Family of higher genus curves with automorphisms search results

Results (8 matches)

 

Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Hyperelliptic	Cyclic trigonal	Generating vectors
6.16-1.0.4-16-16.3	$6$	$0$	$C_{16}$	$16$	$0$	$[ 0; 4, 16, 16 ]$			$(1,3,2,4)(5,7,6,8)(9,11,10,12)(13,15,14,16),\ldots$
6.16-1.0.4-16-16.4	$6$	$0$	$C_{16}$	$16$	$0$	$[ 0; 4, 16, 16 ]$			$(1,3,2,4)(5,7,6,8)(9,11,10,12)(13,15,14,16),\ldots$
6.16-1.0.4-16-16.5	$6$	$0$	$C_{16}$	$16$	$0$	$[ 0; 4, 16, 16 ]$			$(1,4,2,3)(5,8,6,7)(9,12,10,11)(13,16,14,15),\ldots$
6.16-1.0.4-16-16.7	$6$	$0$	$C_{16}$	$16$	$0$	$[ 0; 4, 16, 16 ]$			$(1,4,2,3)(5,8,6,7)(9,12,10,11)(13,16,14,15),\ldots$
6.16-1.0.4-16-16.8	$6$	$0$	$C_{16}$	$16$	$0$	$[ 0; 4, 16, 16 ]$			$(1,4,2,3)(5,8,6,7)(9,12,10,11)(13,16,14,15),\ldots$
6.16-1.0.4-16-16.6	$6$	$0$	$C_{16}$	$16$	$0$	$[ 0; 4, 16, 16 ]$			$(1,4,2,3)(5,8,6,7)(9,12,10,11)(13,16,14,15),\ldots$
6.16-1.0.4-16-16.1	$6$	$0$	$C_{16}$	$16$	$0$	$[ 0; 4, 16, 16 ]$			$(1,3,2,4)(5,7,6,8)(9,11,10,12)(13,15,14,16),\ldots$
6.16-1.0.4-16-16.2	$6$	$0$	$C_{16}$	$16$	$0$	$[ 0; 4, 16, 16 ]$			$(1,3,2,4)(5,7,6,8)(9,11,10,12)(13,15,14,16),\ldots$