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AlffOrderBasisValues
Returns some values depending on the B^*-values of the
basis of an order of a global function field.
Syntax:
L := AlffOrderBasisValues(o);
list |
L |
|
global function field order |
o |
|
See also: Alff, AlffOrderL0, AlffOrderReduce
Description:
Denote by n the FF_q[T]-rank of the order
o and by b_1, … ,b_n\in o its basis. Then the function
returns
L:=[[eB^*(b_1), … ,eB^*(b_n)],\max_{i=1}^n B^*(b_i),
\sum_{i=1}^n B^*(b_i),e].
The infinite place of k(T) has to be tamely ramified in F.
See AlffEltBstar() for the definition of B^*, e and
Scho1 for further definitions and algorithms.
Example:
kash> AlffInit(FF(5,2));
"Defining global variables: k, w, kT, kTf, kTy, T, y, AlffGlobals"
kash> AlffOrders(y^3+T^4+1);
"Defining global variables: F, o, oi, one"
kash> AlffOrderBasisValues(o);
> [ [ 0, 4, 8 ], 8, 12, 3 ]
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