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Results (30 matches)

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Refined passport label Genus Group Group order Dimension Signature Generating vectors
13.18-3.0.6-6-6-6.1 $13$ $C_3\times S_3$ $18$ $1$ $[ 0; 6, 6, 6, 6 ]$ $(1,13,7,10,4,16)(2,15,8,12,5,18)(3,14,9,11,6,17),\ldots$
13.18-3.0.2-3-3-3-6.2 $13$ $C_3\times S_3$ $18$ $2$ $[ 0; 2, 3, 3, 3, 6 ]$ $(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$
13.18-3.0.2-3-3-3-6.3 $13$ $C_3\times S_3$ $18$ $2$ $[ 0; 2, 3, 3, 3, 6 ]$ $(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$
13.18-3.0.2-3-3-3-6.4 $13$ $C_3\times S_3$ $18$ $2$ $[ 0; 2, 3, 3, 3, 6 ]$ $(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$
13.18-3.0.2-3-3-3-6.5 $13$ $C_3\times S_3$ $18$ $2$ $[ 0; 2, 3, 3, 3, 6 ]$ $(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$
13.18-3.0.2-3-3-3-6.6 $13$ $C_3\times S_3$ $18$ $2$ $[ 0; 2, 3, 3, 3, 6 ]$ $(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$
13.18-3.0.2-3-3-3-6.7 $13$ $C_3\times S_3$ $18$ $2$ $[ 0; 2, 3, 3, 3, 6 ]$ $(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$
13.18-3.0.2-3-3-3-6.8 $13$ $C_3\times S_3$ $18$ $2$ $[ 0; 2, 3, 3, 3, 6 ]$ $(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$
13.18-3.0.2-3-3-3-6.9 $13$ $C_3\times S_3$ $18$ $2$ $[ 0; 2, 3, 3, 3, 6 ]$ $(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$
13.18-3.0.2-3-3-3-6.10 $13$ $C_3\times S_3$ $18$ $2$ $[ 0; 2, 3, 3, 3, 6 ]$ $(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$
13.18-3.0.2-3-3-3-6.11 $13$ $C_3\times S_3$ $18$ $2$ $[ 0; 2, 3, 3, 3, 6 ]$ $(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$
13.18-3.0.2-3-3-3-6.12 $13$ $C_3\times S_3$ $18$ $2$ $[ 0; 2, 3, 3, 3, 6 ]$ $(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$
13.18-3.0.2-3-3-3-6.13 $13$ $C_3\times S_3$ $18$ $2$ $[ 0; 2, 3, 3, 3, 6 ]$ $(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$
13.18-3.0.2-3-3-3-6.14 $13$ $C_3\times S_3$ $18$ $2$ $[ 0; 2, 3, 3, 3, 6 ]$ $(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$
13.18-3.0.2-3-3-3-6.15 $13$ $C_3\times S_3$ $18$ $2$ $[ 0; 2, 3, 3, 3, 6 ]$ $(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$
13.18-3.0.2-3-3-3-6.1 $13$ $C_3\times S_3$ $18$ $2$ $[ 0; 2, 3, 3, 3, 6 ]$ $(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$
13.18-3.0.2-3-3-3-6.17 $13$ $C_3\times S_3$ $18$ $2$ $[ 0; 2, 3, 3, 3, 6 ]$ $(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$
13.18-3.0.2-3-3-3-6.18 $13$ $C_3\times S_3$ $18$ $2$ $[ 0; 2, 3, 3, 3, 6 ]$ $(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$
13.18-3.0.2-3-3-3-6.19 $13$ $C_3\times S_3$ $18$ $2$ $[ 0; 2, 3, 3, 3, 6 ]$ $(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$
13.18-3.0.2-3-3-3-6.20 $13$ $C_3\times S_3$ $18$ $2$ $[ 0; 2, 3, 3, 3, 6 ]$ $(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$
13.18-3.0.2-2-3-6-6.2 $13$ $C_3\times S_3$ $18$ $2$ $[ 0; 2, 2, 3, 6, 6 ]$ $(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$
13.18-3.0.2-2-3-6-6.3 $13$ $C_3\times S_3$ $18$ $2$ $[ 0; 2, 2, 3, 6, 6 ]$ $(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$
13.18-3.0.2-2-3-6-6.4 $13$ $C_3\times S_3$ $18$ $2$ $[ 0; 2, 2, 3, 6, 6 ]$ $(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$
13.18-3.0.2-2-3-6-6.1 $13$ $C_3\times S_3$ $18$ $2$ $[ 0; 2, 2, 3, 6, 6 ]$ $(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$
13.18-3.0.2-2-3-6-6.5 $13$ $C_3\times S_3$ $18$ $2$ $[ 0; 2, 2, 3, 6, 6 ]$ $(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$
13.18-3.0.2-3-3-3-6.16 $13$ $C_3\times S_3$ $18$ $2$ $[ 0; 2, 3, 3, 3, 6 ]$ $(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$
13.18-3.0.2-2-2-2-3-3.2 $13$ $C_3\times S_3$ $18$ $3$ $[ 0; 2, 2, 2, 2, 3, 3 ]$ $(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$
13.18-3.0.2-2-2-2-3-3.3 $13$ $C_3\times S_3$ $18$ $3$ $[ 0; 2, 2, 2, 2, 3, 3 ]$ $(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$
13.18-3.0.2-2-2-2-3-3.4 $13$ $C_3\times S_3$ $18$ $3$ $[ 0; 2, 2, 2, 2, 3, 3 ]$ $(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$
13.18-3.0.2-2-2-2-3-3.1 $13$ $C_3\times S_3$ $18$ $3$ $[ 0; 2, 2, 2, 2, 3, 3 ]$ $(1,10)(2,12)(3,11)(4,13)(5,15)(6,14)(7,16)(8,18)(9,17),\ldots$
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