Properties

Label 14.156-8.0.2-6-6.2
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: $3, 8, 11$

Jacobian variety group algebra decomposition:$E\times E\times A_{2}^{6}$
Corresponding character(s): $6, 9, 14$

Other Data

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

Generating vector(s)

Displaying 2 of 2 generating vectors for this refined passport.

14.156-8.0.2-6-6.2.1

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

14.156-8.0.2-6-6.2.2
  (1,79) (2,91) (3,90) (4,89) (5,88) (6,87) (7,86) (8,85) (9,84) (10,83) (11,82) (12,81) (13,80) (14,92) (15,104) (16,103) (17,102) (18,101) (19,100) (20,99) (21,98) (22,97) (23,96) (24,95) (25,94) (26,93) (27,105) (28,117) (29,116) (30,115) (31,114) (32,113) (33,112) (34,111) (35,110) (36,109) (37,108) (38,107) (39,106) (40,118) (41,130) (42,129) (43,128) (44,127) (45,126) (46,125) (47,124) (48,123) (49,122) (50,121) (51,120) (52,119) (53,131) (54,143) (55,142) (56,141) (57,140) (58,139) (59,138) (60,137) (61,136) (62,135) (63,134) (64,133) (65,132) (66,144) (67,156) (68,155) (69,154) (70,153) (71,152) (72,151) (73,150) (74,149) (75,148) (76,147) (77,146) (78,145)
  (1,76,23,40,37,62) (2,72,26,41,33,65) (3,68,16,42,29,55) (4,77,19,43,38,58) (5,73,22,44,34,61) (6,69,25,45,30,64) (7,78,15,46,39,54) (8,74,18,47,35,57) (9,70,21,48,31,60) (10,66,24,49,27,63) (11,75,14,50,36,53) (12,71,17,51,32,56) (13,67,20,52,28,59) (79,154,101,118,115,140) (80,150,104,119,111,143) (81,146,94,120,107,133) (82,155,97,121,116,136) (83,151,100,122,112,139) (84,147,103,123,108,142) (85,156,93,124,117,132) (86,152,96,125,113,135) (87,148,99,126,109,138) (88,144,102,127,105,141) (89,153,92,128,114,131) (90,149,95,129,110,134) (91,145,98,130,106,137)
  (1,135,32,120,25,154) (2,132,28,119,15,145) (3,142,37,118,18,149) (4,139,33,130,21,153) (5,136,29,129,24,144) (6,133,38,128,14,148) (7,143,34,127,17,152) (8,140,30,126,20,156) (9,137,39,125,23,147) (10,134,35,124,26,151) (11,131,31,123,16,155) (12,141,27,122,19,146) (13,138,36,121,22,150) (40,96,71,81,64,115) (41,93,67,80,54,106) (42,103,76,79,57,110) (43,100,72,91,60,114) (44,97,68,90,63,105) (45,94,77,89,53,109) (46,104,73,88,56,113) (47,101,69,87,59,117) (48,98,78,86,62,108) (49,95,74,85,65,112) (50,92,70,84,55,116) (51,102,66,83,58,107) (52,99,75,82,61,111)

Display number of generating vectors: