Magma V2.19-8 Tue Aug 20 2013 17:59:04 on localhost [Seed = 1014859955] Type ? for help. Type -D to quit. Loading file "10_74__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 10_74 geometric_solution 12.00603700 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 1 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 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 0.484041075746 1.271423088181 0 0 5 4 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 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.738471026381 0.686954045738 6 0 6 7 0132 0132 3012 0132 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 -1 0 1 3 1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.008428786208 0.866986231658 8 7 5 0 0132 2103 3120 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 1 0 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 0.222831670850 0.627584818194 8 5 1 9 2103 1023 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 0.461666354078 0.511358714251 4 9 3 1 1023 0132 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.390394199982 1.180280438592 2 2 10 11 0132 1230 0132 0132 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 -1 1 -3 4 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.571550778820 0.499738847839 12 3 2 10 0132 2103 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 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 -0.011212426036 1.153311847808 3 10 4 12 0132 1023 2103 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.367369294106 1.008151609260 11 5 4 12 1302 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 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 0.829489204830 1.940258045614 8 7 11 6 1023 1302 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.008428786208 0.866986231658 12 9 6 10 2310 2031 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 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.143101557641 0.999477695678 7 9 11 8 0132 1302 3201 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.390924708865 0.978406993561 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : d['c_0101_12'], 'c_1001_12' : negation(d['c_0101_11']), 'c_1001_5' : d['c_0011_12'], 'c_1001_4' : d['c_0101_5'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : negation(d['c_0011_10']), 'c_1001_3' : negation(d['c_0011_12']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0101_1'], 'c_1001_8' : d['c_0011_4'], 'c_1010_12' : d['c_0101_3'], 'c_1010_11' : negation(d['c_0011_4']), 'c_1010_10' : d['c_1001_6'], '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_0011_4'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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' : 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_1100_9' : negation(d['c_0101_3']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : negation(d['c_0101_3']), 'c_1100_7' : negation(d['c_1001_6']), 'c_1100_6' : negation(d['c_0101_12']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : negation(d['c_1001_6']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_12']), 'c_1100_10' : negation(d['c_0101_12']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_0101_11'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0011_10']), 'c_1010_2' : negation(d['c_0011_10']), 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : d['c_0101_6'], '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_0011_11']), '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_4']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_12']), '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_12']), 'c_0110_10' : d['c_0101_6'], 'c_0110_12' : d['c_0101_6'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_11']), 'c_0110_8' : d['c_0101_3'], '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_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_11']), 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : d['c_0101_11'], '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_12, c_0011_4, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_3, c_0101_5, c_0101_6, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 43701/6919*c_0101_6*c_1001_6^2 + 138008/6919*c_0101_6*c_1001_6 + 107605/6919*c_0101_6 + 5837/6919*c_1001_6^2 - 19994/6919*c_1001_6 - 53069/6919, c_0011_0 - 1, c_0011_10 + c_1001_6^2 + 2*c_1001_6 + 1, c_0011_11 - c_1001_6^2 - c_1001_6, c_0011_12 + c_1001_6^2 + c_1001_6, c_0011_4 - c_0101_6*c_1001_6^2 - c_0101_6*c_1001_6 + c_0101_6 - c_1001_6, c_0101_0 - 2*c_0101_6*c_1001_6 - 2*c_0101_6 + 2*c_1001_6^2 + c_1001_6, c_0101_1 - c_0101_6*c_1001_6 + c_1001_6^2, c_0101_11 + c_0101_6*c_1001_6 - c_1001_6^2, c_0101_12 + c_0101_6 + c_1001_6^2 + 1, c_0101_3 + c_0101_6 + c_1001_6^2 + 1, c_0101_5 - 2*c_0101_6*c_1001_6 - c_0101_6 + 2*c_1001_6^2, c_0101_6^2 + c_0101_6*c_1001_6^2 + c_0101_6 + 2*c_1001_6^2 + c_1001_6 + 1, c_1001_6^3 + 2*c_1001_6^2 + c_1001_6 + 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_12, c_0011_4, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_3, c_0101_5, c_0101_6, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 5591337/114304*c_1001_6^7 + 17878235/228608*c_1001_6^6 + 1422981/57152*c_1001_6^5 + 2251471/28576*c_1001_6^4 + 16130341/114304*c_1001_6^3 + 3463839/57152*c_1001_6^2 + 10265655/228608*c_1001_6 + 10035847/228608, c_0011_0 - 1, c_0011_10 + 2*c_1001_6^7 + c_1001_6^6 + c_1001_6^5 + 4*c_1001_6^4 + 2*c_1001_6^3 + 2*c_1001_6^2 + 3*c_1001_6, c_0011_11 + 2*c_1001_6^6 + c_1001_6^5 + c_1001_6^4 + 4*c_1001_6^3 + 2*c_1001_6^2 + 2*c_1001_6 + 2, c_0011_12 - 2*c_1001_6^7 - c_1001_6^6 + c_1001_6^5 - 3*c_1001_6^4 - c_1001_6^3 + 2*c_1001_6^2 - c_1001_6 + 2, c_0011_4 - 4*c_1001_6^7 + 2*c_1001_6^6 + 4*c_1001_6^5 - 6*c_1001_6^4 + 3*c_1001_6^3 + 6*c_1001_6^2 - 2*c_1001_6 + 5, c_0101_0 - 10*c_1001_6^7 - 7*c_1001_6^6 - 16*c_1001_6^4 - 12*c_1001_6^3 - 2*c_1001_6^2 - 8*c_1001_6 + 1, c_0101_1 + 2*c_1001_6^7 + 3*c_1001_6^6 + 2*c_1001_6^5 + 3*c_1001_6^4 + 5*c_1001_6^3 + 3*c_1001_6^2 + 2*c_1001_6 + 1, c_0101_11 + 2*c_1001_6^7 + 3*c_1001_6^6 + 2*c_1001_6^5 + 3*c_1001_6^4 + 5*c_1001_6^3 + 3*c_1001_6^2 + 2*c_1001_6 + 2, c_0101_12 - 2*c_1001_6^7 + c_1001_6^6 + 2*c_1001_6^5 - 2*c_1001_6^4 + c_1001_6^3 + 3*c_1001_6^2 - c_1001_6 + 2, c_0101_3 + 4*c_1001_6^7 - c_1001_6^5 + 6*c_1001_6^4 + c_1001_6^3 - c_1001_6^2 + 2*c_1001_6 - 2, c_0101_5 - 8*c_1001_6^7 - 8*c_1001_6^6 - 2*c_1001_6^5 - 14*c_1001_6^4 - 13*c_1001_6^3 - 5*c_1001_6^2 - 8*c_1001_6 - 1, c_0101_6 + 4*c_1001_6^7 - c_1001_6^5 + 6*c_1001_6^4 + c_1001_6^3 - c_1001_6^2 + 2*c_1001_6 - 2, c_1001_6^8 + 1/2*c_1001_6^7 + 1/2*c_1001_6^6 + 2*c_1001_6^5 + c_1001_6^4 + c_1001_6^3 + 3/2*c_1001_6^2 + 1/2 ], 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_12, c_0011_4, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_3, c_0101_5, c_0101_6, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 19891627/3852305024*c_1001_6^9 + 24268751/3852305024*c_1001_6^8 + 100652995/1926152512*c_1001_6^7 + 85597801/1926152512*c_1001_6^6 + 439348165/1926152512*c_1001_6^5 + 116093369/481538128*c_1001_6^4 + 305335031/481538128*c_1001_6^3 + 101194629/120384532*c_1001_6^2 - 15874087/30096133*c_1001_6 - 43922573/60192266, c_0011_0 - 1, c_0011_10 + 3469/2739904*c_1001_6^9 - 945/2739904*c_1001_6^8 + 14687/684976*c_1001_6^7 - 7939/1369952*c_1001_6^6 + 195281/1369952*c_1001_6^5 - 31719/684976*c_1001_6^4 + 170933/342488*c_1001_6^3 - 2123/42811*c_1001_6^2 + 15288/42811*c_1001_6 + 12882/42811, c_0011_11 + 6441/1369952*c_1001_6^9 + 743/342488*c_1001_6^8 + 65355/1369952*c_1001_6^7 - 10051/684976*c_1001_6^6 + 78041/342488*c_1001_6^5 - 66461/684976*c_1001_6^4 + 250713/342488*c_1001_6^3 - 54995/171244*c_1001_6^2 - 8636/42811*c_1001_6 - 17694/42811, c_0011_12 + 14293/1369952*c_1001_6^9 - 199/342488*c_1001_6^8 + 149015/1369952*c_1001_6^7 - 31649/684976*c_1001_6^6 + 101647/171244*c_1001_6^5 - 92713/684976*c_1001_6^4 + 664383/342488*c_1001_6^3 - 8288/42811*c_1001_6^2 + 35337/85622*c_1001_6 + 55271/42811, c_0011_4 - 14293/1369952*c_1001_6^9 + 199/342488*c_1001_6^8 - 149015/1369952*c_1001_6^7 + 31649/684976*c_1001_6^6 - 101647/171244*c_1001_6^5 + 92713/684976*c_1001_6^4 - 664383/342488*c_1001_6^3 + 8288/42811*c_1001_6^2 - 35337/85622*c_1001_6 - 55271/42811, c_0101_0 + 42643/1369952*c_1001_6^9 - 4605/684976*c_1001_6^8 + 429177/1369952*c_1001_6^7 - 16637/85622*c_1001_6^6 + 550679/342488*c_1001_6^5 - 408291/684976*c_1001_6^4 + 204803/42811*c_1001_6^3 - 129511/171244*c_1001_6^2 - 73034/42811*c_1001_6 + 212363/42811, c_0101_1 - 33507/684976*c_1001_6^9 - 1231/1369952*c_1001_6^8 - 658417/1369952*c_1001_6^7 + 135261/684976*c_1001_6^6 - 1614171/684976*c_1001_6^5 + 351045/684976*c_1001_6^4 - 1142213/171244*c_1001_6^3 + 15580/42811*c_1001_6^2 + 195852/42811*c_1001_6 - 234585/42811, c_0101_11 - 1, c_0101_12 - 3469/2739904*c_1001_6^9 + 945/2739904*c_1001_6^8 - 14687/684976*c_1001_6^7 + 7939/1369952*c_1001_6^6 - 195281/1369952*c_1001_6^5 + 31719/684976*c_1001_6^4 - 170933/342488*c_1001_6^3 + 2123/42811*c_1001_6^2 - 15288/42811*c_1001_6 - 12882/42811, c_0101_3 + 59685/2739904*c_1001_6^9 - 25959/2739904*c_1001_6^8 + 296293/1369952*c_1001_6^7 - 247711/1369952*c_1001_6^6 + 1530647/1369952*c_1001_6^5 - 242193/342488*c_1001_6^4 + 555873/171244*c_1001_6^3 - 60493/42811*c_1001_6^2 - 48108/42811*c_1001_6 + 155305/42811, c_0101_5 + 93891/1369952*c_1001_6^9 - 49/85622*c_1001_6^8 + 939525/1369952*c_1001_6^7 - 192735/684976*c_1001_6^6 + 147438/42811*c_1001_6^5 - 464567/684976*c_1001_6^4 + 3477957/342488*c_1001_6^3 + 3454/42811*c_1001_6^2 - 163953/42811*c_1001_6 + 410479/42811, c_0101_6 - 3469/2739904*c_1001_6^9 + 945/2739904*c_1001_6^8 - 14687/684976*c_1001_6^7 + 7939/1369952*c_1001_6^6 - 195281/1369952*c_1001_6^5 + 31719/684976*c_1001_6^4 - 170933/342488*c_1001_6^3 + 2123/42811*c_1001_6^2 - 58099/42811*c_1001_6 - 12882/42811, c_1001_6^10 + c_1001_6^9 + 10*c_1001_6^8 + 6*c_1001_6^7 + 46*c_1001_6^6 + 40*c_1001_6^5 + 136*c_1001_6^4 + 144*c_1001_6^3 - 64*c_1001_6^2 + 64*c_1001_6 + 128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.330 Total time: 2.540 seconds, Total memory usage: 32.09MB