Magma V2.19-8 Wed Aug 21 2013 00:08:26 on localhost [Seed = 1292575354] Type ? for help. Type -D to quit. Loading file "K13n2354__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n2354 geometric_solution 12.04701416 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 1230 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.983575103517 0.861439506265 0 4 0 5 0132 0132 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.424640976844 0.503913723579 6 7 5 0 0132 0132 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.731522294095 0.772685920869 8 8 0 9 0132 1302 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.208891838627 0.910409125228 10 1 11 10 0132 0132 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 1 0 0 -1 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.019504495942 0.682698564609 6 2 1 8 2103 3201 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.861224889777 1.110815211706 2 9 5 11 0132 0321 2103 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.258408068848 0.553026968176 12 2 8 12 0132 0132 0213 2103 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14 0 -1 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.175001469266 0.763803536220 3 7 5 3 0132 0213 1230 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543830238659 0.625841112536 12 11 3 6 1230 3012 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.154973754824 0.326335326493 4 4 11 12 0132 1302 1023 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -1 0 1 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.322798396095 0.453479670543 9 6 10 4 1230 2310 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.635387536686 1.010101021570 7 9 10 7 0132 3012 2031 2103 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -14 0 1 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.175001469266 0.763803536220 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0101_10'], 'c_1001_12' : negation(d['c_0011_9']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_8'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0101_8']), 'c_1010_11' : negation(d['c_0101_2']), 'c_1010_10' : d['c_0101_12'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_5'], 'c_0011_10' : negation(d['c_0011_0']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : negation(d['c_0101_12']), 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : negation(d['c_0011_11']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_5'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_12']), 'c_1100_10' : d['c_0101_12'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_8'], 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : negation(d['c_0101_8']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0011_11']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : d['c_0011_3'], 'c_1100_8' : d['c_0011_11'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_12']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : d['c_0011_12'], 'c_0110_11' : d['c_0011_9'], 'c_0110_10' : d['c_0011_9'], 'c_0110_12' : negation(d['c_0011_3']), 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_9'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_12'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_8'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_12, c_0011_3, c_0011_5, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_2, c_0101_8, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 102347154767922784608147383/204082050727026413427500*c_1001_0^9 - 402915808776118207074788301/408164101454052826855000*c_1001_0^8 - 86355036375034852244760799/2915457867528948763250*c_1001_0^7 + 29503070288091265945342890701/408164101454052826855000*c_1001_0^6 + 102404233585439110401752353001/204082050727026413427500*c_1001_0^5 - 357060658183268511405036335809/408164101454052826855000*c_1001_0^4 - 228242309518586564879593793831/102041025363513206713750*c_1001_0^3 - 2850884022871074503944469671129/204082050727026413427500*c_1001_0^2 + 377900503565320342920135314829/408164101454052826855000*c_1001_0 - 6475635623170902096867209651/408164101454052826855000, c_0011_0 - 1, c_0011_11 - 2022323955586/927490268125*c_1001_0^9 + 3979391184821/927490268125*c_1001_0^8 + 23889147890062/185498053625*c_1001_0^7 - 291406253717721/927490268125*c_1001_0^6 - 2023643783503292/927490268125*c_1001_0^5 + 3526389689591489/927490268125*c_1001_0^4 + 9022138813600054/927490268125*c_1001_0^3 + 56337780330303918/927490268125*c_1001_0^2 - 3698076164972784/927490268125*c_1001_0 + 61454379094421/927490268125, c_0011_12 + 1762877248289/927490268125*c_1001_0^9 - 3466251110929/927490268125*c_1001_0^8 - 20825726019063/185498053625*c_1001_0^7 + 507757994459183/1854980536250*c_1001_0^6 + 1764428214084458/927490268125*c_1001_0^5 - 6143481051008647/1854980536250*c_1001_0^4 - 15737284539846517/1854980536250*c_1001_0^3 - 49122085559491457/927490268125*c_1001_0^2 + 3159348132078341/927490268125*c_1001_0 - 102730343210783/1854980536250, c_0011_3 + 323663597373/1854980536250*c_1001_0^9 - 317805883739/927490268125*c_1001_0^8 - 1911895224758/185498053625*c_1001_0^7 + 23280631399839/927490268125*c_1001_0^6 + 324051159511281/1854980536250*c_1001_0^5 - 281527698843426/927490268125*c_1001_0^4 - 723083987098261/927490268125*c_1001_0^3 - 4510991503709937/927490268125*c_1001_0^2 + 554217790003537/1854980536250*c_1001_0 - 8755250924653/1854980536250, c_0011_5 - 2254746113832/927490268125*c_1001_0^9 + 4439120681402/927490268125*c_1001_0^8 + 26633698991344/185498053625*c_1001_0^7 - 325035846674952/927490268125*c_1001_0^6 - 2255874296709104/927490268125*c_1001_0^5 + 3934009640859818/927490268125*c_1001_0^4 + 10055074493830848/927490268125*c_1001_0^3 + 62801463397652916/927490268125*c_1001_0^2 - 4187715811392608/927490268125*c_1001_0 + 70841294926602/927490268125, c_0011_9 + 167977383714/185498053625*c_1001_0^9 - 328737850604/185498053625*c_1001_0^8 - 1985018160538/37099610725*c_1001_0^7 + 24100410370204/185498053625*c_1001_0^6 + 168347006438558/185498053625*c_1001_0^5 - 291163184429211/185498053625*c_1001_0^4 - 752388300956396/185498053625*c_1001_0^3 - 4687636185427607/185498053625*c_1001_0^2 + 258194210831166/185498053625*c_1001_0 - 3502573334629/185498053625, c_0101_0 + 11815110689/5124255625*c_1001_0^9 - 46511115283/10248511250*c_1001_0^8 - 139565875363/1024851125*c_1001_0^7 + 3405757460733/10248511250*c_1001_0^6 + 11821873149758/5124255625*c_1001_0^5 - 41217675858847/10248511250*c_1001_0^4 - 52699484274671/5124255625*c_1001_0^3 - 329113932950157/5124255625*c_1001_0^2 + 43562787216007/10248511250*c_1001_0 - 730915326083/10248511250, c_0101_1 - 323663597373/1854980536250*c_1001_0^9 + 317805883739/927490268125*c_1001_0^8 + 1911895224758/185498053625*c_1001_0^7 - 23280631399839/927490268125*c_1001_0^6 - 324051159511281/1854980536250*c_1001_0^5 + 281527698843426/927490268125*c_1001_0^4 + 723083987098261/927490268125*c_1001_0^3 + 4510991503709937/927490268125*c_1001_0^2 - 554217790003537/1854980536250*c_1001_0 + 10610231460903/1854980536250, c_0101_10 - 501506175882/927490268125*c_1001_0^9 + 991638743952/927490268125*c_1001_0^8 + 5922153782694/185498053625*c_1001_0^7 - 72543389316877/927490268125*c_1001_0^6 - 501139153614204/927490268125*c_1001_0^5 + 879158301500893/927490268125*c_1001_0^4 + 2229377960995798/927490268125*c_1001_0^3 + 13949181844599566/927490268125*c_1001_0^2 - 1048487375992808/927490268125*c_1001_0 + 19731972782277/927490268125, c_0101_12 + 446442195782/927490268125*c_1001_0^9 - 875497152852/927490268125*c_1001_0^8 - 5274946190994/185498053625*c_1001_0^7 + 64157110787652/927490268125*c_1001_0^6 + 447167550658254/927490268125*c_1001_0^5 - 775589354485368/927490268125*c_1001_0^4 - 1996717899093148/927490268125*c_1001_0^3 - 12450314140260141/927490268125*c_1001_0^2 + 735240170872158/927490268125*c_1001_0 - 10283617556177/927490268125, c_0101_2 - 2022323955586/927490268125*c_1001_0^9 + 3979391184821/927490268125*c_1001_0^8 + 23889147890062/185498053625*c_1001_0^7 - 291406253717721/927490268125*c_1001_0^6 - 2023643783503292/927490268125*c_1001_0^5 + 3526389689591489/927490268125*c_1001_0^4 + 9022138813600054/927490268125*c_1001_0^3 + 56337780330303918/927490268125*c_1001_0^2 - 3698076164972784/927490268125*c_1001_0 + 61454379094421/927490268125, c_0101_8 + 1906112876463/927490268125*c_1001_0^9 - 7499052873061/1854980536250*c_1001_0^8 - 22516872339421/185498053625*c_1001_0^7 + 549182914478211/1854980536250*c_1001_0^6 + 1907528526900386/927490268125*c_1001_0^5 - 6645159427914649/1854980536250*c_1001_0^4 - 8505670973484657/927490268125*c_1001_0^3 - 53105938796629419/927490268125*c_1001_0^2 + 6907440173793869/1854980536250*c_1001_0 - 113521842356661/1854980536250, c_1001_0^10 - 2*c_1001_0^9 - 59*c_1001_0^8 + 146*c_1001_0^7 + 996*c_1001_0^6 - 1776*c_1001_0^5 - 4405*c_1001_0^4 - 27714*c_1001_0^3 + 2727*c_1001_0^2 - 90*c_1001_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 3.060 Total time: 3.270 seconds, Total memory usage: 64.12MB