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K3Carpets :: carpetDet

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

Synopsis

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)
     -- 0.00778079 seconds elapsed
     -- 0.0244298 seconds elapsed
(number Of blocks, 26)
     -- 0.000200862 seconds elapsed
1
     -- 0.000174642 seconds elapsed
1
     -- 0.000155349 seconds elapsed
1
     -- 0.000150981 seconds elapsed
1
     -- 0.000150301 seconds elapsed
2
     -- 0.00016417 seconds elapsed
 2
2
     -- 0.000205555 seconds elapsed
 2
2
     -- 0.000212357 seconds elapsed
 2
2 3
     -- 0.000177616 seconds elapsed
 2
2 3
     -- 0.000168427 seconds elapsed
 2
2 3
     -- 0.000163863 seconds elapsed
 2
2
     -- 0.000173015 seconds elapsed
 2
2
     -- 0.000148607 seconds elapsed
2
     -- 0.000156892 seconds elapsed
2
     -- 0.00015998 seconds elapsed
 2
2
     -- 0.000157047 seconds elapsed
 2
2
     -- 0.000178871 seconds elapsed
 2
2 3
     -- 0.000179257 seconds elapsed
 2
2 3
     -- 0.00020284 seconds elapsed
 2
2 3
     -- 0.000183925 seconds elapsed
 2
2
     -- 0.000169085 seconds elapsed
 2
2
     -- 0.000156146 seconds elapsed
2
     -- 0.000155484 seconds elapsed
1
     -- 0.000160078 seconds elapsed
1
     -- 0.000160656 seconds elapsed
1
     -- 0.000149899 seconds elapsed
1

o2 = 3131031158784
i3 : factor d

      32 6
o3 = 2  3

o3 : Expression of class Product

See also

Ways to use carpetDet :