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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)
 -- .0119443s elapsed
 -- .0356991s elapsed
 -- .000274165s elapsed
 -- .000221005s elapsed
 -- .000189255s elapsed
 -- .000178275s elapsed
 -- .000186109s elapsed
 -- .000189827s elapsed
 -- .000194957s elapsed
 -- .000212729s elapsed
 -- .000181261s elapsed
 -- .00019207s elapsed
 -- .000276289s elapsed
 -- .000246492s elapsed
 -- .000239339s elapsed
 -- .00023936s elapsed
 -- .00025592s elapsed
 -- .000187843s elapsed
 -- .000184697s elapsed
 -- .000177743s elapsed
 -- .000192882s elapsed
 -- .000195336s elapsed
 -- .0001971s elapsed
 -- .000197721s elapsed
 -- .000178866s elapsed
 -- .000181771s elapsed
 -- .000180499s elapsed
 -- .00143132s elapsed
(number Of blocks, 26)
1
1
1
1
2
 2
2
 2
2
 2
2 3
 2
2 3
 2
2 3
 2
2
 2
2
2
2
 2
2
 2
2
 2
2 3
 2
2 3
 2
2 3
 2
2
 2
2
2
1
1
1
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.