Magma V2.19-8 Wed Aug 21 2013 00:28:10 on localhost [Seed = 3170545489] Type ? for help. Type -D to quit. Loading file "K14n15848__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n15848 geometric_solution 11.42632861 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 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 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.226172166876 0.951182677487 0 5 6 2 0132 0132 0132 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 -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 0.246631001994 0.948192782592 5 0 4 1 0132 0132 1230 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 -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 0.192883358497 0.973117279595 7 7 4 0 0132 1230 3012 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.556738770191 0.839596424687 8 3 0 2 0132 1230 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 0 -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 0.547152048842 1.150387648056 2 1 9 10 0132 0132 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 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.226255713784 1.027709235774 9 7 8 1 1230 2103 3120 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 1 -1 0 0 0 0 0 0 0 0 -6 -1 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.917441367127 0.926398852779 3 6 3 10 0132 2103 3012 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.451424156081 0.827286228093 4 11 6 9 0132 0132 3120 1230 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 7 -7 0 -1 0 0 1 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.492161478721 1.127097818972 8 6 11 5 3012 3012 0132 0132 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 -7 1 0 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.064645738513 1.705590600254 7 12 5 12 3201 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.797880525300 1.060034199188 12 8 12 9 0132 0132 1023 0132 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 -7 0 7 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 0.350126913532 0.491398638407 11 10 11 10 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.521051118900 0.277632572276 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_9'], 'c_1001_11' : d['c_0101_12'], 'c_1001_10' : d['c_0110_10'], 'c_1001_12' : d['c_0101_11'], 'c_1001_5' : d['c_0101_5'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0110_10'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_3'], 'c_1001_8' : d['c_0011_3'], 'c_1010_12' : d['c_0110_10'], 'c_1010_11' : d['c_0011_3'], 'c_1010_10' : d['c_0101_11'], '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' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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' : 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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_1100_8' : d['c_0101_5'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_1100_10'], 'c_1100_4' : negation(d['c_1001_2']), 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : negation(d['c_1001_2']), 'c_1100_3' : negation(d['c_1001_2']), 'c_1100_2' : d['c_0101_8'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_10'], 'c_1100_10' : d['c_1100_10'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0110_10']), 'c_1010_6' : d['c_0110_10'], 'c_1010_5' : d['c_0110_10'], 'c_1010_4' : negation(d['c_0101_10']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_5'], 'c_1010_8' : 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' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1100_10']), 's_1_7' : 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' : 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_9'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0101_12'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0011_9'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_9'], 'c_0101_3' : negation(d['c_0101_10']), 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0011_9'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_12'], '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_5'], 'c_0110_8' : d['c_0011_9'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : negation(d['c_0101_10']), 'c_0011_10' : d['c_0011_10']})} 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_3, c_0011_9, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_5, c_0101_8, c_0110_10, c_1001_2, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 44/7*c_1100_10^2 - 59/7*c_1100_10 - 34/7, c_0011_0 - 1, c_0011_10 + c_1100_10^2 + c_1100_10 - 2, c_0011_3 - c_1100_10, c_0011_9 - 1, c_0101_0 - c_1100_10^2 + 1, c_0101_10 + c_1100_10 - 1, c_0101_11 + 1, c_0101_12 - c_1100_10 + 1, c_0101_5 + c_1100_10, c_0101_8 + c_1100_10 - 1, c_0110_10 + c_1100_10, c_1001_2 - c_1100_10^2 + c_1100_10, c_1100_10^3 - c_1100_10 - 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_9, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_5, c_0101_8, c_0110_10, c_1001_2, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 3*c_1100_10 + 4, c_0011_0 - 1, c_0011_10 + c_1100_10^2 + c_1100_10, c_0011_3 - c_1100_10, c_0011_9 - 1, c_0101_0 - c_1100_10^2 + 1, c_0101_10 + c_1100_10 + 1, c_0101_11 - 1, c_0101_12 - c_1100_10 - 1, c_0101_5 - c_1100_10, c_0101_8 - c_1100_10 - 1, c_0110_10 + c_1100_10, c_1001_2 - c_1100_10^2 + c_1100_10, c_1100_10^3 - c_1100_10 - 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_9, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_5, c_0101_8, c_0110_10, c_1001_2, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 370939/13750803*c_0101_8*c_1100_10^2 - 83044/1527867*c_0101_8*c_1100_10 - 5046/169763*c_0101_8 + 947935/13750803*c_1100_10^2 - 339370/1527867*c_1100_10 + 23521/509289, c_0011_0 - 1, c_0011_10 + 1/9*c_0101_8*c_1100_10^2 - c_0101_8 + 1/3*c_1100_10, c_0011_3 + 1/3*c_1100_10, c_0011_9 + 1, c_0101_0 - 1/9*c_1100_10^2 + 1, c_0101_10 + 1/9*c_0101_8*c_1100_10^2 - c_0101_8 + 1/9*c_1100_10^2 + 1/3*c_1100_10 - 1, c_0101_11 - 1/9*c_0101_8*c_1100_10^2 + c_0101_8 - 1/9*c_1100_10^2 - 2/3*c_1100_10 + 1, c_0101_12 + 1/9*c_0101_8*c_1100_10^2 - c_0101_8 + 1/9*c_1100_10^2 + 1/3*c_1100_10 - 1, c_0101_5 + c_0101_8 + 1, c_0101_8^2 + 2*c_0101_8 - 1/3*c_1100_10^2 + 1, c_0110_10 + 1/3*c_1100_10, c_1001_2 + 1/9*c_1100_10^2 + 1/3*c_1100_10, c_1100_10^3 - 9*c_1100_10 + 27 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 8.120 Total time: 8.330 seconds, Total memory usage: 64.12MB