Properties

Genus \(5\)
Small Group \(C_2^2.GL(2,3)\)
Signature \([ 0; 2, 3, 8 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 5
Group name: $C_2^2.GL(2,3)$
Group identifier: [192,181]
Signature: $[ 0; 2, 3, 8 ]$
Conjugacy classes for this refined passport: 5, 6, 13

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.

5.192-181.0.2-3-8.2.1

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