Magma V2.19-8 Tue Aug 20 2013 16:14:07 on localhost [Seed = 1882319945] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s063 geometric_solution 3.60538751 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 0 1 0 0132 2310 2310 3201 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 -1 0 0 1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.668233259947 0.073971476978 0 0 2 2 0132 3201 2310 0132 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 -1 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 0 0 0 2.158789518911 0.483872734931 3 1 1 3 0132 3201 0132 1023 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 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 1.343285503127 0.507848243558 2 4 5 2 0132 0132 0132 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 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 0.205662247116 0.410462312643 5 3 5 5 2310 0132 3201 2031 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 0.007357466111 1.019699034695 4 4 4 3 2310 1302 3201 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.007357466111 1.019699034695 ==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_2']), 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : d['c_0011_2'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_0101_1']), '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_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_1'])})} 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_5, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 2*c_0101_1 - 3, c_0011_0 - 1, c_0011_2 - c_0101_1, c_0011_5 - c_0101_1, c_0101_0 + 1, c_0101_1^2 - c_0101_1 - 1, c_0101_3 - 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 148695/586*c_0101_3^11 - 26414/293*c_0101_3^10 + 95542/293*c_0101_3^9 - 266695/586*c_0101_3^8 - 290572/293*c_0101_3^7 + 387183/586*c_0101_3^6 + 562320/293*c_0101_3^5 - 591885/293*c_0101_3^4 - 97975/293*c_0101_3^3 + 3000865/586*c_0101_3^2 + 766931/586*c_0101_3 - 180715/293, c_0011_0 - 1, c_0011_2 + 1281/293*c_0101_3^11 + 1175/586*c_0101_3^10 - 1599/293*c_0101_3^9 + 2147/293*c_0101_3^8 + 10489/586*c_0101_3^7 - 2829/293*c_0101_3^6 - 19881/586*c_0101_3^5 + 9247/293*c_0101_3^4 + 2804/293*c_0101_3^3 - 25755/293*c_0101_3^2 - 18271/586*c_0101_3 + 4537/586, c_0011_5 + 1281/293*c_0101_3^11 + 1175/586*c_0101_3^10 - 1599/293*c_0101_3^9 + 2147/293*c_0101_3^8 + 10489/586*c_0101_3^7 - 2829/293*c_0101_3^6 - 19881/586*c_0101_3^5 + 9247/293*c_0101_3^4 + 2511/293*c_0101_3^3 - 25755/293*c_0101_3^2 - 17685/586*c_0101_3 + 4537/586, c_0101_0 - 1283/586*c_0101_3^11 - 605/586*c_0101_3^10 + 751/293*c_0101_3^9 - 2095/586*c_0101_3^8 - 5291/586*c_0101_3^7 + 2725/586*c_0101_3^6 + 9885/586*c_0101_3^5 - 4457/293*c_0101_3^4 - 1253/293*c_0101_3^3 + 25319/586*c_0101_3^2 + 4874/293*c_0101_3 - 2169/586, c_0101_1 + 429/586*c_0101_3^11 + 9/293*c_0101_3^10 - 218/293*c_0101_3^9 + 859/586*c_0101_3^8 + 702/293*c_0101_3^7 - 1425/586*c_0101_3^6 - 1336/293*c_0101_3^5 + 1863/293*c_0101_3^4 - 463/293*c_0101_3^3 - 7563/586*c_0101_3^2 - 923/586*c_0101_3 + 426/293, c_0101_3^12 + c_0101_3^11 - c_0101_3^10 + c_0101_3^9 + 5*c_0101_3^8 - 9*c_0101_3^6 + 3*c_0101_3^5 + 6*c_0101_3^4 - 19*c_0101_3^3 - 18*c_0101_3^2 - 2*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB