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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 (20 matches)

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Refined passport label Genus Group Group order Dimension Signature Generating vectors
14.30-4.0.15-30-30.2 $14$ $C_{30}$ $30$ $0$ $[ 0; 15, 30, 30 ]$ $(1,7,13,4,10,11,2,8,14,5,6,12,3,9,15)(16,22,28,19,25,26,17,23,29,20,21,27,18,24,30),\ldots$
14.30-4.0.15-30-30.4 $14$ $C_{30}$ $30$ $0$ $[ 0; 15, 30, 30 ]$ $(1,13,10,2,14,6,3,15,7,4,11,8,5,12,9)(16,28,25,17,29,21,18,30,22,19,26,23,20,27,24),\ldots$
14.30-4.0.15-30-30.6 $14$ $C_{30}$ $30$ $0$ $[ 0; 15, 30, 30 ]$ $(1,10,14,3,7,11,5,9,13,2,6,15,4,8,12)(16,25,29,18,22,26,20,24,28,17,21,30,19,23,27),\ldots$
14.30-4.0.15-30-30.8 $14$ $C_{30}$ $30$ $0$ $[ 0; 15, 30, 30 ]$ $(1,8,15,2,9,11,3,10,12,4,6,13,5,7,14)(16,23,30,17,24,26,18,25,27,19,21,28,20,22,29),\ldots$
14.30-4.0.15-30-30.9 $14$ $C_{30}$ $30$ $0$ $[ 0; 15, 30, 30 ]$ $(1,14,7,5,13,6,4,12,10,3,11,9,2,15,8)(16,29,22,20,28,21,19,27,25,18,26,24,17,30,23),\ldots$
14.30-4.0.15-30-30.12 $14$ $C_{30}$ $30$ $0$ $[ 0; 15, 30, 30 ]$ $(1,12,8,4,15,6,2,13,9,5,11,7,3,14,10)(16,27,23,19,30,21,17,28,24,20,26,22,18,29,25),\ldots$
14.30-4.0.15-30-30.13 $14$ $C_{30}$ $30$ $0$ $[ 0; 15, 30, 30 ]$ $(1,9,12,5,8,11,4,7,15,3,6,14,2,10,13)(16,24,27,20,23,26,19,22,30,18,21,29,17,25,28),\ldots$
14.30-4.0.15-30-30.16 $14$ $C_{30}$ $30$ $0$ $[ 0; 15, 30, 30 ]$ $(1,15,9,3,12,6,5,14,8,2,11,10,4,13,7)(16,30,24,18,27,21,20,29,23,17,26,25,19,28,22),\ldots$
14.30-4.0.15-30-30.10 $14$ $C_{30}$ $30$ $0$ $[ 0; 15, 30, 30 ]$ $(1,14,7,5,13,6,4,12,10,3,11,9,2,15,8)(16,29,22,20,28,21,19,27,25,18,26,24,17,30,23),\ldots$
14.30-4.0.15-30-30.11 $14$ $C_{30}$ $30$ $0$ $[ 0; 15, 30, 30 ]$ $(1,12,8,4,15,6,2,13,9,5,11,7,3,14,10)(16,27,23,19,30,21,17,28,24,20,26,22,18,29,25),\ldots$
14.30-4.0.15-30-30.14 $14$ $C_{30}$ $30$ $0$ $[ 0; 15, 30, 30 ]$ $(1,9,12,5,8,11,4,7,15,3,6,14,2,10,13)(16,24,27,20,23,26,19,22,30,18,21,29,17,25,28),\ldots$
14.30-4.0.15-30-30.15 $14$ $C_{30}$ $30$ $0$ $[ 0; 15, 30, 30 ]$ $(1,15,9,3,12,6,5,14,8,2,11,10,4,13,7)(16,30,24,18,27,21,20,29,23,17,26,25,19,28,22),\ldots$
14.30-4.0.15-30-30.1 $14$ $C_{30}$ $30$ $0$ $[ 0; 15, 30, 30 ]$ $(1,7,13,4,10,11,2,8,14,5,6,12,3,9,15)(16,22,28,19,25,26,17,23,29,20,21,27,18,24,30),\ldots$
14.30-4.0.15-30-30.3 $14$ $C_{30}$ $30$ $0$ $[ 0; 15, 30, 30 ]$ $(1,13,10,2,14,6,3,15,7,4,11,8,5,12,9)(16,28,25,17,29,21,18,30,22,19,26,23,20,27,24),\ldots$
14.30-4.0.15-30-30.5 $14$ $C_{30}$ $30$ $0$ $[ 0; 15, 30, 30 ]$ $(1,10,14,3,7,11,5,9,13,2,6,15,4,8,12)(16,25,29,18,22,26,20,24,28,17,21,30,19,23,27),\ldots$
14.30-4.0.15-30-30.7 $14$ $C_{30}$ $30$ $0$ $[ 0; 15, 30, 30 ]$ $(1,8,15,2,9,11,3,10,12,4,6,13,5,7,14)(16,23,30,17,24,26,18,25,27,19,21,28,20,22,29),\ldots$
14.30-4.0.2-2-15-15.1 $14$ $C_{30}$ $30$ $1$ $[ 0; 2, 2, 15, 15 ]$ $(1,16)\cdots(15,30),\ldots$
14.30-4.0.2-2-15-15.2 $14$ $C_{30}$ $30$ $1$ $[ 0; 2, 2, 15, 15 ]$ $(1,16)\cdots(15,30),\ldots$
14.30-4.0.2-2-15-15.3 $14$ $C_{30}$ $30$ $1$ $[ 0; 2, 2, 15, 15 ]$ $(1,16)\cdots(15,30),\ldots$
14.30-4.0.2-2-15-15.4 $14$ $C_{30}$ $30$ $1$ $[ 0; 2, 2, 15, 15 ]$ $(1,16)\cdots(15,30),\ldots$
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