Magma V2.19-8 Wed Aug 21 2013 01:00:32 on localhost [Seed = 1107581271] Type ? for help. Type -D to quit. Loading file "L13n9549__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n9549 geometric_solution 12.75754410 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 2 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 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 0 0 0 0.633703111573 0.692452890009 0 5 7 6 0132 0132 0132 0132 2 2 1 1 0 0 0 0 0 0 -1 1 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 1 0 -1 0 0 3 -3 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.444281232533 0.568552843000 3 0 6 4 0132 0132 2103 2031 2 2 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 -1 1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.945754227673 0.969819377011 2 8 6 0 0132 0132 0213 0132 2 2 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 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 0.633703111573 0.692452890009 8 2 0 6 2103 1302 0132 2103 2 2 2 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 0 0 0 0 -1 1 0 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.433746849755 0.704690226597 9 1 10 10 0132 0132 0132 3120 2 0 1 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 -1 0 1 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 0.679580275451 1.071197378021 2 3 1 4 2103 0213 0132 2103 2 2 2 1 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 -1 1 0 1 0 3 -4 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.366538282450 1.029158555348 11 12 12 1 0132 0132 1230 0132 2 2 1 2 0 0 0 0 -1 0 0 1 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 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.679580275451 1.071197378021 9 3 4 12 1023 0132 2103 1230 2 2 1 1 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 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.444281232533 0.568552843000 5 8 11 11 0132 1023 1023 2031 2 0 1 1 0 -1 1 0 0 0 -1 1 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 4 -4 0 1 0 -2 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 0.679580275451 1.071197378021 5 12 11 5 3120 1230 2031 0132 2 0 1 2 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 1 -1 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.256308585798 0.856866990502 7 9 9 10 0132 1302 1023 1302 0 2 2 1 0 -1 1 0 1 0 -1 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 2 -1 -3 0 4 -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 0.256308585798 0.856866990502 8 7 10 7 3012 0132 3012 3012 2 2 2 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 0.256308585798 0.856866990502 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_5'], 'c_1001_10' : negation(d['c_0101_7']), 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_0101_12'], 'c_1001_4' : d['c_0011_6'], 'c_1001_7' : negation(d['c_0101_7']), 'c_1001_6' : d['c_0101_12'], 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_0101_12'], 'c_1001_2' : d['c_0011_6'], 'c_1001_9' : d['c_0101_1'], 'c_1001_8' : d['c_0011_4'], 'c_1010_12' : negation(d['c_0101_7']), 'c_1010_11' : d['c_0101_10'], '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' : negation(d['1']), 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(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' : negation(d['c_0101_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : negation(d['c_0110_6']), 'c_1100_7' : d['c_0110_12'], 'c_1100_6' : d['c_0110_12'], 'c_1100_1' : d['c_0110_12'], 'c_1100_0' : negation(d['c_0110_6']), 'c_1100_3' : negation(d['c_0110_6']), 'c_1100_2' : negation(d['c_0110_6']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : negation(d['c_0101_10']), 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0110_6']), 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_0110_6'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0101_12'], 'c_1010_0' : d['c_0011_6'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : d['c_0101_12'], 'c_1100_8' : d['c_0110_12'], '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_7'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_7'], 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_5'], 'c_0101_8' : d['c_0101_1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0101_5'], 'c_0110_4' : negation(d['c_0110_12']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} 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_4, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_5, c_0101_7, c_0110_12, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 1162579374749/8822517988*c_0110_6^9 + 5081999814204/2205629497*c_0110_6^8 + 309037376925/20235133*c_0110_6^7 + 377655616852037/8822517988*c_0110_6^6 + 56328750457823/2205629497*c_0110_6^5 - 201123313269556/2205629497*c_0110_6^4 - 334782934873459/4411258994*c_0110_6^3 + 274336332267819/2205629497*c_0110_6^2 - 38066272642254/2205629497*c_0110_6 - 44025848809925/4411258994, c_0011_0 - 1, c_0011_10 + 421921/24439108*c_0110_6^9 + 5781539/24439108*c_0110_6^8 + 119115/112106*c_0110_6^7 + 6329106/6109777*c_0110_6^6 - 30389495/12219554*c_0110_6^5 + 662812/6109777*c_0110_6^4 + 77922307/6109777*c_0110_6^3 - 58533632/6109777*c_0110_6^2 + 19210374/6109777*c_0110_6 - 3351030/6109777, c_0011_11 + 421921/24439108*c_0110_6^9 + 5781539/24439108*c_0110_6^8 + 119115/112106*c_0110_6^7 + 6329106/6109777*c_0110_6^6 - 30389495/12219554*c_0110_6^5 + 662812/6109777*c_0110_6^4 + 77922307/6109777*c_0110_6^3 - 58533632/6109777*c_0110_6^2 + 19210374/6109777*c_0110_6 - 3351030/6109777, c_0011_4 - 1, c_0011_6 - 1651224/6109777*c_0110_6^9 - 47724559/12219554*c_0110_6^8 - 2166157/112106*c_0110_6^7 - 329792339/12219554*c_0110_6^6 + 246382498/6109777*c_0110_6^5 + 977934019/12219554*c_0110_6^4 - 665284597/6109777*c_0110_6^3 + 189344592/6109777*c_0110_6^2 + 11215231/6109777*c_0110_6 - 7306374/6109777, c_0101_0 - 1, c_0101_1 - 1651224/6109777*c_0110_6^9 - 47724559/12219554*c_0110_6^8 - 2166157/112106*c_0110_6^7 - 329792339/12219554*c_0110_6^6 + 246382498/6109777*c_0110_6^5 + 977934019/12219554*c_0110_6^4 - 665284597/6109777*c_0110_6^3 + 189344592/6109777*c_0110_6^2 + 5105454/6109777*c_0110_6 - 7306374/6109777, c_0101_10 + 6182975/24439108*c_0110_6^9 + 89667579/24439108*c_0110_6^8 + 1023521/56053*c_0110_6^7 + 317134127/12219554*c_0110_6^6 - 462375501/12219554*c_0110_6^5 - 979259643/12219554*c_0110_6^4 + 587362290/6109777*c_0110_6^3 - 130810960/6109777*c_0110_6^2 - 24315828/6109777*c_0110_6 + 10657404/6109777, c_0101_12 - 1651224/6109777*c_0110_6^9 - 47724559/12219554*c_0110_6^8 - 2166157/112106*c_0110_6^7 - 329792339/12219554*c_0110_6^6 + 246382498/6109777*c_0110_6^5 + 977934019/12219554*c_0110_6^4 - 665284597/6109777*c_0110_6^3 + 189344592/6109777*c_0110_6^2 + 5105454/6109777*c_0110_6 - 7306374/6109777, c_0101_5 - 1, c_0101_7 - 14021419/24439108*c_0110_6^9 - 206139389/24439108*c_0110_6^8 - 2422006/56053*c_0110_6^7 - 423408518/6109777*c_0110_6^6 + 377265277/6109777*c_0110_6^5 + 1054244501/6109777*c_0110_6^4 - 1132044980/6109777*c_0110_6^3 + 289339296/6109777*c_0110_6^2 + 33008461/6109777*c_0110_6 - 21270493/6109777, c_0110_12 + 6383069/24439108*c_0110_6^9 + 91589511/24439108*c_0110_6^8 + 2049865/112106*c_0110_6^7 + 147634126/6109777*c_0110_6^6 - 506760829/12219554*c_0110_6^5 - 438880122/6109777*c_0110_6^4 + 716387107/6109777*c_0110_6^3 - 233371821/6109777*c_0110_6^2 - 11916031/6109777*c_0110_6 + 15968539/6109777, c_0110_6^10 + 14*c_0110_6^9 + 65*c_0110_6^8 + 68*c_0110_6^7 - 192*c_0110_6^6 - 224*c_0110_6^5 + 536*c_0110_6^4 - 308*c_0110_6^3 + 48*c_0110_6^2 + 12*c_0110_6 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB