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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 (40 matches)

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Refined passport label Genus Group Group order Dimension Signature Generating vectors
8.3-1.0.3-3-3-3-3-3-3-3-3-3.2 $8$ $C_3$ $3$ $7$ $[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$ $(1,2,3),\ldots$
8.3-1.0.3-3-3-3-3-3-3-3-3-3.1 $8$ $C_3$ $3$ $7$ $[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$ $(1,2,3),\ldots$
8.3-1.0.3-3-3-3-3-3-3-3-3-3.3 $8$ $C_3$ $3$ $7$ $[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$ $(1,2,3),\ldots$
8.6-2.0.3-3-3-3-6-6.4 $8$ $C_6$ $6$ $3$ $[ 0; 3, 3, 3, 3, 6, 6 ]$ $(1,2,3)(4,5,6),\ldots$
8.6-2.0.3-3-3-3-6-6.5 $8$ $C_6$ $6$ $3$ $[ 0; 3, 3, 3, 3, 6, 6 ]$ $(1,3,2)(4,6,5),\ldots$
8.6-2.0.3-3-3-3-6-6.3 $8$ $C_6$ $6$ $3$ $[ 0; 3, 3, 3, 3, 6, 6 ]$ $(1,2,3)(4,5,6),\ldots$
8.6-2.0.3-3-3-3-6-6.1 $8$ $C_6$ $6$ $3$ $[ 0; 3, 3, 3, 3, 6, 6 ]$ $(1,2,3)(4,5,6),\ldots$
8.6-2.0.3-3-3-3-6-6.2 $8$ $C_6$ $6$ $3$ $[ 0; 3, 3, 3, 3, 6, 6 ]$ $(1,2,3)(4,5,6),\ldots$
8.6-1.0.2-2-3-3-3-3-3.1 $8$ $S_3$ $6$ $4$ $[ 0; 2, 2, 3, 3, 3, 3, 3 ]$ $(1,4)(2,6)(3,5),\ldots$
8.6-2.0.2-2-3-3-3-3-3.1 $8$ $C_6$ $6$ $4$ $[ 0; 2, 2, 3, 3, 3, 3, 3 ]$ $(1,4)(2,5)(3,6),\ldots$
8.6-2.0.2-2-3-3-3-3-3.2 $8$ $C_6$ $6$ $4$ $[ 0; 2, 2, 3, 3, 3, 3, 3 ]$ $(1,4)(2,5)(3,6),\ldots$
8.12-5.0.3-6-6-6.3 $8$ $C_2\times C_6$ $12$ $1$ $[ 0; 3, 6, 6, 6 ]$ $(1,2,3)(4,5,6)(7,8,9)(10,11,12),\ldots$
8.12-5.0.3-6-6-6.2 $8$ $C_2\times C_6$ $12$ $1$ $[ 0; 3, 6, 6, 6 ]$ $(1,2,3)(4,5,6)(7,8,9)(10,11,12),\ldots$
8.12-5.0.3-6-6-6.4 $8$ $C_2\times C_6$ $12$ $1$ $[ 0; 3, 6, 6, 6 ]$ $(1,3,2)(4,6,5)(7,9,8)(10,12,11),\ldots$
8.12-5.0.3-6-6-6.6 $8$ $C_2\times C_6$ $12$ $1$ $[ 0; 3, 6, 6, 6 ]$ $(1,3,2)(4,6,5)(7,9,8)(10,12,11),\ldots$
8.12-5.0.3-6-6-6.1 $8$ $C_2\times C_6$ $12$ $1$ $[ 0; 3, 6, 6, 6 ]$ $(1,2,3)(4,5,6)(7,8,9)(10,11,12),\ldots$
8.12-5.0.3-6-6-6.5 $8$ $C_2\times C_6$ $12$ $1$ $[ 0; 3, 6, 6, 6 ]$ $(1,3,2)(4,6,5)(7,9,8)(10,12,11),\ldots$
8.12-5.0.2-2-3-3-6.1 $8$ $C_2\times C_6$ $12$ $2$ $[ 0; 2, 2, 3, 3, 6 ]$ $(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$
8.12-5.0.2-2-3-3-6.2 $8$ $C_2\times C_6$ $12$ $2$ $[ 0; 2, 2, 3, 3, 6 ]$ $(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$
8.12-5.0.2-2-3-3-6.5 $8$ $C_2\times C_6$ $12$ $2$ $[ 0; 2, 2, 3, 3, 6 ]$ $(1,7)(2,8)(3,9)(4,10)(5,11)(6,12),\ldots$
8.12-5.0.2-2-3-3-6.4 $8$ $C_2\times C_6$ $12$ $2$ $[ 0; 2, 2, 3, 3, 6 ]$ $(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$
8.12-5.0.2-2-3-3-6.3 $8$ $C_2\times C_6$ $12$ $2$ $[ 0; 2, 2, 3, 3, 6 ]$ $(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$
8.12-4.0.2-2-3-3-6.1 $8$ $D_6$ $12$ $2$ $[ 0; 2, 2, 3, 3, 6 ]$ $(1,7)(2,9)(3,8)(4,10)(5,12)(6,11),\ldots$
8.12-5.0.2-2-3-3-6.6 $8$ $C_2\times C_6$ $12$ $2$ $[ 0; 2, 2, 3, 3, 6 ]$ $(1,7)(2,8)(3,9)(4,10)(5,11)(6,12),\ldots$
8.24-10.0.2-2-3-12.1 $8$ $C_3\times D_4$ $24$ $1$ $[ 0; 2, 2, 3, 12 ]$ $(1,7)\cdots(18,24),\ldots$
8.24-6.0.2-2-3-12.1 $8$ $D_{12}$ $24$ $1$ $[ 0; 2, 2, 3, 12 ]$ $(1,13)\cdots(12,20),\ldots$
8.24-6.0.2-2-3-12.2 $8$ $D_{12}$ $24$ $1$ $[ 0; 2, 2, 3, 12 ]$ $(1,13)\cdots(12,20),\ldots$
8.24-10.0.2-2-3-12.2 $8$ $C_3\times D_4$ $24$ $1$ $[ 0; 2, 2, 3, 12 ]$ $(1,7)\cdots(18,24),\ldots$
8.30-3.0.2-2-3-5.2 $8$ $D_{15}$ $30$ $1$ $[ 0; 2, 2, 3, 5 ]$ $(1,16)\cdots(15,22),\ldots$
8.30-3.0.2-2-3-5.1 $8$ $D_{15}$ $30$ $1$ $[ 0; 2, 2, 3, 5 ]$ $(1,16)\cdots(15,22),\ldots$
8.48-25.0.2-6-24.7 $8$ $C_3\times D_8$ $48$ $0$ $[ 0; 2, 6, 24 ]$ $(1,25)\cdots(24,46),\ldots$
8.48-25.0.2-6-24.5 $8$ $C_3\times D_8$ $48$ $0$ $[ 0; 2, 6, 24 ]$ $(1,25)\cdots(24,46),\ldots$
8.48-25.0.2-6-24.4 $8$ $C_3\times D_8$ $48$ $0$ $[ 0; 2, 6, 24 ]$ $(1,13)\cdots(36,47),\ldots$
8.48-25.0.2-6-24.3 $8$ $C_3\times D_8$ $48$ $0$ $[ 0; 2, 6, 24 ]$ $(1,13)\cdots(36,47),\ldots$
8.48-25.0.2-6-24.2 $8$ $C_3\times D_8$ $48$ $0$ $[ 0; 2, 6, 24 ]$ $(1,13)\cdots(36,47),\ldots$
8.48-25.0.2-6-24.1 $8$ $C_3\times D_8$ $48$ $0$ $[ 0; 2, 6, 24 ]$ $(1,13)\cdots(36,47),\ldots$
8.48-25.0.2-6-24.8 $8$ $C_3\times D_8$ $48$ $0$ $[ 0; 2, 6, 24 ]$ $(1,25)\cdots(24,46),\ldots$
8.48-25.0.2-6-24.6 $8$ $C_3\times D_8$ $48$ $0$ $[ 0; 2, 6, 24 ]$ $(1,25)\cdots(24,46),\ldots$
8.60-8.0.2-6-10.2 $8$ $S_3\times D_5$ $60$ $0$ $[ 0; 2, 6, 10 ]$ $(1,46)\cdots(30,37),\ldots$
8.60-8.0.2-6-10.1 $8$ $S_3\times D_5$ $60$ $0$ $[ 0; 2, 6, 10 ]$ $(1,46)\cdots(30,37),\ldots$
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