Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1680,2,Mod(961,1680)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1680, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1680.961");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1680 = 2^{4} \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1680.bg (of order \(3\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(13.4148675396\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\zeta_{12})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 105) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 961.2 | ||
Root | \(-0.866025 - 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1680.961 |
Dual form | 1680.2.bg.o.1201.2 |
$q$-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 \(\left(\mathbb{Z}/1680\mathbb{Z}\right)^\times\).
\(n\) | \(241\) | \(337\) | \(421\) | \(1121\) | \(1471\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) | \(1\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.500000 | − | 0.866025i | −0.288675 | − | 0.500000i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.500000 | + | 0.866025i | −0.223607 | + | 0.387298i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.866025 | + | 2.50000i | 0.327327 | + | 0.944911i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.500000 | + | 0.866025i | −0.166667 | + | 0.288675i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.36603 | − | 2.36603i | −0.411872 | − | 0.713384i | 0.583222 | − | 0.812313i | \(-0.301792\pi\) |
−0.995094 | + | 0.0989291i | \(0.968458\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 5.73205 | 1.58978 | 0.794892 | − | 0.606750i | \(-0.207527\pi\) | ||||
0.794892 | + | 0.606750i | \(0.207527\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 1.00000 | 0.258199 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −3.36603 | − | 5.83013i | −0.816381 | − | 1.41401i | −0.908332 | − | 0.418250i | \(-0.862644\pi\) |
0.0919509 | − | 0.995764i | \(-0.470690\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.23205 | + | 2.13397i | −0.282652 | + | 0.489567i | −0.972037 | − | 0.234828i | \(-0.924547\pi\) |
0.689385 | + | 0.724395i | \(0.257881\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.73205 | − | 2.00000i | 0.377964 | − | 0.436436i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −0.633975 | + | 1.09808i | −0.132193 | + | 0.228965i | −0.924522 | − | 0.381130i | \(-0.875535\pi\) |
0.792329 | + | 0.610094i | \(0.208868\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.500000 | − | 0.866025i | −0.100000 | − | 0.173205i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 1.00000 | 0.192450 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 6.19615 | 1.15060 | 0.575298 | − | 0.817944i | \(-0.304886\pi\) | ||||
0.575298 | + | 0.817944i | \(0.304886\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.23205 | + | 5.59808i | 0.580493 | + | 1.00544i | 0.995421 | + | 0.0955896i | \(0.0304737\pi\) |
−0.414927 | + | 0.909855i | \(0.636193\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −1.36603 | + | 2.36603i | −0.237795 | + | 0.411872i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −2.59808 | − | 0.500000i | −0.439155 | − | 0.0845154i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.59808 | + | 6.23205i | −0.591520 | + | 1.02454i | 0.402508 | + | 0.915417i | \(0.368139\pi\) |
−0.994028 | + | 0.109126i | \(0.965195\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −2.86603 | − | 4.96410i | −0.458931 | − | 0.794892i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 2.73205 | 0.426675 | 0.213337 | − | 0.976979i | \(-0.431567\pi\) | ||||
0.213337 | + | 0.976979i | \(0.431567\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 7.19615 | 1.09740 | 0.548701 | − | 0.836018i | \(-0.315122\pi\) | ||||
0.548701 | + | 0.836018i | \(0.315122\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −0.500000 | − | 0.866025i | −0.0745356 | − | 0.129099i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 1.00000 | − | 1.73205i | 0.145865 | − | 0.252646i | −0.783830 | − | 0.620975i | \(-0.786737\pi\) |
0.929695 | + | 0.368329i | \(0.120070\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.50000 | + | 4.33013i | −0.785714 | + | 0.618590i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −3.36603 | + | 5.83013i | −0.471338 | + | 0.816381i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 4.19615 | + | 7.26795i | 0.576386 | + | 0.998330i | 0.995890 | + | 0.0905760i | \(0.0288708\pi\) |
−0.419504 | + | 0.907754i | \(0.637796\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.73205 | 0.368390 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 2.46410 | 0.326378 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 5.09808 | + | 8.83013i | 0.663713 | + | 1.14958i | 0.979633 | + | 0.200799i | \(0.0643537\pi\) |
−0.315920 | + | 0.948786i | \(0.602313\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.00000 | + | 3.46410i | −0.256074 | + | 0.443533i | −0.965187 | − | 0.261562i | \(-0.915762\pi\) |
0.709113 | + | 0.705095i | \(0.249096\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −2.59808 | − | 0.500000i | −0.327327 | − | 0.0629941i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −2.86603 | + | 4.96410i | −0.355487 | + | 0.615721i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.33013 | + | 2.30385i | 0.162501 | + | 0.281460i | 0.935765 | − | 0.352624i | \(-0.114711\pi\) |
−0.773264 | + | 0.634084i | \(0.781377\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 1.26795 | 0.152643 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 4.19615 | 0.497992 | 0.248996 | − | 0.968505i | \(-0.419899\pi\) | ||||
0.248996 | + | 0.968505i | \(0.419899\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.33013 | + | 4.03590i | 0.272721 | + | 0.472366i | 0.969558 | − | 0.244864i | \(-0.0787432\pi\) |
−0.696837 | + | 0.717230i | \(0.745410\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −0.500000 | + | 0.866025i | −0.0577350 | + | 0.100000i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 4.73205 | − | 5.46410i | 0.539267 | − | 0.622692i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 6.69615 | − | 11.5981i | 0.753376 | − | 1.30489i | −0.192802 | − | 0.981238i | \(-0.561757\pi\) |
0.946178 | − | 0.323648i | \(-0.104909\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 9.12436 | 1.00153 | 0.500764 | − | 0.865584i | \(-0.333052\pi\) | ||||
0.500764 | + | 0.865584i | \(0.333052\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 6.73205 | 0.730193 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −3.09808 | − | 5.36603i | −0.332149 | − | 0.575298i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 4.56218 | − | 7.90192i | 0.483590 | − | 0.837602i | −0.516233 | − | 0.856448i | \(-0.672666\pi\) |
0.999822 | + | 0.0188462i | \(0.00599930\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 4.96410 | + | 14.3301i | 0.520379 | + | 1.50221i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 3.23205 | − | 5.59808i | 0.335148 | − | 0.580493i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −1.23205 | − | 2.13397i | −0.126406 | − | 0.218941i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1.07180 | 0.108824 | 0.0544122 | − | 0.998519i | \(-0.482671\pi\) | ||||
0.0544122 | + | 0.998519i | \(0.482671\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 2.73205 | 0.274581 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 5.36603 | + | 9.29423i | 0.533939 | + | 0.924810i | 0.999214 | + | 0.0396438i | \(0.0126223\pi\) |
−0.465274 | + | 0.885167i | \(0.654044\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.598076 | − | 1.03590i | 0.0589302 | − | 0.102070i | −0.835055 | − | 0.550166i | \(-0.814564\pi\) |
0.893985 | + | 0.448096i | \(0.147898\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0.866025 | + | 2.50000i | 0.0845154 | + | 0.243975i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −4.09808 | + | 7.09808i | −0.396176 | + | 0.686197i | −0.993251 | − | 0.115989i | \(-0.962996\pi\) |
0.597075 | + | 0.802186i | \(0.296330\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −5.50000 | − | 9.52628i | −0.526804 | − | 0.912452i | −0.999512 | − | 0.0312328i | \(-0.990057\pi\) |
0.472708 | − | 0.881219i | \(-0.343277\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 7.19615 | 0.683029 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −4.92820 | −0.463606 | −0.231803 | − | 0.972763i | \(-0.574463\pi\) | ||||
−0.231803 | + | 0.972763i | \(0.574463\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.633975 | − | 1.09808i | −0.0591184 | − | 0.102396i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −2.86603 | + | 4.96410i | −0.264964 | + | 0.458931i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 11.6603 | − | 13.4641i | 1.06889 | − | 1.23425i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.76795 | − | 3.06218i | 0.160723 | − | 0.278380i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −1.36603 | − | 2.36603i | −0.123170 | − | 0.213337i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −15.1962 | −1.34844 | −0.674220 | − | 0.738530i | \(-0.735520\pi\) | ||||
−0.674220 | + | 0.738530i | \(0.735520\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −3.59808 | − | 6.23205i | −0.316793 | − | 0.548701i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 4.26795 | − | 7.39230i | 0.372892 | − | 0.645869i | −0.617117 | − | 0.786872i | \(-0.711699\pi\) |
0.990009 | + | 0.141003i | \(0.0450327\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −6.40192 | − | 1.23205i | −0.555117 | − | 0.106832i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −0.500000 | + | 0.866025i | −0.0430331 | + | 0.0745356i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 4.09808 | + | 7.09808i | 0.350122 | + | 0.606430i | 0.986271 | − | 0.165137i | \(-0.0528067\pi\) |
−0.636148 | + | 0.771567i | \(0.719473\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 7.92820 | 0.672461 | 0.336231 | − | 0.941780i | \(-0.390848\pi\) | ||||
0.336231 | + | 0.941780i | \(0.390848\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −2.00000 | −0.168430 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −7.83013 | − | 13.5622i | −0.654788 | − | 1.13413i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −3.09808 | + | 5.36603i | −0.257281 | + | 0.445624i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 6.50000 | + | 2.59808i | 0.536111 | + | 0.214286i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 10.9282 | − | 18.9282i | 0.895273 | − | 1.55066i | 0.0618073 | − | 0.998088i | \(-0.480314\pi\) |
0.833466 | − | 0.552571i | \(-0.186353\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2.46410 | + | 4.26795i | 0.200526 | + | 0.347321i | 0.948698 | − | 0.316184i | \(-0.102402\pi\) |
−0.748172 | + | 0.663505i | \(0.769068\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 6.73205 | 0.544254 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −6.46410 | −0.519209 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 7.19615 | + | 12.4641i | 0.574315 | + | 0.994744i | 0.996116 | + | 0.0880548i | \(0.0280651\pi\) |
−0.421800 | + | 0.906689i | \(0.638602\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 4.19615 | − | 7.26795i | 0.332777 | − | 0.576386i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −3.29423 | − | 0.633975i | −0.259622 | − | 0.0499642i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −2.92820 | + | 5.07180i | −0.229355 | + | 0.397254i | −0.957617 | − | 0.288045i | \(-0.906995\pi\) |
0.728262 | + | 0.685298i | \(0.240328\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −1.36603 | − | 2.36603i | −0.106345 | − | 0.184195i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 0.339746 | 0.0262903 | 0.0131452 | − | 0.999914i | \(-0.495816\pi\) | ||||
0.0131452 | + | 0.999914i | \(0.495816\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 19.8564 | 1.52742 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −1.23205 | − | 2.13397i | −0.0942173 | − | 0.163189i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −10.7321 | + | 18.5885i | −0.815943 | + | 1.41325i | 0.0927063 | + | 0.995693i | \(0.470448\pi\) |
−0.908649 | + | 0.417561i | \(0.862885\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 1.73205 | − | 2.00000i | 0.130931 | − | 0.151186i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 5.09808 | − | 8.83013i | 0.383195 | − | 0.663713i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −5.00000 | − | 8.66025i | −0.373718 | − | 0.647298i | 0.616417 | − | 0.787420i | \(-0.288584\pi\) |
−0.990134 | + | 0.140122i | \(0.955250\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 10.3205 | 0.767117 | 0.383559 | − | 0.923517i | \(-0.374698\pi\) | ||||
0.383559 | + | 0.923517i | \(0.374698\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 4.00000 | 0.295689 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −3.59808 | − | 6.23205i | −0.264536 | − | 0.458189i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −9.19615 | + | 15.9282i | −0.672489 | + | 1.16479i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0.866025 | + | 2.50000i | 0.0629941 | + | 0.181848i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 2.46410 | − | 4.26795i | 0.178296 | − | 0.308818i | −0.763001 | − | 0.646397i | \(-0.776275\pi\) |
0.941297 | + | 0.337579i | \(0.109608\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 4.59808 | + | 7.96410i | 0.330977 | + | 0.573269i | 0.982704 | − | 0.185185i | \(-0.0592885\pi\) |
−0.651727 | + | 0.758454i | \(0.725955\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 5.73205 | 0.410481 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −17.6603 | −1.25824 | −0.629121 | − | 0.777308i | \(-0.716585\pi\) | ||||
−0.629121 | + | 0.777308i | \(0.716585\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 11.0000 | + | 19.0526i | 0.779769 | + | 1.35060i | 0.932075 | + | 0.362267i | \(0.117997\pi\) |
−0.152305 | + | 0.988334i | \(0.548670\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 1.33013 | − | 2.30385i | 0.0938199 | − | 0.162501i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 5.36603 | + | 15.4904i | 0.376621 | + | 1.08721i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1.36603 | + | 2.36603i | −0.0954074 | + | 0.165250i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −0.633975 | − | 1.09808i | −0.0440643 | − | 0.0763216i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 6.73205 | 0.465666 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −20.9282 | −1.44076 | −0.720378 | − | 0.693581i | \(-0.756032\pi\) | ||||
−0.720378 | + | 0.693581i | \(0.756032\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −2.09808 | − | 3.63397i | −0.143758 | − | 0.248996i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −3.59808 | + | 6.23205i | −0.245387 | + | 0.425022i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −11.1962 | + | 12.9282i | −0.760044 | + | 0.877624i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 2.33013 | − | 4.03590i | 0.157455 | − | 0.272721i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −19.2942 | − | 33.4186i | −1.29787 | − | 2.24798i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −0.392305 | −0.0262707 | −0.0131353 | − | 0.999914i | \(-0.504181\pi\) | ||||
−0.0131353 | + | 0.999914i | \(0.504181\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 1.00000 | 0.0666667 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 7.83013 | + | 13.5622i | 0.519704 | + | 0.900153i | 0.999738 | + | 0.0229034i | \(0.00729102\pi\) |
−0.480034 | + | 0.877250i | \(0.659376\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 1.50000 | − | 2.59808i | 0.0991228 | − | 0.171686i | −0.812199 | − | 0.583380i | \(-0.801730\pi\) |
0.911322 | + | 0.411695i | \(0.135063\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −7.09808 | − | 1.36603i | −0.467019 | − | 0.0898779i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 8.66025 | − | 15.0000i | 0.567352 | − | 0.982683i | −0.429474 | − | 0.903079i | \(-0.641301\pi\) |
0.996827 | − | 0.0796037i | \(-0.0253655\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 1.00000 | + | 1.73205i | 0.0652328 | + | 0.112987i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −13.3923 | −0.869924 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −20.9282 | −1.35373 | −0.676866 | − | 0.736106i | \(-0.736663\pi\) | ||||
−0.676866 | + | 0.736106i | \(0.736663\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −3.26795 | − | 5.66025i | −0.210507 | − | 0.364609i | 0.741366 | − | 0.671101i | \(-0.234178\pi\) |
−0.951873 | + | 0.306492i | \(0.900845\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −0.500000 | + | 0.866025i | −0.0320750 | + | 0.0555556i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −1.00000 | − | 6.92820i | −0.0638877 | − | 0.442627i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −7.06218 | + | 12.2321i | −0.449356 | + | 0.778307i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −4.56218 | − | 7.90192i | −0.289116 | − | 0.500764i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −6.58846 | −0.415860 | −0.207930 | − | 0.978144i | \(-0.566673\pi\) | ||||
−0.207930 | + | 0.978144i | \(0.566673\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 3.46410 | 0.217786 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −3.36603 | − | 5.83013i | −0.210789 | − | 0.365097i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −5.83013 | + | 10.0981i | −0.363673 | + | 0.629901i | −0.988562 | − | 0.150813i | \(-0.951811\pi\) |
0.624889 | + | 0.780714i | \(0.285144\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −18.6962 | − | 3.59808i | −1.16172 | − | 0.223574i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −3.09808 | + | 5.36603i | −0.191766 | + | 0.332149i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −6.19615 | − | 10.7321i | −0.382071 | − | 0.661767i | 0.609287 | − | 0.792950i | \(-0.291456\pi\) |
−0.991358 | + | 0.131183i | \(0.958122\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −8.39230 | −0.515535 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −9.12436 | −0.558401 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 9.73205 | + | 16.8564i | 0.593374 | + | 1.02775i | 0.993774 | + | 0.111413i | \(0.0355377\pi\) |
−0.400401 | + | 0.916340i | \(0.631129\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 8.46410 | − | 14.6603i | 0.514158 | − | 0.890547i | −0.485708 | − | 0.874121i | \(-0.661438\pi\) |
0.999865 | − | 0.0164256i | \(-0.00522868\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 9.92820 | − | 11.4641i | 0.600882 | − | 0.693839i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −1.36603 | + | 2.36603i | −0.0823744 | + | 0.142677i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −1.33013 | − | 2.30385i | −0.0799196 | − | 0.138425i | 0.823295 | − | 0.567613i | \(-0.192133\pi\) |
−0.903215 | + | 0.429188i | \(0.858800\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −6.46410 | −0.386996 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −13.8564 | −0.826604 | −0.413302 | − | 0.910594i | \(-0.635625\pi\) | ||||
−0.413302 | + | 0.910594i | \(0.635625\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 0.0621778 | + | 0.107695i | 0.00369609 | + | 0.00640181i | 0.867868 | − | 0.496796i | \(-0.165490\pi\) |
−0.864171 | + | 0.503197i | \(0.832157\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −1.23205 | + | 2.13397i | −0.0729804 | + | 0.126406i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 2.36603 | + | 6.83013i | 0.139662 | + | 0.403170i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −14.1603 | + | 24.5263i | −0.832956 | + | 1.44272i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −0.535898 | − | 0.928203i | −0.0314149 | − | 0.0544122i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 5.07180 | 0.296298 | 0.148149 | − | 0.988965i | \(-0.452669\pi\) | ||||
0.148149 | + | 0.988965i | \(0.452669\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −10.1962 | −0.593643 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −1.36603 | − | 2.36603i | −0.0792648 | − | 0.137291i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −3.63397 | + | 6.29423i | −0.210158 | + | 0.364005i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 6.23205 | + | 17.9904i | 0.359209 | + | 1.03695i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 5.36603 | − | 9.29423i | 0.308270 | − | 0.533939i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −2.00000 | − | 3.46410i | −0.114520 | − | 0.198354i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 7.87564 | 0.449487 | 0.224743 | − | 0.974418i | \(-0.427846\pi\) | ||||
0.224743 | + | 0.974418i | \(0.427846\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −1.19615 | −0.0680467 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −7.56218 | − | 13.0981i | −0.428812 | − | 0.742724i | 0.567956 | − | 0.823059i | \(-0.307734\pi\) |
−0.996768 | + | 0.0803351i | \(0.974401\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −2.33013 | + | 4.03590i | −0.131707 | + | 0.228122i | −0.924335 | − | 0.381583i | \(-0.875379\pi\) |
0.792628 | + | 0.609706i | \(0.208712\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 1.73205 | − | 2.00000i | 0.0975900 | − | 0.112687i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −15.2224 | + | 26.3660i | −0.854977 | + | 1.48086i | 0.0216894 | + | 0.999765i | \(0.493095\pi\) |
−0.876666 | + | 0.481099i | \(0.840238\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −8.46410 | − | 14.6603i | −0.473899 | − | 0.820817i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 8.19615 | 0.457465 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 16.5885 | 0.923006 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −2.86603 | − | 4.96410i | −0.158978 | − | 0.275359i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −5.50000 | + | 9.52628i | −0.304151 | + | 0.526804i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 5.19615 | + | 1.00000i | 0.286473 | + | 0.0551318i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 10.9641 | − | 18.9904i | 0.602642 | − | 1.04381i | −0.389778 | − | 0.920909i | \(-0.627448\pi\) |
0.992419 | − | 0.122897i | \(-0.0392184\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −3.59808 | − | 6.23205i | −0.197173 | − | 0.341514i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −2.66025 | −0.145345 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −33.9808 | −1.85105 | −0.925525 | − | 0.378686i | \(-0.876376\pi\) | ||||
−0.925525 | + | 0.378686i | \(0.876376\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 2.46410 | + | 4.26795i | 0.133832 | + | 0.231803i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 8.83013 | − | 15.2942i | 0.478178 | − | 0.828229i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −15.5885 | − | 10.0000i | −0.841698 | − | 0.539949i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −0.633975 | + | 1.09808i | −0.0341320 | + | 0.0591184i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −17.4641 | − | 30.2487i | −0.937522 | − | 1.62384i | −0.770074 | − | 0.637955i | \(-0.779781\pi\) |
−0.167449 | − | 0.985881i | \(-0.553553\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 22.0000 | 1.17763 | 0.588817 | − | 0.808267i | \(-0.299594\pi\) | ||||
0.588817 | + | 0.808267i | \(0.299594\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 5.73205 | 0.305954 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −10.5622 | − | 18.2942i | −0.562168 | − | 0.973704i | −0.997307 | − | 0.0733402i | \(-0.976634\pi\) |
0.435139 | − | 0.900363i | \(-0.356699\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −2.09808 | + | 3.63397i | −0.111354 | + | 0.192871i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −17.4904 | − | 3.36603i | −0.925689 | − | 0.178149i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −2.36603 | + | 4.09808i | −0.124874 | + | 0.216288i | −0.921684 | − | 0.387942i | \(-0.873186\pi\) |
0.796810 | + | 0.604230i | \(0.206519\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 6.46410 | + | 11.1962i | 0.340216 | + | 0.589271i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −3.53590 | −0.185587 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −4.66025 | −0.243929 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 0.401924 | + | 0.696152i | 0.0209803 | + | 0.0363389i | 0.876325 | − | 0.481721i | \(-0.159988\pi\) |
−0.855345 | + | 0.518059i | \(0.826655\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −1.36603 | + | 2.36603i | −0.0711124 | + | 0.123170i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −14.5359 | + | 16.7846i | −0.754666 | + | 0.871414i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 9.25833 | − | 16.0359i | 0.479378 | − | 0.830307i | −0.520342 | − | 0.853958i | \(-0.674196\pi\) |
0.999720 | + | 0.0236505i | \(0.00752890\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −0.500000 | − | 0.866025i | −0.0258199 | − | 0.0447214i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 35.5167 | 1.82920 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 28.3205 | 1.45473 | 0.727363 | − | 0.686253i | \(-0.240745\pi\) | ||||
0.727363 | + | 0.686253i | \(0.240745\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 7.59808 | + | 13.1603i | 0.389261 | + | 0.674220i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 5.66025 | − | 9.80385i | 0.289225 | − | 0.500953i | −0.684400 | − | 0.729107i | \(-0.739936\pi\) |
0.973625 | + | 0.228154i | \(0.0732689\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 2.36603 | + | 6.83013i | 0.120584 | + | 0.348096i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −3.59808 | + | 6.23205i | −0.182900 | + | 0.316793i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −18.2942 | − | 31.6865i | −0.927554 | − | 1.60657i | −0.787401 | − | 0.616441i | \(-0.788574\pi\) |
−0.140153 | − | 0.990130i | \(-0.544760\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 8.53590 | 0.431679 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −8.53590 | −0.430579 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 6.69615 | + | 11.5981i | 0.336920 | + | 0.583563i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 10.4019 | − | 18.0167i | 0.522058 | − | 0.904230i | −0.477613 | − | 0.878570i | \(-0.658498\pi\) |
0.999671 | − | 0.0256600i | \(-0.00816873\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 2.13397 | + | 6.16025i | 0.106832 | + | 0.308398i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −2.19615 | + | 3.80385i | −0.109671 | + | 0.189955i | −0.915637 | − | 0.402006i | \(-0.868313\pi\) |
0.805966 | + | 0.591962i | \(0.201646\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 18.5263 | + | 32.0885i | 0.922860 | + | 1.59844i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 1.00000 | 0.0496904 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 19.6603 | 0.974523 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −15.4282 | − | 26.7224i | −0.762876 | − | 1.32134i | −0.941362 | − | 0.337397i | \(-0.890454\pi\) |
0.178487 | − | 0.983942i | \(-0.442880\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 4.09808 | − | 7.09808i | 0.202143 | − | 0.350122i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −17.6603 | + | 20.3923i | −0.869004 | + | 1.00344i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −4.56218 | + | 7.90192i | −0.223949 | + | 0.387890i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −3.96410 | − | 6.86603i | −0.194123 | − | 0.336231i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 28.5359 | 1.39407 | 0.697035 | − | 0.717037i | \(-0.254502\pi\) | ||||
0.697035 | + | 0.717037i | \(0.254502\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 13.9282 | 0.678819 | 0.339410 | − | 0.940639i | \(-0.389773\pi\) | ||||
0.339410 | + | 0.940639i | \(0.389773\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 1.00000 | + | 1.73205i | 0.0486217 | + | 0.0842152i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −3.36603 | + | 5.83013i | −0.163276 | + | 0.282803i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −10.3923 | − | 2.00000i | −0.502919 | − | 0.0967868i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −7.83013 | + | 13.5622i | −0.378042 | + | 0.654788i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −8.66025 | − | 15.0000i | −0.417150 | − | 0.722525i | 0.578502 | − | 0.815681i | \(-0.303638\pi\) |
−0.995651 | + | 0.0931566i | \(0.970304\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 4.80385 | 0.230858 | 0.115429 | − | 0.993316i | \(-0.463176\pi\) | ||||
0.115429 | + | 0.993316i | \(0.463176\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 6.19615 | 0.297083 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −1.56218 | − | 2.70577i | −0.0747291 | − | 0.129435i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 3.73205 | − | 6.46410i | 0.178121 | − | 0.308515i | −0.763116 | − | 0.646262i | \(-0.776331\pi\) |
0.941237 | + | 0.337747i | \(0.109665\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −1.00000 | − | 6.92820i | −0.0476190 | − | 0.329914i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 1.26795 | − | 2.19615i | 0.0602421 | − | 0.104342i | −0.834331 | − | 0.551263i | \(-0.814146\pi\) |
0.894574 | + | 0.446921i | \(0.147479\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 4.56218 | + | 7.90192i | 0.216268 | + | 0.374587i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −21.8564 | −1.03377 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −8.14359 | −0.384320 | −0.192160 | − | 0.981364i | \(-0.561549\pi\) | ||||
−0.192160 | + | 0.981364i | \(0.561549\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −3.73205 | − | 6.46410i | −0.175735 | − | 0.304383i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 2.46410 | − | 4.26795i | 0.115774 | − | 0.200526i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −14.8923 | − | 2.86603i | −0.698162 | − | 0.134361i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −0.330127 | + | 0.571797i | −0.0154427 | + | 0.0267475i | −0.873643 | − | 0.486567i | \(-0.838249\pi\) |
0.858201 | + | 0.513314i | \(0.171582\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −3.36603 | − | 5.83013i | −0.157113 | − | 0.272127i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −34.9808 | −1.62922 | −0.814608 | − | 0.580012i | \(-0.803048\pi\) | ||||
−0.814608 | + | 0.580012i | \(0.803048\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −22.2679 | −1.03488 | −0.517440 | − | 0.855720i | \(-0.673115\pi\) | ||||
−0.517440 | + | 0.855720i | \(0.673115\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 3.23205 | + | 5.59808i | 0.149883 | + | 0.259605i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −13.9282 | + | 24.1244i | −0.644520 | + | 1.11634i | 0.339892 | + | 0.940465i | \(0.389610\pi\) |
−0.984412 | + | 0.175877i | \(0.943724\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −4.60770 | + | 5.32051i | −0.212764 | + | 0.245678i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 7.19615 | − | 12.4641i | 0.331581 | − | 0.574315i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −9.83013 | − | 17.0263i | −0.451990 | − | 0.782869i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 2.46410 | 0.113061 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −8.39230 | −0.384257 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −16.3923 | − | 28.3923i | −0.748984 | − | 1.29728i | −0.948310 | − | 0.317344i | \(-0.897209\pi\) |
0.199327 | − | 0.979933i | \(-0.436124\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −20.6244 | + | 35.7224i | −0.940390 | + | 1.62880i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 1.09808 | + | 3.16987i | 0.0499642 | + | 0.144234i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −0.535898 | + | 0.928203i | −0.0243339 | + | 0.0421475i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −15.7942 | − | 27.3564i | −0.715705 | − | 1.23964i | −0.962687 | − | 0.270617i | \(-0.912772\pi\) |
0.246982 | − | 0.969020i | \(-0.420561\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 5.85641 | 0.264836 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −10.2487 | −0.462518 | −0.231259 | − | 0.972892i | \(-0.574284\pi\) | ||||
−0.231259 | + | 0.972892i | \(0.574284\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −20.8564 | − | 36.1244i | −0.939325 | − | 1.62696i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −1.36603 | + | 2.36603i | −0.0613983 | + | 0.106345i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 3.63397 | + | 10.4904i | 0.163006 | + | 0.470558i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −10.2321 | + | 17.7224i | −0.458050 | + | 0.793365i | −0.998858 | − | 0.0477808i | \(-0.984785\pi\) |
0.540808 | + | 0.841146i | \(0.318118\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −0.169873 | − | 0.294229i | −0.00758937 | − | 0.0131452i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 6.39230 | 0.285019 | 0.142509 | − | 0.989793i | \(-0.454483\pi\) | ||||
0.142509 | + | 0.989793i | \(0.454483\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −10.7321 | −0.477570 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −9.92820 | − | 17.1962i | −0.440927 | − | 0.763708i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −5.73205 | + | 9.92820i | −0.254069 | + | 0.440060i | −0.964642 | − | 0.263563i | \(-0.915102\pi\) |
0.710573 | + | 0.703623i | \(0.248436\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −8.07180 | + | 9.32051i | −0.357075 | + | 0.412315i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −1.23205 | + | 2.13397i | −0.0543964 | + | 0.0942173i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 0.598076 | + | 1.03590i | 0.0263544 | + | 0.0456471i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −5.46410 | −0.240311 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 21.4641 | 0.942169 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −0.732051 | − | 1.26795i | −0.0320717 | − | 0.0555499i | 0.849544 | − | 0.527518i | \(-0.176877\pi\) |
−0.881616 | + | 0.471968i | \(0.843544\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −12.1340 | + | 21.0167i | −0.530582 | + | 0.918994i | 0.468782 | + | 0.883314i | \(0.344693\pi\) |
−0.999363 | + | 0.0356803i | \(0.988640\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −2.59808 | − | 0.500000i | −0.113389 | − | 0.0218218i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 21.7583 | − | 37.6865i | 0.947808 | − | 1.64165i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 10.6962 | + | 18.5263i | 0.465050 | + | 0.805490i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −10.1962 | −0.442475 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 15.6603 | 0.678321 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −4.09808 | − | 7.09808i | −0.177175 | − | 0.306877i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −5.00000 | + | 8.66025i | −0.215766 | + | 0.373718i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 17.7583 | + | 7.09808i | 0.764905 | + | 0.305736i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 17.8923 | − | 30.9904i | 0.769250 | − | 1.33238i | −0.168720 | − | 0.985664i | \(-0.553963\pi\) |
0.937970 | − | 0.346716i | \(-0.112703\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −5.16025 | − | 8.93782i | −0.221448 | − | 0.383559i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 11.0000 | 0.471188 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −22.2487 | −0.951286 | −0.475643 | − | 0.879638i | \(-0.657785\pi\) | ||||
−0.475643 | + | 0.879638i | \(0.657785\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −2.00000 | − | 3.46410i | −0.0853579 | − | 0.147844i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −7.63397 | + | 13.2224i | −0.325218 | + | 0.563295i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 34.7942 | + | 6.69615i | 1.47960 | + | 0.284749i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −3.59808 | + | 6.23205i | −0.152730 | + | 0.264536i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 13.3923 | + | 23.1962i | 0.567450 | + | 0.982853i | 0.996817 | + | 0.0797224i | \(0.0254034\pi\) |
−0.429367 | + | 0.903130i | \(0.641263\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 41.2487 | 1.74463 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 18.3923 | 0.776524 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −9.00000 | − | 15.5885i | −0.379305 | − | 0.656975i | 0.611656 | − | 0.791123i | \(-0.290503\pi\) |
−0.990961 | + | 0.134148i | \(0.957170\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 2.46410 | − | 4.26795i | 0.103666 | − | 0.179554i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 1.73205 | − | 2.00000i | 0.0727393 | − | 0.0839921i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 13.2224 | − | 22.9019i | 0.554313 | − | 0.960099i | −0.443643 | − | 0.896203i | \(-0.646314\pi\) |
0.997957 | − | 0.0638952i | \(-0.0203523\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 19.6962 | + | 34.1147i | 0.824258 | + | 1.42766i | 0.902485 | + | 0.430722i | \(0.141741\pi\) |
−0.0782265 | + | 0.996936i | \(0.524926\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −4.92820 | −0.205879 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 1.26795 | 0.0528771 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −5.66987 | − | 9.82051i | −0.236040 | − | 0.408833i | 0.723534 | − | 0.690288i | \(-0.242516\pi\) |
−0.959574 | + | 0.281455i | \(0.909183\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 4.59808 | − | 7.96410i | 0.191090 | − | 0.330977i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 7.90192 | + | 22.8109i | 0.327827 | + | 0.946355i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 11.4641 | − | 19.8564i | 0.474795 | − | 0.822368i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −2.86603 | − | 4.96410i | −0.118496 | − | 0.205240i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −37.2679 | −1.53821 | −0.769106 | − | 0.639121i | \(-0.779298\pi\) | ||||
−0.769106 | + | 0.639121i | \(0.779298\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −15.9282 | −0.656310 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 8.83013 | + | 15.2942i | 0.363223 | + | 0.629121i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 18.9545 | − | 32.8301i | 0.778367 | − | 1.34817i | −0.154515 | − | 0.987990i | \(-0.549381\pi\) |
0.932882 | − | 0.360181i | \(-0.117285\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 5.83013 | + | 16.8301i | 0.239012 | + | 0.689968i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 11.0000 | − | 19.0526i | 0.450200 | − | 0.779769i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 5.12436 | + | 8.87564i | 0.209375 | + | 0.362649i | 0.951518 | − | 0.307593i | \(-0.0995236\pi\) |
−0.742142 | + | 0.670242i | \(0.766190\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −13.9282 | −0.568143 | −0.284072 | − | 0.958803i | \(-0.591685\pi\) | ||||
−0.284072 | + | 0.958803i | \(0.591685\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −2.66025 | −0.108334 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 1.76795 | + | 3.06218i | 0.0718774 | + | 0.124495i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −3.59808 | + | 6.23205i | −0.146041 | + | 0.252951i | −0.929761 | − | 0.368164i | \(-0.879987\pi\) |
0.783720 | + | 0.621115i | \(0.213320\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 10.7321 | − | 12.3923i | 0.434885 | − | 0.502162i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 5.73205 | − | 9.92820i | 0.231894 | − | 0.401652i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 6.53590 | + | 11.3205i | 0.263982 | + | 0.457231i | 0.967297 | − | 0.253648i | \(-0.0816306\pi\) |
−0.703314 | + | 0.710879i | \(0.748297\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 2.73205 | 0.110167 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 12.2487 | 0.493115 | 0.246557 | − | 0.969128i | \(-0.420701\pi\) | ||||
0.246557 | + | 0.969128i | \(0.420701\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −21.9641 | − | 38.0429i | −0.882812 | − | 1.52907i | −0.848201 | − | 0.529674i | \(-0.822314\pi\) |
−0.0346105 | − | 0.999401i | \(-0.511019\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −0.633975 | + | 1.09808i | −0.0254405 | + | 0.0440643i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 23.7058 | + | 4.56218i | 0.949752 | + | 0.182780i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −0.500000 | + | 0.866025i | −0.0200000 | + | 0.0346410i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −3.36603 | − | 5.83013i | −0.134426 | − | 0.232833i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 48.4449 | 1.93162 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −7.21539 | −0.287240 | −0.143620 | − | 0.989633i | \(-0.545874\pi\) | ||||
