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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 87 matches)

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Refined passport label Genus Group Group order Dimension Signature Generating vectors
12.2-1.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.1 $12$ $C_2$ $2$ $23$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ $(1,2),\ldots$
12.4-1.0.2-2-2-2-2-2-2-2-2-2-2-2-4-4.1 $12$ $C_4$ $4$ $11$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$ $(1,2)(3,4),\ldots$
12.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.22 $12$ $C_2^2$ $4$ $12$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ $(1,2)(3,4),\ldots$
12.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.28 $12$ $C_2^2$ $4$ $12$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ $(1,2)(3,4),\ldots$
12.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.1 $12$ $C_2^2$ $4$ $12$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ $(1,2)(3,4),\ldots$
12.6-2.0.2-2-2-2-2-2-2-2-6-6.1 $12$ $C_6$ $6$ $7$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 6, 6 ]$ $(1,4)(2,5)(3,6),\ldots$
12.8-4.0.2-2-2-2-2-4-4-4.1 $12$ $Q_8$ $8$ $5$ $[ 0; 2, 2, 2, 2, 2, 4, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
12.8-1.0.2-2-2-2-2-2-8-8.1 $12$ $C_8$ $8$ $5$ $[ 0; 2, 2, 2, 2, 2, 2, 8, 8 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
12.8-1.0.2-2-2-2-2-2-8-8.2 $12$ $C_8$ $8$ $5$ $[ 0; 2, 2, 2, 2, 2, 2, 8, 8 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
12.8-3.0.2-2-2-2-2-2-2-2-4.1 $12$ $D_4$ $8$ $6$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
12.10-2.0.2-2-2-2-2-5-10.1 $12$ $C_{10}$ $10$ $4$ $[ 0; 2, 2, 2, 2, 2, 5, 10 ]$ $(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
12.10-2.0.2-2-2-2-2-5-10.2 $12$ $C_{10}$ $10$ $4$ $[ 0; 2, 2, 2, 2, 2, 5, 10 ]$ $(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
12.10-2.0.2-2-2-2-2-5-10.3 $12$ $C_{10}$ $10$ $4$ $[ 0; 2, 2, 2, 2, 2, 5, 10 ]$ $(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
12.10-2.0.2-2-2-2-2-5-10.4 $12$ $C_{10}$ $10$ $4$ $[ 0; 2, 2, 2, 2, 2, 5, 10 ]$ $(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
12.12-1.0.2-2-2-4-4-6.1 $12$ $C_3:C_4$ $12$ $3$ $[ 0; 2, 2, 2, 4, 4, 6 ]$ $(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$
12.12-2.0.2-2-2-2-12-12.1 $12$ $C_{12}$ $12$ $3$ $[ 0; 2, 2, 2, 2, 12, 12 ]$ $(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$
12.12-2.0.2-2-2-2-12-12.2 $12$ $C_{12}$ $12$ $3$ $[ 0; 2, 2, 2, 2, 12, 12 ]$ $(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),\ldots$
12.12-4.0.2-2-2-2-2-2-6.1 $12$ $D_6$ $12$ $4$ $[ 0; 2, 2, 2, 2, 2, 2, 6 ]$ $(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$
12.16-1.0.2-2-2-16-16.1 $12$ $C_{16}$ $16$ $2$ $[ 0; 2, 2, 2, 16, 16 ]$ $(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
12.16-9.0.2-2-4-4-8.1 $12$ $Q_{16}$ $16$ $2$ $[ 0; 2, 2, 4, 4, 8 ]$ $(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
12.16-9.0.2-2-4-4-8.2 $12$ $Q_{16}$ $16$ $2$ $[ 0; 2, 2, 4, 4, 8 ]$ $(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
12.16-1.0.2-2-2-16-16.2 $12$ $C_{16}$ $16$ $2$ $[ 0; 2, 2, 2, 16, 16 ]$ $(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
12.16-1.0.2-2-2-16-16.3 $12$ $C_{16}$ $16$ $2$ $[ 0; 2, 2, 2, 16, 16 ]$ $(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
12.16-1.0.2-2-2-16-16.4 $12$ $C_{16}$ $16$ $2$ $[ 0; 2, 2, 2, 16, 16 ]$ $(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
12.16-7.0.2-2-2-2-2-8.1 $12$ $D_8$ $16$ $3$ $[ 0; 2, 2, 2, 2, 2, 8 ]$ $(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
12.16-7.0.2-2-2-2-2-8.2 $12$ $D_8$ $16$ $3$ $[ 0; 2, 2, 2, 2, 2, 8 ]$ $(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
12.24-4.0.2-4-4-12.1 $12$ $C_3:Q_8$ $24$ $1$ $[ 0; 2, 4, 4, 12 ]$ $(1,4)\cdots(21,24),\ldots$
12.24-4.0.2-4-4-12.2 $12$ $C_3:Q_8$ $24$ $1$ $[ 0; 2, 4, 4, 12 ]$ $(1,4)\cdots(21,24),\ldots$
12.24-3.0.2-4-6-6.1 $12$ $\SL(2,3)$ $24$ $1$ $[ 0; 2, 4, 6, 6 ]$ $(1,2)\cdots(23,24),\ldots$
12.24-6.0.2-2-2-2-12.2 $12$ $D_{12}$ $24$ $2$ $[ 0; 2, 2, 2, 2, 12 ]$ $(1,4)\cdots(21,24),\ldots$
12.24-6.0.2-2-2-2-12.1 $12$ $D_{12}$ $24$ $2$ $[ 0; 2, 2, 2, 2, 12 ]$ $(1,4)\cdots(21,24),\ldots$
12.32-19.0.2-2-4-16.2 $12$ $\SD_{32}$ $32$ $1$ $[ 0; 2, 2, 4, 16 ]$ $(1,2)\cdots(31,32),\ldots$
12.32-19.0.2-2-4-16.1 $12$ $\SD_{32}$ $32$ $1$ $[ 0; 2, 2, 4, 16 ]$ $(1,2)\cdots(31,32),\ldots$
12.32-19.0.2-2-4-16.3 $12$ $\SD_{32}$ $32$ $1$ $[ 0; 2, 2, 4, 16 ]$ $(1,2)\cdots(31,32),\ldots$
12.32-19.0.2-2-4-16.4 $12$ $\SD_{32}$ $32$ $1$ $[ 0; 2, 2, 4, 16 ]$ $(1,2)\cdots(31,32),\ldots$
12.48-28.0.4-6-8.1 $12$ $C_2.S_4$ $48$ $0$ $[ 0; 4, 6, 8 ]$ $(1,25,2,26)\cdots(23,40,24,39),\ldots$
12.48-28.0.4-6-8.2 $12$ $C_2.S_4$ $48$ $0$ $[ 0; 4, 6, 8 ]$ $(1,25,2,26)\cdots(23,40,24,39),\ldots$
12.48-7.0.2-2-2-24.1 $12$ $D_{24}$ $48$ $1$ $[ 0; 2, 2, 2, 24 ]$ $(1,4)\cdots(45,48),\ldots$
12.48-7.0.2-2-2-24.2 $12$ $D_{24}$ $48$ $1$ $[ 0; 2, 2, 2, 24 ]$ $(1,4)\cdots(45,48),\ldots$
12.48-7.0.2-2-2-24.3 $12$ $D_{24}$ $48$ $1$ $[ 0; 2, 2, 2, 24 ]$ $(1,4)\cdots(45,48),\ldots$
12.48-7.0.2-2-2-24.4 $12$ $D_{24}$ $48$ $1$ $[ 0; 2, 2, 2, 24 ]$ $(1,4)\cdots(45,48),\ldots$
12.50-2.0.2-25-50.12 $12$ $C_{50}$ $50$ $0$ $[ 0; 2, 25, 50 ]$ $(1,26)\cdots(25,50),\ldots$
12.50-2.0.2-25-50.1 $12$ $C_{50}$ $50$ $0$ $[ 0; 2, 25, 50 ]$ $(1,26)\cdots(25,50),\ldots$
12.50-2.0.2-25-50.2 $12$ $C_{50}$ $50$ $0$ $[ 0; 2, 25, 50 ]$ $(1,26)\cdots(25,50),\ldots$
12.50-2.0.2-25-50.3 $12$ $C_{50}$ $50$ $0$ $[ 0; 2, 25, 50 ]$ $(1,26)\cdots(25,50),\ldots$
12.50-2.0.2-25-50.4 $12$ $C_{50}$ $50$ $0$ $[ 0; 2, 25, 50 ]$ $(1,26)\cdots(25,50),\ldots$
12.50-2.0.2-25-50.5 $12$ $C_{50}$ $50$ $0$ $[ 0; 2, 25, 50 ]$ $(1,26)\cdots(25,50),\ldots$
12.50-2.0.2-25-50.6 $12$ $C_{50}$ $50$ $0$ $[ 0; 2, 25, 50 ]$ $(1,26)\cdots(25,50),\ldots$
12.50-2.0.2-25-50.7 $12$ $C_{50}$ $50$ $0$ $[ 0; 2, 25, 50 ]$ $(1,26)\cdots(25,50),\ldots$
12.50-2.0.2-25-50.8 $12$ $C_{50}$ $50$ $0$ $[ 0; 2, 25, 50 ]$ $(1,26)\cdots(25,50),\ldots$
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