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carpetDet -- compute the determinant of the crucial constant strand of a carpet X(a,b)

Description

We compute nonminimal resolution F of the carpet of type (a,b) over a finite prime field, Lift this to a resolution over ZZ, introduce the fine grading, grep the various blocks of the crucial map in the a-th strand, compute their determinants and return their product.

i1 : a=4,b=4

o1 = (4, 4)

o1 : Sequence
 
i2 : d=carpetDet(a,b)
 -- .00518161s elapsed
 -- .00766116s elapsed
(number Of blocks, 26)
 -- .000168791s elapsed
1
 -- .00009083s elapsed
1
 -- .00009411s elapsed
1
 -- .00008492s elapsed
1
 -- .00008701s elapsed
2
 -- .000094771s elapsed
 2
2
 -- .00009776s elapsed
 2
2
 -- .000097521s elapsed
 2
2 3
 -- .00009303s elapsed
 2
2 3
 -- .00009673s elapsed
 2
2 3
 -- .00009557s elapsed
 2
2
 -- .00010042s elapsed
 2
2
 -- .00010294s elapsed
2
 -- .000098421s elapsed
2
 -- .00008936s elapsed
 2
2
 -- .000100671s elapsed
 2
2
 -- .000101141s elapsed
 2
2 3
 -- .00008942s elapsed
 2
2 3
 -- .000102121s elapsed
 2
2 3
 -- .000094561s elapsed
 2
2
 -- .00008829s elapsed
 2
2
 -- .00008667s elapsed
2
 -- .00008361s elapsed
1
 -- .0000859s elapsed
1
 -- .00009096s elapsed
1
 -- .00008986s elapsed
1

o2 = 3131031158784
 
i3 : factor d

      32 6
o3 = 2  3

o3 : Expression of class Product

See also

Ways to use carpetDet:

  • carpetDet(ZZ,ZZ)

For the programmer

The object carpetDet is a method function.

The source of this document is in K3Carpets.m2:1335:0.