Magma V2.19-8 Tue Aug 20 2013 16:14:28 on localhost [Seed = 1932717942] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s461 geometric_solution 4.80028258 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 3 0132 3120 0132 0132 0 0 0 0 0 -1 0 1 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 1 1 -2 -1 0 0 1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.297098594986 0.679613414081 0 0 2 3 0132 3120 1023 2310 0 0 0 0 0 1 0 -1 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 -1 0 1 1 0 -1 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 0.297098594986 0.679613414081 4 4 1 0 0132 3201 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 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 0.611326148348 2.779536004300 1 5 0 5 3201 0132 0132 2310 0 0 0 0 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 -1 2 -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 0.642601717809 1.050699712233 2 4 2 4 0132 1302 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.488698579777 0.566435491492 3 3 5 5 3201 0132 1230 3012 0 0 0 0 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 1 0 -1 -1 0 1 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 0.354996093434 0.226413083133 ==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' : d['c_0110_5'], 'c_1100_4' : d['c_0011_2'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0011_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_2, c_0011_3, c_0101_0, c_0101_2, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t + 8497*c_0110_5^22 - 226699*c_0110_5^20 + 2043177*c_0110_5^18 - 8896404*c_0110_5^16 + 22335704*c_0110_5^14 - 35354063*c_0110_5^12 + 36590360*c_0110_5^10 - 24758751*c_0110_5^8 + 10720748*c_0110_5^6 - 2843119*c_0110_5^4 + 419354*c_0110_5^2 - 26324, c_0011_0 - 1, c_0011_2 + 4421*c_0110_5^23 - 117817*c_0110_5^21 + 1059511*c_0110_5^19 - 4597439*c_0110_5^17 + 11489338*c_0110_5^15 - 18079034*c_0110_5^13 + 18569626*c_0110_5^11 - 12438980*c_0110_5^9 + 5315591*c_0110_5^7 - 1386703*c_0110_5^5 + 200558*c_0110_5^3 - 12305*c_0110_5, c_0011_3 + c_0110_5^23 - 27*c_0110_5^21 + 249*c_0110_5^19 - 1124*c_0110_5^17 + 2964*c_0110_5^15 - 5003*c_0110_5^13 + 5640*c_0110_5^11 - 4295*c_0110_5^9 + 2197*c_0110_5^7 - 740*c_0110_5^5 + 157*c_0110_5^3 - 18*c_0110_5, c_0101_0 - 16*c_0110_5^23 + 431*c_0110_5^21 - 3957*c_0110_5^19 + 17735*c_0110_5^17 - 46300*c_0110_5^15 + 77084*c_0110_5^13 - 85237*c_0110_5^11 + 63080*c_0110_5^9 - 30857*c_0110_5^7 + 9643*c_0110_5^5 - 1772*c_0110_5^3 + 148*c_0110_5, c_0101_2 - 987*c_0110_5^22 + 26272*c_0110_5^20 - 235728*c_0110_5^18 + 1019348*c_0110_5^16 - 2536112*c_0110_5^14 + 3969253*c_0110_5^12 - 4050561*c_0110_5^10 + 2691989*c_0110_5^8 - 1140191*c_0110_5^6 + 294866*c_0110_5^4 - 42330*c_0110_5^2 + 2583, c_0110_5^24 - 27*c_0110_5^22 + 249*c_0110_5^20 - 1124*c_0110_5^18 + 2964*c_0110_5^16 - 5003*c_0110_5^14 + 5640*c_0110_5^12 - 4295*c_0110_5^10 + 2197*c_0110_5^8 - 740*c_0110_5^6 + 157*c_0110_5^4 - 19*c_0110_5^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB