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Genus Dimension of the family Group order Hyperelliptic curves Full automorphism group
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Results (31 matches)

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Refined passport label Genus Group Group order Dimension Signature Generating vectors
15.8-3.0.2-2-4-4-4-4-4-4.1 $15$ $D_4$ $8$ $5$ $[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ $(1,3)(2,4)(5,7)(6,8),\ldots$
15.8-3.0.2-2-4-4-4-4-4-4.2 $15$ $D_4$ $8$ $5$ $[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ $(1,5)(2,6)(3,8)(4,7),\ldots$
15.8-3.0.2-2-2-2-2-4-4-4-4.1 $15$ $D_4$ $8$ $6$ $[ 0; 2, 2, 2, 2, 2, 4, 4, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
15.8-3.0.2-2-2-2-2-4-4-4-4.2 $15$ $D_4$ $8$ $6$ $[ 0; 2, 2, 2, 2, 2, 4, 4, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
15.8-3.0.2-2-2-2-2-4-4-4-4.3 $15$ $D_4$ $8$ $6$ $[ 0; 2, 2, 2, 2, 2, 4, 4, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
15.8-3.0.2-2-2-2-2-4-4-4-4.4 $15$ $D_4$ $8$ $6$ $[ 0; 2, 2, 2, 2, 2, 4, 4, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
15.8-3.0.2-2-2-2-2-4-4-4-4.5 $15$ $D_4$ $8$ $6$ $[ 0; 2, 2, 2, 2, 2, 4, 4, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
15.8-3.0.2-2-2-2-2-2-2-2-4-4.1 $15$ $D_4$ $8$ $7$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
15.8-3.0.2-2-2-2-2-2-2-2-4-4.2 $15$ $D_4$ $8$ $7$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
15.8-3.0.2-2-2-2-2-2-2-2-4-4.3 $15$ $D_4$ $8$ $7$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
15.8-3.0.2-2-2-2-2-2-2-2-4-4.4 $15$ $D_4$ $8$ $7$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
15.8-3.0.2-2-2-2-2-2-2-2-4-4.5 $15$ $D_4$ $8$ $7$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
15.8-3.0.2-2-2-2-2-2-2-2-4-4.6 $15$ $D_4$ $8$ $7$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
15.8-3.0.2-2-2-2-2-2-2-2-4-4.7 $15$ $D_4$ $8$ $7$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
15.8-3.0.2-2-2-2-2-2-2-2-4-4.8 $15$ $D_4$ $8$ $7$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
15.8-3.0.2-2-2-2-2-2-2-2-4-4.9 $15$ $D_4$ $8$ $7$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
15.8-3.0.2-2-2-2-2-2-2-2-4-4.10 $15$ $D_4$ $8$ $7$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$ $(1,3)(2,4)(5,7)(6,8),\ldots$
15.8-3.0.2-2-2-2-2-2-2-2-4-4.11 $15$ $D_4$ $8$ $7$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$ $(1,3)(2,4)(5,7)(6,8),\ldots$
15.8-3.0.2-2-2-2-2-2-2-2-4-4.12 $15$ $D_4$ $8$ $7$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$ $(1,3)(2,4)(5,7)(6,8),\ldots$
15.8-3.0.2-2-2-2-2-2-2-2-4-4.13 $15$ $D_4$ $8$ $7$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$ $(1,3)(2,4)(5,7)(6,8),\ldots$
15.8-3.0.2-2-2-2-2-2-2-2-4-4.14 $15$ $D_4$ $8$ $7$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$ $(1,5)(2,6)(3,8)(4,7),\ldots$
15.8-3.0.2-2-2-2-2-2-2-2-2-2-2.1 $15$ $D_4$ $8$ $8$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
15.8-3.0.2-2-2-2-2-2-2-2-2-2-2.2 $15$ $D_4$ $8$ $8$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
15.8-3.0.2-2-2-2-2-2-2-2-2-2-2.3 $15$ $D_4$ $8$ $8$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
15.8-3.0.2-2-2-2-2-2-2-2-2-2-2.4 $15$ $D_4$ $8$ $8$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
15.8-3.0.2-2-2-2-2-2-2-2-2-2-2.5 $15$ $D_4$ $8$ $8$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
15.8-3.0.2-2-2-2-2-2-2-2-2-2-2.6 $15$ $D_4$ $8$ $8$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
15.8-3.0.2-2-2-2-2-2-2-2-2-2-2.7 $15$ $D_4$ $8$ $8$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
15.8-3.0.2-2-2-2-2-2-2-2-2-2-2.8 $15$ $D_4$ $8$ $8$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
15.8-3.0.2-2-2-2-2-2-2-2-2-2-2.9 $15$ $D_4$ $8$ $8$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
15.8-3.0.2-2-2-2-2-2-2-2-2-2-2.10 $15$ $D_4$ $8$ $8$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
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