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Properties

Label 5.192-181.0.2-3-8.4
Genus \(5\)
Quotient genus \(0\)
Group \(C_2^3.S_4\)
Signature \([ 0; 2, 3, 8 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $5$
Quotient genus: $0$
Group name: $C_2^3.S_4$
Group identifier: $[192,181]$
Signature: $[ 0; 2, 3, 8 ]$
Conjugacy classes for this refined passport: $5, 6, 15$

Jacobian variety group algebra decomposition:$E^{2}\times E^{3}$
Corresponding character(s): $4, 8$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

5.192-181.0.2-3-8.4.1

  (1,97) (2,98) (3,99) (4,100) (5,103) (6,104) (7,101) (8,102) (9,113) (10,114) (11,115) (12,116) (13,119) (14,120) (15,117) (16,118) (17,105) (18,106) (19,107) (20,108) (21,111) (22,112) (23,109) (24,110) (25,122) (26,121) (27,124) (28,123) (29,128) (30,127) (31,126) (32,125) (33,161) (34,162) (35,163) (36,164) (37,167) (38,168) (39,165) (40,166) (41,177) (42,178) (43,179) (44,180) (45,183) (46,184) (47,181) (48,182) (49,169) (50,170) (51,171) (52,172) (53,175) (54,176) (55,173) (56,174) (57,186) (58,185) (59,188) (60,187) (61,192) (62,191) (63,190) (64,189) (65,129) (66,130) (67,131) (68,132) (69,135) (70,136) (71,133) (72,134) (73,145) (74,146) (75,147) (76,148) (77,151) (78,152) (79,149) (80,150) (81,137) (82,138) (83,139) (84,140) (85,143) (86,144) (87,141) (88,142) (89,154) (90,153) (91,156) (92,155) (93,160) (94,159) (95,158) (96,157)
  (1,63,75) (2,64,76) (3,58,80) (4,57,79) (5,62,77) (6,61,78) (7,59,74) (8,60,73) (9,40,92) (10,39,91) (11,33,95) (12,34,96) (13,37,94) (14,38,93) (15,36,89) (16,35,90) (17,51,86) (18,52,85) (19,54,81) (20,53,82) (21,50,84) (22,49,83) (23,55,87) (24,56,88) (25,47,68) (26,48,67) (27,42,71) (28,41,72) (29,46,70) (30,45,69) (31,43,65) (32,44,66) (97,159,171) (98,160,172) (99,154,176) (100,153,175) (101,158,173) (102,157,174) (103,155,170) (104,156,169) (105,136,188) (106,135,187) (107,129,191) (108,130,192) (109,133,190) (110,134,189) (111,132,185) (112,131,186) (113,147,182) (114,148,181) (115,150,177) (116,149,178) (117,146,180) (118,145,179) (119,151,183) (120,152,184) (121,143,164) (122,144,163) (123,138,167) (124,137,168) (125,142,166) (126,141,165) (127,139,161) (128,140,162)
  (1,147,9,155,5,151,13,159) (2,148,10,156,6,152,14,160) (3,150,11,158,7,146,15,154) (4,149,12,157,8,145,16,153) (17,144,25,132,21,140,29,136) (18,143,26,131,22,139,30,135) (19,137,27,133,23,141,31,129) (20,138,28,134,24,142,32,130) (33,115,41,123,37,119,45,127) (34,116,42,124,38,120,46,128) (35,118,43,126,39,114,47,122) (36,117,44,125,40,113,48,121) (49,112,57,100,53,108,61,104) (50,111,58,99,54,107,62,103) (51,105,59,101,55,109,63,97) (52,106,60,102,56,110,64,98) (65,179,73,187,69,183,77,191) (66,180,74,188,70,184,78,192) (67,182,75,190,71,178,79,186) (68,181,76,189,72,177,80,185) (81,176,89,164,85,172,93,168) (82,175,90,163,86,171,94,167) (83,169,91,165,87,173,95,161) (84,170,92,166,88,174,96,162)