-- -*- M2-comint -*- {* hash: 1801344499 *} i1 : R = ZZ/101[a..d,Degrees=>{2:{1,0},2:{0,1}}]; i2 : I = ideal random(R^1, R^{2:{-2,-2},2:{-3,-3}}); o2 : Ideal of R i3 : t = betti res I 0 1 2 3 4 o3 = total: 1 4 13 14 4 0: 1 . . . . 1: . . . . . 2: . . . . . 3: . 2 . . . 4: . . . . . 5: . 2 . . . 6: . . 1 . . 7: . . 9 8 1 8: . . 2 4 2 9: . . 1 2 1 o3 : BettiTally i4 : peek t o4 = BettiTally{(0, {0, 0}, 0) => 1 } (1, {2, 2}, 4) => 2 (1, {3, 3}, 6) => 2 (2, {3, 7}, 10) => 2 (2, {4, 4}, 8) => 1 (2, {4, 5}, 9) => 4 (2, {5, 4}, 9) => 4 (2, {6, 3}, 9) => 1 (2, {8, 3}, 11) => 1 (3, {4, 7}, 11) => 4 (3, {5, 5}, 10) => 6 (3, {6, 4}, 10) => 2 (3, {8, 4}, 12) => 2 (4, {5, 7}, 12) => 2 (4, {6, 5}, 11) => 1 (4, {8, 5}, 13) => 1 i5 : betti(t,Weights=>{1,0}) 0 1 2 3 4 o5 = total: 1 4 13 14 4 0: 1 . . . . 1: . 2 2 4 2 2: . 2 5 6 1 3: . . 4 2 . 4: . . 1 . 1 5: . . . 2 . 6: . . 1 . . o5 : BettiTally i6 : betti(t,Weights=>{0,1}) 0 1 2 3 4 o6 = total: 1 4 13 14 4 0: 1 . . . . 1: . 2 2 4 2 2: . 2 5 6 . 3: . . 4 . 2 4: . . . 4 . 5: . . 2 . . o6 : BettiTally i7 : t1 = betti(t,Weights=>{1,1}) 0 1 2 3 4 o7 = total: 1 4 13 14 4 0: 1 . . . . 1: . . . . . 2: . . . . . 3: . 2 . . . 4: . . . . . 5: . 2 . . . 6: . . 1 . . 7: . . 9 8 1 8: . . 2 4 2 9: . . 1 2 1 o7 : BettiTally i8 : peek t1 o8 = BettiTally{(0, {0, 0}, 0) => 1 } (1, {2, 2}, 4) => 2 (1, {3, 3}, 6) => 2 (2, {3, 7}, 10) => 2 (2, {4, 4}, 8) => 1 (2, {4, 5}, 9) => 4 (2, {5, 4}, 9) => 4 (2, {6, 3}, 9) => 1 (2, {8, 3}, 11) => 1 (3, {4, 7}, 11) => 4 (3, {5, 5}, 10) => 6 (3, {6, 4}, 10) => 2 (3, {8, 4}, 12) => 2 (4, {5, 7}, 12) => 2 (4, {6, 5}, 11) => 1 (4, {8, 5}, 13) => 1 i9 :