Magma V2.19-8 Tue Aug 20 2013 23:38:35 on localhost [Seed = 2463430304] Type ? for help. Type -D to quit. Loading file "K10a73__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K10a73 geometric_solution 11.51286041 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 12 1 2 1 3 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 1 -1 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 0.741337596113 0.907475632933 0 0 5 4 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 0 1 -1 0 0 0 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.290495393542 1.019156580766 6 0 3 6 0132 0132 1230 2031 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 0 0 0 -8 0 8 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 0.650105641537 1.199158305104 7 5 0 2 0132 0132 0132 3012 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 -1 1 0 0 0 0 0 -1 9 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.008569326874 0.567385192894 8 8 1 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 -1 1 0 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.290495393542 1.019156580766 7 3 10 1 3120 0132 0132 0132 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 1 0 -1 0 0 0 0 1 0 0 -1 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.519392099229 0.583791846771 2 2 7 10 0132 1302 3012 3201 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 0 0 0 8 0 -8 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 0.650596927216 0.644494632546 3 6 9 5 0132 1230 3012 3120 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 0 0 0 8 1 -9 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 0.563649487699 0.616774386802 4 11 11 4 0132 0132 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 -1 1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.460096766907 0.660898665794 11 7 4 10 2031 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 0 0 0 0 0 0 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 0.084441146962 1.557873525343 11 6 9 5 0213 2310 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 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 0.169508015220 0.710445293454 10 8 9 8 0213 0132 1302 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 0 0 0 0 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.741337596113 0.907475632933 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_0101_7'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : negation(d['c_0101_8']), 'c_1010_11' : negation(d['c_0101_8']), 'c_1010_10' : negation(d['c_0101_2']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : d['c_0011_11'], '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_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : negation(d['c_0101_5']), 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : d['c_0101_7'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_8'], 'c_1100_10' : d['c_1100_1'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_0101_7'], 'c_1010_8' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_5']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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'], 's_1_7' : d['1'], 's_1_6' : negation(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' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_0'], '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' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_5']), 'c_0110_10' : d['c_0101_5'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], '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_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_1'], 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_7, c_0101_8, c_1001_1, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 739384952689/816814916480*c_1100_1^10 + 116320516357/816814916480*c_1100_1^9 - 5087599213147/816814916480*c_1100_1^8 - 1060126218209/204203729120*c_1100_1^7 - 4134532016139/163362983296*c_1100_1^6 - 14929624838433/816814916480*c_1100_1^5 - 69612604496777/816814916480*c_1100_1^4 - 20719557049979/408407458240*c_1100_1^3 - 27068768974769/408407458240*c_1100_1^2 + 7950065581819/163362983296*c_1100_1 - 4529046306997/204203729120, c_0011_0 - 1, c_0011_10 + 54276239/2552546614*c_1100_1^10 + 19462033/2552546614*c_1100_1^9 + 322961453/2552546614*c_1100_1^8 + 283081941/1276273307*c_1100_1^7 + 1354573693/2552546614*c_1100_1^6 + 1888110079/2552546614*c_1100_1^5 + 4632805697/2552546614*c_1100_1^4 + 2704444896/1276273307*c_1100_1^3 + 1057023569/1276273307*c_1100_1^2 - 2151104757/2552546614*c_1100_1 - 937471388/1276273307, c_0011_11 - 1, c_0011_3 - 563513951/5105093228*c_1100_1^10 + 324450623/5105093228*c_1100_1^9 - 3802241165/5105093228*c_1100_1^8 - 405753279/1276273307*c_1100_1^7 - 13503492221/5105093228*c_1100_1^6 - 4274861187/5105093228*c_1100_1^5 - 44602333983/5105093228*c_1100_1^4 - 3207420177/2552546614*c_1100_1^3 - 8624289841/2552546614*c_1100_1^2 + 53930839605/5105093228*c_1100_1 - 3754830975/1276273307, c_0101_0 + 54276239/2552546614*c_1100_1^10 + 19462033/2552546614*c_1100_1^9 + 322961453/2552546614*c_1100_1^8 + 283081941/1276273307*c_1100_1^7 + 1354573693/2552546614*c_1100_1^6 + 1888110079/2552546614*c_1100_1^5 + 4632805697/2552546614*c_1100_1^4 + 2704444896/1276273307*c_1100_1^3 + 1057023569/1276273307*c_1100_1^2 - 2151104757/2552546614*c_1100_1 - 937471388/1276273307, c_0101_1 - 205853413/5105093228*c_1100_1^10 + 140527393/5105093228*c_1100_1^9 - 1390001903/5105093228*c_1100_1^8 - 131615720/1276273307*c_1100_1^7 - 4610876559/5105093228*c_1100_1^6 - 1323134425/5105093228*c_1100_1^5 - 15379120349/5105093228*c_1100_1^4 - 718389265/2552546614*c_1100_1^3 - 1399028323/2552546614*c_1100_1^2 + 17633884795/5105093228*c_1100_1 - 870707108/1276273307, c_0101_2 - 372100205/5105093228*c_1100_1^10 + 220112081/5105093228*c_1100_1^9 - 2583790071/5105093228*c_1100_1^8 - 231457747/1276273307*c_1100_1^7 - 9479948147/5105093228*c_1100_1^6 - 2535278553/5105093228*c_1100_1^5 - 30620647505/5105093228*c_1100_1^4 - 2245252157/2552546614*c_1100_1^3 - 6427938577/2552546614*c_1100_1^2 + 36708149675/5105093228*c_1100_1 - 2148058138/1276273307, c_0101_5 + 205853413/5105093228*c_1100_1^10 - 140527393/5105093228*c_1100_1^9 + 1390001903/5105093228*c_1100_1^8 + 131615720/1276273307*c_1100_1^7 + 4610876559/5105093228*c_1100_1^6 + 1323134425/5105093228*c_1100_1^5 + 15379120349/5105093228*c_1100_1^4 + 718389265/2552546614*c_1100_1^3 + 1399028323/2552546614*c_1100_1^2 - 17633884795/5105093228*c_1100_1 + 870707108/1276273307, c_0101_7 + 51817353/2552546614*c_1100_1^10 + 2151863/2552546614*c_1100_1^9 + 327247657/2552546614*c_1100_1^8 + 172042546/1276273307*c_1100_1^7 + 1343552149/2552546614*c_1100_1^6 + 883398105/2552546614*c_1100_1^5 + 4374201869/2552546614*c_1100_1^4 + 1133009306/1276273307*c_1100_1^3 + 387813012/1276273307*c_1100_1^2 - 5774133697/2552546614*c_1100_1 - 265999143/1276273307, c_0101_8 + 18743393/5105093228*c_1100_1^10 - 111440205/5105093228*c_1100_1^9 + 205225679/5105093228*c_1100_1^8 - 138845843/1276273307*c_1100_1^7 - 22071485/5105093228*c_1100_1^6 - 1414713043/5105093228*c_1100_1^5 - 538969111/5105093228*c_1100_1^4 - 3081422521/2552546614*c_1100_1^3 - 1595356479/2552546614*c_1100_1^2 - 2493716103/5105093228*c_1100_1 - 55527762/1276273307, c_1001_1 - 18743393/5105093228*c_1100_1^10 + 111440205/5105093228*c_1100_1^9 - 205225679/5105093228*c_1100_1^8 + 138845843/1276273307*c_1100_1^7 + 22071485/5105093228*c_1100_1^6 + 1414713043/5105093228*c_1100_1^5 + 538969111/5105093228*c_1100_1^4 + 3081422521/2552546614*c_1100_1^3 + 1595356479/2552546614*c_1100_1^2 + 2493716103/5105093228*c_1100_1 + 55527762/1276273307, c_1100_1^11 - c_1100_1^10 + 7*c_1100_1^9 + 23*c_1100_1^7 - 3*c_1100_1^6 + 77*c_1100_1^5 - 22*c_1100_1^4 + 26*c_1100_1^3 - 111*c_1100_1^2 + 72*c_1100_1 - 16 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_7, c_0101_8, c_1001_1, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 896465879583333040345319139948/5244365385481086265661537*c_1100_1^1\ 7 + 1737367638554517580529417875222/5244365385481086265661537*c_110\ 0_1^16 - 6167577704836723152257538349141/5244365385481086265661537*\ c_1100_1^15 - 2175203648400504005125296869603/524436538548108626566\ 1537*c_1100_1^14 + 761635301259322720909823092826/52443653854810862\ 65661537*c_1100_1^13 - 20571500938650670824437855267101/52443653854\ 81086265661537*c_1100_1^12 + 9482536100973929139010193365993/524436\ 5385481086265661537*c_1100_1^11 - 4791069223733609852403024637005/5\ 244365385481086265661537*c_1100_1^10 - 84564723815114648875416769261261/5244365385481086265661537*c_1100_1\ ^9 + 70958135978650800339763757211736/5244365385481086265661537*c_1\ 100_1^8 + 149625504164792940395498365608803/52443653854810862656615\ 37*c_1100_1^7 - 117127585889954459300803508244943/52443653854810862\ 65661537*c_1100_1^6 - 124696733725733638491470038189101/52443653854\ 81086265661537*c_1100_1^5 + 124051476648937492183508547819471/52443\ 65385481086265661537*c_1100_1^4 + 51615730339172647733571024440619/\ 5244365385481086265661537*c_1100_1^3 - 115134178552452514872254656926733/5244365385481086265661537*c_1100_\ 1^2 - 88714631357987319215310355230008/5244365385481086265661537*c_\ 1100_1 - 14463361812010144416076509951445/5244365385481086265661537\ , c_0011_0 - 1, c_0011_10 + 89201729281715086114/711293284345732573669*c_1100_1^17 - 202595045098822528810/711293284345732573669*c_1100_1^16 + 681726298165915123219/711293284345732573669*c_1100_1^15 - 14681816679893027414/711293284345732573669*c_1100_1^14 - 57852290547768220562/711293284345732573669*c_1100_1^13 + 2040204249956311328432/711293284345732573669*c_1100_1^12 - 1609422895614449201680/711293284345732573669*c_1100_1^11 + 1053665611491660775593/711293284345732573669*c_1100_1^10 + 7926829729965957742257/711293284345732573669*c_1100_1^9 - 9464920830027456183790/711293284345732573669*c_1100_1^8 - 11920320668792165473363/711293284345732573669*c_1100_1^7 + 15438146577210517696942/711293284345732573669*c_1100_1^6 + 7800276870372646227325/711293284345732573669*c_1100_1^5 - 15104059278221703976228/711293284345732573669*c_1100_1^4 - 807640077081401656690/711293284345732573669*c_1100_1^3 + 11759788893725362219143/711293284345732573669*c_1100_1^2 + 4676328294397304155966/711293284345732573669*c_1100_1 - 166673668202003462117/711293284345732573669, c_0011_11 - 249586434978918167798/711293284345732573669*c_1100_1^17 + 566831535621686000571/711293284345732573669*c_1100_1^16 - 1902131697018905668056/711293284345732573669*c_1100_1^15 + 16346955996225958501/711293284345732573669*c_1100_1^14 + 250704067313201483604/711293284345732573669*c_1100_1^13 - 5860664742034068180713/711293284345732573669*c_1100_1^12 + 4679808537140613510362/711293284345732573669*c_1100_1^11 - 2888056986652860873577/711293284345732573669*c_1100_1^10 - 22631483773917339641411/711293284345732573669*c_1100_1^9 + 27523301439538028363085/711293284345732573669*c_1100_1^8 + 32539040271253013397125/711293284345732573669*c_1100_1^7 - 43684419063857390584589/711293284345732573669*c_1100_1^6 - 19907079049434502073048/711293284345732573669*c_1100_1^5 + 41147151187059287721511/711293284345732573669*c_1100_1^4 + 784757252060670455864/711293284345732573669*c_1100_1^3 - 32042456507551212985991/711293284345732573669*c_1100_1^2 - 13822129510734122676283/711293284345732573669*c_1100_1 + 1161938275946012467014/711293284345732573669, c_0011_3 + 104937843704976262626/711293284345732573669*c_1100_1^17 - 214196629527292670102/711293284345732573669*c_1100_1^16 + 737482670005700222732/711293284345732573669*c_1100_1^15 + 191686955101918536301/711293284345732573669*c_1100_1^14 - 147151377979639372442/711293284345732573669*c_1100_1^13 + 2384011077610427479136/711293284345732573669*c_1100_1^12 - 1254315536551815854471/711293284345732573669*c_1100_1^11 + 429647410074749918507/711293284345732573669*c_1100_1^10 + 10082741014898347250584/711293284345732573669*c_1100_1^9 - 9286946659536452910241/711293284345732573669*c_1100_1^8 - 17420563898749583271764/711293284345732573669*c_1100_1^7 + 16666134772782330810636/711293284345732573669*c_1100_1^6 + 13988404706754978073184/711293284345732573669*c_1100_1^5 - 17731307136063123266121/711293284345732573669*c_1100_1^4 - 4408256025046880890966/711293284345732573669*c_1100_1^3 + 15376120376164247695079/711293284345732573669*c_1100_1^2 + 8027911536426457398315/711293284345732573669*c_1100_1 - 227570358951442809712/711293284345732573669, c_0101_0 + 89201729281715086114/711293284345732573669*c_1100_1^17 - 202595045098822528810/711293284345732573669*c_1100_1^16 + 681726298165915123219/711293284345732573669*c_1100_1^15 - 14681816679893027414/711293284345732573669*c_1100_1^14 - 57852290547768220562/711293284345732573669*c_1100_1^13 + 2040204249956311328432/711293284345732573669*c_1100_1^12 - 1609422895614449201680/711293284345732573669*c_1100_1^11 + 1053665611491660775593/711293284345732573669*c_1100_1^10 + 7926829729965957742257/711293284345732573669*c_1100_1^9 - 9464920830027456183790/711293284345732573669*c_1100_1^8 - 11920320668792165473363/711293284345732573669*c_1100_1^7 + 15438146577210517696942/711293284345732573669*c_1100_1^6 + 7800276870372646227325/711293284345732573669*c_1100_1^5 - 15104059278221703976228/711293284345732573669*c_1100_1^4 - 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