Magma V2.19-8 Tue Aug 20 2013 23:39:13 on localhost [Seed = 71458899] Type ? for help. Type -D to quit. Loading file "K11n42__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n42 geometric_solution 11.21911773 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 0 0 0 0 3 0 0 -3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.286039878118 0.461018801231 0 5 6 5 0132 0132 0132 1302 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 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.284545069693 0.705622416040 7 0 4 6 0132 0132 2103 3201 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 1 -1 0 0 0 0 0 -1 1 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.590242665654 1.361942922892 8 9 10 0 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 0 0 0 1 0 -1 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 0.943143766292 1.645106195839 2 10 0 8 2103 0132 0132 2031 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 1 0 0 -1 -2 -1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.741070737885 0.848338916393 11 1 1 7 0132 0132 2031 3012 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 0 0 0 0 1.064744384369 0.700875493003 7 2 9 1 3120 2310 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.441421450209 1.280975411465 2 8 5 6 0132 3201 1230 3120 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 2 -2 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.016798859628 1.286471244952 3 4 7 11 0132 1302 2310 3201 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 2 -2 -1 0 1 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 0.641537829335 0.648966807904 11 3 6 10 3201 0132 3120 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.221719332588 0.675972107918 9 4 11 3 3120 0132 0321 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 0 0 0 0 -1 1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.620154084984 0.664442919927 5 8 10 9 0132 2310 0321 2310 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 -3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.684702687586 0.513112485723 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_3']), 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : negation(d['c_0011_10']), 'c_1001_7' : negation(d['c_0101_0']), 'c_1001_6' : negation(d['c_1001_0']), 'c_1001_1' : negation(d['c_0101_7']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : negation(d['c_0011_10']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_6'], 'c_1010_11' : negation(d['c_0101_3']), 'c_1010_10' : negation(d['c_0011_10']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0101_10']), '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_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' : negation(d['c_0101_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : d['c_1001_11'], 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_1001_11'], 'c_1100_3' : d['c_1001_11'], 'c_1100_2' : negation(d['c_0011_6']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_3']), 'c_1100_10' : d['c_1001_11'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0011_10']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_1001_11']), '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'], '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_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), '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' : d['c_0101_5'], 'c_0110_10' : d['c_0101_3'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_10'], '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_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_5']), 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0101_10']), 'c_0110_4' : d['c_0011_6'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_5, c_0101_7, c_1001_0, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 350209964/768355*c_1001_11^4 + 3850875543/1536710*c_1001_11^3 + 8230401343/1536710*c_1001_11^2 + 1348306611/1536710*c_1001_11 + 9883781133/1536710, c_0011_0 - 1, c_0011_10 + 13/757*c_1001_11^4 + 142/757*c_1001_11^3 + 434/757*c_1001_11^2 - 160/757*c_1001_11 + 153/757, c_0011_3 + 10/757*c_1001_11^4 + 51/757*c_1001_11^3 - 132/757*c_1001_11^2 + 401/757*c_1001_11 - 57/757, c_0011_6 + 13/757*c_1001_11^4 + 142/757*c_1001_11^3 + 434/757*c_1001_11^2 + 597/757*c_1001_11 + 153/757, c_0101_0 - 17/757*c_1001_11^4 - 11/757*c_1001_11^3 + 73/757*c_1001_11^2 + 151/757*c_1001_11 + 324/757, c_0101_1 + 17/757*c_1001_11^4 + 11/757*c_1001_11^3 - 73/757*c_1001_11^2 - 151/757*c_1001_11 + 433/757, c_0101_10 + 14/757*c_1001_11^4 - 80/757*c_1001_11^3 + 118/757*c_1001_11^2 + 410/757*c_1001_11 + 223/757, c_0101_3 + 10/757*c_1001_11^4 + 51/757*c_1001_11^3 - 132/757*c_1001_11^2 + 401/757*c_1001_11 - 57/757, c_0101_5 - 48/757*c_1001_11^4 + 58/757*c_1001_11^3 + 28/757*c_1001_11^2 - 108/757*c_1001_11 - 332/757, c_0101_7 - 17/757*c_1001_11^4 - 11/757*c_1001_11^3 + 73/757*c_1001_11^2 + 151/757*c_1001_11 - 433/757, c_1001_0 - 60/757*c_1001_11^4 - 306/757*c_1001_11^3 - 722/757*c_1001_11^2 - 892/757*c_1001_11 - 415/757, c_1001_11^5 + 5*c_1001_11^4 + 9*c_1001_11^3 - 4*c_1001_11^2 + 13*c_1001_11 - 7 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_5, c_0101_7, c_1001_0, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 1719998/2465*c_1001_11^5 + 667981/145*c_1001_11^4 - 23476261/2465*c_1001_11^3 - 1629563/2465*c_1001_11^2 - 998188/493*c_1001_11 - 162706/2465, c_0011_0 - 1, c_0011_10 + 9/25*c_1001_11^5 - 46/25*c_1001_11^4 + 38/25*c_1001_11^3 + 169/25*c_1001_11^2 + 4*c_1001_11 + 43/25, c_0011_3 - 16/25*c_1001_11^5 + 94/25*c_1001_11^4 - 142/25*c_1001_11^3 - 161/25*c_1001_11^2 - 24/5*c_1001_11 - 22/25, c_0011_6 - 16/25*c_1001_11^5 + 99/25*c_1001_11^4 - 177/25*c_1001_11^3 - 96/25*c_1001_11^2 - 12/5*c_1001_11 - 2/25, c_0101_0 - 1/5*c_1001_11^5 + c_1001_11^4 - 4/5*c_1001_11^3 - 18/5*c_1001_11^2 - 13/5*c_1001_11 - 8/5, c_0101_1 + 1/5*c_1001_11^5 - c_1001_11^4 + 4/5*c_1001_11^3 + 18/5*c_1001_11^2 + 13/5*c_1001_11 + 3/5, c_0101_10 - 23/25*c_1001_11^5 + 142/25*c_1001_11^4 - 246/25*c_1001_11^3 - 153/25*c_1001_11^2 - 18/5*c_1001_11 - 1/25, c_0101_3 + 16/25*c_1001_11^5 - 94/25*c_1001_11^4 + 142/25*c_1001_11^3 + 161/25*c_1001_11^2 + 24/5*c_1001_11 + 22/25, c_0101_5 + 24/25*c_1001_11^5 - 146/25*c_1001_11^4 + 248/25*c_1001_11^3 + 164/25*c_1001_11^2 + 24/5*c_1001_11 + 13/25, c_0101_7 - 16/25*c_1001_11^5 + 99/25*c_1001_11^4 - 177/25*c_1001_11^3 - 96/25*c_1001_11^2 - 12/5*c_1001_11 - 27/25, c_1001_0 - 3/5*c_1001_11^5 + 19/5*c_1001_11^4 - 7*c_1001_11^3 - 17/5*c_1001_11^2 - 1/5*c_1001_11 + 2/5, c_1001_11^6 - 6*c_1001_11^5 + 10*c_1001_11^4 + 7*c_1001_11^3 + 8*c_1001_11^2 + 2*c_1001_11 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.010 Total time: 1.229 seconds, Total memory usage: 64.12MB