681 | − | 0.150036i | \(-0.0479389\pi\) | |||||||
\(912\) | 9.84429 | + | 13.8405i | 0.325977 | + | 0.458306i | ||||
\(913\) | − | 12.6155i | − | 0.417513i | ||||||
\(914\) | −6.29068 | + | 25.3385i | −0.208077 | + | 0.838122i | ||||
\(915\) | −34.2012 | + | 35.6567i | −1.13066 | + | 1.17877i | ||||
\(916\) | −12.2157 | − | 39.6716i | −0.403617 | − | 1.31079i | ||||
\(917\) | 9.09672 | − | 26.7627i | 0.300400 | − | 0.883783i | ||||
\(918\) | −19.2288 | + | 13.2840i | −0.634645 | + | 0.438438i | ||||
\(919\) | − | 48.0828i | − | 1.58611i | −0.609152 | − | 0.793053i | \(-0.708490\pi\) | ||
0.609152 | − | 0.793053i | \(-0.291510\pi\) | |||||||
\(920\) | −69.2341 | + | 3.83677i | −2.28258 | + | 0.126495i | ||||
\(921\) | −44.9078 | + | 0.935707i | −1.47976 | + | 0.0308326i | ||||
\(922\) | −0.645424 | − | 1.07174i | −0.0212559 | − | 0.0352958i | ||||
\(923\) | −38.1134 | + | 38.1134i | −1.25452 | + | 1.25452i | ||||
\(924\) | 37.5868 | + | 0.304897i | 1.23652 | + | 0.0100304i | ||||
\(925\) | −6.65191 | − | 6.65191i | −0.218714 | − | 0.218714i | ||||
\(926\) | −46.1254 | − | 11.4514i | −1.51578 | − | 0.376315i | ||||
\(927\) | 0.0290742 | + | 0.697383i | 0.000954921 | + | 0.0229051i | ||||
\(928\) | −8.04763 | − | 3.70379i | −0.264177 | − | 0.121583i | ||||
\(929\) | 23.0115 | 0.754981 | 0.377491 | − | 0.926013i | \(-0.376787\pi\) | ||||
0.377491 | + | 0.926013i | \(0.376787\pi\) | |||||||
\(930\) | −15.6140 | + | 69.0093i | −0.512003 | + | 2.26291i | ||||
\(931\) | 2.22620 | + | 17.0154i | 0.0729609 | + | 0.557658i | ||||
\(932\) | −23.5616 | − | 12.4675i | −0.771785 | − | 0.408387i | ||||
\(933\) | 35.2749 | − | 36.7761i | 1.15485 | − | 1.20400i | ||||
\(934\) | 14.4402 | + | 23.9782i | 0.472499 | + | 0.784591i | ||||
\(935\) | 41.0038 | 1.34097 | ||||||||
\(936\) | 3.32246 | + | 34.1351i | 0.108598 | + | 1.11574i | ||||
\(937\) | 45.2201 | 1.47728 | 0.738638 | − | 0.674102i | \(-0.235469\pi\) | ||||
0.738638 | + | 0.674102i | \(0.235469\pi\) | |||||||
\(938\) | −28.2369 | + | 43.9570i | −0.921968 | + | 1.43525i | ||||
\(939\) | 15.4104 | + | 14.7813i | 0.502899 | + | 0.482369i | ||||
\(940\) | −55.7103 | + | 17.1543i | −1.81707 | + | 0.559511i | ||||
\(941\) | 5.39416 | + | 5.39416i | 0.175845 | + | 0.175845i | 0.789542 | − | 0.613697i | \(-0.210318\pi\) |
−0.613697 | + | 0.789542i | \(0.710318\pi\) | |||||||
\(942\) | −11.2471 | − | 2.54476i | −0.366451 | − | 0.0829129i | ||||
\(943\) | 35.1908i | 1.14597i | ||||||||
\(944\) | 2.61891 | + | 0.498198i | 0.0852382 | + | 0.0162150i | ||||
\(945\) | −37.4998 | + | 21.4832i | −1.21987 | + | 0.698849i | ||||
\(946\) | 28.7493 | + | 7.13747i | 0.934721 | + | 0.232059i | ||||
\(947\) | −22.9646 | + | 22.9646i | −0.746249 | + | 0.746249i | −0.973773 | − | 0.227523i | \(-0.926937\pi\) |
0.227523 | + | 0.973773i | \(0.426937\pi\) | |||||||
\(948\) | −1.86881 | − | 5.64803i | −0.0606962 | − | 0.183439i | ||||
\(949\) | −23.0297 | + | 23.0297i | −0.747576 | + | 0.747576i | ||||
\(950\) | 8.73242 | + | 14.5003i | 0.283317 | + | 0.470452i | ||||
\(951\) | −0.0849587 | + | 0.00177021i | −0.00275497 | + | 5.74031e-5i | ||||
\(952\) | 6.40074 | − | 22.9232i | 0.207449 | − | 0.742945i | ||||
\(953\) | 25.7600 | 0.834447 | 0.417224 | − | 0.908804i | \(-0.363003\pi\) | ||||
0.417224 | + | 0.908804i | \(0.363003\pi\) | |||||||
\(954\) | 22.0010 | − | 14.5316i | 0.712308 | − | 0.470477i | ||||
\(955\) | 1.66599 | + | 1.66599i | 0.0539101 | + | 0.0539101i | ||||
\(956\) | −14.8110 | + | 27.9903i | −0.479021 | + | 0.905272i | ||||
\(957\) | 8.02840 | + | 7.70067i | 0.259521 | + | 0.248927i | ||||
\(958\) | −48.5361 | − | 12.0499i | −1.56813 | − | 0.389314i | ||||
\(959\) | 0.421195 | + | 0.854966i | 0.0136011 | + | 0.0276083i | ||||
\(960\) | −5.71391 | − | 43.1829i | −0.184416 | − | 1.39372i | ||||
\(961\) | −53.4282 | −1.72349 | ||||||||
\(962\) | 2.65375 | − | 10.6892i | 0.0855604 | − | 0.344632i | ||||
\(963\) | −9.32831 | + | 10.1399i | −0.300600 | + | 0.326755i | ||||
\(964\) | −4.46527 | + | 8.43864i | −0.143817 | + | 0.271790i | ||||
\(965\) | −8.91326 | + | 8.91326i | −0.286928 | + | 0.286928i | ||||
\(966\) | 26.4237 | − | 43.0823i | 0.850169 | − | 1.38615i | ||||
\(967\) | 27.5218i | 0.885040i | 0.896759 | + | 0.442520i | \(0.145915\pi\) | ||||
−0.896759 | + | 0.442520i | \(0.854085\pi\) | |||||||
\(968\) | 10.9777 | − | 12.2658i | 0.352837 | − | 0.394238i | ||||
\(969\) | −13.5014 | + | 0.281318i | −0.433729 | + | 0.00903724i | ||||
\(970\) | −7.44998 | − | 12.3708i | −0.239205 | − | 0.397203i | ||||
\(971\) | 26.0683 | − | 26.0683i | 0.836572 | − | 0.836572i | −0.151834 | − | 0.988406i | \(-0.548518\pi\) |
0.988406 | + | 0.151834i | \(0.0485179\pi\) | |||||||
\(972\) | −12.2233 | − | 28.6808i | −0.392062 | − | 0.919939i | ||||
\(973\) | −8.91534 | + | 26.2291i | −0.285813 | + | 0.840866i | ||||
\(974\) | −3.49285 | + | 14.0690i | −0.111918 | + | 0.450799i | ||||
\(975\) | 0.712024 | + | 34.1725i | 0.0228030 | + | 1.09440i | ||||
\(976\) | 35.6570 | + | 6.78308i | 1.14135 | + | 0.217121i | ||||
\(977\) | − | 23.8813i | − | 0.764029i | −0.924156 | − | 0.382015i | \(-0.875230\pi\) | ||
0.924156 | − | 0.382015i | \(-0.124770\pi\) | |||||||
\(978\) | 4.71237 | − | 20.8273i | 0.150685 | − | 0.665983i | ||||
