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
4.16-9.0.4-4-8.1	$4$	$0$	$Q_{16}$	$16$	$0$	$[ 0; 4, 4, 8 ]$			$(1,5,2,6)(3,8,4,7)(9,13,10,14)(11,16,12,15),\ldots$
4.16-9.0.4-4-8.2	$4$	$0$	$Q_{16}$	$16$	$0$	$[ 0; 4, 4, 8 ]$			$(1,5,2,6)(3,8,4,7)(9,13,10,14)(11,16,12,15),\ldots$