Properties

Genus \(15\)
Quotient Genus \(0\)
Group \(Q_8.F_7\)
Signature \([ 0; 2, 3, 12 ]\)
Generating Vectors \(3\)

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Family Information

Genus: 15
Quotient Genus: 0
Group name: $Q_8.F_7$
Group identifier: [336,134]
Signature: $[ 0; 2, 3, 12 ]$
Conjugacy classes for this refined passport: 3, 4, 13

Jacobian variety group algebra decomposition:$E\times E^{2}\times A_{2}^{6}$
Corresponding character(s): 4, 7, 19

Other Data

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

Generating Vector(s)

Displaying 3 of 3 generating vectors for this refined passport.

15.336-134.0.2-3-12.1.1

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

15.336-134.0.2-3-12.1.2
  (1,183) (2,184) (3,195) (4,196) (5,193) (6,194) (7,191) (8,192) (9,189) (10,190) (11,187) (12,188) (13,185) (14,186) (15,170) (16,169) (17,182) (18,181) (19,180) (20,179) (21,178) (22,177) (23,176) (24,175) (25,174) (26,173) (27,172) (28,171) (29,211) (30,212) (31,223) (32,224) (33,221) (34,222) (35,219) (36,220) (37,217) (38,218) (39,215) (40,216) (41,213) (42,214) (43,198) (44,197) (45,210) (46,209) (47,208) (48,207) (49,206) (50,205) (51,204) (52,203) (53,202) (54,201) (55,200) (56,199) (57,239) (58,240) (59,251) (60,252) (61,249) (62,250) (63,247) (64,248) (65,245) (66,246) (67,243) (68,244) (69,241) (70,242) (71,226) (72,225) (73,238) (74,237) (75,236) (76,235) (77,234) (78,233) (79,232) (80,231) (81,230) (82,229) (83,228) (84,227) (85,267) (86,268) (87,279) (88,280) (89,277) (90,278) (91,275) (92,276) (93,273) (94,274) (95,271) (96,272) (97,269) (98,270) (99,254) (100,253) (101,266) (102,265) (103,264) (104,263) (105,262) (106,261) (107,260) (108,259) (109,258) (110,257) (111,256) (112,255) (113,295) (114,296) (115,307) (116,308) (117,305) (118,306) (119,303) (120,304) (121,301) (122,302) (123,299) (124,300) (125,297) (126,298) (127,282) (128,281) (129,294) (130,293) (131,292) (132,291) (133,290) (134,289) (135,288) (136,287) (137,286) (138,285) (139,284) (140,283) (141,323) (142,324) (143,335) (144,336) (145,333) (146,334) (147,331) (148,332) (149,329) (150,330) (151,327) (152,328) (153,325) (154,326) (155,310) (156,309) (157,322) (158,321) (159,320) (160,319) (161,318) (162,317) (163,316) (164,315) (165,314) (166,313) (167,312) (168,311)
