_<alpha>:=PolynomialRing(Rationals());

M10_4:=<
<[ -3, 0, 1 ], 6, <<3*alpha + 6, -3*alpha>, <-5, 3>, <1, 0>, <-3*alpha + 6, 3*alpha>, <1, -3>, <0, 0>>>,
<[ -5, -1, 1 ], 8, <<-alpha + 5, -3>, <alpha + 4, -3>, <-5, 3>, <-alpha - 1, 3>, <1, 0>, <0, 0>, <1, -3>, <alpha - 2, 3>>>,
<[ -6, 0, 1 ], 8, <<-2*alpha - 4, 2*alpha>, <-5, 3>, <2*alpha - 4, -2*alpha>, <alpha - 1, -alpha>, <1, 0>, <0, 0>, <1, -3>, <-alpha - 1, 
alpha>>>,
<[ -2, 0, 0, 1 ], 6, <<-7*alpha^2 - 9*alpha - 10, 4*alpha^2 + 5*alpha + 4>, <-5, 3>, <1, 0>, <1, -3>, <0, 0>, <alpha^2 + alpha - 2, -4*alpha^2 - 5*alpha - 4>>>,
<[ -3, -8, -1, 1 ], 6, <<17*alpha^2 - 24*alpha - 125, -9*alpha^2 + 12*alpha + 63>, <-5, 3>, <1, 0>, <-alpha^2 + 1, 9*alpha^2 - 12*alpha - 63>, <1, -3>, <0, 0>>>,
<[ 3, -6, -1, 1 ], 6, <<-5, 3>, <-alpha^2 - 4*alpha - 3, 3*alpha + 3>, <-alpha^2 + 2*alpha + 3, -3*alpha - 3>, <1, 0>, <1, -3>, <0, 0>>>,
<[ 9, -8, -1, 1 ], 8, <<27*alpha^2 - 9*alpha - 248, -231*alpha^2 + 777*alpha - 366>, <-5, 3>, <-11*alpha^2 - 3*alpha + 91, 5*alpha^2 + 2*alpha - 45>, <-435*alpha^2 + 1545*alpha - 980, 231*alpha^2 - 777*alpha + 366>, <1, -3>, <1, 0>, <-alpha^2 + alpha + 1, -5*alpha^2 - 2*alpha + 45>, <0, 0>>>,
<[ 4, -7, -1, 1 ], 6, <<-4260*alpha^2 + 15570*alpha - 7295, 2100*alpha^2 - 7938*alpha + 3453>, <-5, 3>, <1, 0>, <1, -3>, <0, 0>, <-60*alpha^2 - 306*alpha - 389, -2100*alpha^2 + 7938*alpha - 3453>>>,
<[ -1, -8, -1, 1 ], 6, <<-12*alpha^2 + 27*alpha + 49, -39*alpha - 51>, <-12*alpha^2 - 51*alpha - 53, 39*alpha + 51>, <-5, 3>, <1, 0>, <1, -3>, <0, 0>>>,
<[ -3, -9, 0, 1 ], 6, <<1, -3>, <1, 0>, <0, 0>, <-5, 3>, <-alpha^2 + 5*alpha - 5, alpha^2 + 6>, <alpha^2 + 5*alpha + 7, -alpha^2 - 6>>>,
<[ 1, -13, -1, 1 ], 6, <<1/2*(3*alpha^2 + 10*alpha + 3), 1/2*(-alpha^2 - 6*alpha - 5)>, <1/2*(alpha^2 - 2*alpha - 7), 1/2*(alpha^2 + 6*alpha + 5)>, <-5, 3>, <1, 0>, <1, -3>, <0, 0>>>,
<[ 6, -9, -1, 1 ], 6, <<-5, 3>, <-2*alpha^2 + 7*alpha - 1, 2*alpha^2 - 2*alpha - 3>, <1, 0>, <1, -3>, <0, 0>, <2*alpha^2 + 3*alpha - 7, -2*alpha^2 + 2*alpha + 3>>>,
<[ -2, -8, 0, 1 ], 6, <<-6*alpha^2 - 15*alpha + 4, 3*alpha^2 + 9*alpha - 6>, <-5, 3>, <1, 0>, <1, -3>, <0, 0>, <3*alpha - 8, -3*alpha^2 - 9*alpha + 6>>>,
<[ -5, -9, 0, 1 ], 6, <<alpha^2 - 3*alpha, -alpha^2 + 4*alpha + 2>, <-5, 3>, <1, 0>, <1, -3>, <0, 0>, <-alpha^2 + 5*alpha + 4, alpha^2 - 4*alpha - 2>>>,
<[ -2, -9, 0, 1 ], 6, <<1, -3>, <-7*alpha^2 + 3*alpha + 59, 4*alpha^2 - alpha - 29>, <1, 0>, <0, 0>, <-5, 3>, <alpha^2 + alpha + 1, -4*alpha^2 + alpha + 29>>>,
<[ -2, -10, 0, 1 ], 6, <<6*alpha^2 - 15*alpha - 14, -3*alpha^2 + 9*alpha + 12>, <-5, 3>, <3*alpha + 10, 3*alpha^2 - 9*alpha - 12>, <1, 0>, <0, 0>, <1, -3>>>,
<[ 7, -10, -1, 1 ], 6, <<alpha^2 - alpha - 7, -alpha^2 + 7>, <-5, 3>, <1, 0>, <1, -3>, <0, 0>, <-alpha^2 - alpha + 7, alpha^2 - 7>>>,
<[ -15, -15, -1, 1 ], 6, <<-5*alpha - 12, -12*alpha^2 + 45*alpha + 78>, <-24*alpha^2 + 85*alpha + 144, 12*alpha^2 - 45*alpha - 78>, <-5, 3>, <1, 0>, <1, -3>, <0, 0>>>,
<[ 33, -18, -1, 1 ], 6, <<3*alpha^2 + 15*alpha - 44, -3*alpha^2 - 12*alpha + 33>, <-3*alpha^2 - 9*alpha + 22, 3*alpha^2 + 12*alpha - 33>, <-5, 3>, <1, 0>, <1, -3>, <0, 0>>>,
<[ 33, -21, -1, 1 ], 6, <<1/2*(alpha^2 + 6*alpha - 11), 1/2*(alpha^2 - 4*alpha - 33)>, <-5, 3>, <1/2*(3*alpha^2 - 2*alpha - 77), 1/2*(-alpha^2 + 4*alpha + 33)>, <1, 0>, <1, -3>, <0, 0>>>,
<[ -10, -13, -1, 1 ], 6, <<-3*alpha^2 + 18*alpha + 19, 3*alpha^2 - 15*alpha - 12>, <-5, 3>, <1, 0>, <1, -3>, <0, 0>, <3*alpha^2 - 12*alpha - 5, -3*alpha^2 + 15*alpha + 12>>>,
<[ 15, -12, -1, 1 ], 5, <<-5, 3>, <1, 0>, <1, -3>, <0, 0>, <-22*alpha^2 - 12*alpha + 275, 10*alpha^2 + 8*alpha - 138>>>,
<[ -24, -21, 0, 1 ], 6, <<-5, 3>, <1/2*(3*alpha^2 - alpha - 46), -alpha^2 + 12>, <1/2*(-alpha^2 - alpha + 2), alpha^2 - 12>, <1, 0>, <1, -3>, <0, 0>>>,
<[ -6, -12, 0, 1 ], 6, <<-5, 3>, <2*alpha^2 - 5*alpha - 8, -alpha^2 + 3*alpha + 6>, <alpha + 4, alpha^2 - 3*alpha - 6>, <1, 0>, <1, -3>, <0, 0>>>,
<[ 39, -23, -1, 1 ], 6, <<-alpha^2 - 8*alpha - 14, 1/2*(-alpha^2 + 8*alpha + 51)>, <-2*alpha^2 + 37, 1/2*(alpha^2 - 8*alpha - 51)>, <-5, 3>, <1, 0>, <1, -3>, <0, 0>>>,
<[ 3, -12, -1, 1 ], 6, <<alpha^2 - 6*alpha + 9, 3*alpha - 9>, <alpha^2 - 9, -3*alpha + 9>, <-5, 3>, <1, 0>, <1, -3>, <0, 0>>>,
<[ 27, -17, -1, 1 ], 6, <<-3*alpha^2 + 5*alpha + 1, 2*alpha^2 - alpha - 3>, <alpha^2 + 3*alpha - 5, -2*alpha^2 + alpha + 3>, <-5, 3>, <1, 0>, <1, -3>, <0, 0>>>,
<[ 30, -18, -1, 1 ], 6, <<-5, 3>, <5*alpha^2 - 10*alpha - 30, -3*alpha^2 + 6*alpha + 30>, <1, 0>, <1, -3>, <0, 0>, <-alpha^2 + 2*alpha + 30, 3*alpha^2 - 6*alpha - 30>>>,
<[ -27, -30, 0, 1 ], 6, <<-5, 3>, <1, 0>, <0, 0>, <1, -3>, <1/3*(5*alpha^2 - 6*alpha - 150), -3*alpha + 21>, <1/3*(5*alpha^2 - 24*alpha - 24), 3*alpha - 21>>>,
<[ 1, 0, -1, 0, 1 ], 6, <<-5, 3>, <-3*alpha^3 + 6*alpha + 6, 3*alpha^3 - 6*alpha>, <1, -3>, <3*alpha^3 - 6*alpha + 6, -3*alpha^3 + 6*alpha>, <1, 0>, <0, 0>>>,
<[ 4, -2, -1, -1, 1 ], 8, <<1/2*(alpha^3 - alpha^2 - 3*alpha + 8), -3>, <1/2*(alpha^3 - alpha^2 - 3*alpha - 4), 3>, <-5, 3>, <1, -3>, <1/2*(-alpha^3 + alpha^2 + 3*alpha - 2), 3>, <1/2*(-alpha^3 + alpha^2 + 3*alpha + 10), -3>, <1, 0>, <0, 0>>>,
<[ 4, 0, -2, 0, 1 ], 8, <<alpha^3 - 4*alpha - 4, -alpha^3 + 4*alpha>, <1, -3>, <1/2*(alpha^3 - 4*alpha - 2), 1/2*(-alpha^3 + 4*alpha)>, <1/2*(-alpha^3 + 4*alpha - 2), 1/2*(alpha^3 - 4*alpha)>, <1, 0>, <0, 0>, <-5, 3>, <-alpha^3 + 4*alpha - 4, alpha^3 - 4*alpha>>>,
