Magma V2.19-8 Wed Aug 21 2013 00:54:57 on localhost [Seed = 3734553762] Type ? for help. Type -D to quit. Loading file "L12n789__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n789 geometric_solution 11.93279336 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 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 3 0 0 -3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508262519414 0.881977356872 0 4 6 5 0132 1023 0132 0132 1 1 1 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 0 0 -3 0 0 3 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.366542453592 0.782366799905 4 0 8 7 1023 0132 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 1 2 -3 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 -0.480651291790 1.009328149968 9 7 10 0 0132 1023 0132 0132 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 1 -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 0.856992171657 0.781309221082 1 2 0 9 1023 1023 0132 0321 1 1 1 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 3 -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 0.358082400513 0.951971485413 7 7 1 11 3012 2103 0132 0132 1 1 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 -1 0 1 3 0 -3 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 0.243554989460 0.681110038569 10 10 11 1 0132 1230 0132 0132 1 1 0 1 0 -1 1 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 0 0 0 0 -2 2 0 2 0 -2 0 1 -2 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.387850202370 1.082120717515 3 5 2 5 1023 2103 0132 1230 1 1 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 0 0 0 0 0 0 0 0 3 -3 0 0 0 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.173218084666 0.796539131047 12 12 11 2 0132 1230 1302 0132 1 1 0 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 0 0 0 0 0 0 0 0 2 -2 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 0.872335756093 1.201368075466 3 4 11 12 0132 0321 2310 2103 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.039518849325 1.047819650865 6 12 6 3 0132 2103 3012 0132 1 1 1 0 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 1 -1 -2 0 2 0 -1 0 0 1 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.706488286011 0.818911797906 8 9 5 6 2031 3201 0132 0132 1 1 1 1 0 1 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 0 3 -1 -2 -2 0 0 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 -0.343618876376 1.348903573062 8 10 8 9 0132 2103 3012 2103 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.604249151697 0.545022294076 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_0']), 'c_1001_10' : d['c_0011_10'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_0101_12'], 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : d['c_0101_7'], 'c_1001_2' : d['c_0101_12'], 'c_1001_9' : negation(d['c_1001_6']), 'c_1001_8' : d['c_0101_3'], 'c_1010_12' : negation(d['c_0101_7']), 'c_1010_11' : d['c_1001_6'], 'c_1010_10' : d['c_0101_7'], '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_1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_1001_6']), 'c_1100_7' : d['c_0101_11'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_1001_6']), 'c_1100_3' : negation(d['c_1001_6']), 'c_1100_2' : d['c_0101_11'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_11'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : negation(d['c_1001_6']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_0'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : d['c_0101_7'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0101_12'], 'c_1010_9' : d['c_0101_7'], 'c_1010_8' : d['c_0101_12'], 'c_1100_8' : d['c_0101_11'], 's_3_1' : d['1'], 's_3_0' : negation(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_0101_3']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_10']), '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_3'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_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_11']), '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' : d['c_0101_12'], '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_7'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0011_5'], 'c_0110_6' : d['c_0101_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_5, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_3, c_0101_7, c_1001_6, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 1378175/55809*c_1100_1^4 - 7150094/55809*c_1100_1^3 - 22135141/55809*c_1100_1^2 - 404081/1431*c_1100_1 - 3279841/55809, c_0011_0 - 1, c_0011_10 + 10/13*c_1100_1^4 + 46/13*c_1100_1^3 + 129/13*c_1100_1^2 + 18/13*c_1100_1 - 25/13, c_0011_11 + 36/13*c_1100_1^4 + 163/13*c_1100_1^3 + 467/13*c_1100_1^2 + 83/13*c_1100_1 - 64/13, c_0011_3 - 10/13*c_1100_1^4 - 46/13*c_1100_1^3 - 129/13*c_1100_1^2 - 18/13*c_1100_1 + 12/13, c_0011_5 - 6/13*c_1100_1^4 - 25/13*c_1100_1^3 - 67/13*c_1100_1^2 + 10/13*c_1100_1 + 15/13, c_0101_0 - 1, c_0101_1 + 6/13*c_1100_1^4 + 25/13*c_1100_1^3 + 67/13*c_1100_1^2 - 10/13*c_1100_1 - 15/13, c_0101_11 - 16/13*c_1100_1^4 - 71/13*c_1100_1^3 - 196/13*c_1100_1^2 - 8/13*c_1100_1 + 40/13, c_0101_12 - 15/13*c_1100_1^4 - 69/13*c_1100_1^3 - 200/13*c_1100_1^2 - 53/13*c_1100_1 + 18/13, c_0101_3 - 21/13*c_1100_1^4 - 94/13*c_1100_1^3 - 267/13*c_1100_1^2 - 43/13*c_1100_1 + 33/13, c_0101_7 - 10/13*c_1100_1^4 - 46/13*c_1100_1^3 - 129/13*c_1100_1^2 - 31/13*c_1100_1 + 25/13, c_1001_6 - 10/13*c_1100_1^4 - 46/13*c_1100_1^3 - 129/13*c_1100_1^2 - 31/13*c_1100_1 + 12/13, c_1100_1^5 + 5*c_1100_1^4 + 15*c_1100_1^3 + 8*c_1100_1^2 - c_1100_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.460 Total time: 0.680 seconds, Total memory usage: 32.09MB