  (1,101,138) (2,102,137) (3,109,128) (4,110,127) (5,103,132) (6,104,131) (7,111,136) (8,112,135) (9,105,140) (10,106,139) (11,99,130) (12,100,129) (13,107,134) (14,108,133) (15,60,166) (16,59,165) (17,68,156) (18,67,155) (19,62,160) (20,61,159) (21,70,164) (22,69,163) (23,64,168) (24,63,167) (25,58,158) (26,57,157) (27,66,162) (28,65,161) (29,87,151) (30,88,152) (31,95,141) (32,96,142) (33,89,145) (34,90,146) (35,97,149) (36,98,150) (37,91,153) (38,92,154) (39,85,143) (40,86,144) (41,93,147) (42,94,148) (43,74,123) (44,73,124) (45,82,113) (46,81,114) (47,76,117) (48,75,118) (49,84,121) (50,83,122) (51,78,125) (52,77,126) (53,72,115) (54,71,116) (55,80,119) (56,79,120) (169,269,306) (170,270,305) (171,277,296) (172,278,295) (173,271,300) (174,272,299) (175,279,304) (176,280,303) (177,273,308) (178,274,307) (179,267,298) (180,268,297) (181,275,302) (182,276,301) (183,228,334) (184,227,333) (185,236,324) (186,235,323) (187,230,328) (188,229,327) (189,238,332) (190,237,331) (191,232,336) (192,231,335) (193,226,326) (194,225,325) (195,234,330) (196,233,329) (197,255,319) (198,256,320) (199,263,309) (200,264,310) (201,257,313) (202,258,314) (203,265,317) (204,266,318) (205,259,321) (206,260,322) (207,253,311) (208,254,312) (209,261,315) (210,262,316) (211,242,291) (212,241,292) (213,250,281) (214,249,282) (215,244,285) (216,243,286) (217,252,289) (218,251,290) (219,246,293) (220,245,294) (221,240,283) (222,239,284) (223,248,287) (224,247,288)
  (1,285,68,182,121,227,2,286,67,181,122,228) (3,281,62,180,125,233,4,282,61,179,126,234) (5,291,70,178,115,225,6,292,69,177,116,226) (7,287,64,176,119,231,8,288,63,175,120,232) (9,283,58,174,123,237,10,284,57,173,124,238) (11,293,66,172,113,229,12,294,65,171,114,230) (13,289,60,170,117,235,14,290,59,169,118,236) (15,313,110,196,149,269,16,314,109,195,150,270) (17,309,104,194,153,275,18,310,103,193,154,276) (19,319,112,192,143,267,20,320,111,191,144,268) (21,315,106,190,147,273,22,316,105,189,148,274) (23,311,100,188,151,279,24,312,99,187,152,280) (25,321,108,186,141,271,26,322,107,185,142,272) (27,317,102,184,145,277,28,318,101,183,146,278) (29,327,82,210,163,241,30,328,81,209,164,242) (31,323,76,208,167,247,32,324,75,207,168,248) (33,333,84,206,157,239,34,334,83,205,158,240) (35,329,78,204,161,245,36,330,77,203,162,246) (37,325,72,202,165,251,38,326,71,201,166,252) (39,335,80,200,155,243,40,336,79,199,156,244) (41,331,74,198,159,249,42,332,73,197,160,250) (43,299,96,224,135,255,44,300,95,223,136,256) (45,295,90,222,139,261,46,296,89,221,140,262) (47,305,98,220,129,253,48,306,97,219,130,254) (49,301,92,218,133,259,50,302,91,217,134,260) (51,297,86,216,137,265,52,298,85,215,138,266) (53,307,94,214,127,257,54,308,93,213,128,258) (55,303,88,212,131,263,56,304,87,211,132,264)

15.336-134.0.2-3-12.1.3
  (1,183) (2,184) (3,195) (4,196) (5,193) (6,194) (7,191) (8,192) (9,189) (10,190) (11,187) (12,188) (13,185) (14,186) (15,170) (16,169) (17,182) (18,181) (19,180) (20,179) (21,178) (22,177) (23,176) (24,175) (25,174) (26,173) (27,172) (28,171) (29,211) (30,212) (31,223) (32,224) (33,221) (34,222) (35,219) (36,220) (37,217) (38,218) (39,215) (40,216) (41,213) (42,214) (43,198) (44,197) (45,210) (46,209) (47,208) (48,207) (49,206) (50,205) (51,204) (52,203) (53,202) (54,201) (55,200) (56,199) (57,239) (58,240) (59,251) (60,252) (61,249) (62,250) (63,247) (64,248) (65,245) (66,246) (67,243) (68,244) (69,241) (70,242) (71,226) (72,225) (73,238) (74,237) (75,236) (76,235) (77,234) (78,233) (79,232) (80,231) (81,230) (82,229) (83,228) (84,227) (85,267) (86,268) (87,279) (88,280) (89,277) (90,278) (91,275) (92,276) (93,273) (94,274) (95,271) (96,272) (97,269) (98,270) (99,254) (100,253) (101,266) (102,265) (103,264) (104,263) (105,262) (106,261) (107,260) (108,259) (109,258) (110,257) (111,256) (112,255) (113,295) (114,296) (115,307) (116,308) (117,305) (118,306) (119,303) (120,304) (121,301) (122,302) (123,299) (124,300) (125,297) (126,298) (127,282) (128,281) (129,294) (130,293) (131,292) (132,291) (133,290) (134,289) (135,288) (136,287) (137,286) (138,285) (139,284) (140,283) (141,323) (142,324) (143,335) (144,336) (145,333) (146,334) (147,331) (148,332) (149,329) (150,330) (151,327) (152,328) (153,325) (154,326) (155,310) (156,309) (157,322) (158,321) (159,320) (160,319) (161,318) (162,317) (163,316) (164,315) (165,314) (166,313) (167,312) (168,311)
  (1,109,136) (2,110,135) (3,103,140) (4,104,139) (5,111,130) (6,112,129) (7,105,134) (8,106,133) (9,99,138) (10,100,137) (11,107,128) (12,108,127) (13,101,132) (14,102,131) (15,68,164) (16,67,163) (17,62,168) (18,61,167) (19,70,158) (20,69,157) (21,64,162) (22,63,161) (23,58,166) (24,57,165) (25,66,156) (26,65,155) (27,60,160) (28,59,159) (29,95,149) (30,96,150) (31,89,153) (32,90,154) (33,97,143) (34,98,144) (35,91,147) (36,92,148) (37,85,151) (38,86,152) (39,93,141) (40,94,142) (41,87,145) (42,88,146) (43,82,121) (44,81,122) (45,76,125) (46,75,126) (47,84,115) (48,83,116) (49,78,119) (50,77,120) (51,72,123) (52,71,124) (53,80,113) (54,79,114) (55,74,117) (56,73,118) (169,277,304) (170,278,303) (171,271,308) (172,272,307) (173,279,298) (174,280,297) (175,273,302) (176,274,301) (177,267,306) (178,268,305) (179,275,296) (180,276,295) (181,269,300) (182,270,299) (183,236,332) (184,235,331) (185,230,336) (186,229,335) (187,238,326) (188,237,325) (189,232,330) (190,231,329) (191,226,334) (192,225,333) (193,234,324) (194,233,323) (195,228,328) (196,227,327) (197,263,317) (198,264,318) (199,257,321) (200,258,322) (201,265,311) (202,266,312) (203,259,315) (204,260,316) (205,253,319) (206,254,320) (207,261,309) (208,262,310) (209,255,313) (210,256,314) (211,250,289) (212,249,290) (213,244,293) (214,243,294) (215,252,283) (216,251,284) (217,246,287) (218,245,288) (219,240,291) (220,239,292) (221,248,281) (222,247,282) (223,242,285) (224,241,286)
  (1,287,66,174,125,235,2,288,65,173,126,236) (3,283,60,172,115,227,4,284,59,171,116,228) (5,293,68,170,119,233,6,294,67,169,120,234) (7,289,62,182,123,225,8,290,61,181,124,226) (9,285,70,180,113,231,10,286,69,179,114,232) (11,281,64,178,117,237,12,282,63,177,118,238) (13,291,58,176,121,229,14,292,57,175,122,230) (15,315,108,188,153,277,16,316,107,187,154,278) (17,311,102,186,143,269,18,312,101,185,144,270) (19,321,110,184,147,275,20,322,109,183,148,276) (21,317,104,196,151,267,22,318,103,195,152,268) (23,313,112,194,141,273,24,314,111,193,142,274) (25,309,106,192,145,279,26,310,105,191,146,280) (27,319,100,190,149,271,28,320,99,189,150,272) (29,329,80,202,167,249,30,330,79,201,168,250) (31,325,74,200,157,241,32,326,73,199,158,242) (33,335,82,198,161,247,34,336,81,197,162,248) (35,331,76,210,165,239,36,332,75,209,166,240) (37,327,84,208,155,245,38,328,83,207,156,246) (39,323,78,206,159,251,40,324,77,205,160,252) (41,333,72,204,163,243,42,334,71,203,164,244) (43,301,94,216,139,263,44,302,93,215,140,264) (45,297,88,214,129,255,46,298,87,213,130,256) (47,307,96,212,133,261,48,308,95,211,134,262) (49,303,90,224,137,253,50,304,89,223,138,254) (51,299,98,222,127,259,52,300,97,221,128,260) (53,295,92,220,131,265,54,296,91,219,132,266) (55,305,86,218,135,257,56,306,85,217,136,258)

Display number of generating vectors: