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

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Genus Dimension of the family Group order Hyperelliptic curves Full automorphism group
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Results (1-50 of 71 matches)

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Refined passport label Genus Group Group order Dimension Signature Generating vectors
3.2-1.0.2-2-2-2-2-2-2-2.1 $3$ $C_2$ $2$ $5$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2 ]$ $(1,2),\ldots$
3.4-1.0.2-2-2-4-4.2 $3$ $C_4$ $4$ $2$ $[ 0; 2, 2, 2, 4, 4 ]$ $(1,2)(3,4),\ldots$
3.4-1.0.2-2-2-4-4.1 $3$ $C_4$ $4$ $2$ $[ 0; 2, 2, 2, 4, 4 ]$ $(1,2)(3,4),\ldots$
3.4-2.0.2-2-2-2-2-2.2 $3$ $C_2^2$ $4$ $3$ $[ 0; 2, 2, 2, 2, 2, 2 ]$ $(1,2)(3,4),\ldots$
3.4-2.0.2-2-2-2-2-2.7 $3$ $C_2^2$ $4$ $3$ $[ 0; 2, 2, 2, 2, 2, 2 ]$ $(1,3)(2,4),\ldots$
3.4-2.0.2-2-2-2-2-2.3 $3$ $C_2^2$ $4$ $3$ $[ 0; 2, 2, 2, 2, 2, 2 ]$ $(1,2)(3,4),\ldots$
3.4-2.0.2-2-2-2-2-2.1 $3$ $C_2^2$ $4$ $3$ $[ 0; 2, 2, 2, 2, 2, 2 ]$ $(1,2)(3,4),\ldots$
3.4-2.0.2-2-2-2-2-2.5 $3$ $C_2^2$ $4$ $3$ $[ 0; 2, 2, 2, 2, 2, 2 ]$ $(1,2)(3,4),\ldots$
3.4-2.0.2-2-2-2-2-2.6 $3$ $C_2^2$ $4$ $3$ $[ 0; 2, 2, 2, 2, 2, 2 ]$ $(1,3)(2,4),\ldots$
3.8-2.0.2-2-4-4.1 $3$ $C_2\times C_4$ $8$ $1$ $[ 0; 2, 2, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
3.8-2.0.2-2-4-4.3 $3$ $C_2\times C_4$ $8$ $1$ $[ 0; 2, 2, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
3.8-2.0.2-2-4-4.4 $3$ $C_2\times C_4$ $8$ $1$ $[ 0; 2, 2, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
3.8-2.0.2-2-4-4.2 $3$ $C_2\times C_4$ $8$ $1$ $[ 0; 2, 2, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
3.8-5.0.2-2-2-2-2.21 $3$ $C_2^3$ $8$ $2$ $[ 0; 2, 2, 2, 2, 2 ]$ $(1,3)(2,4)(5,7)(6,8),\ldots$
3.8-5.0.2-2-2-2-2.22 $3$ $C_2^3$ $8$ $2$ $[ 0; 2, 2, 2, 2, 2 ]$ $(1,3)(2,4)(5,7)(6,8),\ldots$
3.8-5.0.2-2-2-2-2.23 $3$ $C_2^3$ $8$ $2$ $[ 0; 2, 2, 2, 2, 2 ]$ $(1,3)(2,4)(5,7)(6,8),\ldots$
3.8-5.0.2-2-2-2-2.24 $3$ $C_2^3$ $8$ $2$ $[ 0; 2, 2, 2, 2, 2 ]$ $(1,3)(2,4)(5,7)(6,8),\ldots$
3.8-5.0.2-2-2-2-2.25 $3$ $C_2^3$ $8$ $2$ $[ 0; 2, 2, 2, 2, 2 ]$ $(1,4)(2,3)(5,8)(6,7),\ldots$
3.8-5.0.2-2-2-2-2.3 $3$ $C_2^3$ $8$ $2$ $[ 0; 2, 2, 2, 2, 2 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
3.8-5.0.2-2-2-2-2.28 $3$ $C_2^3$ $8$ $2$ $[ 0; 2, 2, 2, 2, 2 ]$ $(1,4)(2,3)(5,8)(6,7),\ldots$
3.8-5.0.2-2-2-2-2.27 $3$ $C_2^3$ $8$ $2$ $[ 0; 2, 2, 2, 2, 2 ]$ $(1,4)(2,3)(5,8)(6,7),\ldots$
3.8-5.0.2-2-2-2-2.19 $3$ $C_2^3$ $8$ $2$ $[ 0; 2, 2, 2, 2, 2 ]$ $(1,3)(2,4)(5,7)(6,8),\ldots$
3.8-5.0.2-2-2-2-2.17 $3$ $C_2^3$ $8$ $2$ $[ 0; 2, 2, 2, 2, 2 ]$ $(1,3)(2,4)(5,7)(6,8),\ldots$
3.8-5.0.2-2-2-2-2.15 $3$ $C_2^3$ $8$ $2$ $[ 0; 2, 2, 2, 2, 2 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
3.8-5.0.2-2-2-2-2.11 $3$ $C_2^3$ $8$ $2$ $[ 0; 2, 2, 2, 2, 2 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
3.8-5.0.2-2-2-2-2.9 $3$ $C_2^3$ $8$ $2$ $[ 0; 2, 2, 2, 2, 2 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
3.8-5.0.2-2-2-2-2.7 $3$ $C_2^3$ $8$ $2$ $[ 0; 2, 2, 2, 2, 2 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
3.8-5.0.2-2-2-2-2.5 $3$ $C_2^3$ $8$ $2$ $[ 0; 2, 2, 2, 2, 2 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
3.8-5.0.2-2-2-2-2.26 $3$ $C_2^3$ $8$ $2$ $[ 0; 2, 2, 2, 2, 2 ]$ $(1,4)(2,3)(5,8)(6,7),\ldots$
3.8-5.0.2-2-2-2-2.1 $3$ $C_2^3$ $8$ $2$ $[ 0; 2, 2, 2, 2, 2 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
3.8-5.0.2-2-2-2-2.2 $3$ $C_2^3$ $8$ $2$ $[ 0; 2, 2, 2, 2, 2 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
3.8-5.0.2-2-2-2-2.4 $3$ $C_2^3$ $8$ $2$ $[ 0; 2, 2, 2, 2, 2 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
3.8-5.0.2-2-2-2-2.6 $3$ $C_2^3$ $8$ $2$ $[ 0; 2, 2, 2, 2, 2 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
3.8-5.0.2-2-2-2-2.8 $3$ $C_2^3$ $8$ $2$ $[ 0; 2, 2, 2, 2, 2 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
3.8-5.0.2-2-2-2-2.10 $3$ $C_2^3$ $8$ $2$ $[ 0; 2, 2, 2, 2, 2 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
3.8-5.0.2-2-2-2-2.12 $3$ $C_2^3$ $8$ $2$ $[ 0; 2, 2, 2, 2, 2 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
3.8-5.0.2-2-2-2-2.13 $3$ $C_2^3$ $8$ $2$ $[ 0; 2, 2, 2, 2, 2 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
3.8-5.0.2-2-2-2-2.14 $3$ $C_2^3$ $8$ $2$ $[ 0; 2, 2, 2, 2, 2 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
3.8-5.0.2-2-2-2-2.16 $3$ $C_2^3$ $8$ $2$ $[ 0; 2, 2, 2, 2, 2 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
3.8-5.0.2-2-2-2-2.18 $3$ $C_2^3$ $8$ $2$ $[ 0; 2, 2, 2, 2, 2 ]$ $(1,3)(2,4)(5,7)(6,8),\ldots$
3.8-5.0.2-2-2-2-2.20 $3$ $C_2^3$ $8$ $2$ $[ 0; 2, 2, 2, 2, 2 ]$ $(1,3)(2,4)(5,7)(6,8),\ldots$
3.12-4.0.2-2-2-6.2 $3$ $D_6$ $12$ $1$ $[ 0; 2, 2, 2, 6 ]$ $(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$
3.12-4.0.2-2-2-6.1 $3$ $D_6$ $12$ $1$ $[ 0; 2, 2, 2, 6 ]$ $(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$
3.14-2.0.2-7-14.4 $3$ $C_{14}$ $14$ $0$ $[ 0; 2, 7, 14 ]$ $(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
3.14-2.0.2-7-14.3 $3$ $C_{14}$ $14$ $0$ $[ 0; 2, 7, 14 ]$ $(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
3.14-2.0.2-7-14.5 $3$ $C_{14}$ $14$ $0$ $[ 0; 2, 7, 14 ]$ $(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
3.14-2.0.2-7-14.6 $3$ $C_{14}$ $14$ $0$ $[ 0; 2, 7, 14 ]$ $(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
3.14-2.0.2-7-14.2 $3$ $C_{14}$ $14$ $0$ $[ 0; 2, 7, 14 ]$ $(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
3.14-2.0.2-7-14.1 $3$ $C_{14}$ $14$ $0$ $[ 0; 2, 7, 14 ]$ $(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
3.16-11.0.2-2-2-4.2 $3$ $C_2\times D_4$ $16$ $1$ $[ 0; 2, 2, 2, 4 ]$ $(1,3)(2,4)(5,7)(6,8)(9,11)(10,12)(13,15)(14,16),\ldots$
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