i1 : R = ZZ/101[x, Degrees => {2}]/ideal(x^2); |
i2 : s = hilbertSeries R 4 1 - T o2 = -------- 2 (1 - T ) o2 : Expression of class Divide |
i3 : numerator s 4 o3 = 1 - T o3 : ZZ [T, MonomialOrder => RevLex, Inverses => true] |
i4 : poincare R 4 o4 = 1 - T o4 : ZZ [T, MonomialOrder => RevLex, Inverses => true] |
i5 : R=ZZ/101[x, Degrees => {{1,1}}]/ideal(x^2); |
i6 : s = hilbertSeries R 2 2 1 - T T 0 1 o6 = ---------- (1 - T T ) 0 1 o6 : Expression of class Divide |
i7 : numerator s 2 2 o7 = 1 - T T 0 1 o7 : ZZ [T , T , MonomialOrder => RevLex, Inverses => true] 0 1 |
i8 : poincare R 2 2 o8 = 1 - T T 0 1 o8 : ZZ [T , T , MonomialOrder => RevLex, Inverses => true] 0 1 |