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Note: Search results may be incomplete due to uncomputed quantities: hyperelliptic (6913 objects)

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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 (1-50 of 64 matches)

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Refined passport label Genus Group Group order Dimension Signature
8.2-1.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.1 $8$ $C_2$ $2$ $15$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
8.4-1.0.2-2-2-2-2-2-2-2-4-4.1 $8$ $C_4$ $4$ $7$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$
8.4-2.0.2-2-2-2-2-2-2-2-2-2-2.1 $8$ $C_2^2$ $4$ $8$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
8.4-2.0.2-2-2-2-2-2-2-2-2-2-2.11 $8$ $C_2^2$ $4$ $8$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
8.4-2.0.2-2-2-2-2-2-2-2-2-2-2.15 $8$ $C_2^2$ $4$ $8$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
8.6-2.0.2-2-2-2-2-2-3-3.1 $8$ $C_6$ $6$ $5$ $[ 0; 2, 2, 2, 2, 2, 2, 3, 3 ]$
8.8-1.0.2-2-2-2-8-8.1 $8$ $C_8$ $8$ $3$ $[ 0; 2, 2, 2, 2, 8, 8 ]$
8.8-4.0.2-2-2-4-4-4.1 $8$ $Q_8$ $8$ $3$ $[ 0; 2, 2, 2, 4, 4, 4 ]$
8.8-1.0.2-2-2-2-8-8.2 $8$ $C_8$ $8$ $3$ $[ 0; 2, 2, 2, 2, 8, 8 ]$
8.8-3.0.2-2-2-2-2-2-4.1 $8$ $D_4$ $8$ $4$ $[ 0; 2, 2, 2, 2, 2, 2, 4 ]$
8.12-5.0.2-2-2-6-6.14 $8$ $C_2\times C_6$ $12$ $2$ $[ 0; 2, 2, 2, 6, 6 ]$
8.12-5.0.2-2-2-6-6.2 $8$ $C_2\times C_6$ $12$ $2$ $[ 0; 2, 2, 2, 6, 6 ]$
8.12-5.0.2-2-2-6-6.1 $8$ $C_2\times C_6$ $12$ $2$ $[ 0; 2, 2, 2, 6, 6 ]$
8.12-1.0.2-2-3-4-4.1 $8$ $C_3:C_4$ $12$ $2$ $[ 0; 2, 2, 3, 4, 4 ]$
8.12-5.0.2-2-2-6-6.21 $8$ $C_2\times C_6$ $12$ $2$ $[ 0; 2, 2, 2, 6, 6 ]$
8.12-5.0.2-2-2-6-6.20 $8$ $C_2\times C_6$ $12$ $2$ $[ 0; 2, 2, 2, 6, 6 ]$
8.12-5.0.2-2-2-6-6.15 $8$ $C_2\times C_6$ $12$ $2$ $[ 0; 2, 2, 2, 6, 6 ]$
8.12-4.0.2-2-2-2-2-3.1 $8$ $D_6$ $12$ $3$ $[ 0; 2, 2, 2, 2, 2, 3 ]$
8.16-9.0.2-4-4-8.2 $8$ $Q_{16}$ $16$ $1$ $[ 0; 2, 4, 4, 8 ]$
8.16-9.0.2-4-4-8.1 $8$ $Q_{16}$ $16$ $1$ $[ 0; 2, 4, 4, 8 ]$
8.16-7.0.2-2-2-2-8.1 $8$ $D_8$ $16$ $2$ $[ 0; 2, 2, 2, 2, 8 ]$
8.16-7.0.2-2-2-2-8.2 $8$ $D_8$ $16$ $2$ $[ 0; 2, 2, 2, 2, 8 ]$
8.24-8.0.2-2-4-6.1 $8$ $C_3:D_4$ $24$ $1$ $[ 0; 2, 2, 4, 6 ]$
8.24-3.0.2-3-3-4.1 $8$ $\SL(2,3)$ $24$ $1$ $[ 0; 2, 3, 3, 4 ]$
8.24-8.0.2-2-4-6.2 $8$ $C_3:D_4$ $24$ $1$ $[ 0; 2, 2, 4, 6 ]$
8.32-18.0.2-2-2-16.1 $8$ $D_{16}$ $32$ $1$ $[ 0; 2, 2, 2, 16 ]$
8.32-18.0.2-2-2-16.2 $8$ $D_{16}$ $32$ $1$ $[ 0; 2, 2, 2, 16 ]$
8.32-18.0.2-2-2-16.3 $8$ $D_{16}$ $32$ $1$ $[ 0; 2, 2, 2, 16 ]$
8.32-18.0.2-2-2-16.4 $8$ $D_{16}$ $32$ $1$ $[ 0; 2, 2, 2, 16 ]$
8.34-2.0.2-17-34.12 $8$ $C_{34}$ $34$ $0$ $[ 0; 2, 17, 34 ]$
8.34-2.0.2-17-34.13 $8$ $C_{34}$ $34$ $0$ $[ 0; 2, 17, 34 ]$
8.34-2.0.2-17-34.14 $8$ $C_{34}$ $34$ $0$ $[ 0; 2, 17, 34 ]$
8.34-2.0.2-17-34.15 $8$ $C_{34}$ $34$ $0$ $[ 0; 2, 17, 34 ]$
8.34-2.0.2-17-34.16 $8$ $C_{34}$ $34$ $0$ $[ 0; 2, 17, 34 ]$
8.34-2.0.2-17-34.11 $8$ $C_{34}$ $34$ $0$ $[ 0; 2, 17, 34 ]$
8.34-2.0.2-17-34.2 $8$ $C_{34}$ $34$ $0$ $[ 0; 2, 17, 34 ]$
8.34-2.0.2-17-34.3 $8$ $C_{34}$ $34$ $0$ $[ 0; 2, 17, 34 ]$
8.34-2.0.2-17-34.4 $8$ $C_{34}$ $34$ $0$ $[ 0; 2, 17, 34 ]$
8.34-2.0.2-17-34.5 $8$ $C_{34}$ $34$ $0$ $[ 0; 2, 17, 34 ]$
8.34-2.0.2-17-34.6 $8$ $C_{34}$ $34$ $0$ $[ 0; 2, 17, 34 ]$
8.34-2.0.2-17-34.7 $8$ $C_{34}$ $34$ $0$ $[ 0; 2, 17, 34 ]$
8.34-2.0.2-17-34.8 $8$ $C_{34}$ $34$ $0$ $[ 0; 2, 17, 34 ]$
8.34-2.0.2-17-34.9 $8$ $C_{34}$ $34$ $0$ $[ 0; 2, 17, 34 ]$
8.34-2.0.2-17-34.10 $8$ $C_{34}$ $34$ $0$ $[ 0; 2, 17, 34 ]$
8.34-2.0.2-17-34.1 $8$ $C_{34}$ $34$ $0$ $[ 0; 2, 17, 34 ]$
8.36-4.0.2-2-2-9.3 $8$ $D_{18}$ $36$ $1$ $[ 0; 2, 2, 2, 9 ]$
8.36-4.0.2-2-2-9.1 $8$ $D_{18}$ $36$ $1$ $[ 0; 2, 2, 2, 9 ]$
8.36-4.0.2-2-2-9.2 $8$ $D_{18}$ $36$ $1$ $[ 0; 2, 2, 2, 9 ]$
8.48-28.0.3-4-8.2 $8$ $C_2.S_4$ $48$ $0$ $[ 0; 3, 4, 8 ]$
8.48-28.0.3-4-8.1 $8$ $C_2.S_4$ $48$ $0$ $[ 0; 3, 4, 8 ]$
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