Magma V2.19-8 Tue Aug 20 2013 16:14:42 on localhost [Seed = 2050745959] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s687 geometric_solution 5.18620438 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.632302904089 0.700576175519 3 2 4 0 0132 3012 0132 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 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 0.947064197589 0.812733868402 1 3 0 4 1230 3201 0132 2310 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 -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 0.947064197589 0.812733868402 1 5 2 5 0132 0132 2310 1023 0 0 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 -1 0 1 0 0 -1 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 1.430024442960 0.527222622766 2 4 4 1 3201 1230 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.065784383974 0.607097722085 5 3 5 3 2310 0132 3201 1023 0 0 0 0 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 1 0 -1 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 0.752594619615 0.489071763931 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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_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_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_5' : negation(d['c_0011_1']), 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 3*c_0101_5^5 - 12*c_0101_5^4 + c_0101_5^3 + 39*c_0101_5^2 + 14*c_0101_5 - 22, c_0011_0 - 1, c_0011_1 + c_0101_5^3 + 2*c_0101_5^2 - c_0101_5 - 1, c_0011_4 - c_0101_5, c_0101_0 - c_0101_5^5 - 4*c_0101_5^4 - 2*c_0101_5^3 + 5*c_0101_5^2 + 2*c_0101_5 - 1, c_0101_1 - c_0101_5^4 - 3*c_0101_5^3 + 3*c_0101_5, c_0101_5^6 + 5*c_0101_5^5 + 5*c_0101_5^4 - 6*c_0101_5^3 - 7*c_0101_5^2 + 2*c_0101_5 + 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 33143099743/14843962014*c_0101_5^9 - 56536030522/2473993669*c_0101_5^8 - 21412837244/7421981007*c_0101_5^7 - 1425072075863/7421981007*c_0101_5^6 - 4942828181771/14843962014*c_0101_5^5 - 3629870203241/7421981007*c_0101_5^4 + 421556926156/1060283001*c_0101_5^3 + 544779914192/1060283001*c_0101_5^2 + 2021273031485/14843962014*c_0101_5 + 355235157005/14843962014, c_0011_0 - 1, c_0011_1 + 361830053/9895974676*c_0101_5^9 - 1912334807/4947987338*c_0101_5^8 + 780745487/9895974676*c_0101_5^7 - 31046770059/9895974676*c_0101_5^6 - 10813955151/2473993669*c_0101_5^5 - 4404484179/706855334*c_0101_5^4 + 91935428677/9895974676*c_0101_5^3 + 33009169583/4947987338*c_0101_5^2 + 126254381/1413710668*c_0101_5 + 1526090037/9895974676, c_0011_4 + 193049463/2473993669*c_0101_5^9 - 611298871/706855334*c_0101_5^8 + 3065149685/4947987338*c_0101_5^7 - 17557329191/2473993669*c_0101_5^6 - 28042579675/4947987338*c_0101_5^5 - 54710378305/4947987338*c_0101_5^4 + 122666327561/4947987338*c_0101_5^3 + 225514784/2473993669*c_0101_5^2 + 8180776291/2473993669*c_0101_5 - 226336143/706855334, c_0101_0 + 1182839383/9895974676*c_0101_5^9 - 6698274225/4947987338*c_0101_5^8 + 12412669155/9895974676*c_0101_5^7 - 108003655747/9895974676*c_0101_5^6 - 30893004231/4947987338*c_0101_5^5 - 32843802394/2473993669*c_0101_5^4 + 421448396927/9895974676*c_0101_5^3 - 17984606974/2473993669*c_0101_5^2 - 16419049223/9895974676*c_0101_5 - 6274101619/9895974676, c_0101_1 + 193049463/2473993669*c_0101_5^9 - 611298871/706855334*c_0101_5^8 + 3065149685/4947987338*c_0101_5^7 - 17557329191/2473993669*c_0101_5^6 - 28042579675/4947987338*c_0101_5^5 - 54710378305/4947987338*c_0101_5^4 + 122666327561/4947987338*c_0101_5^3 + 225514784/2473993669*c_0101_5^2 + 5706782622/2473993669*c_0101_5 - 226336143/706855334, c_0101_5^10 - 11*c_0101_5^9 + 7*c_0101_5^8 - 90*c_0101_5^7 - 81*c_0101_5^6 - 146*c_0101_5^5 + 301*c_0101_5^4 + 19*c_0101_5^3 + 11*c_0101_5^2 - 4*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB