Properties

Genus \(14\)
Quotient Genus \(0\)
Group \(1092.25\)
Signature \([ 0; 2, 3, 7 ]\)
Generating Vectors \(2\)

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Family Information

Genus: 14
Quotient Genus: 0
Group identifier: [1092,25]
Signature: $[ 0; 2, 3, 7 ]$
Conjugacy classes for this refined passport: 2, 3, 5

Jacobian variety group algebra decomposition:$E^{14}$
Corresponding character(s): 9

Other Data

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

Generating Vector(s)

Displaying 2 of 2 generating vectors for this refined passport.

14.1092-25.0.2-3-7.1.1

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(663,669) (670,978) (673,674) (675,872) (677,683) (678,878) (679,876) (681,965) (685,933) (687,688) (689,718) (691,697) (692,724) (693,722) (698,740) (700,770) (701,702) (704,899) (705,711) (708,903) (709,951) (710,902) (713,1017) (715,716) (719,725) (726,754) (728,742) (729,730) (731,760) (732,745) (733,739) (734,766) (735,764) (736,749) (738,748) (743,744) (746,773) (747,753) (750,777) (751,1049) (752,776) (757,758) (759,830) (761,767) (762,836) (763,834) (769,1073) (771,772) (775,781) (779,1007) (783,1045) (785,786) (788,885) (789,795) (792,889) (794,888) (796,1034) (799,800) (802,1011) (803,809) (806,1015) (808,1014) (811,849) (813,814) (815,858) (817,823) (818,864) (819,862) (826,994) (827,828) (831,837) (835,1077) (839,975) (841,842) (843,956) (845,851) (846,962) (847,960) (855,856) (859,865) (869,870) (871,900) (873,879) (874,906) (875,904) (877,937) (881,919) (883,884) (887,893) (897,898) (901,907) (905,923) (909,947) (911,912) (913,942) (914,927) (915,921) (916,948) (917,946) 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  (1,625,1084) (2,251,340) (3,483,434) (4,506,41) (5,234,754) (6,827,415) (7,322,241) (8,834,1086) (9,160,785) (10,852,173) (11,991,753) (12,985,850) (13,18,478) (14,451,539) (15,205,272) (16,1063,312) (17,763,532) (19,724,446) (20,505,401) (21,658,1053) (22,512,274) (23,90,379) (24,964,117) (25,557,445) (26,551,962) (27,46,758) (28,255,777) (29,723,1028) (30,573,592) (31,511,308) (32,828,111) (33,290,1076) (34,771,891) (35,350,563) (36,778,1030) (37,202,141) (38,614,817) (39,1061,1075) (40,1055,612) (42,493,441) (43,163,580) (44,993,648) (45,1043,364) (47,626,544) (48,477,821) (49,574,983) (50,484,582) (51,188,463) (52,936,369) (53,1033,543) (54,1027,934) (55,298,1038) (56,101,833) (57,555,706) (58,853,606) (59,371,140) (60,786,671) (61,346,474) (62,855,303) (63,882,843) (64,862,708) (65,314,519) (66,768,327) (67,641,473) (68,635,766) (69,158,366) (70,185,119) (71,107,622) (72,139,88) (73,959,392) (74,898,825) (75,304,922) (76,799,835) (77,224,129) (78,806,624) (79,356,729) 