Magma V2.19-8 Sun Sep 15 2013 14:19:08 on localhost [Seed = 376553007] Type ? for help. Type -D to quit. Loading file "11_74__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_74 geometric_solution 16.45229580 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 17 1 2 3 3 0132 0132 0132 3120 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 -1 0 0 1 9 0 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.732986989314 1.219536758500 0 4 5 5 0132 0132 2103 0132 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 1 0 -1 1 0 0 -1 0 0 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592536526838 0.807658824561 6 0 4 7 0132 0132 1023 0132 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 0 1 0 0 0 0 0 0 0 0 -10 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.412735003335 0.659770427401 0 8 9 0 3120 0132 0132 0132 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 -1 0 1 0 9 -9 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.171319684784 0.782473679883 8 1 2 9 0213 0132 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 1 0 -1 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 -9 0 9 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.671955768102 0.706886680139 1 10 1 11 2103 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 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 0.409478517017 0.804912212534 2 12 11 10 0132 0132 2310 1023 0 0 0 0 0 1 0 -1 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 9 0 -9 0 0 0 0 10 -10 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.690369596718 0.895433279633 10 13 2 8 2310 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.254386825293 0.949099747133 4 3 12 7 0213 0132 1302 0213 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 -10 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.437094650695 0.976805137285 14 4 14 3 0132 1302 3120 0132 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 1 -1 0 -1 0 1 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.551488502886 0.827542470222 14 5 7 6 1023 0132 3201 1023 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 -9 0 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.537744880404 0.802728079099 15 6 5 15 0132 3201 0132 2103 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 1 0 -1 0 1 0 10 0 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.421841243321 1.172420071879 8 6 16 13 2031 0132 0132 1023 0 0 0 0 0 -1 0 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 -9 0 9 0 0 0 0 -1 1 0 0 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.794679991408 0.466912298753 15 7 16 12 1023 0132 1302 1023 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 9 -9 0 0 0 0 -10 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.485249953237 0.352968884891 9 10 9 16 0132 1023 3120 0321 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 9 -9 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 0.551488502886 0.827542470222 11 13 16 11 0132 1023 3120 2103 0 0 0 0 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 0 -10 10 1 0 -1 0 0 0 0 0 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.421841243321 1.172420071879 13 14 15 12 2031 0321 3120 0132 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 -1 0 1 0 -10 0 0 10 -9 -1 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.901577147419 0.586713461921 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_0' : d['1'], 'c_1001_15' : negation(d['c_0011_16']), 'c_1001_14' : d['c_0101_10'], 'c_1001_16' : d['c_0011_16'], 'c_1001_11' : negation(d['c_0101_6']), 'c_1001_10' : negation(d['c_0101_6']), 'c_1001_13' : d['c_0101_12'], 'c_1001_12' : d['c_0110_10'], 's_0_10' : d['1'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0101_2'], 'c_1001_7' : d['c_0110_12'], 'c_1001_6' : d['c_0110_13'], 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : d['c_0110_12'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : d['c_0110_12'], 'c_1010_13' : d['c_0110_12'], 'c_1010_12' : d['c_0110_13'], 'c_1010_11' : negation(d['c_0110_13']), 'c_1010_10' : d['c_0101_2'], 'c_1010_16' : d['c_0110_10'], 'c_1010_15' : d['c_0110_13'], 'c_1010_14' : d['c_0110_10'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_0_16' : d['1'], 's_3_16' : 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_10'], 'c_0101_16' : d['c_0101_15'], 'c_0101_15' : d['c_0101_15'], 'c_0101_14' : d['c_0101_14'], '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_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_16' : d['1'], 's_2_14' : d['1'], 's_2_15' : 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_0011_15' : negation(d['c_0011_11']), 'c_0011_14' : d['c_0011_10'], 'c_0011_16' : d['c_0011_16'], 'c_1100_9' : negation(d['c_0101_14']), 'c_1100_8' : d['c_0101_12'], 'c_0011_13' : negation(d['c_0011_11']), 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0101_11']), 'c_1100_4' : negation(d['c_1001_3']), 'c_1100_7' : d['c_1001_3'], 'c_1100_6' : d['c_0011_11'], 'c_1100_1' : negation(d['c_0101_11']), 'c_1100_0' : negation(d['c_0101_14']), 'c_1100_3' : negation(d['c_0101_14']), 'c_1100_2' : d['c_1001_3'], 'c_1100_15' : negation(d['c_0101_15']), 'c_1100_14' : d['c_0011_16'], 'c_1100_16' : negation(d['c_0101_15']), 'c_1100_11' : negation(d['c_0101_11']), 'c_1100_10' : negation(d['c_0011_11']), 'c_1100_13' : d['c_0101_15'], 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_0101_12'], 'c_1010_6' : d['c_0110_10'], 'c_1010_5' : negation(d['c_0101_6']), 's_0_13' : d['1'], 'c_1010_3' : d['c_0110_12'], 'c_1010_2' : d['c_0110_12'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : negation(d['c_0011_3']), 's_3_15' : d['1'], 'c_1010_9' : d['c_1001_3'], 's_0_15' : d['1'], 's_3_1' : d['1'], 'c_0101_13' : negation(d['c_0011_16']), '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_15']), '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_10']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_11'], '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' : d['c_0101_15'], 'c_0110_10' : d['c_0110_10'], 'c_0110_13' : d['c_0110_13'], 'c_0110_12' : d['c_0110_12'], 'c_0110_15' : d['c_0101_11'], 'c_0110_14' : negation(d['c_0011_16']), 'c_0110_16' : d['c_0101_12'], 'c_1010_4' : negation(d['c_0011_10']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_0'], 's_0_8' : d['1'], 's_0_9' : d['1'], 'c_1010_8' : d['c_1001_3'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_14'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_16']), 'c_0101_8' : d['c_0011_0'], 'c_0011_10' : d['c_0011_10'], 's_1_16' : d['1'], 's_1_15' : d['1'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_14'], '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' : d['c_0101_11'], 'c_0110_4' : negation(d['c_0101_10']), 'c_0110_7' : negation(d['c_0101_10']), 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 18 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_16, c_0011_3, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_14, c_0101_15, c_0101_2, c_0101_6, c_0110_10, c_0110_12, c_0110_13, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 81/30464*c_0110_13 + 297/30464, c_0011_0 - 1, c_0011_10 + 9/2*c_0110_13 - 3/2, c_0011_11 + 1/2*c_0110_13 - 1/2, c_0011_16 - 2, c_0011_3 + c_0110_13 - 2/3, c_0101_0 + 1, c_0101_10 + 3/2*c_0110_13 - 1/2, c_0101_11 - 1, c_0101_12 - 3/2*c_0110_13 + 1/2, c_0101_14 - 3/2*c_0110_13 + 1/2, c_0101_15 + 3/2*c_0110_13 - 1/2, c_0101_2 - 9/2*c_0110_13 + 5/2, c_0101_6 + 1, c_0110_10 + 4, c_0110_12 + 1/2*c_0110_13 + 1/6, c_0110_13^2 - 2/3*c_0110_13 - 7/9, c_1001_3 - 2 ], Ideal of Polynomial ring of rank 18 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_16, c_0011_3, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_14, c_0101_15, c_0101_2, c_0101_6, c_0110_10, c_0110_12, c_0110_13, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 1184/10309*c_0110_13^3 - 5088/10309*c_0110_13^2 + 4632/10309*c_0110_13 + 160/10309, c_0011_0 - 1, c_0011_10 - 2, c_0011_11 + 12/65*c_0110_13^3 - 8/65*c_0110_13^2 - 4/65*c_0110_13 - 56/65, c_0011_16 + 12/65*c_0110_13^3 - 8/65*c_0110_13^2 + 61/65*c_0110_13 + 9/65, c_0011_3 + 18/65*c_0110_13^3 - 12/65*c_0110_13^2 + 53/130*c_0110_13 - 103/130, c_0101_0 + 4/13*c_0110_13^3 + 6/13*c_0110_13^2 + 3/13*c_0110_13 + 19/26, c_0101_10 + 36/65*c_0110_13^3 - 24/65*c_0110_13^2 + 53/65*c_0110_13 - 168/65, c_0101_11 + 4/13*c_0110_13^3 + 6/13*c_0110_13^2 + 3/13*c_0110_13 + 19/26, c_0101_12 - 36/65*c_0110_13^3 + 24/65*c_0110_13^2 - 53/65*c_0110_13 + 38/65, c_0101_14 + 4/13*c_0110_13^3 + 6/13*c_0110_13^2 + 3/13*c_0110_13 + 19/26, c_0101_15 - 16/65*c_0110_13^3 + 54/65*c_0110_13^2 - 38/65*c_0110_13 + 171/130, c_0101_2 + 1, c_0101_6 + 1, c_0110_10 - 12/65*c_0110_13^3 + 8/65*c_0110_13^2 - 61/65*c_0110_13 + 56/65, c_0110_12 - 18/65*c_0110_13^3 + 12/65*c_0110_13^2 - 53/130*c_0110_13 - 27/130, c_0110_13^4 - c_0110_13^3 + 7/2*c_0110_13^2 - 11/4*c_0110_13 + 61/16, c_1001_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 3861.630 Total time: 3861.840 seconds, Total memory usage: 8413.97MB