Magma V2.19-8 Wed Aug 21 2013 01:12:27 on localhost [Seed = 2463403156] Type ? for help. Type -D to quit. Loading file "L14n60011__sl2_c14.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n60011 geometric_solution 12.36221152 oriented_manifold CS_known -0.0000000000000001 4 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 0 2 3 2 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 0 0 1 0 -1 1 0 0 -1 -1 2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.211749910641 1.217863094241 0 4 4 5 0132 0132 1302 0132 0 2 2 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 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 0.861422803984 0.797015933660 0 0 4 6 3012 0132 0132 0132 0 0 2 3 0 -1 0 1 1 0 -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 -1 0 1 1 0 0 -1 1 0 0 -1 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.374549457075 0.578686849387 7 8 5 0 0132 0132 0213 0132 0 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598269396812 0.606460218367 1 1 8 2 2031 0132 0132 0132 0 0 3 2 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 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 0.374549457075 0.578686849387 7 3 1 6 1230 0213 0132 1230 0 2 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 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 0.759154700092 1.146034485643 5 9 2 10 3012 0132 0132 0132 0 0 2 2 0 0 -1 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 -1 1 0 0 1 -1 -1 4 0 -3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.734960620834 1.079502071494 3 5 7 7 0132 3012 2031 1302 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.600919555739 0.259988477219 11 3 12 4 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.734960620834 1.079502071494 11 6 12 12 1023 0132 1302 0321 0 1 2 2 0 0 0 0 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 0 0 0 -1 0 1 0 3 1 0 -4 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.431167679743 1.023751027562 11 11 6 12 2103 1302 0132 0132 0 0 1 2 0 1 -1 0 0 0 0 0 -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 1 -1 0 -1 0 1 0 1 0 0 -1 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.431167679743 1.023751027562 8 9 10 10 0132 1023 2103 2031 1 0 2 2 0 0 1 -1 1 0 0 -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 1 -1 0 0 0 1 -1 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.431167679743 1.023751027562 9 9 10 8 2031 0321 0132 0132 0 0 2 1 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 -4 4 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.431167679743 1.023751027562 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0101_8'], 'c_1001_12' : d['c_0101_12'], 'c_1001_5' : d['c_1001_3'], 'c_1001_4' : d['c_1001_3'], 'c_1001_7' : negation(d['c_0011_5']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_0101_8'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_0'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : d['c_0101_12'], 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : 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' : negation(d['1']), 's_2_12' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(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_0101_12'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0101_10'], 'c_1100_4' : d['c_1100_10'], 'c_1100_7' : d['c_0101_0'], 'c_1100_6' : d['c_1100_10'], 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : d['c_1100_10'], 's_3_11' : negation(d['1']), 'c_1100_11' : negation(d['c_0101_12']), 'c_1100_10' : d['c_1100_10'], 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0101_0']), 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_1001_0'], 'c_1010_8' : d['c_1001_3'], 'c_1100_8' : d['c_1100_10'], '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : 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_11'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_8'], 'c_0110_10' : d['c_0101_12'], 'c_0110_12' : d['c_0101_8'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_10'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0011_5'], 'c_0110_6' : d['c_0101_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_5, c_0101_0, c_0101_10, c_0101_12, c_0101_2, c_0101_6, c_0101_8, c_1001_0, c_1001_3, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 334898843/5191712000*c_1100_10^6 - 3654719259/2595856000*c_1100_10^5 - 23115439123/5191712000*c_1100_10^4 - 961391813/136624000*c_1100_10^3 - 54178458289/5191712000*c_1100_10^\ 2 - 3279519363/324482000*c_1100_10 - 2246413693/1297928000, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 + 77191/3244820*c_1100_10^6 - 813877/1622410*c_1100_10^5 - 6609707/3244820*c_1100_10^4 - 300641/85390*c_1100_10^3 - 18549929/3244820*c_1100_10^2 - 1128536/162241*c_1100_10 - 2943212/811205, c_0011_5 - 30283/3244820*c_1100_10^6 + 365471/1622410*c_1100_10^5 + 506581/3244820*c_1100_10^4 - 3686/42695*c_1100_10^3 + 708387/3244820*c_1100_10^2 - 247469/162241*c_1100_10 - 1652469/811205, c_0101_0 - 1, c_0101_10 + 1, c_0101_12 + 3139/6489640*c_1100_10^6 - 47473/3244820*c_1100_10^5 + 521117/6489640*c_1100_10^4 - 60699/170780*c_1100_10^3 - 2326201/6489640*c_1100_10^2 - 165311/324482*c_1100_10 - 555403/1622410, c_0101_2 - 2331/170780*c_1100_10^6 + 26657/85390*c_1100_10^5 + 104307/170780*c_1100_10^4 + 41132/42695*c_1100_10^3 + 223779/170780*c_1100_10^2 + 24959/17078*c_1100_10 + 25572/42695, c_0101_6 - 2331/170780*c_1100_10^6 + 26657/85390*c_1100_10^5 + 104307/170780*c_1100_10^4 + 41132/42695*c_1100_10^3 + 223779/170780*c_1100_10^2 + 24959/17078*c_1100_10 - 17123/42695, c_0101_8 - 87047/3244820*c_1100_10^6 + 477462/811205*c_1100_10^5 + 5729119/3244820*c_1100_10^4 + 135326/42695*c_1100_10^3 + 14078853/3244820*c_1100_10^2 + 1166093/324482*c_1100_10 + 33069/811205, c_1001_0 - 1, c_1001_3 + 2331/170780*c_1100_10^6 - 26657/85390*c_1100_10^5 - 104307/170780*c_1100_10^4 - 41132/42695*c_1100_10^3 - 223779/170780*c_1100_10^2 - 24959/17078*c_1100_10 + 17123/42695, c_1100_10^7 - 22*c_1100_10^6 - 65*c_1100_10^5 - 102*c_1100_10^4 - 155*c_1100_10^3 - 148*c_1100_10^2 - 28*c_1100_10 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB