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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 (24 matches)

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Refined passport label Genus Group Group order Dimension Signature Generating vectors
8.10-2.0.5-5-10-10.19 $8$ $C_{10}$ $10$ $1$ $[ 0; 5, 5, 10, 10 ]$ $(1,5,4,3,2)(6,10,9,8,7),\ldots$
8.10-2.0.5-5-10-10.8 $8$ $C_{10}$ $10$ $1$ $[ 0; 5, 5, 10, 10 ]$ $(1,2,3,4,5)(6,7,8,9,10),\ldots$
8.10-2.0.5-5-10-10.9 $8$ $C_{10}$ $10$ $1$ $[ 0; 5, 5, 10, 10 ]$ $(1,3,5,2,4)(6,8,10,7,9),\ldots$
8.10-2.0.5-5-10-10.11 $8$ $C_{10}$ $10$ $1$ $[ 0; 5, 5, 10, 10 ]$ $(1,3,5,2,4)(6,8,10,7,9),\ldots$
8.10-2.0.5-5-10-10.16 $8$ $C_{10}$ $10$ $1$ $[ 0; 5, 5, 10, 10 ]$ $(1,4,2,5,3)(6,9,7,10,8),\ldots$
8.10-2.0.5-5-10-10.1 $8$ $C_{10}$ $10$ $1$ $[ 0; 5, 5, 10, 10 ]$ $(1,2,3,4,5)(6,7,8,9,10),\ldots$
8.10-2.0.5-5-10-10.3 $8$ $C_{10}$ $10$ $1$ $[ 0; 5, 5, 10, 10 ]$ $(1,2,3,4,5)(6,7,8,9,10),\ldots$
8.10-2.0.5-5-10-10.4 $8$ $C_{10}$ $10$ $1$ $[ 0; 5, 5, 10, 10 ]$ $(1,2,3,4,5)(6,7,8,9,10),\ldots$
8.10-2.0.5-5-10-10.5 $8$ $C_{10}$ $10$ $1$ $[ 0; 5, 5, 10, 10 ]$ $(1,2,3,4,5)(6,7,8,9,10),\ldots$
8.10-2.0.5-5-10-10.6 $8$ $C_{10}$ $10$ $1$ $[ 0; 5, 5, 10, 10 ]$ $(1,2,3,4,5)(6,7,8,9,10),\ldots$
8.10-2.0.5-5-10-10.10 $8$ $C_{10}$ $10$ $1$ $[ 0; 5, 5, 10, 10 ]$ $(1,3,5,2,4)(6,8,10,7,9),\ldots$
8.10-2.0.5-5-10-10.13 $8$ $C_{10}$ $10$ $1$ $[ 0; 5, 5, 10, 10 ]$ $(1,3,5,2,4)(6,8,10,7,9),\ldots$
8.10-2.0.5-5-10-10.14 $8$ $C_{10}$ $10$ $1$ $[ 0; 5, 5, 10, 10 ]$ $(1,3,5,2,4)(6,8,10,7,9),\ldots$
8.10-2.0.5-5-10-10.15 $8$ $C_{10}$ $10$ $1$ $[ 0; 5, 5, 10, 10 ]$ $(1,4,2,5,3)(6,9,7,10,8),\ldots$
8.10-2.0.5-5-10-10.17 $8$ $C_{10}$ $10$ $1$ $[ 0; 5, 5, 10, 10 ]$ $(1,4,2,5,3)(6,9,7,10,8),\ldots$
8.10-2.0.5-5-10-10.18 $8$ $C_{10}$ $10$ $1$ $[ 0; 5, 5, 10, 10 ]$ $(1,4,2,5,3)(6,9,7,10,8),\ldots$
8.10-2.0.5-5-10-10.20 $8$ $C_{10}$ $10$ $1$ $[ 0; 5, 5, 10, 10 ]$ $(1,5,4,3,2)(6,10,9,8,7),\ldots$
8.10-2.0.5-5-10-10.12 $8$ $C_{10}$ $10$ $1$ $[ 0; 5, 5, 10, 10 ]$ $(1,3,5,2,4)(6,8,10,7,9),\ldots$
8.10-2.0.5-5-10-10.2 $8$ $C_{10}$ $10$ $1$ $[ 0; 5, 5, 10, 10 ]$ $(1,2,3,4,5)(6,7,8,9,10),\ldots$
8.10-2.0.5-5-10-10.7 $8$ $C_{10}$ $10$ $1$ $[ 0; 5, 5, 10, 10 ]$ $(1,2,3,4,5)(6,7,8,9,10),\ldots$
8.10-2.0.2-2-5-5-5.2 $8$ $C_{10}$ $10$ $2$ $[ 0; 2, 2, 5, 5, 5 ]$ $(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
8.10-2.0.2-2-5-5-5.3 $8$ $C_{10}$ $10$ $2$ $[ 0; 2, 2, 5, 5, 5 ]$ $(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
8.10-2.0.2-2-5-5-5.4 $8$ $C_{10}$ $10$ $2$ $[ 0; 2, 2, 5, 5, 5 ]$ $(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
8.10-2.0.2-2-5-5-5.1 $8$ $C_{10}$ $10$ $2$ $[ 0; 2, 2, 5, 5, 5 ]$ $(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
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