Note that the union of all bases over all n extends to a universal basis
v(15,1), v(15,13)
The rank (number of elements in basis) is 2
v(15,1) | v(15,13) | |
v(15,2) | 1 | |
v(15,4) | -1 | |
v(15,7) | -1 | |
v(15,8) | -1 | |
v(15,11) | -1 | |
v(15,14) | 1 |
Note that equality is modulo multiplication by an n^{th} unit root and modulo d^{th} cyclotomic units where d is a proper divisor of n.
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)
4: v(15,4) - method Z-5 (Case V,iv - A12)
7: v(15,7) - method S (Case V,ii - A12 for p=5)
8: v(15,8) - method Z-3 (Case V,iv - A12)
11: v(15,11) - method Z-3 (Case V,iv - A12)
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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© by: Marc Conrad, 2016. If you want me
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