-- -*- M2-comint -*- {* hash: 1156747638 *}

i1 : S = QQ[a..d, Degrees => {{2,-1},{1,0},{0,1},{-1,2}}];

i2 : heft S

o2 = {1, 1}

o2 : List

i3 : multidegree ideal (b^2,b*c,c^2)

o3 = 3T T
       0 1

o3 : ZZ[T , T ]
         0   1

i4 : multidegree ideal a

o4 = 2T  - T
       0    1

o4 : ZZ[T , T ]
         0   1

i5 : multidegree ideal (a^2,a*b,b^2)

       2
o5 = 6T  - 3T T
       0     0 1

o5 : ZZ[T , T ]
         0   1

i6 : describe ring oo

o6 = ZZ[T , T , Degrees => {2:1}, MonomialOrder => {MonomialSize => 32}, DegreeRank => 1, Inverses => true, Global => false]
         0   1                                     {Weights => {2:-1} }
                                                   {GroupLex => 2     }
                                                   {Position => Up    }

i7 :