Properties

Genus \(8\)
Small Group \(SO(3,7)\)
Signature \([ 0; 2, 3, 8 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 8
Group name: $SO(3,7)$
Group identifier: [336,208]
Signature: $[ 0; 2, 3, 8 ]$
Conjugacy classes for this refined passport: 3, 4, 8

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

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

8.336-208.0.2-3-8.1.1

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