Properties

Genus \(10\)
Quotient Genus \(0\)
Group \(A_6\)
Signature \([ 0; 2, 4, 5 ]\)
Generating Vectors \(2\)

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Family Information

Genus: 10
Quotient Genus: 0
Group name: $A_6$
Group identifier: [360,118]
Signature: $[ 0; 2, 4, 5 ]$
Conjugacy classes for this refined passport: 2, 5, 6

Jacobian variety group algebra decomposition:$E^{10}$
Corresponding character(s): 7

Other Data

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

Generating Vector(s)

Displaying 2 of 2 generating vectors for this refined passport.

10.360-118.0.2-4-5.1.1

  (1,283) (2,71) (3,192) (4,220) (5,134) (6,357) (7,157) (8,317) (9,228) (10,274) (11,32) (12,93) (13,211) (14,245) (15,54) (16,268) (17,308) (18,279) (19,175) (20,143) (21,360) (22,322) (23,260) (24,75) (25,169) (26,209) (27,336) (28,136) (29,116) (30,351) (31,343) (33,282) (34,130) (35,314) (36,207) (37,247) (38,227) (39,138) (40,334) (41,62) (42,153) (43,121) (44,95) (45,84) (46,118) (47,218) (48,339) (49,265) (50,323) (51,210) (52,232) (53,110) (55,259) (56,299) (57,186) (58,316) (59,176) (60,201) (61,193) (63,342) (64,310) (65,224) (66,297) (67,97) (68,137) (69,318) (70,184) (72,243) (73,301) (74,155) (76,178) (77,128) (78,189) (79,115) (80,233) (81,300) (82,142) (83,170) (85,109) (86,359) (87,276) (88,226) (89,266) (90,291) (91,253) (92,221) (94,160) (96,147) (98,287) (99,168) (100,244) (101,332) (102,183) (103,151) (104,305) (105,354) (106,328) (107,278) (108,249) (111,150) (112,292) (113,320) (114,225) (117,126) (119,206) (120,141) (122,191) (123,312) (124,340) (125,254) (127,277) (129,348) (131,152) (132,213) (133,331) (135,174) (139,295) (140,263) (144,195) (145,289) (146,329) (148,256) (149,236) (154,250) (156,327) (158,347) (159,258) (161,182) (162,273) (163,241) (164,215) (165,204) (166,238) (167,338) (171,330) (172,352) (173,230) (177,306) (179,296) (180,321) (181,313) (185,344) (187,217) (188,257) (190,304) (194,275) (196,298) (197,248) (198,309) (199,235) (200,353) (202,262) (203,290) (205,229) (208,346) (212,341) (214,280) (216,267) (219,288) (222,303) (223,271) (231,270) (234,345) (237,246) (239,326) (240,261) (242,311) (251,272) (252,333) (255,294) (264,315) (269,356) (281,302) (284,335) (285,324) (286,358) (293,350) (307,337) (319,355) (325,349)
  (1,216,217,18) (2,135,358,227) (3,244,269,68) (4,29,188,123) (5,80,171,46) (6,7,288,271) (8,33,94,119) (9,70,221,314) (10,131,224,39) (11,104,279,250) (12,139,162,79) (13,354,265,330) (14,309,280,191) (15,238,107,242) (16,65,50,111) (17,272,195,88) (19,42,319,252) (20,261,76,35) (21,196,155,140) (22,203,356,87) (23,146,237,112) (24,205,180,343) (25,90,133,114) (26,117,352,263) (27,52,293,206) (28,47,332,285) (30,313,174,55) (31,126,127,48) (32,315,208,137) (34,59,278,303) (36,37,348,331) (38,63,154,179) (40,311,134,69) (41,164,339,100) (43,204,115,240) (44,219,340,281) (45,148,167,92) (49,72,229,102) (51,286,245,320) (53,326,147,172) (54,295,270,193) (56,177,202,113) (57,82,353,296) (58,77,182,345) (60,223,264,85) (61,306,307,78) (62,225,298,317) (64,89,338,213) (66,67,198,181) (71,254,189,160) (73,294,175,150) (74,129,190,341) (75,328,257,152) (81,346,95,230) (83,236,327,262) (84,355,120,283) (86,267,292,173) (91,156,157,108) (93,304,329,218) (96,97,258,241) (98,333,184,209) (99,220,161,284) (101,194,249,310) (103,144,325,300) (105,178,197,302) (106,215,350,201) (109,342,289,312) (110,321,226,335) (116,207,142,323) (118,347,122,255) (121,336,337,138) (124,149,308,243) (125,200,291,166) (128,153,214,239) (130,251,344,159) (132,259,282,199) (136,185,170,231) (141,316,275,260) (143,266,357,232) (145,210,253,234) (151,246,247,168) (158,183,274,299) (163,324,235,360) (165,268,287,212) (169,192,349,222) (176,297,322,233) (186,187,318,301) (211,276,277,228) (248,273,334,359) (256,305,290,351)
  (1,279,305,148,84) (2,38,296,200,254) (3,137,346,300,349) (4,312,145,345,161) (5,118,294,301,69) (6,223,201,293,232) (7,357,89,310,108) (8,206,350,164,62) (9,35,178,354,211) (10,138,307,177,299) (11,154,342,85,315) (12,115,165,341,304) (13,171,233,22,276) (14,122,158,56,320) (15,311,334,162,295) (16,150,19,333,287) (17,226,180,229,243) (18,187,57,179,250) (20,314,92,338,266) (21,263,172,96,163) (23,292,216,283,141) (24,31,339,215,328) (25,225,41,244,192) (26,140,74,212,98) (27,119,160,78,337) (28,324,241,159,185) (29,220,168,37,207) (30,259,213,167,256) (32,68,356,290,104) (33,317,196,360,199) (34,222,325,195,251) (36,133,291,353,142) (39,65,268,204,121) (40,318,217,267,359) (42,175,255,191,214) (43,261,143,52,336) (44,302,248,86,230) (45,221,184,252,355) (46,330,49,183,347) (47,136,270,139,93) (48,277,87,269,100) (50,224,152,188,116) (51,113,262,156,253) (53,352,126,343,321) (54,61,189,125,238) (55,135,71,94,282) (58,234,91,249,275) (59,130,258,67,297) (60,109,123,257,106) (63,227,286,210,289) (64,132,235,285,101) (66,313,351,203,322) (70,228,127,117,209) (72,265,105,281,124) (73,111,323,82,186) (75,131,274,102,205) (76,240,79,273,197) (77,316,120,319,153) (80,134,242,278,176) (81,173,112,246,103) (83,202,306,193,231) (88,144,151,99,335) (90,169,303,107,166) (95,208,264,271,219) (97,147,239,280,198) (110,284,182,128,326) (114,331,129,155,298) (146,260,194,332,218) (149,340,288,157,327) (170,344,272,308,236) (174,181,309,245,358) (190,348,247,237,329)

10.360-118.0.2-4-5.1.2
  (1,283) (2,71) (3,192) (4,220) (5,134) (6,357) (7,157) (8,317) (9,228) (10,274) (11,32) (12,93) (13,211) (14,245) (15,54) (16,268) (17,308) (18,279) (19,175) (20,143) (21,360) (22,322) (23,260) (24,75) (25,169) (26,209) (27,336) (28,136) (29,116) (30,351) (31,343) (33,282) (34,130) (35,314) (36,207) (37,247) (38,227) (39,138) (40,334) (41,62) (42,153) (43,121) (44,95) (45,84) (46,118) (47,218) (48,339) (49,265) (50,323) (51,210) (52,232) (53,110) (55,259) (56,299) (57,186) (58,316) (59,176) (60,201) (61,193) (63,342) (64,310) (65,224) (66,297) (67,97) (68,137) (69,318) (70,184) (72,243) (73,301) (74,155) (76,178) (77,128) (78,189) (79,115) (80,233) (81,300) (82,142) (83,170) (85,109) (86,359) (87,276) (88,226) (89,266) (90,291) (91,253) (92,221) (94,160) (96,147) (98,287) (99,168) (100,244) (101,332) (102,183) (103,151) (104,305) (105,354) (106,328) (107,278) (108,249) (111,150) (112,292) (113,320) (114,225) (117,126) (119,206) (120,141) (122,191) (123,312) (124,340) (125,254) (127,277) (129,348) (131,152) (132,213) (133,331) (135,174) (139,295) (140,263) (144,195) (145,289) (146,329) (148,256) (149,236) (154,250) (156,327) (158,347) (159,258) (161,182) (162,273) (163,241) (164,215) (165,204) (166,238) (167,338) (171,330) (172,352) (173,230) (177,306) (179,296) (180,321) (181,313) (185,344) (187,217) (188,257) (190,304) (194,275) (196,298) (197,248) (198,309) (199,235) (200,353) (202,262) (203,290) (205,229) (208,346) (212,341) (214,280) (216,267) (219,288) (222,303) (223,271) (231,270) (234,345) (237,246) (239,326) (240,261) (242,311) (251,272) (252,333) (255,294) (264,315) (269,356) (281,302) (284,335) (285,324) (286,358) (293,350) (307,337) (319,355) (325,349)
  (1,138,356,83) (2,17,187,126) (3,214,219,16) (4,9,286,273) (5,223,42,8) (6,242,257,67) (7,36,92,107) (10,141,160,81) (11,115,210,140) (12,68,65,313) (13,312,278,275) (14,329,49,114) (15,352,267,328) (18,236,323,241) (19,264,74,149) (20,251,355,90) (21,40,321,250) (22,207,178,345) (23,31,318,206) (24,194,269,139) (25,120,350,191) (26,113,331,288) (27,88,135,112) (28,315,172,57) (29,259,144,314) (30,50,101,205) (32,47,277,306) (33,124,129,46) (34,39,346,333) (35,133,72,38) (37,66,152,167) (41,175,300,320) (43,222,338,335) (44,239,79,174) (45,202,117,238) (48,146,233,91) (51,70,231,100) (52,297,268,195) (53,61,228,296) (54,284,119,319) (55,180,200,281) (56,173,181,348) (58,225,262,87) (59,109,324,224) (60,80,161,295) (62,77,337,216) (63,304,309,76) (64,69,196,183) (71,265,360,230) (73,132,188,185) (75,292,177,148) (78,326,143,151) (82,357,118,285) (84,344,179,229) (85,270,290,341) (86,263,271,198) (89,169,234,134) (93,154,159,106) (94,99,256,243) (95,163,342,98) (96,302,317,217) (97,336,182,197) (102,218,215,283) (103,282,248,245) (104,299,349,204) (105,142,327,298) (108,176,293,301) (110,311,145,240) (111,340,291,310) (116,203,121,258) (122,137,307,246) (123,334,339,136) (125,343,162,128) (127,156,212,227) (130,261,280,201) (131,235,330,260) (147,208,255,232) (150,170,221,325) (153,244,249,166) (155,253,192,158) (157,186,272,287) (164,359,199,294) (165,322,237,358) (168,266,353,211) (171,190,351,220) (184,189,316,303) (193,252,308,305) (209,289,354,254) (213,274,279,226) (247,276,332,347)
  (1,170,111,64,102) (2,117,262,114,265) (3,268,66,247,158) (4,162,31,260,171) (5,317,281,353,89) (6,97,248,33,118) (7,278,123,28,186) (8,153,238,126,217) (9,220,30,229,296) (10,300,19,236,279) (11,263,359,215,47) (12,181,230,21,154) (13,194,75,256,168) (14,225,316,78,103) (15,106,258,43,284) (16,288,133,314,195) (17,71,173,299,305) (18,163,44,135,226) (20,291,124,282,151) (22,234,25,122,237) (23,119,335,167,131) (24,295,182,27,292) (26,219,280,240,289) (29,35,227,341,203) (32,177,112,174,115) (34,252,61,110,261) (36,157,98,63,178) (37,338,303,58,276) (38,243,148,306,127) (39,130,60,139,356) (40,360,49,146,339) (41,113,209,125,77) (42,271,140,51,244) (45,166,108,73,344) (46,348,313,224,285) (48,253,74,315,136) (50,351,304,342,241) (52,144,55,302,147) (53,179,185,257,311) (54,355,272,57,352) (56,129,340,150,349) (59,65,137,191,293) (62,267,172,264,175) (67,188,213,88,336) (68,93,328,216,307) (69,310,90,319,206) (70,210,79,326,189) (72,331,320,81,94) (76,198,223,134,345) (80,201,214,192,91) (82,324,85,212,327) (83,269,275,107,221) (84,205,332,87,202) (86,309,190,330,199) (92,207,322,204,325) (95,287,251,143,239) (96,187,308,333,208) (99,160,120,169,266) (100,270,109,176,249) (101,323,149,155,347) (104,165,286,228,193) (105,196,318,343,254) (116,159,250,180,259) (121,290,231,184,222) (128,273,358,246,337) (132,301,350,141,274) (138,283,164,255,346) (142,354,145,242,357) (152,297,232,294,235) (156,277,218,183,298) (161,233,329,245,197) (200,321,334,312,211)

Display number of generating vectors: