Properties

Label 6.150-5.0.2-3-10.1
Genus \(6\)
Quotient genus \(0\)
Group \(C_5^2:S_3\)
Signature \([ 0; 2, 3, 10 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more

Family Information

Genus: $6$
Quotient genus: $0$
Group name: $C_5^2:S_3$
Group identifier: $[150,5]$
Signature: $[ 0; 2, 3, 10 ]$
Conjugacy classes for this refined passport: $2, 3, 10$

Jacobian variety group algebra decomposition:$A_{2}^{3}$
Corresponding character(s): $6$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

6.150-5.0.2-3-10.1.1

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