Family of higher genus curves with automorphisms search results

Results (27 matches)

 

Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Hyperelliptic	Cyclic trigonal	Generating vectors
13.16-12.0.2-4-4-4-4.1	$13$	$0$	$C_2\times Q_8$	$16$	$2$	$[ 0; 2, 4, 4, 4, 4 ]$			$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
13.16-12.0.2-4-4-4-4.2	$13$	$0$	$C_2\times Q_8$	$16$	$2$	$[ 0; 2, 4, 4, 4, 4 ]$			$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
13.16-12.0.2-4-4-4-4.3	$13$	$0$	$C_2\times Q_8$	$16$	$2$	$[ 0; 2, 4, 4, 4, 4 ]$			$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
13.16-12.0.2-4-4-4-4.4	$13$	$0$	$C_2\times Q_8$	$16$	$2$	$[ 0; 2, 4, 4, 4, 4 ]$			$(1,3)(2,4)(5,7)(6,8)(9,11)(10,12)(13,15)(14,16),\ldots$
13.16-12.0.2-4-4-4-4.5	$13$	$0$	$C_2\times Q_8$	$16$	$2$	$[ 0; 2, 4, 4, 4, 4 ]$			$(1,3)(2,4)(5,7)(6,8)(9,11)(10,12)(13,15)(14,16),\ldots$
13.16-12.0.2-4-4-4-4.6	$13$	$0$	$C_2\times Q_8$	$16$	$2$	$[ 0; 2, 4, 4, 4, 4 ]$			$(1,3)(2,4)(5,7)(6,8)(9,11)(10,12)(13,15)(14,16),\ldots$
13.16-12.0.2-4-4-4-4.7	$13$	$0$	$C_2\times Q_8$	$16$	$2$	$[ 0; 2, 4, 4, 4, 4 ]$			$(1,3)(2,4)(5,7)(6,8)(9,11)(10,12)(13,15)(14,16),\ldots$
13.16-12.0.2-4-4-4-4.8	$13$	$0$	$C_2\times Q_8$	$16$	$2$	$[ 0; 2, 4, 4, 4, 4 ]$			$(1,3)(2,4)(5,7)(6,8)(9,11)(10,12)(13,15)(14,16),\ldots$
13.16-12.0.2-4-4-4-4.9	$13$	$0$	$C_2\times Q_8$	$16$	$2$	$[ 0; 2, 4, 4, 4, 4 ]$			$(1,3)(2,4)(5,7)(6,8)(9,11)(10,12)(13,15)(14,16),\ldots$
13.16-12.0.2-4-4-4-4.10	$13$	$0$	$C_2\times Q_8$	$16$	$2$	$[ 0; 2, 4, 4, 4, 4 ]$			$(1,3)(2,4)(5,7)(6,8)(9,11)(10,12)(13,15)(14,16),\ldots$
13.16-12.0.2-4-4-4-4.11	$13$	$0$	$C_2\times Q_8$	$16$	$2$	$[ 0; 2, 4, 4, 4, 4 ]$			$(1,3)(2,4)(5,7)(6,8)(9,11)(10,12)(13,15)(14,16),\ldots$
13.16-12.0.2-4-4-4-4.12	$13$	$0$	$C_2\times Q_8$	$16$	$2$	$[ 0; 2, 4, 4, 4, 4 ]$			$(1,3)(2,4)(5,7)(6,8)(9,11)(10,12)(13,15)(14,16),\ldots$
13.16-12.0.2-4-4-4-4.13	$13$	$0$	$C_2\times Q_8$	$16$	$2$	$[ 0; 2, 4, 4, 4, 4 ]$			$(1,3)(2,4)(5,7)(6,8)(9,11)(10,12)(13,15)(14,16),\ldots$
