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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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Refined passport label Genus Group Group order Dimension Signature
5.2-1.0.2-2-2-2-2-2-2-2-2-2-2-2.1 $5$ $C_2$ $2$ $9$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
5.3-1.0.3-3-3-3-3-3-3.1 $5$ $C_3$ $3$ $4$ $[ 0; 3, 3, 3, 3, 3, 3, 3 ]$
5.3-1.0.3-3-3-3-3-3-3.2 $5$ $C_3$ $3$ $4$ $[ 0; 3, 3, 3, 3, 3, 3, 3 ]$
5.4-1.0.2-2-4-4-4-4.1 $5$ $C_4$ $4$ $3$ $[ 0; 2, 2, 4, 4, 4, 4 ]$
5.4-1.0.2-2-4-4-4-4.3 $5$ $C_4$ $4$ $3$ $[ 0; 2, 2, 4, 4, 4, 4 ]$
5.4-1.0.2-2-4-4-4-4.2 $5$ $C_4$ $4$ $3$ $[ 0; 2, 2, 4, 4, 4, 4 ]$
5.4-1.0.2-2-2-2-2-4-4.2 $5$ $C_4$ $4$ $4$ $[ 0; 2, 2, 2, 2, 2, 4, 4 ]$
5.4-1.0.2-2-2-2-2-4-4.1 $5$ $C_4$ $4$ $4$ $[ 0; 2, 2, 2, 2, 2, 4, 4 ]$
5.4-2.0.2-2-2-2-2-2-2-2.9 $5$ $C_2^2$ $4$ $5$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2 ]$
5.4-2.0.2-2-2-2-2-2-2-2.8 $5$ $C_2^2$ $4$ $5$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2 ]$
5.4-2.0.2-2-2-2-2-2-2-2.6 $5$ $C_2^2$ $4$ $5$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2 ]$
5.4-2.0.2-2-2-2-2-2-2-2.5 $5$ $C_2^2$ $4$ $5$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2 ]$
5.4-2.0.2-2-2-2-2-2-2-2.12 $5$ $C_2^2$ $4$ $5$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2 ]$
5.4-2.0.2-2-2-2-2-2-2-2.4 $5$ $C_2^2$ $4$ $5$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2 ]$
5.4-2.0.2-2-2-2-2-2-2-2.1 $5$ $C_2^2$ $4$ $5$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2 ]$
5.4-2.0.2-2-2-2-2-2-2-2.3 $5$ $C_2^2$ $4$ $5$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2 ]$
5.4-2.0.2-2-2-2-2-2-2-2.10 $5$ $C_2^2$ $4$ $5$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2 ]$
5.4-2.0.2-2-2-2-2-2-2-2.7 $5$ $C_2^2$ $4$ $5$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2 ]$
5.4-2.0.2-2-2-2-2-2-2-2.2 $5$ $C_2^2$ $4$ $5$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2 ]$
5.4-2.0.2-2-2-2-2-2-2-2.11 $5$ $C_2^2$ $4$ $5$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2 ]$
