Properties

Genus \(10\)
Quotient Genus \(0\)
Group \(\PSL(2,7)\)
Signature \([ 0; 2, 4, 7 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 10
Quotient Genus: 0
Group name: $\PSL(2,7)$
Group identifier: [168,42]
Signature: $[ 0; 2, 4, 7 ]$
Conjugacy classes for this refined passport: 2, 4, 5

Jacobian variety group algebra decomposition:$E^{3}\times E^{7}$
Corresponding character(s): 2, 5

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

10.168-42.0.2-4-7.1.1

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