1zmw(1) User Commands zmw(1)
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6 zmw - make word from a set of matrices
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9 zmw [OPTIONS] <No> <Gen1> <Gen2> [<Word> [<Nsp>]]
10 zmw [OPTIONS] -g <NGen> <No> <Gen> [<Word> [<Nsp>]]
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13 Zmw calculates an element of the algebra generated by a set of matri‐
14 ces. The word must be specified by its "word number".
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16 The first form of the zmw command assumes that there are two genera‐
17 tors, and the generators must be given as two files names. The second
18 form uses the -g option to specify the number of generators. In this
19 case, a base name is given on the command line, and the generator file
20 names are constructed by appending ".1", ".2", ... to the base name.
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22 The word is written to Word, if present. If Nsp is present, the kernel
23 of the word is calculated and written to this file.
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25 No may be a single number, or a range of numbers in the form "a-b". In
26 this case the nullities of all words are calculated and printed, but no
27 output file is written, even if Word and Nsp are present.
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29 Zmw can insert the words into a polynomial before calculating the null-
30 space. To use this feature, the polynomial must be appended to the
31 word number, separated by a "/". After the "/", all coefficients,
32 including zeroes, of the polynomial must be specified as a comma-sepa‐
33 rated list. For example,
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35 zmw 103/1,1,0,-1 gen1 gen2
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37 calculates word number 103, and inserts the result into the polynomial
38 x^3+x^2-1.
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41 -Q Quiet, no messages.
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43 -V Verbose, more messages.
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45 -T <MaxTime>
46 Set CPU time limit
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48 -G Produce output in GAP format.
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50 -g <NGen>
51 Set the number of generators.
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54 Gen.{1,2,...}
55 Generators (with -g).
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57 Gen1, Gen2
58 Generators (without -g).
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61 Word The word.
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63 Nsp The null-space of Word.
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67MeatAxe 2.4.24 zmw(1)