Properties

Genus \(15\)
Quotient Genus \(0\)
Group \(SO(3,7)\)
Signature \([ 0; 2, 4, 6 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 15
Quotient Genus: 0
Group name: $SO(3,7)$
Group identifier: [336,208]
Signature: $[ 0; 2, 4, 6 ]$
Conjugacy classes for this refined passport: 3, 5, 6

Jacobian variety group algebra decomposition:$E^{7}\times E^{8}$
Corresponding character(s): 7, 8

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

15.336-208.0.2-4-6.1.1

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