365 lines
13 KiB
Plaintext
365 lines
13 KiB
Plaintext
;;;
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;;; [[ Loading the initialization file.
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;;; [[ Do not forget the extension ".cl" not guessed by LispWorks.
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;;;
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CL-USER 1 > (load "cat-init.cl")
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; Loading text file C:\Docume~1\Francis\AA\Kenzo\Kenzo-1.1-LispWorks\cat-init.cl
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FILE 1: macros
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FILE 2: various
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FILE 3: classes
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FILE 4: combinations
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FILE 5: chain-complexes
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FILE 6: chcm-elementary-op
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FILE 7: effective-homology
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FILE 8: homology-groups
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FILE 9: searching-homology
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FILE 10: cones
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FILE 11: tensor-products
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FILE 12: coalgebras
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FILE 13: cobar
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FILE 14: algebras
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FILE 15: bar
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FILE 16: simplicial-sets
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FILE 17: simplicial-mrphs
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FILE 18: delta
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FILE 19: special-smsts
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FILE 20: suspensions
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FILE 21: disk-pasting
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FILE 22: cartesian-products
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FILE 23: eilenberg-zilber
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FILE 24: kan
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FILE 25: simplicial-groups
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FILE 26: fibrations
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FILE 27: loop-spaces
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FILE 28: ls-twisted-products
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FILE 29: lp-space-efhm
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FILE 30: classifying-spaces
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FILE 31: k-pi-n
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FILE 32: serre
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FILE 33: cs-twisted-products
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FILE 34: cl-space-efhm
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FILE 35: whitehead
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FILE 36: smith
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#P"C:/Docume~1/Francis/AA/Kenzo/Kenzo-1.1-LispWorks/cat-init.cl"
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CL-USER 2 > (load-cfiles)
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; Loading fasl file C:\Docume~1\Francis\AA\Kenzo\Kenzo-1.1-LispWorks\macros.ofasl
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; Loading fasl file C:\Docume~1\Francis\AA\Kenzo\Kenzo-1.1-LispWorks\various.ofasl
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; Loading fasl file C:\Docume~1\Francis\AA\Kenzo\Kenzo-1.1-LispWorks\classes.ofasl
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;;;
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;;; [[ Do not take account of these warnings.
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;;; [[ These classes are mutually recursive
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;;; [[ and redefinitions are necessary.
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;;;
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Warning: (DEFCLASS CHAIN-COMPLEX) defined more than once in C:\Docume~1\Francis\AA\Kenzo\Kenzo-1.1-LispWorks\classes.cl.
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Warning: (DEFCLASS MORPHISM) defined more than once in C:\Docume~1\Francis\AA\Kenzo\Kenzo-1.1-LispWorks\classes.cl.
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Warning: (DEFCLASS HOMOTOPY-EQUIVALENCE) defined more than once in C:\Docume~1\Francis\AA\Kenzo\Kenzo-1.1-LispWorks\classes.cl.
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;;;
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;;; [[ Defining (METHOD PRINT-OBJECT (LOOP T))
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;;; [[ is not at all an error.
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;;; [[ LispWorks complains for Loop being an identifier
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;;; [[ of the Common-Lisp Package and is afraid we damage the system!
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;;; [[ The loops here are the loops of Algebraic Topology
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;;; [[ not the iterated loops of standard programming !!!
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;;;
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Error: Defining (METHOD PRINT-OBJECT (LOOP T)) visible from packages COMMON-LISP, CLOS.
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1 (continue) Define it anyway.
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2 Discard the new method.
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3 Try loading classes.ofasl again.
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4 Give up loading classes.ofasl.
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5 Try loading another file instead of classes.ofasl.
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6 (abort) Return to level 0.
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7 Return to top loop level 0.
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Type :b for backtrace, :c <option number> to proceed, or :? for other options
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;;;
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;;; [[ To bypass this claimed "error", answer ":c 1".
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;;;
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CL-USER 3 : 1 > :c 1
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; Loading fasl file C:\Docume~1\Francis\AA\Kenzo\Kenzo-1.1-LispWorks\combinations.ofasl
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; Loading fasl file C:\Docume~1\Francis\AA\Kenzo\Kenzo-1.1-LispWorks\chain-complexes.ofasl
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; Loading fasl file C:\Docume~1\Francis\AA\Kenzo\Kenzo-1.1-LispWorks\chcm-elementary-op.ofasl
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; Loading fasl file C:\Docume~1\Francis\AA\Kenzo\Kenzo-1.1-LispWorks\effective-homology.ofasl
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; Loading fasl file C:\Docume~1\Francis\AA\Kenzo\Kenzo-1.1-LispWorks\homology-groups.ofasl
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; Loading fasl file C:\Docume~1\Francis\AA\Kenzo\Kenzo-1.1-LispWorks\searching-homology.ofasl
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; Loading fasl file C:\Docume~1\Francis\AA\Kenzo\Kenzo-1.1-LispWorks\cones.ofasl
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; Loading fasl file C:\Docume~1\Francis\AA\Kenzo\Kenzo-1.1-LispWorks\tensor-products.ofasl
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; Loading fasl file C:\Docume~1\Francis\AA\Kenzo\Kenzo-1.1-LispWorks\coalgebras.ofasl
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; Loading fasl file C:\Docume~1\Francis\AA\Kenzo\Kenzo-1.1-LispWorks\cobar.ofasl
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; Loading fasl file C:\Docume~1\Francis\AA\Kenzo\Kenzo-1.1-LispWorks\algebras.ofasl
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; Loading fasl file C:\Docume~1\Francis\AA\Kenzo\Kenzo-1.1-LispWorks\bar.ofasl
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; Loading fasl file C:\Docume~1\Francis\AA\Kenzo\Kenzo-1.1-LispWorks\simplicial-sets.ofasl
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; Loading fasl file C:\Docume~1\Francis\AA\Kenzo\Kenzo-1.1-LispWorks\simplicial-mrphs.ofasl
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; Loading fasl file C:\Docume~1\Francis\AA\Kenzo\Kenzo-1.1-LispWorks\delta.ofasl
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; Loading fasl file C:\Docume~1\Francis\AA\Kenzo\Kenzo-1.1-LispWorks\special-smsts.ofasl
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; Loading fasl file C:\Docume~1\Francis\AA\Kenzo\Kenzo-1.1-LispWorks\suspensions.ofasl
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; Loading fasl file C:\Docume~1\Francis\AA\Kenzo\Kenzo-1.1-LispWorks\disk-pasting.ofasl
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; Loading fasl file C:\Docume~1\Francis\AA\Kenzo\Kenzo-1.1-LispWorks\cartesian-products.ofasl
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; Loading fasl file C:\Docume~1\Francis\AA\Kenzo\Kenzo-1.1-LispWorks\eilenberg-zilber.ofasl
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; Loading fasl file C:\Docume~1\Francis\AA\Kenzo\Kenzo-1.1-LispWorks\kan.ofasl
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; Loading fasl file C:\Docume~1\Francis\AA\Kenzo\Kenzo-1.1-LispWorks\simplicial-groups.ofasl
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; Loading fasl file C:\Docume~1\Francis\AA\Kenzo\Kenzo-1.1-LispWorks\fibrations.ofasl
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; Loading fasl file C:\Docume~1\Francis\AA\Kenzo\Kenzo-1.1-LispWorks\loop-spaces.ofasl
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; Loading fasl file C:\Docume~1\Francis\AA\Kenzo\Kenzo-1.1-LispWorks\ls-twisted-products.ofasl
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; Loading fasl file C:\Docume~1\Francis\AA\Kenzo\Kenzo-1.1-LispWorks\lp-space-efhm.ofasl
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; Loading fasl file C:\Docume~1\Francis\AA\Kenzo\Kenzo-1.1-LispWorks\classifying-spaces.ofasl
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; Loading fasl file C:\Docume~1\Francis\AA\Kenzo\Kenzo-1.1-LispWorks\k-pi-n.ofasl
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; Loading fasl file C:\Docume~1\Francis\AA\Kenzo\Kenzo-1.1-LispWorks\serre.ofasl
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; Loading fasl file C:\Docume~1\Francis\AA\Kenzo\Kenzo-1.1-LispWorks\cs-twisted-products.ofasl
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; Loading fasl file C:\Docume~1\Francis\AA\Kenzo\Kenzo-1.1-LispWorks\cl-space-efhm.ofasl
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; Loading fasl file C:\Docume~1\Francis\AA\Kenzo\Kenzo-1.1-LispWorks\whitehead.ofasl
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; Loading fasl file C:\Docume~1\Francis\AA\Kenzo\Kenzo-1.1-LispWorks\smith.ofasl
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("macros" "various" "classes" "combinations" "chain-complexes" "chcm-elementary-op" "effective-homology" "homology-groups" "searching-homology" "cones" ...)
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;;;
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;;; [[ Now Kenzo is ready.
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;;; [[ For example the computing time
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;;; [[ for the homology group H_7(\Omega^2 S^3).
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;;;
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CL-USER 4 > (time (homology (loop-space (sphere 3) 2) 7))
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Timing the evaluation of (HOMOLOGY (LOOP-SPACE (SPHERE 3) 2) 7)
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Computing boundary-matrix in dimension 7.
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Rank of the source-module : 13.
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;; Clock -> 2007-02-05, 16h 4m 5s.
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Computing the boundary of the generator 1 (dimension 7) :
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<<AlLp[7 <<AlLp[2 S3][2 S3][2 S3][2 S3]>>]>>
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End of computing.
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;; Clock -> 2007-02-05, 16h 4m 8s.
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Computing the boundary of the generator 2 (dimension 7) :
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<<AlLp[1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>][5 <<AlLp[2 S3][2 S3][2 S3]>>]>>
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End of computing.
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;; Clock -> 2007-02-05, 16h 4m 8s.
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Computing the boundary of the generator 3 (dimension 7) :
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<<AlLp[1 <<AlLp[2 S3]>>][3 <<AlLp[2 S3][2 S3]>>][3 <<AlLp[2 S3][2 S3]>>]>>
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End of computing.
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;; Clock -> 2007-02-05, 16h 4m 8s.
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Computing the boundary of the generator 4 (dimension 7) :
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<<AlLp[1 <<AlLp[2 S3]>>][5 <<AlLp[2 S3][2 S3][2 S3]>>][1 <<AlLp[2 S3]>>]>>
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End of computing.
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;; Clock -> 2007-02-05, 16h 4m 8s.
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Computing the boundary of the generator 5 (dimension 7) :
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<<AlLp[3 <<AlLp[2 S3][2 S3]>>][1 <<AlLp[2 S3]>>][3 <<AlLp[2 S3][2 S3]>>]>>
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End of computing.
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;; Clock -> 2007-02-05, 16h 4m 8s.
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Computing the boundary of the generator 6 (dimension 7) :
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<<AlLp[3 <<AlLp[2 S3][2 S3]>>][3 <<AlLp[2 S3][2 S3]>>][1 <<AlLp[2 S3]>>]>>
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End of computing.
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;; Clock -> 2007-02-05, 16h 4m 8s.
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Computing the boundary of the generator 7 (dimension 7) :
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<<AlLp[5 <<AlLp[2 S3][2 S3][2 S3]>>][1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>]>>
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End of computing.
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;; Clock -> 2007-02-05, 16h 4m 8s.
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Computing the boundary of the generator 8 (dimension 7) :
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<<AlLp[1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>][3 <<AlLp[2 S3][2 S3]>>]>>
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End of computing.
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;; Clock -> 2007-02-05, 16h 4m 8s.
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Computing the boundary of the generator 9 (dimension 7) :
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<<AlLp[1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>][3 <<AlLp[2 S3][2 S3]>>][1 <<AlLp[2 S3]>>]>>
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End of computing.
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;; Clock -> 2007-02-05, 16h 4m 8s.
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Computing the boundary of the generator 10 (dimension 7) :
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<<AlLp[1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>][3 <<AlLp[2 S3][2 S3]>>][1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>]>>
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End of computing.
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;; Clock -> 2007-02-05, 16h 4m 8s.
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Computing the boundary of the generator 11 (dimension 7) :
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<<AlLp[1 <<AlLp[2 S3]>>][3 <<AlLp[2 S3][2 S3]>>][1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>]>>
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End of computing.
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;; Clock -> 2007-02-05, 16h 4m 8s.
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Computing the boundary of the generator 12 (dimension 7) :
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<<AlLp[3 <<AlLp[2 S3][2 S3]>>][1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>]>>
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End of computing.
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;; Clock -> 2007-02-05, 16h 4m 8s.
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Computing the boundary of the generator 13 (dimension 7) :
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<<AlLp[1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>]>>
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End of computing.
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Computing boundary-matrix in dimension 8.
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Rank of the source-module : 21.
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;; Clock -> 2007-02-05, 16h 4m 8s.
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Computing the boundary of the generator 1 (dimension 8) :
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<<AlLp[1 <<AlLp[2 S3]>>][7 <<AlLp[2 S3][2 S3][2 S3][2 S3]>>]>>
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End of computing.
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;; Clock -> 2007-02-05, 16h 4m 9s.
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Computing the boundary of the generator 2 (dimension 8) :
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<<AlLp[3 <<AlLp[2 S3][2 S3]>>][5 <<AlLp[2 S3][2 S3][2 S3]>>]>>
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End of computing.
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;; Clock -> 2007-02-05, 16h 4m 9s.
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Computing the boundary of the generator 3 (dimension 8) :
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<<AlLp[5 <<AlLp[2 S3][2 S3][2 S3]>>][3 <<AlLp[2 S3][2 S3]>>]>>
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End of computing.
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;; Clock -> 2007-02-05, 16h 4m 9s.
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Computing the boundary of the generator 4 (dimension 8) :
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<<AlLp[7 <<AlLp[2 S3][2 S3][2 S3][2 S3]>>][1 <<AlLp[2 S3]>>]>>
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End of computing.
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;; Clock -> 2007-02-05, 16h 4m 9s.
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Computing the boundary of the generator 5 (dimension 8) :
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<<AlLp[1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>][5 <<AlLp[2 S3][2 S3][2 S3]>>]>>
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End of computing.
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;; Clock -> 2007-02-05, 16h 4m 9s.
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Computing the boundary of the generator 6 (dimension 8) :
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<<AlLp[1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>][3 <<AlLp[2 S3][2 S3]>>][3 <<AlLp[2 S3][2 S3]>>]>>
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End of computing.
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;; Clock -> 2007-02-05, 16h 4m 10s.
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Computing the boundary of the generator 7 (dimension 8) :
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<<AlLp[1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>][5 <<AlLp[2 S3][2 S3][2 S3]>>][1 <<AlLp[2 S3]>>]>>
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End of computing.
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;; Clock -> 2007-02-05, 16h 4m 10s.
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Computing the boundary of the generator 8 (dimension 8) :
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<<AlLp[1 <<AlLp[2 S3]>>][3 <<AlLp[2 S3][2 S3]>>][1 <<AlLp[2 S3]>>][3 <<AlLp[2 S3][2 S3]>>]>>
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End of computing.
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;; Clock -> 2007-02-05, 16h 4m 10s.
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Computing the boundary of the generator 9 (dimension 8) :
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<<AlLp[1 <<AlLp[2 S3]>>][3 <<AlLp[2 S3][2 S3]>>][3 <<AlLp[2 S3][2 S3]>>][1 <<AlLp[2 S3]>>]>>
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End of computing.
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;; Clock -> 2007-02-05, 16h 4m 10s.
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Computing the boundary of the generator 10 (dimension 8) :
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<<AlLp[1 <<AlLp[2 S3]>>][5 <<AlLp[2 S3][2 S3][2 S3]>>][1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>]>>
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End of computing.
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;; Clock -> 2007-02-05, 16h 4m 10s.
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Computing the boundary of the generator 11 (dimension 8) :
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<<AlLp[3 <<AlLp[2 S3][2 S3]>>][1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>][3 <<AlLp[2 S3][2 S3]>>]>>
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End of computing.
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;; Clock -> 2007-02-05, 16h 4m 10s.
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Computing the boundary of the generator 12 (dimension 8) :
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<<AlLp[3 <<AlLp[2 S3][2 S3]>>][1 <<AlLp[2 S3]>>][3 <<AlLp[2 S3][2 S3]>>][1 <<AlLp[2 S3]>>]>>
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End of computing.
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;; Clock -> 2007-02-05, 16h 4m 10s.
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Computing the boundary of the generator 13 (dimension 8) :
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<<AlLp[3 <<AlLp[2 S3][2 S3]>>][3 <<AlLp[2 S3][2 S3]>>][1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>]>>
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End of computing.
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;; Clock -> 2007-02-05, 16h 4m 10s.
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Computing the boundary of the generator 14 (dimension 8) :
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<<AlLp[5 <<AlLp[2 S3][2 S3][2 S3]>>][1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>]>>
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End of computing.
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;; Clock -> 2007-02-05, 16h 4m 10s.
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Computing the boundary of the generator 15 (dimension 8) :
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<<AlLp[1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>][3 <<AlLp[2 S3][2 S3]>>]>>
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End of computing.
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;; Clock -> 2007-02-05, 16h 4m 11s.
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Computing the boundary of the generator 16 (dimension 8) :
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<<AlLp[1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>][3 <<AlLp[2 S3][2 S3]>>][1 <<AlLp[2 S3]>>]>>
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End of computing.
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;; Clock -> 2007-02-05, 16h 4m 11s.
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Computing the boundary of the generator 17 (dimension 8) :
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<<AlLp[1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>][3 <<AlLp[2 S3][2 S3]>>][1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>]>>
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End of computing.
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;; Clock -> 2007-02-05, 16h 4m 11s.
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Computing the boundary of the generator 18 (dimension 8) :
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<<AlLp[1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>][3 <<AlLp[2 S3][2 S3]>>][1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>]>>
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End of computing.
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;; Clock -> 2007-02-05, 16h 4m 11s.
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Computing the boundary of the generator 19 (dimension 8) :
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<<AlLp[1 <<AlLp[2 S3]>>][3 <<AlLp[2 S3][2 S3]>>][1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>]>>
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End of computing.
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;; Clock -> 2007-02-05, 16h 4m 11s.
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Computing the boundary of the generator 20 (dimension 8) :
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<<AlLp[3 <<AlLp[2 S3][2 S3]>>][1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>]>>
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End of computing.
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;; Clock -> 2007-02-05, 16h 4m 11s.
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Computing the boundary of the generator 21 (dimension 8) :
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<<AlLp[1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>][1 <<AlLp[2 S3]>>]>>
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End of computing.
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Homology in dimension 7 :
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Component Z/2Z
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Component Z/2Z
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---done---
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;; Clock -> 2007-02-05, 16h 4m 11s.
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User time = 6.088
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System time = 0.050
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Elapsed time = 6.139
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Allocation = 123378148 bytes
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0 Page faults
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NIL
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CL-USER 5 > (exit) |