Magma V2.19-8 Wed Aug 21 2013 00:04:21 on localhost [Seed = 3532962962] Type ? for help. Type -D to quit. Loading file "K13n1973__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n1973 geometric_solution 11.98661555 oriented_manifold CS_known 0.0000000000000001 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.632751183910 0.914686650311 0 5 7 6 0132 0132 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 15 -14 -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 0.406798861116 0.751142037756 8 0 10 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.006200932840 1.292234727113 9 11 8 0 1023 0132 2031 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 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.624875352765 0.481761724057 5 8 0 10 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 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 0.846670479298 0.665431380998 4 1 7 12 0132 0132 0321 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 -15 0 15 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 0.469146247509 1.444995779110 9 7 1 12 3012 2103 0132 3201 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 -1 0 0 0 0 -14 14 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.647527425907 0.819932799039 12 6 5 1 0132 2103 0321 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 -14 0 14 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 0.971053730367 0.528975195722 2 4 11 3 0132 0132 0321 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.362859930761 0.340865685042 11 3 2 6 0213 1023 0132 1230 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 0 0 0 -14 0 0 14 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.632751183910 0.914686650311 11 4 12 2 3201 1302 2031 0132 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 0 -1 1 15 0 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.080400067962 0.530059297766 9 3 8 10 0213 0132 0321 2310 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 0 0 0 14 1 0 -15 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.045270398368 0.876400444543 7 6 5 10 0132 2310 0132 1302 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 -15 15 0 0 0 0 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.796740171136 0.626051250181 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0110_6'], 'c_1001_11' : d['c_0101_3'], 'c_1001_10' : d['c_0101_5'], 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : negation(d['c_0011_12']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0011_12']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_3'], 'c_1001_8' : d['c_0011_10'], 'c_1010_12' : negation(d['c_0110_6']), 'c_1010_11' : negation(d['c_0101_2']), 'c_1010_10' : d['c_1001_2'], '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' : negation(d['c_0011_11']), 'c_0101_10' : d['c_0011_6'], '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_1100_9' : d['c_0110_6'], 'c_1100_8' : d['c_0101_3'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : negation(d['c_1001_2']), 'c_1100_7' : negation(d['c_0011_12']), 'c_1100_6' : negation(d['c_0011_12']), 'c_1100_1' : negation(d['c_0011_12']), 'c_1100_0' : negation(d['c_1001_2']), 'c_1100_3' : negation(d['c_1001_2']), 'c_1100_2' : d['c_0110_6'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_0110_6'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_1001_1']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_12']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_0'], 'c_1010_8' : d['c_1001_2'], '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' : d['c_0011_6'], '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' : negation(d['c_0011_11']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_12']), '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' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_6']), 'c_0110_10' : d['c_0101_2'], 'c_0110_12' : negation(d['c_0101_5']), 'c_0101_12' : d['c_0101_1'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0101_5']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : d['c_0011_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : d['c_0101_2'], '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_0011_11'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0101_1'], '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_11, c_0011_12, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_5, c_0110_6, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 82/3*c_1001_2^3 + 90*c_1001_2^2 + 352/3*c_1001_2 + 181/3, c_0011_0 - 1, c_0011_10 - 2*c_1001_2^3 - 6*c_1001_2^2 - 5*c_1001_2, c_0011_11 - c_1001_2 - 2, c_0011_12 - 1, c_0011_6 + 2*c_1001_2^2 + 4*c_1001_2 + 1, c_0101_0 - 2*c_1001_2^3 - 6*c_1001_2^2 - 6*c_1001_2 - 2, c_0101_1 - 2*c_1001_2^2 - 4*c_1001_2 - 1, c_0101_2 + c_1001_2 + 1, c_0101_3 + c_1001_2 + 1, c_0101_5 - 4*c_1001_2^3 - 12*c_1001_2^2 - 10*c_1001_2 - 2, c_0110_6 + 1, c_1001_1 + 2*c_1001_2^3 + 6*c_1001_2^2 + 6*c_1001_2 + 2, c_1001_2^4 + 4*c_1001_2^3 + 6*c_1001_2^2 + 4*c_1001_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_6, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_5, c_0110_6, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 250/29*c_1001_2^7 - 540/29*c_1001_2^6 - 1050/29*c_1001_2^5 + 2530/29*c_1001_2^4 + 1720/29*c_1001_2^3 - 5914/29*c_1001_2^2 + 3504/29*c_1001_2 - 741/29, c_0011_0 - 1, c_0011_10 - 10*c_1001_2^7 + 70*c_1001_2^6 - 190*c_1001_2^5 + 250*c_1001_2^4 - 166*c_1001_2^3 + 58*c_1001_2^2 - 13*c_1001_2 + 2, c_0011_11 - c_1001_2 + 2, c_0011_12 - 10*c_1001_2^4 + 40*c_1001_2^3 - 50*c_1001_2^2 + 20*c_1001_2 - 3, c_0011_6 + 10*c_1001_2^6 - 60*c_1001_2^5 + 130*c_1001_2^4 - 120*c_1001_2^3 + 46*c_1001_2^2 - 12*c_1001_2 + 1, c_0101_0 - 10*c_1001_2^7 + 70*c_1001_2^6 - 190*c_1001_2^5 + 250*c_1001_2^4 - 166*c_1001_2^3 + 58*c_1001_2^2 - 12*c_1001_2, c_0101_1 - 10*c_1001_2^6 + 60*c_1001_2^5 - 130*c_1001_2^4 + 120*c_1001_2^3 - 46*c_1001_2^2 + 12*c_1001_2 - 1, c_0101_2 - c_1001_2 + 1, c_0101_3 - c_1001_2 + 1, c_0101_5 + 40*c_1001_2^7 - 280*c_1001_2^6 + 770*c_1001_2^5 - 1050*c_1001_2^4 + 744*c_1001_2^3 - 272*c_1001_2^2 + 54*c_1001_2 - 6, c_0110_6 + 1, c_1001_1 - 30*c_1001_2^7 + 210*c_1001_2^6 - 590*c_1001_2^5 + 850*c_1001_2^4 - 668*c_1001_2^3 + 284*c_1001_2^2 - 62*c_1001_2 + 6, c_1001_2^8 - 8*c_1001_2^7 + 26*c_1001_2^6 - 44*c_1001_2^5 + 208/5*c_1001_2^4 - 112/5*c_1001_2^3 + 7*c_1001_2^2 - 6/5*c_1001_2 + 1/10 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.850 Total time: 3.060 seconds, Total memory usage: 64.12MB