[[(name="A1",rank=1,deg=2,amb=Rational{BigInt}[3,1,1,1],basis_mat=Rational{BigInt}[1,-1],min=big(2),aut=big(2),kissing=big(2)), (name="A1*",rank=1,deg=1,amb=Rational{BigInt}[1],basis_mat=Rational{BigInt}[1],min=big(1),aut=big(2),kissing=big(2)), (name="D1",rank=1,deg=1,amb=Rational{BigInt}[1],basis_mat=Rational{BigInt}[1],min=big(1),aut=big(2),kissing=big(2)), (name="Z",rank=1,deg=1,amb=Rational{BigInt}[1],basis_mat=Rational{BigInt}[1],min=big(1),aut=big(2),kissing=big(2))],
[(name="A2",rank=2,deg=3,amb=Rational{BigInt}[3,2,1,2,3,1,1,1,1],basis_mat=Rational{BigInt}[1,-1,0,0,1,-1],min=big(2),aut=big(12),kissing=big(6)), (name="A2*",rank=2,deg=2,amb=Rational{BigInt}[2,-1,-1,2],basis_mat=Rational{BigInt}[1,0,0,1],min=big(2),aut=big(12),kissing=big(6)), (name="C2",rank=2,deg=2,amb=Rational{BigInt}[1,0,0,2],basis_mat=Rational{BigInt}[1,0,0,1],min=big(1),aut=big(4),kissing=big(2)), (name="D2",rank=2,deg=2,amb=Rational{BigInt}[1,0,0,1],basis_mat=Rational{BigInt}[1,1,1,-1],min=big(2),aut=big(8),kissing=big(4)), (name="D2*",rank=2,deg=2,amb=Rational{BigInt}[1,0,0,1],basis_mat=Rational{BigInt}[2,0,1,1],min=big(2),aut=big(8),kissing=big(4)), (name="Z2",rank=2,deg=2,amb=Rational{BigInt}[1,0,0,1],basis_mat=Rational{BigInt}[1,0,0,1],min=big(1),aut=big(8),kissing=big(4))],
[(name="A3",rank=3,deg=4,amb=Rational{BigInt}[3,2,2,1,2,3,2,1,2,2,3,1,1,1,1,1],basis_mat=Rational{BigInt}[1,-1,0,0,0,1,-1,0,0,0,1,-1],min=big(2),aut=big(48),kissing=big(12)), (name="A3*",rank=3,deg=3,amb=Rational{BigInt}[3,-1,-1,-1,3,-1,-1,-1,3],basis_mat=Rational{BigInt}[1,0,0,0,1,0,0,0,1],min=big(3),aut=big(48),kissing=big(8)), (name="D3",rank=3,deg=3,amb=Rational{BigInt}[1,0,0,0,1,0,0,0,1],basis_mat=Rational{BigInt}[1,1,0,1,-1,0,0,1,-1],min=big(2),aut=big(48),kissing=big(12)), (name="D3*",rank=3,deg=3,amb=Rational{BigInt}[1/4,0,0,0,1/4,0,0,0,1/4],basis_mat=Rational{BigInt}[4,0,0,0,4,0,2,2,2],min=big(3),aut=big(48),kissing=big(8)), (name="I3",rank=3,deg=3,amb=Rational{BigInt}[1,0,0,0,1,0,0,0,1],basis_mat=Rational{BigInt}[1,0,0,0,1,0,0,0,1],min=big(1),aut=big(48),kissing=big(6)), (name="acc",rank=3,deg=3,amb=Rational{BigInt}[2,1,0,1,3,1,0,1,2],basis_mat=Rational{BigInt}[1,0,0,0,1,0,0,0,1],min=big(2),aut=big(16),kissing=big(4)), (name="cubicF(classical/evenholotype)",rank=3,deg=3,amb=Rational{BigInt}[2,1,1,1,2,1,1,1,2],basis_mat=Rational{BigInt}[1,0,0,0,1,0,0,0,1],min=big(2),aut=big(48),kissing=big(12)), (name="cubicI(classicalholotype)",rank=3,deg=3,amb=Rational{BigInt}[3,-1,-1,-1,3,-1,-1,-1,3],basis_mat=Rational{BigInt}[1,0,0,0,1,0,0,0,1],min=big(3),aut=big(48),kissing=big(8)), (name="cubicI(evenholotype)",rank=3,deg=3,amb=Rational{BigInt}[6,-2,-2,-2,6,-2,-2,-2,6],basis_mat=Rational{BigInt}[1,0,0,0,1,0,0,0,1],min=big(6),aut=big(48),kissing=big(8)), (name="cubicP(classicalholotype)",rank=3,deg=3,amb=Rational{BigInt}[1,0,0,0,1,0,0,0,1],basis_mat=Rational{BigInt}[1,0,0,0,1,0,0,0,1],min=big(1),aut=big(48),kissing=big(6)), (name="cubicP(evenholotype)",rank=3,deg=3,amb=Rational{BigInt}[2,0,0,0,2,0,0,0,2],basis_mat=Rational{BigInt}[1,0,0,0,1,0,0,0,1],min=big(2),aut=big(48),kissing=big(6)), (name="digonalC(classicalholotype)",rank=3,deg=3,amb=Rational{BigInt}[1,0,0,0,2,1,0,1,3],basis_mat=Rational{BigInt}[1,0,0,0,1,0,0,0,1],min=big(1),aut=big(8),kissing=big(2)), (name="digonalC(evenholotype)",rank=3,deg=3,amb=Rational{BigInt}[2,0,0,0,2,1,0,1,4],basis_mat=Rational{BigInt}[1,0,0,0,1,0,0,0,1],min=big(2),aut=big(8),kissing=big(4)), (name="digonalF(classicalholotype)",rank=3,deg=3,amb=Rational{BigInt}[3,1,-1,1,4,1,-1,1,3],basis_mat=Rational{BigInt}[1,0,0,0,1,0,0,0,1],min=big(3),aut=big(8),kissing=big(4)), (name="digonalF(evenholotype)",rank=3,deg=3,amb=Rational{BigInt}[4,2,2,2,4,1,2,1,6],basis_mat=Rational{BigInt}[1,0,0,0,1,0,0,0,1],min=big(4),aut=big(8),kissing=big(6)), (name="digonalI(classicalholotype)",rank=3,deg=3,amb=Rational{BigInt}[3,1,1,1,2,1,1,1,3],basis_mat=Rational{BigInt}[1,0,0,0,1,0,0,0,1],min=big(2),aut=big(8),kissing=big(2)), (name="digonalI(evenholotype)",rank=3,deg=3,amb=Rational{BigInt}[2,0,1,0,4,2,1,2,4],basis_mat=Rational{BigInt}[1,0,0,0,1,0,0,0,1],min=big(2),aut=big(8),kissing=big(2)), (name="digonalP(classicalholotype)",rank=3,deg=3,amb=Rational{BigInt}[1,0,0,0,2,0,0,0,3],basis_mat=Rational{BigInt}[1,0,0,0,1,0,0,0,1],min=big(1),aut=big(8),kissing=big(2)), (name="digonalP(evenholotype)",rank=3,deg=3,amb=Rational{BigInt}[2,0,0,0,4,0,0,0,6],basis_mat=Rational{BigInt}[1,0,0,0,1,0,0,0,1],min=big(2),aut=big(8),kissing=big(2)), (name="hexagonalP(classicalholotype)",rank=3,deg=3,amb=Rational{BigInt}[1,0,0,0,2,1,0,1,2],basis_mat=Rational{BigInt}[1,0,0,0,1,0,0,0,1],min=big(1),aut=big(24),kissing=big(2)), (name="hexagonalP(evenholotype)",rank=3,deg=3,amb=Rational{BigInt}[2,0,0,0,2,1,0,1,2],basis_mat=Rational{BigInt}[1,0,0,0,1,0,0,0,1],min=big(2),aut=big(24),kissing=big(8)), (name="monoclinicC(classicalholotype)",rank=3,deg=3,amb=Rational{BigInt}[2,1,0,1,3,1,0,1,3],basis_mat=Rational{BigInt}[1,0,0,0,1,0,0,0,1],min=big(2),aut=big(4),kissing=big(2)), (name="monoclinicC(evenholotype)",rank=3,deg=3,amb=Rational{BigInt}[4,1,0,1,2,1,0,1,6],basis_mat=Rational{BigInt}[1,0,0,0,1,0,0,0,1],min=big(2),aut=big(4),kissing=big(2)), (name="monoclinicP(classicalholotype)",rank=3,deg=3,amb=Rational{BigInt}[1,0,0,0,3,1,0,1,4],basis_mat=Rational{BigInt}[1,0,0,0,1,0,0,0,1],min=big(1),aut=big(4),kissing=big(2)), (name="monoclinicP(evenholotype)",rank=3,deg=3,amb=Rational{BigInt}[2,1,0,1,4,1,0,1,4],basis_mat=Rational{BigInt}[1,0,0,0,1,0,0,0,1],min=big(2),aut=big(4),kissing=big(2)), (name="tetragonalI(classicalholotype)",rank=3,deg=3,amb=Rational{BigInt}[2,1,0,1,3,1,0,1,2],basis_mat=Rational{BigInt}[1,0,0,0,1,0,0,0,1],min=big(2),aut=big(16),kissing=big(4)), (name="tetragonalI(evenholotype)",rank=3,deg=3,amb=Rational{BigInt}[2,1,0,1,4,1,0,1,2],basis_mat=Rational{BigInt}[1,0,0,0,1,0,0,0,1],min=big(2),aut=big(16),kissing=big(4)), (name="tetragonalP(classicalholotype)",rank=3,deg=3,amb=Rational{BigInt}[1,0,0,0,1,0,0,0,2],basis_mat=Rational{BigInt}[1,0,0,0,1,0,0,0,1],min=big(1),aut=big(16),kissing=big(4)), (name="tetragonalP(evenholotype)",rank=3,deg=3,amb=Rational{BigInt}[2,0,0,0,2,0,0,0,4],basis_mat=Rational{BigInt}[1,0,0,0,1,0,0,0,1],min=big(2),aut=big(16),kissing=big(4)), (name="triclinicP(classicalholotype)",rank=3,deg=3,amb=Rational{BigInt}[3,1,0,1,3,1,0,1,4],basis_mat=Rational{BigInt}[1,0,0,0,1,0,0,0,1],min=big(3),aut=big(2),kissing=big(4)), (name="triclinicP(evenholotype)",rank=3,deg=3,amb=Rational{BigInt}[4,1,0,1,4,2,0,2,6],basis_mat=Rational{BigInt}[1,0,0,0,1,0,0,0,1],min=big(4),aut=big(2),kissing=big(4)), (name="trigonalR(classicalholotype)",rank=3,deg=3,amb=Rational{BigInt}[2,1,0,1,2,1,0,1,3],basis_mat=Rational{BigInt}[1,0,0,0,1,0,0,0,1],min=big(2),aut=big(12),kissing=big(6)), (name="trigonalR(evenholotype)",rank=3,deg=3,amb=Rational{BigInt}[2,1,0,1,2,1,0,1,4],basis_mat=Rational{BigInt}[1,0,0,0,1,0,0,0,1],min=big(2),aut=big(12),kissing=big(6)), (name="zcc",rank=3,deg=3,amb=Rational{BigInt}[4,2,3,2,4,3,3,3,6],basis_mat=Rational{BigInt}[1,0,0,0,1,0,0,0,1],min=big(4),aut=big(16),kissing=big(10))],
[(name="A4",rank=4,deg=5,amb=Rational{BigInt}[3,2,2,2,1,2,3,2,2,1,2,2,3,2,1,2,2,2,3,1,1,1,1,1,1],basis_mat=Rational{BigInt}[1,-1,0,0,0,0,1,-1,0,0,0,0,1,-1,0,0,0,0,1,-1],min=big(2),aut=big(240),kissing=big(20)), (name="A4*",rank=4,deg=4,amb=Rational{BigInt}[4,-1,-1,-1,-1,4,-1,-1,-1,-1,4,-1,-1,-1,-1,4],basis_mat=Rational{BigInt}[1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1],min=big(4),aut=big(240),kissing=big(10)), (name="D4",rank=4,deg=4,amb=Rational{BigInt}[1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1],basis_mat=Rational{BigInt}[1,1,0,0,1,-1,0,0,0,1,-1,0,0,0,1,-1],min=big(2),aut=big(1152),kissing=big(24)), (name="D4asaHurwitzianlattice",rank=4,deg=4,amb=Rational{BigInt}[2,0,0,1,0,2,0,1,0,0,2,1,1,1,1,2],basis_mat=Rational{BigInt}[1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1],min=big(2),aut=big(1152),kissing=big(24)), (name="D4*",rank=4,deg=4,amb=Rational{BigInt}[1/2,0,0,0,0,1/2,0,0,0,0,1/2,0,0,0,0,1/2],basis_mat=Rational{BigInt}[2,0,0,0,0,2,0,0,0,0,2,0,1,1,1,1],min=big(2),aut=big(1152),kissing=big(24)), (name="E(14)",rank=4,deg=4,amb=Rational{BigInt}[4,1,0,-1,1,4,1,0,0,1,4,1,-1,0,1,4],basis_mat=Rational{BigInt}[1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1],min=big(4),aut=big(16),kissing=big(8)), (name="E(15)",rank=4,deg=4,amb=Rational{BigInt}[4,2,2,1,2,4,1,2,2,1,6,3,1,2,3,6],basis_mat=Rational{BigInt}[1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1],min=big(4),aut=big(24),kissing=big(6)), (name="Elkies_A",rank=4,deg=4,amb=Rational{BigInt}[4,0,2,1,0,2,1,1,2,1,20,1,1,1,1,10],basis_mat=Rational{BigInt}[1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1],min=big(2),aut=big(8),kissing=big(2)), (name="Elkies_B",rank=4,deg=4,amb=Rational{BigInt}[2,1,0,1,1,8,1,-3,0,1,10,2,1,-3,2,12],basis_mat=Rational{BigInt}[1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1],min=big(2),aut=big(4),kissing=big(2)), (name="Elkies_C",rank=4,deg=4,amb=Rational{BigInt}[4,1,2,1,1,4,1,0,2,1,6,-2,1,0,-2,20],basis_mat=Rational{BigInt}[1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1],min=big(4),aut=big(4),kissing=big(4)), (name="F4",rank=4,deg=4,amb=Rational{BigInt}[2,1,0,0,1,2,1,1,0,1,2,0,0,1,0,2],basis_mat=Rational{BigInt}[1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1],min=big(2),aut=big(1152),kissing=big(24)), (name="O(15)",rank=4,deg=4,amb=Rational{BigInt}[3,1,0,-1,1,3,1,0,0,1,6,2,-1,0,2,6],basis_mat=Rational{BigInt}[1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1],min=big(3),aut=big(4),kissing=big(4)), (name="QQF.4.a",rank=4,deg=4,amb=Rational{BigInt}[2,1,0,0,1,2,1,0,0,1,4,5,0,0,5,10],basis_mat=Rational{BigInt}[1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1],min=big(2),aut=big(72),kissing=big(6)), (name="QQF.4.b",rank=4,deg=4,amb=Rational{BigInt}[4,1,0,2,1,4,2,0,0,2,4,-1,2,0,-1,4],basis_mat=Rational{BigInt}[1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1],min=big(4),aut=big(24),kissing=big(12)), (name="QQF.4.e",rank=4,deg=4,amb=Rational{BigInt}[4,0,2,1,0,4,1,2,2,1,5,1,1,2,1,5],basis_mat=Rational{BigInt}[1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1],min=big(4),aut=big(8),kissing=big(4)), (name="QQF.4.f",rank=4,deg=4,amb=Rational{BigInt}[6,3,-2,2,3,6,-2,0,-2,-2,6,-3,2,0,-3,6],basis_mat=Rational{BigInt}[1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1],min=big(6),aut=big(24),kissing=big(12)), (name="QQF.4.g",rank=4,deg=4,amb=Rational{BigInt}[2,1,0,0,1,2,0,0,0,0,4,2,0,0,2,4],basis_mat=Rational{BigInt}[1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1],min=big(2),aut=big(144),kissing=big(6)), (name="QQF.4.i",rank=4,deg=4,amb=Rational{BigInt}[2,0,1,1,0,2,1,1,1,1,4,1,1,1,1,4],basis_mat=Rational{BigInt}[1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1],min=big(2),aut=big(64),kissing=big(4)), (name="S(7)",rank=4,deg=4,amb=Rational{BigInt}[3,1,0,-1,1,3,1,0,0,1,3,1,-1,0,1,3],basis_mat=Rational{BigInt}[1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1],min=big(3),aut=big(16),kissing=big(8)), (name="Z4",rank=4,deg=4,amb=Rational{BigInt}[1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1],basis_mat=Rational{BigInt}[1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1],min=big(1),aut=big(384),kissing=big(8))],
[(name="A5",rank=5,deg=6,amb=Rational{BigInt}[3,2,2,2,2,1,2,3,2,2,2,1,2,2,3,2,2,1,2,2,2,3,2,1,2,2,2,2,3,1,1,1,1,1,1,1],basis_mat=Rational{BigInt}[1,-1,0,0,0,0,0,1,-1,0,0,0,0,0,1,-1,0,0,0,0,0,1,-1,0,0,0,0,0,1,-1],min=big(2),aut=big(1440),kissing=big(30)), (name="A5*",rank=5,deg=5,amb=Rational{BigInt}[5,-1,-1,-1,-1,-1,5,-1,-1,-1,-1,-1,5,-1,-1,-1,-1,-1,5,-1,-1,-1,-1,-1,5],basis_mat=Rational{BigInt}[1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1],min=big(5),aut=big(1440),kissing=big(12)), (name="A5^{+2}",rank=5,deg=5,amb=Rational{BigInt}[3,-1,1,1,-1,-1,3,-1,1,1,1,-1,3,-1,1,1,1,-1,3,-1,-1,1,1,-1,3],basis_mat=Rational{BigInt}[1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1],min=big(3),aut=big(1440),kissing=big(20)), (name="A5^{+3}",rank=5,deg=5,amb=Rational{BigInt}[6,-3,0,0,0,-3,6,-3,0,3,0,-3,6,-3,0,0,0,-3,6,0,0,3,0,0,4],basis_mat=Rational{BigInt}[1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1],min=big(4),aut=big(1440),kissing=big(30)), (name="D5",rank=5,deg=5,amb=Rational{BigInt}[1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1],basis_mat=Rational{BigInt}[1,1,0,0,0,1,-1,0,0,0,0,1,-1,0,0,0,0,1,-1,0,0,0,0,1,-1],min=big(2),aut=big(3840),kissing=big(40)), (name="D5*",rank=5,deg=5,amb=Rational{BigInt}[1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1],basis_mat=Rational{BigInt}[2,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,2,0,1,1,1,1,1],min=big(4),aut=big(3840),kissing=big(10))],
[(name="(A3.sqrt(3)A3)+",rank=6,deg=6,amb=Rational{BigInt}[2,1,0,1,1,1,1,2,1,0,0,0,0,1,2,0,0,0,1,0,0,3,0,0,1,0,0,0,3,0,1,0,0,0,0,3],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1],min=big(2),aut=big(1152),kissing=big(12)), (name="6QF.6.a",rank=6,deg=6,amb=Rational{BigInt}[2,0,-1,0,0,0,0,2,1,0,0,0,-1,1,2,1,0,0,0,0,1,2,1,0,0,0,0,1,2,1,0,0,0,0,1,3],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1],min=big(2),aut=big(7680),kissing=big(40)), (name="6QF.6.b",rank=6,deg=6,amb=Rational{BigInt}[4,1,-1,-1,-1,1,1,4,1,1,-1,1,-1,1,4,1,1,1,-1,1,1,4,-1,-1,-1,-1,1,-1,4,1,1,1,1,-1,1,4],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1],min=big(4),aut=big(120),kissing=big(12)), (name="6QF.6.c",rank=6,deg=6,amb=Rational{BigInt}[4,0,0,-2,-1,2,0,4,0,-1,2,2,0,0,4,-2,2,-1,-2,-1,-2,5,-1,-1,-1,2,2,-1,5,0,2,2,-1,-1,0,5],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1],min=big(4),aut=big(48),kissing=big(6)), (name="6QF.6.d",rank=6,deg=6,amb=Rational{BigInt}[4,1,-1,-1,1,-1,1,4,0,1,2,1,-1,0,4,-1,2,-1,-1,1,-1,4,-1,0,1,2,2,-1,4,-1,-1,1,-1,0,-1,4],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1],min=big(4),aut=big(384),kissing=big(30)), (name="6QF.6.e",rank=6,deg=6,amb=Rational{BigInt}[7,2,1,-3,2,-4,2,7,-3,-1,-3,0,1,-3,7,2,2,-4,-3,-1,2,7,-3,0,2,-3,2,-3,7,-3,-4,0,-4,0,-3,8],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1],min=big(7),aut=big(48),kissing=big(24)), (name="6QF.6.f",rank=6,deg=6,amb=Rational{BigInt}[4,1,1,1,-2,-1,1,4,1,2,-1,-1,1,1,4,1,-1,-2,1,2,1,5,0,0,-2,-1,-1,0,5,0,-1,-1,-2,0,0,5],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1],min=big(4),aut=big(12),kissing=big(6)), (name="A6",rank=6,deg=7,amb=Rational{BigInt}[3,2,2,2,2,2,1,2,3,2,2,2,2,1,2,2,3,2,2,2,1,2,2,2,3,2,2,1,2,2,2,2,3,2,1,2,2,2,2,2,3,1,1,1,1,1,1,1,1],basis_mat=Rational{BigInt}[1,-1,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,1,-1],min=big(2),aut=big(10080),kissing=big(42)), (name="A6*",rank=6,deg=6,amb=Rational{BigInt}[6,-1,-1,-1,-1,-1,-1,6,-1,-1,-1,-1,-1,-1,6,-1,-1,-1,-1,-1,-1,6,-1,-1,-1,-1,-1,-1,6,-1,-1,-1,-1,-1,-1,6],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1],min=big(6),aut=big(10080),kissing=big(14)), (name="A6,1",rank=6,deg=6,amb=Rational{BigInt}[4,1,2,2,2,2,1,4,2,2,2,2,2,2,4,1,2,2,2,2,1,4,2,2,2,2,2,2,4,1,2,2,2,2,1,4],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1],min=big(4),aut=big(96),kissing=big(42)), (name="A6,2",rank=6,deg=6,amb=Rational{BigInt}[4,1,2,2,2,2,1,4,2,2,2,2,2,2,4,1,1,2,2,2,1,4,1,2,2,2,1,1,4,2,2,2,2,2,2,4],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1],min=big(4),aut=big(288),kissing=big(44)), (name="A6^(2)",rank=6,deg=6,amb=Rational{BigInt}[4,-1,-2,1,1,-2,-1,4,-1,-2,1,1,-2,-1,4,-1,-2,1,1,-2,-1,4,-1,-2,1,1,-2,-1,4,-1,-2,1,1,-2,-1,4],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1],min=big(4),aut=big(672),kissing=big(42)), (name="D6",rank=6,deg=6,amb=Rational{BigInt}[1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1],basis_mat=Rational{BigInt}[1,1,0,0,0,0,1,-1,0,0,0,0,0,1,-1,0,0,0,0,0,1,-1,0,0,0,0,0,1,-1,0,0,0,0,0,1,-1],min=big(2),aut=big(46080),kissing=big(60)), (name="D6*",rank=6,deg=6,amb=Rational{BigInt}[1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1],basis_mat=Rational{BigInt}[2,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,1,1,1,1,1,1],min=big(4),aut=big(46080),kissing=big(12)), (name="E6",rank=6,deg=6,amb=Rational{BigInt}[2,-1,0,0,0,0,-1,2,-1,0,0,0,0,-1,2,-1,0,-1,0,0,-1,2,-1,0,0,0,0,-1,2,0,0,0,-1,0,0,2],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1],min=big(2),aut=big(103680),kissing=big(72)), (name="E6*",rank=6,deg=6,amb=Rational{BigInt}[4,5,6,4,2,3,5,10,12,8,4,6,6,12,18,12,6,9,4,8,12,10,5,6,2,4,6,5,4,3,3,6,9,6,3,6],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1],min=big(4),aut=big(103680),kissing=big(54)), (name="E6.b",rank=6,deg=8,amb=Rational{BigInt}[3,0,0,0,0,0,0,1,0,3,2,2,2,2,1,0,0,2,3,2,2,2,1,0,0,2,2,3,2,2,1,0,0,2,2,2,3,2,1,0,0,2,2,2,2,3,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1],basis_mat=Rational{BigInt}[0,-1,1,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,-1,1,0,1/2,1/2,1/2,1/2,-1/2,-1/2,-1/2,-1/2],min=big(2),aut=big(103680),kissing=big(72)), (name="M6,2",rank=6,deg=6,amb=Rational{BigInt}[3,-1,-1,1,1,0,-1,3,-1,-1,0,1,-1,-1,3,0,-1,-1,1,-1,0,3,-1,1,1,0,-1,-1,3,-1,0,1,-1,1,-1,3],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1],min=big(3),aut=big(240),kissing=big(20)), (name="O(7)",rank=6,deg=6,amb=Rational{BigInt}[3,1,-1,1,0,0,1,3,1,1,1,1,-1,1,3,0,0,1,1,1,0,4,2,2,0,1,0,2,4,2,0,1,1,2,2,4],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1],min=big(3),aut=big(48),kissing=big(8))],
[(name="A7",rank=7,deg=8,amb=Rational{BigInt}[3,2,2,2,2,2,2,1,2,3,2,2,2,2,2,1,2,2,3,2,2,2,2,1,2,2,2,3,2,2,2,1,2,2,2,2,3,2,2,1,2,2,2,2,2,3,2,1,2,2,2,2,2,2,3,1,1,1,1,1,1,1,1,1],basis_mat=Rational{BigInt}[1,-1,0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,1,-1],min=big(2),aut=big(80640),kissing=big(56)), (name="A7*",rank=7,deg=7,amb=Rational{BigInt}[7,-1,-1,-1,-1,-1,-1,-1,7,-1,-1,-1,-1,-1,-1,-1,7,-1,-1,-1,-1,-1,-1,-1,7,-1,-1,-1,-1,-1,-1,-1,7,-1,-1,-1,-1,-1,-1,-1,7,-1,-1,-1,-1,-1,-1,-1,7],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1],min=big(7),aut=big(80640),kissing=big(16)), (name="D7",rank=7,deg=7,amb=Rational{BigInt}[1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1],basis_mat=Rational{BigInt}[1,1,0,0,0,0,0,1,-1,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,1,-1],min=big(2),aut=big(645120),kissing=big(84)), (name="D7*",rank=7,deg=7,amb=Rational{BigInt}[1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1],basis_mat=Rational{BigInt}[2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,1,1,1,1,1,1,1],min=big(4),aut=big(645120),kissing=big(14)), (name="E7",rank=7,deg=7,amb=Rational{BigInt}[2,-1,0,0,0,0,0,-1,2,-1,0,0,0,0,0,-1,2,-1,0,0,0,0,0,-1,2,-1,0,-1,0,0,0,-1,2,-1,0,0,0,0,0,-1,2,0,0,0,0,-1,0,0,2],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1],min=big(2),aut=big(2903040),kissing=big(126)), (name="E7*",rank=7,deg=7,amb=Rational{BigInt}[3,4,5,6,4,2,3,4,8,10,12,8,4,6,5,10,15,18,12,6,9,6,12,18,24,16,8,12,4,8,12,16,12,6,8,2,4,6,8,6,4,4,3,6,9,12,8,4,7],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1],min=big(3),aut=big(2903040),kissing=big(56)), (name="E7.b",rank=7,deg=8,amb=Rational{BigInt}[3,2,2,2,2,2,2,1,2,3,2,2,2,2,2,1,2,2,3,2,2,2,2,1,2,2,2,3,2,2,2,1,2,2,2,2,3,2,2,1,2,2,2,2,2,3,2,1,2,2,2,2,2,2,3,1,1,1,1,1,1,1,1,1],basis_mat=Rational{BigInt}[-1,1,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,-1,1,0,1/2,1/2,1/2,1/2,-1/2,-1/2,-1/2,-1/2],min=big(2),aut=big(2903040),kissing=big(126)), (name="E7.c",rank=7,deg=8,amb=Rational{BigInt}[1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,-1,0,0,0,0,0,0,-1,1],basis_mat=Rational{BigInt}[2,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,-1,1,0,0,1/2,1/2,1/2,1/2,1/2,1/2,1/2,1/2],min=big(2),aut=big(2903040),kissing=big(126)), 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(name="P7.19",rank=7,deg=7,amb=Rational{BigInt}[6,3,1,1,1,1,4,3,6,1,1,1,1,4,1,1,6,3,1,1,4,1,1,3,6,1,1,4,1,1,1,1,6,3,4,1,1,1,1,3,6,4,4,4,4,4,4,4,8],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1],min=big(6),aut=big(192),kissing=big(56)), (name="P7.2",rank=7,deg=7,amb=Rational{BigInt}[3,1,1,1,1,1,2,1,3,1,1,1,1,2,1,1,3,1,1,1,2,1,1,1,3,1,1,2,1,1,1,1,3,1,2,1,1,1,1,1,3,0,2,2,2,2,2,0,4],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1],min=big(3),aut=big(2903040),kissing=big(56)), (name="P7.20",rank=7,deg=7,amb=Rational{BigInt}[6,3,0,-2,-1,-1,-2,3,6,3,0,-2,-1,-1,0,3,6,3,0,-2,-1,-2,0,3,6,3,0,-2,-1,-2,0,3,6,3,0,-1,-1,-2,0,3,6,3,-2,-1,-1,-2,0,3,6],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1],min=big(6),aut=big(36),kissing=big(56)), (name="P7.21",rank=7,deg=7,amb=Rational{BigInt}[6,2,1,3,3,1,4,2,6,1,1,3,3,4,1,1,6,3,3,3,4,3,1,3,6,3,3,4,3,3,3,3,6,3,4,1,3,3,3,3,6,4,4,4,4,4,4,4,8],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1],min=big(6),aut=big(32),kissing=big(56)), (name="P7.22",rank=7,deg=7,amb=Rational{BigInt}[4,2,2,1,1,2,0,2,4,1,2,2,0,2,2,1,4,2,-1,2,0,1,2,2,4,1,0,2,1,2,-1,1,4,0,2,2,0,2,0,0,4,-1,0,2,0,2,2,-1,4],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1],min=big(4),aut=big(32),kissing=big(60)), (name="P7.23",rank=7,deg=7,amb=Rational{BigInt}[6,3,-1,-1,2,2,1,3,6,-1,-1,2,2,3,-1,-1,6,3,1,3,2,-1,-1,3,6,3,1,2,2,2,1,3,6,0,3,2,2,3,1,0,6,3,1,3,2,2,3,3,6],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1],min=big(6),aut=big(16),kissing=big(56)), (name="P7.24",rank=7,deg=7,amb=Rational{BigInt}[6,3,1,3,1,1,1,3,6,-2,1,3,3,-1,1,-2,6,3,1,-1,3,3,1,3,6,2,1,0,1,3,1,2,6,0,1,1,3,-1,1,0,6,-3,1,-1,3,0,1,-3,6],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1],min=big(6),aut=big(4),kissing=big(56)), (name="P7.25",rank=7,deg=7,amb=Rational{BigInt}[6,2,1,1,3,2,4,2,6,1,3,1,2,4,1,1,6,0,0,1,4,1,3,0,6,3,3,0,3,1,0,3,6,3,0,2,2,1,3,3,6,0,4,4,4,0,0,0,8],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1],min=big(6),aut=big(8),kissing=big(56)), (name="P7.26",rank=7,deg=7,amb=Rational{BigInt}[4,1,2,2,2,2,2,1,4,2,2,2,2,2,2,2,4,1,1,2,2,2,2,1,4,1,2,2,2,2,1,1,4,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,4],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1],min=big(4),aut=big(864),kissing=big(60)), (name="P7.27",rank=7,deg=7,amb=Rational{BigInt}[4,1,2,2,2,2,3,1,4,2,2,2,2,3,2,2,4,1,2,2,3,2,2,1,4,2,2,3,2,2,2,2,4,1,3,2,2,2,2,1,4,3,3,3,3,3,3,3,6],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1],min=big(4),aut=big(768),kissing=big(60)), (name="P7.28",rank=7,deg=7,amb=Rational{BigInt}[4,1,2,2,2,1,5,1,4,1,2,2,2,5,2,1,4,1,2,2,5,2,2,1,4,1,2,5,2,2,2,1,4,1,5,1,2,2,2,1,4,5,5,5,5,5,5,5,14],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1],min=big(4),aut=big(24),kissing=big(60)), (name="P7.29",rank=7,deg=7,amb=Rational{BigInt}[4,1,1,2,2,2,2,1,4,2,2,2,2,2,1,2,4,2,2,2,2,2,2,2,4,1,2,2,2,2,2,1,4,2,2,2,2,2,2,2,4,1,2,2,2,2,2,1,4],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1],min=big(4),aut=big(32),kissing=big(58)), (name="P7.3",rank=7,deg=7,amb=Rational{BigInt}[4,1,2,2,2,2,2,1,4,2,2,2,2,2,2,2,4,1,1,2,2,2,2,1,4,1,2,2,2,2,1,1,4,2,2,2,2,2,2,2,4,1,2,2,2,2,2,1,4],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1],min=big(4),aut=big(2592),kissing=big(72)), (name="P7.30",rank=7,deg=7,amb=Rational{BigInt}[4,1,2,2,2,2,1,1,4,1,2,2,2,2,2,1,4,1,2,2,2,2,2,1,4,1,2,2,2,2,2,1,4,1,2,2,2,2,2,1,4,1,1,2,2,2,2,1,4],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1],min=big(4),aut=big(28),kissing=big(56)), (name="P7.31",rank=7,deg=7,amb=Rational{BigInt}[4,1,2,2,2,2,3,1,4,1,2,2,2,3,2,1,4,1,2,2,3,2,2,1,4,1,2,3,2,2,2,1,4,2,3,2,2,2,2,2,4,3,3,3,3,3,3,3,6],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1],min=big(4),aut=big(16),kissing=big(56)), (name="P7.32",rank=7,deg=7,amb=Rational{BigInt}[4,1,2,2,2,2,2,1,4,2,2,2,2,2,2,2,4,1,2,2,2,2,2,1,4,2,2,2,2,2,2,2,4,1,2,2,2,2,2,1,4,2,2,2,2,2,2,2,4],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1],min=big(4),aut=big(192),kissing=big(56)), (name="P7.33",rank=7,deg=7,amb=Rational{BigInt}[2,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,2],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1],min=big(2),aut=big(80640),kissing=big(56)), (name="P7.4",rank=7,deg=7,amb=Rational{BigInt}[2,1,1,1,1,1,2,1,2,1,1,1,1,2,1,1,2,1,1,1,2,1,1,1,2,1,1,2,1,1,1,1,2,1,2,1,1,1,1,1,2,2,2,2,2,2,2,2,4],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1],min=big(2),aut=big(645120),kissing=big(84)), (name="P7.5",rank=7,deg=7,amb=Rational{BigInt}[4,1,2,1,2,2,2,1,4,1,2,2,2,2,2,1,4,1,2,2,2,1,2,1,4,2,2,2,2,2,2,2,4,1,2,2,2,2,2,1,4,1,2,2,2,2,2,1,4],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1],min=big(4),aut=big(256),kissing=big(72)), (name="P7.6",rank=7,deg=7,amb=Rational{BigInt}[6,2,2,2,3,3,3,2,6,2,2,3,3,3,2,2,6,2,3,3,3,2,2,2,6,3,3,3,3,3,3,3,6,2,3,3,3,3,3,2,6,1,3,3,3,3,3,1,6],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1],min=big(6),aut=big(192),kissing=big(64)), (name="P7.7",rank=7,deg=7,amb=Rational{BigInt}[4,2,2,0,1,1,1,2,4,2,1,0,1,2,2,2,4,1,1,0,2,0,1,1,4,2,2,1,1,0,1,2,4,2,2,1,1,0,2,2,4,2,1,2,2,1,2,2,4],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1],min=big(4),aut=big(48),kissing=big(68)), (name="P7.8",rank=7,deg=7,amb=Rational{BigInt}[4,-1,-1,2,-1,2,0,-1,4,1,0,0,0,2,-1,1,4,0,0,0,2,2,0,0,4,1,0,2,-1,0,0,1,4,0,2,2,0,0,0,0,4,0,0,2,2,2,2,0,4],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1],min=big(4),aut=big(128),kissing=big(64)), (name="P7.9",rank=7,deg=7,amb=Rational{BigInt}[10,3,3,3,3,3,8,3,10,3,3,3,3,8,3,3,10,3,3,3,8,3,3,3,10,3,3,8,3,3,3,3,10,5,8,3,3,3,3,5,10,8,8,8,8,8,8,8,16],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1],min=big(10),aut=big(192),kissing=big(56))],
[(name="8QF.8.a",rank=8,deg=8,amb=Rational{BigInt}[6,-2,1,3,-2,0,3,-1,-2,6,3,1,2,-1,1,0,1,3,6,3,0,-3,3,2,3,1,3,6,-2,-3,3,2,-2,2,0,-2,6,3,-3,-3,0,-1,-3,-3,3,6,-3,-3,3,1,3,3,-3,-3,6,2,-1,0,2,2,-3,-3,2,6],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1],min=big(6),aut=big(14400),kissing=big(120)), (name="8QF.8.d",rank=8,deg=8,amb=Rational{BigInt}[4,0,-1,-1,-1,1,-1,1,0,4,-1,0,1,1,0,-2,-1,-1,4,-1,1,0,1,1,-1,0,-1,4,-1,-1,-2,-1,-1,1,1,-1,4,0,1,-1,1,1,0,-1,0,4,-2,0,-1,0,1,-2,1,-2,6,-2,1,-2,1,-1,-1,0,-2,6],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1],min=big(4),aut=big(64),kissing=big(16)), (name="8QF.8.e",rank=8,deg=8,amb=Rational{BigInt}[6,3,2,0,-3,2,-2,2,3,6,2,-3,-3,2,-2,0,2,2,6,0,0,3,-3,3,0,-3,0,6,3,0,2,0,-3,-3,0,3,6,-2,2,0,2,2,3,0,-2,6,-3,0,-2,-2,-3,2,2,-3,6,-3,2,0,3,0,0,0,-3,6],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1],min=big(6),aut=big(2304),kissing=big(48)), (name="A2xD4",rank=8,deg=8,amb=Rational{BigInt}[4,2,0,0,-2,-1,0,0,2,4,2,2,-1,-2,-1,-1,0,2,4,0,0,-1,-2,0,0,2,0,4,0,-1,0,-2,-2,-1,0,0,4,2,0,0,-1,-2,-1,-1,2,4,2,2,0,-1,-2,0,0,2,4,0,0,-1,0,-2,0,2,0,4],basis_mat=Rational{BigInt}[1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1],min=big(4),aut=big(6912),kissing=big(72)), 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