highestDegrees(BettiTally) -- list of highest degree shifts

Synopsis

• Function: highestDegrees

• Usage:

  highestDegrees B

• Inputs:
  • B, a Betti tally
• Outputs:
  • a list, of highest degree shifts occurring in B

Description

i1 : R = ZZ/101[a..e];

i2 : B = betti res ideal"ab,ac,bd,be,ae,cd,ce,a3,b3,c3,d3,e3"

            0  1  2  3  4 5
o2 = total: 1 12 29 30 15 3
         0: 1  .  .  .  . .
         1: .  7 11  6  1 .
         2: .  5 14 13  4 .
         3: .  .  1  2  1 .
         4: .  .  3  9  9 3

o2 : BettiTally

i3 : highestDegrees B

o3 = {0, 3, 6, 7, 8, 9}

o3 : List

i4 : lowestDegrees B

o4 = {0, 2, 3, 4, 5, 9}

o4 : List

See also

• lowestDegrees -- list of lowest degree shifts
• isPure -- is a Betti diagram pure?