CARAT Introduction / Programs / Elt

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## Program Elt

### Usage

    Elt 'file' [-t]

file: matrix_TYP containing a set of matrices

### Description

Calculates the Smith normal form of the matrices given in file, resp. the isomorphism type of the factor group of two lattices, where the matrix is interpreted as the coordinate columns of a generating set of the second lattice in terms of a basis of the first one.

### Remarks

CAUTION: If the given matrix is rational, the Smith normal form is calculated for the least integral multiple of it.

### Examples

1. Find the stabilizer of a sublattice in the Bravais group of the unit form F=I6.

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