<[ 1, 0, 4, 0, 1 ], 6, <<3*alpha^2 + 12, -3*alpha^2 - 6>, <-5, 3>, <1, 0>, <-3*alpha^2, 3*alpha^2 + 6>, <1, -3>, <0, 0>>>,
<[ 9, 0, 0, 0, 1 ], 8, <<1/3*(2*alpha^3 - 6*alpha - 12), 1/3*(-2*alpha^3 + 6*alpha)>, <-5, 3>, <1/3*(-2*alpha^3 + 6*alpha - 12), 1/3*(2*alpha^3 - 6*alpha)>, <1/3*(alpha^3 - 3*alpha - 3), 1/3*(-alpha^3 + 3*alpha)>, <1, -3>, <1/3*(-alpha^3 + 3*alpha - 3), 1/3*(alpha^3 - 3*alpha)>, <1, 0>, <0, 0>>>,
<[ 4, 0, 1, 0, 1 ], 6, <<-5, 3>, <1/2*(-3*alpha^3 + 3*alpha + 12), 1/2*(3*alpha^3 - 3*alpha)>, <1, 0>, <1, -3>, <0, 0>, <1/2*(3*alpha^3 - 3*alpha + 12), 1/2*(-3*alpha^3 + 3*alpha)>>>,
<[ 18, 0, 6, 0, 1 ], 8, <<-5, 3>, <1/3*(-alpha^3 + alpha^2 - 3*alpha), 1/3*(alpha^3 + 3*alpha)>, <1, -3>, <1/3*(-2*alpha^2 + 3*alpha - 6), -alpha>, <1/3*(-2*alpha^2 - 3*alpha - 6), alpha>, <1/3*(alpha^3 + alpha^2 + 3*alpha), 1/3*(-alpha^3 - 3*alpha)>, <1, 0>, <0, 0>>>,
<[ 6, -6, 3, 0, 1 ], 6, <<1/4*(3*alpha^3 - 3*alpha^2 + 6), 1/4*(-3*alpha^3 + 3*alpha^2 + 18)>, <-5, 3>, <1/4*(-3*alpha^3 + 3*alpha^2 + 42), 1/4*(3*alpha^3 - 3*alpha^2 - 18)>, <1, 0>, <1, -3>, <0, 0>>>,
<[ 25, 0, 11, 0, 1 ], 8, <<-alpha^2 - 7, 3>, <alpha^2 + 10, -3>, <alpha^2 + 4, 3>, <-5, 3>, <1, -3>, <1, 0>, <0, 0>, <-alpha^2 - 1, -3>>>,
<[ 22, 2, -1, -2, 1 ], 6, <<1/19*(-6*alpha^3 + 9*alpha^2 + 39*alpha + 93), 1/19*(6*alpha^3 - 9*alpha^2 - 39*alpha + 21)>, <1/19*(6*alpha^3 - 9*alpha^2 - 39*alpha + 135), 1/19*(-6*alpha^3 + 9*alpha^2 + 39*alpha - 21)>, <-5, 3>, <1, 0>, <1, -3>, <0, 0>>>,
<[ 6, 0, 4, -2, 1 ], 6, <<-alpha^3 + alpha^2 + 3, alpha^3 - alpha^2 + 3>, <-5, 3>, <1, 0>, <alpha^3 - alpha^2 + 9, -alpha^3 + alpha^2 - 3>, <1, -3>, <0, 0>>>,
<[ 1, -2, 0, -2, 1 ], 6, <<3*alpha^3 - 6*alpha^2 - 3*alpha + 3, -3*alpha^3 + 6*alpha^2 + 3*alpha + 3>, <-5, 3>, <1, 0>, <-3*alpha^3 + 6*alpha^2 + 3*alpha + 9, 3*alpha^3 - 6*alpha^2 - 3*alpha - 3>, <1, -3>, <0, 0>>>,
<[ 1, -1, -3, -1, 1 ], 8, <<alpha^3 - alpha^2 - 4*alpha - 2, 3>, <-alpha^3 + alpha^2 + 4*alpha + 5, -3>, <-alpha^3 + alpha^2 + 4*alpha - 1, 3>, <-5, 3>, <1, -3>, <1, 0>, <0, 0>, <alpha^3 - alpha^2 - 4*alpha + 4, -3>>>,
<[ 1, -2, -1, -1, 1 ], 5, <<-2*alpha^3 - 4*alpha^2 - alpha + 2, -16*alpha^3 + 13*alpha^2 + 21*alpha + 40>, <-5, 3>, <1, 0>, <1, -3>, <0, 0>>>,
<[ -5, 0, 0, 0, 1 ], 6, <<25872*alpha^3 + 38640*alpha^2 + 57708*alpha + 86401, -25872*alpha^3 - 57708*alpha>, <-25872*alpha^3 + 38640*alpha^2 - 57708*alpha + 86401, 25872*alpha^3 + 57708*alpha>, <-5, 3>, <1, 0>, <1, -3>, <0, 0>>>,
<[ -2, -3, -1, 0, 1 ], 5, <<-5, 3>, <-8*alpha^3 + 81*alpha^2 + 83*alpha + 133, 17*alpha^3 - 47*alpha^2 - 43*alpha - 119>, <1, 0>, <1, -3>, <0, 0>>>,
<[ -5, -5, -1, -1, 1 ], 6, <<1/5*(44*alpha^3 + 48*alpha^2 + 20*alpha + 15), 1/5*(-92*alpha^3 + 96*alpha^2 - 20*alpha + 370)>, <-28*alpha^3 + 48*alpha^2 - 4*alpha + 151, 1/5*(92*alpha^3 - 96*alpha^2 + 20*alpha - 370)>, <-5, 3>, <1, 0>, <1, -3>, <0, 0>>>,
<[ -2, -1, 0, -1, 1 ], 6, <<12*alpha^3 - 22*alpha^2 + 19*alpha - 27, -7*alpha^3 + 12*alpha^2 - 9*alpha + 13>, <-2*alpha^3 + 2*alpha^2 + alpha - 1, 7*alpha^3 - 12*alpha^2 + 9*alpha - 13>, <-5, 3>, <1, 0>, <1, -3>, <0, 0>>>,
<[ -1, 0, -3, 0, 1 ], 6, <<342*alpha^3 + 600*alpha^2 + 60*alpha + 181, -342*alpha^3 - 60*alpha>, <-342*alpha^3 + 600*alpha^2 - 60*alpha + 181, 342*alpha^3 + 60*alpha>, <-5, 3>, <1, -3>, <1, 0>, <0, 0>>>,
<[ 1, -3, -4, 0, 1 ], 6, <<alpha^3 + 4*alpha^2 + 3*alpha, -2*alpha^2 - 3*alpha - 2>, <-5, 3>, <1, 0>, <1, -3>, <0, 0>, <alpha^3 - 3*alpha - 4, 2*alpha^2 + 3*alpha + 2>>>,
<[ -4, 0, -2, 0, 1 ], 6, <<-3*alpha^3 - 6*alpha^2 - 6*alpha - 8, 3*alpha^3 + 6*alpha>, <3*alpha^3 - 6*alpha^2 + 6*alpha - 8, -3*alpha^3 - 6*alpha>, <-5, 3>, <1, 0>, <1, -3>, <0, 0>>>,
<[ 1, -3, -1, 0, 1 ], 6, <<-90*alpha^3 - 155*alpha^2 - 160*alpha + 30, 40*alpha^3 + 76*alpha^2 + 85*alpha + 1>, <-10*alpha^3 - 3*alpha^2 + 10*alpha + 32, -40*alpha^3 - 76*alpha^2 - 85*alpha - 1>, <-5, 3>, <1, 0>, <1, -3>, <0, 0>>>,
<[ 1, -6, 1, 0, 1 ], 6, <<-alpha^3 + alpha^2 + alpha + 11, alpha^3 - alpha^2 - alpha - 5>, <-5, 3>, <1, 0>, <alpha^3 - alpha^2 - alpha + 1, -alpha^3 + alpha^2 + alpha + 5>, <1, -3>, <0, 0>>>,
<[ -2, 2, -1, -2, 1 ], 6, <<3*alpha^2 - 3*alpha + 3, -3*alpha^2 + 3*alpha + 3>, <-5, 3>, <1, 0>, <-3*alpha^2 + 3*alpha + 9, 3*alpha^2 - 3*alpha - 3>, <1, -3>, <0, 0>>>,
<[ 2, -2, 0, -2, 1 ], 6, <<-5, 3>, <58740*alpha^3 - 74025*alpha^2 - 55005*alpha - 158405, -29316*alpha^3 + 37029*alpha^2 + 27525*alpha + 79155>, <1, -3>, <108*alpha^3 + 33*alpha^2 + 45*alpha - 95, 29316*alpha^3 - 37029*alpha^2 - 27525*alpha - 79155>, <1, 0>, <0, 0>>>,
<[ -9, 0, 3, 0, 1 ], 10, <<-5, 3>, <1/3*(-122*alpha^3 - 164*alpha^2 - 585*alpha - 798), 1/3*(122*alpha^3 + 585*alpha)>, <1, 0>, <0, 0>, <1/3*(alpha^3 + alpha^2 + 3), -1/3*alpha^3>, <1, -3>, <1/3*(3*alpha^3 - 4*alpha^2 + 15*alpha - 18), -alpha^3 - 5*alpha>, <1/3*(alpha^3 - alpha^2 + 6*alpha - 6), 1/3*(-alpha^3 - 6*alpha)>, <1/3*(-alpha^3 - alpha^2 - 6*alpha - 6), 1/3*(alpha^3 + 6*alpha)>, <1/3*(-alpha^3 + alpha^2 + 3), 1/3*alpha^3>>>,
<[ -2, 1, 2, -1, 1 ], 6, <<-10*alpha^3 + alpha^2 - 17*alpha - 27, 5*alpha^3 + 8*alpha + 14>, <-5, 3>, <1, 0>, <1, -3>, <0, 0>, <alpha^2 - alpha + 1, -5*alpha^3 - 8*alpha - 14>>>,
<[ -2, 0, -2, 0, 1 ], 8, <<-3*alpha^3 - 5*alpha^2 - 3*alpha - 4, 3*alpha^3 + 3*alpha>, <-3*alpha^2 + 9, 3*alpha^2 - 3>, <3*alpha^3 - 5*alpha^2 + 3*alpha - 4, -3*alpha^3 - 3*alpha>, <-5, 3>, <1, 0>, <3*alpha^2 + 3, -3*alpha^2 + 3>, <1, -3>, <0, 0>>>,