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(420,465,1015) (423,735,504) (427,1064,1025) (433,522,730) (436,503,452) (437,595,756) (438,1080,1007) (440,981,1017) (444,726,957) (447,830,590) (449,695,1056) (456,750,1058) (458,880,887) (459,655,977) (460,649,878) (462,521,1001) (468,897,1045) (482,575,905) (485,790,673) (490,759,1057) (492,601,1026) (496,1065,793) (497,1092,591) (500,684,859) (507,567,840) (509,794,586) (515,529,585) (517,1040,562) (520,1091,1054) (525,994,1081) (528,1020,789) (530,579,1018) (538,547,807) (542,628,929) (548,979,1068) (553,1050,969) (561,933,1000) (576,755,774) (581,1078,745) (583,930,687) (589,709,762) (603,737,888) (616,913,665) (617,653,804) (618,685,634) (623,952,675) (630,717,889) (633,721,924) (637,826,885) (639,776,1023) (643,802,716) (645,961,734) (646,839,760) (651,784,829) (656,971,892) (660,923,928) (661,791,700) (670,901,738) (681,832,1079) (688,951,914) (690,884,727) (693,854,941) (694,820,932) (698,705,1004) (701,975,860) (731,1029,980) (732,1052,769) (741,746,1024) (742,997,1085) (748,1051,947) (751,818,925) (770,1039,987) (787,917,868) (797,886,912) (800,867,816) (822,1062,1069) (982,1049,998)
  (1,346,67,467,110,902,251) (2,1081,826,680,889,158,625) (3,966,624,1015,74,415,828) (4,527,408,213,490,1086,763) (5,726,832,965,127,850,991) (6,825,897,80,781,1083,614) (7,1026,317,716,1011,434,778) (8,1057,830,485,674,787,658) (9,786,157,448,246,539,494) (10,179,845,1076,216,41,505) (11,747,82,1056,209,393,234) (12,608,993,43,654,221,887) (13,477,24,123,957,754,664) (14,1072,455,242,275,660,955) (15,318,137,859,40,706,1063) (16,269,182,876,413,88,205) (17,938,204,805,144,401,506) (18,359,394,661,770,274,1043) (19,628,510,937,211,962,557) (20,181,701,150,837,271,852) (21,1082,653,618,801,532,834) (22,987,508,765,870,381,574) (23,380,87,546,1058,777,452) (25,439,152,986,167,813,724) (26,846,559,295,570,669,411) (27,757,52,375,929,446,692) (28,750,259,1054,583,688,927) (29,598,193,383,264,874,573) (30,1025,406,638,861,200,723) (31,854,722,945,368,891,772) (32,429,884,129,518,1030,483) (33,236,776,853,57,612,1061) (34,405,869,374,543,1027,712) (35,550,345,226,941,308,540) (36,245,774,513,632,143,322) (37,142,199,756,568,441,326) (38,823,607,1006,132,111,827) (39,1069,376,244,629,407,290) (42,1002,497,564,1087,212,843) (44,577,126,904,399,186,163) (45,924,162,637,788,821,478) (46,331,814,689,1050,582,973) (47,208,482,923,659,934,1033) (48,125,603,794,515,579,964) (49,270,569,198,633,364,512) (50,553,480,1045,898,465,252) (51,464,185,784,988,833,256) (53,537,796,552,97,169,626) (54,958,1035,421,248,697,397) (55,1037,304,81,915,544,286) (56,442,105,984,597,282,913) (58,703,266,974,357,312,555) (59,840,554,511,102,303,856) (60,93,296,591,378,708,819) (61,278,860,839,645,766,641) (62,265,771,108,403,705,740) (63,956,877,268,507,140,400) (64,903,858,373,968,521,812) (65,520,311,154,848,119,214) (66,333,761,418,594,671,785) (68,734,643,715,808,599,355) (69,365,164,431,831,474,1084) (70,414,189,844,681,1080