The function loads the equation of the image of a rational map
whose fibers are Gm-orbits.
i1 : H = precomputedModelInP3xP5(QQ); 1 1 o1 : Matrix (QQ[w , w , w , w , z , z , z , z , z , z ]) <--- (QQ[w , w , w , w , z , z , z , z , z , z ]) 0 1 2 3 0 1 2 3 4 5 0 1 2 3 0 1 2 3 4 5 |
i2 : degrees ring H o2 = {{1, 0}, {1, 0}, {1, 0}, {1, 0}, {0, 1}, {0, 1}, {0, 1}, {0, 1}, {0, 1}, ------------------------------------------------------------------------ {0, 1}} o2 : List |
i3 : sum degrees ring H == flatten degrees source H o3 = true |
i4 : betti H 0 1 o4 = total: 1 1 0: 1 . 1: . . 2: . . 3: . . 4: . . 5: . . 6: . . 7: . . 8: . . 9: . 1 o4 : BettiTally |
i5 : tH=terms H_(0,0); |
i6 : #tH o6 = 128 |
i7 : lcmTH=lcm tH 3 2 4 2 3 3 3 3 3 3 o7 = 13209037701120w w w w z z z z z z 0 1 2 3 0 1 2 3 4 5 o7 : QQ[w , w , w , w , z , z , z , z , z , z ] 0 1 2 3 0 1 2 3 4 5 |
i8 : factor sub((coefficients lcmTH)_1_(0,0),ZZ) 27 9 o8 = 2 3 5 o8 : Expression of class Product |