<[ -2, 0, 2, 0, 1 ], 6, <<3*alpha^2 + 9, -3*alpha^2 - 3>, <-5, 3>, <-3*alpha^2 + 3, 3*alpha^2 + 3>, <1, 0>, <1, -3>, <0, 0>>>,
<[ -2, 1, 3, -2, 1 ], 5, <<-alpha^3 + 2*alpha^2 + 4*alpha - 3, 8*alpha^3 - 10*alpha^2 + 13*alpha + 22>, <-5, 3>, <1, 0>, <1, -3>, <0, 0>>>,
<[ -1, -3, 0, -2, 1 ], 6, <<-3*alpha^3 + 9*alpha^2 - 6*alpha + 7, -6*alpha^2 + 3*alpha - 3>, <-5, 3>, <1, 0>, <1, -3>, <-3*alpha^3 - 3*alpha^2 + 1, 6*alpha^2 - 3*alpha + 3>, <0, 0>>>,
<[ -3, -6, -3, 0, 1 ], 6, <<3*alpha^3 - 3*alpha^2 - 9*alpha - 3, -3*alpha^3 + 3*alpha^2 + 9*alpha + 9>, <-5, 3>, <1, 0>, <-3*alpha^3 + 3*alpha^2 + 9*alpha + 15, 3*alpha^3 - 3*alpha^2 - 9*alpha - 9>, <1, -3>, <0, 0>>>,
<[ -2, -2, 3, -2, 1 ], 6, <<3*alpha^2 - 3*alpha + 9, -3*alpha^2 + 3*alpha - 3>, <-5, 3>, <-3*alpha^2 + 3*alpha + 3, 3*alpha^2 - 3*alpha + 3>, <1, 0>, <1, -3>, <0, 0>>>,
<[ -11, 0, 2, 0, 1 ], 8, <<16*alpha^3 + 25*alpha^2 + 70*alpha + 111, -16*alpha^3 - 70*alpha>, <1/2*(-3*alpha^2 + 9), 1/2*(3*alpha^2 + 3)>, <1/2*(3*alpha^2 + 15), 1/2*(-3*alpha^2 - 3)>, <-5, 3>, <1, 0>, <1, -3>, <0, 0>, <-16*alpha^3 + 25*alpha^2 - 70*alpha + 111, 16*alpha^3 + 70*alpha>>>,
<[ -11, 0, -2, 0, 1 ], 6, <<1/2*(-3*alpha^2 + 15), 1/2*(3*alpha^2 - 3)>, <1/2*(3*alpha^2 + 9), 1/2*(-3*alpha^2 + 3)>, <-5, 3>, <1, 0>, <1, -3>, <0, 0>>>,
<[ -2, -2, 2, -1, 1 ], 6, <<13*alpha^3 + 5*alpha^2 + 33*alpha + 20, -6*alpha^3 - 3*alpha^2 - 15*alpha - 12>, <-5, 3>, <1, 0>, <1, -3>, <alpha^3 - alpha^2 + 3*alpha - 4, 6*alpha^3 + 3*alpha^2 + 15*alpha + 12>, <0, 0>>>,
<[ -3, 0, 1, -2, 1 ], 6, <<-3*alpha^2 + 3*alpha + 6, 3*alpha^2 - 3*alpha>, <-5, 3>, <3*alpha^2 - 3*alpha + 6, -3*alpha^2 + 3*alpha>, <1, 0>, <1, -3>, <0, 0>>>,
<[ -2, -6, -1, 0, 1 ], 6, <<1/2*(-3*alpha^3 + 3*alpha^2 + 6*alpha + 24), 1/2*(3*alpha^3 - 3*alpha^2 - 6*alpha - 12)>, <1/2*(3*alpha^3 - 3*alpha^2 - 6*alpha), 1/2*(-3*alpha^3 + 3*alpha^2 + 6*alpha + 12)>, <-5, 3>, <1, 0>, <1, -3>, <0, 0>>>,
<[ -3, 0, 0, 0, 1 ], 6, <<3*alpha^2 + 6, -3*alpha^2>, <-5, 3>, <1, 0>, <-3*alpha^2 + 6, 3*alpha^2>, <1, -3>, <0, 0>>>,
<[ -5, -4, 0, -1, 1 ], 6, <<alpha^2, -alpha^3 + alpha^2 - 2*alpha + 5>, <-2*alpha^3 + 3*alpha^2 - 4*alpha + 10, alpha^3 - alpha^2 + 2*alpha - 5>, <-5, 3>, <1, 0>, <1, -3>, <0, 0>>>,
<[ 3, -3, -2, 0, 1 ], 6, <<-5, 3>, <-2*alpha^3 - 2*alpha^2 + alpha + 2, 4*alpha^3 + 3*alpha^2 - 5*alpha - 12>, <6*alpha^3 + 4*alpha^2 - 9*alpha - 22, -4*alpha^3 - 3*alpha^2 + 5*alpha + 12>, <1, 0>, <1, -3>, <0, 0>>>,
<[ 2, 4, -3, -1, 1 ], 6, <<-42*alpha^3 + 59*alpha^2 + 102*alpha - 208, 22*alpha^3 - 29*alpha^2 - 52*alpha + 104>, <-5, 3>, <1, 0>, <0, 0>, <1, -3>, <2*alpha^3 + alpha^2 - 2*alpha, -22*alpha^3 + 29*alpha^2 + 52*alpha - 104>>>,
<[ -20, 10, -1, -1, 1 ], 7, <<-5, 3>, <1/7*(26*alpha^3 + 22*alpha^2 + 13*alpha + 291), 1/7*(-13*alpha^3 - 11*alpha^2 - 3*alpha - 149)>, <1/2*(-19*alpha^3 - 13*alpha^2 - 3*alpha - 206), 1/7*(46*alpha^3 - 16*alpha^2 + 72*alpha + 293)>, <1/14*(-17*alpha^3 + 61*alpha^2 - 131*alpha + 160), 1/7*(4*alpha^3 - 16*alpha^2 + 30*alpha - 43)>, <1, 0>, <1, -3>, <0, 0>>>,
<[ -3, 0, -1, 0, 1 ], 6, <<-13*alpha^3 + 20*alpha^2 - 17*alpha + 26, 13*alpha^3 + 17*alpha>, <13*alpha^3 + 20*alpha^2 + 17*alpha + 26, -13*alpha^3 - 17*alpha>, <-5, 3>, <1, 0>, <1, -3>, <0, 0>>>,
<[ -3, 3, 1, -1, 1 ], 5, <<-9*alpha^3 + 26*alpha^2 - 44*alpha + 36, 3*alpha^3 - 12*alpha^2 + 21*alpha - 24>, <-5, 3>, <1, 0>, <1, -3>, <0, 0>>>,
<[ -2, 4, -3, -2, 1 ], 8, <<-2*alpha^2 + 2*alpha, 2*alpha^2 - 2*alpha - 4>, <1, -3>, <-alpha^2 + alpha + 1, alpha^2 - alpha - 2>, <1, 0>, <0, 0>, <-5, 3>, <alpha^2 - alpha - 3, -alpha^2 + alpha + 2>, <2*alpha^2 - 2*alpha - 8, -2*alpha^2 + 2*alpha + 4>>>,
<[ 1, -2, -3, -2, 1 ], 8, <<2*alpha^3 - 4*alpha^2 - 8*alpha - 6, -2*alpha^3 + 4*alpha^2 + 8*alpha + 2>, <1, -3>, <alpha^3 - 2*alpha^2 - 4*alpha - 2, -alpha^3 + 2*alpha^2 + 4*alpha + 1>, <1, 0>, <0, 0>, <-5, 3>, <-alpha^3 + 2*alpha^2 + 4*alpha, alpha^3 - 2*alpha^2 - 4*alpha - 1>, <-2*alpha^3 + 4*alpha^2 + 8*alpha - 2, 2*alpha^3 - 4*alpha^2 - 8*alpha - 2>>>,
<[ -2, -4, -1, -1, 1 ], 6, <<-11*alpha^3 - 22*alpha^2 - 29*alpha - 21, 6*alpha^3 + 12*alpha^2 + 9*alpha + 12>, <alpha^3 + 2*alpha^2 - 11*alpha + 3, -6*alpha^3 - 12*alpha^2 - 9*alpha - 12>, <-5, 3>, <1, 0>, <1, -3>, <0, 0>>>,
<[ -2, 1, 5, -1, 1 ], 6, <<17*alpha^3 - 10*alpha^2 + 71*alpha + 57, 43*alpha^3 - 90*alpha^2 + 289*alpha - 236>, <103*alpha^3 - 190*alpha^2 + 649*alpha - 415, -43*alpha^3 + 90*alpha^2 - 289*alpha + 236>, <-5, 3>, <1, 0>, <1, -3>, <0, 0>>>,
<[ 1, -2, -4, -2, 1 ], 6, <<-5, 3>, <-22*alpha^3 + 38*alpha^2 + 98*alpha + 72, 12*alpha^3 - 18*alpha^2 - 48*alpha - 36>, <1, -3>, <1, 0>, <2*alpha^3 + 2*alpha^2 + 2*alpha, -12*alpha^3 + 18*alpha^2 + 48*alpha + 36>, <0, 0>>>,
<[ -12, 0, 3, 0, 1 ], 7, <<1/4*(-alpha^3 - 10*alpha^2 - 19*alpha - 6), 1/2*(13*alpha^3 - 15*alpha^2 + 72*alpha - 90)>, <-5, 3>, <1/4*(alpha^3 - 10*alpha^2 + 19*alpha - 6), 1/2*(-13*alpha^3 - 15*alpha^2 - 72*alpha - 90)>, <1, 0>, <0, 0>, <1, -3>, <1/4*(51*alpha^3 - 70*alpha^2 + 269*alpha - 366), 1/2*(-13*alpha^3 + 15*alpha^2 - 72*alpha + 90)>>>,
