Properties

Genus \(13\)
Quotient Genus \(0\)
Group \(A_4\times S_4\)
Signature \([ 0; 2, 3, 12 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 13
Quotient Genus: 0
Group name: $A_4\times S_4$
Group identifier: [288,1024]
Signature: $[ 0; 2, 3, 12 ]$
Conjugacy classes for this refined passport: 6, 10, 20

Jacobian variety group algebra decomposition:$E\times E^{3}\times E^{9}$
Corresponding character(s): 4, 15, 19

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

13.288-1024.0.2-3-12.1.1

  (1,157) (2,159) (3,158) (4,160) (5,165) (6,167) (7,166) (8,168) (9,161) (10,163) (11,162) (12,164) (13,145) (14,147) (15,146) (16,148) (17,153) (18,155) (19,154) (20,156) (21,149) (22,151) (23,150) (24,152) (25,181) (26,183) (27,182) (28,184) (29,189) (30,191) (31,190) (32,192) (33,185) (34,187) (35,186) (36,188) (37,169) (38,171) (39,170) (40,172) (41,177) (42,179) (43,178) (44,180) (45,173) (46,175) (47,174) (48,176) (49,205) (50,207) (51,206) (52,208) (53,213) (54,215) (55,214) (56,216) (57,209) (58,211) (59,210) (60,212) (61,193) (62,195) (63,194) (64,196) (65,201) (66,203) (67,202) (68,204) (69,197) (70,199) (71,198) (72,200) (73,229) (74,231) (75,230) (76,232) (77,237) (78,239) (79,238) (80,240) (81,233) (82,235) (83,234) (84,236) (85,217) (86,219) (87,218) (88,220) (89,225) (90,227) (91,226) (92,228) (93,221) (94,223) (95,222) (96,224) (97,253) (98,255) (99,254) (100,256) (101,261) (102,263) (103,262) (104,264) (105,257) (106,259) (107,258) (108,260) (109,241) (110,243) (111,242) (112,244) (113,249) (114,251) (115,250) (116,252) (117,245) (118,247) (119,246) (120,248) (121,277) (122,279) (123,278) (124,280) (125,285) (126,287) (127,286) (128,288) (129,281) (130,283) (131,282) (132,284) (133,265) (134,267) (135,266) (136,268) (137,273) (138,275) (139,274) (140,276) (141,269) (142,271) (143,270) (144,272)
  (1,55,108) (2,54,106) (3,56,105) (4,53,107) (5,59,100) (6,58,98) (7,60,97) (8,57,99) (9,51,104) (10,50,102) (11,52,101) (12,49,103) (13,79,144) (14,78,142) (15,80,141) (16,77,143) (17,83,136) (18,82,134) (19,84,133) (20,81,135) (21,75,140) (22,74,138) (23,76,137) (24,73,139) (25,91,120) (26,90,118) (27,92,117) (28,89,119) (29,95,112) (30,94,110) (31,96,109) (32,93,111) (33,87,116) (34,86,114) (35,88,113) (36,85,115) (37,67,132) (38,66,130) (39,68,129) (40,65,131) (41,71,124) (42,70,122) (43,72,121) (44,69,123) (45,63,128) (46,62,126) (47,64,125) (48,61,127) (145,199,252) (146,198,250) (147,200,249) (148,197,251) (149,203,244) (150,202,242) (151,204,241) (152,201,243) (153,195,248) (154,194,246) (155,196,245) (156,193,247) (157,223,288) (158,222,286) (159,224,285) (160,221,287) (161,227,280) (162,226,278) (163,228,277) (164,225,279) (165,219,284) (166,218,282) (167,220,281) (168,217,283) (169,235,264) (170,234,262) (171,236,261) (172,233,263) (173,239,256) (174,238,254) (175,240,253) (176,237,255) (177,231,260) (178,230,258) (179,232,257) (180,229,259) (181,211,276) (182,210,274) (183,212,273) (184,209,275) (185,215,268) (186,214,266) (187,216,265) (188,213,267) (189,207,272) (190,206,270) (191,208,269) (192,205,271)
  (1,260,74,151,109,224,2,259,73,152,110,223) (3,257,76,150,111,221,4,258,75,149,112,222) (5,256,78,147,113,220,6,255,77,148,114,219) (7,253,80,146,115,217,8,254,79,145,116,218) (9,264,82,155,117,228,10,263,81,156,118,227) (11,261,84,154,119,225,12,262,83,153,120,226) (13,272,50,163,121,200,14,271,49,164,122,199) (15,269,52,162,123,197,16,270,51,161,124,198) (17,268,54,159,125,196,18,267,53,160,126,195) (19,265,56,158,127,193,20,266,55,157,128,194) (21,276,58,167,129,204,22,275,57,168,130,203) (23,273,60,166,131,201,24,274,59,165,132,202) (25,248,62,175,97,212,26,247,61,176,98,211) (27,245,64,174,99,209,28,246,63,173,100,210) (29,244,66,171,101,208,30,243,65,172,102,207) (31,241,68,170,103,205,32,242,67,169,104,206) (33,252,70,179,105,216,34,251,69,180,106,215) (35,249,72,178,107,213,36,250,71,177,108,214) (37,284,86,187,133,236,38,283,85,188,134,235) (39,281,88,186,135,233,40,282,87,185,136,234) (41,280,90,183,137,232,42,279,89,184,138,231) (43,277,92,182,139,229,44,278,91,181,140,230) (45,288,94,191,141,240,46,287,93,192,142,239) (47,285,96,190,143,237,48,286,95,189,144,238)