5.6-2.0.6-6-6-6.1 $5$ $C_6$ $6$ $1$ $[ 0; 6, 6, 6, 6 ]$
5.6-2.0.2-3-3-3-6.1 $5$ $C_6$ $6$ $2$ $[ 0; 2, 3, 3, 3, 6 ]$
5.6-2.0.2-2-3-6-6.2 $5$ $C_6$ $6$ $2$ $[ 0; 2, 2, 3, 6, 6 ]$
5.6-2.0.2-3-3-3-6.2 $5$ $C_6$ $6$ $2$ $[ 0; 2, 3, 3, 3, 6 ]$
5.6-2.0.2-2-3-6-6.1 $5$ $C_6$ $6$ $2$ $[ 0; 2, 2, 3, 6, 6 ]$
5.6-2.0.2-2-2-2-3-3.1 $5$ $C_6$ $6$ $3$ $[ 0; 2, 2, 2, 2, 3, 3 ]$
5.6-1.0.2-2-2-2-3-3.1 $5$ $S_3$ $6$ $3$ $[ 0; 2, 2, 2, 2, 3, 3 ]$
5.8-1.0.2-4-8-8.2 $5$ $C_8$ $8$ $1$ $[ 0; 2, 4, 8, 8 ]$
5.8-2.0.4-4-4-4.4 $5$ $C_2\times C_4$ $8$ $1$ $[ 0; 4, 4, 4, 4 ]$
5.8-4.0.4-4-4-4.1 $5$ $Q_8$ $8$ $1$ $[ 0; 4, 4, 4, 4 ]$
5.8-2.0.4-4-4-4.5 $5$ $C_2\times C_4$ $8$ $1$ $[ 0; 4, 4, 4, 4 ]$
5.8-2.0.4-4-4-4.3 $5$ $C_2\times C_4$ $8$ $1$ $[ 0; 4, 4, 4, 4 ]$
5.8-4.0.4-4-4-4.2 $5$ $Q_8$ $8$ $1$ $[ 0; 4, 4, 4, 4 ]$
5.8-1.0.2-4-8-8.5 $5$ $C_8$ $8$ $1$ $[ 0; 2, 4, 8, 8 ]$
5.8-1.0.2-4-8-8.1 $5$ $C_8$ $8$ $1$ $[ 0; 2, 4, 8, 8 ]$
5.8-1.0.2-4-8-8.4 $5$ $C_8$ $8$ $1$ $[ 0; 2, 4, 8, 8 ]$
5.8-1.0.2-4-8-8.6 $5$ $C_8$ $8$ $1$ $[ 0; 2, 4, 8, 8 ]$
5.8-4.0.4-4-4-4.3 $5$ $Q_8$ $8$ $1$ $[ 0; 4, 4, 4, 4 ]$
5.8-2.0.4-4-4-4.1 $5$ $C_2\times C_4$ $8$ $1$ $[ 0; 4, 4, 4, 4 ]$
5.8-2.0.4-4-4-4.2 $5$ $C_2\times C_4$ $8$ $1$ $[ 0; 4, 4, 4, 4 ]$
5.8-1.0.2-4-8-8.3 $5$ $C_8$ $8$ $1$ $[ 0; 2, 4, 8, 8 ]$
5.8-2.0.2-2-2-4-4.10 $5$ $C_2\times C_4$ $8$ $2$ $[ 0; 2, 2, 2, 4, 4 ]$
5.8-2.0.2-2-2-4-4.9 $5$ $C_2\times C_4$ $8$ $2$ $[ 0; 2, 2, 2, 4, 4 ]$
5.8-2.0.2-2-2-4-4.8 $5$ $C_2\times C_4$ $8$ $2$ $[ 0; 2, 2, 2, 4, 4 ]$
5.8-2.0.2-2-2-4-4.7 $5$ $C_2\times C_4$ $8$ $2$ $[ 0; 2, 2, 2, 4, 4 ]$
5.8-2.0.2-2-2-4-4.6 $5$ $C_2\times C_4$ $8$ $2$ $[ 0; 2, 2, 2, 4, 4 ]$
5.8-2.0.2-2-2-4-4.3 $5$ $C_2\times C_4$ $8$ $2$ $[ 0; 2, 2, 2, 4, 4 ]$
5.8-2.0.2-2-2-4-4.5 $5$ $C_2\times C_4$ $8$ $2$ $[ 0; 2, 2, 2, 4, 4 ]$
5.8-2.0.2-2-2-4-4.2 $5$ $C_2\times C_4$ $8$ $2$ $[ 0; 2, 2, 2, 4, 4 ]$
5.8-3.0.2-2-2-4-4.2 $5$ $D_4$ $8$ $2$ $[ 0; 2, 2, 2, 4, 4 ]$
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