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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)
     -- 0.0641168 seconds elapsed
     -- 0.0265307 seconds elapsed
(number Of blocks, 26)
     -- 0.000307322 seconds elapsed
1
     -- 0.000262223 seconds elapsed
1
     -- 0.000254872 seconds elapsed
1
     -- 0.000216773 seconds elapsed
1
     -- 0.000206948 seconds elapsed
2
     -- 0.000212399 seconds elapsed
 2
2
     -- 0.000266747 seconds elapsed
 2
2
     -- 0.000277398 seconds elapsed
 2
2 3
     -- 0.000233248 seconds elapsed
 2
2 3
     -- 0.000225948 seconds elapsed
 2
2 3
     -- 0.000214098 seconds elapsed
 2
2
     -- 0.000219948 seconds elapsed
 2
2
     -- 0.000202948 seconds elapsed
2
     -- 0.000228973 seconds elapsed
2
     -- 0.000226173 seconds elapsed
 2
2
     -- 0.000207473 seconds elapsed
 2
2
     -- 0.000238823 seconds elapsed
 2
2 3
     -- 0.000237772 seconds elapsed
 2
2 3
     -- 0.000260347 seconds elapsed
 2
2 3
     -- 0.000258172 seconds elapsed
 2
2
     -- 0.000247822 seconds elapsed
 2
2
     -- 0.000225798 seconds elapsed
2
     -- 0.000218248 seconds elapsed
1
     -- 0.000241973 seconds elapsed
1
     -- 0.000245223 seconds elapsed
1
     -- 0.000227523 seconds elapsed
1

o2 = 3131031158784
i3 : factor d

      32 6
o3 = 2  3

o3 : Expression of class Product

See also

Ways to use carpetDet :