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Refined passport label Genus Group Group order Dimension Signature Generating vectors
7.8-2.0.2-4-4-4-4.19 $7$ $C_2\times C_4$ $8$ $2$ $[ 0; 2, 4, 4, 4, 4 ]$ $(1,4)(2,3)(5,8)(6,7),\ldots$
7.8-2.0.2-4-4-4-4.4 $7$ $C_2\times C_4$ $8$ $2$ $[ 0; 2, 4, 4, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
7.8-2.0.2-4-4-4-4.5 $7$ $C_2\times C_4$ $8$ $2$ $[ 0; 2, 4, 4, 4, 4 ]$ $(1,3)(2,4)(5,7)(6,8),\ldots$
7.8-2.0.2-4-4-4-4.6 $7$ $C_2\times C_4$ $8$ $2$ $[ 0; 2, 4, 4, 4, 4 ]$ $(1,3)(2,4)(5,7)(6,8),\ldots$
7.8-2.0.2-4-4-4-4.8 $7$ $C_2\times C_4$ $8$ $2$ $[ 0; 2, 4, 4, 4, 4 ]$ $(1,3)(2,4)(5,7)(6,8),\ldots$
7.8-2.0.2-4-4-4-4.10 $7$ $C_2\times C_4$ $8$ $2$ $[ 0; 2, 4, 4, 4, 4 ]$ $(1,3)(2,4)(5,7)(6,8),\ldots$
7.8-2.0.2-4-4-4-4.11 $7$ $C_2\times C_4$ $8$ $2$ $[ 0; 2, 4, 4, 4, 4 ]$ $(1,3)(2,4)(5,7)(6,8),\ldots$
7.8-2.0.2-4-4-4-4.12 $7$ $C_2\times C_4$ $8$ $2$ $[ 0; 2, 4, 4, 4, 4 ]$ $(1,3)(2,4)(5,7)(6,8),\ldots$
7.8-2.0.2-4-4-4-4.13 $7$ $C_2\times C_4$ $8$ $2$ $[ 0; 2, 4, 4, 4, 4 ]$ $(1,4)(2,3)(5,8)(6,7),\ldots$
7.8-2.0.2-4-4-4-4.14 $7$ $C_2\times C_4$ $8$ $2$ $[ 0; 2, 4, 4, 4, 4 ]$ $(1,4)(2,3)(5,8)(6,7),\ldots$
7.8-2.0.2-4-4-4-4.16 $7$ $C_2\times C_4$ $8$ $2$ $[ 0; 2, 4, 4, 4, 4 ]$ $(1,4)(2,3)(5,8)(6,7),\ldots$
7.8-2.0.2-4-4-4-4.18 $7$ $C_2\times C_4$ $8$ $2$ $[ 0; 2, 4, 4, 4, 4 ]$ $(1,4)(2,3)(5,8)(6,7),\ldots$
7.8-2.0.2-4-4-4-4.3 $7$ $C_2\times C_4$ $8$ $2$ $[ 0; 2, 4, 4, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
7.8-2.0.2-4-4-4-4.20 $7$ $C_2\times C_4$ $8$ $2$ $[ 0; 2, 4, 4, 4, 4 ]$ $(1,4)(2,3)(5,8)(6,7),\ldots$
7.8-2.0.2-4-4-4-4.1 $7$ $C_2\times C_4$ $8$ $2$ $[ 0; 2, 4, 4, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
7.8-2.0.2-4-4-4-4.2 $7$ $C_2\times C_4$ $8$ $2$ $[ 0; 2, 4, 4, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
7.8-2.0.2-4-4-4-4.7 $7$ $C_2\times C_4$ $8$ $2$ $[ 0; 2, 4, 4, 4, 4 ]$ $(1,3)(2,4)(5,7)(6,8),\ldots$
7.8-2.0.2-4-4-4-4.9 $7$ $C_2\times C_4$ $8$ $2$ $[ 0; 2, 4, 4, 4, 4 ]$ $(1,3)(2,4)(5,7)(6,8),\ldots$
7.8-2.0.2-4-4-4-4.15 $7$ $C_2\times C_4$ $8$ $2$ $[ 0; 2, 4, 4, 4, 4 ]$ $(1,4)(2,3)(5,8)(6,7),\ldots$
7.8-2.0.2-4-4-4-4.17 $7$ $C_2\times C_4$ $8$ $2$ $[ 0; 2, 4, 4, 4, 4 ]$ $(1,4)(2,3)(5,8)(6,7),\ldots$
7.8-2.0.2-2-2-2-4-4.11 $7$ $C_2\times C_4$ $8$ $3$ $[ 0; 2, 2, 2, 2, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
7.8-2.0.2-2-2-2-4-4.12 $7$ $C_2\times C_4$ $8$ $3$ $[ 0; 2, 2, 2, 2, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
7.8-2.0.2-2-2-2-4-4.14 $7$ $C_2\times C_4$ $8$ $3$ $[ 0; 2, 2, 2, 2, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
7.8-2.0.2-2-2-2-4-4.16 $7$ $C_2\times C_4$ $8$ $3$ $[ 0; 2, 2, 2, 2, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
7.8-2.0.2-2-2-2-4-4.17 $7$ $C_2\times C_4$ $8$ $3$ $[ 0; 2, 2, 2, 2, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
7.8-2.0.2-2-2-2-4-4.20 $7$ $C_2\times C_4$ $8$ $3$ $[ 0; 2, 2, 2, 2, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
7.8-2.0.2-2-2-2-4-4.24 $7$ $C_2\times C_4$ $8$ $3$ $[ 0; 2, 2, 2, 2, 4, 4 ]$ $(1,3)(2,4)(5,7)(6,8),\ldots$
7.8-2.0.2-2-2-2-4-4.25 $7$ $C_2\times C_4$ $8$ $3$ $[ 0; 2, 2, 2, 2, 4, 4 ]$ $(1,3)(2,4)(5,7)(6,8),\ldots$
7.8-2.0.2-2-2-2-4-4.26 $7$ $C_2\times C_4$ $8$ $3$ $[ 0; 2, 2, 2, 2, 4, 4 ]$ $(1,3)(2,4)(5,7)(6,8),\ldots$
7.8-2.0.2-2-2-2-4-4.27 $7$ $C_2\times C_4$ $8$ $3$ $[ 0; 2, 2, 2, 2, 4, 4 ]$ $(1,3)(2,4)(5,7)(6,8),\ldots$
7.8-2.0.2-2-2-2-4-4.29 $7$ $C_2\times C_4$ $8$ $3$ $[ 0; 2, 2, 2, 2, 4, 4 ]$ $(1,3)(2,4)(5,7)(6,8),\ldots$
7.8-2.0.2-2-2-2-4-4.31 $7$ $C_2\times C_4$ $8$ $3$ $[ 0; 2, 2, 2, 2, 4, 4 ]$ $(1,3)(2,4)(5,7)(6,8),\ldots$
7.8-2.0.2-2-2-2-4-4.32 $7$ $C_2\times C_4$ $8$ $3$ $[ 0; 2, 2, 2, 2, 4, 4 ]$ $(1,3)(2,4)(5,7)(6,8),\ldots$
7.8-2.0.2-2-2-2-4-4.33 $7$ $C_2\times C_4$ $8$ $3$ $[ 0; 2, 2, 2, 2, 4, 4 ]$ $(1,4)(2,3)(5,8)(6,7),\ldots$
7.8-2.0.2-2-2-2-4-4.21 $7$ $C_2\times C_4$ $8$ $3$ $[ 0; 2, 2, 2, 2, 4, 4 ]$ $(1,3)(2,4)(5,7)(6,8),\ldots$
7.8-2.0.2-2-2-2-4-4.22 $7$ $C_2\times C_4$ $8$ $3$ $[ 0; 2, 2, 2, 2, 4, 4 ]$ $(1,3)(2,4)(5,7)(6,8),\ldots$
7.8-2.0.2-2-2-2-4-4.7 $7$ $C_2\times C_4$ $8$ $3$ $[ 0; 2, 2, 2, 2, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
7.8-2.0.2-2-2-2-4-4.9 $7$ $C_2\times C_4$ $8$ $3$ $[ 0; 2, 2, 2, 2, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
7.8-2.0.2-2-2-2-4-4.10 $7$ $C_2\times C_4$ $8$ $3$ $[ 0; 2, 2, 2, 2, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
7.8-2.0.2-2-2-2-4-4.13 $7$ $C_2\times C_4$ $8$ $3$ $[ 0; 2, 2, 2, 2, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
7.8-2.0.2-2-2-2-4-4.15 $7$ $C_2\times C_4$ $8$ $3$ $[ 0; 2, 2, 2, 2, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
7.8-2.0.2-2-2-2-4-4.18 $7$ $C_2\times C_4$ $8$ $3$ $[ 0; 2, 2, 2, 2, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
7.8-2.0.2-2-2-2-4-4.19 $7$ $C_2\times C_4$ $8$ $3$ $[ 0; 2, 2, 2, 2, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
7.8-2.0.2-2-2-2-4-4.23 $7$ $C_2\times C_4$ $8$ $3$ $[ 0; 2, 2, 2, 2, 4, 4 ]$ $(1,3)(2,4)(5,7)(6,8),\ldots$
7.8-2.0.2-2-2-2-4-4.28 $7$ $C_2\times C_4$ $8$ $3$ $[ 0; 2, 2, 2, 2, 4, 4 ]$ $(1,3)(2,4)(5,7)(6,8),\ldots$
7.8-2.0.2-2-2-2-4-4.30 $7$ $C_2\times C_4$ $8$ $3$ $[ 0; 2, 2, 2, 2, 4, 4 ]$ $(1,3)(2,4)(5,7)(6,8),\ldots$
7.8-2.0.2-2-2-2-4-4.34 $7$ $C_2\times C_4$ $8$ $3$ $[ 0; 2, 2, 2, 2, 4, 4 ]$ $(1,4)(2,3)(5,8)(6,7),\ldots$
7.8-2.0.2-2-2-2-4-4.2 $7$ $C_2\times C_4$ $8$ $3$ $[ 0; 2, 2, 2, 2, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
7.8-2.0.2-2-2-2-4-4.1 $7$ $C_2\times C_4$ $8$ $3$ $[ 0; 2, 2, 2, 2, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
7.8-2.0.2-2-2-2-4-4.3 $7$ $C_2\times C_4$ $8$ $3$ $[ 0; 2, 2, 2, 2, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
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