Family of higher genus curves with automorphisms search results

Results (displaying both matches)

 

Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Hyperelliptic	Cyclic trigonal	Generating vectors
6.16-7.0.2-2-4-8.2	$6$	$0$	$D_8$	$16$	$1$	$[ 0; 2, 2, 4, 8 ]$			$(1,5)(2,6)(3,8)(4,7)(9,13)(10,14)(11,16)(12,15),\ldots$
6.16-7.0.2-2-4-8.1	$6$	$0$	$D_8$	$16$	$1$	$[ 0; 2, 2, 4, 8 ]$			$(1,5)(2,6)(3,8)(4,7)(9,13)(10,14)(11,16)(12,15),\ldots$