Family of higher genus curves with automorphisms search results

Note: Search results may be incomplete due to uncomputed quantities: hyperelliptic (6913 objects)

Results (1-50 of 123 matches)

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Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Hyperelliptic	Cyclic trigonal	Generating vectors
7.2-1.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.1	$7$	$0$	$C_2$	$2$	$13$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,2),\ldots$
7.4-1.0.2-2-2-2-2-2-2-4-4.1	$7$	$0$	$C_4$	$4$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$	✓		$(1,2)(3,4),\ldots$
7.4-1.0.2-2-2-2-2-2-2-4-4.2	$7$	$0$	$C_4$	$4$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$	✓		$(1,2)(3,4),\ldots$
7.4-2.0.2-2-2-2-2-2-2-2-2-2.14	$7$	$0$	$C_2^2$	$4$	$7$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,2)(3,4),\ldots$
7.4-2.0.2-2-2-2-2-2-2-2-2-2.1	$7$	$0$	$C_2^2$	$4$	$7$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,2)(3,4),\ldots$
7.4-2.0.2-2-2-2-2-2-2-2-2-2.15	$7$	$0$	$C_2^2$	$4$	$7$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,3)(2,4),\ldots$
7.4-2.0.2-2-2-2-2-2-2-2-2-2.2	$7$	$0$	$C_2^2$	$4$	$7$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,2)(3,4),\ldots$
7.4-2.0.2-2-2-2-2-2-2-2-2-2.10	$7$	$0$	$C_2^2$	$4$	$7$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,2)(3,4),\ldots$
7.4-2.0.2-2-2-2-2-2-2-2-2-2.18	$7$	$0$	$C_2^2$	$4$	$7$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,3)(2,4),\ldots$
7.6-2.0.2-2-2-2-2-3-6.2	$7$	$0$	$C_6$	$6$	$4$	$[ 0; 2, 2, 2, 2, 2, 3, 6 ]$	✓		$(1,4)(2,5)(3,6),\ldots$
7.6-2.0.2-2-2-2-2-3-6.1	$7$	$0$	$C_6$	$6$	$4$	$[ 0; 2, 2, 2, 2, 2, 3, 6 ]$	✓		$(1,4)(2,5)(3,6),\ldots$
7.8-2.0.2-2-2-2-4-4.1	$7$	$0$	$C_2\times C_4$	$8$	$3$	$[ 0; 2, 2, 2, 2, 4, 4 ]$	✓		$(1,2)(3,4)(5,6)(7,8),\ldots$
7.8-2.0.2-2-2-2-4-4.33	$7$	$0$	$C_2\times C_4$	$8$	$3$	$[ 0; 2, 2, 2, 2, 4, 4 ]$	✓		$(1,4)(2,3)(5,8)(6,7),\ldots$
7.8-2.0.2-2-2-2-4-4.22	$7$	$0$	$C_2\times C_4$	$8$	$3$	$[ 0; 2, 2, 2, 2, 4, 4 ]$	✓		$(1,3)(2,4)(5,7)(6,8),\ldots$
7.8-2.0.2-2-2-2-4-4.4	$7$	$0$	$C_2\times C_4$	$8$	$3$	$[ 0; 2, 2, 2, 2, 4, 4 ]$	✓		$(1,2)(3,4)(5,6)(7,8),\ldots$
7.8-2.0.2-2-2-2-4-4.2	$7$	$0$	$C_2\times C_4$	$8$	$3$	$[ 0; 2, 2, 2, 2, 4, 4 ]$	✓		$(1,2)(3,4)(5,6)(7,8),\ldots$
7.8-2.0.2-2-2-2-4-4.21	$7$	$0$	$C_2\times C_4$	$8$	$3$	$[ 0; 2, 2, 2, 2, 4, 4 ]$	✓		$(1,3)(2,4)(5,7)(6,8),\ldots$
7.8-2.0.2-2-2-2-4-4.3	$7$	$0$	$C_2\times C_4$	$8$	$3$	$[ 0; 2, 2, 2, 2, 4, 4 ]$	✓		$(1,2)(3,4)(5,6)(7,8),\ldots$
7.8-2.0.2-2-2-2-4-4.34	$7$	$0$	$C_2\times C_4$	$8$	$3$	$[ 0; 2, 2, 2, 2, 4, 4 ]$	✓		$(1,4)(2,3)(5,8)(6,7),\ldots$
7.8-5.0.2-2-2-2-2-2-2.142	$7$	$0$	$C_2^3$	$8$	$4$	$[ 0; 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,4)(2,3)(5,8)(6,7),\ldots$
7.8-5.0.2-2-2-2-2-2-2.41	$7$	$0$	$C_2^3$	$8$	$4$	$[ 0; 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,2)(3,4)(5,6)(7,8),\ldots$
7.8-5.0.2-2-2-2-2-2-2.93	$7$	$0$	$C_2^3$	$8$	$4$	$[ 0; 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,2)(3,4)(5,6)(7,8),\ldots$
7.8-5.0.2-2-2-2-2-2-2.61	$7$	$0$	$C_2^3$	$8$	$4$	$[ 0; 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,2)(3,4)(5,6)(7,8),\ldots$
7.8-5.0.2-2-2-2-2-2-2.69	$7$	$0$	$C_2^3$	$8$	$4$	$[ 0; 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,2)(3,4)(5,6)(7,8),\ldots$
7.8-5.0.2-2-2-2-2-2-2.71	$7$	$0$	$C_2^3$	$8$	$4$	$[ 0; 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,2)(3,4)(5,6)(7,8),\ldots$
7.8-5.0.2-2-2-2-2-2-2.155	$7$	$0$	$C_2^3$	$8$	$4$	$[ 0; 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,4)(2,3)(5,8)(6,7),\ldots$
7.8-5.0.2-2-2-2-2-2-2.73	$7$	$0$	$C_2^3$	$8$	$4$	$[ 0; 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,2)(3,4)(5,6)(7,8),\ldots$
7.8-5.0.2-2-2-2-2-2-2.148	$7$	$0$	$C_2^3$	$8$	$4$	$[ 0; 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,4)(2,3)(5,8)(6,7),\ldots$
7.8-5.0.2-2-2-2-2-2-2.97	$7$	$0$	$C_2^3$	$8$	$4$	$[ 0; 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,3)(2,4)(5,7)(6,8),\ldots$
7.8-5.0.2-2-2-2-2-2-2.136	$7$	$0$	$C_2^3$	$8$	$4$	$[ 0; 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,3)(2,4)(5,7)(6,8),\ldots$
7.8-5.0.2-2-2-2-2-2-2.1	$7$	$0$	$C_2^3$	$8$	$4$	$[ 0; 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,2)(3,4)(5,6)(7,8),\ldots$
7.8-5.0.2-2-2-2-2-2-2.4	$7$	$0$	$C_2^3$	$8$	$4$	$[ 0; 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,2)(3,4)(5,6)(7,8),\ldots$
7.8-5.0.2-2-2-2-2-2-2.151	$7$	$0$	$C_2^3$	$8$	$4$	$[ 0; 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,4)(2,3)(5,8)(6,7),\ldots$
7.8-5.0.2-2-2-2-2-2-2.42	$7$	$0$	$C_2^3$	$8$	$4$	$[ 0; 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,2)(3,4)(5,6)(7,8),\ldots$
7.8-5.0.2-2-2-2-2-2-2.124	$7$	$0$	$C_2^3$	$8$	$4$	$[ 0; 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,3)(2,4)(5,7)(6,8),\ldots$
7.8-5.0.2-2-2-2-2-2-2.92	$7$	$0$	$C_2^3$	$8$	$4$	$[ 0; 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,2)(3,4)(5,6)(7,8),\ldots$
7.8-5.0.2-2-2-2-2-2-2.96	$7$	$0$	$C_2^3$	$8$	$4$	$[ 0; 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,3)(2,4)(5,7)(6,8),\ldots$
7.8-5.0.2-2-2-2-2-2-2.90	$7$	$0$	$C_2^3$	$8$	$4$	$[ 0; 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,2)(3,4)(5,6)(7,8),\ldots$
7.8-5.0.2-2-2-2-2-2-2.114	$7$	$0$	$C_2^3$	$8$	$4$	$[ 0; 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,3)(2,4)(5,7)(6,8),\ldots$
7.8-5.0.2-2-2-2-2-2-2.72	$7$	$0$	$C_2^3$	$8$	$4$	$[ 0; 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,2)(3,4)(5,6)(7,8),\ldots$
7.8-5.0.2-2-2-2-2-2-2.66	$7$	$0$	$C_2^3$	$8$	$4$	$[ 0; 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,2)(3,4)(5,6)(7,8),\ldots$
7.8-5.0.2-2-2-2-2-2-2.82	$7$	$0$	$C_2^3$	$8$	$4$	$[ 0; 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,2)(3,4)(5,6)(7,8),\ldots$
7.8-5.0.2-2-2-2-2-2-2.115	$7$	$0$	$C_2^3$	$8$	$4$	$[ 0; 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,3)(2,4)(5,7)(6,8),\ldots$
7.8-5.0.2-2-2-2-2-2-2.134	$7$	$0$	$C_2^3$	$8$	$4$	$[ 0; 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,3)(2,4)(5,7)(6,8),\ldots$
7.8-5.0.2-2-2-2-2-2-2.3	$7$	$0$	$C_2^3$	$8$	$4$	$[ 0; 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,2)(3,4)(5,6)(7,8),\ldots$
7.8-5.0.2-2-2-2-2-2-2.2	$7$	$0$	$C_2^3$	$8$	$4$	$[ 0; 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,2)(3,4)(5,6)(7,8),\ldots$
7.8-5.0.2-2-2-2-2-2-2.130	$7$	$0$	$C_2^3$	$8$	$4$	$[ 0; 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,3)(2,4)(5,7)(6,8),\ldots$
7.10-2.0.2-2-2-5-10.1	$7$	$0$	$C_{10}$	$10$	$2$	$[ 0; 2, 2, 2, 5, 10 ]$	✓		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
7.10-2.0.2-2-2-5-10.4	$7$	$0$	$C_{10}$	$10$	$2$	$[ 0; 2, 2, 2, 5, 10 ]$	✓		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
7.10-2.0.2-2-2-5-10.2	$7$	$0$	$C_{10}$	$10$	$2$	$[ 0; 2, 2, 2, 5, 10 ]$	✓		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$

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