<[ 1, 4, -4, -1, 1 ], 10, <<3*alpha^3 - 14*alpha^2 + 11*alpha + 4, 17*alpha^3 + 14*alpha^2 - 71*alpha - 18>, <-5, 3>, <-17*alpha^3 + 20*alpha^2 + 65*alpha - 81, -3*alpha^3 - 20*alpha^2 - 5*alpha + 47>, <-4*alpha^3 - alpha^2 + 15*alpha + 4, 3*alpha^3 + 4*alpha^2 - 11*alpha - 13>, <4*alpha^3 + 4*alpha^2 - 11*alpha - 6, -2*alpha^3 - 3*alpha^2 + 7*alpha + 4>, <37*alpha^3 + 14*alpha^2 - 131*alpha - 32, -17*alpha^3 - 14*alpha^2 + 71*alpha + 18>, <1, 0>, <-23*alpha^3 - 20*alpha^2 + 55*alpha + 13, 3*alpha^3 + 20*alpha^2 + 5*alpha - 47>, <0, 0>, <1, -3>>>,
<[ 4, 0, -6, 0, 1 ], 6, <<1/2*(99*alpha^3 - 240*alpha^2 - 48*alpha + 182), 1/2*(-99*alpha^3 + 48*alpha)>, <1/2*(-273*alpha^3 + 240*alpha^2 + 1440*alpha - 1258), 1/2*(273*alpha^3 - 1440*alpha)>, <1, -3>, <-5, 3>, <1, 0>, <0, 0>>>,
<[ 1, 8, -7, -2, 1 ], 6, <<1/7*(-6*alpha^3 + 9*alpha^2 + 57*alpha + 12), 1/7*(6*alpha^3 - 9*alpha^2 - 57*alpha + 30)>, <1/7*(6*alpha^3 - 9*alpha^2 - 57*alpha + 72), 1/7*(-6*alpha^3 + 9*alpha^2 + 57*alpha - 30)>, <-5, 3>, <1, 0>, <1, -3>, <0, 0>>>,
<[ 1, 0, -4, 0, 1 ], 24, <<6*alpha^3 + 12*alpha^2 - 2*alpha - 2, -2*alpha^3 - 6*alpha^2 - 2*alpha>, <-3*alpha^2 + 12, 3*alpha^2 - 6>, <-alpha^3 - alpha^2 + 2*alpha + 2, -27*alpha^3 + 15*alpha^2 + 102*alpha - 54>, <55*alpha^3 + 29*alpha^2 - 206*alpha - 106, -27*alpha^3 - 15*alpha^2 + 102*alpha + 54>, <1, 0>, <0, 0>, <-2*alpha^3 + 6*alpha - 2, -2*alpha^3 + 6*alpha^2 - 2*alpha>, <-31*alpha^3 + 18*alpha^2 + 115*alpha - 65, 11*alpha^3 - 18*alpha^2 - 55*alpha + 36>, <31*alpha^3 + 18*alpha^2 - 115*alpha - 65, -11*alpha^3 - 18*alpha^2 + 55*alpha + 36>, <alpha^3 - 5*alpha - 1, -alpha^3 + 5*alpha>, <-6*alpha^3 + 12*alpha^2 + 2*alpha - 2, 2*alpha^3 - 6*alpha^2 + 2*alpha>, <1, -3>, <-55*alpha^3 + 29*alpha^2 + 206*alpha - 106, 27*alpha^3 - 15*alpha^2 - 102*alpha + 54>, <9*alpha^3 - 18*alpha^2 - 5*alpha + 7, 11*alpha^3 + 18*alpha^2 - 55*alpha - 36>, <22*alpha^3 - 12*alpha^2 - 82*alpha + 46, -10*alpha^3 + 6*alpha^2 + 38*alpha - 24>, <2*alpha^3 + alpha^2 - 7*alpha - 2, 6*alpha^3 - 15*alpha^2 + 3*alpha + 6>, <3*alpha^2, -3*alpha^2 + 6>, <-14*alpha^3 - 29*alpha^2 + alpha + 10, 6*alpha^3 + 15*alpha^2 + 3*alpha - 6>, <-22*alpha^3 - 12*alpha^2 + 82*alpha + 46, 10*alpha^3 + 6*alpha^2 - 38*alpha - 24>, <-5, 3>, <-alpha^3 + 5*alpha - 1, alpha^3 - 5*alpha>, <-9*alpha^3 - 18*alpha^2 + 5*alpha + 7, -11*alpha^3 + 18*alpha^2 + 55*alpha - 36>, <14*alpha^3 - 29*alpha^2 - alpha + 10, -6*alpha^3 + 15*alpha^2 - 3*alpha - 6>, <2*alpha^3 - 6*alpha - 2, 10*alpha^3 - 6*alpha^2 - 38*alpha + 24>>>,
<[ 1, 4, -3, -2, 1 ], 6, <<3*alpha^2 - 3*alpha, -3*alpha^2 + 3*alpha + 6>, <-5, 3>, <1, 0>, <-3*alpha^2 + 3*alpha + 12, 3*alpha^2 - 3*alpha - 6>, <1, -3>, <0, 0>>>,
<[ 5, 5, -4, -2, 1 ], 8, <<-3*alpha^3 + 3*alpha^2 + 12*alpha - 2, 6*alpha^3 - 21*alpha - 9>, <1, -3>, <3*alpha^3 - 6*alpha^2 - 9*alpha + 10, -6*alpha^3 + 18*alpha^2 + 3*alpha - 24>, <1, 0>, <0, 0>, <-5, 3>, <9*alpha^3 + 3*alpha^2 - 30*alpha - 20, -6*alpha^3 + 21*alpha + 9>, <-9*alpha^3 + 30*alpha^2 - 3*alpha - 38, 6*alpha^3 - 18*alpha^2 - 3*alpha + 24>>>,
<[ 1, 2, -4, -2, 1 ], 6, <<-3*alpha^3 + 6*alpha^2 + 9*alpha + 3, 3*alpha^3 - 6*alpha^2 - 9*alpha + 3>, <-5, 3>, <1, 0>, <3*alpha^3 - 6*alpha^2 - 9*alpha + 9, -3*alpha^3 + 6*alpha^2 + 9*alpha - 3>, <1, -3>, <0, 0>>>,
<[ 1, 0, -5, 0, 1 ], 12, <<-2*alpha^3 - 24*alpha^2 - 24*alpha + 17, 18*alpha^3 + 24*alpha^2 - 72*alpha - 60>, <2*alpha^3 - 24*alpha^2 + 24*alpha + 17, -18*alpha^3 + 24*alpha^2 + 72*alpha - 60>, <-alpha^2 + 7, -3>, <3*alpha^3 - 12*alpha + 6, -3*alpha^3 + 12*alpha>, <1, -3>, <alpha^2 - 4, 3>, <1, 0>, <-alpha^2 + 1, 3>, <0, 0>, <-5, 3>, <alpha^2 + 2, -3>, <-3*alpha^3 + 12*alpha + 6, 3*alpha^3 - 12*alpha>>>,
<[ 9, 3, -7, -1, 1 ], 7, <<-121*alpha^3 + 244*alpha^2 + 610*alpha - 1028, 55*alpha^3 - 106*alpha^2 - 301*alpha + 492>, <-38*alpha^3 - 85*alpha^2 + 26*alpha + 82, 11*alpha^3 + 40*alpha^2 + 37*alpha + 3>, <-16*alpha^3 - 5*alpha^2 + 100*alpha + 88, -11*alpha^3 - 40*alpha^2 - 37*alpha - 3>, <-5, 3>, <1, 0>, <1, -3>, <0, 0>>>,
<[ 7, 2, -7, -2, 1 ], 6, <<-154*alpha^3 + 496*alpha^2 + 474*alpha - 889, 74*alpha^3 - 256*alpha^2 - 234*alpha + 455>, <-5, 3>, <-6*alpha^3 - 16*alpha^2 + 6*alpha + 21, -74*alpha^3 + 256*alpha^2 + 234*alpha - 455>, <1, 0>, <1, -3>, <0, 0>>>,
<[ 3, -3, -6, 0, 1 ], 10, <<alpha^3 - alpha^2 - 2*alpha + 2, 2*alpha^2 - 3*alpha - 9>, <-5, 3>, <alpha^3 - 6*alpha - 1, -2*alpha^3 - alpha^2 + 6*alpha>, <1, 0>, <0, 0>, <-3*alpha^3 - 2*alpha^2 + 6*alpha - 1, 2*alpha^3 + alpha^2 - 6*alpha>, <1, -3>, <-6*alpha^3 + 9*alpha^2 + 20*alpha - 7, 4*alpha^3 - 5*alpha^2 - 15*alpha + 3>, <alpha^3 + 3*alpha^2 - 8*alpha - 16, -2*alpha^2 + 3*alpha + 9>, <2*alpha^3 - alpha^2 - 10*alpha - 1, -4*alpha^3 + 5*alpha^2 + 15*alpha - 3>>>,
<[ 4, 3, -5, -1, 1 ], 6, <<-54*alpha^3 - 72*alpha^2 + 111*alpha + 103, 24*alpha^3 + 42*alpha^2 - 51*alpha - 57>, <-5, 3>, <1, 0>, <1, -3>, <-6*alpha^3 + 12*alpha^2 + 9*alpha - 11, -24*alpha^3 - 42*alpha^2 + 51*alpha + 57>, <0, 0>>>,
<[ 2, 0, -5, 0, 1 ], 6, <<-5, 3>, <-45*alpha^3 - 30*alpha^2 + 204*alpha + 136, 45*alpha^3 - 204*alpha>, <1, -3>, <1, 0>, <0, 0>, <45*alpha^3 - 30*alpha^2 - 204*alpha + 136, -45*alpha^3 + 204*alpha>>>,
<[ -1, -2, 1, 0, -2, 1 ], 6, <<213*alpha^4 - 534*alpha^3 + 255*alpha^2 + 120*alpha - 485, -283629*alpha^4 + 803142*alpha^3 - 667935*alpha^2 + 271860*alpha + 341115>, <-5, 3>, <-567045*alpha^4 + 1605750*alpha^3 - 1335615*alpha^2 + 543840*alpha + 681745, 283629*alpha^4 - 803142*alpha^3 + 667935*alpha^2 - 271860*alpha - 341115>, <1, 0>, <1, -3>, <0, 0>>>
>;