Magma V2.19-8 Tue Aug 20 2013 16:14:08 on localhost [Seed = 2118115929] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s093 geometric_solution 3.92021336 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 6 1 0 1 0 0132 2310 1023 3201 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 -1 1 0 0 0 -1 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 0.703044553687 0.095433486624 0 2 0 2 0132 0132 1023 1023 0 0 0 0 0 0 0 0 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 0 1 -1 0 0 -1 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 0.481961502983 0.339983999694 3 1 4 1 0132 0132 0132 1023 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 0 1 -1 -1 0 0 1 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.722876284578 3.090741804642 2 4 4 5 0132 3201 2310 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 -1 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 0.015699942538 0.579938365029 5 3 3 2 0132 3201 2310 0132 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 1 0 -1 0 0 0 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.015699942538 0.579938365029 4 5 3 5 0132 1302 0132 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 1.527515916712 0.960575660492 ==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' : negation(d['1']), 's_3_0' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_3'], '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_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_3'], '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 128115248/8005015*c_0101_3^9 + 499360636/8005015*c_0101_3^8 - 18226218/8005015*c_0101_3^7 - 1909138813/8005015*c_0101_3^6 - 3348506643/8005015*c_0101_3^5 - 2827550756/8005015*c_0101_3^4 - 1021231649/8005015*c_0101_3^3 + 25402556/1601003*c_0101_3^2 + 255150172/8005015*c_0101_3 + 105512782/8005015, c_0011_0 - 1, c_0011_4 + 64868/55207*c_0101_3^9 + 162606/55207*c_0101_3^8 - 285667/55207*c_0101_3^7 - 713314/55207*c_0101_3^6 - 545419/55207*c_0101_3^5 - 82644/55207*c_0101_3^4 + 298962/55207*c_0101_3^3 + 52272/55207*c_0101_3^2 + 3148/55207*c_0101_3 - 5966/55207, c_0101_0 + 11272/55207*c_0101_3^9 - 1552/55207*c_0101_3^8 - 163676/55207*c_0101_3^7 - 87781/55207*c_0101_3^6 + 415581/55207*c_0101_3^5 + 657461/55207*c_0101_3^4 + 382467/55207*c_0101_3^3 - 132616/55207*c_0101_3^2 - 177697/55207*c_0101_3 - 19624/55207, c_0101_1 + 55952/55207*c_0101_3^9 + 45740/55207*c_0101_3^8 - 581362/55207*c_0101_3^7 - 451753/55207*c_0101_3^6 + 999119/55207*c_0101_3^5 + 1822601/55207*c_0101_3^4 + 1124457/55207*c_0101_3^3 - 114869/55207*c_0101_3^2 - 277558/55207*c_0101_3 - 59090/55207, c_0101_2 + 23864/55207*c_0101_3^9 + 18656/55207*c_0101_3^8 - 204368/55207*c_0101_3^7 - 72293/55207*c_0101_3^6 + 236034/55207*c_0101_3^5 + 282915/55207*c_0101_3^4 + 118440/55207*c_0101_3^3 - 197540/55207*c_0101_3^2 - 71683/55207*c_0101_3 - 3148/55207, c_0101_3^10 + 7/2*c_0101_3^9 - 7/4*c_0101_3^8 - 15*c_0101_3^7 - 20*c_0101_3^6 - 11*c_0101_3^5 + 3/2*c_0101_3^4 + 17/4*c_0101_3^3 + 3/2*c_0101_3^2 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB