 >>> this is GOLIATH, version 2.09, April 11, 1990 (insert machine name) version 


 enter size of workspace (up to      150000)

 enter input file type:  
     0 = integer 
     1 = rational
     2 = arbitrary precision rational

 enter input file name:  

 enter desired computation:
     0 = rank, dependencies
     1 = rank and rhs solutions
     2 = rank and null space basis
     3 = rank, rhs and null space basis
     4 = rational ----> integer conversion

 enter output file name (enter 0 for no hardcopy):

 enter the mp output style:
     0 = no spaces between terms
     1 = one space between terms

 enter termination criterion:
    -2 = modified hadamard bound
    -1 = convergence criterion
     0 = hadamard bound
     n = specific pass count

 enter intermediate output parameter:
     0 = none 
     1 = terminal progress report
     2 = reduction stage info, pass one only
     3 = all matrix, pass one only
     4 = all info - all passes ***caution***


 input matrix dimensions are     4     3
 number of right hand sides =      1
 number of nonzero entries is:        13

 pass #1:



 pass #1 successful:
    computed pass bounds -  hadamard:     11

 pass #1 computed the following    2 dependent rows 
          3     4
 
 completed pass number     2.  time:       0.0300
 completed pass number     3.  time:       0.0500
 completed pass number     4.  time:       0.0600
 completed pass number     5.  time:       0.0700
 completed pass number     6.  time:       0.0800
 completed pass number     7.  time:       0.0900
 completed pass number     8.  time:       0.1000
 completed pass number     9.  time:       0.1100
 completed pass number    10.  time:       0.1200
 completed pass number    11.  time:       0.1300


 processing the particular solutions:

 completed solution:    1.  time:       0.1500


 processing the null space basis, dimension =      1
 completed element:    1.  time:       0.1500
  TOTAL TIME =   0.2000000    