,829) (71,94,529,509,866,272,139) (72,619,1078,652,749,354,107) (73,350,106,567,536,835,800) (75,334,804,349,449,1088,207) (76,1077,267,542,935,621,1062) (77,690,219,324,563,392,932) (78,287,802,961,646,731,238) (79,730,353,644,134,707,886) (83,953,472,767,341,922,426) (84,610,175,130,191,422,339) (85,906,571,257,698,440,713) (86,871,504,764,427,592,1059) (89,1034,384,545,337,514,1019) (90,503,435,458,893,873,1048) (91,606,639,1024,773,196,890) (92,679,382,177,758,297,952) (95,789,460,678,657,99,584) (96,1042,1021,281,948,277,425) (98,862,161,704,807,548,535) (100,549,420,806,469,620,233) (101,616,232,917,116,863,534) (103,292,538,615,183,710,249) (104,419,673,122,445,551,908) (109,999,124,566,727,883,696) (112,736,329,648,1031,128,605) (113,206,305,775,390,1028,195) (114,227,742,344,1001,424,457) (115,588,456,315,746,541,940) (117,530,944,587,323,556,725) (118,741,1023,752,851,229,572) (120,665,942,611,338,1039,700) (121,1038,423,1022,190,875,466) (131,586,888,517,561,1046,683) (133,928,905,576,479,224,820) (135,352,647,798,960,371,662) (136,501,1041,404,342,699,379) (138,1000,685,617,640,347,327) (141,192,361,481,894,580,223) (145,502,636,321,253,276,165) (146,755,575,780,921,201,992) (147,284,667,492,241,476,918) (148,231,634,933,562,997,728) (149,996,325,686,218,609,410) (151,943,782,230,307,967,430) (153,925,864,1047,313,950,524) (155,878,655,453,670,748,909) (156,675,336,484,301,578,247) (159,558,790,447,589,836,949) (160,335,743,500,865,677,768) (166,762,951,687,920,1089,299) (168,470,203,900,1017,982,437) (170,283,980,596,735,298,499) (171,280,498,343,1068,443,912) (172,471,436,255,714,288,931) (173,432,916,279,351,990,235) (174,979,547,1074,613,285,656) (176,217,914,709,590,759,672) (178,753,985,880,258,895,631) (180,650,237,855,668,263,733) (184,899,462,1044,525,340,989) (187,1090,468,783,309,486,809) (188,461,533,262,417,901,978) (194,972,811,225,1018,585,523) (197,682,319,495,222,1070,881) (202,363,1065,332,473,635,488) (210,386,623,872,947,1052,745) (215,600,412,489,239,976,879) (220,459,971,824,314,293,463) (228,695,450,1053,868,946,791) (240,1067,630,792,721,676,919) (243,642,496,475,1009,402,1005) (250,370,1007,1079,444,963,719) (254,983,896,1016,385,718,289) (260,651,438,779,1010,367,602) (261,366,717,1008,316,1071,522) (273,970,1003,842,409,560,526) (291,817,306,930,1091,519,1060) (294,372,693,1012,849,310,969) (300,377,841,388,487,593,936) (302,1029,760,975,702,857,1064) (320,818,1049,981,1004,711,691) (328,391,939,416,739,565,810) (330,595,998,751,926,815,1092) (348,398,769,1051,738,907,663) (356,797,911,892,977,649,1020) (358,581,732,1073,954,395,1036) (360,389,803,516,622,531,995) (362,1014,601,491,1032,627,369) (387,744,451,910,694,959,816) (396,793,1066,493,882,666,847) (428,1085,1040,737,604,885,994) (433,729,528,795,1013,838,720) (454,867,799,822,1075,1055,684)

14.1092-25.0.2-3-7.1.2
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(299,305) (302,427) (304,426) (306,614) (307,457) (308,854) (309,310) (311,1054) (313,319) (314,1060) (315,1058) (317,601) (320,404) (321,569) (322,476) (323,324) (325,354) (326,493) (327,333) (328,360) (329,358) (330,497) (332,496) (334,922) (336,952) (337,338) (340,1081) (341,347) (344,1085) (345,587) (346,1084) (348,418) (349,653) (350,392) (351,352) (353,522) (355,361) (356,528) (357,526) (362,936) (364,924) (365,366) (367,396) (368,381) (369,375) (370,402) (371,400) (372,385) (374,384) (376,1062) (378,1092) (379,380) (382,409) (383,389) (386,413) (387,867) (388,412) (390,1090) (393,394) (395,466) (397,403) (398,472) (399,470) (405,891) (406,1064) (407,408) (411,417) (415,825) (419,863) (421,422) (424,521) (425,431) (428,525) (430,524) (432,852) (434,966) (435,436) (437,998) (438,829) (439,445) (440,1004) (441,1002) (442,833) (443,979) (444,832) (446,628) (447,485) (449,450) (451,494) (453,459) (454,500) (455,498) (460,1020) (462,812) (463,464) (467,473) (471,895) (475,793) 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(918,931) (920,930) (925,926) (928,955) (929,935) (932,959) (934,958) (939,940) (941,1012) (943,949) (944,1018) (945,1016) (953,954) (957,963) (967,968) (970,1067) (971,977) (974,1071) (976,1070) (981,982) (985,991) (993,1031) (995,996) (997,1040) (999,1005) (1000,1046) (1001,1044) (1009,1010) (1013,1019) (1023,1024) (1027,1033) (1037,1038) (1041,1047) (1051,1052) (1053,1082) (1055,1061) (1056,1088) (1057,1086) (1065,1066) (1069,1075) (1079,1080) (1083,1089)
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(78,509,925) (80,186,96) (81,1010,409) (82,906,382) (83,881,727) (84,553,695) (85,680,551) (86,633,613) (88,166,374) (89,491,344) (90,678,888) (91,359,756) (92,257,883) (93,420,315) (94,802,908) (95,408,199) (97,475,853) (98,749,611) (99,568,131) (100,591,991) (101,361,744) (102,334,1074) (103,407,190) (104,566,440) (105,373,952) (106,789,435) (107,518,665) (108,1026,586) (109,506,297) (111,489,279) (112,945,989) (115,473,870) (116,404,1018) (117,729,330) (118,664,846) (119,835,1064) (120,775,841) (121,924,259) (122,158,208) (123,912,857) (124,682,144) (125,643,293) (126,1057,219) (127,708,271) (128,899,935) (129,669,366) (132,706,818) (133,457,784) (135,182,245) (136,872,852) (137,170,185) (138,388,214) (139,419,923) (140,777,933) (141,232,523) (142,661,291) (143,417,604) (145,743,260) (146,230,916) (147,765,1036) (148,481,911) (151,800,395) (152,710,466) (153,909,629) (154,1029,289) (155,638,985) (156,801,711) (157,193,394) (159,323,596) (160,636,860) (161,527,1078) (162,453,855) (163,896,343) (164,1012,880) (165,884,619) (167,391,615) (168,1071,709) (171,389,674) (172,418,948) (173,967,358) (174,216,608) (175,779,252) (176,537,603) (177,938,455) (178,200,628) (179,926,465) (181,811,699) (183,876,1027) (184,675,851) (187,449,316) (188,874,412) (189,331,448) (191,406,651) (192,634,712) (195,867,965) (196,441,849) (197,806,1055) (198,1011,907) (201,351,582) (202,804,468) (203,429,1008) (204,495,463) (205,868,595) (206,942,684) (207,856,717) (209,797,713) (210,1001,905) (211,610,579) (212,703,921) (217,261,840) (220,900,964) (222,472,662) (223,405,951) (224,833,919) (225,918,649) (226,927,641) (227,627,464) (228,292,416) (229,295,1030) (233,798,1085) (234,956,1020) (235,786,689) (236,402,718) (237,377,685) (238,1043,639) (239,540,901) (240,507,781) (241,585,296) (242,558,332) (243,617,1016) (247,462,931) (248,1040,978) (249,450,269) (250,430,312) (251,531,755) (254,577,1061) (255,529,1066) (256,362,1004) (258,650,748) (262,550,278) (265,517,1091) (266,917,1059) (267,1044,915) (268,997,977) (272,1042,524) (273,723,392) (274,621,519) (276,438,544) (280,385,975) (281,932,313) (282,955,809) (283,725,380) (284,698,892) (290,844,950) (294,763,807) (299,365,694) (300,1028,482) (301,471,882) (302,411,477) (303,742,623) (304,340,572) (305,730,493) (306,1046,326) (307,1007,657) (308,875,583) (309,1072,635) (310,535,753) (314,1070,454) (317,364,609) (318,508,488) (319,352,549) (322,413,751) (324,1025,655) (327,379,624) (328,594,734) (329,401,854) (335,545,993) (336,847,653) (337,1002,803) (338,437,1075) (341,687,960) (342,1000,496) (345,532,707) (346,830,516) (347,520,983) (350,889,1073) (355,785,722) (356,580,972) (357,415,616) (360,564,992) (363,447,1063) (367,865,898) (368,824,808) (369,995,498) (370,692,958) (371,513,994) (372,831,953) (375,940,885) (376,878,788) (378,987,667) (381,823,954) (384,622,1014) (386,1041,1009) (390,850,886) (396,866,934) (397,757,428) (399,443,658) (400,747,897) (403,842,787) (410,474,962) (414,1069,869) (421,1086,719) (422,1053,599) (426,1084,762) (427,863,910) (431,996,451) (432,976,494) (433,1077,573) (434,903,597) (439,701,820) (442,873,561) (445,646,773) (446,1088,746) (452,530,738) (458,984,1090) (461,839,1035) (469,737,588) (470,971,799) (476,581,625) (479,837,1052) (480,768,654) (483,1017,700) (484,957,1023) (487,548,1039) (492,1081,571) (497,821,966) (500,1054,1034) (503,783,559) (504,959,569) (511,947,672) (512,845,547) (515,982,759) (525,891,714) (526,817,1037) (528,648,1062) (536,782,584) (541,574,819) (543,562,829) (556,998,1076) (565,715,946) (570,760,1048) (575,974,943) (576,1067,739) (589,736,1013) (590,745,1005) (593,659,848) (598,774,838) (602,861,1003) (605,949,660) (606,922,696) (607,981,834) (612,858,796) (618,941,879) (620,726,822) (626,914,642) (630,735,877) (631,862,733) (632,815,795) (645,750,677) (668,704,936) (670,864,690) (671,825,1021) (673,890,999) (681,728,973) (683,716,913) (688,843,1019) (705,1051,778) (720,944,790) (724,928,810) (731,1047,1080) (732,1006,990) (740,1060,970) (754,1032,1068) (761,939,792) (764,929,1079) (767,1024,969) (791,1045,1092) (816,894,920)
  (1,669,690,818,612,1034,311) (2,1027,679,616,825,93,1058) (3,533,389,886,608,290,502) (4,832,276,208,717,855,459) (5,91,168,951,891,428,758) (6,752,950,605,659,599,1082) (7,462,657,779,890,674,383) (8,772,453,721,238,853,793) (9,624,380,719,1057,1036,545) (10,418,143,603,543,438,986) (11,424,1042,318,68,87,813) (12,521,757,403,116,944,164) (13,317,848,660,943,1071,756) (14,993,765,176,604,411,427) (15,697,284,174,850,1090,647) (16,1083,875,854,181,191,988) (17,771,473,410,846,234,460) (18,510,584,166,619,883,263) (19,189,98,1021,415,526,1038) (20,444,1020,843,687,347,270) (21,266,573,835,414,870,467) (22,828,257,623,728,965,387) (23,204,464,621,987,1092,783) (24,404,787,841,781,536,552) (25,522,972,654,138,185,169) (26,353,1037,823,368,1014,94) (27,653,960,688,1013,749,448) (28,559,1045,120,842,397,525) (29,221,662,398,710,558,339) (30,551,637,714,405,163,246) (31,435,795,858,706,696,334) (32,776,1088,628,227,463,501) (33,161,210,923,863,302,478) (34,1074,922,703,211,585,1026) (35,504,321,541,862,632,789) (36,534,495,231,294,615,149) (37,722,786,229,245,560,447) (38,894,73,701,445,746,1056) (39,298,762,346,194,157,393) (40,423,477,417,172,916,206) (41,345,610,212,915,1001,1078) (42,1063,485,820,702,887,301) (43,291,228,118,962,278,563) (44,271,903,966,125,65,554) (45,827,865,396,958,724,264) (46,482,598,96,199,407,109) (47,63,196,811,401,358,968) (48,542,810,955,281,319,578) (49,112,251,513,400,898,859) (50,506,103,203,630,937,471) (51,162,856,201,553,280,839) (52,824,381,953,837,774,1028) (53,354,734,570,222,59,113) (54,325,967,179,74,804,192) (55,569,932,282,803,441,546) (56,1035,975,372,954,817,357) (57,1089,984,258,738,964,871) (58,957,973,742,265,583,904) (60,860,682,250,269,449,193) (61,581,322,1049,359,134,814) (62,472,1048,731,1079,935,704) (64,394,187,273,350,769,527) (66,306,493,729,123,144,636) (67,130,888,878,1062,577,253) (69,877,764,1080,1041,413,476) (70,643,821,330,730,299,133) (71,431,494,1070,1060,698,213) (72,691,651,1064,1077,261,288) (75,259,364,601,751,386,1010) (76,920,600,1053,421,725,620) (77,182,237,933,750,646,439) (78,926,173,329,308,1091,737) (79,106,436,327,287,700,713) (80,838,479,1051,711,634,202) (81,382,874,220,530,255,1065) (82,409,1009,1047,760,594,360) (83,219,1086,422,593,609,924) (84,209,1017,778,1052,831,385) (85,557,242,496,1046,614,633) (86,607,763,1050,503,1087,680) (88,384,808,656,1025,323,165) (89,1085,602,489,429,190,408) (90,794,488,1039,547,851,872) (92,884,159,1029,588,517,303) (95,186,468,640,572,1081,491) (97,639,512,548,481,861,798) (99,137,214,412,906,992,591) (100,985,805,910,419,205,568) (101,743,151,466,902,668,362) (102,538,1032,726,283,379,333) (104,1004,936,899,127,277,550) (105,336,349,443,470,800,145) (107,232,142,285,567,994,755) (108,866,367,897,753,1068,244) (110,297,505,893,816,930,626) (111,597,708,128,929,735,1008) (114,215,343,574,741,499,666) (115,869,1075,998,566,262,474) (117,497,434,279,1003,148,912) (119,406,699,849,1002,338,1069) (121,456,1066,523,665,224,881) (122,544,829,561,879,1012,720) (124,857,911,487,508,272,430) (126,727,919,442,562,537,147) (129,365,305,326,1000,248,670) (131,595,658,979,331,218,170) (132,864,978,997,267,921,606) (135,1030,296,579,707,938,377) (136,432,451,995,375,788,678) (139,905,1044,268,971,399,868) (140,685,177,498,996,425,217) (141,529,452,748,990,292,661) (146,948,348,983,519,627,200) (150,516,759,981,613,676,160) (152,395,799,977,1040,342,332) (153,667,274,520,341,847,952) (154,167,807,834,982,509,469) (155,991,564,328,766,712,801) (156,705,483,770,335,1031,638) (158,790,1018,320,549,351,207) (171,673,1005,732,650,458,390) (175,420,671,611,736,590,999) (178,446,773,645,683,942,230) (180,465,925,515,830,1084,304) (183,1033,1054,454,976,852,675) (184,845,1043,980,461,275,876) (188,388,768,969,1023,963,900) (195,681,484,1024,761,889,392) (197,1061,648,356,486,908,1011) (198,901,511,490,363,555,806) (216,892,740,1067,575,949,844) (223,709,974,576,733,819,896) (225,655,592,300,780,642,927) (226,635,539,784,307,247,918) (233,344,492,565,917,644,475) (235,718,370,934,586,241,295) (236,689,785,361,256,440,556) (239,907,802,622,374,782,507) (240,775,791,378,629,947,540) (243,945,686,867,723,316,450) (249,312,524,514,880,941,617) (252,1007,457,694,366,663,315) (254,1055,1015,882,895,625,652) (260,744,355,693,672,909,373) (286,822,754,535,309,641,914) (289,596,324,649,931,812,391) (293,961,1072,310,747,371,826) (313,959,1022,797,695,582,352) (314,500,796,815,631,739,970) (337,809,928,692,402,1076,437) (340,426,836,684,913,715,571) (369,455,532,587,1073,792,940) (376,885,939,767,480,580,528) (416,1006,745,589,1019,956,664) (433,1059,946,716,677,777,840) (518,531,989,1016,618,873,833)

Display number of generating vectors: