Family of higher genus curves with automorphisms search results

Results (12 matches)

 

Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Hyperelliptic	Cyclic trigonal	Generating vectors
6.15-1.0.5-15-15.3	$6$	$0$	$C_{15}$	$15$	$0$	$[ 0; 5, 15, 15 ]$			$(1,2,3,4,5)(6,7,8,9,10)(11,12,13,14,15),\ldots$
6.15-1.0.5-15-15.4	$6$	$0$	$C_{15}$	$15$	$0$	$[ 0; 5, 15, 15 ]$			$(1,3,5,2,4)(6,8,10,7,9)(11,13,15,12,14),\ldots$
6.15-1.0.5-15-15.6	$6$	$0$	$C_{15}$	$15$	$0$	$[ 0; 5, 15, 15 ]$			$(1,3,5,2,4)(6,8,10,7,9)(11,13,15,12,14),\ldots$
6.15-1.0.5-15-15.8	$6$	$0$	$C_{15}$	$15$	$0$	$[ 0; 5, 15, 15 ]$			$(1,4,2,5,3)(6,9,7,10,8)(11,14,12,15,13),\ldots$
6.15-1.0.5-15-15.9	$6$	$0$	$C_{15}$	$15$	$0$	$[ 0; 5, 15, 15 ]$			$(1,4,2,5,3)(6,9,7,10,8)(11,14,12,15,13),\ldots$
6.15-1.0.5-15-15.10	$6$	$0$	$C_{15}$	$15$	$0$	$[ 0; 5, 15, 15 ]$			$(1,5,4,3,2)(6,10,9,8,7)(11,15,14,13,12),\ldots$
6.15-1.0.5-15-15.2	$6$	$0$	$C_{15}$	$15$	$0$	$[ 0; 5, 15, 15 ]$			$(1,2,3,4,5)(6,7,8,9,10)(11,12,13,14,15),\ldots$
6.15-1.0.5-15-15.5	$6$	$0$	$C_{15}$	$15$	$0$	$[ 0; 5, 15, 15 ]$			$(1,3,5,2,4)(6,8,10,7,9)(11,13,15,12,14),\ldots$
6.15-1.0.5-15-15.7	$6$	$0$	$C_{15}$	$15$	$0$	$[ 0; 5, 15, 15 ]$			$(1,4,2,5,3)(6,9,7,10,8)(11,14,12,15,13),\ldots$
6.15-1.0.5-15-15.12	$6$	$0$	$C_{15}$	$15$	$0$	$[ 0; 5, 15, 15 ]$			$(1,5,4,3,2)(6,10,9,8,7)(11,15,14,13,12),\ldots$
6.15-1.0.5-15-15.1	$6$	$0$	$C_{15}$	$15$	$0$	$[ 0; 5, 15, 15 ]$			$(1,2,3,4,5)(6,7,8,9,10)(11,12,13,14,15),\ldots$
6.15-1.0.5-15-15.11	$6$	$0$	$C_{15}$	$15$	$0$	$[ 0; 5, 15, 15 ]$			$(1,5,4,3,2)(6,10,9,8,7)(11,15,14,13,12),\ldots$