Magma V2.19-8 Wed Aug 21 2013 00:56:18 on localhost [Seed = 1091001210] Type ? for help. Type -D to quit. Loading file "L13n1478__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n1478 geometric_solution 12.42119182 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 1 1 0 1 0 0 0 0 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 1 0 -1 0 0 0 0 1 1 0 -2 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.703815226841 0.874527252557 0 4 4 5 0132 0132 1302 0132 1 1 1 0 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 2 0 0 -2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.441484656091 0.693984543944 0 0 4 5 3012 0132 0132 0213 1 1 1 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 1 0 1 0 0 -1 0 -1 0 1 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.347421309059 1.025810340115 6 4 7 0 0132 1230 0132 0132 1 1 1 1 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 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.713294154331 0.612767055431 1 1 3 2 2031 0132 3012 0132 1 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 0 0 0 0 0 1 -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 0.347421309059 1.025810340115 6 7 1 2 2103 2103 0132 0213 1 1 1 1 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 1 0 0 -1 -1 0 0 1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.626427906016 1.338843937812 3 8 5 9 0132 0132 2103 0132 1 1 1 1 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 1 -1 0 0 -1 1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.778490119740 0.565266269087 10 5 11 3 0132 2103 0132 0132 1 1 1 1 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 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.778490119740 0.565266269087 10 6 10 11 1023 0132 1230 0321 1 1 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 0 0 0 0 0 0 0 -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 0.603801442905 0.777814642913 10 12 6 12 2103 0132 0132 1023 1 1 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 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 0 0 0 0 0 0 0.897268956507 0.666477870762 7 8 9 8 0132 1023 2103 3012 1 1 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 0 0 0 0 1 0 -1 0 0 0 0 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603801442905 0.777814642913 12 8 12 7 0132 0321 1023 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.897268956507 0.666477870762 11 9 11 9 0132 0132 1023 1023 1 1 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 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 0.664212380058 0.401442269542 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_10'], 'c_1001_11' : d['c_0101_12'], 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : d['c_0101_11'], 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : negation(d['c_0011_10']), 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_0110_9'], 'c_1001_8' : d['c_0110_9'], 'c_1010_12' : d['c_0110_9'], 'c_1010_11' : d['c_0011_5'], 'c_1010_10' : negation(d['c_0011_11']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_12'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : negation(d['c_1001_3']), 'c_1100_7' : d['c_0110_2'], 'c_1100_6' : d['c_0110_2'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : negation(d['c_1001_3']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0110_2'], 'c_1100_10' : negation(d['c_0110_9']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : d['c_0110_9'], 'c_1010_5' : negation(d['c_1001_3']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0011_10']), 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_0011_5'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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_0110_2']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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_11'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_12'], 'c_0110_10' : d['c_0101_12'], 'c_0110_12' : d['c_0101_11'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_12'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0011_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0110_2'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0110_2']), 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10'], 's_2_9' : d['1']})} 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_10, c_0011_11, c_0011_5, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_2, c_0101_4, c_0110_2, c_0110_9, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 679853584843979/169514120450*c_0110_9^7 + 232616806350957/84757060225*c_0110_9^6 - 1285212465979133/339028240900*c_0110_9^5 - 339927644758349/169514120450*c_0110_9^4 + 127908092763219/169514120450*c_0110_9^3 - 381585008464087/339028240900*c_0110_9^2 - 34314699612581/169514120450*c_0110_9 + 52259725309711/339028240900, c_0011_0 - 1, c_0011_10 + 275749074/11731081*c_0110_9^7 - 220130878/11731081*c_0110_9^6 + 329377424/11731081*c_0110_9^5 + 80928164/11731081*c_0110_9^4 - 33241662/11731081*c_0110_9^3 + 102413532/11731081*c_0110_9^2 + 6763594/11731081*c_0110_9 - 12011873/11731081, c_0011_11 + 