Magma V2.19-8 Wed Aug 21 2013 01:04:32 on localhost [Seed = 391188332] Type ? for help. Type -D to quit. Loading file "L14n24309__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24309 geometric_solution 12.00806325 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 1 -1 -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 -1 0 1 0 0 -6 6 0 1 0 -1 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.767446452829 0.797846591719 0 5 7 6 0132 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 1 -1 -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 1 -1 0 0 0 -5 5 6 0 0 -6 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.466968454138 0.814048411065 6 0 8 3 3012 0132 0132 3012 1 1 1 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 0 -6 0 6 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.336721640737 1.155227330170 9 9 2 0 0132 2310 1230 0132 1 1 1 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 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.137428185550 0.765257084024 10 5 0 7 0132 1302 0132 0132 1 1 1 0 0 0 0 0 -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 0 -1 1 6 0 -6 0 0 5 0 -5 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000963014977 0.966779913383 11 1 12 4 0132 0132 0132 2031 1 1 0 1 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 -1 6 -5 0 0 0 0 0 -1 0 1 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.199587842743 0.827706234048 11 10 1 2 1230 3120 0132 1230 1 1 0 1 0 0 0 0 -1 0 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 5 0 -5 0 0 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.450603448222 0.687580445876 10 8 4 1 3120 1023 0132 0132 1 1 0 1 0 0 0 0 1 0 0 -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 -1 1 -5 0 0 5 0 -1 0 1 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.162862024419 0.529929335203 7 11 12 2 1023 1230 3120 0132 1 1 0 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 0 0 0 1 0 0 -1 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.399460833308 2.303647341196 3 12 11 3 0132 3012 1230 3201 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 0.346886328787 1.382851846905 4 6 12 7 0132 3120 2310 3120 1 1 0 1 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 0 0 0 0 0 -5 5 -6 0 1 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.710640030517 0.568982558653 5 6 8 9 0132 3012 3012 3012 1 1 1 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 0 0 0 0 0 6 -6 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746855881693 0.460733149841 9 10 8 5 1230 3201 3120 0132 1 1 1 1 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 0 6 -6 0 0 0 0 0 5 0 -5 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.099674685252 1.038548891242 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_6']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0011_12'], 'c_1001_5' : negation(d['c_1001_10']), 'c_1001_4' : d['c_0101_11'], 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : negation(d['c_1001_10']), 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : d['c_0101_12'], 'c_1001_2' : d['c_0101_11'], 'c_1001_9' : negation(d['c_0011_12']), 'c_1001_8' : negation(d['c_0011_12']), 'c_1010_12' : negation(d['c_1001_10']), 'c_1010_11' : negation(d['c_0101_0']), 'c_1010_10' : negation(d['c_0011_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'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_12']), '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' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : d['c_0110_2'], 'c_1100_7' : d['c_0110_2'], 'c_1100_6' : d['c_0110_2'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : negation(d['c_0101_12']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : d['c_0011_12'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_0101_8'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_1001_10']), 'c_1010_0' : d['c_0101_11'], 'c_1010_9' : negation(d['c_0101_12']), 'c_1010_8' : d['c_0101_11'], 'c_1100_8' : negation(d['c_0101_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' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_8']), '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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_6'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_6'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_3']), 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : negation(d['c_0011_3']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_12']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], '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_0101_3'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : negation(d['c_0011_12']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_0'])})} 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_12, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_3, c_0101_8, c_0110_2, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 14582609918/478883*c_1001_10^9 + 107353987305/478883*c_1001_10^8 + 91822359765/478883*c_1001_10^7 - 671584395769/478883*c_1001_10^6 - 1263325791687/478883*c_1001_10^5 - 1202739431234/478883*c_1001_10^4 - 903717619978/478883*c_1001_10^3 - 410228554985/478883*c_1001_10^2 - 99674190121/478883*c_1001_10 - 22860282206/478883, c_0011_0 - 1, c_0011_10 + 2588/443*c_1001_10^9 + 18451/443*c_1001_10^8 + 12246/443*c_1001_10^7 - 120439/443*c_1001_10^6 - 195705/443*c_1001_10^5 - 178788/443*c_1001_10^4 - 131990/443*c_1001_10^3 - 56766/443*c_1001_10^2 - 14219/443*c_1001_10 - 3160/443, c_0011_12 + 3606/443*c_1001_10^9 + 26211/443*c_1001_10^8 + 20442/443*c_1001_10^7 - 166821/443*c_1001_10^6 - 296621/443*c_1001_10^5 - 277886/443*c_1001_10^4 - 206801/443*c_1001_10^3 - 90431/443*c_1001_10^2 - 21998/443*c_1001_10 - 4922/443, c_0011_3 + 3695/443*c_1001_10^9 + 26503/443*c_1001_10^8 + 18719/443*c_1001_10^7 - 170621/443*c_1001_10^6 - 287111/443*c_1001_10^5 - 272285/443*c_1001_10^4 - 202199/443*c_1001_10^3 - 87036/443*c_1001_10^2 - 22380/443*c_1001_10 - 4828/443, c_0011_6 + 3175/443*c_1001_10^9 + 23010/443*c_1001_10^8 + 17482/443*c_1001_10^7 - 147478/443*c_1001_10^6 - 258515/443*c_1001_10^5 - 237883/443*c_1001_10^4 - 171517/443*c_1001_10^3 - 73637/443*c_1001_10^2 - 17953/443*c_1001_10 - 4317/443, c_0101_0 - 1, c_0101_1 - 2079/443*c_1001_10^9 - 15014/443*c_1001_10^8 - 11249/443*c_1001_10^7 + 95476/443*c_1001_10^6 + 165625/443*c_1001_10^5 + 160692/443*c_1001_10^4 + 125816/443*c_1001_10^3 + 56546/443*c_1001_10^2 + 14538/443*c_1001_10 + 3608/443, c_0101_11 - 2077/443*c_1001_10^9 - 14883/443*c_1001_10^8 - 10561/443*c_1001_10^7 + 95082/443*c_1001_10^6 + 160901/443*c_1001_10^5 + 159016/443*c_1001_10^4 + 117373/443*c_1001_10^3 + 49599/443*c_1001_10^2 + 13514/443*c_1001_10 + 2749/443, c_0101_12 - 9292/443*c_1001_10^9 - 67280/443*c_1001_10^8 - 51148/443*c_1001_10^7 + 428872/443*c_1001_10^6 + 751926/443*c_1001_10^5 + 712872/443*c_1001_10^4 + 530128/443*c_1001_10^3 + 231800/443*c_1001_10^2 + 58160/443*c_1001_10 + 12331/443, c_0101_3 - 970/443*c_1001_10^9 - 6831/443*c_1001_10^8 - 4088/443*c_1001_10^7 + 44900/443*c_1001_10^6 + 69495/443*c_1001_10^5 + 65519/443*c_1001_10^4 + 47164/443*c_1001_10^3 + 19329/443*c_1001_10^2 + 5353/443*c_1001_10 + 1081/443, c_0101_8 - 9348/443*c_1001_10^9 - 67404/443*c_1001_10^8 - 49591/443*c_1001_10^7 + 431930/443*c_1001_10^6 + 743324/443*c_1001_10^5 + 701767/443*c_1001_10^4 + 520667/443*c_1001_10^3 + 224751/443*c_1001_10^2 + 56265/443*c_1001_10 + 12018/443, c_0110_2 - 970/443*c_1001_10^9 - 6831/443*c_1001_10^8 - 4088/443*c_1001_10^7 + 44900/443*c_1001_10^6 + 69495/443*c_1001_10^5 + 65519/443*c_1001_10^4 + 47164/443*c_1001_10^3 + 19329/443*c_1001_10^2 + 5353/443*c_1001_10 + 1081/443, c_1001_10^10 + 8*c_1001_10^9 + 11*c_1001_10^8 - 42*c_1001_10^7 - 116*c_1001_10^6 - 138*c_1001_10^5 - 115*c_1001_10^4 - 68*c_1001_10^3 - 25*c_1001_10^2 - 6*c_1001_10 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.210 Total time: 0.420 seconds, Total memory usage: 32.09MB