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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 66 matches)

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Refined passport label Genus Group Group order Dimension Signature
10.2-1.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.1 $10$ $C_2$ $2$ $19$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
10.4-1.0.2-2-2-2-2-2-2-2-2-2-4-4.1 $10$ $C_4$ $4$ $9$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.1 $10$ $C_2^2$ $4$ $10$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.21 $10$ $C_2^2$ $4$ $10$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.16 $10$ $C_2^2$ $4$ $10$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
10.6-2.0.2-2-2-2-2-2-2-3-6.1 $10$ $C_6$ $6$ $6$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 3, 6 ]$
10.6-2.0.2-2-2-2-2-2-2-3-6.2 $10$ $C_6$ $6$ $6$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 3, 6 ]$
10.8-4.0.2-2-2-2-4-4-4.1 $10$ $Q_8$ $8$ $4$ $[ 0; 2, 2, 2, 2, 4, 4, 4 ]$
10.8-1.0.2-2-2-2-2-8-8.1 $10$ $C_8$ $8$ $4$ $[ 0; 2, 2, 2, 2, 2, 8, 8 ]$
10.8-1.0.2-2-2-2-2-8-8.2 $10$ $C_8$ $8$ $4$ $[ 0; 2, 2, 2, 2, 2, 8, 8 ]$
10.8-3.0.2-2-2-2-2-2-2-4.1 $10$ $D_4$ $8$ $5$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 4 ]$
10.10-2.0.2-2-2-2-10-10.2 $10$ $C_{10}$ $10$ $3$ $[ 0; 2, 2, 2, 2, 10, 10 ]$
10.10-2.0.2-2-2-2-10-10.1 $10$ $C_{10}$ $10$ $3$ $[ 0; 2, 2, 2, 2, 10, 10 ]$
10.14-2.0.2-2-2-7-14.4 $10$ $C_{14}$ $14$ $2$ $[ 0; 2, 2, 2, 7, 14 ]$
10.14-2.0.2-2-2-7-14.5 $10$ $C_{14}$ $14$ $2$ $[ 0; 2, 2, 2, 7, 14 ]$
10.14-2.0.2-2-2-7-14.6 $10$ $C_{14}$ $14$ $2$ $[ 0; 2, 2, 2, 7, 14 ]$
10.14-2.0.2-2-2-7-14.1 $10$ $C_{14}$ $14$ $2$ $[ 0; 2, 2, 2, 7, 14 ]$
10.14-2.0.2-2-2-7-14.3 $10$ $C_{14}$ $14$ $2$ $[ 0; 2, 2, 2, 7, 14 ]$
10.14-2.0.2-2-2-7-14.2 $10$ $C_{14}$ $14$ $2$ $[ 0; 2, 2, 2, 7, 14 ]$
10.16-8.0.2-2-2-4-8.1 $10$ $\SD_{16}$ $16$ $2$ $[ 0; 2, 2, 2, 4, 8 ]$
10.16-8.0.2-2-2-4-8.2 $10$ $\SD_{16}$ $16$ $2$ $[ 0; 2, 2, 2, 4, 8 ]$
10.20-1.0.2-4-4-10.1 $10$ $C_5:C_4$ $20$ $1$ $[ 0; 2, 4, 4, 10 ]$
10.20-1.0.2-4-4-10.2 $10$ $C_5:C_4$ $20$ $1$ $[ 0; 2, 4, 4, 10 ]$
10.20-4.0.2-2-2-2-10.1 $10$ $D_{10}$ $20$ $2$ $[ 0; 2, 2, 2, 2, 10 ]$
10.20-4.0.2-2-2-2-10.2 $10$ $D_{10}$ $20$ $2$ $[ 0; 2, 2, 2, 2, 10 ]$
10.24-3.0.2-3-4-6.1 $10$ $\SL(2,3)$ $24$ $1$ $[ 0; 2, 3, 4, 6 ]$
10.24-3.0.2-3-4-6.2 $10$ $\SL(2,3)$ $24$ $1$ $[ 0; 2, 3, 4, 6 ]$
10.40-6.0.2-2-2-20.1 $10$ $D_{20}$ $40$ $1$ $[ 0; 2, 2, 2, 20 ]$
10.40-6.0.2-2-2-20.4 $10$ $D_{20}$ $40$ $1$ $[ 0; 2, 2, 2, 20 ]$
10.40-6.0.2-2-2-20.3 $10$ $D_{20}$ $40$ $1$ $[ 0; 2, 2, 2, 20 ]$
10.40-6.0.2-2-2-20.2 $10$ $D_{20}$ $40$ $1$ $[ 0; 2, 2, 2, 20 ]$
10.42-6.0.2-21-42.3 $10$ $C_{42}$ $42$ $0$ $[ 0; 2, 21, 42 ]$
10.42-6.0.2-21-42.2 $10$ $C_{42}$ $42$ $0$ $[ 0; 2, 21, 42 ]$
10.42-6.0.2-21-42.1 $10$ $C_{42}$ $42$ $0$ $[ 0; 2, 21, 42 ]$
10.42-6.0.2-21-42.6 $10$ $C_{42}$ $42$ $0$ $[ 0; 2, 21, 42 ]$
10.42-6.0.2-21-42.5 $10$ $C_{42}$ $42$ $0$ $[ 0; 2, 21, 42 ]$
10.42-6.0.2-21-42.7 $10$ $C_{42}$ $42$ $0$ $[ 0; 2, 21, 42 ]$
10.42-6.0.2-21-42.8 $10$ $C_{42}$ $42$ $0$ $[ 0; 2, 21, 42 ]$
10.42-6.0.2-21-42.9 $10$ $C_{42}$ $42$ $0$ $[ 0; 2, 21, 42 ]$
10.42-6.0.2-21-42.10 $10$ $C_{42}$ $42$ $0$ $[ 0; 2, 21, 42 ]$
10.42-6.0.2-21-42.11 $10$ $C_{42}$ $42$ $0$ $[ 0; 2, 21, 42 ]$
10.42-6.0.2-21-42.12 $10$ $C_{42}$ $42$ $0$ $[ 0; 2, 21, 42 ]$
10.42-6.0.2-21-42.4 $10$ $C_{42}$ $42$ $0$ $[ 0; 2, 21, 42 ]$
10.44-3.0.2-2-2-11.4 $10$ $D_{22}$ $44$ $1$ $[ 0; 2, 2, 2, 11 ]$
10.44-3.0.2-2-2-11.1 $10$ $D_{22}$ $44$ $1$ $[ 0; 2, 2, 2, 11 ]$
10.44-3.0.2-2-2-11.2 $10$ $D_{22}$ $44$ $1$ $[ 0; 2, 2, 2, 11 ]$
10.44-3.0.2-2-2-11.3 $10$ $D_{22}$ $44$ $1$ $[ 0; 2, 2, 2, 11 ]$
10.44-3.0.2-2-2-11.5 $10$ $D_{22}$ $44$ $1$ $[ 0; 2, 2, 2, 11 ]$
10.80-6.0.2-4-40.8 $10$ $C_{40}:C_2$ $80$ $0$ $[ 0; 2, 4, 40 ]$
10.80-6.0.2-4-40.7 $10$ $C_{40}:C_2$ $80$ $0$ $[ 0; 2, 4, 40 ]$
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