Magma V2.19-8 Wed Aug 21 2013 00:53:47 on localhost [Seed = 1124423374] Type ? for help. Type -D to quit. Loading file "L12n1923__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1923 geometric_solution 12.53339859 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2031 1 0 2 1 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 -1 0 1 -2 0 2 0 0 -1 0 1 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.199252160476 0.700146868334 0 0 5 4 0132 1302 0132 0132 0 0 1 2 0 0 0 0 1 0 -1 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 2 0 -2 0 4 -1 0 -3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.623986590752 1.321263520096 6 0 6 7 0132 0132 3012 0132 1 1 1 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 1 0 -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 0.356517953655 0.799685447690 8 9 7 0 0132 0132 3201 0132 1 0 1 1 0 0 0 0 0 0 1 -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 -1 0 3 -2 4 0 0 -4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.165867212858 0.970047162602 9 7 1 10 2103 2103 0132 0132 0 0 1 1 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 0 0 0 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.220405687835 0.844078986099 11 11 8 1 0132 1230 1023 0132 0 0 2 1 0 0 0 0 0 0 -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 -2 2 -4 5 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.623986590752 1.321263520096 2 2 12 11 0132 1230 0132 2031 1 1 2 1 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.610765790899 0.759027416077 3 4 2 10 2310 2103 0132 2310 1 1 0 1 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 1 -1 0 0 0 0 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.398504320951 1.400293736668 3 12 5 10 0132 3201 1023 1023 0 0 1 1 0 0 1 -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 1 2 -3 1 0 0 -1 -1 0 0 1 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.220405687835 0.844078986099 11 3 4 12 3120 0132 2103 2310 1 0 1 1 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 0 0 0 0 0 1 0 -1 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.509621568452 0.592659782828 7 12 4 8 3201 3120 0132 1023 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 0 0 0 0 -1 0 1 -3 0 0 3 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.108684701708 0.605745293967 5 6 5 9 0132 1302 3012 3120 1 0 1 2 0 -1 0 1 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 -3 0 3 0 0 0 0 0 0 0 0 4 1 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.707747834964 0.618830805107 9 10 8 6 3201 3120 2310 0132 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 1 0 -4 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 0.811993295376 0.660631760048 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_0110_10'], 'c_1001_12' : negation(d['c_0110_10']), 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_0011_7'], 'c_1001_7' : d['c_0011_4'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0011_4'], 'c_1001_8' : negation(d['c_0101_12']), 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0011_3'], 'c_1010_10' : negation(d['c_0011_12']), 's_0_10' : d['1'], 's_0_11' : 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_1'], 'c_0101_10' : negation(d['c_0011_12']), '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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_7']), 'c_1100_3' : negation(d['c_0011_7']), 'c_1100_2' : d['c_0011_10'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_12'], 'c_1100_11' : negation(d['c_0101_0']), 'c_1100_10' : d['c_1100_1'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0110_10']), 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0110_10'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0011_7'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0101_6']), 'c_1010_8' : d['c_0110_10'], 'c_1100_8' : negation(d['c_1100_1']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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_0011_3']), 's_1_7' : negation(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_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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' : negation(d['c_0101_12']), 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_12']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_12']), 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_12']), 'c_0110_8' : negation(d['c_0011_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_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_12']), 'c_0110_7' : d['c_0011_12'], 'c_0110_6' : d['c_0011_11']})} 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_3, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_12, c_0101_6, c_0110_10, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 288542059/10512*c_1100_1^5 - 1980818047/21024*c_1100_1^4 - 1282525861/7008*c_1100_1^3 - 1229704739/5256*c_1100_1^2 - 240853985/1752*c_1100_1 - 78161287/5256, c_0011_0 - 1, c_0011_10 + 1703/657*c_1100_1^5 + 4498/657*c_1100_1^4 + 3049/219*c_1100_1^3 + 10748/657*c_1100_1^2 + 684/73*c_1100_1 + 1552/657, c_0011_11 + 286/657*c_1100_1^5 + 3146/657*c_1100_1^4 + 2468/219*c_1100_1^3 + 12643/657*c_1100_1^2 + 4159/219*c_1100_1 + 4211/657, c_0011_12 - 2587/657*c_1100_1^5 - 8528/657*c_1100_1^4 - 5501/219*c_1100_1^3 - 21217/657*c_1100_1^2 - 1350/73*c_1100_1 - 1826/657, c_0011_3 + 767/219*c_1100_1^5 + 598/73*c_1100_1^4 + 1011/73*c_1100_1^3 + 2858/219*c_1100_1^2 - 109/219*c_1100_1 - 192/73, c_0011_4 - c_1100_1, c_0011_7 + c_1100_1 + 1, c_0101_0 - 1, c_0101_1 - 1, c_0101_12 + 2002/657*c_1100_1^5 + 4940/657*c_1100_1^4 + 3041/219*c_1100_1^3 + 9661/657*c_1100_1^2 + 1081/219*c_1100_1 + 569/657, c_0101_6 + 299/657*c_1100_1^5 + 442/657*c_1100_1^4 - 8/219*c_1100_1^3 - 1087/657*c_1100_1^2 - 971/219*c_1100_1 - 1640/657, c_0110_10 + 767/657*c_1100_1^5 + 2743/657*c_1100_1^4 + 1960/219*c_1100_1^3 + 7238/657*c_1100_1^2 + 580/73*c_1100_1 + 1030/657, c_1100_1^6 + 4*c_1100_1^5 + 112/13*c_1100_1^4 + 160/13*c_1100_1^3 + 128/13*c_1100_1^2 + 44/13*c_1100_1 + 4/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB