Properties

Label 14.1092-25.0.2-3-7.2
Genus \(14\)
Quotient genus \(0\)
Group \(\PSL(2,13)\)
Signature \([ 0; 2, 3, 7 ]\)
Generating Vectors \(2\)

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Family Information

Genus: $14$
Quotient genus: $0$
Group name: $\PSL(2,13)$
Group identifier: $[1092,25]$
Signature: $[ 0; 2, 3, 7 ]$
Conjugacy classes for this refined passport: $2, 3, 6$

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.

14.1092-25.0.2-3-7.2.1

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

14.1092-25.0.2-3-7.2.2
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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) (477,478) (479,774) (480,969) (481,487) (482,780) (483,778) (484,973) (486,972) (489,1003) (490,672) (491,492) (495,501) (502,950) (504,1022) (505,506) (507,536) (508,1039) (509,515) (510,542) (511,540) (512,1043) (513,755) (514,1042) (517,737) (519,520) (523,529) (530,964) (532,938) (533,534) (535,1068) (537,543) (538,1074) (539,1072) (541,741) (545,765) (547,548) (549,578) (550,563) (551,557) (552,584) (553,582) (554,567) (555,1063) (556,566) (559,1087) (561,562) (564,591) (565,571) (568,595) (570,594) (573,1059) (574,896) (575,576) (577,648) (579,585) (580,654) (581,652) (583,1091) (586,866) (589,590) (592,1025) (593,599) (596,1029) (598,1028) (600,894) (602,798) (603,604) (605,844) (606,703) (607,613) (608,850) (609,848) (610,707) (611,1021) (612,706) (615,807) (617,618) (621,627) (629,667) (630,1008) (631,632) (633,676) (634,801) (635,641) (636,682) (637,680) (638,805) (639,853) (640,804) (643,961) (645,646) (647,984) (649,655) (650,990) (651,988) (656,824) (658,868) (659,660) (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) (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)
  (1,905,557) (2,1052,772) (3,416,663) (4,1016,993) (5,815,752) (6,1070,650) (7,670,826) (8,797,1012) (9,893,897) (10,985,157) (11,729,723) (12,1050,819) (13,746,624) (14,665,600) (15,709,1033) (16,982,828) (17,402,691) (18,806,559) (19,171,444) (20,748,566) (21,698,182) (22,391,802) (23,417,701) (24,551,87) (25,995,625) (26,980,175) (27,438,204) (28,693,348) (29,877,991) (30,240,534) (31,892,215) (32,946,1063) (33,395,1074) (34,1000,314) (35,222,406) (36,153,942) (37,865,869) (38,1055,199) (39,967,233) (40,770,399) (41,1068,722) (42,217,586) (43,611,1089) (44,548,506) (45,822,285) (46,638,1035) (47,115,542) (48,440,244) (49,292,126) (50,475,634) (51,403,603) (52,1027,185) (53,1065,205) (54,742,119) (55,536,162) (56,287,320) (57,779,949) (58,898,394) (59,304,1083) (60,512,643) (61,255,472) (62,412,804) (63,1090,266) (64,531,508) (65,361,771) (66,635,311) (67,71,275) (68,896,259) (69,466,554) (70,1085,936) (72,282,926) (73,836,425) (74,568,209) (75,1067,920) (76,608,230) (77,432,1078) (78,741,564) (79,753,267) (80,201,353) (81,939,331) (82,882,1071) (83,914,106) (84,427,726) (85,443,935) (86,674,884) (88,778,1021) (89,493,794) (90,860,944) (91,558,504) (92,307,774) (93,431,435) (94,1013,591) (95,113,1031) (96,476,497) (97,788,1058) (98,553,852) (99,681,1061) (100,562,436) (101,864,131) (102,918,251) (103,409,1004) (104,734,342) (105,138,420) (107,473,673) (108,243,619) (109,1037,289) (110,490,413) (111,998,232) (112,133,278) (114,660,842) (116,316,727) (117,731,962) (118,902,692) (120,1049,312) (121,1005,1023) (122,719,423) (123,925,527) (124,644,735) (125,956,456) (127,835,1019) (128,702,814) (129,430,271) (130,484,685) (132,398,636) (134,363,480) (135,333,827) (136,677,647) (137,141,583) (139,858,1030) (140,273,922) (142,226,912) (143,514,523) (144,246,167) (145,745,948) (146,846,720) (147,530,756) (148,1007,242) (149,445,575) (150,159,325) (151,1009,499) (152,910,749) (154,525,628) (155,751,963) (156,632,856) (158,540,951) (160,468,916) (161,992,336) (163,305,743) (164,943,577) (165,169,555) (166,392,329) (168,987,614) (170,212,604) (172,344,237) (173,969,850) (174,874,664) (176,769,340) (177,739,547) (178,229,297) (179,953,429) (180,812,973) (181,844,498) (183,541,921) (184,870,408) (186,834,811) (187,451,388) (188,888,1014) (189,1034,462) (190,433,830) (191,529,533) (192,803,339) (193,365,1087) (194,868,455) (195,382,988) (196,1029,964) (197,1073,851) (198,800,464) (200,442,923) (202,384,930) (203,1062,364) (206,915,269) (207,813,989) (208,798,357) (210,1057,712) (211,513,809) (213,528,579) (214,764,881) (216,818,678) (218,335,760) (219,501,505) (220,873,563) (221,785,597) (223,886,1086) (224,581,950) (225,975,907) (227,458,649) (228,1002,853) (231,656,308) (234,845,549) (235,883,569) (236,378,301) (238,651,684) (239,415,767) (241,668,901) (245,908,630) (247,725,407) (248,999,675) (249,253,639) (250,532,623) (252,903,754) (254,646,744) (256,932,573) (257,885,738) (258,972,594) (260,377,928) (261,389,631) (262,565,717) (263,757,695) (264,518,889) (265,732,288) (268,1038,520) (270,414,839) (272,496,762) (274,671,410) (276,831,955) (277,295,849) (279,424,876) (280,917,488) (281,1045,879) (283,500,313) (284,736,615) (286,370,706) (290,607,983) (291,855,653) (293,816,596) (294,315,642) (296,1024,478) (298,680,1091) (299,367,780) (300,538,1056) (302,867,676) (303,823,841) (306,1008,371) (309,471,837) (310,1066,450) (317,697,463) (318,1041,1011) (319,323,947) (321,494,848) (322,637,740) (324,590,730) (326,610,349) (327,381,766) (328,482,1084) (330,825,606) (332,341,689) (334,546,385) (337,387,781) (338,996,492) (343,810,700) (345,669,379) (346,761,941) (347,351,919) (350,805,978) (352,576,968) (354,708,601) (355,787,486) (356,510,1028) (358,405,704) (359,375,911) (360,593,661) (362,448,791) (366,688,954) (368,652,629) (369,997,934) (372,979,648) (373,1075,1079) (374,621,521) (376,686,1001) (380,618,1010) (383,535,808) (386,755,984) (390,616,539) (393,1059,627) (396,582,699) (397,759,710) (400,517,578) (401,1047,1051) (404,952,763) (411,479,906) (418,924,483) (419,900,526) (421,961,585) (422,1080,758) (426,776,986) (428,895,872) (434,721,572) (437,1018,789) (439,703,556) (441,796,714) (446,1064,707) (447,550,470) (449,807,571) (452,960,657) (453,857,976) (454,1042,580) (457,795,799) (459,477,667) (460,840,861) (461,970,694) (465,1046,495) (467,773,640) (469,502,784) (474,854,777) (481,913,598) (485,641,659) (487,561,891) (489,592,820) (491,1017,655) (503,1040,666) (507,878,887) (509,927,584) (511,894,938) (515,645,863) (516,1092,931) (519,933,599) (522,904,587) (524,832,552) (537,605,1032) (543,589,793) (544,994,609) (545,1026,862) (560,847,782) (567,880,728) (570,733,633) (574,875,1076) (588,945,768) (595,1020,672) (602,1015,1048) (612,817,1039) (613,617,1003) (620,750,937) (622,790,958) (626,929,1081) (654,971,801) (658,679,1006) (662,1044,909) (682,859,829) (683,687,765) (690,974,713) (696,705,1053) (711,715,737) (716,940,786) (718,1072,965) (724,957,1025) (747,899,990) (775,843,1088) (783,1082,890) (792,1077,1054) (821,977,981) (824,1022,1043) (833,866,966) (838,1036,959) (871,1060,1069)
  (1,551,48,1032,844,401,1052) (2,771,355,972,458,200,905) (3,669,587,875,896,488,946) (4,1031,114,841,817,706,402) (5,776,304,662,947,324,729) (6,990,704,891,562,99,1055) (7,994,208,526,871,1075,153) (8,941,767,825,497,322,698) (9,898,57,943,720,962,760) (10,60,961,422,757,257,748) (11,195,651,980,908,1030,815) (12,862,241,907,839,119,728) (13,287,616,1090,666,997,375) (14,894,540,717,571,615,749) (15,1027,300,1088,956,821,982) (16,827,327,734,262,158,709) (17,697,601,903,420,768,1016) (18,1087,366,953,173,608,822) (19,832,430,690,1017,492,995) (20,556,606,415,240,29,985) (21,560,166,358,899,753,797) (22,1011,1047,181,455,658,292) (23,702,127,1013,622,934,1040) (24,130,933,520,1037,103,440) (25,69,567,742,712,1086,171) (26,890,1053,711,517,371,630) (27,231,854,278,694,1067,81) (28,418,778,619,249,853,441) (30,533,523,1042,500,620,877) (31,221,279,679,868,516,918) (32,555,170,603,397,902,416) (33,538,52,214,919,352,967) (34,1060,900,863,646,253,243) (35,1064,628,428,675,1005,83) (36,913,487,405,329,350,670) (37,870,183,915,230,850,480) (38,186,849,296,477,453,1070) (39,97,315,1050,880,554,395) (40,470,563,879,783,175,238) (41,693,714,1034,218,731,123) (42,866,442,227,655,713,1071) (43,1083,426,276,928,177,548) (44,505,495,1000,108,88,611) (45,291,349,707,406,1048,806) (46,275,72,925,117,846,178) (47,510,528,284,807,450,1065) (49,1036,96,330,703,445,391) (50,801,977,125,259,574,236) (51,604,211,803,202,920,970) (53,139,245,1008,614,274,115) (54,414,983,613,489,77,210) (55,721,966,586,288,745,151) (56,404,834,199,1061,965,539) (58,393,621,384,192,242,779) (59,1089,1021,483,364,376,1044) (61,398,696,1082,1045,282,71) (62,640,746,359,912,225,901) (63,644,250,92,479,417,503) (64,1039,823,265,217,882,992) (65,772,1051,1041,272,836,816) (66,1054,835,128,813,201,468) (67,1035,805,392,782,960,255) (68,456,843,781,867,427,280) (70,362,120,269,921,741,469) (73,431,671,987,756,964,596) (74,695,758,1079,1069,314,1046) (75,930,374,424,597,786,939) (76,206,312,751,156,855,285) (78,591,1019,1077,889,224,502) (79,268,519,593,328,346,1012) (80,522,345,380,1009,145,916) (82,974,129,277,811,763,336) (84,754,708,325,165,1063,917) (85,929,286,612,508,107,674) (86,883,229,146,164,648,443) (87,557,923,833,434,180,484) (89,888,220,550,485,660,113) (90,1018,998,429,954,687,677) (91,1022,656,204,829,865,363) (93,436,561,481,1028,542,410) (94,564,541,184,407,719,790) (95,993,945,154,446,610,493) (98,432,820,1025,963,1049,791) (100,435,425,762,332,718,681) (101,137,1091,637,476,838,932) (102,989,814,701,411,874,892) (104,248,872,471,310,449,565) (105,252,726,302,633,739,377) (106,927,515,419,357,602,222) (109,167,343,770,684,988,409) (110,386,647,683,545,819,294) (111,665,910,558,134,969,179) (112,474,750,283,319,909,1001) (116,219,506,547,733,594,486) (118,724,592,1003,618,379,663) (121,1024,295,271,524,584,914) (122,298,583,142,911,369,958) (124,764,185,1033,951,511,532) (126,1006,876,521,627,573,959) (131,818,290,270,975,226,141) (132,682,438,331,940,715,705) (133,686,1062,190,759,403,461) (135,828,981,971,580,514,172) (136,984,513,212,169,159,860) (138,260,955,837,895,525,588) (140,334,372,577,949,1007,861) (143,529,699,553,448,936,344) (144,289,1038,267,747,650,976) (147,168,306,400,549,851,769) (148,339,809,755,413,672,460) (149,576,351,341,496,318,802) (150,354,317,464,799,789,944) (152,736,213,585,643,1043,504) (155,957,692,710,830,261,632) (157,991,937,777,308,824,512) (160,948,732,303,842,659,635) (161,952,320,624,773,473,531) (162,507,893,335,189,812,572) (163,744,645,509,552,444,886) (174,234,578,737,716,785,215) (176,1081,935,979,385,196,530) (182,740,680,423,725,657,847) (187,412,668,1026,765,688,365) (188,808,1068,527,926,281,873) (191,534,239,761,1084,780,396) (193,559,1015,798,544,848,451) (194,498,605,543,475,301,1092) (197,845,664,906,774,457,800) (198,463,691,370,626,340,1073) (203,924,348,722,535,389,433) (205,1066,309,831,986,752,858) (207,251,931,378,1076,904,353) (209,595,490,642,1058,885,263) (216,878,536,499,1010,617,607) (223,1057,1078,852,582,367,305) (228,639,254,743,299,482,360) (232,437,795,307,623,938,600) (233,968,575,439,566,738,788) (235,321,609,826,978,638,297) (237,1085,784,950,652,381,333) (244,1004,382,723,730,589,537) (246,857,459,629,581,518,810) (247,408,869,859,636,472,452) (256,1059,394,897,887,678,864) (258,570,676,387,338,491,649) (264,792,311,641,447,399,700) (266,390,1072,689,347,881,735) (273,840,1020,568,465,501,727) (293,1029,546,922,316,787,361) (313,454,654,634,793,590,323) (326,653,856,631,383,1014,794) (337,775,1056,1074,466,625,996) (342,766,368,667,478,1023,999) (356,598,942,373,1080,421,579) (388,494,569,884,673,467,804) (462,796,1002,661,599,685,973)

Display number of generating vectors: