Properties

Genus \(15\)
Quotient Genus \(0\)
Group \(C_7\times D_7\)
Signature \([ 0; 2, 7, 14 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 15
Quotient Genus: 0
Group name: $C_7\times D_7$
Group identifier: [98,3]
Signature: $[ 0; 2, 7, 14 ]$
Conjugacy classes for this refined passport: 2, 12, 35

The full automorphism group for this family is $C_7^2:S_3$ with signature $[ 0; 2, 3, 14 ]$.

Jacobian variety group algebra decomposition:$A_{3}\times A_{3}^{2}\times A_{3}^{2}$
Corresponding character(s): 3, 15, 20

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

15.98-3.0.2-7-14.1.1

  (1,50) (2,56) (3,55) (4,54) (5,53) (6,52) (7,51) (8,57) (9,63) (10,62) (11,61) (12,60) (13,59) (14,58) (15,64) (16,70) (17,69) (18,68) (19,67) (20,66) (21,65) (22,71) (23,77) (24,76) (25,75) (26,74) (27,73) (28,72) (29,78) (30,84) (31,83) (32,82) (33,81) (34,80) (35,79) (36,85) (37,91) (38,90) (39,89) (40,88) (41,87) (42,86) (43,92) (44,98) (45,97) (46,96) (47,95) (48,94) (49,93)
  (1,9,17,25,33,41,49) (2,10,18,26,34,42,43) (3,11,19,27,35,36,44) (4,12,20,28,29,37,45) (5,13,21,22,30,38,46) (6,14,15,23,31,39,47) (7,8,16,24,32,40,48) (50,58,66,74,82,90,98) (51,59,67,75,83,91,92) (52,60,68,76,84,85,93) (53,61,69,77,78,86,94) (54,62,70,71,79,87,95) (55,63,64,72,80,88,96) (56,57,65,73,81,89,97)
  (1,93,36,79,22,65,8,51,43,86,29,72,15,58) (2,92,37,78,23,64,9,50,44,85,30,71,16,57) (3,98,38,84,24,70,10,56,45,91,31,77,17,63) (4,97,39,83,25,69,11,55,46,90,32,76,18,62) (5,96,40,82,26,68,12,54,47,89,33,75,19,61) (6,95,41,81,27,67,13,53,48,88,34,74,20,60) (7,94,42,80,28,66,14,52,49,87,35,73,21,59)