106234273/11731081*c_0110_9^7 - 167746874/11731081*c_0110_9^6 + 197093438/11731081*c_0110_9^5 - 57419027/11731081*c_0110_9^4 - 33073336/11731081*c_0110_9^3 + 37955466/11731081*c_0110_9^2 - 9155535/11731081*c_0110_9 - 7740969/11731081, c_0011_5 + 239262938/11731081*c_0110_9^7 - 131249278/11731081*c_0110_9^6 + 166160876/11731081*c_0110_9^5 + 168484351/11731081*c_0110_9^4 - 72751901/11731081*c_0110_9^3 + 55275570/11731081*c_0110_9^2 + 14136289/11731081*c_0110_9 - 6631564/11731081, c_0101_0 - 1, c_0101_10 + 239262938/11731081*c_0110_9^7 - 131249278/11731081*c_0110_9^6 + 166160876/11731081*c_0110_9^5 + 168484351/11731081*c_0110_9^4 - 72751901/11731081*c_0110_9^3 + 55275570/11731081*c_0110_9^2 + 14136289/11731081*c_0110_9 - 6631564/11731081, c_0101_11 - 160171989/11731081*c_0110_9^7 + 150384309/11731081*c_0110_9^6 - 179788302/11731081*c_0110_9^5 - 60910014/11731081*c_0110_9^4 + 31797752/11731081*c_0110_9^3 - 41048371/11731081*c_0110_9^2 - 21948622/11731081*c_0110_9 + 4340768/11731081, c_0101_12 - c_0110_9, c_0101_2 - 1, c_0101_4 + 275749074/11731081*c_0110_9^7 - 220130878/11731081*c_0110_9^6 + 329377424/11731081*c_0110_9^5 + 80928164/11731081*c_0110_9^4 - 33241662/11731081*c_0110_9^3 + 102413532/11731081*c_0110_9^2 + 6763594/11731081*c_0110_9 - 23742954/11731081, c_0110_2 + 275749074/11731081*c_0110_9^7 - 220130878/11731081*c_0110_9^6 + 329377424/11731081*c_0110_9^5 + 80928164/11731081*c_0110_9^4 - 33241662/11731081*c_0110_9^3 + 102413532/11731081*c_0110_9^2 + 6763594/11731081*c_0110_9 - 12011873/11731081, c_0110_9^8 - 106/83*c_0110_9^7 + 131/83*c_0110_9^6 - 30/83*c_0110_9^5 - 6/83*c_0110_9^4 + 20/83*c_0110_9^3 - 5/83*c_0110_9^2 - 3/83*c_0110_9 + 1/83, c_1001_3 - 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_5, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_2, c_0101_4, c_0110_2, c_0110_9, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 241001034399437/1610676199296*c_0110_9^9 - 66979141962163/536892066432*c_0110_9^8 + 2379942876687109/1610676199296*c_0110_9^7 - 821712482586895/536892066432*c_0110_9^6 - 285838143206887/50333631228*c_0110_9^5 - 3172788351775603/805338099648*c_0110_9^4 + 2804432214242191/1610676199296*c_0110_9^3 + 1194694354038379/805338099648*c_0110_9^2 - 13423386902741/67111508304*c_0110_9 + 378570164853035/1610676199296, c_0011_0 - 1, c_0011_10 - 7702218611/2796312846*c_0110_9^9 + 5195114137/932104282*c_0110_9^8 + 10305453883/2796312846*c_0110_9^7 - 19150301591/932104282*c_0110_9^6 - 57171730234/1398156423*c_0110_9^5 - 27225591715/1398156423*c_0110_9^4 + 8687889205/2796312846*c_0110_9^3 + 6680997034/1398156423*c_0110_9^2 + 479090915/466052141*c_0110_9 + 1441479569/2796312846, c_0011_11 + 21643260949/11185251384*c_0110_9^9 - 15350806857/3728417128*c_0110_9^8 - 18457415453/11185251384*c_0110_9^7 + 50400796195/3728417128*c_0110_9^6 + 37365843245/1398156423*c_0110_9^5 + 82735996571/5592625692*c_0110_9^4 + 38545043113/11185251384*c_0110_9^3 - 9504306473/5592625692*c_0110_9^2 - 1106948907/932104282*c_0110_9 - 5656013119/11185251384, c_0011_5 - 724543179/932104282*c_0110_9^9 - 753432431/932104282*c_0110_9^8 + 6674173815/932104282*c_0110_9^7 - 5495169911/932104282*c_0110_9^6 - 13897034516/466052141*c_0110_9^5 - 13863824626/466052141*c_0110_9^4 - 2183897529/932104282*c_0110_9^3 + 1630585863/466052141*c_0110_9^2 - 14709639/466052141*c_0110_9 + 501408325/932104282, c_0101_0 - 1, c_0101_10 - 724543179/932104282*c_0110_9^9 - 753432431/932104282*c_0110_9^8 + 6674173815/932104282*c_0110_9^7 - 5495169911/932104282*c_0110_9^6 - 13897034516/466052141*c_0110_9^5 - 13863824626/466052141*c_0110_9^4 - 2183897529/932104282*c_0110_9^3 + 1630585863/466052141*c_0110_9^2 - 14709639/466052141*c_0110_9 + 501408325/932104282, c_0101_11 + 8731645451/5592625692*c_0110_9^9 - 5131586791/1864208564*c_0110_9^8 - 19005259879/5592625692*c_0110_9^7 + 24019984673/1864208564*c_0110_9^6 + 34031544656/1398156423*c_0110_9^5 + 41556126613/2796312846*c_0110_9^4 - 3823686409/5592625692*c_0110_9^3 - 4600859569/2796312846*c_0110_9^2 - 885933161/466052141*c_0110_9 - 1541017817/5592625692, c_0101_12 - c_0110_9, c_0101_2 + 1, c_0101_4 - 7702218611/2796312846*c_0110_9^9 + 5195114137/932104282*c_0110_9^8 + 10305453883/2796312846*c_0110_9^7 - 19150301591/932104282*c_0110_9^6 - 57171730234/1398156423*c_0110_9^5 - 27225591715/1398156423*c_0110_9^4 + 8687889205/2796312846*c_0110_9^3 + 6680997034/1398156423*c_0110_9^2 + 479090915/466052141*c_0110_9 + 4237792415/2796312846, c_0110_2 - 7702218611/2796312846*c_0110_9^9 + 5195114137/932104282*c_0110_9^8 + 10305453883/2796312846*c_0110_9^7 - 19150301591/932104282*c_0110_9^6 - 57171730234/1398156423*c_0110_9^5 - 27225591715/1398156423*c_0110_9^4 + 8687889205/2796312846*c_0110_9^3 + 6680997034/1398156423*c_0110_9^2 + 479090915/466052141*c_0110_9 + 1441479569/2796312846, c_0110_9^10 - 44/17*c_0110_9^9 + 2/17*c_0110_9^8 + 130/17*c_0110_9^7 + 167/17*c_0110_9^6 + 30/17*c_0110_9^5 - 9/17*c_0110_9^4 + 5/17*c_0110_9^3 - 10/17*c_0110_9^2 + 1/17*c_0110_9 - 1/17, c_1001_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.410 Total time: 0.620 seconds, Total memory usage: 32.09MB