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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 (12 matches)

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Refined passport label Genus Group Group order Dimension Signature Generating vectors
9.20-4.0.2-2-10-10.1 $9$ $D_{10}$ $20$ $1$ $[ 0; 2, 2, 10, 10 ]$ $(1,11)(2,15)(3,14)(4,13)(5,12)(6,16)(7,20)(8,19)(9,18)(10,17),\ldots$
9.20-4.0.2-2-10-10.3 $9$ $D_{10}$ $20$ $1$ $[ 0; 2, 2, 10, 10 ]$ $(1,11)(2,15)(3,14)(4,13)(5,12)(6,16)(7,20)(8,19)(9,18)(10,17),\ldots$
9.20-4.0.2-2-10-10.4 $9$ $D_{10}$ $20$ $1$ $[ 0; 2, 2, 10, 10 ]$ $(1,16)(2,20)(3,19)(4,18)(5,17)(6,11)(7,15)(8,14)(9,13)(10,12),\ldots$
9.20-4.0.2-2-10-10.6 $9$ $D_{10}$ $20$ $1$ $[ 0; 2, 2, 10, 10 ]$ $(1,16)(2,20)(3,19)(4,18)(5,17)(6,11)(7,15)(8,14)(9,13)(10,12),\ldots$
9.20-4.0.2-2-10-10.2 $9$ $D_{10}$ $20$ $1$ $[ 0; 2, 2, 10, 10 ]$ $(1,11)(2,15)(3,14)(4,13)(5,12)(6,16)(7,20)(8,19)(9,18)(10,17),\ldots$
9.20-4.0.2-2-10-10.5 $9$ $D_{10}$ $20$ $1$ $[ 0; 2, 2, 10, 10 ]$ $(1,16)(2,20)(3,19)(4,18)(5,17)(6,11)(7,15)(8,14)(9,13)(10,12),\ldots$
9.20-4.0.2-2-2-2-5.6 $9$ $D_{10}$ $20$ $2$ $[ 0; 2, 2, 2, 2, 5 ]$ $(1,11)(2,15)(3,14)(4,13)(5,12)(6,16)(7,20)(8,19)(9,18)(10,17),\ldots$
9.20-4.0.2-2-2-2-5.1 $9$ $D_{10}$ $20$ $2$ $[ 0; 2, 2, 2, 2, 5 ]$ $(1,6)(2,7)(3,8)(4,9)(5,10)(11,16)(12,17)(13,18)(14,19)(15,20),\ldots$
9.20-4.0.2-2-2-2-5.2 $9$ $D_{10}$ $20$ $2$ $[ 0; 2, 2, 2, 2, 5 ]$ $(1,6)(2,7)(3,8)(4,9)(5,10)(11,16)(12,17)(13,18)(14,19)(15,20),\ldots$
9.20-4.0.2-2-2-2-5.3 $9$ $D_{10}$ $20$ $2$ $[ 0; 2, 2, 2, 2, 5 ]$ $(1,6)(2,7)(3,8)(4,9)(5,10)(11,16)(12,17)(13,18)(14,19)(15,20),\ldots$
9.20-4.0.2-2-2-2-5.4 $9$ $D_{10}$ $20$ $2$ $[ 0; 2, 2, 2, 2, 5 ]$ $(1,6)(2,7)(3,8)(4,9)(5,10)(11,16)(12,17)(13,18)(14,19)(15,20),\ldots$
9.20-4.0.2-2-2-2-5.5 $9$ $D_{10}$ $20$ $2$ $[ 0; 2, 2, 2, 2, 5 ]$ $(1,11)(2,15)(3,14)(4,13)(5,12)(6,16)(7,20)(8,19)(9,18)(10,17),\ldots$
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