Magma V2.19-8 Tue Sep 10 2013 20:49:54 on localhost [Seed = 208789619] Type ? for help. Type -D to quit. Loading file "11_97__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_97 geometric_solution 14.68975126 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 16 1 2 3 4 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 -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 0.342462098917 1.387538917900 0 5 7 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.795707547238 1.036747553240 8 0 7 8 0132 0132 2310 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 -13 0 0 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.084978167811 0.750279078325 9 10 11 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 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 0.457332615926 0.590265281980 11 5 0 12 1023 2310 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 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 0.375014328374 0.639000570067 8 1 9 4 1023 0132 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0.407310718456 0.846117774007 9 13 1 14 2103 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 0 0 0 0 -12 13 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.141209239941 0.735023141599 15 2 15 1 0132 3201 3012 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 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.515667454447 0.833117736655 2 5 13 2 0132 1023 2103 2103 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 1 12 -13 1 0 -1 0 0 0 0 0 13 0 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.084978167811 0.750279078325 3 5 6 13 0132 3201 2103 2103 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 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.292464503534 0.405812552822 14 3 12 12 1302 0132 0213 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -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 0.643228140714 1.218112274985 14 4 15 3 3120 1023 1023 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 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568149662174 0.678250392888 10 10 4 15 3012 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 0 0 -1 0 0 1 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.643228140714 1.218112274985 8 6 14 9 2103 0132 2103 2103 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 1 0 -1 0 -12 0 0 12 13 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.595547379484 1.772962043364 13 10 6 11 2103 2031 0132 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 -1 0 1 1 0 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 0.498709955618 0.696037938312 7 7 11 12 0132 1230 1023 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 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.521537363735 0.897115075262 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_13'], 'c_1001_15' : d['c_0101_11'], 'c_1001_14' : negation(d['c_0011_12']), 'c_1001_11' : d['c_0101_1'], 'c_1001_10' : negation(d['c_0110_5']), 'c_1001_13' : negation(d['c_0011_12']), 'c_1001_12' : negation(d['c_0110_5']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_1001_1']), 'c_1001_7' : negation(d['c_0011_15']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0110_5']), 'c_1001_3' : d['c_0101_12'], 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : negation(d['c_0011_13']), 'c_1001_8' : d['c_0011_13'], 'c_1010_13' : d['c_1001_5'], 'c_1010_12' : d['c_0101_7'], 'c_1010_11' : d['c_0101_12'], 'c_1010_10' : d['c_0101_12'], 'c_1010_15' : d['c_0101_7'], 'c_1010_14' : d['c_0011_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_3_13' : d['1'], 's_3_12' : d['1'], 's_3_15' : d['1'], 's_0_15' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_12'], 'c_0101_15' : d['c_0101_1'], 'c_0101_14' : d['c_0101_13'], '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_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' : d['c_0011_15'], 'c_0011_14' : negation(d['c_0011_12']), 'c_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_11']), 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : negation(d['c_0101_11']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_15']), 'c_1100_15' : negation(d['c_1100_0']), 'c_1100_14' : negation(d['c_0101_11']), 'c_1100_9' : negation(d['c_0101_13']), 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_0101_7'], 'c_1100_13' : negation(d['c_0101_3']), 's_0_11' : d['1'], 's_0_12' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0011_12']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0110_5']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_1001_1']), 's_0_14' : d['1'], 'c_1010_9' : negation(d['c_1001_5']), 's_3_14' : d['1'], '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'], 'c_1100_12' : d['c_1100_0'], '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_3_11' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_15']), 'c_0011_6' : negation(d['c_0011_13']), '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_11' : d['c_0101_3'], 'c_0110_10' : d['c_0011_12'], 'c_0110_13' : d['c_0101_13'], 'c_0110_12' : d['c_0101_7'], 'c_0110_15' : d['c_0101_7'], 'c_0110_14' : d['c_0101_3'], 's_0_13' : d['1'], 'c_0101_12' : d['c_0101_12'], 's_0_8' : d['1'], 's_0_9' : d['1'], 'c_1010_8' : d['c_0110_5'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_13'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_15'], '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_13'], '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_3'], 'c_0110_8' : d['c_0011_15'], '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_13'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_12'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0101_13']), 'c_0101_13' : d['c_0101_13']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_13, c_0011_15, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_13, c_0101_3, c_0101_7, c_0110_5, c_1001_1, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 208885/1835008*c_1100_0 - 504293/917504, c_0011_0 - 1, c_0011_10 - c_1100_0, c_0011_12 - c_1100_0, c_0011_13 - 2*c_1100_0, c_0011_15 - c_1100_0, c_0101_0 - c_1100_0 + 2, c_0101_1 + c_1100_0, c_0101_11 + 2*c_1100_0, c_0101_12 + 1, c_0101_13 + c_1100_0 - 2, c_0101_3 + c_1100_0 + 2, c_0101_7 + c_1100_0, c_0110_5 + c_1100_0 - 1, c_1001_1 - c_1100_0, c_1001_5 + c_1100_0 - 4, c_1100_0^2 + 4*c_1100_0 - 4 ], Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_13, c_0011_15, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_13, c_0101_3, c_0101_7, c_0110_5, c_1001_1, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 33020875/454896*c_1100_0^3 - 29457725/1364688*c_1100_0^2 - 3753655/454896*c_1100_0 + 2888621/454896, c_0011_0 - 1, c_0011_10 + 5/8*c_1100_0^2 - 1/2*c_1100_0 - 3/8, c_0011_12 - 5/8*c_1100_0^2 - 1/2*c_1100_0 + 3/8, c_0011_13 + 5/8*c_1100_0^2 + 1/2*c_1100_0 - 3/8, c_0011_15 + 25/12*c_1100_0^3 + 3/4*c_1100_0, c_0101_0 - 25/24*c_1100_0^3 + 5/4*c_1100_0^2 - 3/8*c_1100_0 + 3/4, c_0101_1 - 25/8*c_1100_0^3 + 5/4*c_1100_0^2 - 1/8*c_1100_0 + 3/4, c_0101_11 - 25/8*c_1100_0^3 + 5/4*c_1100_0^2 - 9/8*c_1100_0 + 3/4, c_0101_12 - 25/24*c_1100_0^3 + 5/8*c_1100_0^2 + 1/8*c_1100_0 + 1/8, c_0101_13 + 25/24*c_1100_0^3 + 5/4*c_1100_0^2 + 3/8*c_1100_0 + 3/4, c_0101_3 - 25/24*c_1100_0^3 + 5/4*c_1100_0^2 - 3/8*c_1100_0 + 3/4, c_0101_7 + 25/12*c_1100_0^3 + 3/4*c_1100_0, c_0110_5 + 5/8*c_1100_0^2 - 1/2*c_1100_0 + 5/8, c_1001_1 - c_1100_0, c_1001_5 + 5/8*c_1100_0^2 - 1/2*c_1100_0 - 3/8, c_1100_0^4 + 18/25*c_1100_0^2 + 9/25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 771.120 Total time: 771.330 seconds, Total memory usage: 4903.59MB