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
12.16-8.0.2-2-4-4-8.1	$12$	$0$	$\SD_{16}$	$16$	$2$	$[ 0; 2, 2, 4, 4, 8 ]$			$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
12.16-8.0.2-2-4-4-8.2	$12$	$0$	$\SD_{16}$	$16$	$2$	$[ 0; 2, 2, 4, 4, 8 ]$			$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$