Note that this basis extends to a universal basis, i.e the basis for d is a subset of the basis for n iff d|n.
v(15,1), v(5,2), v(15,13)
The rank (number of elements in basis) is 3
v(15,1) | v(5,2) | v(15,13) | |
v(15,2) | 1 | ||
v(5,1) | |||
v(15,4) | -1 | -1 | |
v(3,1) | |||
v(15,7) | 1 | -1 | |
v(15,8) | 1 | -1 | |
v(5,3) | 1 | ||
v(3,2) | |||
v(15,11) | -1 | -1 | |
v(5,4) | |||
v(15,14) | 1 |
Note that equality is modulo multiplication by an n^{th} unit root.
1: v(15,1) is in basisCompare with Algorithm 1.2 and 2.2
1: v(15,1) - method B (Case V,i - A12)
2: v(15,2) - method Z-3 (Case V,iv - A12)
3: v(5,1) - method T (Case III, A22)
4: v(15,4) - method Z-5 (Case V,iv - A12)
5: v(3,1) - method T (Case III, A22)
6: v(5,2) - method B (Case III, A22)
7: v(15,7) - method S (Case V,ii - A12 for p=5)
8: v(15,8) - method Z-3 (Case V,iv - A12)
9: v(5,3) - method S (Case III, A22)
10: v(3,2) - method S (Case III, A22)
11: v(15,11) - method Z-3 (Case V,iv - A12)
12: v(5,4) - method S (Case III, A22)
13: v(15,13) - method B (Case V,iii - A12)
14: v(15,14) - method Z-3 (Case V,iv - A12)
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