Discriminant of quadratic order and factorisation : 285 [3, 1; 5, 1; 19, 1] Class group : structure, generators, unit : [2, [2], [Qfb(5, 15, -3)], 2.82973503752439] unit = 8 + w norm unit = 1 List and structure of elments in class group : [((0,), Qfb(1, 15, -15)), ((1,), Qfb(5, 15, -3))] Group element : Sturm CF expansion a0-1/(a1-1/(...)): (0,) ([0, 1, 15, 1, 15, 1, 15, 1, 15, 1, 15, 1, 15, 1, 15, 1, 15, 1, 15, 1, 15, 1, 15, 1], ['29308275247665/31146825378241', '1838550130576/1953885016511', '1730023289025/1838550130576', '108526841551/115334885935', '102120665760/108526841551', '6406175791/6808044384', '6028028895/6406175791', '378146896/401868593', '355825455/378146896', '22321441/23721697', '21003840/22321441', '1317601/1400256', '1239825/1317601', '77776/82655', '73185/77776', '4591/4879', '4320/4591', '271/288', '255/271', '16/17', '15/16', '1/1', '0/1', '1/0', '0/1'], matrix([[31146825378241, 29308275247665], [33100710394752, 31146825378241]])) (1,) ([0, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5], ['5861655049533/31146825378241', '1838550130576/9769425082555', '346004657805/1838550130576', '108526841551/576674429675', '20424133152/108526841551', '6406175791/34040221920', '1205605779/6406175791', '378146896/2009342965', '71165091/378146896', '22321441/118608485', '4200768/22321441', '1317601/7001280', '247965/1317601', '77776/413275', '14637/77776', '4591/24395', '864/4591', '271/1440', '51/271', '16/85', '3/16', '1/5', '0/1', '1/0', '0/1'], matrix([[ 31146825378241, 5861655049533], [165503551973760, 31146825378241]])) Discriminant of quadratic order and factorisation : 60 [2, 2; 3, 1; 5, 1] Class group : structure, generators, unit : [2, [2], [Qfb(2, 6, -3)], 2.06343706889556] unit = 4 + w norm unit = 1 List and structure of elments in class group : [((0,), Qfb(1, 6, -6)), ((1,), Qfb(2, 6, -3))] Group element : Sturm CF expansion a0-1/(a1-1/(...)): (0,) ([0, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1], ['5579667066/6391493137', '811826071/929944511', '708710640/811826071', '103115431/118118440', '90018054/103115431', '13097377/15003009', '11433792/13097377', '1663585/1905632', '1452282/1663585', '211303/242047', '184464/211303', '26839/30744', '23430/26839', '3409/3905', '2976/3409', '433/496', '378/433', '55/63', '48/55', '7/8', '6/7', '1/1', '0/1', '1/0', '0/1'], matrix([[6391493137, 5579667066], [7321437648, 6391493137]])) (1,) ([0, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2], ['2789833533/6391493137', '811826071/1859889022', '354355320/811826071', '103115431/236236880', '45009027/103115431', '13097377/30006018', '5716896/13097377', '1663585/3811264', '726141/1663585', '211303/484094', '92232/211303', '26839/61488', '11715/26839', '3409/7810', '1488/3409', '433/992', '189/433', '55/126', '24/55', '7/16', '3/7', '1/2', '0/1', '1/0', '0/1'], matrix([[ 6391493137, 2789833533], [14642875296, 6391493137]])) Discriminant of quadratic order and factorisation : 40 [2, 3; 5, 1] Class group : structure, generators, unit : [2, [2], [Qfb(3, 2, -3)], 1.81844645923207] unit = 3 + w norm unit = -1 List and structure of elments in class group : [((0,), Qfb(1, 6, -1)), ((1,), Qfb(3, 2, -3))] Group element : Sturm CF expansion a0-1/(a1-1/(...)): (0,) ([0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], ['37434995712014466/230684837784645817', '6074863512559021/37434995712014466', '985814636660340/6074863512559021', '159975692596981/985814636660340', '25960481078454/159975692596981', '4212806126257/25960481078454', '683644320912/4212806126257', '110940200785/683644320912', '18003116202/110940200785', '2921503573/18003116202', '474094764/2921503573', '76934989/474094764', '12484830/76934989', '2026009/12484830', '328776/2026009', '53353/328776', '8658/53353', '1405/8658', '228/1405', '37/228', '6/37', '1/6', '0/1', '1/0', '0/1'], matrix([[ 230684837784645817, 37434995712014466], [1421544022419889368, 230684837784645817]])) (1,) ([0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2], ['275423/382129', '160059/222070', '115364/160059', '44695/62011', '25974/36037', '18721/25974', '7253/10063', '4215/5848', '3038/4215', '1177/1633', '684/949', '493/684', '191/265', '111/154', '80/111', '31/43', '18/25', '13/18', '5/7', '3/4', '2/3', '1/1', '0/1', '1/0', '0/1'], matrix([[710905, 275423], [986328, 382129]])) Discriminant of quadratic order and factorisation : 316 [2, 2; 79, 1] Class group : structure, generators, unit : [3, [3], [Qfb(6, 10, -9)], 5.07513475044481] unit = 80 + 9*w norm unit = 1 List and structure of elments in class group : [((0,), Qfb(1, 16, -15)), ((1,), Qfb(6, 10, -9)), ((2,), Qfb(9, 10, -6))] Group element : Sturm CF expansion a0-1/(a1-1/(...)): (0,) ([0, 1, 7, 1, 16, 1, 7, 1, 16, 1, 7, 1, 16, 1, 7, 1, 16, 1, 7, 1, 16, 1, 7, 1], ['744373046576/838074448639', '93701402063/105496499681', '88463232135/99598950872', '5238169928/5897548809', '4652513287/5238169928', '585656641/659378881', '552916800/622517761', '32739841/36861120', '29079344/32739841', '3660497/4121279', '3455865/3890888', '204632/230391', '181753/204632', '22879/25759', '21600/24319', '1279/1440', '1136/1279', '143/161', '135/152', '8/9', '7/8', '1/1', '0/1', '1/0', '0/1'], matrix([[838074448639, 744373046576], [943570948320, 838074448639]])) (1,) ([0, 1, 1, 1, 5, 3, 2, 1, 1, 1, 5, 3, 2, 1, 1, 1, 5, 3, 2, 1, 1, 1, 5, 3], ['45103678/69600961', '8012167/12363837', '5042843/7781776', '2969324/4582061', '2073519/3199715', '895805/1382346', '281909/435023', '50078/77277', '31519/48638', '18559/28639', '12960/19999', '5599/8640', '1762/2719', '313/483', '197/304', '116/179', '81/125', '35/54', '11/17', '2/3', '1/2', '1/1', '0/1', '1/0', '0/1'], matrix([[143323201, 45103678], [221166720, 69600961]])) (2,) ([0, 2, 3, 5, 1, 1, 1, 2, 3, 5, 1, 1, 1, 2, 3, 5, 1, 1, 1, 2, 3, 5, 1, 1], ['77843519/180184321', '65479682/151565759', '12363837/28618562', '3660497/8472949', '1382346/3199715', '895805/2073519', '486541/1126196', '409264/947323', '77277/178873', '22879/52958', '8640/19999', '5599/12960', '3041/7039', '2558/5921', '483/1118', '143/331', '54/125', '35/81', '19/44', '16/37', '3/7', '1/2', '0/1', '1/0', '0/1'], matrix([[143323201, 77843519], [331750080, 180184321]])) Discriminant of quadratic order and factorisation : 229 Mat([229, 1]) Class group : structure, generators, unit : [3, [3], [Qfb(3, 11, -9)], 2.71246530518434] unit = 7 + w norm unit = -1 List and structure of elments in class group : [((0,), Qfb(1, 15, -1)), ((1,), Qfb(3, 11, -9)), ((2,), Qfb(9, 11, -3))] Group element : Sturm CF expansion a0-1/(a1-1/(...)): (0,) ([0, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15], ['-4605202557132987327/5412391426842635121', '703453488999238562/-4605202557132987327', '3289739181587985859/703453488999238562', '6697597986308105525/3289739181587985859', '-4940510244485838936/6697597986308105525', '7018275358757483101/-4940510244485838936', '465823816409224245/7018275358757483101', '30918112619119426/465823816409224245', '2052127122432855/30918112619119426', '136205782626601/2052127122432855', '9040383033840/136205782626601', '600037119001/9040383033840', '39826248825/600037119001', '2643386626/39826248825', '175449435/2643386626', '11645101/175449435', '772920/11645101', '51301/772920', '3405/51301', '226/3405', '15/226', '1/15', '0/1', '1/0', '0/1'], matrix([[ 5412391426842635121, -4605202557132987327], [ 2793692550668333024, 5412391426842635121]])) (1,) ([0, 1, 2, 4, 1, 2, 4, 1, 2, 4, 1, 2, 4, 1, 2, 4, 1, 2, 4, 1, 2, 4, 1, 2], ['128869031/187094536', '104805909/152159233', '24063122/34935303', '8553421/12418021', '6956280/10099261', '1597141/2318760', '567716/824221', '461709/670318', '106007/153903', '37681/54706', '30645/44491', '7036/10215', '2501/3631', '2034/2953', '467/678', '166/241', '135/196', '31/45', '11/16', '9/13', '2/3', '1/1', '0/1', '1/0', '0/1'], matrix([[362543971, 128869031], [526348305, 187094536]])) (2,) ([0, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2], ['163804334/713442841', '34935303/152159233', '24063122/104805909', '10872181/47353324', '2318760/10099261', '1597141/6956280', '721619/3142981', '153903/670318', '106007/461709', '47896/208609', '10215/44491', '7036/30645', '3179/13846', '678/2953', '467/2034', '211/919', '45/196', '31/135', '14/61', '3/13', '2/9', '1/4', '0/1', '1/0', '0/1'], matrix([[ 362543971, 163804334], [1579044915, 713442841]])) Discriminant of quadratic order and factorisation : 876 [2, 2; 3, 1; 73, 1] Class group : structure, generators, unit : [4, [4], [Qfb(5, 24, -15)], 4.99716661687553] unit = 74 + 5*w norm unit = 1 List and structure of elments in class group : [((0,), Qfb(1, 28, -23)), ((1,), Qfb(5, 24, -15)), ((2,), Qfb(25, 24, -3)), ((3,), Qfb(-7, 22, 14))] Group element : Sturm CF expansion a0-1/(a1-1/(...)): (0,) ([0, 1, 3, 1, 28, 1, 3, 1, 28, 1, 3, 1, 28, 1, 3, 1, 28, 1, 3, 1, 28, 1, 3, 1], ['226417881872/283501261471', '57083379599/71474964749', '55167743075/69076367224', '1915636524/2398597525', '1529920403/1915636524', '385716121/482961001', '372772040/466753521', '12944081/16207480', '10337772/12944081', '2606309/3263399', '2518845/3153884', '87464/109515', '69853/87464', '17611/22051', '17020/21311', '591/740', '472/591', '119/149', '115/144', '4/5', '3/4', '1/1', '0/1', '1/0', '0/1'], matrix([[283501261471, 226417881872], [354976226220, 283501261471]])) (1,) ([0, 1, 1, 3, 1, 2, 5, 1, 1, 3, 1, 2, 5, 1, 1, 3, 1, 2, 5, 1, 1, 3, 1, 2], ['16316995/29151561', '12725051/22734278', '3591944/6417283', '1949219/3482429', '1642725/2934854', '306494/547575', '110255/196979', '85984/153617', '24271/43362', '13171/23531', '11100/19831', '2071/3700', '745/1331', '581/1038', '164/293', '89/159', '75/134', '14/25', '5/9', '4/7', '1/2', '1/1', '0/1', '1/0', '0/1'], matrix([[45359041, 16316995], [81037400, 29151561]])) (2,) ([0, 8, 1, 13, 1, 8, 1, 13, 1, 8, 1, 13, 1, 8, 1, 13, 1, 8, 1, 13, 1, 8, 1, 13], ['71474964749/638477487691', '64279172174/574198315517', '7195792575/64279172174', '6712831574/59964938125', '482961001/4314234049', '434338561/3879895488', '48622440/434338561', '45359041/405187000', '3263399/29151561', '2934854/26216707', '328545/2934854', '306494/2737875', '22051/196979', '19831/177148', '2220/19831', '2071/18500', '149/1331', '134/1197', '15/134', '14/125', '1/9', '1/8', '0/1', '1/0', '0/1'], matrix([[ 993453713911, 71474964749], [8874405655500, 638477487691]])) (3,) ([-1, 2, 5, 2, 1, 3, 1, 1, 5, 2, 1, 3, 1, 1, 5, 2, 1, 3, 1, 1, 5, 2, 1, 3], ['-61566521/113452360', '-42205157/77774001', '-19361364/35678359', '-3482429/6417283', '-1949219/3591944', '-1533210/2825339', '-416009/766605', '-285183/525524', '-130826/241081', '-23531/43362', '-13171/24271', '-10360/19091', '-2811/5180', '-1927/3551', '-884/1629', '-159/293', '-89/164', '-70/129', '-19/35', '-13/24', '-6/11', '-1/2', '-1/1', '1/0', '0/1'], matrix([[-226904720, -61566521], [ 418131081, 113452360]])) Discriminant of quadratic order and factorisation : 145 [5, 1; 29, 1] Class group : structure, generators, unit : [4, [4], [Qfb(2, 9, -8)], 3.17978543769988] unit = 11 + 2*w norm unit = -1 List and structure of elments in class group : [((0,), Qfb(1, 11, -6)), ((1,), Qfb(2, 9, -8)), ((2,), Qfb(4, 9, -4)), ((3,), Qfb(8, 9, -2))] Group element : Sturm CF expansion a0-1/(a1-1/(...)): (0,) ([0, 1, 1, 11, 1, 1, 11, 1, 1, 11, 1, 1, 11, 1, 1, 11, 1, 1, 11, 1, 1, 11, 1, 1], ['2513967061/4827150817', '2313183756/4441620191', '200783305/385530626', '104567401/200783305', '96215904/184747321', '8351497/16035984', '4349437/8351497', '4002060/7684487', '347377/667010', '180913/347377', '166464/319633', '14449/27744', '7525/14449', '6924/13295', '601/1154', '313/601', '288/553', '25/48', '13/25', '12/23', '1/2', '1/1', '0/1', '1/0', '0/1'], matrix([[4827150817, 2513967061], [9268771008, 4827150817]])) (1,) ([0, 1, 3, 5, 1, 3, 5, 1, 3, 5, 1, 3, 5, 1, 3, 5, 1, 3, 5, 1, 3, 5, 1, 3], ['3670558939/4827150817', '3084245008/4056089565', '586313931/771061252', '152675353/200783305', '128287872/168711337', '24387481/32071968', '6350467/8351497', '5336080/7017477', '1014387/1334020', '264145/347377', '221952/291889', '42193/55488', '10987/14449', '9232/12141', '1755/2308', '457/601', '384/505', '73/96', '19/25', '16/21', '3/4', '1/1', '0/1', '1/0', '0/1'], matrix([[14095921825, 3670558939], [18537542016, 4827150817]])) (2,) ([0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1], ['375121/986643', '264145/694754', '110976/291889', '42193/110976', '26590/69937', '15603/41039', '10987/28898', '4616/12141', '1755/4616', '1106/2909', '649/1707', '457/1202', '192/505', '73/192', '46/121', '27/71', '19/50', '8/21', '3/8', '2/5', '1/3', '1/2', '0/1', '1/0', '0/1'], matrix([[ 639266, 375121], [1681397, 986643]])) (3,) ([0, 5, 3, 1, 5, 3, 1, 5, 3, 1, 5, 3, 1, 5, 3, 1, 5, 3, 1, 5, 3, 1, 5, 3], ['4441620191/23364692833', '771061252/4056089565', '586313931/3084245008', '184747321/971844557', '32071968/168711337', '24387481/128287872', '7684487/40423465', '1334020/7017477', '1014387/5336080', '319633/1681397', '55488/291889', '42193/221952', '13295/69937', '2308/12141', '1755/9232', '553/2909', '96/505', '73/384', '23/121', '4/21', '3/16', '1/5', '0/1', '1/0', '0/1'], matrix([[14095921825, 4441620191], [74150168064, 23364692833]])) Discriminant of quadratic order and factorisation : 780 [2, 2; 3, 1; 5, 1; 13, 1] Class group : structure, generators, unit : [4, [2, 2], [Qfb(17, 10, -10), Qfb(19, 18, -6)], 3.33092655264125] unit = 14 + w norm unit = 1 List and structure of elments in class group : [((0, 0), Qfb(1, 26, -26)), ((0, 1), Qfb(19, 18, -6)), ((1, 0), Qfb(17, 24, -3)), ((1, 1), Qfb(-13, 26, 2))] Group element : Sturm CF expansion a0-1/(a1-1/(...)): (0, 0) ([0, 1, 26, 1, 26, 1, 26, 1, 26, 1, 26, 1, 26, 1, 26, 1, 26, 1, 26, 1, 26, 1, 26, 1], ['7613060523580486/7895399670214057', '282339146633571/292810020137711', '272242711107640/282339146633571', '10096435525931/10470873504140', '9735387433434/10096435525931', '361048092497/374437978209', '348137028512/361048092497', '12911063985/13389885712', '12449364902/12911063985', '461699083/478821727', '445188744/461699083', '16510339/17122644', '15919930/16510339', '590409/612305', '569296/590409', '21113/21896', '20358/21113', '755/783', '728/755', '27/28', '26/27', '1/1', '0/1', '1/0', '0/1'], matrix([[7895399670214057, 7613060523580486], [8188209690351768, 7895399670214057]])) (0, 1) ([0, 3, 1, 4, 1, 3, 1, 4, 1, 3, 1, 4, 1, 3, 1, 4, 1, 3, 1, 4, 1, 3, 1, 4], ['17734949/67878271', '14061119/53817152', '3673830/14061119', '3039629/11633795', '634201/2427324', '502825/1924499', '131376/502825', '108697/416024', '22679/86801', '17981/68820', '4698/17981', '3887/14877', '811/3104', '643/2461', '168/643', '139/532', '29/111', '23/88', '6/23', '5/19', '1/4', '1/3', '0/1', '1/0', '0/1'], matrix([[ 85000915, 17734949], [325330236, 67878271]])) (1, 0) ([0, 8, 1, 1, 1, 8, 1, 1, 1, 8, 1, 1, 1, 8, 1, 1, 1, 8, 1, 1, 1, 8, 1, 1], ['17734949/153491491', '15898034/137593457', '1836915/15898034', '1202714/10409185', '634201/5488849', '568513/4920336', '65688/568513', '43009/372232', '22679/196281', '20330/175951', '2349/20330', '1538/13311', '811/7019', '727/6292', '84/727', '55/476', '29/251', '26/225', '3/26', '2/17', '1/9', '1/8', '0/1', '1/0', '0/1'], matrix([[ 33632983, 17734949], [291084948, 153491491]])) (1, 1) ([-1, 1, 12, 2, 13, 2, 13, 2, 13, 2, 13, 2, 13, 2, 13, 2, 13, 2, 13, 2, 13, 2, 13, 2], ['-282339146633571/3806530261790243', '-20941747008280/282339146633571', '-10096435525931/136121355553820', '-748875956418/10096435525931', '-361048092497/4867693716717', '-26779771424/361048092497', '-12911063985/174068514256', '-957643454/12911063985', '-461699083/6224682451', '-34245288/461699083', '-16510339/222594372', '-1224610/16510339', '-590409/7959965', '-43792/590409', '-21113/284648', '-1566/21113', '-755/10179', '-56/755', '-27/364', '-2/27', '-1/13', '0/1', '-1/1', '1/0', '0/1'], matrix([[-585620040275422, -282339146633571], [7895399670214057, 3806530261790243]])) Discriminant of quadratic order and factorisation : 520 [2, 3; 5, 1; 13, 1] Class group : structure, generators, unit : [4, [2, 2], [Qfb(6, 16, -11), Qfb(3, 20, -10)], 4.73627538626766] unit = 57 + 5*w norm unit = -1 List and structure of elments in class group : [((0, 0), Qfb(1, 22, -9)), ((0, 1), Qfb(3, 20, -10)), ((1, 0), Qfb(11, 16, -6)), ((1, 1), Qfb(2, 20, -15))] Group element : Sturm CF expansion a0-1/(a1-1/(...)): (0, 0) ([0, 2, 2, 22, 2, 2, 22, 2, 2, 22, 2, 2, 22, 2, 2, 22, 2, 2, 22, 2, 2, 22, 2, 2], ['202034440815698/502880654821081', '98811773189685/245950784455558', '4410894436328/10979085909965', '1772095590469/4410894436328', '866703255390/2157297037309', '38689079689/96300361710', '15543502232/38689079689', '7602075225/18922202332', '339351782/844675025', '136336021/339351782', '66679740/165971461', '2976541/7408860', '1195838/2976541', '584865/1455778', '26108/64985', '10489/26108', '5130/12769', '229/570', '92/229', '45/112', '2/5', '1/2', '0/1', '1/0', '0/1'], matrix([[ 502880654821081, 202034440815698], [1251712094097720, 502880654821081]])) (0, 1) ([0, 2, 7, 7, 2, 7, 7, 2, 7, 7, 2, 7, 7, 2, 7, 7, 2, 7, 7, 2, 7, 7, 2, 7], ['234971698545593/502880654821081', '109790859099650/234971698545593', '15389980346293/32937257729895', '2060996675599/4410894436328', '963003617100/2060996675599', '134989441399/288901085130', '18077527307/38689079689', '8446750250/18077527307', '1184026807/2534025075', '158562601/339351782', '74088600/158562601', '10385401/22226580', '1390793/2976541', '649850/1390793', '91093/194955', '12199/26108', '5700/12199', '799/1710', '107/229', '50/107', '7/15', '1/2', '0/1', '1/0', '0/1'], matrix([[1754592748918801, 234971698545593], [3755136282293160, 502880654821081]])) (1, 0) ([0, 3, 4, 3, 1, 1, 3, 4, 3, 1, 1, 3, 4, 3, 1, 1, 3, 4, 3, 1, 1, 3, 4, 3], ['678703564/2194673293', '158562601/512732103', '44453160/143744881', '25203121/81497460', '19250039/62247421', '5953082/19250039', '1390793/4497304', '389910/1260823', '221063/714835', '168847/545988', '52216/168847', '12199/39447', '3420/11059', '1939/6270', '1481/4789', '458/1481', '107/346', '30/97', '17/55', '13/42', '4/13', '1/3', '0/1', '1/0', '0/1'], matrix([[2194673293, 678703564], [7096751982, 2194673293]])) (1, 1) ([0, 1, 2, 2, 1, 10, 1, 2, 2, 1, 10, 1, 2, 2, 1, 10, 1, 2, 2, 1, 10, 1, 2, 2], ['354169502/505323243', '121518301/173380321', '111132900/158562601', '10385401/14817720', '7278890/10385401', '3106511/4432319', '1065868/1520763', '974775/1390793', '91093/129970', '63845/91093', '27248/38877', '9349/13339', '8550/12199', '799/1140', '560/799', '239/341', '82/117', '75/107', '7/10', '5/7', '2/3', '1/1', '0/1', '1/0', '0/1'], matrix([[ 829857305, 354169502], [1184026807, 505323243]])) Discriminant of quadratic order and factorisation : 1756 [2, 2; 439, 1] Class group : structure, generators, unit : [5, [5], [Qfb(3, 38, -26)], 6.77992061614744] unit = 440 + 21*w norm unit = 1 List and structure of elments in class group : [((0,), Qfb(1, 40, -39)), ((1,), Qfb(3, 38, -26)), ((2,), Qfb(5, 36, -23)), ((3,), Qfb(23, 36, -5)), ((4,), Qfb(26, 38, -3))] Group element : Sturm CF expansion a0-1/(a1-1/(...)): (0,) ([0, 1, 19, 1, 40, 1, 19, 1, 40, 1, 19, 1, 40, 1, 19, 1, 40, 1, 19, 1, 40, 1, 19, 1], ['10050842348850200/10553984125255999', '503141776405799/528328883951441', '491148597140019/515735330178620', '11993179265780/12593553772821', '11421426508819/11993179265780', '571752756961/600374507041', '558124126560/586063632001', '13628630401/14310875040', '12978910520/13628630401', '649719881/682244639', '634232781/665982260', '15487100/16262379', '14748781/15487100', '738319/775279', '720720/756799', '17599/18480', '16760/17599', '839/881', '819/860', '20/21', '19/20', '1/1', '0/1', '1/0', '0/1'], matrix([[10553984125255999, 10050842348850200], [11082313009207440, 10553984125255999]])) (1,) ([0, 1, 1, 1, 6, 3, 13, 1, 1, 1, 6, 3, 13, 1, 1, 1, 6, 3, 13, 1, 1, 1, 6, 3], ['8869180307/13628630401', '1331964520/2046733917', '877393187/1348226899', '454571333/698507018', '422821854/649719881', '31749479/48787137', '10078627/15487100', '1513598/2325837', '997039/1532078', '516559/793759', '480480/738319', '36079/55440', '11453/17599', '1720/2643', '1133/1741', '587/902', '546/839', '41/63', '13/20', '2/3', '1/2', '1/1', '0/1', '1/0', '0/1'], matrix([[27939505441, 8869180307], [42932625120, 13628630401]])) (2,) ([0, 1, 1, 2, 3, 1, 3, 1, 7, 1, 1, 2, 3, 1, 3, 1, 7, 1, 1, 2, 3, 1, 3, 