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Properties

Label 10.162-14.0.2-3-18.2
Genus \(10\)
Quotient genus \(0\)
Group \(\He_3.C_6\)
Signature \([ 0; 2, 3, 18 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $10$
Quotient genus: $0$
Group name: $\He_3.C_6$
Group identifier: $[162,14]$
Signature: $[ 0; 2, 3, 18 ]$
Conjugacy classes for this refined passport: $2, 7, 20$

Jacobian variety group algebra decomposition:$E\times A_{3}^{3}$
Corresponding character(s): $5, 10$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

10.162-14.0.2-3-18.2.1

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