files / problems / hilbert16-limit-cycles / compute / q3 / ii-complex-cube / certs / core.json
{
"det": "9(u^2+v^2)^2",
"identity_linear": true,
"identity_quad": true,
"identity_radial": true,
"deg_linear": 5,
"deg_quad": 8,
"deg_radial": 11,
"n_terms_radial_Yu": 12,
"n_terms_radial_Yv": 12,
"preimages_half_0": 3,
"preimages_quarter_quarter": 3,
"preimages_chebyshev_T3": 9,
"beats_T3": false,
"weaker_than_T3": true,
"attains_bezout": false,
"growth_complex": "linear",
"Yu_monomials": [
{
"u": 0,
"v": 5,
"num": 3,
"den": 1
},
{
"u": 1,
"v": 4,
"num": 3,
"den": 4
},
{
"u": 2,
"v": 3,
"num": 6,
"den": 1
},
{
"u": 3,
"v": 2,
"num": 3,
"den": 2
},
{
"u": 4,
"v": 1,
"num": 3,
"den": 1
},
{
"u": 5,
"v": 0,
"num": 3,
"den": 4
},
{
"u": 1,
"v": 10,
"num": -3,
"den": 1
},
{
"u": 3,
"v": 8,
"num": -15,
"den": 1
},
{
"u": 5,
"v": 6,
"num": -30,
"den": 1
},
{
"u": 7,
"v": 4,
"num": -30,
"den": 1
},
{
"u": 9,
"v": 2,
"num": -15,
"den": 1
},
{
"u": 11,
"v": 0,
"num": -3,
"den": 1
}
],
"Yv_monomials": [
{
"u": 0,
"v": 5,
"num": 3,
"den": 4
},
{
"u": 1,
"v": 4,
"num": -3,
"den": 1
},
{
"u": 2,
"v": 3,
"num": 3,
"den": 2
},
{
"u": 3,
"v": 2,
"num": -6,
"den": 1
},
{
"u": 4,
"v": 1,
"num": 3,
"den": 4
},
{
"u": 5,
"v": 0,
"num": -3,
"den": 1
},
{
"u": 0,
"v": 11,
"num": -3,
"den": 1
},
{
"u": 2,
"v": 9,
"num": -15,
"den": 1
},
{
"u": 4,
"v": 7,
"num": -30,
"den": 1
},
{
"u": 6,
"v": 5,
"num": -30,
"den": 1
},
{
"u": 8,
"v": 3,
"num": -15,
"den": 1
},
{
"u": 10,
"v": 1,
"num": -3,
"den": 1
}
],
"rows": [
{
"n": 1,
"N": 5,
"sheets": 3,
"bezout": 9,
"T3": 9
},
{
"n": 2,
"N": 8,
"sheets": 3,
"bezout": 9,
"T3": 9
},
{
"n": 3,
"N": 11,
"sheets": 3,
"bezout": 9,
"T3": 9
}
]
}