\(979\) | 5.13045 | − | 5.13045i | 0.163970 | − | 0.163970i | ||||
\(980\) | 15.3635 | − | 41.2420i | 0.490770 | − | 1.31743i | ||||
\(981\) | 18.8889 | − | 20.5324i | 0.603075 | − | 0.655548i | ||||
\(982\) | −1.55450 | − | 2.58127i | −0.0496060 | − | 0.0823716i | ||||
\(983\) | 27.8116i | 0.887053i | 0.896261 | + | 0.443526i | \(0.146273\pi\) | ||||
−0.896261 | + | 0.443526i | \(0.853727\pi\) | |||||||
\(984\) | −22.0425 | + | 1.68276i | −0.702690 | + | 0.0536445i | ||||
\(985\) | −13.9616 | −0.444853 | ||||||||
\(986\) | 6.03412 | − | 3.63389i | 0.192166 | − | 0.115727i | ||||
\(987\) | 12.8322 | − | 40.5028i | 0.408453 | − | 1.28922i | ||||
\(988\) | −9.26859 | + | 17.5161i | −0.294873 | + | 0.557262i | ||||
\(989\) | 28.1634 | − | 28.1634i | 0.895545 | − | 0.895545i | ||||
\(990\) | −10.9570 | + | 53.5900i | −0.348235 | + | 1.70320i | ||||
\(991\) | −0.829975 | −0.0263650 | −0.0131825 | − | 0.999913i | \(-0.504196\pi\) | ||||
−0.0131825 | + | 0.999913i | \(0.504196\pi\) | |||||||
\(992\) | 48.7537 | − | 18.0215i | 1.54793 | − | 0.572185i | ||||
\(993\) | 19.4552 | − | 0.405371i | 0.617391 | − | 0.0128641i | ||||
\(994\) | 10.6162 | + | 48.7545i | 0.336725 | + | 1.54640i | ||||
\(995\) | 46.2732 | − | 46.2732i | 1.46696 | − | 1.46696i | ||||
\(996\) | 4.78647 | − | 9.52026i | 0.151665 | − | 0.301661i | ||||
\(997\) | 1.19522 | + | 1.19522i | 0.0378528 | + | 0.0378528i | 0.725780 | − | 0.687927i | \(-0.241479\pi\) |
−0.687927 | + | 0.725780i | \(0.741479\pi\) | |||||||
\(998\) | −16.4794 | − | 27.3642i | −0.521645 | − | 0.866199i | ||||
\(999\) | 0.625330 | + | 9.99233i | 0.0197846 | + | 0.316143i |
(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 | 336.2.y.a.125.6 | yes | 120 | |
3.2 | odd | 2 | inner | 336.2.y.a.125.55 | yes | 120 | |
7.6 | odd | 2 | inner | 336.2.y.a.125.5 | ✓ | 120 | |
16.5 | even | 4 | inner | 336.2.y.a.293.56 | yes | 120 | |
21.20 | even | 2 | inner | 336.2.y.a.125.56 | yes | 120 | |
48.5 | odd | 4 | inner | 336.2.y.a.293.5 | yes | 120 | |
112.69 | odd | 4 | inner | 336.2.y.a.293.55 | yes | 120 | |
336.293 | even | 4 | inner | 336.2.y.a.293.6 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
336.2.y.a.125.5 | ✓ | 120 | 7.6 | odd | 2 | inner | |
336.2.y.a.125.6 | yes | 120 | 1.1 | even | 1 | trivial | |
336.2.y.a.125.55 | yes | 120 | 3.2 | odd | 2 | inner | |
336.2.y.a.125.56 | yes | 120 | 21.20 | even | 2 | inner | |
336.2.y.a.293.5 | yes | 120 | 48.5 | odd | 4 | inner | |
336.2.y.a.293.6 | yes | 120 | 336.293 | even | 4 | inner | |
336.2.y.a.293.55 | yes | 120 | 112.69 | odd | 4 | inner | |
336.2.y.a.293.56 | yes | 120 | 16.5 | even | 4 | inner |