Properties

Label 14.156-8.0.2-6-6.3
Genus \(14\)
Quotient genus \(0\)
Group \(C_{26}:C_6\)
Signature \([ 0; 2, 6, 6 ]\)
Generating Vectors \(2\)

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Family Information

Genus: $14$
Quotient genus: $0$
Group name: $C_{26}:C_6$
Group identifier: $[156,8]$
Signature: $[ 0; 2, 6, 6 ]$
Conjugacy classes for this refined passport: $4, 7, 10$

Jacobian variety group algebra decomposition:$E\times E\times A_{2}^{6}$
Corresponding character(s): $5, 6, 14$

Other Data

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

Generating vector(s)

Displaying 2 of 2 generating vectors for this refined passport.

14.156-8.0.2-6-6.3.1

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

14.156-8.0.2-6-6.3.2
  (1,118) (2,130) (3,129) (4,128) (5,127) (6,126) (7,125) (8,124) (9,123) (10,122) (11,121) (12,120) (13,119) (14,131) (15,143) (16,142) (17,141) (18,140) (19,139) (20,138) (21,137) (22,136) (23,135) (24,134) (25,133) (26,132) (27,144) (28,156) (29,155) (30,154) (31,153) (32,152) (33,151) (34,150) (35,149) (36,148) (37,147) (38,146) (39,145) (40,79) (41,91) (42,90) (43,89) (44,88) (45,87) (46,86) (47,85) (48,84) (49,83) (50,82) (51,81) (52,80) (53,92) (54,104) (55,103) (56,102) (57,101) (58,100) (59,99) (60,98) (61,97) (62,96) (63,95) (64,94) (65,93) (66,105) (67,117) (68,116) (69,115) (70,114) (71,113) (72,112) (73,111) (74,110) (75,109) (76,108) (77,107) (78,106)
  (1,62,37,40,23,76) (2,65,33,41,26,72) (3,55,29,42,16,68) (4,58,38,43,19,77) (5,61,34,44,22,73) (6,64,30,45,25,69) (7,54,39,46,15,78) (8,57,35,47,18,74) (9,60,31,48,21,70) (10,63,27,49,24,66) (11,53,36,50,14,75) (12,56,32,51,17,71) (13,59,28,52,20,67) (79,140,115,118,101,154) (80,143,111,119,104,150) (81,133,107,120,94,146) (82,136,116,121,97,155) (83,139,112,122,100,151) (84,142,108,123,103,147) (85,132,117,124,93,156) (86,135,113,125,96,152) (87,138,109,126,99,148) (88,141,105,127,102,144) (89,131,114,128,92,153) (90,134,110,129,95,149) (91,137,106,130,98,145)
  (1,108,16,90,35,101) (2,112,19,89,31,98) (3,116,22,88,27,95) (4,107,25,87,36,92) (5,111,15,86,32,102) (6,115,18,85,28,99) (7,106,21,84,37,96) (8,110,24,83,33,93) (9,114,14,82,29,103) (10,105,17,81,38,100) (11,109,20,80,34,97) (12,113,23,79,30,94) (13,117,26,91,39,104) (40,147,55,129,74,140) (41,151,58,128,70,137) (42,155,61,127,66,134) (43,146,64,126,75,131) (44,150,54,125,71,141) (45,154,57,124,67,138) (46,145,60,123,76,135) (47,149,63,122,72,132) (48,153,53,121,68,142) (49,144,56,120,77,139) (50,148,59,119,73,136) (51,152,62,118,69,133) (52,156,65,130,78,143)

Display number of generating vectors: