Magma V2.19-8 Wed Aug 21 2013 01:04:16 on localhost [Seed = 408813650] Type ? for help. Type -D to quit. Loading file "L14n24027__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24027 geometric_solution 12.23532914 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 0 1 -1 -2 0 2 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 0.622995377673 0.550893742915 0 5 6 4 0132 0132 0132 0213 1 0 0 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 0 0 0 2 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 0.626435508396 0.624997820376 7 0 5 8 0132 0132 0132 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 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 0.690188255959 1.550557595698 9 9 10 0 0132 0321 0132 0132 1 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 1 0 -1 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.658122423144 0.506656734048 9 11 0 1 2310 0132 0132 0213 1 0 0 1 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 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.099206288221 0.796541414688 6 1 12 2 2031 0132 0132 0132 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 0.205448167889 0.985585912368 7 11 5 1 1302 0321 1302 0132 1 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 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 0.205448167889 0.985585912368 2 6 8 12 0132 2031 0132 0132 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 -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 0.205448167889 0.985585912368 10 9 2 7 0321 0132 0132 0132 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 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 0.045959037561 0.734470155065 3 8 4 3 0132 0132 3201 0321 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 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 0.915135621497 1.356215372363 8 11 12 3 0321 2031 0213 0132 1 0 0 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 0 0 0 1 0 1 -2 0 0 0 0 1 -4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.658122423144 0.506656734048 10 4 12 6 1302 0132 1302 0321 1 1 1 0 0 0 0 0 1 0 -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 1 -1 0 4 0 -4 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 0.123914181054 0.620170404585 11 10 7 5 2031 0213 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 -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 0 0 0 1 0 -1 0 1 -1 0 0 4 -3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.495760714282 0.614956452373 ==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' : d['c_0011_6'], 'c_1001_12' : d['c_0011_6'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0101_1']), 'c_1001_6' : d['c_0101_12'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : negation(d['c_0101_1']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_5'], 'c_1010_11' : d['c_1001_1'], 'c_1010_10' : d['c_0011_11'], 's_3_11' : d['1'], 's_3_10' : 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' : negation(d['c_0011_10']), 'c_0101_10' : d['c_0011_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' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : d['c_1100_12'], 'c_1100_4' : d['c_1001_5'], 'c_1100_7' : d['c_1100_12'], 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_1001_5'], 'c_1100_3' : d['c_1001_5'], 'c_1100_2' : d['c_1100_12'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_12'], 'c_1100_10' : d['c_1001_5'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_6'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_0'], 'c_1010_8' : negation(d['c_0101_1']), 'c_1100_8' : d['c_1100_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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_12'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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_3'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], '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_6']), 'c_0110_10' : negation(d['c_0011_3']), 'c_0110_12' : d['c_0101_5'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_10']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_3']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : d['c_0101_1'], '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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_12, c_0101_5, c_1001_0, c_1001_1, c_1001_5, c_1100_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 41011491359/691813*c_1100_12^6 + 534974993163/691813*c_1100_12^5 + 2033376512741/691813*c_1100_12^4 + 910735768121/691813*c_1100_12^3 - 8243809835121/691813*c_1100_12^2 + 5169590191484/691813*c_1100_12 - 918030847528/691813, c_0011_0 - 1, c_0011_10 - 93719/691813*c_1100_12^6 - 1252525/691813*c_1100_12^5 - 5038409/691813*c_1100_12^4 - 3572626/691813*c_1100_12^3 + 18144493/691813*c_1100_12^2 - 5786280/691813*c_1100_12 + 112846/691813, c_0011_11 - 105675/691813*c_1100_12^6 - 1388566/691813*c_1100_12^5 - 5375132/691813*c_1100_12^4 - 2865847/691813*c_1100_12^3 + 21121029/691813*c_1100_12^2 - 10977496/691813*c_1100_12 + 1210939/691813, c_0011_3 + 14944/691813*c_1100_12^6 + 191565/691813*c_1100_12^5 + 684732/691813*c_1100_12^4 + 12077/691813*c_1100_12^3 - 3740326/691813*c_1100_12^2 + 1386436/691813*c_1100_12 + 316851/691813, c_0011_6 + c_1100_12, c_0101_0 - 1, c_0101_1 + 50552/691813*c_1100_12^6 + 658759/691813*c_1100_12^5 + 2492572/691813*c_1100_12^4 + 1053019/691813*c_1100_12^3 - 10170551/691813*c_1100_12^2 + 6808383/691813*c_1100_12 - 941759/691813, c_0101_12 - 89301/691813*c_1100_12^6 - 1175985/691813*c_1100_12^5 - 4580806/691813*c_1100_12^4 - 2599573/691813*c_1100_12^3 + 17816263/691813*c_1100_12^2 - 8064025/691813*c_1100_12 + 362899/691813, c_0101_5 + 1, c_1001_0 - 105675/691813*c_1100_12^6 - 1388566/691813*c_1100_12^5 - 5375132/691813*c_1100_12^4 - 2865847/691813*c_1100_12^3 + 21121029/691813*c_1100_12^2 - 10977496/691813*c_1100_12 + 1210939/691813, c_1001_1 + 34178/691813*c_1100_12^6 + 446178/691813*c_1100_12^5 + 1698246/691813*c_1100_12^4 + 786745/691813*c_1100_12^3 - 6865785/691813*c_1100_12^2 + 3894912/691813*c_1100_12 - 93719/691813, c_1001_5 - 50552/691813*c_1100_12^6 - 658759/691813*c_1100_12^5 - 2492572/691813*c_1100_12^4 - 1053019/691813*c_1100_12^3 + 10170551/691813*c_1100_12^2 - 6808383/691813*c_1100_12 + 941759/691813, c_1100_12^7 + 13*c_1100_12^6 + 49*c_1100_12^5 + 20*c_1100_12^4 - 202*c_1100_12^3 + 135*c_1100_12^2 - 28*c_1100_12 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.270 Total time: 0.490 seconds, Total memory usage: 32.09MB