1], ['37951711/64274237', '10060147/17037658', '7771270/13161263', '2288877/3876395', '904639/1532078', '479599/812239', '425040/719839', '54559/92400', '43127/73039', '11432/19361', '8831/14956', '2601/4405', '1028/1741', '545/923', '483/818', '62/105', '49/83', '13/22', '10/17', '3/5', '1/2', '1/1', '0/1', '1/0', '0/1'], matrix([[48011858, 37951711], [81311895, 64274237]])) (3,) ([0, 7, 1, 3, 1, 3, 2, 1, 1, 7, 1, 3, 1, 3, 2, 1, 1, 7, 1, 3, 1, 3, 2, 1], ['33300037/259422785', '14711821/114611932', '3876395/30198921', '3082636/24015169', '793759/6183752', '701359/5463913', '92400/719839', '54559/425040', '37841/294799', '16718/130241', '4405/34317', '3503/27290', '902/7027', '797/6209', '105/818', '62/483', '43/335', '19/148', '5/39', '4/31', '1/8', '1/7', '0/1', '1/0', '0/1'], matrix([[ 48011858, 33300037], [374034717, 259422785]])) (4,) ([0, 13, 3, 6, 1, 1, 1, 13, 3, 6, 1, 1, 1, 13, 3, 6, 1, 1, 1, 13, 3, 6, 1, 1], ['14993119679/199670005921', '12946385762/172412745119', '2046733917/27257260802', '665982260/8869180307', '48787137/649719881', '31749479/422821854', '17037658/226898027', '14711821/195923827', '2325837/30974200', '756799/10078627', '55440/738319', '36079/480480', '19361/257839', '16718/222641', '2643/35198', '860/11453', '63/839', '41/546', '22/293', '19/253', '3/40', '1/13', '0/1', '1/0', '0/1'], matrix([[ 27939505441, 14993119679], [372082751040, 199670005921]])) Discriminant of quadratic order and factorisation : 401 Mat([401, 1]) Class group : structure, generators, unit : [5, [5], [Qfb(11, 7, -8)], 3.68950386898891] unit = 19 + 2*w norm unit = -1 List and structure of elments in class group : [((0,), Qfb(1, 19, -10)), ((1,), Qfb(2, 17, -14)), ((2,), Qfb(4, 17, -7)), ((3,), Qfb(7, 17, -4)), ((4,), Qfb(-5, 11, 14))] Group element : Sturm CF expansion a0-1/(a1-1/(...)): (0,) ([0, 1, 1, 19, 1, 1, 19, 1, 1, 19, 1, 1, 19, 1, 1, 19, 1, 1, 19, 1, 1, 19, 1, 1], ['86387657741/168563849761', '82176192020/160346230559', '4211465721/8217619202', '2158343321/4211465721', '2053122400/4006153481', '105220921/205312240', '53924901/105220921', '51296020/100091319', '2628881/5129602', '1347281/2628881', '1281600/2500721', '65681/128160', '33661/65681', '32020/62479', '1641/3202', '841/1641', '800/1561', '41/80', '21/41', '20/39', '1/2', '1/1', '0/1', '1/0', '0/1'], matrix([[168563849761, 86387657741], [328910080320, 168563849761]])) (1,) ([0, 1, 3, 9, 1, 3, 9, 1, 3, 9, 1, 3, 9, 1, 3, 9, 1, 3, 9, 1, 3, 9, 1, 3], ['127475753751/168563849761', '115046668828/152128611357', '12429084923/16435238404', '3184904521/4211465721', '2874371360/3800841241', '310533161/410624480', '79572911/105220921', '71814428/94961717', '7758483/10259204', '1988081/2628881', '1794240/2372561', '193841/256320', '49671/65681', '44828/59277', '4843/6404', '1241/1641', '1120/1481', '121/160', '31/41', '28/37', '3/4', '1/1', '0/1', '1/0', '0/1'], matrix([[497473930081, 127475753751], [657820160640, 168563849761]])) (2,) ([0, 2, 1, 1, 1, 4, 2, 1, 1, 1, 4, 2, 1, 1, 1, 4, 2, 1, 1, 1, 4, 2, 1, 1], ['2885201/7630323', '1988081/5257762', '897120/2372561', '193841/512640', '121756/322001', '72085/190639', '49671/131362', '22414/59277', '4843/12808', '3042/8045', '1801/4763', '1241/3282', '560/1481', '121/320', '76/201', '45/119', '31/82', '14/37', '3/8', '2/5', '1/3', '1/2', '0/1', '1/0', '0/1'], matrix([[ 4873282, 2885201], [12888085, 7630323]])) (3,) ([0, 4, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1, 1, 2, 4, 1, 1], ['2757041/12759925', '2244401/10387364', '512640/2372561', '193841/897120', '124958/578321', '68883/318799', '56075/259522', '12808/59277', '4843/22414', '3122/14449', '1721/7965', '1401/6484', '320/1481', '121/560', '78/361', '43/199', '35/162', '8/37', '3/14', '2/9', '1/5', '1/4', '0/1', '1/0', '0/1'], matrix([[ 5001442, 2757041], [23147289, 12759925]])) (4,) ([-1, 10, 3, 1, 9, 3, 1, 9, 3, 1, 9, 3, 1, 9, 3, 1, 9, 3, 1, 9, 3, 1, 9, 3], ['-1484204171041/1644550401600', '-152128611357/168563849761', '-115046668828/127475753751', '-37081942529/41088096010', '-3800841241/4211465721', '-2874371360/3184904521', '-926469881/1026561200', '-94961717/105220921', '-71814428/79572911', '-23147289/25648010', '-2372561/2628881', '-1794240/1988081', '-578321/640800', '-59277/65681', '-44828/49671', '-14449/16010', '-1481/1641', '-1120/1241', '-361/400', '-37/41', '-28/31', '-9/10', '-1/1', '1/0', '0/1'], matrix([[-4604741124480, -1484204171041], [ 5102215054561, 1644550401600]])) Discriminant of quadratic order and factorisation : 1708 [2, 2; 7, 1; 61, 1] Class group : structure, generators, unit : [6, [6], [Qfb(11, 38, -6)], 4.82021652283912] unit = 62 + 3*w norm unit = 1 List and structure of elments in class group : [((0,), Qfb(1, 40, -27)), ((1,), Qfb(11, 38, -6)), ((2,), Qfb(-3, 38, 22)), ((3,), Qfb(-33, 38, 2)), ((4,), Qfb(9, 32, -19)), ((5,), Qfb(23, 34, -6))] Group element : Sturm CF expansion a0-1/(a1-1/(...)): (0,) ([0, 1, 1, 1, 40, 1, 1, 1, 40, 1, 1, 1, 40, 1, 1, 1, 40, 1, 1, 1, 40, 1, 1, 1], ['38763634460/58380873751', '19617239291/29544999749', '19146395169/28835874002', '470844122/709125747', '312630289/470844122', '158213833/238281625', '154416456/232562497', '3797377/5719128', '2521376/3797377', '1276001/1921751', '1245375/1875626', '30626/46125', '20335/30626', '10291/15499', '10044/15127', '247/372', '164/247', '83/125', '81/122', '2/3', '1/2', '1/1', '0/1', '1/0', '0/1'], matrix([[58380873751, 38763634460], [87925873500, 58380873751]])) (1,) ([0, 6, 1, 1, 1, 1, 3, 6, 1, 1, 1, 1, 3, 6, 1, 1, 1, 1, 3, 6, 1, 1, 1, 1], ['5765253/38112145', '3751252/24798263', '2014001/13313882', '1737251/11484381', '276750/1829501', '76751/507375', '46497/307376', '30254/199999', '16243/107377', '14011/92622', '2232/14755', '619/4092', '375/2479', '244/1613', '131/866', '113/747', '18/119', '5/33', '3/20', '2/13', '1/7', '1/6', '0/1', '1/0', '0/1'], matrix([[ 9516505, 5765253], [62910408, 38112145]])) (2,) ([-1, 2, 4, 13, 1, 1, 4, 13, 1, 1, 4, 13, 1, 1, 4, 13, 1, 1, 4, 13, 1, 1, 4, 13], ['-146306747251/263777620500', '-32381502737/58380873751', '-16780736303/30254125496', '-15600766434/28126748255', '-1179969869/2127377241', '-261158137/470844122', '-135337321/244000753', '-125820816/226843369', '-9516505/17157384', '-2106251/3797377', '-1091501/1967876', '-1014750/1829501', '-76751/138375', '-16987/30626', '-8803/15871', '-8184/14755', '-619/1116', '-137/247', '-71/128', '-66/119', '-5/9', '-1/2', '-1/1', '1/0', '0/1'], matrix([[-1934369217000, -146306747251], [ 3487489940251, 263777620500]])) (3,) ([-1, 1, 18, 1, 4, 1, 19, 1, 4, 1, 19, 1, 4, 1, 19, 1, 4, 1, 19, 1, 4, 1, 19, 1], ['-28126748255/557809366496', '-1418251494/28126748255', '-1179969869/23401149651', '-238281625/4725598604', '-226843369/4498755235', '-11438256/226843369', '-9516505/188731224', '-1921751/38112145', '-1829501/36282644', '-92250/1829501', '-76751/1522125', '-15499/307376', '-14755/292621', '-744/14755', '-619/12276', '-125/2479', '-119/2360', '-6/119', '-5/99', '-1/20', '-1/19', '0/1', '-1/1', '1/0', '0/1'], matrix([[-29544999749, -28126748255], [585936114751, 557809366496]])) (4,) ([0, 1, 1, 13, 4, 1, 1, 13, 4, 1, 1, 13, 4, 1, 1, 13, 4, 1, 1, 13, 4, 1, 1, 13], ['30254125496/58380873751', '16780736303/32381502737', '13473389193/25999371014', '3307347110/6382131723', '244000753/470844122', '135337321/261158137', '108663432/209685985', '26673889/51472152', '1967876/3797377', '1091501/2106251', '876375/1691126', '215126/415125', '15871/30626', '8803/16987', '7068/13639', '1735/3348', '128/247', '71/137', '57/110', '14/27', '1/2', '1/1', '0/1', '1/0', '0/1'], matrix([[410084367751, 30254125496], [791332861500, 58380873751]])) (5,) ([0, 6, 3, 1, 1, 1, 1, 6, 3, 1, 1, 1, 1, 6, 3, 1, 1, 1, 1, 6, 3, 1, 1, 1], ['13360007/83865169', '7594754/47674775', '5765253/36190394', '1829501/11484381', '276750/1737251', '169001/1060875', '107749/676376', '61252/384499', '46497/291877', '14755/92622', '2232/14011', '1363/8556', '869/5455', '494/3101', '375/2354', '119/747', '18/113', '11/69', '7/44', '4/25', '3/19', '1/6', '0/1', '1/0', '0/1'], matrix([[ 20954761, 13360007], [131539944, 83865169]])) Discriminant of quadratic order and factorisation : 1384 [2, 3; 173, 1] Class group : structure, generators, unit : [6, [6], [Qfb(19, 4, -18)], 5.22577557753576] unit = 93 + 5*w norm unit = -1 List and structure of elments in class group : [((0,), Qfb(1, 36, -22)), ((1,), Qfb(3, 32, -30)), ((2,), Qfb(9, 32, -10)), ((3,), Qfb(-11, 30, 11)), ((4,), Qfb(10, 32, -9)), ((5,), Qfb(30, 32, -3))] Group element : Sturm CF expansion a0-1/(a1-1/(...)): (0,) ([0, 1, 1, 1, 1, 36, 1, 1, 1, 1, 36, 1, 1, 1, 1, 36, 1, 1, 1, 1, 36, 1, 1, 1], ['1435090441/2387538782', '727215361/1209857461', '707875080/1177681321', '19340281/32176140', '11624964/19340281', '7715317/12835859', '3909647/6504422', '3805670/6331437', '103977/172985', '62498/103977', '41479/69008', '21019/34969', '20460/34039', '559/930', '336/559', '223/371', '113/188', '110/183', '3/5', '2/3', '1/2', '1/1', '0/1', '1/0', '0/1'], matrix([[2162305802, 1435090441], [3597396243, 2387538782]])) (1,) ([0, 1, 6, 1, 1, 11, 1, 6, 1, 1, 11, 1, 6, 1, 1, 11, 1, 6, 1, 1, 11, 1, 6, 1], ['7259144766/8372473807', '1048976761/1209857461', '965284200/1113329041', '83692561/96528420', '44666029/51516421', '39026532/45011999', '5639497/6504422', '5189550/5985467', '449947/518955', '240133/276962', '209814/241993', '30319/34969', '27900/32179', '2419/2790', '1291/1489', '1128/1301', '163/188', '150/173', '13/15', '7/8', '6/7', '1/1', '0/1', '1/0', '0/1'], matrix([[8308121527, 7259144766], [9582331268, 8372473807]])) (2,) ([0, 3, 2, 5, 1, 3, 3, 2, 5, 1, 3, 3, 2, 5, 1, 3, 3, 2, 5, 1, 3, 3, 2, 5], ['2419714922/8372473807', '1048976761/3629572383', '321761400/1113329041', '83692561/289585260', '70683717/244573261', '13008844/45011999', '5639497/19513266', '1729850/5985467', '449947/1556865', '380009/1314872', '69938/241993', '30319/104907', '9300/32179', '2419/8370', '2043/7069', '376/1301', '163/564', '50/173', '13/45', '11/38', '2/7', '1/3', '0/1', '1/0', '0/1'], matrix([[13147551371, 2419714922], [45491941418, 8372473807]])) (3,) ([-1, 1, 2, 18, 3, 3, 18, 3, 3, 18, 3, 3, 18, 3, 3, 18, 3, 3, 18, 3, 3, 18, 3, 3], ['-2277734600041615/6957666515236182', '-745663060577232/2277734600041615', '-40745418309919/124462715111337', '-12245530998690/37405728037549', '-4008825313849/12245530998690', '-219055057143/669135041479', '-65834285275/201100252068', '-21552201318/65834285275', '-1177681321/3597396243', '-353937540/1081152901', '-115868701/353937540', '-6331437/19340281', '-1902835/5812482', '-622932/1902835', '-34039/103977', '-10230/31249', '-3349/10230', '-183/559', '-55/168', '-18/55', '-1/3', '0/1', '-1/1', '1/0', '0/1'], matrix([[-7578866860702077, -2277734600041615], [23150734145750161, 6957666515236182]])) (4,) ([0, 3, 1, 5, 2, 3, 3, 1, 5, 2, 3, 3, 1, 5, 2, 3, 3, 1, 5, 2, 3, 3, 1, 5], ['1242033601/4775077564', '952448341/3661748523', '289585260/1113329041', '83692561/321761400', '38507577/148044841', '6677407/25671718', '5120542/19686251', '1556865/5985467', '449947/1729850', '207024/795917', '35899/138016', '27529/105837', '8370/32179', '2419/9300', '1113/4279', '193/742', '148/569', '45/173', '13/50', '6/23', '1/4', '1/3', '0/1', '1/0', '0/1'], matrix([[ 7162616346, 1242033601], [27537136343, 4775077564]])) (5,) ([0, 11, 1, 1, 6, 1, 11, 1, 1, 6, 1, 11, 1, 1, 6, 1, 11, 1, 1, 6, 1, 11, 1, 1], ['1242033601/14325232692', '1145505181/13211903651', '96528420/1113329041', '83692561/965284200', '12835859/148044841', '6677407/77015154', '6158452/71029687', '518955/5985467', '449947/5189550', '69008/795917', '35899/414048', '33109/381869', '2790/32179', '2419/27900', '371/4279', '193/2226', '178/2053', '15/173', '13/150', '2/23', '1/12', '1/11', '0/1', '1/0', '0/1'], matrix([[ 2387538782, 1242033601], [27537136343, 14325232692]])) Discriminant of quadratic order and factorisation : 4348 [2, 2; 1087, 1] Class group : structure, generators, unit : [7, [7], [Qfb(19, 42, -34)], 7.68524339678145] unit = 1088 + 33*w norm unit = 1 List and structure of elments in class group : [((0,), Qfb(1, 64, -63)), ((1,), Qfb(19, 42, -34)), ((2,), Qfb(-3, 62, 42)), ((3,), Qfb(14, 62, -9)), ((4,), Qfb(9, 62, -14)), ((5,), Qfb(3, 64, -21)), ((6,), Qfb(-19, 34, 42))] Group element : Sturm CF expansion a0-1/(a1-1/(...)): (0,) ([0, 1, 31, 1, 64, 1, 31, 1, 64, 1, 31, 1, 64, 1, 31, 1, 64, 1, 31, 1, 64, 1, 31, 1], ['1513796967574214336/1561125542472445951', '47328574898231615/48808293810264449', '46611145729034271/48068434354248032', '717429169197344/739859456016417', '695678900404255/717429169197344', '21750268793089/22430286819073', '21420567818496/22090277806081', '329700974593/340009012992', '319705444544/329700974593', '9995530049/10308038399', '9844013025/10151784224', '151517024/156254175', '146923489/151517024', '4593535/4737151', '4523904/4665343', '69631/71808', '67520/69631', '2111/2177', '2079/2144', '32/33', '31/32', '1/1', '0/1', '1/0', '0/1'], matrix([[1561125542472445951, 1513796967574214336], [1609933836282710400, 1561125542472445951]])) (1,) ([0, 1, 1, 1, 2, 2, 1, 3, 5, 1, 2, 1, 1, 1, 2, 2, 1, 3, 5, 1, 2, 1, 1, 1], ['5742463/9115262', '3300991/5239807', '2441472/3875455', '859519/1364352', '722434/1146751', '137085/217601', '37009/58746', '26058/41363', '10951/17383', '4156/6597', '2639/4189', '1517/2408', '1122/1781', '395/627', '332/527', '63/100', '17/27', '12/19', '5/8', '2/3', '1/2', '1/1', '0/1', '1/0', '0/1'], matrix([[ 9043454, 5742463], [14355069, 9115262]])) (2,) ([-1, 2, 1, 10, 3, 21, 1, 1, 1, 10, 3, 21, 1, 1, 1, 10, 3, 21, 1, 1, 1, 10, 3, 21], ['-669709987585/1020027038976', '-216468806379/329700974593', '-20303568448/30924115197', '-13433121899/20459822623', '-6870446549/10464292574', '-6562675350/9995530049', '-307771199/468762525', '-99480171/151517024', '-9330686/14211453', '-6173311/9402494', '-3157375/4808959', '-3015936/4593535', '-141439/215424', '-45717/69631', '-4288/6531', '-2837/4321', '-1451/2210', '-1386/2111', '-65/99', '-21/32', '-2/3', '-1/2', '-1/1', '1/0', '0/1'], matrix([[-14280378545664, -669709987585], [ 21750268793089, 1020027038976]])) (3,) ([0, 7, 9, 3, 1, 1, 4, 7, 9, 3, 1, 1, 4, 7, 9, 3, 1, 1, 4, 7, 9, 3, 1, 1], ['381241166588/2709764065537', '288468820997/2050362116351', '92772345591/659401949186', '10151784224/72156268793', '1406287575/9995530049', '307771199/2187558450', '175202779/1245296249', '132568420/942262201', '42634359/303034048', '4665343/33160057', '646272/4593535', '141439/1005312', '80516/572287', '60923/433025', '19593/139262', '2144/15239', '297/2111', '65/462', '37/263', '28/199', '9/64', '1/7', '0/1', '1/0', '0/1'], matrix([[ 669709987585, 381241166588], [4760126181888, 2709764065537]])) (4,) ([0, 4, 1, 1, 3, 9, 7, 4, 1, 1, 3, 9, 7, 4, 1, 1, 3, 9, 7, 4, 1, 1, 3, 9], ['72156268793/329700974593', '20303568448/92772345591', '11245563449/51383937820', '9058004999/41388407771', '2187558450/9995530049', '307771199/1406287575', '33160057/151517024', '9330686/42634359', '5167999/23613947', '4162687/19020412', '1005312/4593535', '141439/646272', '15239/69631', '4288/19593', '2375/10852', '1913/8741', '462/2111', '65/297', '7/32', '2/9', '1/5', '1/4', '0/1', '1/0', '0/1'], matrix([[ 669709987585, 72156268793], [3060081116928, 329700974593]])) (5,) ([0, 3, 10, 1, 1, 1, 21, 3, 10, 1, 1, 1, 21, 3, 10, 1, 1, 1, 21, 3, 10, 1, 1, 1], ['216468806379/669709987585', '113232168214/350317051391', '103236638165/319392936194', '9995530049/30924115197', '3281337675/10151784224', '151517024/468762525', '99480171/307771199', '52036853/160991326', '47443318/146779873', '4593535/14211453', '1507968/4665343', '69631/215424', '45717/141439', '23914/73985', '21803/67454', '2111/6531', '693/2144', '32/99', '21/65', '11/34', '10/31', '1/3', '0/1', '1/0', '0/1'], matrix([[ 329700974593, 216468806379], [1020027038976, 669709987585]])) (6,) ([-1, 6, 3, 1, 2, 2, 1, 1, 1, 2, 1, 5, 3, 1, 2, 2, 1, 1, 1, 2, 1, 5, 3, 1], ['-75650800/90005869', '-23829371/28351098', '-4162687/4952575', '-3015936/3588223', '-1146751/1364352', '-722434/859519', '-424317/504833', '-298117/354686', '-126200/150147', '-45717/54392', '-34766/41363', '-10951/13029', '-1913/2276', '-1386/1649', '-527/627', '-332/395', '-195/232', '-137/163', '-58/69', '-21/25', '-16/19', '-5/6', '-1/1', '1/0', '0/1'], matrix([[-99480171, -75650800], [118356967, 90005869]])) Discriminant of quadratic order and factorisation : 577 Mat([577, 1]) Class group : structure, generators, unit : [7, [7], [Qfb(6, 13, -17)], 3.87163475638773] unit = 23 + 2*w norm unit = -1 List and structure of elments in class group : [((0,), Qfb(1, 23, -12)), ((1,), Qfb(6, 13, -17)), ((2,), Qfb(-4, 23, 3)), ((3,), Qfb(-6, 19, 9)), ((4,), Qfb(-9, 19, 6)), ((5,), Qfb(4, 17, -18)), ((6,), Qfb(-2, 21, 17))] Group element : Sturm CF expansion a0-1/(a1-1/(...)): (0,) ([0, 1, 1, 23, 1, 1, 23, 1, 1, 23, 1, 1, 23, 1, 1, 23, 1, 1, 23, 1, 1, 23, 1, 1], ['306683905705/600855418561', '294171512856/576341125823', '12512392849/24514292738', '6386477329/12512392849', '6125915520/12001899889', '260561809/510492960', '132993913/260561809', '127567896/249931151', '5426017/10630658', '2769505/5426017', '2656512/5204641', '112993/221376', '57673/112993', '55320/108383', '2353/4610', '1201/2353', '1152/2257', '49/96', '25/49', '24/47', '1/2', '1/1', '0/1', '1/0', '0/1'], matrix([[ 600855418561, 306683905705], [1177196544384, 600855418561]])) (1,) ([0, 1, 11, 3, 1, 11, 3, 1, 11, 3, 1, 11, 3, 1, 11, 3, 1, 11, 3, 1, 11, 3, 1, 11], ['551826833085/600855418561', '416742976546/453769662133', '135083856539/147085756428', '11491406929/12512392849', '8678380320/9449435089', '2813026609/3062957760', '239300493/260561809', '180721186/196777861', '58579307/63783948', '4983265/5426017', '3763392/4097761', '1219873/1328256', '103773/112993', '78370/85333', '25403/27660', '2161/2353', '1632/1777', '529/576', '45/49', '34/37', '11/12', '1/1', '0/1', '1/0', '0/1'], matrix([[6486838140481, 551826833085], [7063179266304, 600855418561]])) (2,) ([-1, 1, 6, 1, 5, 7, 1, 5, 7, 1, 5, 7, 1, 5, 7, 1, 5, 7, 1, 5, 7, 1, 5, 7], ['-73542878214/576341125823', '-12512392849/98057170952', '-10980913969/86055271063', '-1531478880/12001899889', '-260561809/2041971840', '-228669835/1792040689', '-31891974/249931151', '-5426017/42522632', '-4761889/37317991', '-664128/5204641', '-112993/885504', '-99163/777121', '-13830/108383', '-2353/18440', '-2065/16183', '-288/2257', '-49/384', '-43/337', '-6/47', '-1/8', '-1/7', '0/1', '-1/1', '1/0', '0/1'], matrix([[-527312540347, -73542878214], [4132445051713, 576341125823]])) (3,) ([-1, 1, 1, 2, 1, 1, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 3, 2, 2, 1, 1, 3, 2, 2], ['-4540513/10852034', '-1992384/4761889', '-555745/1328256', '-325149/777121', '-230596/551135', '-94553/225986', '-41490/99163', '-11573/27660', '-6771/16183', '-4802/11477', '-1969/4706', '-864/2065', '-241/576', '-141/337', '-100/239', '-41/98', '-18/43', '-5/12', '-3/7', '-2/5', '-1/2', '0/1', '-1/1', '1/0', '0/1'], matrix([[-11073410, -4540513], [ 26465957, 10852034]])) (4,) ([-1, 1, 2, 1, 1, 2, 2, 3, 1, 1, 2, 2, 3, 1, 1, 2, 2, 3, 1, 1, 2, 2, 3, 1], ['-4540513/16278051', '-1328256/4761889', '-555745/1992384', '-216766/777121', '-122213/438142', '-94553/338979', '-27660/99163', '-11573/41490', '-4514/16183', '-2545/9124', '-1969/7059', '-576/2065', '-241/864', '-94/337', '-53/190', '-41/147', '-12/43', '-5/18', '-2/7', '-1/4', '-1/3', '0/1', '-1/1', '1/0', '0/1'], matrix([[-5868769, -4540513], [21039940, 16278051]])) (5,) ([0, 1, 7, 5, 1, 7, 5, 1, 7, 5, 1, 7, 5, 1, 7, 5, 1, 7, 5, 1, 7, 5, 1, 7], ['527312540347/600855418561', '441257269284/502798247609', '86055271063/98057170952', '10980913969/12512392849', '9188873280/10470421009', '1792040689/2041971840', '228669835/260561809', '191351844/218039177', '37317991/42522632', '4761889/5426017', '3984768/4540513', '777121/885504', '99163/112993', '82980/94553', '16183/18440', '2065/2353', '1728/1969', '337/384', '43/49', '36/41', '7/8', '1/1', '0/1', '1/0', '0/1'], matrix([[4132445051713, 527312540347], [4708786177536, 600855418561]])) (6,) ([-1, 4, 11, 1, 3, 11, 1, 3, 11, 1, 3, 11, 1, 3, 11, 1, 3, 11, 1, 3, 11, 1, 3, 11], ['-1778051962945/2354393088768', '-453769662133/600855418561', '-416742976546/551826833085', '-37026685587/49028585476', '-9449435089/12512392849', '-8678380320/11491406929', '-771054769/1020985920', '-196777861/260561809', '-180721186/239300493', '-16056675/21261316', '-4097761/5426017', '-3763392/4983265', '-334369/442752', '-85333/112993', '-78370/103773', '-6963/9220', '-1777/2353', '-1632/2161', '-145/192', '-37/49', '-34/45', '-3/4', '-1/1', '1/0', '0/1'], matrix([[-20012341254528, -1778051962945], [ 26499179395009, 2354393088768]])) Discriminant of quadratic order and factorisation : 1596 [2, 2; 3, 1; 7, 1; 19, 1] Class group : structure, generators, unit : [8, [4, 2], [Qfb(13, 32, -11), Qfb(2, 38, -19)], 3.68825386736130] unit = 20 + w norm unit = 1 List and structure of elments in class group : [((0, 0), Qfb(1, 38, -38)), ((0, 1), Qfb(7, 28, -29)), ((1, 0), Qfb(5, 36, -15)), ((1, 1), Qfb(23, 26, -10)), ((2, 0), Qfb(-14, 14, 25)), ((2, 1), Qfb(-2, 38, 19)), ((3, 0), Qfb(17, 24, -15)), ((3, 1), Qfb(-10, 26, 23))] Group element : Sturm CF expansion a0-1/(a1-1/(...)): (0, 0) ([0, 1, 38, 1, 38, 1, 38, 1, 38, 1, 38, 1, 38, 1, 38, 1, 38, 1, 38, 1, 38, 1, 38, 1], ['396221903540111962/406387960309415761', '10166056769303799/10426892198423999', '9911746306567600/10166056769303799', '254310462736199/260835429120200', '247948722592038/254310462736199', '6361740144161/6524966384001', '6202597113920/6361740144161', '159143030241/163226239840', '155161964762/159143030241', '3981065479/4083209599', '3881476560/3981065479', '99588919/102144120', '97097638/99588919', '2491281/2555201', '2428960/2491281', '62321/63920', '60762/62321', '1559/1599', '1520/1559', '39/40', '38/39', '1/1', '0/1', '1/0', '0/1'], matrix([[406387960309415761, 396221903540111962], [416814852507839760, 406387960309415761]])) (0, 1) ([0, 2, 19, 2, 19, 2, 19, 2, 19, 2, 19, 2, 19, 2, 19, 2, 19, 2, 19, 2, 19, 2, 19, 2], ['198110951770055981/406387960309415761', '10166056769303799/20853784396847998', '4955873153283800/10166056769303799', '254310462736199/521670858240400', '123974361296019/254310462736199', '6361740144161/13049932768002', '3101298556960/6361740144161', '159143030241/326452479680', '77580982381/159143030241', '3981065479/8166419198', '1940738280/3981065479', '99588919/204288240', '48548819/99588919', '2491281/5110402', '1214480/2491281', '62321/127840', '30381/62321', '1559/3198', '760/1559', '39/80', '19/39', '1/2', '0/1', '1/0', '0/1'], matrix([[406387960309415761, 198110951770055981], [833629705015679520, 406387960309415761]])) (1, 0) ([0, 2, 1, 1, 7, 2, 1, 1, 7, 2, 1, 1, 7, 2, 1, 1, 7, 2, 1, 1, 7, 2, 1, 1], ['120030527/303877159', '81702512/206843441', '38328015/97033718', '5046482/12776005', '3002641/7601683', '2043841/5174322', '958800/2427361', '126241/319600', '75113/190161', '51128/129439', '23985/60722', '3158/7995', '1879/4757', '1279/3238', '600/1519', '79/200', '47/119', '32/81', '15/38', '2/5', '1/3', '1/2', '0/1', '1/0', '0/1'], matrix([[201733039, 120030527], [510720600, 303877159]])) (1, 1) ([-1, 1, 2, 1, 2, 3, 3, 1, 2, 3, 3, 1, 2, 3, 3, 1, 2, 3, 3, 1, 2, 3, 3, 1], ['-84257713/311542762', '-25552010/94478517', '-7601683/28107211', '-2746961/10156884', '-2107761/7793443', '-639200/2363441', '-190161/703120', '-68717/254081', '-52727/194958', '-15990/59123', '-4757/17589', '-1719/6356', '-1319/4877', '-400/1479', '-119/440', '-43/159', '-33/122', '-10/37', '-3/11', '-1/4', '-1/3', '0/1', '-1/1', '1/0', '0/1'], matrix([[-109809723, -84257713], [ 406021279, 311542762]])) (2, 0) ([-1, 13, 1, 1, 1, 12, 1, 1, 1, 12, 1, 1, 1, 12, 1, 1, 1, 12, 1, 1, 1, 12, 1, 1], ['-1325318359/1430017680', '-1228284641/1325318359', '-97033718/104699321', '-63880025/68926507', '-33153693/35772814', '-30726332/33153693', '-2427361/2619121', '-1598000/1724241', '-829361/894880', '-768639/829361', '-60722/65519', '-39975/43133', '-20747/22386', '-19228/20747', '-1519/1639', '-1000/1079', '-519/560', '-481/519', '-38/41', '-25/27', '-13/14', '-12/13', '-1/1', '1/0', '0/1'], matrix([[-2553603000, -1325318359], [ 2755336039, 1430017680]])) (2, 1) ([-1, 6, 1, 4, 1, 5, 1, 4, 1, 5, 1, 4, 1, 5, 1, 4, 1, 5, 1, 4, 1, 5, 1, 4], ['-610309519/715008840', '-520941404/610309519', '-89368115/104699321', '-74100829/86812914', '-15267286/17886407', '-13031685/15267286', '-2235601/2619121', '-1853680/2171681', '-381921/447440', '-325996/381921', '-55925/65519', '-46371/54326', '-9554/11193', '-8155/9554', '-1399/1639', '-1160/1359', '-239/280', '-204/239', '-35/41', '-29/34', '-6/7', '-5/6', '-1/1', '1/0', '0/1'], matrix([[-2962179480, -610309519], [ 3470344879, 715008840]])) (3, 0) ([0, 2, 7, 1, 1, 2, 7, 1, 1, 2, 7, 1, 1, 2, 7, 1, 1, 2, 7, 1, 1, 2, 7, 1], ['717564041/1529606599', '97033718/206843441', '38328015/81702512', '20377688/43438417', '17950327/38264095', '2427361/5174322', '958800/2043841', '509761/1086640', '449039/957201', '60722/129439', '23985/51128', '12752/27183', '11233/23945', '1519/3238', '600/1279', '319/680', '281/599', '38/81', '15/32', '8/17', '7/15', '1/2', '0/1', '1/0', '0/1'], matrix([[ 814597759, 717564041], [1736450040, 1529606599]])) (3, 1) ([-1, 1, 1, 1, 3, 3, 2, 1, 3, 3, 2, 1, 3, 3, 2, 1, 3, 3, 2, 1, 3, 3, 2, 1], ['-76592110/211953843', '-33217613/91923316', '-10156884/28107211', '-2746961/7601683', '-1916001/5302162', '-830960/2299521', '-254081/703120', '-68717/190161', '-47930/132637', '-20787/57524', '-6356/17589', '-1719/4757', '-1199/3318', '-520/1439', '-159/440', '-43/119', '-30/83', '-13/36', '-4/11', '-1/3', '-1/2', '0/1', '-1/1', '1/0', '0/1'], matrix([[-109809723, -76592110], [ 303877159, 211953843]])) Discriminant of quadratic order and factorisation : 1768 [2, 3; 13, 1; 17, 1] Class group : structure, generators, unit : [8, [4, 2], [Qfb(3, 38, -27), Qfb(21, 40, -2)], 3.73823603026154] unit = 21 + w norm unit = -1 List and structure of elments in class group : [((0, 0), Qfb(1, 42, -1)), ((0, 1), Qfb(21, 40, -2)), ((1, 0), Qfb(14, 40, -3)), ((1, 1), Qfb(7, 40, -6)), ((2, 0), Qfb(-9, 34, 17)), ((2, 1), Qfb(-13, 26, 21)), ((3, 0), Qfb(-3, 40, 14)), ((3, 1), Qfb(-6, 40, 7))] Group element : Sturm CF expansion a0-1/(a1-1/(...)): (0, 0) ([0, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42], ['-7993108946974707314/-9040836004908749767', '-5371653558742971667/-7993108946974707314', '-3744588364284516692/-5371653558742971667', '4327105151530316469/-3744588364284516692', '-1015563991462292230/4327105151530316469', '-8359439428182064719/-1015563991462292230', '-407245408297054736/-8359439428182064719', '8744867720294234193/-407245408297054736', '1243191813536141478/8744867720294234193', '-6575700300804604651/1243191813536141478', '721443341686262580/-6575700300804604651', '17167495791470221/721443341686262580', '408518444513298/17167495791470221', '9721121911705/408518444513298', '231324221688/9721121911705', '5504600809/231324221688', '130987710/5504600809', '3116989/130987710', '74172/3116989', '1765/74172', '42/1765', '1/42', '0/1', '1/0', '0/1'], matrix([[-9040836004908749767, -7993108946974707314], [ -326595605241613592, -9040836004908749767]])) (0, 1) ([0, 20, 1, 1, 20, 1, 1, 20, 1, 1, 20, 1, 1, 20, 1, 1, 20, 1, 1, 20, 1, 1, 20, 1], ['225819620879/4631989034569', '11009201618/225819620879', '5635588519/115596616989', '5373613099/110223003890', '261975420/5373613099', '134104699/2750741910', '127870721/2622871189', '6233978/127870721', '3191161/65456769', '3042817/62413952', '148344/3042817', '75937/1557612', '72407/1485205', '3530/72407', '1807/37065', '1723/35342', '84/1723', '43/882', '41/841', '2/41', '1/21', '1/20', '0/1', '1/0', '0/1'], matrix([[ 236828822497, 225819620879], [4857808655448, 4631989034569]])) (1, 0) ([0, 13, 1, 2, 13, 1, 2, 13, 1, 2, 13, 1, 2, 13, 1, 2, 13, 1, 2, 13, 1, 2, 13, 1], ['220315020070/3012719482753', '16513802427/225819620879', '5635588519/77064411326', '5242625389/71690798227', '392963130/5373613099', '134104699/1833827940', '124753732/1705957219', '9350967/127870721', '3191161/43637846', '2968645/40595029', '222516/3042817', '75937/1038408', '70642/966001', '5295/72407', '1807/24710', '1681/22987', '126/1723', '43/588', '40/547', '3/41', '1/14', '1/13', '0/1', '1/0', '0/1'], matrix([[ 236828822497, 220315020070], [3238539103632, 3012719482753]])) (1, 1) ([0, 6, 1, 5, 6, 1, 5, 6, 1, 5, 6, 1, 5, 6, 1, 5, 6, 1, 5, 6, 1, 5, 6, 1], ['203801217643/1393449930937', '33027604854/225819620879', '5635588519/38532205663', '4849662259/33158592564', '785926260/5373613099', '134104699/916913970', '115402765/789043249', '18701934/127870721', '3191161/21818923', '2746129/18776106', '445032/3042817', '75937/519204', '65347/446797', '10590/72407', '1807/12355', '1555/10632', '252/1723', '43/294', '37/253', '6/41', '1/7', '1/6', '0/1', '1/0', '0/1'], matrix([[ 236828822497, 203801217643], [1619269551816, 1393449930937]])) (2, 0) ([-1, 1, 1, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2], ['-93578213753/209305818452', '-22149390946/49541407281', '-4980649969/11140189328', '-2226791070/4980649969', '-527067829/1178889390', '-118519754/265092409', '-52988813/118519754', '-12542128/28052901', '-2820301/6308150', '-1260924/2820301', '-298453/667548', '-67112/150109', '-30005/67112', '-7102/15885', '-1597/3572', '-714/1597', '-169/378', '-38/85', '-17/38', '-4/9', '-1/2', '0/1', '-1/1', '1/0', '0/1'], matrix([[-209305818452, -93578213753], [ 468153044185, 209305818452]])) (2, 1) ([-1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1], ['-88292/143049', '-51227/82997', '-37065/60052', '-14162/22945', '-8741/14162', '-5421/8783', '-3320/5379', '-2101/3404', '-1219/1975', '-882/1429', '-337/546', '-208/337', '-129/209', '-79/128', '-50/81', '-29/47', '-21/34', '-8/13', '-5/8', '-3/5', '-2/3', '-1/2', '-1/1', '1/0', '0/1'], matrix([[-139519, -88292], [ 226046, 143049]])) (3, 0) ([-1, 1, 1, 1, 13, 2, 1, 13, 2, 1, 13, 2, 1, 13, 2, 1, 13, 2, 1, 13, 2, 1, 13, 2], ['-77064411326/225819620879', '-5635588519/16513802427', '-3801760579/11140189328', '-1833827940/5373613099', '-134104699/392963130', '-90466853/265092409', '-43637846/127870721', '-3191161/9350967', '-2152753/6308150', '-1038408/3042817', '-75937/222516', '-51227/150109', '-24710/72407', '-1807/5295', '-1219/3572', '-588/1723', '-43/126', '-29/85', '-14/41', '-1/3', '-1/2', '0/1', '-1/1', '1/0', '0/1'], matrix([[-159764411171, -77064411326], [ 468153044185, 225819620879]])) (3, 1) ([-1, 1, 4, 1, 6, 5, 1, 6, 5, 1, 6, 5, 1, 6, 5, 1, 6, 5, 1, 6, 5, 1, 6, 5], ['-38532205663/225819620879', '-5635588519/33027604854', '-4718674549/27653991755', '-916913970/5373613099', '-134104699/785926260', '-112285776/658055539', '-21818923/127870721', '-3191161/18701934', '-2671957/15659117', '-519204/3042817', '-75937/445032', '-63582/372625', '-12355/72407', '-1807/10590', '-1513/8867', '-294/1723', '-43/252', '-36/211', '-7/41', '-1/6', '-1/5', '0/1', '-1/1', '1/0', '0/1'], matrix([[-198296616834, -38532205663], [1162125709249, 225819620879]])) Discriminant of quadratic order and factorisation : 71285 [5, 1; 53, 1; 269, 1] Class group : structure, generators, unit : [16, [8, 2], [Qfb(31, 213, -209), Qfb(23, 243, -133)], 5.58723463069553] unit = 133 + w norm unit = 1 List and structure of elments in class group : [((0, 0), Qfb(1, 265, -265)), ((0, 1), Qfb(23, 243, -133)), ((1, 0), Qfb(35, 215, -179)), ((1, 1), Qfb(-17, 257, 77)), ((2, 0), Qfb(-119, 219, 49)), ((2, 1), Qfb(-67, 209, 103)), ((3, 0), Qfb(-101, 123, 139)), ((3, 1), Qfb(7, 261, -113)), ((4, 0), Qfb(-89, 199, 89)), ((4, 1), Qfb(-53, 265, 5)), ((5, 0), Qfb(101, 79, -161)), ((5, 1), Qfb(77, 191, -113)), ((6, 0), Qfb(119, 257, -11)), ((6, 1), Qfb(-67, 193, 127)), ((7, 0), Qfb(-31, 221, 181)), ((7, 1), Qfb(107, 175, -95))] Group element : Sturm CF expansion a0-1/(a1-1/(...)): (0, 0) ([0, 1, 265, 1, 265, 1, 265, 1, 265, 1, 265, 1, 265, 1, 265, 1, 265, 1, 265, 1, 265, 1, 265, 1], ['-382239050098566713/-1604594688059335535', '-1222355637960768822/-5013387971159193521', '-8499388317266757971/-1222355637960768822', '7277032679305989149/-3791032333198424699', '-4920593850962776/7277032679305989149', '7281953273156951925/7378679061205137768', '7185589759059696779/7281953273156951925', '96363514097255146/96725788048185843', '96002596996634705/96363514097255146', '360917100620441/362273950930697', '359565332217840/360917100620441', '1351768402601/1356850310256', '1346705528575/1351768402601', '5062874026/5081907655', '5043911685/5062874026', '18962341/19033629', '18891320/18962341', '71021/71288', '70755/71021', '266/267', '265/266', '1/1', '0/1', '1/0', '0/1'], matrix([[-1604594688059335535, -382239050098566713], [-6617982659218529056, -1604594688059335535]])) (0, 1) ([0, 1, 1, 11, 11, 1, 1, 11, 11, 1, 1, 11, 11, 1, 1, 11, 11, 1, 1, 11, 11, 1, 1, 11], ['1412751294461/2708618712857', '736857576346/1412751294461', '675893718115/1295867418396', '60963858231/116883876065', '5291277574/10144781681', '2759804917/5291277574', '2531472657/4853504107', '228332260/437773467', '19817797/37995970', '10336493/19817797', '9481304/18178173', '855189/1639624', '74225/142309', '38714/74225', '35511/68084', '3203/6141', '278/533', '145/278', '133/255', '12/23', '1/2', '1/1', '0/1', '1/0', '0/1'], matrix([[16277121815417, 1412751294461], [31207557135888, 2708618712857]])) (1, 0) ([0, 1, 2, 1, 7, 1, 6, 1, 2, 1, 7, 1, 6, 1, 2, 1, 7, 1, 6, 1, 2, 1, 7, 1], ['438201195/589971211', '56601871/76205804', '41988098/56530583', '14613773/19675221', '12760552/17180141', '1853221/2495080', '1641226/2209661', '211995/285419', '157261/211728', '54734/73691', '47793/64346', '6941/9345', '6147/8276', '794/1069', '589/793', '205/276', '179/241', '26/35', '23/31', '3/4', '2/3', '1/1', '0/1', '1/0', '0/1'], matrix([[494803066, 438201195], [666177015, 589971211]])) (1, 1) ([-1, 1, 2, 2, 2, 15, 3, 2, 2, 15, 3, 2, 2, 15, 3, 2, 2, 15, 3, 2, 2, 15, 3, 2], ['-1199311172951/4080714746078', '-391306889435/1331440771981', '-25390504646/86392430135', '-10449319745/35554319956', '-4491865156/15283790223', '-1465589433/4986739510', '-95096857/323571693', '-39136578/133164115', '-16823701/57243463', '-5489176/18677189', '-356173/1211896', '-146581/498749', '-63011/214398', '-20559/69953', '-1334/4539', '-549/1868', '-236/803', '-77/262', '-5/17', '-2/7', '-1/3', '0/1', '-1/1', '1/0', '0/1'], matrix([[-2789929235337, -1199311172951], [ 9492870264137, 4080714746078]])) (2, 0) ([-1, 1, 3, 1, 23, 2, 4, 1, 23, 2, 4, 1, 23, 2, 4, 1, 23, 2, 4, 1, 23, 2, 4, 1], ['-1118000650471/5544285117089', '-249013475095/1234884526536', '-121946750091/604747010945', '-5119974913/25390504646', '-4187327092/20765404087', '-932647821/4625100559', '-456735808/2265001851', '-19176205/95096857', '-15683093/77774140', '-3493112/17322717', '-1710645/8483272', '-71822/356173', '-58739/291293', '-13083/64880', '-6407/31773', '-269/1334', '-220/1091', '-49/243', '-24/119', '-1/5', '-1/4', '0/1', '-1/1', '1/0', '0/1'], matrix([[-1367014125566, -1118000650471], [ 6779169643625, 5544285117089]])) (2, 1) ([-1, 1, 1, 3, 4, 1, 1, 3, 2, 3, 4, 1, 1, 3, 2, 3, 4, 1, 1, 3, 2, 3, 4, 1], ['-247152025/571080158', '-57599903/133092827', '-16752413/38708850', '-7342664/16966277', '-2067085/4776296', '-1141409/2637389', '-925676/2138907', '-215733/498482', '-62744/144979', '-27501/63545', '-7742/17889', '-4275/9878', '-3467/8011', '-808/1867', '-235/543', '-103/238', '-29/67', '-16/37', '-13/30', '-3/7', '-1/2', '0/1', '-1/1', '1/0', '0/1'], matrix([[-304751928, -247152025], [ 704172985, 571080158]])) (3, 0) ([-1, 3, 2, 13, 1, 1, 1, 2, 2, 13, 1, 1, 1, 2, 2, 13, 1, 1, 1, 2, 2, 13, 1, 1], ['-1370350000/1922396529', '-1275324431/1789089838', '-95025569/133306691', '-39992034/56102855', '-15041501/21100981', '-9909032/13900893', '-5132469/7200088', '-4776563/6700805', '-355906/499283', '-149785/210126', '-56336/79031', '-37113/52064', '-19223/26967', '-17890/25097', '-1333/1870', '-561/787', '-211/296', '-139/195', '-72/101', '-67/94', '-5/7', '-2/3', '-1/1', '1/0', '0/1'], matrix([[-2645674431, -1370350000], [ 3711486367, 1922396529]])) (3, 1) ([0, 2, 2, 1, 37, 2, 2, 1, 37, 2, 2, 1, 37, 2, 2, 1, 37, 2, 2, 1, 37, 2, 2, 1], ['2901731203747/6779169643625', '1163737819366/2718782528167', '574255565015/1341604587291', '15226689336/35573353585', '10868059583/25390504646', '4358629753/10182848939', '2150800077/5024806768', '57029599/133235403', '40704914/95096857', '16324685/38138546', '8055544/18819765', '213597/499016', '152455/356173', '61142/142843', '30171/70487', '800/1869', '571/1334', '229/535', '113/264', '3/7', '2/5', '1/2', '0/1', '1/0', '0/1'], matrix([[4065469023113, 2901731203747], [9497952171792, 6779169643625]])) (4, 0) ([-1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1], ['-56603/148183', '-23763/62210', '-9077/23763', '-5609/14684', '-3468/9079', '-2141/5605', '-1327/3474', '-814/2131', '-513/1343', '-301/788', '-212/555', '-89/233', '-34/89', '-21/55', '-13/34', '-8/21', '-5/13', '-3/8', '-2/5', '-1/3', '-1/2', '0/1', '-1/1', '1/0', '0/1'], matrix([[-80366, -56603], [210393, 148183]])) (4, 1) ([-1, 1, 52, 5, 53, 5, 53, 5, 53, 5, 53, 5, 53, 5, 53, 5, 53, 5, 53, 5, 53, 5, 53, 5], ['1222355637960768822/-7455145439503533989', '508417592282571879/-1222355637960768822', '-7277032679305989149/1989471151288558729', '92841393414392/7277032679305989149', '-7281953273156951925/3688364695971717768', '-483628940240929215/7281953273156951925', '-96363514097255146/5126466766553849679', '-1811369754653485/96363514097255146', '-360917100620441/19200519399326941', '-6784251551280/360917100620441', '-1351768402601/71913066443568', '-25409538275/1351768402601', '-5062874026/269341105715', '-95168145/5062874026', '-18962341/1008782337', '-356440/18962341', '-71021/3778264', '-1335/71021', '-266/14151', '-5/266', '-1/53', '0/1', '-1/1', '1/0', '0/1'], matrix([[ 6620195782086415989, 1222355637960768822], [-1604594688059335535, -7455145439503533989]])) (5, 0) ([0, 1, 13, 2, 2, 1, 1, 1, 13, 2, 2, 1, 1, 1, 13, 2, 2, 1, 1, 1, 13, 2, 2, 1], ['1275324431/1370350000', '513765407/552046529', '247793617/266256942', '18178173/19532645', '11477368/12332557', '6700805/7200088', '4776563/5132469', '1924242/2067619', '928079/997231', '68084/73157', '42987/46190', '25097/26967', '17890/19223', '7207/7744', '3476/3735', '255/274', '161/173', '94/101', '67/72', '27/29', '13/14', '1/1', '0/1', '1/0', '0/1'], matrix([[1789089838, 1275324431], [1922396529, 1370350000]])) (5, 1) ([0, 2, 37, 1, 2, 2, 37, 1, 2, 2, 37, 1, 2, 2, 37, 1, 2, 2, 37, 1, 2, 2, 37, 1], ['50213625294782/101758691361545', '1341604587291/2718782528167', '574255565015/1163737819366', '193093457261/391306889435', '188068650493/381124040496', '5024806768/10182848939', '2150800077/4358629753', '723206614/1465589433', '704386849/1427450887', '18819765/38138546', '8055544/16324685', '2708677/5489176', '2638190/5346333', '70487/142843', '30171/61142', '10145/20559', '9881/20024', '264/535', '113/229', '38/77', '37/75', '1/2', '0/1', '1/0', '0/1'], matrix([[ 51555229882073, 50213625294782], [104477473889712, 101758691361545]])) (6, 0) ([0, 23, 1, 4, 2, 23, 1, 4, 2, 23, 1, 4, 2, 23, 1, 4, 2, 23, 1, 4, 2, 23, 1, 4], ['1367014125566/32559325538489', '1311113141361/31227884766508', '55900984205/1331440771981', '25390504646/604747010945', '5119974913/121946750091', '4910604994/116960010581', '209369919/4986739510', '95096857/2265001851', '19176205/456735808', '18392037/438058619', '784168/18677189', '356173/8483272', '71822/1710645', '68885/1640692', '2937/69953', '1334/31773', '269/6407', '258/6145', '11/262', '5/119', '1/24', '1/23', '0/1', '1/0', '0/1'], matrix([[ 6779169643625, 1367014125566], [161465186920464, 32559325538489]])) (6, 1) ([-1, 2, 4, 3, 2, 3, 1, 1, 4, 3, 2, 3, 1, 1, 4, 3, 2, 3, 1, 1, 4, 3, 2, 3], ['-704172985/1275253143', '-304751928/551903953', '-94669129/171445237', '-20744541/37568242', '-11690965/21172269', '-9053576/16395973', '-2637389/4776296', '-1141409/2067085', '-354571/642126', '-77696/140707', '-43787/79298', '-33909/61409', '-9878/17889', '-4275/7742', '-1328/2405', '-291/527', '-164/297', '-127/230', '-37/67', '-16/29', '-5/9', '-1/2', '-1/1', '1/0', '0/1'], matrix([[-2417270883, -704172985], [ 4377663382, 1275253143]])) (7, 0) ([-1, 3, 1, 6, 1, 7, 1, 2, 1, 6, 1, 7, 1, 2, 1, 6, 1, 7, 1, 2, 1, 6, 1, 7], ['-437702179/590042499', '-381171596/513836695', '-56530583/76205804', '-41988098/56601871', '-14542485/19603933', '-12903128/17394005', '-1639357/2209928', '-1427629/1924509', '-211728/285419', '-157261/211995', '-54467/73424', '-48327/65147', '-6140/8277', '-5347/7208', '-793/1069', '-589/794', '-204/275', '-181/244', '-23/31', '-20/27', '-3/4', '-2/3', '-1/1', '1/0', '0/1'], matrix([[-3445086849, -437702179], [ 4644134188, 590042499]])) (7, 1) ([0, 2, 3, 15, 2, 2, 3, 15, 2, 2, 3, 15, 2, 2, 3, 15, 2, 2, 3, 15, 2, 2, 3, 15], ['4080714746078/9492870264137', '1199311172951/2789929235337', '482781227225/1123082558126', '233748718501/543764119085', '15283790223/35554319956', '4491865156/10449319745', '1808194755/4206360721', '875475646/2036598303', '57243463/133164115', '16823701/39136578', '6772360/15754381', '3278981/7627816', '214398/498749', '63011/146581', '25365/59006', '12281/28569', '803/1868', '236/549', '95/221', '46/107', '3/7', '1/2', '0/1', '1/0', '0/1'], matrix([[ 62410032364121, 4080714746078], [145182983197392, 9492870264137]])) Discriminant of quadratic order and factorisation : 157326845 [5, 1; 13, 1; 193, 1; 12541, 1] Class group : structure, generators, unit : [456, [114, 2, 2], [Qfb(2519, 8771, -7979), Qfb(5923, 7723, -4123), Qfb(13, 12519, -11567)], 9.43691801366848] unit = 6271 + w norm unit = 1 List and structure of elments in class group : [((0, 0, 0), Qfb(1, 12541, -12541)), ((0, 0, 1), Qfb(5, 12535, -10031)), ((0, 1, 0), Qfb(193, 12159, -12287)), ((0, 1, 1), Qfb(965, 10615, -11567)), ((1, 0, 0), Qfb(2849, 6981, -9529)), ((1, 0, 1), Qfb(-2419, 9253, 7411)), ((1, 1, 0), Qfb(-3665, 9145, 5027)), ((1, 1, 1), Qfb(-733, 12077, 3913)), ((2, 0, 0), Qfb(-3691, 6315, 7955)), ((2, 0, 1), Qfb(1591, 9595, -10255)), ((2, 1, 0), Qfb(-1783, 10265, 7285)), ((2, 1, 1), Qfb(2807, 7565, -8915)), ((3, 0, 0), Qfb(4921, 10631, -2251)), ((3, 0, 1), Qfb(2029, 10779, -5069)), ((3, 1, 0), Qfb(-1063, 12413, 763)), ((3, 1, 1), Qfb(-3503, 8219, 6407)), ((4, 0, 0), Qfb(781, 12423, -959)), ((4, 0, 1), Qfb(5351, 7999, -4361)), ((4, 1, 0), Qfb(-2693, 8701, 7577)), ((4, 1, 1), Qfb(4033, 6117, -7433)), ((5, 0, 0), Qfb(-3269, 8521, 6479)), ((5, 0, 1), Qfb(2089, 8733, -9701)), ((5, 1, 0), Qfb(-1447, 11199, 5513)), ((5, 1, 1), Qfb(-3073, 10327, 4123)), ((6, 0, 0), Qfb(3431, 9005, -5555)), ((6, 0, 1), Qfb(-5299, 2851, 7039)), ((6, 1, 0), Qfb(-3785, 10775, 2723)), ((6, 1, 1), Qfb(-757, 12289, 2083)), ((7, 0, 0), Qfb(3619, 11205, -2195)), ((7, 0, 1), Qfb(-6071, 819, 6451)), ((7, 1, 0), Qfb(-5707, 9867, 2627)), ((7, 1, 1), Qfb(-3827, 9067, 4907)), ((8, 0, 0), Qfb(4411, 9277, -4039)), ((8, 0, 1), Qfb(-1781, 10231, 7391)), ((8, 1, 0), Qfb(5467, 9445, -3115)), ((8, 1, 1), Qfb(5953, 11937, -623)), ((9, 0, 0), Qfb(-479, 11809, 9329)), ((9, 0, 1), Qfb(-809, 11811, 5509)), ((9, 1, 0), Qfb(-3293, 6931, 8297)), ((9, 1, 1), Qfb(-6227, 9893, 2387)), ((10, 0, 0), Qfb(2831, 7325, -9155)), ((10, 0, 1), Qfb(4999, 10987, -1831)), ((10, 1, 0), Qfb(385, 12115, -6853)), ((10, 1, 1), Qfb(77, 12423, -9727)), ((11, 0, 0), Qfb(4309, 9707, -3661)), ((11, 0, 1), Qfb(-6821, 10041, 2071)), ((11, 1, 0), Qfb(185, 12235, -10313)), ((11, 1, 1), Qfb(37, 12531, -2033)), ((12, 0, 0), Qfb(3649, 9089, -5119)), ((12, 0, 1), Qfb(5531, 9501, -3031)), ((12, 1, 0), Qfb(-3583, 8959, 5377)), ((12, 1, 1), Qfb(-3223, 6813, 8603)), ((13, 0, 0), Qfb(-6701, 10821, 1501)), ((13, 0, 1), Qfb(-5269, 8309, 4189)), ((13, 1, 0), Qfb(4085, 8465, -5243)), ((13, 1, 1), Qfb(817, 11733, -6017)), ((14, 0, 0), Qfb(-2911, 11713, 1729)), ((14, 0, 1), Qfb(-2579, 8255, 8645)), ((14, 1, 0), Qfb(-1867, 10881, 5213)), ((14, 1, 1), Qfb(-2353, 11037, 3773)), ((15, 0, 0), Qfb(-4829, 7693, 5081)), ((15, 0, 1), Qfb(1589, 11499, -3949)), ((15, 1, 0), Qfb(-5885, 11865, 703)), ((15, 1, 1), Qfb(-1177, 11865, 3515)), ((16, 0, 0), Qfb(745, 12045, -4109)), ((16, 0, 1), Qfb(149, 12343, -8351)), ((16, 1, 0), Qfb(1463, 10061, -9587)), ((16, 1, 1), Qfb(8477, 6333, -3457)), ((17, 0, 0), Qfb(869, 11931, -4309)), ((17, 0, 1), Qfb(4319, 8951, -4469)), ((17, 1, 0), Qfb(-3377, 12173, 677)), ((17, 1, 1), Qfb(2303, 10547, -5003)), ((18, 0, 0), Qfb(355, 12285, -4511)), ((18, 0, 1), Qfb(71, 12427, -10199)), ((18, 1, 0), Qfb(-5257, 10197, 2537)), ((18, 1, 1), Qfb(-2837, 9997, 5057)), ((19, 0, 0), Qfb(3505, 6355, -8341)), ((19, 0, 1), Qfb(701, 11963, -5069)), ((19, 1, 0), Qfb(-3643, 9619, 4447)), ((19, 1, 1), Qfb(-3073, 7233, 8543)), ((20, 0, 0), Qfb(5929, 12115, -445)), ((20, 0, 1), Qfb(5059, 12471, -89)), ((20, 1, 0), Qfb(-577, 11495, 10915)), ((20, 1, 1), Qfb(2003, 11585, -2885)), ((21, 0, 0), Qfb(-6671, 10575, 1705)), ((21, 0, 1), Qfb(-10841, 11939, 341)), ((21, 1, 0), Qfb(3935, 10225, -3353)), ((21, 1, 1), Qfb(787, 11799, -5753)), ((22, 0, 0), Qfb(1369, 12087, -2051)), ((22, 0, 1), Qfb(-5699, 10263, 2281)), ((22, 1, 0), Qfb(-5585, 12415, 143)), ((22, 1, 1), Qfb(-1117, 12415, 715)), ((23, 0, 0), Qfb(1295, 11125, -6479)), ((23, 0, 1), Qfb(259, 12161, -9109)), ((23, 1, 0), Qfb(3367, 6981, -8063)), ((23, 1, 1), Qfb(3577, 5647, -8767)), ((24, 0, 0), Qfb(6145, 7935, -3839)), ((24, 0, 1), Qfb(1229, 10393, -10031)), ((24, 1, 0), Qfb(-2165, 8685, 9457)), ((24, 1, 1), Qfb(-433, 12149, 5617)), ((25, 0, 0), Qfb(301, 12175, -7555)), ((25, 0, 1), Qfb(-2591, 11905, 1505)), ((25, 1, 0), Qfb(803, 12217, -2513)), ((25, 1, 1), Qfb(4373, 6339, -6697)), ((26, 0, 0), Qfb(-3431, 9099, 5431)), ((26, 0, 1), Qfb(1981, 8587, -10549)), ((26, 1, 0), Qfb(-1523, 11521, 4037)), ((26, 1, 1), Qfb(-6457, 7913, 3667)), ((27, 0, 0), Qfb(2951, 8775, -6805)), ((27, 0, 1), Qfb(4619, 11497, -1361)), ((27, 1, 0), Qfb(1135, 11045, -7783)), ((27, 1, 1), Qfb(227, 12407, -3737)), ((28, 0, 0), Qfb(6055, 8755, -3331)), ((28, 0, 1), Qfb(1211, 11177, -6689)), ((28, 1, 0), Qfb(4415, 5625, -7117)), ((28, 1, 1), Qfb(883, 10923, -10763)), ((29, 0, 0), Qfb(1645, 11205, -4829)), ((29, 0, 1), Qfb(329, 12521, -419)), ((29, 1, 0), Qfb(4277, 5941, -7133)), ((29, 1, 1), Qfb(-5137, 12027, 617)), ((30, 0, 0), Qfb(-751, 11699, 6811)), ((30, 0, 1), Qfb(-2269, 9297, 7811)), ((30, 1, 0), Qfb(-7285, 10885, 1333)), ((30, 1, 1), Qfb(-1457, 10885, 6665)), ((31, 0, 0), Qfb(-5101, 11267, 1489)), ((31, 0, 1), Qfb(1531, 11183, -5269)), ((31, 1, 0), Qfb(5203, 11389, -1327)), ((31, 1, 1), Qfb(-5363, 9583, 3053)), ((32, 0, 0), Qfb(-4039, 10341, 3119)), ((32, 0, 1), Qfb(1529, 11931, -2449)), ((32, 1, 0), Qfb(-6713, 11601, 847)), ((32, 1, 1), Qfb(1147, 11001, -7913)), ((33, 0, 0), Qfb(-1259, 11099, 6779)), ((33, 0, 1), Qfb(2999, 9045, -6295)), ((33, 1, 0), Qfb(407, 11939, -9083)), ((33, 1, 1), Qfb(2387, 8521, -8873)), ((34, 0, 0), Qfb(1001, 11895, -3955)), ((34, 0, 1), Qfb(3011, 10119, -4561)), ((34, 1, 0), Qfb(385, 11895, -10283)), ((34, 1, 1), Qfb(77, 12511, -2603)), ((35, 0, 0), Qfb(2555, 9735, -6121)), ((35, 0, 1), Qfb(511, 11779, -9091)), ((35, 1, 0), Qfb(-4273, 6617, 6643)), ((35, 1, 1), Qfb(1813, 9053, -10393)), ((36, 0, 0), Qfb(4411, 10773, -2339)), ((36, 0, 1), Qfb(5029, 4399, -6859)), ((36, 1, 0), Qfb(-4633, 6245, 6385)), ((36, 1, 1), Qfb(-5567, 11353, 1277)), ((37, 0, 0), Qfb(-359, 12195, 5995)), ((37, 0, 1), Qfb(-1391, 10153, 9749)), ((37, 1, 0), Qfb(2107, 8563, -9967)), ((37, 1, 1), Qfb(-4667, 5733, 6667)), ((38, 0, 0), Qfb(5381, 6145, -5555)), ((38, 0, 1), Qfb(10171, 10589, -1111)), ((38, 1, 0), Qfb(1415, 10285, -9107)), ((38, 1, 1), Qfb(283, 11983, -12133)), ((39, 0, 0), Qfb(-5111, 5235, 6355)), ((39, 0, 1), Qfb(-10001, 10319, 1271)), ((39, 1, 0), Qfb(-4567, 4481, 7513)), ((39, 1, 1), Qfb(3167, 12387, -307)), ((40, 0, 0), Qfb(2249, 11869, -1829)), ((40, 0, 1), Qfb(739, 12131, -3439)), ((40, 1, 0), Qfb(865, 12215, -2347)), ((40, 1, 1), Qfb(173, 12215, -11735)), ((41, 0, 0), Qfb(-4951, 7753, 4909)), ((41, 0, 1), Qfb(4319, 11419, -1559)), ((41, 1, 0), Qfb(235, 12145, -10453)), ((41, 1, 1), Qfb(47, 12521, -2933)), ((42, 0, 0), Qfb(-4055, 5665, 7721)), ((42, 0, 1), Qfb(-811, 12153, 2969)), ((42, 1, 0), Qfb(-4253, 6021, 7117)), ((42, 1, 1), Qfb(1777, 9593, -9187)), ((43, 0, 0), Qfb(31, 12489, -10901)), ((43, 0, 1), Qfb(7621, 4969, -4351)), ((43, 1, 0), Qfb(-1517, 10237, 8657)), ((43, 1, 1), Qfb(-1307, 11421, 5143)), ((44, 0, 0), Qfb(121, 12357, -9569)), ((44, 0, 1), Qfb(6131, 6559, -4661)), ((44, 1, 0), Qfb(2537, 9509, -6593)), ((44, 1, 1), Qfb(5537, 9861, -2713)), ((45, 0, 0), Qfb(-1861, 11667, 2849)), ((45, 0, 1), Qfb(2531, 12303, -589)), ((45, 1, 0), Qfb(4007, 12023, -797)), ((45, 1, 1), Qfb(-1763, 11057, 4973)), ((46, 0, 0), Qfb(2695, 11895, -1469)), ((46, 0, 1), Qfb(539, 11895, -7345)), ((46, 1, 0), Qfb(3673, 8787, -5453)), ((46, 1, 1), Qfb(-1667, 9239, 10793)), ((47, 0, 0), Qfb(-1519, 12311, 949)), ((47, 0, 1), Qfb(2539, 8955, -7595)), ((47, 1, 0), Qfb(-6397, 12165, 365)), ((47, 1, 1), Qfb(-7363, 12457, 73)), ((48, 0, 0), Qfb(4771, 3159, -7721)), ((48, 0, 1), Qfb(-3959, 11865, 1045)), ((48, 1, 0), Qfb(1835, 9765, -8443)), ((48, 1, 1), Qfb(367, 11967, -9617)), ((49, 0, 0), Qfb(4955, 8525, -4271)), ((49, 0, 1), Qfb(991, 12489, -341)), ((49, 1, 0), Qfb(-2513, 8605, 8285)), ((49, 1, 1), Qfb(-2303, 11919, 1657)), ((50, 0, 0), Qfb(4655, 8465, -4601)), ((50, 0, 1), Qfb(931, 12189, -2351)), ((50, 1, 0), Qfb(-3235, 7315, 8023)), ((50, 1, 1), Qfb(-647, 12491, 503)), ((51, 0, 0), Qfb(6401, 9793, -2399)), ((51, 0, 1), Qfb(-2149, 11559, 2759)), ((51, 1, 0), Qfb(5197, 8681, -3943)), ((51, 1, 1), Qfb(-4217, 11127, 1987)), ((52, 0, 0), Qfb(3649, 6219, -8129)), ((52, 0, 1), Qfb(1211, 10831, -8261)), ((52, 1, 0), Qfb(-4115, 10955, 2267)), ((52, 1, 1), Qfb(-823, 10955, 11335)), ((53, 0, 0), Qfb(1645, 9795, -9329)), ((53, 0, 1), Qfb(329, 12427, -2201)), ((53, 1, 0), Qfb(-3415, 9945, 4277)), ((53, 1, 1), Qfb(-683, 11311, 10757)), ((54, 0, 0), Qfb(-2521, 7681, 9751)), ((54, 0, 1), Qfb(2021, 11487, -3139)), ((54, 1, 0), Qfb(-3113, 6695, 9035)), ((54, 1, 1), Qfb(5053, 3817, -7063)), ((55, 0, 0), Qfb(-4769, 4721, 7079)), ((55, 0, 1), Qfb(2821, 10257, -4619)), ((55, 1, 0), Qfb(-6643, 12311, 217)), ((55, 1, 1), Qfb(1177, 10391, -10483)), ((56, 0, 0), Qfb(-5021, 8181, 4501)), ((56, 0, 1), Qfb(-3229, 9029, 5869)), ((56, 1, 0), Qfb(847, 12357, -1367)), ((56, 1, 1), Qfb(8473, 5427, -3773)), ((57, 0, 0), Qfb(-5611, 5607, 5609)), ((57, 0, 1), Qfb(1121, 12341, -1121)), ((57, 1, 0), Qfb(-2677, 9577, 6127)), ((57, 1, 1), Qfb(2153, 10791, -4747)), ((58, 0, 0), Qfb(5021, 11903, -779)), ((58, 0, 1), Qfb(-5869, 9029, 3229)), ((58, 1, 0), Qfb(-847, 11359, 8353)), ((58, 1, 1), Qfb(5867, 5643, -5347)), ((59, 0, 0), Qfb(4769, 4817, -7031)), ((59, 0, 1), Qfb(-2821, 12311, 511)), ((59, 1, 0), Qfb(-5885, 10795, 1733)), ((59, 1, 1), Qfb(-1177, 10795, 8665)), ((60, 0, 0), Qfb(2521, 12487, -139)), ((60, 0, 1), Qfb(3139, 11487, -2021)), ((60, 1, 0), Qfb(-1103, 12283, 1463)), ((60, 1, 1), Qfb(7063, 3817, -5053)), ((61, 0, 0), Qfb(-2711, 8453, 7919)), ((61, 0, 1), Qfb(-649, 12085, 4345)), ((61, 1, 0), Qfb(-4277, 9945, 3415)), ((61, 1, 1), Qfb(1237, 10203, -10757)), ((62, 0, 0), Qfb(-3649, 8377, 5971)), ((62, 0, 1), Qfb(-3781, 5691, 8261)), ((62, 1, 0), Qfb(4115, 5505, -7717)), ((62, 1, 1), Qfb(823, 12089, -3397)), ((63, 0, 0), Qfb(5791, 8573, -3619)), ((63, 0, 1), Qfb(-2759, 11559, 2149)), ((63, 1, 0), Qfb(4247, 6483, -6787)), ((63, 1, 1), Qfb(-1987, 11127, 4217)), ((64, 0, 0), Qfb(1301, 10285, -9905)), ((64, 0, 1), Qfb(3469, 8797, -5761)), ((64, 1, 0), Qfb(-853, 11789, 5377)), ((64, 1, 1), Qfb(-4265, 4965, 7777)), ((65, 0, 0), Qfb(1705, 11125, -4921)), ((65, 0, 1), Qfb(341, 12489, -991)), ((65, 1, 0), Qfb(-2497, 8477, 8557)), ((65, 1, 1), Qfb(2303, 11111, -3677)), ((66, 0, 0), Qfb(-5045, 4255, 6899)), ((66, 0, 1), Qfb(-1009, 12327, 1331)), ((66, 1, 0), Qfb(-1835, 12255, 973)), ((66, 1, 1), Qfb(-367, 12255, 4865)), ((67, 0, 0), Qfb(1519, 11993, -2221)), ((67, 0, 1), Qfb(4469, 9361, -3899)), ((67, 1, 0), Qfb(-365, 12165, 6397)), ((67, 1, 1), Qfb(-73, 12457, 7363)), ((68, 0, 0), Qfb(-2695, 9665, 5929)), ((68, 0, 1), Qfb(-539, 11821, 8159)), ((68, 1, 0), Qfb(5453, 8787, -3673)), ((68, 1, 1), Qfb(1667, 10765, -6215)), ((69, 0, 0), Qfb(1861, 10665, -5855)), ((69, 0, 1), Qfb(-2531, 7945, 9305)), ((69, 1, 0), Qfb(-4007, 12019, 803)), ((69, 1, 1), Qfb(-4973, 11057, 1763)), ((70, 0, 0), Qfb(-1349, 11713, 3731)), ((70, 0, 1), Qfb(4661, 6559, -6131)), ((70, 1, 0), Qfb(4817, 7229, -5453)), ((70, 1, 1), Qfb(-1573, 11843, 2713)), ((71, 0, 0), Qfb(-1619, 9313, 10901)), ((71, 0, 1), Qfb(1699, 10115, -8095)), ((71, 1, 0), Qfb(1517, 11001, -5983)), ((71, 1, 1), Qfb(3577, 9151, -5143)), ((72, 0, 0), Qfb(-4099, 8113, 5581)), ((72, 0, 1), Qfb(1919, 11599, -2969)), ((72, 1, 0), Qfb(5533, 11653, -973)), ((72, 1, 1), Qfb(2773, 10453, -4333)), ((73, 0, 0), Qfb(-611, 12389, 1571)), ((73, 0, 1), Qfb(-4319, 5857, 7121)), ((73, 1, 0), Qfb(-5977, 11143, 1387)), ((73, 1, 1), Qfb(-4543, 5595, 6935)), ((74, 0, 0), Qfb(1829, 11869, -2249)), ((74, 0, 1), Qfb(3971, 9453, -4279)), ((74, 1, 0), Qfb(-3265, 11255, 2347)), ((74, 1, 1), Qfb(-653, 11255, 11735)), ((75, 0, 0), Qfb(3991, 7475, -6355)), ((75, 0, 1), Qfb(-1271, 10319, 10001)), ((75, 1, 0), Qfb(1535, 10545, -7513)), ((75, 1, 1), Qfb(307, 12387, -3167)), ((76, 0, 0), Qfb(4549, 6977, -5971)), ((76, 0, 1), Qfb(-4961, 11631, 1111)), ((76, 1, 0), Qfb(-665, 11485, 9557)), ((76, 1, 1), Qfb(-133, 12283, 12133)), ((77, 0, 0), Qfb(-5621, 10267, 2309)), ((77, 0, 1), Qfb(1391, 12103, -1949)), ((77, 1, 0), Qfb(107, 12531, -703)), ((77, 1, 1), Qfb(-6667, 5733, 4667)), ((78, 0, 0), Qfb(-4411, 6871, 6241)), ((78, 0, 1), Qfb(-2569, 9319, 6859)), ((78, 1, 0), Qfb(4493, 6525, -6385)), ((78, 1, 1), Qfb(4307, 11633, -1277)), ((79, 0, 0), Qfb(2459, 9831, -6169)), ((79, 0, 1), Qfb(-3199, 6403, 9091)), ((79, 1, 0), Qfb(-2993, 10319, 4247)), ((79, 1, 1), Qfb(-1813, 9077, 10333)), ((80, 0, 0), Qfb(2551, 8279, -8701)), ((80, 0, 1), Qfb(4561, 10119, -3011)), ((80, 1, 0), Qfb(-3317, 7157, 7997)), ((80, 1, 1), Qfb(-3917, 10911, 2443)), ((81, 0, 0), Qfb(-4691, 7201, 5621)), ((81, 0, 1), Qfb(-2999, 8949, 6439)), ((81, 1, 0), Qfb(-1603, 10145, 8485)), ((81, 1, 1), Qfb(-4477, 9423, 3827)), ((82, 0, 0), Qfb(4039, 5815, -7645)), ((82, 0, 1), Qfb(2449, 11931, -1529)), ((82, 1, 0), Qfb(-5735, 9645, 2803)), ((82, 1, 1), Qfb(-1147, 11939, 3223)), ((83, 0, 0), Qfb(5101, 9137, -3619)), ((83, 0, 1), Qfb(-1531, 10251, 8531)), ((83, 1, 0), Qfb(1327, 11389, -5203)), ((83, 1, 1), Qfb(-4907, 6263, 6017)), ((84, 0, 0), Qfb(751, 12333, -1739)), ((84, 0, 1), Qfb(-5441, 8695, 3755)), ((84, 1, 0), Qfb(-2723, 7663, 9053)), ((84, 1, 1), Qfb(1507, 11689, -3433)), ((85, 0, 0), Qfb(4829, 11205, -1645)), ((85, 0, 1), Qfb(419, 12521, -329)), ((85, 1, 0), Qfb(-3085, 8325, 7133)), ((85, 1, 1), Qfb(-617, 12027, 5137)), ((86, 0, 0), Qfb(3331, 8755, -6055)), ((86, 0, 1), Qfb(-5699, 2201, 6689)), ((86, 1, 0), Qfb(6637, 8929, -2923)), ((86, 1, 1), Qfb(-1043, 10603, 10763)), ((87, 0, 0), Qfb(-3209, 8431, 6719)), ((87, 0, 1), Qfb(2149, 8703, -9491)), ((87, 1, 0), Qfb(-4397, 4521, 7783)), ((87, 1, 1), Qfb(3737, 12407, -227)), ((88, 0, 0), Qfb(3431, 11487, -1849)), ((88, 0, 1), Qfb(-1981, 11223, 3959)), ((88, 1, 0), Qfb(1523, 9801, -10057)), ((88, 1, 1), Qfb(-2807, 8475, 7615)), ((89, 0, 0), Qfb(3541, 8287, -6259)), ((89, 0, 1), Qfb(6491, 10009, -2201)), ((89, 1, 0), Qfb(2513, 12217, -803)), ((89, 1, 1), Qfb(-3037, 9983, 4747)), ((90, 0, 0), Qfb(5629, 6903, -4871)), ((90, 0, 1), Qfb(-1229, 11729, 4019)), ((90, 1, 0), Qfb(2165, 8635, -9557)), ((90, 1, 1), Qfb(433, 12099, -6317)), ((91, 0, 0), Qfb(-1295, 12185, 1709)), ((91, 0, 1), Qfb(-259, 12185, 8545)), ((91, 1, 0), Qfb(-2285, 9145, 8063)), ((91, 1, 1), Qfb(-457, 11887, 8767)), ((92, 0, 0), Qfb(2051, 12087, -1369)), ((92, 0, 1), Qfb(-2281, 10263, 5699)), ((92, 1, 0), Qfb(3323, 12467, -143)), ((92, 1, 1), Qfb(-2357, 10253, 5537)), ((93, 0, 0), Qfb(-1705, 10575, 6671)), ((93, 0, 1), Qfb(-341, 11939, 10841)), ((93, 1, 0), Qfb(5407, 7839, -4433)), ((93, 1, 1), Qfb(-1373, 11213, 5753)), ((94, 0, 0), Qfb(959, 11415, -7045)), ((94, 0, 1), Qfb(89, 12471, -5059)), ((94, 1, 0), Qfb(2147, 8731, -9443)), ((94, 1, 1), Qfb(-2003, 12451, 287)), ((95, 0, 0), Qfb(-1519, 10327, 8341)), ((95, 0, 1), Qfb(-4351, 8313, 5069)), ((95, 1, 0), Qfb(5093, 8169, -4447)), ((95, 1, 1), Qfb(-4193, 11303, 1763)), ((96, 0, 0), Qfb(4511, 12285, -355)), ((96, 0, 1), Qfb(-2299, 7971, 10199)), ((96, 1, 0), Qfb(-1903, 12005, 1735)), ((96, 1, 1), Qfb(2837, 7025, -9515)), ((97, 0, 0), Qfb(2119, 9685, -7495)), ((97, 0, 1), Qfb(-1499, 11301, 4939)), ((97, 1, 0), Qfb(4663, 3809, -7657)), ((97, 1, 1), Qfb(-2303, 12483, 163)), ((98, 0, 0), Qfb(101, 12407, -8399)), ((98, 0, 1), Qfb(-6181, 12035, 505)), ((98, 1, 0), Qfb(-3557, 7995, 6565)), ((98, 1, 1), Qfb(3457, 6333, -8477)), ((99, 0, 0), Qfb(4829, 11623, -1151)), ((99, 0, 1), Qfb(-1589, 10747, 6581)), ((99, 1, 0), Qfb(-703, 11865, 5885)), ((99, 1, 1), Qfb(-1417, 11323, 5137)), ((100, 0, 0), Qfb(-2005, 12485, 181)), ((100, 0, 1), Qfb(-401, 12485, 905)), ((100, 1, 0), Qfb(-5213, 10881, 1867)), ((100, 1, 1), Qfb(1507, 11601, -3773)), ((101, 0, 0), Qfb(-5621, 8661, 3661)), ((101, 0, 1), Qfb(-4189, 8309, 5269)), ((101, 1, 0), Qfb(5243, 8465, -4085)), ((101, 1, 1), Qfb(6017, 11733, -817)), ((102, 0, 0), Qfb(-3649, 5507, 8701)), ((102, 0, 1), Qfb(7001, 12441, -91)), ((102, 1, 0), Qfb(-7, 12535, 7165)), ((102, 1, 1), Qfb(3223, 12525, -35)), ((103, 0, 0), Qfb(3661, 9707, -4309)), ((103, 0, 1), Qfb(5251, 10669, -2071)), ((103, 1, 0), Qfb(-407, 11865, 10165)), ((103, 1, 1), Qfb(-2035, 11865, 2033)), ((104, 0, 0), Qfb(-1001, 10985, 9155)), ((104, 0, 1), Qfb(-7951, 6089, 3781)), ((104, 1, 0), Qfb(6853, 12115, -385)), ((104, 1, 1), Qfb(9727, 12423, -77)), ((105, 0, 0), Qfb(479, 12141, -5179)), ((105, 0, 1), Qfb(3241, 7243, -8089)), ((105, 1, 0), Qfb(3293, 6241, -8987)), ((105, 1, 1), Qfb(7607, 9203, -2387)), ((106, 0, 0), Qfb(-3851, 9697, 4109)), ((106, 0, 1), Qfb(-7301, 9959, 1991)), ((106, 1, 0), Qfb(-5767, 9245, 3115)), ((106, 1, 1), Qfb(-7853, 11737, 623)), ((107, 0, 0), Qfb(-4769, 10745, 2195)), ((107, 0, 1), Qfb(-599, 12501, 439)), ((107, 1, 0), Qfb(-2627, 9867, 5707)), ((107, 1, 1), Qfb(2333, 10561, -4907)), ((108, 0, 0), Qfb(779, 11657, -6881)), ((108, 0, 1), Qfb(-3479, 10155, 3895)), ((108, 1, 0), Qfb(-2485, 9725, 6313)), ((108, 1, 1), Qfb(-497, 11713, 10127)), ((109, 0, 0), Qfb(-5605, 6185, 5311)), ((109, 0, 1), Qfb(-1121, 10669, 9701)), ((109, 1, 0), Qfb(-6083, 10663, 1793)), ((109, 1, 1), Qfb(-4193, 9063, 4483)), ((110, 0, 0), Qfb(959, 12423, -781)), ((110, 0, 1), Qfb(5029, 8441, -4279)), ((110, 1, 0), Qfb(-5215, 8815, 3817)), ((110, 1, 1), Qfb(-1043, 10901, 9227)), ((111, 0, 0), Qfb(-1801, 11879, 2251)), ((111, 0, 1), Qfb(3761, 10369, -3311)), ((111, 1, 0), Qfb(-763, 12413, 1063)), ((111, 1, 1), Qfb(-4543, 5969, 6697)), ((112, 0, 0), Qfb(3691, 8449, -5821)), ((112, 0, 1), Qfb(-1591, 9497, 10549)), ((112, 1, 0), Qfb(-7285, 10265, 1783)), ((112, 1, 1), Qfb(-1457, 10265, 8915)), ((113, 0, 0), Qfb(4831, 9211, -3751)), ((113, 0, 1), Qfb(2419, 10099, -5719)), ((113, 1, 0), Qfb(-5027, 9145, 3665)), ((113, 1, 1), Qfb(-3913, 12077, 733))] Group element : Sturm CF expansion a0-1/(a1-1/(...)): (0, 0, 0) ([0, 1, 12541, 1, 12541, 1, 12541, 1, 12541, 1, 12541, 1, 12541, 1, 12541, 1, 12541, 1, 12541, 1, 12541, 1, 12541, 1], ['-8223514419824721149/3818455478668604417', '-6404774175216226050/2126287251109495807', '-3074279964521564163/-6404774175216226050', '-3330494210694661887/8531061426325721857', '1225033478808302080/-3330494210694661887', '-4555527689502963967/-6585188436689167872', '2531391256998057475/-4555527689502963967', '-7086918946501021442/-2029660747186203905', '3168952193688275709/-7086918946501021442', '8190872933520254465/5057258199314817537', '-7097504669039571968/8190872933520254465', '-3158366471149725183/-3133614734205436928', '-3183116234743371517/-3158366471149725183', '24749763593646334/24751736944288255', '24747790400331261/24749763593646334', '1973193315073/1973350641921', '1973036000768/1973193315073', '157314305/157326848', '157301763/157314305', '12542/12543', '12541/12542', '1/1', '0/1', '1/0', '0/1'], matrix([[ 3818455478668604417, -8223514419824721149], [ 5944742729778100224, 3818455478668604417]])) (0, 0, 1) ([0, 1, 191, 1, 63, 1, 191, 1, 63, 1, 191, 1, 63, 1, 191, 1, 63, 1, 191, 1, 63, 1, 191, 1], ['-6665244447042641471/7063773728027024897', '-4717725898639885248/-3108862997261148673', '8976686655116963329/-7885948227508781888', '4752331519952703039/4777085230247633215', '4727706077449497728/4752331519952703039', '24625442503205311/24753710294930176', '24246559337283327/24372853621039423', '378883165921984/380856673890753', '376919884198335/378883165921984', '1963281723649/1973507968769', '1933074981376/1943143887105', '30206742273/30364081664', '30050218177/30206742273', '156524096/157339391', '154115841/154918592', '2408255/2420799', '2395776/2408255', '12479/12544', '12287/12351', '192/193', '191/192', '1/1', '0/1', '1/0', '0/1'], matrix([[ 7063773728027024897, -6665244447042641471], [ 3954910730765876224, 7063773728027024897]])) (0, 1, 0) ([0, 2, 2, 5, 2, 2, 5, 2, 2, 1, 1, 2, 2, 5, 2, 2, 5, 2, 2, 1, 1, 2, 2, 5], ['319031203/784075468', '133658207/328488625', '51714789/127098218', '30228629/74292189', '21486160/52806029', '8742469/21486160', '4001222/9833709', '740025/1818742', '301097/739999', '137831/338744', '25435/62511', '10656/26189', '4123/10133', '2410/5923', '1713/4210', '697/1713', '319/784', '59/145', '24/59', '11/27', '2/5', '1/2', '0/1', '1/0', '0/1'], matrix([[1728814222, 319031203], [4248865965, 784075468]])) (0, 1, 1) ([-1, 1, 10, 10, 10, 11, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10], ['5881057535021433233/2671243440602179574', '9146791032871969377/-5633540165578550683', '-2499923458022471834/-9146791032871969377', '-247539076299943681/2747440827465354384', '-24532695023035024/272288839893590015', '-2212126069593441/24552428529454234', '-199308257507173/2212126069593441', '-19735237014538/219041763926383', '-1955887361793/21708430329611', '-176363396608/1957460630273', '-15889999105/176363396608', '-1573406453/17463267585', '-155934575/1730720758', '-14060703/156060005', '-1266842/14060703', '-125441/1392272', '-12432/137983', '-1121/12442', '-101/1121', '-10/111', '-1/11', '0/1', '-1/1', '1/0', '0/1'], matrix([[-5829609911751904757, 5881057535021433233], [ 2632150166733693441, 2671243440602179574]])) (1, 0, 0) ([-1, 1, 5, 1, 110, 7, 1, 1, 6, 1, 110, 7, 1, 1, 6, 1, 110, 7, 1, 1, 6, 1, 110, 7], ['-219041606599535/1531320255457544', '-1975710544641/13812195878663', '-1713446689025/11978708804614', '-262263855616/1833487074049', '-139863555329/977786360320', '-122400300287/855700713729', '-17463255042/122085646591', '-157514993/1101187592', '-136605812/955011471', '-20909181/146176121', '-11150726/77954745', '-9758455/68221376', '-1392271/9733369', '-12558/87793', '-10891/76139', '-1667/11654', '-889/6215', '-778/5439', '-111/776', '-1/7', '-1/6', '0/1', '-1/1', '1/0', '0/1'], matrix([[-1535266956741386, -219041606599535], [10733053984081471, 1531320255457544]])) (1, 0, 1) ([-1, 2, 35, 2, 1, 22, 1, 1, 1, 1, 35, 2, 1, 22, 1, 1, 1, 1, 35, 2, 1, 22, 1, 1], ['-405903255297/800636329472', '-388754653951/766811044609', '-17148601346/33825284863', '-11485424339/22654777623', '-5663177007/11170507240', '-159070325/313763143', '-95715632/188797235', '-63354693/124965908', '-32360939/63831327', '-30993754/61134581', '-1367185/2696746', '-915684/1806169', '-451501/890577', '-12682/25015', '-7631/15052', '-5051/9963', '-2580/5089', '-2471/4874', '-109/215', '-73/144', '-36/71', '-1/2', '-1/1', '1/0', '0/1'], matrix([[-794657909248, -405903255297], [1567447374081, 800636329472]])) (1, 1, 0) ([0, 2, 1, 1, 2, 1, 1, 3, 1, 25, 3, 2, 1, 1, 2, 1, 1, 3, 1, 25, 3, 2, 1, 1], ['179929334/464542545', '125881547/325001671', '54047787/139540874', '17785973/45919923', '689868/1781105', '539273/1392298', '150595/388807', '87488/225877', '63107/162930', '24381/62947', '14345/37036', '10036/25911', '4309/11125', '1418/3661', '55/142', '43/111', '12/31', '7/18', '5/13', '2/5', '1/3', '1/2', '0/1', '1/0', '0/1'], matrix([[305810881, 179929334], [789544216, 464542545]])) (1, 1, 1) ([-1, 67, 1, 29, 1, 4, 1, 66, 1, 29, 1, 4, 1, 66, 1, 29, 1, 4, 1, 66, 1, 29, 1, 4], ['-4096675775301148/4157849802527547', '-3964462068926681/4023661801550071', '-132213706374467/134188000977476', '-130264584067138/132209773203267', '-1949122307329/1978227774209', '-1622511783424/1646740105473', '-326610523905/331487668736', '-316069687804/320789430529', '-10540836101/10698238207', '-10385440875/10540522526', '-155395226/157715681', '-129355959/131287580', '-26039267/26428101', '-25198891/25575176', '-840376/852925', '-827987/840351', '-12389/12574', '-10313/10467', '-2076/2107', '-2009/2039', '-67/68', '-66/67', '-1/1', '1/0', '0/1'], matrix([[-20351165170131273, -4096675775301148], [ 20655061011660259, 4157849802527547]])) (2, 0, 0) ([0, 8, 1, 227, 6, 8, 1, 227, 6, 8, 1, 227, 6, 8, 1, 227, 6, 8, 1, 227, 6, 8, 1, 227], ['-2985104312539707398/8666203802625882625', '23255958148774739/-1003529513580509923', '-3008360270688482137/-8777010757503159068', '5643394049947080219/-4574419748393443843', '24763577048139781/222763659147952374', '22062060019349932/198461846150022107', '2701517028789849/24301812997930267', '449923789031140/4047342166579971', '1974294603009/17759998450441', '1758914148097/15822518329864', '215380454912/1937480120577', '35870508801/322677365248', '157402106/1415929089', '140230739/1261462045', '17171367/154467044', '2859803/25725693', '12549/112886', '11180/100571', '1369/12315', '228/2051', '1/9', '1/8', '0/1', '1/0', '0/1'], matrix([[ 4934107738888605185, -2985104312539707398], [-7576882204427176960, 8666203802625882625]])) (2, 0, 1) ([0, 1, 3, 87, 2, 4, 3, 1, 3, 87, 2, 4, 3, 1, 3, 87, 2, 4, 3, 1, 3, 87, 2, 4], ['1039956260272911/1385291993301694', '517015822934278/688700003337821', '5924614404355/7891986626052', '1574369755393/2097166871297', '1201505138176/1600486012161', 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'-11431/25125', '-5617/12346', '-197/433', '-101/222', '-96/211', '-5/11', '-1/2', '0/1', '-1/1', '1/0', '0/1'], matrix([[-199312819985765, -189437099145824], [ 438083685179614, 416377142772179]])) (3, 0, 1) ([0, 3, 9, 1, 6, 1, 50, 3, 9, 1, 6, 1, 50, 3, 9, 1, 6, 1, 50, 3, 9, 1, 6, 1], ['136169060634949/422296880044246', '19725482749962/61174027226399', '17816164135177/55252716685852', '1909318614785/5921310540547', '632296602112/1960921820929', '12428808449/38545077760', '10856179662/33667932929', '1572628787/4877144831', '1420406940/4405063943', '152221847/472080888', '50410317/156335951', '990896/3073035', '865517/2684201', '125379/388834', '113243/351197', '12136/37637', '4019/12464', '79/245', '69/214', '10/31', '9/28', '1/3', '0/1', '1/0', '0/1'], matrix([[155894543384911, 136169060634949], [483470907270645, 422296880044246]])) (3, 1, 0) ([0, 1, 1, 9, 2, 1, 1, 3, 9, 1, 2, 1, 1, 9, 2, 1, 1, 3, 9, 1, 2, 1, 1, 9], ['164062439/312333241', '94085042/179114039', '69977397/133219202', '24107645/45894837', '21762107/41429528', '2345538/4465309', '652265/1241747', '388743/740068', '263522/501679', '125221/238389', '13080/24901', '7501/14280', '5579/10621', '1922/3659', '1735/3303', '187/356', '52/99', '31/59', '21/40', '10/19', '1/2', '1/1', '0/1', '1/0', '0/1'], matrix([[1570646993, 164062439], [2990113208, 312333241]])) (3, 1, 1) ([-1, 1, 6, 1, 2, 1, 30, 13, 7, 1, 2, 1, 30, 13, 7, 1, 2, 1, 30, 13, 7, 1, 2, 1], ['-5858537128195/45391784569623', '-2036910688513/15781928003080', '-1784715751169/13827928563463', '-252194937344/1953999439617', '-19351189761/149932486144', '-629470451/4877119745', '-467076231/3618893794', '-162394220/1258225951', '-142287791/1102441892', '-20106429/155784059', '-1542788/11953479', '-50185/388832', '-37238/288519', '-12947/100313', '-11344/87893', '-1603/12420', '-123/953', '-4/31', '-3/23', '-1/8', '-1/7', '0/1', '-1/1', '1/0', '0/1'], matrix([[-7895447816708, -5858537128195], [61173712572703, 45391784569623]])) (4, 0, 0) ([0, 1, 102, 1, 8, 3, 3, 1, 102, 1, 8, 3, 3, 1, 102, 1, 8, 3, 3, 1, 102, 1, 8, 3], ['1827323166399390/1845082692869287', '203253542849383/205228938740328', '201294823604326/203251182946663', '1958719245057/1977755793665', '1505460608512/1520091992833', '453258636545/457663800832', '145684698877/147100590337', '16204539914/16362029821', '16048379565/16204351769', '156160349/157678052', '120023967/121190465', '36136382/36487587', '11614821/11727704', '1291919/1304475', '1279469/1291904', '12450/12571', '9569/9662', '2881/2909', '926/935', '103/104', '102/103', '1/1', '0/1', '1/0', '0/1'], matrix([[5685223042047553, 1827323166399390], [5740477017348189, 1845082692869287]])) (4, 0, 1) ([-1, 1, 3, 2, 1, 8, 19, 2, 1, 1, 4, 2, 1, 8, 19, 2, 1, 1, 4, 2, 1, 8, 19, 2], ['-78191418370/339826004223', '-4090560763/17777896195', '-470763873/2045976518', '-324449779/1410084051', '-146314094/635892467', '-31821591/138299117', '-19027730/82695999', '-12793861/55603118', '-6233869/27092881', '-326123/1417356', 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2], ['-3939621575682/183521924352349', '-1990971248897/92746693536047', '-1948650326785/90775230816302', '-42320922112/1971462719745', '-1887909633/87945708032', '-786910186/36657143041', '-314089261/14631421950', '-158731664/7394299141', '-155357597/7237122809', '-3374067/157176332', '-150515/7011537', '-62737/2922518', '-25041/1166501', '-12655/589516', '-12386/576985', '-269/12531', '-12/559', '-5/233', '-2/93', '-1/47', '-1/46', '0/1', '-1/1', '1/0', '0/1'], matrix([[ -9870214400261, -3939621575682], [459790542240745, 183521924352349]])) (5, 0, 0) ([-1, 1, 1, 1, 1, 3, 1, 7, 1, 4, 1, 3, 1, 1, 2, 1, 1, 3, 1, 7, 1, 4, 1, 3], ['-5832493/14913628', '-4841605/12379937', '-990888/2533691', '-878053/2245173', '-112835/288518', '-88208/225547', '-24627/62971', '-14327/36634', '-10300/26337', '-4027/10297', '-2246/5743', '-1781/4554', '-465/1189', '-386/987', '-79/202', '-70/179', '-9/23', '-7/18', '-2/5', '-1/3', '-1/2', '0/1', '-1/1', '1/0', '0/1'], matrix([[-22339084, -5832493], [ 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'-15/64', '-4/17', '-3/13', '-1/4', '0/1', '-1/1', '1/0', '0/1'], matrix([[-11363959, -9319447], [ 48453608, 39736225]])) (5, 1, 1) ([0, 1, 3, 57, 1, 1, 6, 1, 2, 1, 3, 57, 1, 1, 6, 1, 2, 1, 3, 57, 1, 1, 6, 1], ['355086721022/472767165697', '54592378627/72685016319', '27532449260/36657067783', '27059929367/36027948536', '472519893/629119247', '126295466/168151457', '93633495/124664876', '32661971/43486581', '28309553/37691714', '4352418/5794867', '2195045/2922512', '2157373/2872355', '37672/50157', '10069/13406', '7465/9939', '2604/3467', '2257/3005', '347/462', '175/233', '172/229', '3/4', '1/1', '0/1', '1/0', '0/1'], matrix([[409679099649, 355086721022], [545452182016, 472767165697]])) (6, 0, 0) ([0, 1, 1, 1, 59, 2, 1, 1, 4, 1, 1, 1, 1, 1, 59, 2, 1, 1, 4, 1, 1, 1, 1, 1], ['195319595/293794687', '118694408/178537061', '76625187/115257626', '42069221/63279435', '34555966/51978191', '7513255/11301244', '4502946/6773215', '3010309/4528029', '1492637/2245186', '25035/37657', '15572/23423', '9463/14234', '6109/9189', '3354/5045', '2755/4144', '599/901', '359/540', '240/361', '119/179', '2/3', '1/2', '1/1', '0/1', '1/0', '0/1'], matrix([[314014003, 195319595], [472331748, 293794687]])) (6, 0, 1) ([-1, 3, 1, 12, 6, 1, 3, 8, 1, 2, 1, 12, 6, 1, 3, 8, 1, 2, 1, 12, 6, 1, 3, 8], ['-163305255681/219156299264', '-42321022456/56794979585', '-36342188313/48771360509', '-5978834143/8023619076', '-469183455/629646053', '-348632683/467866440', '-120550772/161779613', '-107531139/144307214', '-13019633/17472399', '-3374075/4528022', '-2897408/3888333', '-476667/639689', '-37406/50199', '-27795/37301', '-9611/12898', '-8573/11505', '-1038/1393', '-269/361', '-231/310', '-38/51', '-3/4', '-2/3', '-1/1', '1/0', '0/1'], matrix([[-1348763067904, -163305255681], [ 1810045373697, 219156299264]])) (6, 1, 0) ([-1, 1, 1, 1, 4, 1, 1, 4, 26, 3, 2, 1, 4, 1, 1, 4, 26, 3, 2, 1, 4, 1, 1, 4], ['-1729604431/4877458406', '-947962305/2673239401', '-781642126/2204219005', '-166320179/469020396', '-116361410/328137421', '-49958769/140882975', '-16443872/46371471', '-627153/1768562', '-137894/388859', '-75577/213126', '-62317/175733', '-13260/37393', '-9277/26161', '-3983/11232', '-1311/3697', '-50/141', '-11/31', '-6/17', '-5/14', '-1/3', '-1/2', '0/1', '-1/1', '1/0', '0/1'], matrix([[-7866380029, -1729604431], [22183073025, 4877458406]])) (6, 1, 1) ([0, 4, 2, 15, 19, 3, 1, 4, 2, 15, 19, 3, 1, 4, 2, 15, 19, 3, 1, 4, 2, 15, 19, 3], ['1166250386702159/5229379043763802', '61173240592159/274296211207563', '3958815451138/17751030820105', '1791008825089/8030748905988', '376797800960/1689533008129', '283817621249/1272616873472', '92980179711/416916134657', '4877082116/21868469501', '315619507/1415214138', '142789511/640257431', '30040485/134699276', '22627571/101460327', '7412914/33238949', '388829/1743480', '25163/112829', '11384/51045', '2395/10739', '1804/8089', '591/2650', '31/139', '2/9', '1/4', '0/1', '1/0', '0/1'], matrix([[ 3559924400698636, 1166250386702159], [15962433342498969, 5229379043763802]])) (7, 0, 0) ([0, 4, 6, 43, 1, 1, 5, 4, 6, 43, 1, 1, 5, 4, 6, 43, 1, 1, 5, 4, 6, 43, 1, 1], ['522938706743305/2178578951353936', '511096872296451/2129245499959607', '11841834446854/49333451394329', '1897991081729/7907090003460', '453887956480/1890911373569', '82439255809/343444509184', '41691677435/173688827649', '40747578374/169755681535', '944099061/3933146114', '151318751/630398633', '36186555/150754316', '6572531/27381369', '3323900/13847471', '3248631/13533898', '75269/313573', '12064/50259', '2885/12019', '524/2183', '265/1104', '259/1079', '6/25', '1/4', '0/1', '1/0', '0/1'], matrix([[1034035579039756, 522938706743305], [4307824451313543, 2178578951353936]])) (7, 0, 1) ([0, 1, 1, 140, 2, 2, 8, 1, 1, 140, 2, 2, 8, 1, 1, 140, 2, 2, 8, 1, 1, 140, 2, 2], ['558459490278427/1112969604716596', '278239765954445/554511845033497', '1979958369537/3945914649602', '1045594219265/2083794089217', '934364150272/1862120560385', '111230068993/221673528832', 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2, 3, 6, 4, 15, 4, 2, 3, 6, 4], ['86829788147244/384803217847747', '13803857555719/61174499206943', '4006642812930/17756222606089', '1783929116929/7905831388676', '438784579072/1944559828737', '28790800641/127592073728', '6922569457/30678722817', '1100522813/4877182460', '319432579/1415628057', '142225076/630298289', '34982427/155031479', '2295368/10172373', '551907/2445884', '87740/388837', '25467/112862', '11339/50251', '2789/12360', '183/811', '44/195', '7/31', '2/9', '1/4', '0/1', '1/0', '0/1'], matrix([[ 361123010144695, 86829788147244], [1600387370597931, 384803217847747]])) (9, 1, 0) ([0, 2, 10, 2, 1, 1, 114, 2, 10, 2, 1, 1, 114, 2, 10, 2, 1, 1, 114, 2, 10, 2, 1, 1], ['61191805160223/128267634398017', '41422270892821/86827585571372', '19769534267402/41440048826645', '1883202358017/3947487918082', '937510687232/1965169645825', '8180983553/17148626432', '4878562190/10226232577', '3302421363/6922393855', '1576140827/3303838722', '150139709/314716411', '74743737/156674612', '652235/1367187', '388947/815294', '263288/551893', '125659/263401', '11970/25091', '5959/12491', '52/109', '31/65', '21/44', '10/21', '1/2', '0/1', '1/0', '0/1'], matrix([[102614076053044, 61191805160223], [215095219969389, 128267634398017]])) (9, 1, 1) ([0, 2, 17, 2, 1, 3, 1, 1, 13, 2, 17, 2, 1, 3, 1, 1, 13, 2, 17, 2, 1, 3, 1, 1], ['38230587123/78663411457', '30049252366/61829463807', '8181334757/16833947650', '5505248095/11327620857', '2676086662/5506326793', '153074771/314967271', '73815555/151883186', '5443661/11200899', '3047962/6271499', '2395699/4929400', '652263/1342099', '438910/903103', '213353/438996', '12204/25111', '5885/12109', '434/893', '243/500', '191/393', '52/107', '35/72', '17/35', '1/2', '0/1', '1/0', '0/1'], matrix([[ 68279839489, 38230587123], [140492875264, 78663411457]])) (10, 0, 0) ([0, 13, 59, 1, 15, 13, 59, 1, 15, 13, 59, 1, 15, 13, 59, 1, 15, 13, 59, 1, 15, 13, 59, 1], ['-44552526860938767/-8564138024478138879', '-3529642525314049008/-3818751660307288577', 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18, 2, 1, 5], ['108540106399031/114454179904570', '72984710957349/76961461669159', '35555395441682/37492718235411', '1873920073985/1976025198337', '1824834109952/1924264665345', '49085964033/51760532992', '8653440731/9124944641', '5818760378/6135809787', '2834680353/2989134854', '149399672/157540079', '145486257/153413432', '3913415/4126647', '689902/727493', '463905/489182', '225997/238311', '11911/12560', '11599/12231', '312/329', '55/58', '37/39', '18/19', '1/1', '0/1', '1/0', '0/1'], matrix([[615685242952504, 108540106399031], [649232361192009, 114454179904570]])) (11, 0, 0) ([-1, 3, 19, 24, 1, 7, 1, 2, 19, 24, 1, 7, 1, 2, 19, 24, 1, 7, 1, 2, 19, 24, 1, 7], ['-1927963419829969/2867278482711213', '-1851004003409834/2752823988152947', '-76959416420135/114454494558266', '-3978009326594/5916118754563', '-1377239214849/2048238221569', '-1223530896896/1819642311425', '-153708317953/228595910144', '-147572671225/219470940417', '-6135646728/9124969727', '-317149753/471666969', 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1, 2, 34, 1, 31, 3, 1, 2, 34, 1, 31], ['140108367556935/209175010716778', '136146405568837/203259993250151', '3961961988098/5915017466627', '1439697973505/2149399384833', '1082566041088/1616218696961', '357131932417/533180687872', '11170243837/16676633345', '10854373470/16205054177', '315870367/471579168', '114780992/171362465', '86308383/128854238', '28472609/42508227', '890556/1329557', '865373/1291960', '25183/37597', '9151/13662', '6881/10273', '2270/3389', '71/106', '69/103', '2/3', '1/1', '0/1', '1/0', '0/1'], matrix([[4479505799833822, 140108367556935], [6687685325470269, 209175010716778]])) (12, 0, 1) ([-1, 1, 1, 4, 2, 6, 7, 13, 2, 4, 2, 6, 7, 13, 2, 4, 2, 6, 7, 13, 2, 4, 2, 6], ['-17745681707273/39468114126356', '-7982292236804/17753390722825', '-1781097233665/3961332680706', '-857903302144/1908060000001', '-65290629377/145212680704', '-9125120243/20295150849', '-1414787676/3146624761', '-636394187/1415402283', '-141999302/315820195', '-68396979/152121503', 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'138066/150509', '11573/12616', '10763/11733', '810/883', '233/254', '111/121', '11/12', '1/1', '0/1', '1/0', '0/1'], matrix([[1598413862629162, 459792744816617], [1742468616816243, 501230905721086]])) (13, 0, 1) ([0, 2, 5, 1, 3, 1, 9, 1, 1, 3, 2, 2, 5, 1, 3, 1, 9, 1, 1, 3, 2, 2, 5, 1], ['794912620/1726970401', '146928701/319206805', '60269115/130936376', '26390471/57334053', '7488173/16268270', '3925952/8529243', '3562221/7739027', '363731/790216', '288642/627083', '75089/163133', '63375/137684', '11714/25449', '4805/10439', '2104/4571', '597/1297', '313/680', '284/617', '29/63', '23/50', '6/13', '5/11', '1/2', '0/1', '1/0', '0/1'], matrix([[ 941841321, 794912620], [2046177206, 1726970401]])) (13, 1, 0) ([0, 1, 1, 5, 2, 2, 7, 4, 1, 1, 2, 1, 1, 5, 2, 2, 7, 4, 1, 1, 2, 1, 1, 5], ['168314516/310351447', '97935743/180581570', '70378773/129769877', '27556970/50811693', '15264833/28146491', '12292137/22665202', '2972696/5481289', '401353/740046', '163225/300967', '74903/138112', '13419/24743', '7808/14397', '5611/10346', '2197/4051', '1217/2244', '980/1807', '237/437', '32/59', '13/24', '6/11', '1/2', '1/1', '0/1', '1/0', '0/1'], matrix([[ 939508323, 168314516], [1732338805, 310351447]])) (13, 1, 1) ([0, 1, 2, 6, 4, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 6, 4, 1, 1, 1, 1, 1, 1, 2], ['10109661/14788196', '6233864/9118763', '3875797/5669433', '2358067/3449330', '1517730/2220103', '840337/1229227', '677393/990876', '162944/238351', '25617/37472', '9242/13519', '7133/10434', '2109/3085', '806/1179', '497/727', '309/452', '188/275', '121/177', '67/98', '54/79', '13/19', '2/3', '1/1', '0/1', '1/0', '0/1'], matrix([[26453186, 10109661], [38695155, 14788196]])) (14, 0, 0) ([0, 2, 1, 6, 5, 2, 2, 1, 15, 2, 1, 6, 5, 2, 2, 1, 15, 2, 1, 6, 5, 2, 2, 1], ['30521596657/87316388097', '12428620304/35555880191', '5664356049/16204627715', '1099908206/3146624761', '164815019/471503910', '111018092/317601301', '53796927/153902609', '3424238/9796083', '2433357/6961364', '990881/2834719', '451595/1291926', '87691/250867', '13140/37591', '8851/25321', '4289/12270', '273/781', '194/555', '79/226', '36/103', '7/20', '1/3', '1/2', '0/1', '1/0', '0/1'], matrix([[ 42950216961, 30521596657], [122872268288, 87316388097]])) (14, 0, 1) ([-1, 1, 13, 3, 4, 1, 1, 1, 3, 5, 14, 3, 4, 1, 1, 1, 3, 5, 14, 3, 4, 1, 1, 1], ['-4562277904/65290679549', '-2517492971/36027798020', '-2044784933/29262881529', '-472708038/6764916491', '-153952781/2203215565', '-10849695/155269796', '-2057051/29438421', '-564440/8077691', '-363731/5205348', '-200709/2872343', '-163022/2333005', '-37687/539338', '-12274/175653', '-865/12379', '-164/2347', '-45/644', '-29/415', '-16/229', '-13/186', '-3/43', '-1/14', '0/1', '-1/1', '1/0', '0/1'], matrix([[ -7079770875, -4562277904], [101318477569, 65290679549]])) (14, 1, 0) ([-1, 1, 1, 3, 3, 1, 76, 5, 2, 3, 3, 1, 76, 5, 2, 3, 3, 1, 76, 5, 2, 3, 3, 1], ['-19673564890122/45399021604631', '-5980780089091/13801340326151', '-1731224622849/3995000626178', 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'3479/11349', '1194/3895', '1091/3559', '103/336', '61/199', '42/137', '19/62', '4/13', '3/10', '1/3', '0/1', '1/0', '0/1'], matrix([[ 627187625, 481299993], [2045976518, 1570070015]])) (15, 1, 0) ([0, 1, 1, 1, 4, 1, 1, 2, 1, 11, 9, 1, 1, 1, 4, 1, 1, 2, 1, 11, 9, 1, 1, 1], ['200060849/309950071', '105248312/163058999', '94812537/146891072', '10435775/16167927', '890562/1379729', '639593/990908', '250969/388821', '137655/213266', '113314/175555', '24341/37711', '15950/24711', '8391/13000', '7559/11711', '832/1289', '71/110', '51/79', '20/31', '11/17', '9/14', '2/3', '1/2', '1/1', '0/1', '1/0', '0/1'], matrix([[305309161, 200060849], [473009070, 309950071]])) (15, 1, 1) ([0, 1, 2, 2, 23, 1, 5, 4, 2, 1, 2, 2, 23, 1, 5, 4, 2, 1, 2, 2, 23, 1, 5, 4], ['114376643582/160316045569', '19193762569/26902941180', '18407830737/25801339669', '785931832/1101601511', '331398601/464504916', '123134630/172591679', '85129341/119321558', '38005289/53270121', '9118763/12781316', '1530237/2144857', '1467578/2057031', '62659/87826', '26421/37033', '9817/13760', '6787/9513', '3030/4247', '727/1019', '122/171', '117/164', '5/7', '2/3', '1/1', '0/1', '1/0', '0/1'], matrix([[476700336897, 114376643582], [668167123456, 160316045569]])) (16, 0, 0) ([-1, 1, 1, 1, 6, 2, 34, 3, 1, 1, 2, 1, 6, 2, 34, 3, 1, 1, 2, 1, 6, 2, 34, 3], ['-81337955330/233158401279', '-2359990521/6765004292', '-1098277616/3148255351', '-163435289/468493590', '-117665882/337293811', '-45769407/131199779', '-26127068/74894253', '-19642339/56305526', '-6484729/18588727', '-188152/539345', '-87561/250997', '-13030/37351', '-9381/26891', '-3649/10460', '-2083/5971', '-1566/4489', '-517/1482', '-15/43', '-7/20', '-1/3', '-1/2', '0/1', '-1/1', '1/0', '0/1'], matrix([[-246373856511, -81337955330], [ 706240208129, 233158401279]])) (16, 0, 1) ([-1, 1, 1, 9, 1, 5, 1, 2, 5, 5, 2, 9, 1, 5, 1, 2, 5, 5, 2, 9, 1, 5, 1, 2], ['-10855226394/22812455675', '-9282998983/19508391179', '-1572227411/3304064496', '-1421861928/2988068699', '-150365483/315995797', '-68572581/144106526', '-13220321/27782745', '-2470976/5192801', '-865441/1818740', '-740094/1555321', '-125347/263419', '-113359/238226', '-11988/25193', '-5467/11489', '-1054/2215', '-197/414', '-69/145', '-59/124', '-10/21', '-9/19', '-1/2', '0/1', '-1/1', '1/0', '0/1'], matrix([[-30993451771, -10855226394], [ 65133302529, 22812455675]])) (16, 1, 0) ([-1, 3, 1, 1, 2, 2, 2, 2, 3, 1, 2, 3, 1, 2, 1, 1, 2, 2, 2, 2, 3, 1, 2, 3], ['-27795287/38544639', '-10021860/13897643', '-7751567/10749353', '-2270293/3148290', '-940688/1304483', '-388917/539324', '-162854/225835', '-63209/87654', '-36436/50527', '-26773/37127', '-9663/13400', '-7447/10327', '-2216/3073', '-799/1108', '-618/857', '-181/251', '-75/104', '-31/43', '-13/18', '-5/7', '-3/4', '-2/3', '-1/1', '1/0', '0/1'], matrix([[-93407721, -27795287], [129531560, 38544639]])) (16, 1, 1) ([-1, 1, 9, 1, 5, 10, 1, 4, 1, 2, 10, 1, 5, 10, 1, 4, 1, 2, 10, 1, 5, 10, 1, 4], ['-10540861187/114219304191', '-9597113330/103992983813', '-943747857/10226320378', '-159634760/1729780033', '-145574057/1577420213', '-14060703/152359820', '-4967027/53822013', '-4126649/44715794', '-840378/9106219', '-765137/8290918', '-75241/815301', '-12727/137908', '-11606/125761', '-1121/12147', '-396/4291', '-329/3565', '-67/726', '-61/661', '-6/65', '-1/11', '-1/10', '0/1', '-1/1', '1/0', '0/1'], matrix([[-51760558078, -10540861187], [560870200577, 114219304191]])) (17, 0, 0) ([-1, 2, 2, 2, 1, 2, 1, 2, 1, 8, 1, 4, 1, 1, 2, 2, 1, 2, 1, 2, 1, 8, 1, 4], ['-16845248/28685841', '-15114319/25738235', '-1730929/2947606', '-1266887/2157387', '-464042/790219', '-338803/576949', '-125239/213270', '-88325/150409', '-36914/62861', '-14497/24687', '-7920/13487', '-6577/11200', '-1343/2287', '-1205/2052', '-138/235', '-101/172', '-37/63', '-27/46', '-10/17', '-7/12', '-3/5', '-1/2', '-1/1', '1/0', '0/1'], matrix([[-82495311, -16845248], [140481599, 28685841]])) (17, 0, 1) ([0, 1, 1, 24, 2, 1, 83, 1, 1, 24, 2, 1, 83, 1, 1, 24, 2, 1, 83, 1, 1, 24, 2, 1], ['100653940866355/197334906865252', '49320550592793/96694338780977', '2012839680769/3946229303298', '1012398254337/1984835501825', '1000441426432/1961393801473', '11956827905/23441700352', '8024710317/15732672257', '3932117588/7709028095', '160475141/314616067', '80714204/158242487', '79760937/156373580', '953267/1868907', '639776/1254299', '313491/614608', '12794/25083', '6435/12616', '6359/12467', '76/149', '51/100', '25/49', '1/2', '1/1', '0/1', '1/0', '0/1'], matrix([[149974491459148, 100653940866355], [294029245646229, 197334906865252]])) (17, 1, 0) ([0, 1, 7, 20, 2, 2, 14, 1, 7, 20, 2, 2, 14, 1, 7, 20, 2, 2, 14, 1, 7, 20, 2, 2], ['570300538091041/651205554507082', '278237878032269/317709768002977', '13824782026503/15786018501128', '1742237502209/1989397980417', '1629119511040/1860232638209', '113117991169/129165342208', '45467634674/51917847297', '22182721821/25329647614', '1102191032/1258552069', '138901181/158606234', '129882765/148308431', '9018416/10297803', '3624941/4139189', '1768534/2019425', '87873/100339', '11074/12645', '10355/11824', '719/821', '289/330', '141/161', '7/8', '1/1', '0/1', '1/0', '0/1'], matrix([[1418838954214351, 570300538091041], [1620120877017141, 651205554507082]])) (17, 1, 1) ([-1, 6, 1, 1, 8, 1, 1, 52, 1, 5, 1, 1, 8, 1, 1, 52, 1, 5, 1, 1, 8, 1, 1, 52], ['-31308030209/36971809280', '-16519971276/19508516609', '-14788058933/17463292671', '-1731912343/2045223938', '-932760189/1101501167', '-799152154/943722771', '-133608035/157778396', '-131111979/154830791', '-2496056/2947605', '-1317067/1555331', '-1178989/1392274', '-138078/163057', '-74365/87818', '-63713/75239', '-10652/12579', '-10453/12344', '-199/235', '-105/124', '-94/111', '-11/13', '-6/7', '-5/6', '-1/1', '1/0', '0/1'], matrix([[-1644537542144, -31308030209], [ 1942042599169, 36971809280]])) (18, 0, 0) ([-1, 2, 6, 7, 16, 1, 1, 3, 1, 1, 6, 7, 16, 1, 1, 3, 1, 1, 6, 7, 16, 1, 1, 3], ['-261791862529/486926594560', 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3, 54, 1, 21, 1, 2, 3, 54, 1, 21, 1, 2, 3, 54, 1, 21], ['-108533813325111/327576363885734', '-106571160908854/321652693442467', '-1962652416257/5923670443267', '-587930430976/1774489506049', '-198861123329/600201925120', '-190208184318/574085655809', '-8652939011/26116269311', '-8496465087/25644000278', '-156473924/472269033', '-46873191/141472496', '-15854351/47851545', '-15164489/45769406', '-689862/2082139', '-677387/2044487', '-12475/37652', '-3737/11279', '-1264/3815', '-1209/3649', '-55/166', '-54/163', '-1/3', '0/1', '-1/1', '1/0', '0/1'], matrix([[-2385781240736185, -108533813325111], [ 7200756335042881, 327576363885734]])) (18, 1, 1) ([0, 2, 1, 1, 1, 1, 16, 1, 4, 1, 8, 2, 1, 1, 1, 1, 16, 1, 4, 1, 8, 2, 1, 1], ['180368339/469371600', '122432222/318604741', '57936117/150766859', '6559988/17071023', '5456213/14198675', '1103775/2872348', '1041113/2709283', '62662/163065', '38521/100243', '24141/62822', '14380/37421', '9761/25401', '4619/12020', '523/1361', '435/1132', '88/229', 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(32, 1, 0) ([-1, 1, 2, 2, 1, 1, 171, 4, 3, 2, 1, 1, 171, 4, 3, 2, 1, 1, 171, 4, 3, 2, 1, 1], ['-5812283034883/19760409310218', '-4055099482114/13786394275591', '-1757183552769/5974015034627', '-540732376576/1838364206337', '-134986423041/458922415616', '-786684412/2674543873', '-463388589/1575413333', '-323295823/1099130540', '-140092766/476282793', '-43110291/146564954', '-10761893/36587931', '-62719/213230', '-36944/125601', '-25775/87629', '-11169/37972', '-3437/11685', '-858/2917', '-5/17', '-3/10', '-2/7', '-1/3', '0/1', '-1/1', '1/0', '0/1'], matrix([[-9867382516997, -5812283034883], [33546803585809, 19760409310218]])) (32, 1, 1) ([-1, 1, 3, 1, 2, 2, 2, 4, 1, 1, 3, 4, 4, 1, 2, 2, 2, 4, 1, 1, 3, 4, 4, 1], ['-134824706/634562909', '-31846677/149888849', '-7437998/35007513', '-2094685/9858797', '-1153943/5431122', '-940742/4427675', '-213201/1003447', '-87938/413887', '-37325/175673', '-13288/62541', '-10749/50591', '-2539/11950', '-593/2791', '-167/786', '-92/433', '-75/353', 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'28/2521', '27/2431', '1/90', '0/1', '1/0', '0/1'], matrix([[ 4467756073851235841, 7725129492778114044], [-4636281384218403840, 663131851683357185]])) (36, 0, 1) ([0, 11, 8, 2, 15, 1, 3, 11, 8, 2, 15, 1, 3, 11, 8, 2, 15, 1, 3, 11, 8, 2, 15, 1], ['518991690805767/5770077119650156', '33546331605265/372963428649917', '15796716726792/175625689901401', '1952898151681/21712048847115', '173531513344/1929299124481', '44051504897/489758477824', '41376998653/460023691009', '2674506244/29734786815', '1259404993/14001888784', '155696258/1731009247', '13834929/153814808', '3512039/39046359', '3298812/36675731', '213227/2370628', '100407/1116311', '12413/138006', '1103/12263', '280/3113', '263/2924', '17/189', '8/89', '1/11', '0/1', '1/0', '0/1'], matrix([[ 552538022411032, 518991690805767], [6143040548300073, 5770077119650156]])) (36, 1, 0) ([0, 1, 2, 26, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 26, 1, 2, 1, 1, 1, 1, 1, 1], ['19805399/29526221', '12292137/18325324', '7513262/11200897', '4778875/7124427', '2734387/4076470', '2044488/3047957', '689899/1028513', '664690/990931', '25209/37582', '9256/13799', '6697/9984', '2559/3815', '1579/2354', '980/1461', '599/893', '381/568', '218/325', '163/243', '55/82', '53/79', '2/3', '1/1', '0/1', '1/0', '0/1'], matrix([[32097536, 19805399], [47851545, 29526221]])) (36, 1, 1) ([-1, 1, 1, 1, 5, 2, 3, 3, 21, 1, 2, 1, 5, 2, 3, 3, 21, 1, 2, 1, 5, 2, 3, 3], ['-7079432214/20138099947', '-2046089405/5820290624', '-941163999/2677228075', '-163761407/465834474', '-122356964/348055705', '-41404443/117778769', '-39548078/112498167', '-1856365/5280602', '-564413/1605525', '-163126/464027', '-75035/213444', '-13056/37139', '-9755/27749', '-3301/9390', '-3153/8969', '-148/421', '-45/128', '-13/37', '-6/17', '-1/3', '-1/2', '0/1', '-1/1', '1/0', '0/1'], matrix([[-23284386047, -7079432214], [ 66234590465, 20138099947]])) (37, 0, 0) ([-1, 20, 2, 17, 1, 4, 1, 1, 1, 19, 2, 17, 1, 4, 1, 1, 1, 19, 2, 17, 1, 4, 1, 1], ['-674460184833/709072103936', 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[107205020, 57961203]])) (37, 1, 0) ([0, 2, 6, 1, 15, 1, 7, 2, 2, 2, 6, 1, 15, 1, 7, 2, 2, 2, 6, 1, 15, 1, 7, 2], ['147415281662/316069625089', '18564505349/39803717630', '17463744219/37443601679', '1100761130/2360115951', '952327269/2041862414', '148433861/318253537', '61724103/132341192', '24985655/53571153', '11752793/25198886', '1480069/3173381', '1392310/2985219', '87759/188162', '75925/162789', '11834/25373', '4921/10551', '1992/4271', '937/2009', '118/253', '111/238', '7/15', '6/13', '1/2', '0/1', '1/0', '0/1'], matrix([[313395068673, 147415281662], [671942967808, 316069625089]])) (37, 1, 1) ([-1, 1, 3, 1, 3, 1, 1, 1, 1, 1, 2, 4, 1, 4, 4, 1, 3, 1, 1, 1, 1, 1, 2, 4], ['-1216666/5819953', '-464115/2220106', '-288436/1379741', '-175679/840365', '-112757/539376', '-62922/300989', '-49835/238387', '-13087/62602', '-10574/50581', '-2513/12021', '-522/2497', '-425/2033', '-97/464', '-37/177', '-23/110', '-14/67', '-9/43', '-5/24', '-4/19', '-1/5', '-1/4', '0/1', '-1/1', '1/0', '0/1'], matrix([[-5330779, -1216666], [25499918, 5819953]])) (38, 0, 0) ([-1, 3, 1, 1, 1, 1, 2, 6, 1, 6, 1, 3, 1, 2, 1, 1, 1, 1, 2, 6, 1, 6, 1, 3], ['-24759881/34229847', '-21611592/29877425', '-3148289/4352422', '-2721858/3762893', '-426431/589529', '-163272/225719', '-99887/138091', '-63385/87628', '-36502/50463', '-26883/37165', '-9619/13298', '-7645/10569', '-1974/2729', '-1723/2382', '-251/347', '-217/300', '-34/47', '-13/18', '-8/11', '-5/7', '-3/4', '-2/3', '-1/1', '1/0', '0/1'], matrix([[-95891235, -24759881], [132566966, 34229847]])) (38, 0, 1) ([-1, 19, 15, 8, 1, 3, 1, 18, 15, 8, 1, 3, 1, 18, 15, 8, 1, 3, 1, 18, 15, 8, 1, 3], ['-4848522369873049/5116898214501153', '-4313744975219850/4552519773584899', '-534777394653199/564378440916254', '-35525817994258/37492246254867', '-1890124739329/1994747093249', '-1503572686336/1586798576385', '-386552052993/407948516864', '-343916527357/362953025793', '-42635525636/44995491071', '-2832322269/2989097225', '-150691601/159032696', '-119873451/126508697', '-30818150/32523999', '-27419001/28936700', '-3399149/3587299', '-225809/238308', '-12014/12679', '-9557/10086', '-2457/2593', '-2186/2307', '-271/286', '-18/19', '-1/1', '1/0', '0/1'], matrix([[-18859312084838997, -4848522369873049], [ 19903214417088358, 5116898214501153]])) (38, 1, 0) ([0, 4, 1, 1, 2, 5, 1, 2, 6, 1, 3, 4, 1, 1, 2, 5, 1, 2, 6, 1, 3, 4, 1, 1], ['170509541/783222544', '138085886/634286963', '32423655/148935581', '8391266/38544639', '7249857/33301664', '1141409/5242975', '401403/1843814', '338603/1555347', '62800/288467', '24603/113012', '13594/62443', '11009/50569', '2585/11874', '669/3073', '578/2655', '91/418', '32/147', '27/124', '5/23', '2/9', '1/5', '1/4', '0/1', '1/0', '0/1'], matrix([[ 308595427, 170509541], [1417509507, 783222544]])) (38, 1, 1) ([-1, 2, 2, 2, 2, 17, 2, 11, 1, 1, 2, 2, 2, 17, 2, 11, 1, 1, 2, 2, 2, 17, 2, 11], ['-95812037889/163462595072', '-46568884981/79450045697', '-2674267927/4562503678', '-1106330222/1887483171', '-461607483/787537336', '-183115256/312408499', '-95376971/162720338', '-87738285/149688161', '-7638686/13032177', '-3712739/6334214', '-213208/363749', '-88203/150481', '-36802/62787', '-14599/24907', '-7604/12973', '-6995/11934', '-609/1039', '-296/505', '-17/29', '-7/12', '-3/5', '-1/2', '-1/1', '1/0', '0/1'], matrix([[-1100501301760, -95812037889], [ 1877538591489, 163462595072]])) (39, 0, 0) ([-1, 1, 7, 25, 8, 3, 1, 1, 8, 25, 8, 3, 1, 1, 8, 25, 8, 3, 1, 1, 8, 25, 8, 3], ['-396643164372425/3188934794671184', '-49334867335961/396642849718729', '-1964225684737/15791996921352', '-229225217536/1842926684929', '-130423944449/1048583441920', '-98801273087/794343243009', '-31622671362/254240198911', '-3933259001/31622646276', '-156599354/1259028703', '-18275151/146928701', '-10398146/83599095', '-7877005/63329606', '-2521141/20269489', '-313582/2521139', '-12485/100377', '-1457/11714', '-829/6665', '-628/5049', '-201/1616', '-25/201', '-1/8', '0/1', '-1/1', '1/0', '0/1'], matrix([[-1239264360453236, -396643164372425], [ 9963447233732281, 3188934794671184]])) (39, 0, 1) ([-1, 2, 2, 1, 4, 1, 4, 2, 1, 19, 1, 1, 2, 1, 4, 1, 4, 2, 1, 19, 1, 1, 2, 1], ['-452965356/787600051', '-180293081/313487197', '-92379194/160625657', '-87913887/152861540', '-4465307/7764117', '-3073054/5343317', '-1392253/2420800', '-288548/501717', '-238061/413932', '-50487/87785', '-36113/62792', '-14374/24993', '-7365/12806', '-7009/12187', '-356/619', '-245/426', '-111/193', '-23/40', '-19/33', '-4/7', '-3/5', '-1/2', '-1/1', '1/0', '0/1'], matrix([[-633258437, -452965356], [1101087248, 787600051]])) (39, 1, 0) ([-1, 3, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 1, 2, 1, 2, 1, 1, 1, 1, 3, 1, 1, 1], ['-1342065/1856377', '-752627/1041052', '-589438/815325', '-163189/225727', '-99871/138144', '-63318/87583', '-36553/50561', '-26765/37022', '-9788/13539', '-7189/9944', '-2599/3595', '-1991/2754', '-608/841', '-167/231', '-107/148', '-60/83', '-47/65', '-13/18', '-8/11', '-5/7', '-3/4', '-2/3', '-1/1', '1/0', '0/1'], matrix([[-2094692, -1342065], [ 2897429, 1856377]])) (39, 1, 1) ([0, 1, 1, 1, 15, 1, 3, 1, 1, 2, 10, 1, 1, 1, 15, 1, 3, 1, 1, 2, 10, 1, 1, 1], ['204639044/310100587', '107016875/162168446', '97622169/147932141', '9394706/14236305', '3675109/5569091', '2044488/3098123', '1630621/2470968', '413867/627155', '389020/589503', '24847/37652', '16315/24723', '8532/12929', '7783/11794', '749/1135', '293/444', '163/247', '130/197', '33/50', '31/47', '2/3', '1/2', '1/1', '0/1', '1/0', '0/1'], matrix([[311655919, 204639044], [472269033, 310100587]])) (40, 0, 0) ([0, 2, 1, 123, 1, 1, 16, 2, 1, 123, 1, 1, 16, 2, 1, 123, 1, 1, 16, 2, 1, 123, 1, 1], ['246671347469693/738032982751606', '244692805041788/732113245479539', '1978542427905/5919737272067', '1332086409473/3985561015298', '646456018432/1934176256769', '39174372609/117208501760', '19666056688/58840228609', '19508315921/58368273151', '157740767/471955458', '106201580/317751817', '51539187/154203641', '3123206/9344535', '1567891/4691081', '1555315/4653454', '12576/37627', '8467/25333', '4109/12294', '249/745', '125/374', '124/371', '1/3', '1/2', '0/1', '1/0', '0/1'], matrix([[ 491364152511481, 246671347469693], [1470146228231145, 738032982751606]])) (40, 0, 1) ([0, 1, 1, 1, 2, 1, 7, 1, 5, 1, 1, 2, 3, 1, 1, 1, 2, 1, 7, 1, 5, 1, 1, 2], ['9771000/15377717', '5268053/8290925', '4502947/7086792', '765106/1204133', '677417/1066127', '87689/138006', '63594/100085', '24095/37921', '15404/24243', '8691/13678', '6713/10565', '1978/3113', '779/1226', '420/661', '359/565', '61/96', '54/85', '7/11', '5/8', '2/3', '1/2', '1/1', '0/1', '1/0', '0/1'], matrix([[24810053, 9771000], [39046359, 15377717]])) (40, 1, 0) ([0, 4, 266, 1, 1, 1, 3, 4, 266, 1, 1, 1, 3, 4, 266, 1, 1, 1, 3, 4, 266, 1, 1, 1], ['1051796364124437/4211130112532566', '526883992085515/2109511993540397', '524912372038922/2101618118992169', '1971620046593/7893874548228', '461439645184/1847489163521', '125861465857/503917894144', 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['411567046911/613732021505', '134199776258/200119763199', '8967718137/13372731908', '8651722340/12901516487', '315995797/471215421', '119835821/178700120', '76324155/113815181', '43511666/64884939', '32812489/48930242', '10699177/15954697', '714958/1066151', '689765/1028583', '25193/37568', '9554/14247', '6085/9074', '3469/5173', '2616/3901', '853/1272', '57/85', '55/82', '2/3', '1/1', '0/1', '1/0', '0/1'], matrix([[545766823169, 411567046911], [813851784704, 613732021505]])) (41, 0, 1) ([0, 2, 2, 1, 9, 1, 1, 1, 6, 3, 2, 2, 2, 1, 9, 1, 1, 1, 6, 3, 2, 2, 2, 1], ['332326783/779008096', '137822483/323070049', '56681817/132867998', '24458849/57334053', '7764119/18199892', '1166492/2734377', '765167/1793630', '401325/940747', '363842/852883', '37483/87864', '26495/62107', '10988/25757', '4519/10593', '1950/4571', '619/1451', '93/218', '61/143', '32/75', '29/68', '3/7', '2/5', '1/2', '0/1', '1/0', '0/1'], matrix([[ 470149266, 332326783], [1102078145, 779008096]])) (41, 1, 0) ([0, 1, 1, 4, 3, 1, 1, 1, 1, 2, 27, 1, 1, 4, 3, 1, 1, 1, 1, 2, 27, 1, 1, 4], ['173469689/314064175', '88290176/159847991', '85179513/154216184', '3110663/5631807', '1191612/2157395', '727439/1317017', '464173/840378', '263266/476639', '200907/363739', '62359/112900', '13830/25039', '7039/12744', '6791/12295', '248/449', '95/172', '58/105', '37/67', '21/38', '16/29', '5/9', '1/2', '1/1', '0/1', '1/0', '0/1'], matrix([[ 782168932, 173469689], [1416104691, 314064175]])) (41, 1, 1) ([0, 2, 6, 1, 1, 9, 1, 4, 8, 2, 6, 1, 1, 9, 1, 4, 8, 2, 6, 1, 1, 9, 1, 4], ['21553878520/46411407617', '19508115233/42006318588', '2045763287/4405089029', '1096245650/2360517327', '949517637/2044571702', '146728013/315945625', '69149559/148897952', '8428895/18149721', '1718399/3700184', '1555299/3348985', '163100/351199', '87399/188194', '75701/163005', '11698/25189', '5513/11871', '672/1447', '137/295', '124/267', '13/28', '7/15', '6/13', '1/2', '0/1', '1/0', '0/1'], matrix([[105723629313, 21553878520], [227651949056, 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'11/137', '9/112', '2/25', '1/12', '0/1', '1/0', '0/1'], matrix([[ 47827349249, 11170243837], [595482119680, 139076921089]])) (42, 1, 0) ([-1, 3, 5, 1, 21, 1, 5, 4, 1, 2, 5, 1, 21, 1, 5, 4, 1, 2, 5, 1, 21, 1, 5, 4], ['-278311181569/406689902080', '-46726124028/68279839489', '-44680561429/65290704635', '-2045562599/2989134854', '-1723746850/2518872701', '-321815749/470262153', '-114668105/167561936', '-92479539/135138281', '-22188566/32423655', '-3725275/5443661', '-3562191/5205350', '-163084/238311', '-137427/200819', '-25657/37492', '-9142/13359', '-7373/10774', '-1769/2585', '-297/434', '-284/415', '-13/19', '-11/16', '-2/3', '-1/1', '1/0', '0/1'], matrix([[-1159970850304, -278311181569], [ 1695039447809, 406689902080]])) (42, 1, 1) ([0, 2, 1, 2, 1, 1, 4, 1, 1, 1, 1, 5, 4, 2, 1, 2, 1, 1, 4, 1, 1, 1, 1, 5], ['2270287/6171155', '1379709/3750362', '890578/2420793', '489131/1329569', '401447/1091224', '87684/238345', '50711/137844', '36973/100501', '13738/37343', '9497/25815', '4241/11528', '1015/2759', '181/492', '110/299', '71/193', '39/106', '32/87', '7/19', '4/11', '3/8', '1/3', '1/2', '0/1', '1/0', '0/1'], matrix([[12731144, 2270287], [34606137, 6171155]])) (43, 0, 0) ([0, 4, 1, 1, 71, 1, 18, 4, 1, 1, 71, 1, 18, 4, 1, 1, 71, 1, 18, 4, 1, 1, 71, 1], ['282191973677967/1270837656070276', '3943712073730/17760313104137', '2188416443137/9855425676549', '1755295630593/7904887427588', '433120812544/1950538248961', '22812380417/102734431744', '22497965038/101318477569', '314415379/1415954175', '174473129/785731144', '139942250/630223031', '34530879/155508113', '1818734/8190579', '1793667/8077691', '25067/112888', '13910/62643', '11157/50245', '2753/12398', '145/653', '143/644', '2/9', '1/5', '1/4', '0/1', '1/0', '0/1'], matrix([[ 286135685751697, 282191973677967], [1288597969174413, 1270837656070276]])) (43, 0, 1) ([0, 1, 16, 3, 1, 1, 2, 2, 1, 3, 2, 1, 16, 3, 1, 1, 2, 2, 1, 3, 2, 1, 16, 3], ['2519023217/2673766207', '150892289/160161566', '104746593/111181151', '46145696/48980415', '12455201/13220321', '8780093/9319452', '3675108/3900869', '1429877/1517714', '815354/865441', '614523/652273', '200831/213168', '12030/12769', '8351/8864', '3679/3905', '993/1054', '700/743', '293/311', '114/121', '65/69', '49/52', '16/17', '1/1', '0/1', '1/0', '0/1'], matrix([[7707961940, 2519023217], [8181460187, 2673766207]])) (43, 1, 0) ([-1, 1, 13, 12, 4, 5, 1, 2, 14, 12, 4, 5, 1, 2, 14, 12, 4, 5, 1, 2, 14, 12, 4, 5], ['-96693709473585/1361612100252338', '-23682882259468/333495314523561', '-1962180435713/27630842158094', '-136717030912/1925208626433', '-48142002945/677921388032', '-40433025022/569365850369', '-7708977923/108555537663', '-1888135407/26588162054', '-156436295/2202889447', '-10899867/153488690', '-3838157/54047787', '-3223553/45393116', '-614604/8654671', '-150533/2119761', '-12472/175627', '-869/12237', '-306/4309', '-257/3619', '-49/690', '-12/169', '-1/14', '0/1', '-1/1', '1/0', '0/1'], matrix([[-507151429627393, -96693709473585], [7141555815785251, 1361612100252338]])) (43, 1, 1) ([0, 3, 1, 1, 1, 14, 1, 3, 18, 3, 1, 1, 1, 14, 1, 3, 18, 3, 1, 1, 1, 14, 1, 3], ['7394587630/27060205313', '6921691447/25329660157', '472896183/1730545156', '301144885/1102027973', '171751298/628517183', '129393587/473510790', '42357711/155006393', '2320454/8491611', '589539/2157395', '551837/2019426', '37702/137969', '24009/87860', '13693/50109', '10316/37751', '3377/12358', '185/677', '47/172', '44/161', '3/11', '2/7', '1/4', '1/3', '0/1', '1/0', '0/1'], matrix([[ 29105454337, 7394587630], [106510276096, 27060205313]])) (44, 0, 0) ([-1, 13, 5, 3, 1, 1, 3, 6, 1, 12, 5, 3, 1, 1, 3, 6, 1, 12, 5, 3, 1, 1, 3, 6], ['-253138885889/273906042368', '-70954483706/76775489281', '-40275434771/43579574525', '-30679048935/33195914756', '-9596385836/10383659769', '-1889891427/2044935449', '-146928701/158982524', '-126747015/137145161', '-20181686/21837363', '-5656899/6120983', '-3210989/3474414', '-2445910/2646569', '-765079/827845', 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'1705807/2922529', '87846/150505', '36733/62934', '14380/24637', '7973/13660', '6407/10977', '1566/2683', '143/245', '136/233', '7/12', '3/5', '1/2', '1/1', '0/1', '1/0', '0/1'], matrix([[246373831425, 22497789436], [422107933184, 38545065217]])) (44, 1, 1) ([-1, 1, 28, 1, 10, 38, 29, 1, 10, 38, 29, 1, 10, 38, 29, 1, 10, 38, 29, 1, 10, 38, 29, 1], ['-5882717563730289533/1606410446032969718', '8075766294052772771/-3405883840592607733', '-272267133036528884/8143321454670835895', '-24826724268681253/742550134978005729', '-23999890349716354/717820104890778605', '-826833918964899/24730030087227124', '-21706699734283/649232361192009', '-1979329062145/59200361930782', '-1913409112833/57228741884189', '-65919949312/1971620046593', '-1730582785/51760532992', '-157803482/4719792897', '-152547965/4562604022', '-5255517/157188875', '-137972/4126647', '-12581/376289', '-12162/363757', '-419/12532', '-11/329', '-1/30', '-1/29', '0/1', '-1/1', '1/0', '0/1'], matrix([[ 2193048730322483238, 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['163372574/1883795529', '150490913/1735261324', '12881661/148534205', '8792642/101385069', '4089019/47149136', '614604/7086797', '401395/4628354', '213209/2458443', '188186/2169911', '25023/288532', '13025/150187', '11998/138345', '1027/11842', '701/8083', '326/3759', '49/565', '32/369', '17/196', '15/173', '2/23', '1/12', '1/11', '0/1', '1/0', '0/1'], matrix([[ 313863487, 163372574], [3619056853, 1883795529]])) (46, 0, 0) ([0, 1, 8, 1, 6, 1, 1, 3, 2, 2, 3, 1, 8, 1, 6, 1, 1, 3, 2, 2, 3, 1, 8, 1], ['1269564823/1412730624', '144708590/161027033', '111896103/124514360', '32812487/36512673', '13458642/14976341', '5895203/6559991', '1668236/1856359', '890495/990914', '777741/865445', '112754/125469', '101217/112631', '11537/12838', '8921/9927', '2616/2911', '1073/1194', '470/523', '133/148', '71/79', '62/69', '9/10', '8/9', '1/1', '0/1', '1/0', '0/1'], matrix([[1414273413, 1269564823], [1573757657, 1412730624]])) (46, 0, 1) ([-1, 5, 4, 1, 3, 14, 2, 3, 1, 4, 4, 1, 3, 14, 2, 3, 1, 4, 4, 1, 3, 14, 2, 3], ['-371606002433/459866376704', '-179509971197/222145496833', '-12586060039/15575383038', '-3305130651/4090134301', '-2670668086/3304980135', '-634462565/785154166', '-132817826/164363471', '-103191261/127700282', '-29626565/36663189', '-14311566/17710715', '-1003433/1241759', '-263504/326089', '-212921/263492', '-50583/62597', '-10589/13104', '-8227/10181', '-2362/2923', '-1141/1412', '-80/99', '-21/26', '-17/21', '-4/5', '-1/1', '1/0', '0/1'], matrix([[-1294327978496, -371606002433], [ 1601744626945, 459866376704]])) (46, 1, 0) ([0, 4, 1, 19, 1, 1, 1, 4, 1, 2, 2, 4, 1, 19, 1, 1, 1, 4, 1, 2, 2, 4, 1, 19], ['158744207/786032176', '129481388/641135441', '29262819/144896735', '12430112/61548501', '4402595/21799733', '3624922/17949035', '777673/3850698', '514230/2546243', '263443/1304455', '250787/1241788', '12656/62667', '10323/51115', '2333/11552', '991/4907', '351/1738', '289/1431', '62/307', '41/203', '21/104', '20/99', '1/5', '1/4', '0/1', '1/0', '0/1'], matrix([[ 3145621321, 158744207], [15575746785, 786032176]])) (46, 1, 1) ([0, 1, 9, 1, 1, 28, 20, 1, 9, 1, 1, 28, 20, 1, 9, 1, 1, 28, 20, 1, 9, 1, 1, 28], ['37496808733459/41440206153493', '19645246057482/21711262212875', '17851562675977/19728943940618', '1793683381505/1982318272257', '1708412242432/1888079490305', '85271139073/94238781952', '2989460972/3303851265', '1566231857/1730946532', '1423229115/1572904733', '143002742/158041799', '136204437/150528542', '6798305/7513257', '238337/263402', '124869/138001', '113468/125401', '11401/12600', '10859/12001', '542/599', '19/21', '10/11', '9/10', '1/1', '0/1', '1/0', '0/1'], matrix([[1069555890594334, 37496808733459], [1182037034510679, 41440206153493]])) (47, 0, 0) ([-1, 1, 10, 1, 3, 1, 2, 3, 5, 4, 11, 1, 3, 1, 2, 3, 5, 4, 11, 1, 3, 1, 2, 3], ['-2202312469/25958992635', '-787474621/9282083344', '-627363227/7394825947', '-160111394/1887257397', '-147029045/1733053756', '-13082349/154203641', '-3123206/36813705', '-589525/6948821', '-175581/2069600', '-62782/740021', '-50017/589558', '-12765/150463', '-11722/138169', '-1043/12294', '-249/2935', '-47/554', '-14/165', '-5/59', '-4/47', '-1/12', '-1/11', '0/1', '-1/1', '1/0', '0/1'], matrix([[-7394412028, -2202312469], [87159061249, 25958992635]])) (47, 0, 1) ([0, 2, 2, 2, 4, 1, 2, 2, 1, 1, 11, 2, 2, 2, 4, 1, 2, 2, 1, 1, 11, 2, 2, 2], ['326281057/785630800', '131601155/316873807', '63078747/151883186', '5443661/13107435', '3198476/7701401', '2245185/5406034', '953291/2295367', '338603/815300', '276085/664767', '62518/150533', '26013/62635', '10492/25263', '5029/12109', '434/1045', '255/614', '179/431', '76/183', '27/65', '22/53', '5/12', '2/5', '1/2', '0/1', '1/0', '0/1'], matrix([[ 784163269, 326281057], [1888135407, 785630800]])) (47, 1, 0) ([-1, 4, 1, 6, 1, 5, 14, 3, 1, 3, 1, 6, 1, 5, 14, 3, 1, 3, 1, 6, 1, 5, 14, 3], ['-405745928449/510525621760', '-28633523965/36027835649', '-4876592939/6135922674', '-4250559270/5348222279', '-626033669/787700395', 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'-7149509/87437253', '-5130088/62740085', '-2019421/24697168', '-1091246/13345749', '-928175/11351419', '-163071/1994330', '-112820/1379769', '-50251/614561', '-12318/150647', '-979/11973', '-570/6971', '-409/5002', '-161/1969', '-87/1064', '-74/905', '-13/159', '-9/110', '-4/49', '-1/12', '0/1', '-1/1', '1/0', '0/1'], matrix([[-630298289, -154504673], [7708438574, 1889565309]])) (48, 0, 1) ([0, 3, 2, 12, 2, 5, 2, 1, 3, 3, 2, 12, 2, 5, 2, 1, 3, 3, 2, 12, 2, 5, 2, 1], ['97857337085/340612613377', '44838101508/156068245759', '8181134069/28476121859', '3932431163/13687636464', '316271743/1100848931', '137170247/477449292', '41931249/145950347', '11376500/39598251', '7801749/27155594', '3574751/12442657', '652247/2270280', '313516/1091257', '25215/87766', '10936/38065', '3343/11636', '907/3157', '622/2165', '285/992', '52/181', '25/87', '2/7', '1/3', '0/1', '1/0', '0/1'], matrix([[142695438593, 97857337085], [496680859136, 340612613377]])) (48, 1, 0) ([0, 3, 10, 2, 1, 2, 2, 8, 2, 3, 10, 2, 1, 2, 2, 8, 2, 3, 10, 2, 1, 2, 2, 8], ['30993414142/95969364737', '13057915153/40433100280', '4877583836/15103164177', '3302747481/10226771926', '1574836355/4876392251', '153074771/473987424', '44088645/136518011', '20808836/64433391', '2470973/7651229', '1041052/3223559', '388869/1204111', '263314/815337', '125555/388774', '12204/37789', '3515/10884', '1659/5137', '197/610', '83/257', '31/96', '21/65', '10/31', '1/3', '0/1', '1/0', '0/1'], matrix([[261005228289, 30993414142], [808188018176, 95969364737]])) (48, 1, 1) ([-1, 1, 2, 2, 1, 22, 3, 7, 1, 1, 3, 2, 1, 22, 3, 7, 1, 1, 3, 2, 1, 22, 3, 7], ['-32566632450/108712864511', '-10698413809/35713094152', '-471391023/1573582055', '-327811303/1094288942', '-143579720/479293113', '-40651863/135702716', '-21624131/72184965', '-19027732/63517751', '-2596399/8667214', '-852939/2847253', '-37582/125455', '-26135/87243', '-11447/38212', '-3241/10819', '-1724/5755', '-1517/5064', '-207/691', '-68/227', '-3/10', '-2/7', '-1/3', '0/1', '-1/1', '1/0', '0/1'], matrix([[-238664840959, -32566632450], [ 796703145729, 108712864511]])) (49, 0, 0) ([0, 9, 1, 2, 1, 3, 1, 2, 1, 1, 1, 2, 2, 9, 1, 2, 1, 3, 1, 2, 1, 1, 1, 2], ['2470973/24057473', '1567870/15264833', '903103/8792640', '664767/6472193', '238336/2320447', '188095/1831299', '50241/489148', '37372/363855', '12869/125293', '11634/113269', '1235/12024', '519/5053', '197/1918', '125/1217', '72/701', '53/516', '19/185', '15/146', '4/39', '3/29', '1/10', '1/9', '0/1', '1/0', '0/1'], matrix([[ 6509816, 2470973], [63379779, 24057473]])) (49, 0, 1) ([-1, 1, 2, 659, 1, 5, 3, 659, 1, 5, 3, 659, 1, 5, 3, 659, 1, 5, 3, 659, 1, 5, 3, 659], ['3282125155871166458/9070651608037529087', '-5758406193889443465/-1023017043726133612', '2110599663829945237/-6307041334493621693', '2135339560670381966/-6381298518677128379', '-24739896840436729/74257184183506686', '-7812495191365239/23449325520620395', '-1302411266341012/3909207621645501', '-1300438859660179/3903287412392890', 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matrix([[3360615985864615, 3344829652709791], [7141555973112099, 7108008854872594]])) (49, 1, 1) ([0, 1, 2, 3, 2, 9, 57, 1, 2, 3, 2, 9, 57, 1, 2, 3, 2, 9, 57, 1, 2, 3, 2, 9], ['31582577901072/45386907437335', '13732588493575/19734922360842', '4117400913922/5917062715651', '1380385751809/1983734213889', '1356629410304/1949594287873', '23756341505/34139926016', '2517944519/3618504961', '1094840834/1573381367', '328262851/471742227', '110052281/158154686', '108158289/155432855', '1893992/2721831', '200745/288488', '87287/125439', '26171/37610', '8774/12609', '8623/12392', '151/217', '16/23', '7/10', '2/3', '1/1', '0/1', '1/0', '0/1'], matrix([[297975789603223, 31582577901072], [428217089296857, 45386907437335]])) (50, 0, 0) ([0, 1, 1, 12, 2, 27, 1, 2, 2, 1, 1, 12, 2, 27, 1, 2, 2, 1, 1, 12, 2, 27, 1, 2], ['120984371198/233001049345', '116736458501/224820090878', '4247912697/8180958467', '2042815682/3934212269', '162281333/312533929', '95439686/183805121', '66841647/128728808', '28598039/55076313', '9645569/18576182', '9306901/17923949', '338668/652233', '162865/313658', '12938/24917', '7609/14654', '5329/10263', '2280/4391', '769/1481', '742/1429', '27/52', '13/25', '1/2', '1/1', '0/1', '1/0', '0/1'], matrix([[358705200897, 120984371198], [690822189568, 233001049345]])) (50, 0, 1) ([-1, 8, 1, 4, 1, 20, 1, 9, 1, 7, 1, 4, 1, 20, 1, 9, 1, 7, 1, 4, 1, 20, 1, 9], ['-161417333505/182027163136', '-154023097079/173688827649', '-7394236426/8338335487', '-6138368559/6922117909', '-1255867867/1416217578', '-1114897091/1257247597', '-140970776/158969981', '-128101659/144457730', '-12869117/14512251', '-12279606/13847471', '-589511/664780', '-489386/551871', '-100125/112909', '-88886/100235', '-11239/12674', '-10213/11517', '-1026/1157', '-979/1104', '-47/53', '-39/44', '-8/9', '-7/8', '-1/1', '1/0', '0/1'], matrix([[-1606779098624, -161417333505], [ 1811933295873, 182027163136]])) (50, 1, 0) ([-1, 1, 2, 2, 1, 2, 1, 1, 1, 22, 1, 4, 3, 2, 1, 2, 1, 1, 1, 22, 1, 4, 3, 2], ['-141158921/475241724', '-44088645/148433861', '-8892986/29940141', '-8516701/28673297', '-376285/1266844', '-238431/802729', '-137854/464115', '-100577/338614', '-37277/125501', '-26023/87612', '-11254/37889', '-3515/11834', '-709/2387', '-679/2286', '-30/101', '-19/64', '-11/37', '-8/27', '-3/10', '-2/7', '-1/3', '0/1', '-1/1', '1/0', '0/1'], matrix([[-326406487, -141158921], [1098917309, 475241724]])) (50, 1, 1) ([0, 6, 1, 8, 6, 3, 10, 6, 1, 8, 6, 3, 10, 6, 1, 8, 6, 3, 10, 6, 1, 8, 6, 3], ['108535858574135/747899735961211', '17755278645001/122348211779646', '2004186704129/13810465283335', '1721785011969/11864489512966', '282401692160/1945975770369', '27374859009/188634890752', '8653102070/59626862849', '1415552799/9754302205', '159785276/1101049619', '137270591/945905253', '22514685/155144366', '2182481/15039057', '689875/4753796', '112856/777669', '12739/87782', '10944/75413', '1795/12369', '174/1199', '55/379', '9/62', '1/7', '1/6', '0/1', '1/0', '0/1'], matrix([[ 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'87888801/97333679', '59993168/66440271', '27895633/30893408', '4201902/4653455', '2684221/2972678', '1517681/1680777', '1166540/1291901', '351141/388876', '113117/125273', '11790/13057', '7007/7760', '4783/5297', '2224/2463', '335/371', '214/237', '121/134', '93/103', '28/31', '9/10', '1/1', '0/1', '1/0', '0/1'], matrix([[4404361535, 1418826522], [4877671637, 1571299229]])) (52, 1, 0) ([0, 1, 1, 1, 7, 1, 2, 1, 9, 1, 10, 1, 1, 1, 7, 1, 2, 1, 9, 1, 10, 1, 1, 1], ['202883024/310476877', '105888005/162043016', '96995019/148433861', '8892986/13609155', '8065159/12342311', '827827/1266844', '614716/940715', '213111/326129', '188494/288457', '24617/37672', '16175/24753', '8442/12919', '7733/11834', '709/1085', '643/984', '66/101', '49/75', '17/26', '15/23', '2/3', '1/2', '1/1', '0/1', '1/0', '0/1'], matrix([[308771029, 202883024], [472519893, 310476877]])) (52, 1, 1) ([-1, 1, 2, 24, 4, 2, 2, 7, 3, 24, 4, 2, 2, 7, 3, 24, 4, 2, 2, 7, 3, 24, 4, 2], ['-191412652363617/582138754020391', 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1, 5, 2, 1, 6, 1, 2, 2, 2, 4, 1, 5, 2, 1, 6, 1, 2, 2, 2, 4], ['319909213/784802962', '131877101/323521597', '56155011/137759768', '19567079/48002061', '17020853/41755646', '2546226/6246415', '1743497/4277156', '802729/1969259', '138039/338638', '112534/276069', '25505/62569', '10514/25793', '4477/10983', '1560/3827', '1357/3329', '203/498', '139/341', '64/157', '11/27', '9/22', '2/5', '1/2', '0/1', '1/0', '0/1'], matrix([[1411513953, 319909213], [3462733445, 784802962]])) (54, 1, 1) ([0, 1, 1, 49, 2, 1, 1, 3, 1, 1, 2, 1, 1, 49, 2, 1, 1, 3, 1, 1, 2, 1, 1, 49], ['158643863/314139433', '92278850/182726423', '66365013/131413010', '25913837/51313413', '14537339/28786184', '11376498/22527229', '3160841/6258955', '1893975/3750364', '1266866/2508591', '627109/1241773', '12648/25045', '7357/14568', '5291/10477', '2066/4091', '1159/2295', '907/1796', '252/499', '151/299', '101/200', '50/99', '1/2', '1/1', '0/1', '1/0', '0/1'], matrix([[ 7865828137, 158643863], [15575558640, 314139433]])) (55, 0, 0) ([0, 17, 2, 4, 1, 5, 11, 17, 2, 4, 1, 5, 11, 17, 2, 4, 1, 5, 11, 17, 2, 4, 1, 5], ['21708587656459/378883165921984', '17751345473801/309816837415837', '3957242182658/69066328506147', '1922376743169/33551523391249', '112488696320/1963281723649', '10068905729/175734089216', '1730733301/30206742273', '1415239224/24700377851', '315494077/5506364422', '153262916/2674920163', '8968245/156524096', '802751/14010531', '137984/2408255', '112831/1969256', '25153/438999', '12219/213260', '715/12479', '64/1117', '11/192', '9/157', '2/35', '1/17', '0/1', '1/0', '0/1'], matrix([[ 126294283756096, 21708587656459], [2204232667025757, 378883165921984]])) (55, 0, 1) ([-1, 1, 1, 4, 1, 1139, 2, 4, 1, 1139, 2, 4, 1, 1139, 2, 4, 1, 1139, 2, 4, 1, 1139, 2, 4], ['-5542893296725055604/-6242477731466585601', '6513803744177647683/-3257373418926878203', '-123756711370799354/272269106387170805', '-101254594158301039/222763659147952374', '-22502117212498315/49505447239218431', 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4, 7, 1, 1, 4, 1, 3], ['-783021856/947134467', '-641486645/775935061', '-141535211/171199406', '-75345801/91137437', '-66189410/80061969', '-9156391/11075468', '-2094673/2533693', '-777699/940696', '-539275/652301', '-238424/288395', '-62427/75511', '-51143/61862', '-11284/13649', '-6007/7266', '-5277/6383', '-730/883', '-167/202', '-62/75', '-43/52', '-19/23', '-5/6', '-4/5', '-1/1', '1/0', '0/1'], matrix([[-2990552213, -783021856], [ 3617338462, 947134467]])) (56, 0, 0) ([0, 4, 1, 1, 6, 1, 6, 3, 8, 4, 1, 1, 6, 1, 6, 3, 8, 4, 1, 1, 6, 1, 6, 3], ['16204765688/73471625473', '2359589145/10698263293', '2047230818/9282045715', '312358327/1416217578', '173080856/784740247', '139277471/631477331', '33803385/153262916', '4063931/18425667', '1291937/5857580', '188120/852927', '163217/740018', '24903/112909', '13799/62564', '11104/50345', '2695/12219', '324/1469', '103/467', '15/68', '13/59', '2/9', '1/5', '1/4', '0/1', '1/0', '0/1'], matrix([[ 50973886209, 16204765688], [231113139712, 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1, 1, 1, 7], ['165266567/310426705', '100005338/187843967', '65261229/122582738', '34744109/65261229', '30517120/57321509', '4226989/7939720', '928197/1743469', '514201/965844', '413996/777625', '100205/188219', '13176/24749', '7973/14976', '5203/9773', '2770/5203', '2433/4570', '337/633', '74/139', '41/77', '33/62', '8/15', '1/2', '1/1', '0/1', '1/0', '0/1'], matrix([[1256871307, 165266567], [2360830902, 310426705]])) (58, 0, 0) ([-1, 1, 5, 1, 6, 1, 1, 4, 8, 3, 6, 1, 6, 1, 1, 4, 8, 3, 6, 1, 6, 1, 1, 4], ['-2359589145/16204765688', '-1259906713/8652562721', '-1099682432/7552202967', '-160224281/1100359754', '-138336746/950044443', '-21887535/150315311', '-7011536/48152577', '-852927/5857580', '-188120/1291937', '-100447/689832', '-87673/602105', '-12774/87727', '-11029/75743', '-1745/11984', '-559/3839', '-68/467', '-15/103', '-8/55', '-7/48', '-1/7', '-1/6', '0/1', '-1/1', '1/0', '0/1'], matrix([[-10698263293, -2359589145], [ 73471625473, 16204765688]])) (58, 0, 1) ([-1, 3, 1, 1, 21, 1, 1, 1, 2, 9, 1, 2, 1, 1, 21, 1, 1, 1, 2, 9, 1, 2, 1, 1], ['-451635798/631477331', '-335939167/469710261', '-115696631/161767070', '-104545905/146176121', '-11150726/15590949', '-4189371/5857580', '-2771984/3875789', '-1417387/1981791', '-1354597/1893998', '-62790/87793', '-36007/50345', '-26783/37448', '-9224/12897', '-8335/11654', '-889/1243', '-334/467', '-221/309', '-113/158', '-108/151', '-5/7', '-3/4', '-2/3', '-1/1', '1/0', '0/1'], matrix([[-787574965, -451635798], [1101187592, 631477331]])) (58, 1, 0) ([-1, 6, 6, 338, 1, 5, 6, 338, 1, 5, 6, 338, 1, 5, 6, 338, 1, 5, 6, 338, 1, 5, 6, 338], ['4933088128765074943/-5263280723343856640', '7301986583857754450/-379696068467358207', '-1985343226962348525/-2985104312539707398', '-1218041355040054541/-3900918579478372833', '-767301871922293984/915814266938665435', '-124425677238410573/148508448315087609', '-20747808491830546/24763577048139781', '-20686634779257843/24690563074388704', '-61173712572703/73013973751077', 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['166483238/312734617', '91137437/171199406', '75345801/141535211', '15791636/29664195', '12179257/22878431', '3612379/6785764', '1342120/2521139', '928139/1743486', '413981/777653', '100177/188180', '13273/24933', '7266/13649', '6007/11284', '1259/2365', '971/1824', '288/541', '107/201', '74/139', '33/62', '8/15', '1/2', '1/1', '0/1', '1/0', '0/1'], matrix([[1256520103, 166483238], [2360341725, 312734617]])) (60, 0, 0) ([0, 2, 1, 2, 255, 1, 1, 1, 1, 2, 1, 2, 255, 1, 1, 1, 1, 2, 1, 2, 255, 1, 1, 1], ['241496724223/644096103169', '120984321026/322677377791', '120512403197/321418725378', '471917829/1258652413', '173356802/462360063', '125204225/333932287', '48152577/128427776', '28899071/77076735', '19253506/51351041', '9645565/25725694', '9607941/25625347', '37624/100347', '13821/36862', '9982/26623', '3839/10239', '2304/6145', '1535/4094', '769/2051', '766/2043', '3/8', '1/3', '1/2', '0/1', '1/0', '0/1'], matrix([[362481045249, 241496724223], [966773480960, 644096103169]])) (60, 0, 1) ([0, 9, 1, 4, 1, 8, 5, 1, 3, 9, 1, 4, 1, 8, 5, 1, 3, 9, 1, 4, 1, 8, 5, 1], ['42635613437/419118710529', '8338272772/81967300351', '944249577/9282208774', '784276156/7709630159', '159973421/1572578615', '144382472/1419315699', '15590949/153262916', '4063931/39949455', '3399156/33414551', '664775/6534904', '75281/740031', '62527/614656', '12754/125375', '11511/113156', '1243/12219', '324/3185', '271/2664', '53/521', '6/59', '5/49', '1/10', '1/9', '0/1', '1/0', '0/1'], matrix([[ 50973886209, 42635613437], [501086010880, 419118710529]])) (60, 1, 0) ([-1, 1, 4, 1, 4, 2, 2, 2, 1, 6, 1, 2, 5, 1, 4, 2, 2, 2, 1, 6, 1, 2, 5, 1], ['-136518011/793884094', '-25525005/148433861', '-8892986/51714789', '-7739033/45004283', '-1153953/6710506', '-815315/4741247', '-338638/1969259', '-138039/802729', '-62560/363801', '-12919/75127', '-10884/63293', '-2035/11834', '-709/4123', '-617/3588', '-92/535', '-65/378', '-27/157', '-11/64', '-5/29', '-1/6', '-1/5', '0/1', '-1/1', '1/0', '0/1'], matrix([[-162043016, -136518011], [ 942317955, 793884094]])) (60, 1, 1) ([-1, 1, 2, 1, 1, 2, 49, 1, 1, 2, 1, 1, 3, 1, 1, 2, 49, 1, 1, 2, 1, 1, 3, 1], ['-134787077/485125608', '-37616457/135389141', '-21937706/78958185', '-15678751/56430956', '-6258955/22527229', '-3160841/11376498', '-3098114/11150731', '-62727/225767', '-24491/88148', '-13745/49471', '-10746/38677', '-2999/10794', '-1749/6295', '-1250/4499', '-499/1796', '-252/907', '-247/889', '-5/18', '-2/7', '-1/4', '-1/3', '0/1', '-1/1', '1/0', '0/1'], matrix([[-172403534, -134787077], [ 620514749, 485125608]])) (61, 0, 0) ([-1, 1, 2, 1, 7, 4, 2, 43, 3, 1, 7, 4, 2, 43, 3, 1, 7, 4, 2, 43, 3, 1, 7, 4], ['-15773117699592/61174184553247', '-2034865439489/7891986626052', '-1529059623169/5930278170883', '-505805816320/1961708455169', '-11642174209/45152805376', '-5192325333/20137824001', '-1257523543/4877157374', '-162231161/629194505', '-121905416/472795839', '-40325745/156398666', '-928181/3599841', '-413962/1605503', '-100257/388835', '-12934/50163', '-9719/37694', '-3215/12469', '-74/287', '-33/128', '-8/31', '-1/4', '-1/3', '0/1', '-1/1', '1/0', '0/1'], matrix([[-65127336237857, -15773117699592], [252588724839040, 61174184553247]])) (61, 0, 1) ([-1, 1, 19, 2, 1, 1, 1, 3, 1, 4, 1, 2, 20, 2, 1, 1, 1, 3, 1, 4, 1, 2, 20, 2], ['-154454501/3147552943', '-7588515/154642646', '-2684201/54700023', '-2220113/45242600', '-464088/9457423', '-363761/7412908', '-100327/2044515', '-62780/1279363', '-37547/765152', '-25233/514211', '-12314/250941', '-605/12329', '-214/4361', '-177/3607', '-37/754', '-29/591', '-8/163', '-5/102', '-3/61', '-2/41', '-1/20', '0/1', '-1/1', '1/0', '0/1'], matrix([[-316497517, -154454501], [6449748532, 3147552943]])) (61, 1, 0) ([-1, 1, 7, 1, 2, 1, 1, 7, 1, 3, 1, 1, 1, 1, 8, 1, 2, 1, 1, 7, 1, 3, 1, 1], ['-3675097/32034823', '-2922522/25474831', '-752575/6559992', '-664797/5794855', '-87778/765137', '-50351/438896', '-37427/326241', '-12924/112655', '-11579/100931', '-1345/11724', '-819/7139', '-526/4585', '-293/2554', '-233/2031', '-60/523', '-53/462', '-7/61', '-4/35', '-3/26', '-1/9', '-1/8', '0/1', '-1/1', '1/0', '0/1'], matrix([[-6597619, -3675097], [57509654, 32034823]])) (61, 1, 1) ([0, 291, 3, 1, 1, 2, 2, 291, 3, 1, 1, 2, 2, 291, 3, 1, 1, 2, 2, 291, 3, 1, 1, 2], ['13813769147143/4023661801550071', '7892615933444/2298953812491661', '5921153213699/1724707989058410', '1971462719745/574245823433251', '6765054464/1970518758657', '2831870721/824864664064', '1101313022/320789430529', '629244677/183285803006', '472068345/137503627523', '157176332/45782175483', '539349/157101074', '225773/65762949', '87803/25575176', '50167/14612597', '37636/10962579', '12531/3650018', '43/12525', '18/5243', '7/2039', '4/1165', '3/874', '1/291', '0/1', '1/0', '0/1'], matrix([[ 35520154227730, 13813769147143], [10346277415591803, 4023661801550071]])) (62, 0, 0) ([-1, 1, 11, 4, 1, 1, 2, 1, 5, 2, 1, 1, 12, 4, 1, 1, 2, 1, 5, 2, 1, 1, 12, 4], ['-154642646/1889515137', '-12279597/150039365', '-7287482/89042757', '-4992115/60996608', '-2295367/28046149', '-401381/4904310', '-288462/3524599', '-112919/1379711', '-62624/765177', '-50295/614534', '-12329/150643', '-979/11962', '-581/7099', '-398/4863', '-183/2236', '-32/391', '-23/281', '-9/110', '-5/61', '-4/49', '-1/12', '0/1', '-1/1', '1/0', '0/1'], matrix([[-630850181, -154642646], [7708099913, 1889515137]])) (62, 0, 1) ([-1, 1, 5, 1, 1, 1, 3, 3, 9, 1, 1, 2, 6, 1, 1, 1, 3, 3, 9, 1, 1, 2, 6, 1], ['-143040371/949617981', '-22364169/148471490', '-8855357/58789041', '-4653455/30893408', '-4201902/27895633', '-451553/2997775', '-137925/915658', '-37778/250801', '-24591/163255', '-13187/87546', '-11404/75709', '-1783/11837', '-706/4687', '-371/2463', '-335/2224', '-36/239', '-11/73', '-3/20', '-2/13', '-1/7', '-1/6', '0/1', '-1/1', '1/0', '0/1'], matrix([[-165404540, -143040371], [1098089471, 949617981]])) (62, 1, 0) ([-1, 3, 1, 7, 1, 1, 1, 10, 1, 9, 1, 2, 1, 7, 1, 1, 1, 10, 1, 9, 1, 2, 1, 7], ['-467628123/629746397', '-347980447/468619020', '-119647676/161127377', '-108685095/146364266', '-10962581/14763111', '-10021866/13496267', '-940715/1266844', '-614716/827827', '-325999/439017', '-288717/388810', '-37282/50207', '-27743/37361', '-9539/12846', '-8665/11669', '-874/1177', '-799/1076', '-75/101', '-49/66', '-26/35', '-23/31', '-3/4', '-2/3', '-1/1', '1/0', '0/1'], matrix([[-3621377308, -467628123], [ 4876843799, 629746397]])) (62, 1, 1) ([0, 2, 2, 4, 24, 3, 7, 2, 2, 4, 24, 3, 7, 2, 2, 4, 24, 3, 7, 2, 2, 4, 24, 3], ['430191541226714/1051795734817045', '17756694586633/43414186102806', '4030871147522/9855268349701', '1633209996545/3993112704002', '764451154432/1869042941697', '104307687681/255026820608', '34297340665/83855197441', '1415665686/3461228285', '321364201/785718601', '130208882/318353881', '60946437/149010839', '8316008/20332203', '2734381/6685418', '112865/275949', '25621/62642', '10381/25381', '4859/11880', '663/1621', '218/533', '9/22', '2/5', '1/2', '0/1', '1/0', '0/1'], matrix([[1308331318266775, 430191541226714], [3198801390553941, 1051795734817045]])) (63, 0, 0) ([-1, 1, 32, 1, 3, 1, 1, 1, 4, 1, 1, 2, 33, 1, 3, 1, 1, 1, 4, 1, 1, 2, 33, 1], ['-153714464/5193203343', '-4603281/155520656', '-1806191/61021695', '-990899/33477266', '-815292/27544429', '-175607/5932837', '-112864/3813081', '-62743/2119756', '-50121/1693325', '-12622/426431', '-12255/414032', '-367/12399', '-144/4865', '-79/2669', '-65/2196', '-14/473', '-9/304', '-5/169', '-4/135', '-1/34', '-1/33', '0/1', '-1/1', '1/0', '0/1'], matrix([[-158317745, -153714464], [5348723999, 5193203343]])) (63, 0, 1) ([0, 1, 2, 9, 12, 3, 11, 1, 2, 9, 12, 3, 11, 1, 2, 9, 12, 3, 11, 1, 2, 9, 12, 3], ['453872378237158/668965710284371', '37488313083667/55254289954332', '4012621233154/5914230832387', '1374721985281/2026212462849', '1263177262592/1861805906689', '111544722689/164406556160', '36185313013/53333788929', '2988783650/4405189373', '319909213/471516453', '109600733/161541296', '100707747/148433861', '8892986/13107435', '2884901/4252076', '238283/351207', '25505/37592', '8738/12879', '8029/11834', '709/1045', '230/339', '19/28', '2/3', '1/1', '0/1', '1/0', '0/1'], matrix([[1399105447795141, 453872378237158], [2062151420807445, 668965710284371]])) (63, 1, 0) ([-1, 2, 1, 1, 3, 3, 1, 25, 2, 2, 1, 1, 1, 1, 3, 3, 1, 25, 2, 2, 1, 1, 1, 1], ['-293318053/480547413', '-185222480/303452797', '-108095573/177094616', '-77126907/126358181', '-30968666/50736435', '-15189575/24885311', '-589516/965813', '-451675/739986', '-137841/225827', '-38152/62505', '-23385/38312', '-14767/24193', '-8618/14119', '-6149/10074', '-2469/4045', '-1211/1984', '-47/77', '-36/59', '-11/18', '-3/5', '-2/3', '-1/2', '-1/1', '1/0', '0/1'], matrix([[-478540533, -293318053], [ 784000210, 480547413]])) (63, 1, 1) ([-1, 3, 1, 22, 5, 3, 1, 5, 1, 2, 1, 22, 5, 3, 1, 5, 1, 2, 1, 22, 5, 3, 1, 5], ['-226550648577/303168836096', '-172587614971/230955800321', '-53963033606/72213035775', 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'119/381', '114/365', '5/16', '4/13', '1/3', '0/1', '1/0', '0/1'], matrix([[ 786257950, 637824089], [2517367541, 2042125817]])) (64, 1, 1) ([0, 1, 6, 10, 3, 6, 8, 1, 6, 10, 3, 6, 8, 1, 6, 10, 3, 6, 8, 1, 6, 10, 3, 6], ['372964529937853/434136983895772', '120366680141629/140108839537479', '11864489512966/13810465283335', '1721785011969/2004186704129', '1533779441152/1785345058561', '188005570817/218841645568', '29734874616/34611894017', '9596323121/11170281466', '945905253/1101049619', '137270591/159785276', '122281707/142337963', '14988884/17447313', '2370635/2759459', '765074/890559', '75413/87782', '10944/12739', '9749/11348', '1195/1391', '189/220', '61/71', '6/7', '1/1', '0/1', '1/0', '0/1'], matrix([[2358153859768747, 372964529937853], [2744930742912111, 434136983895772]])) (65, 0, 0) ([-1, 2, 1, 2, 1, 3, 1, 2, 1, 9, 2, 2, 1, 1, 1, 2, 1, 3, 1, 2, 1, 9, 2, 2], ['-32097536/50585919', '-15264833/24057473', '-1567870/2470973', '-1154003/1818716', '-413867/652257', '-326269/514202', 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matrix([[-643320975258775405, 1023017043726133612], [5177644736897375745, 9070651608037529087]])) (65, 1, 0) ([0, 2, 1, 211, 1, 7, 2, 2, 1, 211, 1, 7, 2, 2, 1, 211, 1, 7, 2, 2, 1, 211, 1, 7], ['420324001382869/1258997552218750', '418347976184532/1253078758907771', '1976025198337/5918793310979', '1406659335425/4213370291202', '569365862912/1705423019777', '267927609601/802524251648', '33510643710/100374516481', '33353103631/99902636281', '157540079/471880200', '112146962/335914081', '45393117/135966119', '21360728/63981843', '2671661/8002433', '2659101/7964812', '12560/37621', '8941/26781', '3619/10840', '1703/5101', '213/638', '212/635', '1/3', '1/2', '0/1', '1/0', '0/1'], matrix([[ 3360615985864615, 420324001382869], [10066061624439021, 1258997552218750]])) (65, 1, 1) ([0, 2, 1, 57, 9, 2, 3, 2, 1, 57, 9, 2, 3, 2, 1, 57, 9, 2, 3, 2, 1, 57, 9, 2], ['1032062857705227/3078426844069912', '114453235943482/341389975706029', '1983734213889/5917062715651', '1380385751809/4117400913922', 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'8/17', '1/2', '0/1', '1/0', '0/1'], matrix([[261005228289, 25172333309], [553003870720, 53333788929]])) (66, 1, 1) ([0, 1, 2, 3, 1, 1, 7, 3, 22, 1, 2, 3, 1, 1, 7, 3, 22, 1, 2, 3, 1, 1, 7, 3], ['19036824554/27374859009', '2516389187/3618555133', '1422100245/2044973078', '1094288942/1573582055', '327811303/471391023', '110855033/159408986', '106101237/152573051', '4753796/6835935', '1517725/2182481', '200621/288492', '113378/163037', '87243/125455', '26135/37582', '8838/12709', '8459/12164', '379/545', '121/174', '16/23', '9/13', '7/10', '2/3', '1/1', '0/1', '1/0', '0/1'], matrix([[59626862849, 19036824554], [85743132160, 27374859009]])) (67, 0, 0) ([0, 1, 3, 1, 11, 4, 5, 3, 2, 1, 3, 1, 11, 4, 5, 3, 2, 1, 3, 1, 11, 4, 5, 3], ['158428161022/198861123329', '30206667015/37915807997', '7394825947/9282083344', '627363227/787474621', '493830450/619862513', '133532777/167612108', '93232119/117026189', '40300658/50585919', '12630803/15854351', '2408249/3022866', '589558/740021', '50017/62782', 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['321740491/471365937', '110177711/161415866', '101385069/148534205', '8792642/12881661', '4666007/6835934', '4126635/6045727', '539372/790207', '351031/514278', '188341/275929', '162690/238349', '25651/37580', '8784/12869', '8083/11842', '701/1027', '372/545', '329/482', '43/63', '28/41', '15/22', '13/19', '2/3', '1/1', '0/1', '1/0', '0/1'], matrix([[2040620657, 321740491], [2989611488, 471365937]])) (70, 0, 0) ([0, 3, 5, 12, 1, 6, 3, 1, 1, 3, 5, 12, 1, 6, 3, 1, 1, 3, 5, 12, 1, 6, 3, 1], ['226078693119/722759527169', '71898344450/229854537471', '10383659769/33195914756', '9596385836/30679048935', '787273933/2516865821', '149098640/476659083', '41780733/133570406', '23756441/75947865', '18024292/57622541', '5732149/18325324', '827845/2646569', '765079/2445910', '62766/200659', '11887/38002', '3331/10649', '1894/6055', '1437/4594', '457/1461', '66/211', '61/195', '5/16', '1/3', '0/1', '1/0', '0/1'], matrix([[297977037569, 226078693119], [952614064640, 722759527169]])) (70, 0, 1) ([0, 1, 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[246373831425, 175734101759]])) (70, 1, 1) ([0, 10, 1, 29, 38, 10, 1, 29, 38, 10, 1, 29, 38, 10, 1, 29, 38, 10, 1, 29, 38, 10, 1, 29], ['-2193048730322483238/2398974334215008769', '6458707563663721039/6275141176749093347', '-8651756293986204277/-3876166842534084578', '742550134978005729/8143321454670835895', '24826724268681253/272267133036528884', '22575131186249392/247574596611498259', '2251593082431861/24692536425030625', '59200361930782/649232361192009', '1979329062145/21706699734283', '1799819128577/19738068897802', '179509933568/1968630836481', '4719792897/51760532992', '157803482/1730582785', '143491919/1573632227', '14311563/156950558', '376289/4126647', '12581/137972', '11440/125459', '1141/12513', '30/329', '1/11', '1/10', '0/1', '1/0', '0/1'], matrix([[-1799473394559638015, -2193048730322483238], [ 2058420574146141184, 2398974334215008769]])) (71, 0, 0) ([0, 1, 71, 1, 1, 4, 18, 1, 71, 1, 1, 4, 18, 1, 71, 1, 1, 4, 18, 1, 71, 1, 1, 4], ['282191973677967/286135685751697', 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['-3146373901/11170243837', '-1417948512/5033995045', '-310476877/1102253747', '-176041004/624980057', '-134435873/477273690', '-41605131/147706367', '-9620480/34154589', '-3123211/11088011', '-250847/890556', '-113047/401339', '-24753/87878', '-14035/49827', '-10718/38051', '-3317/11776', '-767/2723', '-249/884', '-20/71', '-9/32', '-2/7', '-1/4', '-1/3', '0/1', '-1/1', '1/0', '0/1'], matrix([[-39174435324, -3146373901], [139076921089, 11170243837]])) (72, 1, 0) ([0, 1, 4, 5, 1, 21, 1, 5, 2, 1, 4, 5, 1, 21, 1, 5, 2, 1, 4, 5, 1, 21, 1, 5], ['89833655294/111387395841', '85900321035/106510338811', '3933334259/4877057030', '3300301596/4092141181', '633032663/784915849', '135138281/167561936', '92479539/114668105', '42658742/52893831', '7162055/8880443', '6848467/8491616', '313588/388827', '263119/326249', '50469/62578', '10774/13359', '7373/9142', '3401/4217', '571/708', '546/677', '25/31', '21/26', '4/5', '1/1', '0/1', '1/0', '0/1'], matrix([[535068597505, 89833655294], [663447318016, 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matrix([[ 35713181953, 22340450045], [534439302656, 334319539457]])) (73, 0, 1) ([-1, 1, 1, 3, 6, 1, 1, 1, 9, 1, 2, 2, 2, 3, 6, 1, 1, 1, 9, 1, 2, 2, 2, 3], ['-139126955/322417813', '-57334053/132867998', '-24458849/56681817', '-8416355/19504364', '-7626139/17673089', '-790216/1831275', '-514195/1191614', '-276021/639661', '-238174/551953', '-37847/87708', '-11092/25705', '-4571/10593', '-1950/4519', '-671/1555', '-608/1409', '-63/146', '-41/95', '-22/51', '-19/44', '-3/7', '-1/2', '0/1', '-1/1', '1/0', '0/1'], matrix([[-474714918, -139126955], [1100121437, 322417813]])) (73, 1, 0) ([0, 27, 2, 1, 1, 1, 1, 3, 4, 1, 1, 27, 2, 1, 1, 1, 1, 3, 4, 1, 1, 27, 2, 1], ['315970711/8652249146', '155169452/4249016481', '5631807/154216184', '3110663/85179513', '2521144/69036671', '589519/16142842', '163068/4465303', '100315/2746933', '62753/1718370', '37562/1028563', '25191/689807', '12371/338756', '449/12295', '248/6791', '201/5504', '47/1287', '13/356', '8/219', '5/137', '3/82', '2/55', '1/27', '0/1', '1/0', '0/1'], matrix([[ 471140163, 315970711], [12901265627, 8652249146]])) (73, 1, 1) ([-1, 1, 1, 8, 4, 1, 9, 1, 1, 6, 2, 8, 4, 1, 9, 1, 1, 6, 2, 8, 4, 1, 9, 1], ['-63245305095/134199813887', '-6450563827/13687410690', '-5190230652/11013117677', '-1260333175/2674293013', '-148897952/315945625', '-69149559/146728013', '-10598834/22489599', '-5556555/11790419', '-5042279/10699180', '-514276/1091239', '-413795/878029', '-100481/213210', '-11871/25189', '-5513/11698', '-845/1793', '-443/940', '-402/853', '-41/87', '-33/70', '-8/17', '-1/2', '0/1', '-1/1', '1/0', '0/1'], matrix([[-69695868922, -63245305095], [147887224577, 134199813887]])) (74, 0, 0) ([0, 1, 1, 123, 1, 2, 16, 1, 1, 123, 1, 2, 16, 1, 1, 123, 1, 2, 16, 1, 1, 123, 1, 2], ['246671347469693/491364152511481', '244690287812220/487417923208183', '1981059657473/3946229303298', '1019949943041/2031718902529', '961109714432/1914510400769', '58840228609/117208501760', '19666056688/39174372609', '19508115233/38859756542', 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matrix([[-163485461, -143930924], [1256394673, 1106116991]])) (75, 0, 0) ([0, 1, 1, 3, 8, 25, 8, 1, 1, 3, 8, 25, 8, 1, 1, 3, 8, 25, 8, 1, 1, 3, 8, 25], ['65121829798177/114454179904570', '7861779871236/13817387664647', '2227590828289/3915078587394', '1179007386369/2072151902465', '1048583441920/1842926684929', '130423944449/229225217536', '5191886328/9124944641', '626786249/1101601511', '177596336/312132553', '93997241/165203852', '83599095/146928701', '10398146/18275151', '413927/727493', '49971/87826', '14159/24885', '7494/13171', '6665/11714', '829/1457', '33/58', '4/7', '1/2', '1/1', '0/1', '1/0', '0/1'], matrix([[1635907524825661, 65121829798177], [2875171885278897, 114454179904570]])) (75, 0, 1) ([-1, 1, 1, 1, 1, 19, 1, 2, 4, 1, 4, 1, 2, 1, 1, 19, 1, 2, 4, 1, 4, 1, 2, 1], ['-133194116/334634695', '-47098965/118330661', '-38996186/97973373', '-8102779/20357288', '-6585070/16544221', '-1517709/3813067', '-514234/1291953', '-489241/1229161', '-24993/62792', '-14374/36113', 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[774205419008, 111544722689]])) (77, 1, 1) ([-1, 1, 3, 1, 4, 2, 1, 1, 1, 1, 1, 3, 1, 4, 4, 1, 4, 2, 1, 1, 1, 1, 1, 3], ['-1417354/6823393', '-878029/4226987', '-539325/2596406', '-338704/1630581', '-200621/965825', '-138083/664756', '-62538/301069', '-13007/62618', '-10510/50597', '-2497/12021', '-522/2513', '-409/1969', '-113/544', '-70/337', '-43/207', '-27/130', '-16/77', '-11/53', '-5/24', '-1/5', '-1/4', '0/1', '-1/1', '1/0', '0/1'], matrix([[-5130091, -1417354], [24697166, 6823393]])) (78, 0, 0) ([0, 90, 4, 1, 27, 90, 4, 1, 27, 90, 4, 1, 27, 90, 4, 1, 27, 90, 4, 1, 27, 90, 4, 1], ['6580582034383586789/-6008282288824370687', '-3826663368645508068/-5299413235901761025', '3440491435256067445/-3257373418926878203', '123756711370799354/-7283710711835548611', '99060228244484887/8935375063537418134', '24696483126314467/2227658298336584871', '274295739227019/24741870191078650', '9866595882757/889981139506371', '7897650392580/712379424406633', '1968945490177/177601715099738', 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matrix([[190994780929, 127592148986], [267298314752, 178565959937]])) (93, 0, 0) ([-1, 2, 1, 1, 1, 1, 1, 10, 3, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 10, 3, 6, 1, 1], ['-39221960/63379779', '-33866101/54725108', '-5355859/8654671', '-1730947/2797082', '-163018/263425', '-100767/162832', '-62251/100593', '-38516/62239', '-23735/38354', '-14781/23885', '-8954/14469', '-5827/9416', '-3127/5053', '-2700/4363', '-427/690', '-138/223', '-13/21', '-8/13', '-5/8', '-3/5', '-2/3', '-1/2', '-1/1', '1/0', '0/1'], matrix([[-73088061, -39221960], [118104887, 63379779]])) (93, 0, 1) ([-1, 1, 2, 5, 1, 17, 4, 1, 4, 1, 3, 5, 1, 17, 4, 1, 4, 1, 3, 5, 1, 17, 4, 1], ['-68279789317/216324466172', '-16834047994/53333738757', '-943597341/2989511144', '-792893197/2512049309', '-150704144/477461835', '-39372477/124740134', '-32586713/103241433', '-6785764/21498701', '-5443657/17246629', '-1342107/4252072', '-75229/238341', '-63214/200275', '-12015/38066', '-3139/9945', '-2598/8231', '-541/1714', '-434/1375', 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matrix([[1570070015, 481299993], [2045976518, 627187625]])) (99, 1, 0) ([0, 1, 1, 4, 1, 1, 1, 9, 11, 1, 2, 1, 1, 4, 1, 1, 1, 9, 11, 1, 2, 1, 1, 4], ['170170880/310251103', '97534367/177822110', '72636513/132428993', '24897854/45393117', '22840805/41642759', '2057049/3750358', '213266/388821', '137655/250969', '75611/137852', '62044/113117', '13567/24735', '7776/14177', '5791/10558', '1985/3619', '1821/3320', '164/299', '17/31', '11/20', '6/11', '5/9', '1/2', '1/1', '0/1', '1/0', '0/1'], matrix([[ 778217887, 170170880], [1418826522, 310251103]])) (99, 1, 1) ([0, 5, 1, 23, 2, 2, 1, 2, 4, 5, 1, 23, 2, 2, 1, 2, 4, 5, 1, 23, 2, 2, 1, 2], ['26902941180/160316045569', '19193762569/114376643582', '7709178611/45939401987', '3775405347/22497839608', '158367917/943722771', '132943256/792215875', '25424661/151506896', '5819951/34681395', '2144857/12781316', '1530237/9118763', '614620/3662553', '300997/1793657', '12626/75239', '10599/63160', '2027/12079', '464/2765', '171/1019', '122/727', 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