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Note: Search results may be incomplete due to uncomputed quantities: cyclic_trigonal (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 (8 matches)

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Refined passport label Genus Group Group order Dimension Signature Generating vectors
5.3-1.0.3-3-3-3-3-3-3.2 $5$ $C_3$ $3$ $4$ $[ 0; 3, 3, 3, 3, 3, 3, 3 ]$ $(1,2,3),\ldots$
5.3-1.0.3-3-3-3-3-3-3.1 $5$ $C_3$ $3$ $4$ $[ 0; 3, 3, 3, 3, 3, 3, 3 ]$ $(1,2,3),\ldots$
5.6-2.0.2-3-3-3-6.2 $5$ $C_6$ $6$ $2$ $[ 0; 2, 3, 3, 3, 6 ]$ $(1,4)(2,5)(3,6),\ldots$
5.6-2.0.2-3-3-3-6.1 $5$ $C_6$ $6$ $2$ $[ 0; 2, 3, 3, 3, 6 ]$ $(1,4)(2,5)(3,6),\ldots$
5.30-2.0.2-6-15.2 $5$ $C_3\times D_5$ $30$ $0$ $[ 0; 2, 6, 15 ]$ $(1,16)\cdots(15,27),\ldots$
5.30-2.0.2-6-15.3 $5$ $C_3\times D_5$ $30$ $0$ $[ 0; 2, 6, 15 ]$ $(1,16)\cdots(15,27),\ldots$
5.30-2.0.2-6-15.4 $5$ $C_3\times D_5$ $30$ $0$ $[ 0; 2, 6, 15 ]$ $(1,16)\cdots(15,27),\ldots$
5.30-2.0.2-6-15.1 $5$ $C_3\times D_5$ $30$ $0$ $[ 0; 2, 6, 15 ]$ $(1,16)\cdots(15,27),\ldots$
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