−0.143620 | + | 0.989633i | \(0.545874\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 10.4641 | + | 18.1244i | 0.415911 | + | 0.720378i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 7.59808 | − | 13.1603i | 0.301520 | − | 0.522249i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −31.5263 | + | 24.8205i | −1.24912 | + | 0.983424i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −2.09808 | + | 3.63397i | −0.0829986 | + | 0.143758i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −7.09808 | − | 12.2942i | −0.280357 | − | 0.485593i | 0.691116 | − | 0.722744i | \(-0.257120\pi\) |
−0.971473 | + | 0.237151i | \(0.923786\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 40.5167 | 1.59782 | 0.798911 | − | 0.601450i | \(-0.205410\pi\) | ||||
0.798911 | + | 0.601450i | \(0.205410\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 7.19615 | 0.283348 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 18.9545 | + | 32.8301i | 0.745178 | + | 1.29069i | 0.950112 | + | 0.311910i | \(0.100969\pi\) |
−0.204934 | + | 0.978776i | \(0.565698\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 13.9282 | − | 24.1244i | 0.546730 | − | 0.946964i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 16.7942 | + | 3.23205i | 0.658218 | + | 0.126674i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 6.70577 | − | 11.6147i | 0.262417 | − | 0.454520i | −0.704467 | − | 0.709737i | \(-0.748814\pi\) |
0.966884 | + | 0.255217i | \(0.0821470\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 4.26795 | + | 7.39230i | 0.166763 | + | 0.288841i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −4.66025 | −0.181814 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 10.9282 | 0.425702 | 0.212851 | − | 0.977085i | \(-0.431725\pi\) | ||||
0.212851 | + | 0.977085i | \(0.431725\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −1.76795 | − | 3.06218i | −0.0687653 | − | 0.119105i | 0.829593 | − | 0.558369i | \(-0.188573\pi\) |
−0.898358 | + | 0.439264i | \(0.855239\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −19.2942 | + | 33.4186i | −0.749326 | + | 1.29787i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 4.26795 | − | 4.92820i | 0.165504 | − | 0.191108i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −3.92820 | + | 6.80385i | −0.152101 | + | 0.263446i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0.196152 | + | 0.339746i | 0.00758369 | + | 0.0131353i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 10.9282 | 0.421879 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −44.6603 | −1.72153 | −0.860763 | − | 0.509006i | \(-0.830013\pi\) | ||||
−0.860763 | + | 0.509006i | \(0.830013\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −0.500000 | − | 0.866025i | −0.0192450 | − | 0.0333333i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 4.43782 | − | 7.68653i | 0.170559 | − | 0.295417i | −0.768056 | − | 0.640382i | \(-0.778776\pi\) |
0.938616 | + | 0.344965i | \(0.112109\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0.928203 | + | 2.67949i | 0.0356212 | + | 0.102829i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 7.83013 | − | 13.5622i | 0.300051 | − | 0.519704i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 5.02628 | + | 8.70577i | 0.192325 | + | 0.333117i | 0.946020 | − | 0.324107i | \(-0.105064\pi\) |
−0.753695 | + | 0.657224i | \(0.771730\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −8.19615 | −0.313159 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −3.00000 | −0.114457 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 24.0526 | + | 41.6603i | 0.916330 | + | 1.58713i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −9.42820 | + | 16.3301i | −0.358666 | + | 0.621227i | −0.987738 | − | 0.156119i | \(-0.950102\pi\) |
0.629072 | + | 0.777347i | \(0.283435\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 2.36603 | + | 6.83013i | 0.0898779 | + | 0.259455i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −3.96410 | + | 6.86603i | −0.150367 | + | 0.260443i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −9.19615 | − | 15.9282i | −0.348329 | − | 0.603324i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −17.3205 | −0.655122 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 22.5885 | 0.853154 | 0.426577 | − | 0.904451i | \(-0.359719\pi\) | ||||
0.426577 | + | 0.904451i | \(0.359719\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −8.86603 | − | 15.3564i | −0.334388 | − | 0.579178i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 1.00000 | − | 1.73205i | 0.0376622 | − | 0.0652328i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −18.5885 | + | 21.4641i | −0.699091 | + | 0.807241i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 7.46410 | − | 12.9282i | 0.280320 | − | 0.485529i | −0.691143 | − | 0.722718i | \(-0.742893\pi\) |
0.971464 | + | 0.237189i | \(0.0762260\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 6.69615 | + | 11.5981i | 0.251125 | + | 0.434962i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −8.19615 | −0.306948 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 15.6603 | 0.585660 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 10.4641 | + | 18.1244i | 0.390789 | + | 0.676866i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −13.7321 | + | 23.7846i | −0.512119 | + | 0.887016i | 0.487782 | + | 0.872965i | \(0.337806\pi\) |
−0.999901 | + | 0.0140509i | \(0.995527\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 3.10770 | + | 0.598076i | 0.115737 | + | 0.0222735i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −3.26795 | + | 5.66025i | −0.121536 | + | 0.210507i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −3.09808 | − | 5.36603i | −0.115060 | − | 0.199289i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 30.6603 | 1.13713 | 0.568563 | − | 0.822640i | \(-0.307500\pi\) | ||||
0.568563 | + | 0.822640i | \(0.307500\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −24.2224 | − | 41.9545i | −0.895899 | − | 1.55174i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 9.33013 | − | 16.1603i | 0.344616 | − | 0.596893i | −0.640668 | − | 0.767818i | \(-0.721342\pi\) |
0.985284 | + | 0.170926i | \(0.0546758\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −5.50000 | + | 4.33013i | −0.202871 | + | 0.159719i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 3.63397 | − | 6.29423i | 0.133859 | − | 0.231851i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −6.89230 | − | 11.9378i | −0.253538 | − | 0.439140i | 0.710960 | − | 0.703233i | \(-0.248261\pi\) |
−0.964497 | + | 0.264093i | \(0.914927\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 14.1244 | 0.518871 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −49.9090 | −1.83098 | −0.915491 | − | 0.402338i | \(-0.868198\pi\) | ||||
−0.915491 | + | 0.402338i | \(0.868198\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 10.9282 | + | 18.9282i | 0.400378 | + | 0.693476i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −4.56218 | + | 7.90192i | −0.166921 | + | 0.289116i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −21.2942 | − | 4.09808i | −0.778074 | − | 0.149740i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 15.9641 | − | 27.6506i | 0.582538 | − | 1.00899i | −0.412639 | − | 0.910895i | \(-0.635393\pi\) |
0.995177 | − | 0.0980914i | \(-0.0312737\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 3.29423 | + | 5.70577i | 0.120048 | + | 0.207930i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −4.92820 | −0.179356 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −0.143594 | −0.00521900 | −0.00260950 | − | 0.999997i | \(-0.500831\pi\) | ||||
−0.00260950 | + | 0.999997i | \(0.500831\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −1.73205 | − | 3.00000i | −0.0628695 | − | 0.108893i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −21.6340 | + | 37.4711i | −0.784231 | + | 1.35833i | 0.145226 | + | 0.989398i | \(0.453609\pi\) |
−0.929457 | + | 0.368929i | \(0.879724\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 19.0526 | − | 22.0000i | 0.689749 | − | 0.796453i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −3.36603 | + | 5.83013i | −0.121699 | + | 0.210789i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 29.2224 | + | 50.6147i | 1.05516 | + | 1.82759i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 17.6795 | 0.637539 | 0.318769 | − | 0.947832i | \(-0.396730\pi\) | ||||
0.318769 | + | 0.947832i | \(0.396730\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 11.6603 | 0.419934 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 0.758330 | + | 1.31347i | 0.0272752 | + | 0.0472421i | 0.879341 | − | 0.476193i | \(-0.157984\pi\) |
−0.852066 | + | 0.523435i | \(0.824650\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 3.23205 | − | 5.59808i | 0.116099 | − | 0.201089i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 6.23205 | + | 17.9904i | 0.223574 | + | 0.645401i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −3.36603 | + | 5.83013i | −0.120600 | + | 0.208886i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −5.73205 | − | 9.92820i | −0.205109 | − | 0.355259i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 6.19615 | 0.221432 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −14.3923 | −0.513683 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 3.26795 | + | 5.66025i | 0.116490 | + | 0.201766i | 0.918374 | − | 0.395713i | \(-0.129502\pi\) |
−0.801885 | + | 0.597479i | \(0.796169\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −6.19615 | + | 10.7321i | −0.220589 | + | 0.382071i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −4.26795 | − | 12.3205i | −0.151751 | − | 0.438067i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −11.4641 | + | 19.8564i | −0.407102 | + | 0.705122i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 4.19615 | + | 7.26795i | 0.148822 | + | 0.257768i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −42.0526 | −1.48958 | −0.744789 | − | 0.667300i | \(-0.767450\pi\) | ||||
−0.744789 | + | 0.667300i | \(0.767450\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −13.4641 | −0.476326 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 4.56218 | + | 7.90192i | 0.161197 | + | 0.279201i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 6.36603 | − | 11.0263i | 0.224652 | − | 0.389109i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 2.19615 | − | 2.53590i | 0.0774042 | − | 0.0893787i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 9.73205 | − | 16.8564i | 0.342584 | − | 0.593374i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 14.8564 | + | 25.7321i | 0.522323 | + | 0.904691i | 0.999663 | + | 0.0259716i | \(0.00826796\pi\) |
−0.477339 | + | 0.878719i | \(0.658399\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −3.46410 | −0.121641 | −0.0608205 | − | 0.998149i | \(-0.519372\pi\) | ||||
−0.0608205 | + | 0.998149i | \(0.519372\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −16.9282 | −0.593698 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −2.92820 | − | 5.07180i | −0.102570 | − | 0.177657i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −8.86603 | + | 15.3564i | −0.310183 | + | 0.537253i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −14.8923 | − | 2.86603i | −0.520379 | − | 0.100147i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −9.75833 | + | 16.9019i | −0.340568 | + | 0.589881i | −0.984538 | − | 0.175169i | \(-0.943953\pi\) |
0.643970 | + | 0.765051i | \(0.277286\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −11.5885 | − | 20.0718i | −0.403948 | − | 0.699659i | 0.590250 | − | 0.807220i | \(-0.299029\pi\) |
−0.994198 | + | 0.107561i | \(0.965696\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 2.73205 | 0.0951178 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 52.2487 | 1.81687 | 0.908433 | − | 0.418031i | \(-0.137280\pi\) | ||||
0.908433 | + | 0.418031i | \(0.137280\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 12.6962 | + | 21.9904i | 0.440956 | + | 0.763758i | 0.997761 | − | 0.0668857i | \(-0.0213063\pi\) |
−0.556805 | + | 0.830643i | \(0.687973\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −1.33013 | + | 2.30385i | −0.0461416 | + | 0.0799196i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 43.7583 | + | 17.4904i | 1.51614 | + | 0.606006i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −0.169873 | + | 0.294229i | −0.00587870 | + | 0.0101822i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 3.23205 | + | 5.59808i | 0.111716 | + | 0.193498i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 40.4449 | 1.39631 | 0.698156 | − | 0.715946i | \(-0.254004\pi\) | ||||
0.698156 | + | 0.715946i | \(0.254004\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 9.39230 | 0.323873 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 6.92820 | + | 12.0000i | 0.238620 | + | 0.413302i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −9.92820 | + | 17.1962i | −0.341541 | + | 0.591566i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 9.18653 | + | 1.76795i | 0.315653 | + | 0.0607475i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 0.0621778 | − | 0.107695i | 0.00213394 | − | 0.00369609i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −4.56218 | − | 7.90192i | −0.156389 | − | 0.270874i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 19.9808 | 0.684128 | 0.342064 | − | 0.939677i | \(-0.388874\pi\) | ||||
0.342064 | + | 0.939677i | \(0.388874\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 2.46410 | 0.0842705 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −2.43782 | − | 4.22243i | −0.0832744 | − | 0.144236i | 0.821380 | − | 0.570381i | \(-0.193204\pi\) |
−0.904655 | + | 0.426146i | \(0.859871\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 0.267949 | − | 0.464102i | 0.00914231 | − | 0.0158349i | −0.861418 | − | 0.507897i | \(-0.830423\pi\) |
0.870560 | + | 0.492062i | \(0.163757\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 4.73205 | − | 5.46410i | 0.161268 | − | 0.186216i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −3.19615 | + | 5.53590i | −0.108798 | + | 0.188444i | −0.915284 | − | 0.402810i | \(-0.868034\pi\) |
0.806485 | + | 0.591254i | \(0.201367\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −10.7321 | − | 18.5885i | −0.364901 | − | 0.632027i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 28.3205 | 0.961815 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −36.5885 | −1.24118 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 7.62436 | + | 13.2058i | 0.258341 | + | 0.447460i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −0.535898 | + | 0.928203i | −0.0181374 | + | 0.0314149i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0.866025 | + | 2.50000i | 0.0292770 | + | 0.0845154i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 15.9282 | − | 27.5885i | 0.537857 | − | 0.931596i | −0.461162 | − | 0.887316i | \(-0.652567\pi\) |
0.999019 | − | 0.0442800i | \(-0.0140994\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −2.53590 | − | 4.39230i | −0.0855337 | − | 0.148149i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −17.8564 | −0.601598 | −0.300799 | − | 0.953688i | \(-0.597253\pi\) | ||||
−0.300799 | + | 0.953688i | \(0.597253\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −22.4115 | −0.754208 | −0.377104 | − | 0.926171i | \(-0.623080\pi\) | ||||
−0.377104 | + | 0.926171i | \(0.623080\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 5.09808 | + | 8.83013i | 0.171370 | + | 0.296821i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −14.3660 | + | 24.8827i | −0.482364 | + | 0.835479i | −0.999795 | − | 0.0202460i | \(-0.993555\pi\) |
0.517431 | + | 0.855725i | \(0.326888\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −13.1603 | − | 37.9904i | −0.441381 | − | 1.27416i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −1.36603 | + | 2.36603i | −0.0457636 | + | 0.0792648i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 2.46410 | + | 4.26795i | 0.0824580 | + | 0.142821i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 10.0000 | 0.334263 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 7.26795 | 0.242670 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 20.0263 | + | 34.6865i | 0.667914 | + | 1.15686i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 28.2487 | − | 48.9282i | 0.941101 | − | 1.63003i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 12.4641 | − | 14.3923i | 0.414779 | − | 0.478946i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −5.16025 | + | 8.93782i | −0.171533 | + | 0.297103i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 1.20577 | + | 2.08846i | 0.0400370 | + | 0.0693461i | 0.885350 | − | 0.464926i | \(-0.153919\pi\) |
−0.845313 | + | 0.534272i | \(0.820586\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −10.7321 | −0.355960 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 11.2679 | 0.373324 | 0.186662 | − | 0.982424i | \(-0.440233\pi\) | ||||
0.186662 | + | 0.982424i | \(0.440233\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −12.4641 | − | 21.5885i | −0.412502 | − | 0.714474i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −2.00000 | + | 3.46410i | −0.0661180 | + | 0.114520i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 22.1769 | + | 4.26795i | 0.732346 | + | 0.140940i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −1.57180 | + | 2.72243i | −0.0518488 | + | 0.0898047i | −0.890785 | − | 0.454425i | \(-0.849845\pi\) |
0.838936 | + | 0.544230i | \(0.183178\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −3.93782 | − | 6.82051i | −0.129756 | − | 0.224743i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 24.0526 | 0.791700 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 7.19615 | 0.236608 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 0.598076 | + | 1.03590i | 0.0196434 | + | 0.0340234i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −3.22243 | + | 5.58142i | −0.105725 | + | 0.183120i | −0.914034 | − | 0.405638i | \(-0.867050\pi\) |
0.808309 | + | 0.588758i | \(0.200383\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −2.46410 | − | 17.0718i | −0.0807577 | − | 0.559506i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −7.56218 | + | 13.0981i | −0.247575 | + | 0.428812i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −9.19615 | − | 15.9282i | −0.300746 | − | 0.520908i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 28.2679 | 0.923474 | 0.461737 | − | 0.887017i | \(-0.347226\pi\) | ||||
0.461737 | + | 0.887017i | \(0.347226\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 4.66025 | 0.152082 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −4.02628 | − | 6.97372i | −0.131253 | − | 0.227337i | 0.792907 | − | 0.609343i | \(-0.208567\pi\) |
−0.924160 | + | 0.382006i | \(0.875233\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −1.73205 | + | 3.00000i | −0.0564033 | + | 0.0976934i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −2.59808 | − | 0.500000i | −0.0845154 | − | 0.0162650i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 5.83013 | − | 10.0981i | 0.189454 | − | 0.328143i | −0.755615 | − | 0.655017i | \(-0.772662\pi\) |
0.945068 | + | 0.326873i | \(0.105995\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 13.3564 | + | 23.1340i | 0.433567 | + | 0.750961i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 30.4449 | 0.987242 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 40.1051 | 1.29913 | 0.649566 | − | 0.760305i | \(-0.274951\pi\) | ||||
0.649566 | + | 0.760305i | \(0.274951\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 2.46410 | + | 4.26795i | 0.0797365 | + | 0.138108i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −8.46410 | + | 14.6603i | −0.273606 | + | 0.473899i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −14.1962 | + | 16.3923i | −0.458418 | + | 0.529335i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −5.39230 | + | 9.33975i | −0.173945 | + | 0.301282i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −4.09808 | − | 7.09808i | −0.132059 | − | 0.228732i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −9.19615 | −0.296035 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −14.1244 | −0.454209 | −0.227104 | − | 0.973870i | \(-0.572926\pi\) | ||||
−0.227104 | + | 0.973870i | \(0.572926\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −8.29423 | − | 14.3660i | −0.266449 | − | 0.461503i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −12.0000 | + | 20.7846i | −0.385098 | + | 0.667010i | −0.991783 | − | 0.127933i | \(-0.959166\pi\) |
0.606685 | + | 0.794943i | \(0.292499\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 6.86603 | + | 19.8205i | 0.220115 | + | 0.635416i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −2.86603 | + | 4.96410i | −0.0917863 | + | 0.158978i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −7.29423 | − | 12.6340i | −0.233363 | − | 0.404197i | 0.725433 | − | 0.688293i | \(-0.241640\pi\) |
−0.958796 | + | 0.284097i | \(0.908306\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −24.9282 | −0.796709 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 11.0000 | 0.351203 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 10.0981 | + | 17.4904i | 0.322079 | + | 0.557857i | 0.980917 | − | 0.194428i | \(-0.0622851\pi\) |
−0.658838 | + | 0.752285i | \(0.728952\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 8.83013 | − | 15.2942i | 0.281351 | − | 0.487315i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −1.73205 | − | 5.00000i | −0.0551318 | − | 0.159152i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −4.56218 | + | 7.90192i | −0.145069 | + | 0.251267i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 27.5526 | + | 47.7224i | 0.875236 | + | 1.51595i | 0.856511 | + | 0.516128i | \(0.172627\pi\) |
0.0187246 | + | 0.999825i | \(0.494039\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −21.9282 | −0.695870 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −22.0000 | −0.697447 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 2.00962 | + | 3.48076i | 0.0636453 | + | 0.110237i | 0.896092 | − | 0.443868i | \(-0.146394\pi\) |
−0.832447 | + | 0.554105i | \(0.813061\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −3.59808 | + | 6.23205i | −0.113838 | + | 0.197173i |
(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 | 1680.2.bg.o.961.2 | 4 | ||
4.3 | odd | 2 | 105.2.i.d.16.1 | ✓ | 4 | ||
7.4 | even | 3 | inner | 1680.2.bg.o.1201.2 | 4 | ||
12.11 | even | 2 | 315.2.j.c.226.2 | 4 | |||
20.3 | even | 4 | 525.2.r.f.499.1 | 4 | |||
20.7 | even | 4 | 525.2.r.a.499.2 | 4 | |||
20.19 | odd | 2 | 525.2.i.f.226.2 | 4 | |||
28.3 | even | 6 | 735.2.i.l.361.1 | 4 | |||
28.11 | odd | 6 | 105.2.i.d.46.1 | yes | 4 | ||
28.19 | even | 6 | 735.2.a.h.1.2 | 2 | |||
28.23 | odd | 6 | 735.2.a.g.1.2 | 2 | |||
28.27 | even | 2 | 735.2.i.l.226.1 | 4 | |||
84.11 | even | 6 | 315.2.j.c.46.2 | 4 | |||
84.23 | even | 6 | 2205.2.a.z.1.1 | 2 | |||
84.47 | odd | 6 | 2205.2.a.ba.1.1 | 2 | |||
140.19 | even | 6 | 3675.2.a.be.1.1 | 2 | |||
140.39 | odd | 6 | 525.2.i.f.151.2 | 4 | |||
140.67 | even | 12 | 525.2.r.f.424.1 | 4 | |||
140.79 | odd | 6 | 3675.2.a.bg.1.1 | 2 | |||
140.123 | even | 12 | 525.2.r.a.424.2 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.2.i.d.16.1 | ✓ | 4 | 4.3 | odd | 2 | ||
105.2.i.d.46.1 | yes | 4 | 28.11 | odd | 6 | ||
315.2.j.c.46.2 | 4 | 84.11 | even | 6 | |||
315.2.j.c.226.2 | 4 | 12.11 | even | 2 | |||
525.2.i.f.151.2 | 4 | 140.39 | odd | 6 | |||
525.2.i.f.226.2 | 4 | 20.19 | odd | 2 | |||
525.2.r.a.424.2 | 4 | 140.123 | even | 12 | |||
525.2.r.a.499.2 | 4 | 20.7 | even | 4 | |||
525.2.r.f.424.1 | 4 | 140.67 | even | 12 | |||
525.2.r.f.499.1 | 4 | 20.3 | even | 4 | |||
735.2.a.g.1.2 | 2 | 28.23 | odd | 6 | |||
735.2.a.h.1.2 | 2 | 28.19 | even | 6 | |||
735.2.i.l.226.1 | 4 | 28.27 | even | 2 | |||
735.2.i.l.361.1 | 4 | 28.3 | even | 6 | |||
1680.2.bg.o.961.2 | 4 | 1.1 | even | 1 | trivial | ||
1680.2.bg.o.1201.2 | 4 | 7.4 | even | 3 | inner | ||
2205.2.a.z.1.1 | 2 | 84.23 | even | 6 | |||
2205.2.a.ba.1.1 | 2 | 84.47 | odd | 6 | |||
3675.2.a.be.1.1 | 2 | 140.19 | even | 6 | |||
3675.2.a.bg.1.1 | 2 | 140.79 | odd | 6 |