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FormCycle ​

The cycle of reduced forms containing a QuadraticForm — the class it lies in, listed. Its length is always even.

FormCycle(form)the class, listed
Typed signatures
TypePackageApplies
(expression<QuadraticForm>) -> list<expression<QuadraticForm>>modularalways

Domain: The modular group

Examples

Basic #

The cycle has even length

live ↗
InFormCycle(QuadraticForm(1,1,−1))\mathrm{FormCycle}(\mathrm{QuadraticForm}(1, 1, -1))Out[QuadraticForm(1,1,−1),QuadraticForm(−1,1,1)]\bigl\lbrack\mathrm{QuadraticForm}(1, 1, -1), \mathrm{QuadraticForm}(-1, 1, 1)\bigr\rbrack
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Examples1

See also: FormClassNumber, FormRho