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Note: Search results may be incomplete due to uncomputed quantities: cyclic_trigonal (6913 objects)

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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 (14 matches)

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Refined passport label Genus Group Group order Dimension Signature Generating vectors
3.3-1.0.3-3-3-3-3.2 $3$ $C_3$ $3$ $2$ $[ 0; 3, 3, 3, 3, 3 ]$ $(1,2,3),\ldots$
3.3-1.0.3-3-3-3-3.1 $3$ $C_3$ $3$ $2$ $[ 0; 3, 3, 3, 3, 3 ]$ $(1,2,3),\ldots$
3.6-2.0.2-3-3-6.1 $3$ $C_6$ $6$ $1$ $[ 0; 2, 3, 3, 6 ]$ $(1,4)(2,5)(3,6),\ldots$
3.6-2.0.2-3-3-6.2 $3$ $C_6$ $6$ $1$ $[ 0; 2, 3, 3, 6 ]$ $(1,4)(2,5)(3,6),\ldots$
3.9-1.0.3-9-9.4 $3$ $C_9$ $9$ $0$ $[ 0; 3, 9, 9 ]$ $(1,3,2)(4,6,5)(7,9,8),\ldots$
3.9-1.0.3-9-9.5 $3$ $C_9$ $9$ $0$ $[ 0; 3, 9, 9 ]$ $(1,3,2)(4,6,5)(7,9,8),\ldots$
3.9-1.0.3-9-9.6 $3$ $C_9$ $9$ $0$ $[ 0; 3, 9, 9 ]$ $(1,3,2)(4,6,5)(7,9,8),\ldots$
3.9-1.0.3-9-9.1 $3$ $C_9$ $9$ $0$ $[ 0; 3, 9, 9 ]$ $(1,2,3)(4,5,6)(7,8,9),\ldots$
3.9-1.0.3-9-9.3 $3$ $C_9$ $9$ $0$ $[ 0; 3, 9, 9 ]$ $(1,2,3)(4,5,6)(7,8,9),\ldots$
3.9-1.0.3-9-9.2 $3$ $C_9$ $9$ $0$ $[ 0; 3, 9, 9 ]$ $(1,2,3)(4,5,6)(7,8,9),\ldots$
3.48-33.0.2-3-12.3 $3$ $\SL(2,3):C_2$ $48$ $0$ $[ 0; 2, 3, 12 ]$ $(1,27)\cdots(24,45),\ldots$
3.48-33.0.2-3-12.2 $3$ $\SL(2,3):C_2$ $48$ $0$ $[ 0; 2, 3, 12 ]$ $(1,27)\cdots(24,45),\ldots$
3.48-33.0.2-3-12.1 $3$ $\SL(2,3):C_2$ $48$ $0$ $[ 0; 2, 3, 12 ]$ $(1,27)\cdots(24,45),\ldots$
3.48-33.0.2-3-12.4 $3$ $\SL(2,3):C_2$ $48$ $0$ $[ 0; 2, 3, 12 ]$ $(1,27)\cdots(24,45),\ldots$
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