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Genus Dimension of the family Group order Hyperelliptic curves Full automorphism group
Quotient genus Signature Group identifier Cyclic trigonal curves
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Results (20 matches)

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Refined passport label Genus Group Group order Dimension Signature Generating vectors
12.30-4.0.6-15-30.1 $12$ $C_{30}$ $30$ $0$ $[ 0; 6, 15, 30 ]$ $(1,21,11,16,6,26)\cdots(5,25,15,20,10,30),\ldots$
12.30-4.0.6-15-30.2 $12$ $C_{30}$ $30$ $0$ $[ 0; 6, 15, 30 ]$ $(1,21,11,16,6,26)\cdots(5,25,15,20,10,30),\ldots$
12.30-4.0.6-15-30.3 $12$ $C_{30}$ $30$ $0$ $[ 0; 6, 15, 30 ]$ $(1,21,11,16,6,26)\cdots(5,25,15,20,10,30),\ldots$
12.30-4.0.6-15-30.4 $12$ $C_{30}$ $30$ $0$ $[ 0; 6, 15, 30 ]$ $(1,21,11,16,6,26)\cdots(5,25,15,20,10,30),\ldots$
12.30-4.0.6-15-30.5 $12$ $C_{30}$ $30$ $0$ $[ 0; 6, 15, 30 ]$ $(1,26,6,16,11,21)\cdots(5,30,10,20,15,25),\ldots$
12.30-4.0.6-15-30.6 $12$ $C_{30}$ $30$ $0$ $[ 0; 6, 15, 30 ]$ $(1,26,6,16,11,21)\cdots(5,30,10,20,15,25),\ldots$
12.30-4.0.6-15-30.7 $12$ $C_{30}$ $30$ $0$ $[ 0; 6, 15, 30 ]$ $(1,26,6,16,11,21)\cdots(5,30,10,20,15,25),\ldots$
12.30-4.0.6-15-30.8 $12$ $C_{30}$ $30$ $0$ $[ 0; 6, 15, 30 ]$ $(1,26,6,16,11,21)\cdots(5,30,10,20,15,25),\ldots$
12.30-4.0.5-30-30.1 $12$ $C_{30}$ $30$ $0$ $[ 0; 5, 30, 30 ]$ $(1,2,3,4,5)\cdots(26,27,28,29,30),\ldots$
12.30-4.0.5-30-30.3 $12$ $C_{30}$ $30$ $0$ $[ 0; 5, 30, 30 ]$ $(1,2,3,4,5)\cdots(26,27,28,29,30),\ldots$
12.30-4.0.5-30-30.4 $12$ $C_{30}$ $30$ $0$ $[ 0; 5, 30, 30 ]$ $(1,3,5,2,4)\cdots(26,28,30,27,29),\ldots$
12.30-4.0.5-30-30.5 $12$ $C_{30}$ $30$ $0$ $[ 0; 5, 30, 30 ]$ $(1,3,5,2,4)\cdots(26,28,30,27,29),\ldots$
12.30-4.0.5-30-30.8 $12$ $C_{30}$ $30$ $0$ $[ 0; 5, 30, 30 ]$ $(1,4,2,5,3)\cdots(26,29,27,30,28),\ldots$
12.30-4.0.5-30-30.9 $12$ $C_{30}$ $30$ $0$ $[ 0; 5, 30, 30 ]$ $(1,4,2,5,3)\cdots(26,29,27,30,28),\ldots$
12.30-4.0.5-30-30.10 $12$ $C_{30}$ $30$ $0$ $[ 0; 5, 30, 30 ]$ $(1,5,4,3,2)\cdots(26,30,29,28,27),\ldots$
12.30-4.0.5-30-30.12 $12$ $C_{30}$ $30$ $0$ $[ 0; 5, 30, 30 ]$ $(1,5,4,3,2)\cdots(26,30,29,28,27),\ldots$
12.30-4.0.5-30-30.2 $12$ $C_{30}$ $30$ $0$ $[ 0; 5, 30, 30 ]$ $(1,2,3,4,5)\cdots(26,27,28,29,30),\ldots$
12.30-4.0.5-30-30.6 $12$ $C_{30}$ $30$ $0$ $[ 0; 5, 30, 30 ]$ $(1,3,5,2,4)\cdots(26,28,30,27,29),\ldots$
12.30-4.0.5-30-30.7 $12$ $C_{30}$ $30$ $0$ $[ 0; 5, 30, 30 ]$ $(1,4,2,5,3)\cdots(26,29,27,30,28),\ldots$
12.30-4.0.5-30-30.11 $12$ $C_{30}$ $30$ $0$ $[ 0; 5, 30, 30 ]$ $(1,5,4,3,2)\cdots(26,30,29,28,27),\ldots$
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