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Properties

Label 10.216-92.0.2-3-12.2
Genus \(10\)
Quotient genus \(0\)
Group \(C_3^2:S_4\)
Signature \([ 0; 2, 3, 12 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $10$
Quotient genus: $0$
Group name: $C_3^2:S_4$
Group identifier: $[216,92]$
Signature: $[ 0; 2, 3, 12 ]$
Conjugacy classes for this refined passport: $3, 9, 18$

Jacobian variety group algebra decomposition:$E\times E^{3}\times E^{6}$
Corresponding character(s): $5, 14, 18$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

10.216-92.0.2-3-12.2.1

  (1,109) (2,111) (3,110) (4,112) (5,117) (6,119) (7,118) (8,120) (9,113) (10,115) (11,114) (12,116) (13,133) (14,135) (15,134) (16,136) (17,141) (18,143) (19,142) (20,144) (21,137) (22,139) (23,138) (24,140) (25,121) (26,123) (27,122) (28,124) (29,129) (30,131) (31,130) (32,132) (33,125) (34,127) (35,126) (36,128) (37,145) (38,147) (39,146) (40,148) (41,153) (42,155) (43,154) (44,156) (45,149) (46,151) (47,150) (48,152) (49,169) (50,171) (51,170) (52,172) (53,177) (54,179) (55,178) (56,180) (57,173) (58,175) (59,174) (60,176) (61,157) (62,159) (63,158) (64,160) (65,165) (66,167) (67,166) (68,168) (69,161) (70,163) (71,162) (72,164) (73,181) (74,183) (75,182) (76,184) (77,189) (78,191) (79,190) (80,192) (81,185) (82,187) (83,186) (84,188) (85,205) (86,207) (87,206) (88,208) (89,213) (90,215) (91,214) (92,216) (93,209) (94,211) (95,210) (96,212) (97,193) (98,195) (99,194) (100,196) (101,201) (102,203) (103,202) (104,204) (105,197) (106,199) (107,198) (108,200)
  (1,104,51) (2,102,50) (3,101,52) (4,103,49) (5,108,55) (6,106,54) (7,105,56) (8,107,53) (9,100,59) (10,98,58) (11,97,60) (12,99,57) (13,76,67) (14,74,66) (15,73,68) (16,75,65) (17,80,71) (18,78,70) (19,77,72) (20,79,69) (21,84,63) (22,82,62) (23,81,64) (24,83,61) (25,96,47) (26,94,46) (27,93,48) (28,95,45) (29,88,39) (30,86,38) (31,85,40) (32,87,37) (33,92,43) (34,90,42) (35,89,44) (36,91,41) (109,212,159) (110,210,158) (111,209,160) (112,211,157) (113,216,163) (114,214,162) (115,213,164) (116,215,161) (117,208,167) (118,206,166) (119,205,168) (120,207,165) (121,184,175) (122,182,174) (123,181,176) (124,183,173) (125,188,179) (126,186,178) (127,185,180) (128,187,177) (129,192,171) (130,190,170) (131,189,172) (132,191,169) (133,204,155) (134,202,154) (135,201,156) (136,203,153) (137,196,147) (138,194,146) (139,193,148) (140,195,145) (141,200,151) (142,198,150) (143,197,152) (144,199,149)
  (1,170,79,144,45,210,3,172,77,142,47,212) (2,171,80,141,46,211,4,169,78,143,48,209) (5,178,83,140,37,206,7,180,81,138,39,208) (6,179,84,137,38,207,8,177,82,139,40,205) (9,174,75,136,41,214,11,176,73,134,43,216) (10,175,76,133,42,215,12,173,74,135,44,213) (13,166,87,132,49,202,15,168,85,130,51,204) (14,167,88,129,50,203,16,165,86,131,52,201) (17,162,91,128,53,198,19,164,89,126,55,200) (18,163,92,125,54,199,20,161,90,127,56,197) (21,158,95,124,57,194,23,160,93,122,59,196) (22,159,96,121,58,195,24,157,94,123,60,193) (25,150,107,120,65,182,27,152,105,118,67,184) (26,151,108,117,66,183,28,149,106,119,68,181) (29,146,99,116,69,190,31,148,97,114,71,192) (30,147,100,113,70,191,32,145,98,115,72,189) (33,154,103,112,61,186,35,156,101,110,63,188) (34,155,104,109,62,187,36,153,102,111,64,185)