Family of higher genus curves with automorphisms search results

Results (3 matches)

 

Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Hyperelliptic	Cyclic trigonal	Generating vectors
9.16-12.0.4-4-4-4.3	$9$	$0$	$C_2\times Q_8$	$16$	$1$	$[ 0; 4, 4, 4, 4 ]$			$(1,9,2,10)(3,11,4,12)(5,14,6,13)(7,16,8,15),\ldots$
9.16-12.0.4-4-4-4.1	$9$	$0$	$C_2\times Q_8$	$16$	$1$	$[ 0; 4, 4, 4, 4 ]$			$(1,5,2,6)(3,7,4,8)(9,13,10,14)(11,15,12,16),\ldots$
9.16-12.0.4-4-4-4.2	$9$	$0$	$C_2\times Q_8$	$16$	$1$	$[ 0; 4, 4, 4, 4 ]$			$(1,5,2,6)(3,7,4,8)(9,13,10,14)(11,15,12,16),\ldots$