Magma V2.19-8 Mon Oct 7 2013 11:11:07 on localhost [Seed = 4075974589] Type ? for help. Type -D to quit. Loading file "10^2_137__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_137 geometric_solution 17.86169811 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 19 1 2 3 1 0132 0132 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 0 1 -1 0 1 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.702504785729 0.854146625914 0 4 5 0 0132 0132 0132 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 1 -1 1 0 -1 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.702504785729 0.854146625914 6 0 8 7 0132 0132 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.291126081164 1.298061050511 9 10 11 0 0132 0132 0132 0132 0 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 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 0.917747837671 1.402202877248 12 1 13 7 0132 0132 0132 1023 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 0 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 0.291126081164 1.298061050511 14 15 16 1 0132 0132 0132 0132 0 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 0 0 0 0 0 0 0 0 1 0 -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 0.917747837671 1.402202877248 2 12 17 14 0132 0132 0132 2031 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.417747837671 0.536177473463 15 10 2 4 2031 0213 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.087070091610 0.345260587760 16 13 13 2 1302 2103 1023 0132 0 0 0 1 0 0 0 0 -1 0 1 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 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.538000461072 1.139076474286 3 12 11 17 0132 1302 3120 1302 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 -1 0 0 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 0.313251931793 0.663229740211 17 3 7 11 1302 0132 0213 3120 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 0 0 0 0 0 0 0 0 0.557782537673 0.712003161329 10 13 9 3 3120 2031 3120 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.460434076637 4 6 18 9 0132 0132 0132 2031 1 0 0 0 0 1 -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 0 0 -1 1 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 0.417747837671 0.536177473463 11 8 8 4 1302 2103 1023 0132 0 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 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 0.538000461072 1.139076474286 5 6 16 18 0132 1302 3120 1302 0 0 1 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 -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 0.313251931793 0.663229740211 18 5 7 16 1302 0132 1302 3120 0 0 1 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 -1 0 1 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 0.557782537673 0.712003161329 15 8 14 5 3120 2031 3120 0132 0 0 1 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 -1 0 0 1 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.460434076637 18 10 9 6 0132 2031 2031 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.148747607135 1.396714887348 17 15 14 12 0132 2031 2031 0132 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 0 0 0 0 0 0 0 0 0 0 -1 0 1 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 0.148747607135 1.396714887348 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1010_13' : negation(d['c_1001_2']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1001_18' : negation(d['c_0101_5']), 'c_1001_15' : d['c_0110_7'], 'c_1001_14' : d['c_0101_2'], 'c_1001_17' : negation(d['c_0101_3']), 'c_1001_16' : negation(d['c_0101_2']), 'c_1001_11' : negation(d['c_0101_4']), 'c_1001_10' : d['c_1001_0'], 'c_1001_13' : negation(d['c_0011_16']), 'c_1001_12' : d['c_0011_14'], 'c_1001_5' : negation(d['c_0011_16']), 'c_1001_4' : negation(d['c_1001_2']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_0110_7'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_11']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_4'], 'c_1001_8' : negation(d['c_0011_11']), 's_0_18' : d['1'], 's_3_18' : d['1'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_0011_11']), 'c_1010_17' : d['c_0011_10'], 'c_1010_16' : negation(d['c_0011_16']), 'c_1010_15' : negation(d['c_0011_16']), 'c_1010_14' : d['c_1010_14'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_3_15' : d['1'], 's_0_15' : d['1'], 's_3_17' : d['1'], 's_0_17' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_17']), 'c_0101_17' : negation(d['c_0101_11']), 'c_0101_16' : d['c_0101_16'], 'c_0101_15' : d['c_0011_17'], 'c_0101_14' : d['c_0101_1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(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' : d['1'], 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_2_16' : d['1'], 's_2_17' : d['1'], 's_2_14' : d['1'], 's_2_15' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_15' : d['c_0011_14'], 'c_0011_14' : d['c_0011_14'], 'c_0011_17' : d['c_0011_17'], 'c_0011_16' : d['c_0011_16'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : negation(d['c_0011_11']), 'c_1010_12' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_1100_13'], 'c_1100_7' : negation(d['c_1100_13']), 'c_1100_6' : negation(d['c_1010_14']), 'c_1100_1' : negation(d['c_0101_1']), 'c_0011_18' : negation(d['c_0011_17']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : negation(d['c_1100_13']), 'c_1100_14' : negation(d['c_0101_16']), 'c_1100_15' : negation(d['c_0101_16']), 's_3_11' : negation(d['1']), 'c_1100_17' : negation(d['c_1010_14']), 'c_1100_16' : negation(d['c_0101_1']), 'c_1100_11' : negation(d['c_0101_0']), 'c_1100_10' : negation(d['c_0101_11']), 'c_1100_13' : d['c_1100_13'], 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : negation(d['c_0101_11']), 'c_1010_6' : d['c_0011_14'], 'c_1010_5' : d['c_0110_7'], 's_0_13' : d['1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2'], 's_0_14' : d['1'], 'c_1010_9' : d['c_1010_14'], 's_3_14' : d['1'], 'c_1100_8' : negation(d['c_1100_13']), 's_0_16' : d['1'], 's_3_16' : d['1'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(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_1010_14']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : 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_1100_18' : negation(d['c_1010_14']), 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_16']), 'c_0011_5' : negation(d['c_0011_14']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_17']), '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_18' : negation(d['c_0101_11']), 'c_0101_18' : negation(d['c_0101_16']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0101_3'], 'c_0110_13' : d['c_0101_4'], 'c_0110_12' : d['c_0101_4'], 'c_0110_15' : d['c_0101_5'], 'c_0110_14' : d['c_0101_5'], 'c_0110_17' : negation(d['c_0101_16']), 'c_0110_16' : d['c_0101_5'], 'c_1010_4' : d['c_0110_7'], 'c_0101_12' : negation(d['c_0101_11']), 'c_0110_0' : d['c_0101_1'], 's_0_8' : d['1'], 'c_1010_18' : d['c_0011_14'], 's_0_9' : negation(d['1']), 'c_1010_8' : d['c_1001_2'], 's_2_18' : d['1'], 'c_0101_7' : negation(d['c_0101_16']), 'c_0101_6' : negation(d['c_0101_16']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], '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_0101_0'], 'c_0101_8' : negation(d['c_0011_16']), 's_1_18' : d['1'], 's_1_17' : d['1'], 's_1_16' : d['1'], 's_1_15' : negation(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_3'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_11']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_16']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_11']), 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : d['c_0101_2'], 'c_0011_12' : negation(d['c_0011_0']), 'c_0101_13' : negation(d['c_0011_11'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 20 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_14, c_0011_16, c_0011_17, c_0101_0, c_0101_1, c_0101_11, c_0101_16, c_0101_2, c_0101_3, c_0101_4, c_0101_5, c_0110_7, c_1001_0, c_1001_2, c_1010_14, c_1100_13 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 1 Groebner basis: [ t - 14348907/1638400, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - 1/3, c_0011_14 + 1, c_0011_16 - 1/3, c_0011_17 + 10/3, c_0101_0 + 4/3, c_0101_1 + 4/3, c_0101_11 - 2/3, c_0101_16 + 2/3, c_0101_2 - 1/3, c_0101_3 - 2/3, c_0101_4 + 1/3, c_0101_5 - 2/3, c_0110_7 + 8/3, c_1001_0 + 8/3, c_1001_2 + 5/3, c_1010_14 - 1/3, c_1100_13 - 2 ], Ideal of Polynomial ring of rank 20 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_14, c_0011_16, c_0011_17, c_0101_0, c_0101_1, c_0101_11, c_0101_16, c_0101_2, c_0101_3, c_0101_4, c_0101_5, c_0110_7, c_1001_0, c_1001_2, c_1010_14, c_1100_13 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 1776/7*c_1010_14*c_1100_13 + 9320/7*c_1010_14 + 1192*c_1100_13 - 1298, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - 12/7*c_1010_14*c_1100_13 - 2/7*c_1010_14 + 4/7*c_1100_13 + 3/7, c_0011_14 - c_1010_14 - 1, c_0011_16 - 16/7*c_1010_14*c_1100_13 - 5/7*c_1010_14 - 4/7*c_1100_13 - 3/7, c_0011_17 + 1, c_0101_0 + 8/7*c_1010_14*c_1100_13 + 6/7*c_1010_14 - 5/7*c_1100_13 - 2/7, c_0101_1 - 8/7*c_1010_14*c_1100_13 - 6/7*c_1010_14 - 2/7*c_1100_13 + 2/7, c_0101_11 + 4/7*c_1010_14*c_1100_13 - 4/7*c_1010_14 - 6/7*c_1100_13 - 1/7, c_0101_16 + 4/7*c_1010_14*c_1100_13 - 4/7*c_1010_14 + 1/7*c_1100_13 + 5/14, c_0101_2 + 10/7*c_1010_14*c_1100_13 + 4/7*c_1010_14 + 6/7*c_1100_13 + 1/7, c_0101_3 - 2/7*c_1010_14*c_1100_13 + 2/7*c_1010_14 + 10/7*c_1100_13 + 4/7, c_0101_4 + 10/7*c_1010_14*c_1100_13 + 4/7*c_1010_14 - 23/14*c_1100_13 - 17/28, c_0101_5 - 12/7*c_1010_14*c_1100_13 - 2/7*c_1010_14 - 10/7*c_1100_13 - 4/7, c_0110_7 - 4/7*c_1010_14*c_1100_13 + 4/7*c_1010_14 - 8/7*c_1100_13 - 6/7, c_1001_0 + 4/7*c_1010_14*c_1100_13 - 4/7*c_1010_14 - 13/7*c_1100_13 - 9/14, c_1001_2 + 2*c_1100_13, c_1010_14^2 + 1/2*c_1010_14*c_1100_13 - 1/2*c_1010_14 + 1/2*c_1100_13 - 1/2, c_1100_13^2 + 1/2*c_1100_13 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2104.440 Total time: 2104.630 seconds, Total memory usage: 30307.00MB