Properties

Genus \(15\)
Quotient Genus \(0\)
Group \(C_4.D_4:C_4\)
Signature \([ 0; 2, 4, 32 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 15
Quotient Genus: 0
Group name: $C_4.D_4:C_4$
Group identifier: [128,150]
Signature: $[ 0; 2, 4, 32 ]$
Conjugacy classes for this refined passport: 4, 8, 20

Jacobian variety group algebra decomposition:$E\times E^{2}\times A_{2}^{2}\times A_{2}^{4}$
Corresponding character(s): 5, 11, 15, 23

Other Data

Hyperelliptic curve(s):No
Cyclic trigonal curve(s):No

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

15.128-150.0.2-4-32.1.1

  (1,33) (2,34) (3,36) (4,35) (5,39) (6,40) (7,37) (8,38) (9,42) (10,41) (11,43) (12,44) (13,48) (14,47) (15,46) (16,45) (17,54) (18,53) (19,55) (20,56) (21,50) (22,49) (23,51) (24,52) (25,61) (26,62) (27,64) (28,63) (29,57) (30,58) (31,60) (32,59) (65,97) (66,98) (67,100) (68,99) (69,103) (70,104) (71,101) (72,102) (73,106) (74,105) (75,107) (76,108) (77,112) (78,111) (79,110) (80,109) (81,118) (82,117) (83,119) (84,120) (85,114) (86,113) (87,115) (88,116) (89,125) (90,126) (91,128) (92,127) (93,121) (94,122) (95,124) (96,123)
  (1,69,9,77) (2,70,10,78) (3,72,11,80) (4,71,12,79) (5,65,13,73) (6,66,14,74) (7,68,15,76) (8,67,16,75) (17,84,25,92) (18,83,26,91) (19,82,27,90) (20,81,28,89) (21,85,29,93) (22,86,30,94) (23,88,31,96) (24,87,32,95) (33,117,41,125) (34,118,42,126) (35,120,43,128) (36,119,44,127) (37,113,45,121) (38,114,46,122) (39,116,47,124) (40,115,48,123) (49,102,57,110) (50,101,58,109) (51,103,59,111) (52,104,60,112) (53,98,61,106) (54,97,62,105) (55,99,63,107) (56,100,64,108)
  (1,112,31,116,5,106,25,120,4,110,29,114,8,107,28,118,2,111,32,115,6,105,26,119,3,109,30,113,7,108,27,117) (9,103,23,123,13,97,17,127,12,101,21,121,16,100,20,125,10,104,24,124,14,98,18,128,11,102,22,122,15,99,19,126) (33,89,63,68,37,93,57,72,36,92,61,66,40,96,60,70,34,90,64,67,38,94,58,71,35,91,62,65,39,95,59,69) (41,82,55,75,45,86,49,79,44,83,53,73,48,87,52,77,42,81,56,76,46,85,50,80,43,84,54,74,47,88,51,78)