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Refined passport label Genus Group Group order Dimension Signature Generating vectors
3.24-12.0.3-4-4.1 $3$ $S_4$ $24$ $0$ $[ 0; 3, 4, 4 ]$ $(1,5,9)\cdots(16,19,22),\ldots$
3.24-12.0.2-2-2-3.1 $3$ $S_4$ $24$ $1$ $[ 0; 2, 2, 2, 3 ]$ $(1,2)\cdots(23,24),\ldots$
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