13.16-12.0.2-4-4-4-4.14	$13$	$0$	$C_2\times Q_8$	$16$	$2$	$[ 0; 2, 4, 4, 4, 4 ]$			$(1,3)(2,4)(5,7)(6,8)(9,11)(10,12)(13,15)(14,16),\ldots$
13.16-12.0.2-4-4-4-4.15	$13$	$0$	$C_2\times Q_8$	$16$	$2$	$[ 0; 2, 4, 4, 4, 4 ]$			$(1,3)(2,4)(5,7)(6,8)(9,11)(10,12)(13,15)(14,16),\ldots$
13.16-12.0.2-4-4-4-4.16	$13$	$0$	$C_2\times Q_8$	$16$	$2$	$[ 0; 2, 4, 4, 4, 4 ]$			$(1,4)(2,3)(5,8)(6,7)(9,12)(10,11)(13,16)(14,15),\ldots$
13.16-12.0.2-4-4-4-4.17	$13$	$0$	$C_2\times Q_8$	$16$	$2$	$[ 0; 2, 4, 4, 4, 4 ]$			$(1,4)(2,3)(5,8)(6,7)(9,12)(10,11)(13,16)(14,15),\ldots$
13.16-12.0.2-4-4-4-4.18	$13$	$0$	$C_2\times Q_8$	$16$	$2$	$[ 0; 2, 4, 4, 4, 4 ]$			$(1,4)(2,3)(5,8)(6,7)(9,12)(10,11)(13,16)(14,15),\ldots$
13.16-12.0.2-4-4-4-4.19	$13$	$0$	$C_2\times Q_8$	$16$	$2$	$[ 0; 2, 4, 4, 4, 4 ]$			$(1,4)(2,3)(5,8)(6,7)(9,12)(10,11)(13,16)(14,15),\ldots$
13.16-12.0.2-4-4-4-4.20	$13$	$0$	$C_2\times Q_8$	$16$	$2$	$[ 0; 2, 4, 4, 4, 4 ]$			$(1,4)(2,3)(5,8)(6,7)(9,12)(10,11)(13,16)(14,15),\ldots$
13.16-12.0.2-4-4-4-4.21	$13$	$0$	$C_2\times Q_8$	$16$	$2$	$[ 0; 2, 4, 4, 4, 4 ]$			$(1,4)(2,3)(5,8)(6,7)(9,12)(10,11)(13,16)(14,15),\ldots$
13.16-12.0.2-4-4-4-4.22	$13$	$0$	$C_2\times Q_8$	$16$	$2$	$[ 0; 2, 4, 4, 4, 4 ]$			$(1,4)(2,3)(5,8)(6,7)(9,12)(10,11)(13,16)(14,15),\ldots$
13.16-12.0.2-4-4-4-4.23	$13$	$0$	$C_2\times Q_8$	$16$	$2$	$[ 0; 2, 4, 4, 4, 4 ]$			$(1,4)(2,3)(5,8)(6,7)(9,12)(10,11)(13,16)(14,15),\ldots$
13.16-12.0.2-4-4-4-4.24	$13$	$0$	$C_2\times Q_8$	$16$	$2$	$[ 0; 2, 4, 4, 4, 4 ]$			$(1,4)(2,3)(5,8)(6,7)(9,12)(10,11)(13,16)(14,15),\ldots$
13.16-12.0.2-4-4-4-4.25	$13$	$0$	$C_2\times Q_8$	$16$	$2$	$[ 0; 2, 4, 4, 4, 4 ]$			$(1,4)(2,3)(5,8)(6,7)(9,12)(10,11)(13,16)(14,15),\ldots$
13.16-12.0.2-4-4-4-4.26	$13$	$0$	$C_2\times Q_8$	$16$	$2$	$[ 0; 2, 4, 4, 4, 4 ]$			$(1,4)(2,3)(5,8)(6,7)(9,12)(10,11)(13,16)(14,15),\ldots$
13.16-12.0.2-4-4-4-4.27	$13$	$0$	$C_2\times Q_8$	$16$	$2$	$[ 0; 2, 4, 4, 4, 4 ]$			$(1,4)(2,3)(5,8)(6,7)(9,12)(10,11)(13,16)(14,15),\ldots$