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Given a quaternary quadratic equation of form $$Q(a,b,c,d)=m$$ in $\Bbb Z[a,b,c,d]$ with coefficient sizes and $|m|$ bounded in magnitude by $B\in\Bbb N$ where $m\neq0$ if we are looking for solutions ...

Are there any effective methods to decide whether or not two positive definite ternary quadratic forms are in the same spinor genus? For example, the following three forms are in the same genus <...