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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)
 -- .00892584s elapsed
 -- .0155102s elapsed
(number Of blocks, 26)
 -- .000292411s elapsed
1
 -- .00020589s elapsed
1
 -- .000195394s elapsed
1
 -- .000180322s elapsed
1
 -- .000177158s elapsed
2
 -- .000186241s elapsed
 2
2
 -- .000189787s elapsed
 2
2
 -- .000194804s elapsed
 2
2 3
 -- .000189376s elapsed
 2
2 3
 -- .000174283s elapsed
 2
2 3
 -- .000166701s elapsed
 2
2
 -- .00017926s elapsed
 2
2
 -- .000161804s elapsed
2
 -- .000178169s elapsed
2
 -- .000165079s elapsed
 2
2
 -- .000158469s elapsed
 2
2
 -- .000171819s elapsed
 2
2 3
 -- .00017884s elapsed
 2
2 3
 -- .000181665s elapsed
 2
2 3
 -- .000171188s elapsed
 2
2
 -- .000168274s elapsed
 2
2
 -- .000160422s elapsed
2
 -- .000201013s elapsed
1
 -- .000159701s elapsed
1
 -- .000158089s elapsed
1
 -- .000151168s 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 /__w/M2/M2/macaulay2-1.26.06+ds/M2/Macaulay2/packages/K3Carpets.m2:1335:0.