Magma V2.19-8 Tue Aug 20 2013 16:19:00 on localhost [Seed = 1781266178] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3148 geometric_solution 6.30407807 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 -1 -1 2 1 0 -2 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 0 1 -1 0 0 1 -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 0.629316779538 1.104473390075 0 3 4 2 0132 0132 0132 1302 0 0 0 0 0 0 0 0 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.479500766102 0.612760393670 3 0 1 5 2310 0132 2031 0132 0 0 0 0 0 1 -1 0 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 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 0.479500766102 0.612760393670 6 1 2 6 0132 0132 3201 1023 0 0 0 0 0 0 1 -1 1 0 -1 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 -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 0.155218902799 0.624508788486 5 5 5 1 1302 3012 0132 0132 0 0 0 1 0 0 0 0 0 0 1 -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 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 0.575353997518 0.568324016144 4 4 2 4 1230 2031 0132 0132 0 0 1 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 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 0.575353997518 0.568324016144 3 6 6 3 0132 3201 2310 1023 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 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 1.644291885252 0.658964735291 ==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_2_6' : negation(d['1']), 's_1_6' : negation(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_6' : 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_6' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : d['c_0101_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0011_4'], '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_6' : negation(d['c_0011_0']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0011_4'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 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, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 7098/11*c_0101_6^12 + 48118/11*c_0101_6^11 - 127706/11*c_0101_6^10 - 189226/11*c_0101_6^9 + 460763/11*c_0101_6^8 + 238124/11*c_0101_6^7 - 603230/11*c_0101_6^6 - 149702/11*c_0101_6^5 + 344041/11*c_0101_6^4 + 47321/11*c_0101_6^3 - 87603/11*c_0101_6^2 - 5886/11*c_0101_6 + 8309/11, c_0011_0 - 1, c_0011_4 - 1, c_0101_0 + 104*c_0101_6^12 + 656*c_0101_6^11 - 2184*c_0101_6^10 - 1782*c_0101_6^9 + 7560*c_0101_6^8 + 292*c_0101_6^7 - 8904*c_0101_6^6 + 1007*c_0101_6^5 + 4635*c_0101_6^4 - 516*c_0101_6^3 - 1108*c_0101_6^2 + 68*c_0101_6 + 99, c_0101_1 - 22*c_0101_6^12 - 136*c_0101_6^11 + 480*c_0101_6^10 + 322*c_0101_6^9 - 1659*c_0101_6^8 + 133*c_0101_6^7 + 1932*c_0101_6^6 - 453*c_0101_6^5 - 996*c_0101_6^4 + 231*c_0101_6^3 + 239*c_0101_6^2 - 34*c_0101_6 - 22, c_0101_2 + 24*c_0101_6^12 + 148*c_0101_6^11 - 526*c_0101_6^10 - 344*c_0101_6^9 + 1818*c_0101_6^8 - 172*c_0101_6^7 - 2115*c_0101_6^6 + 531*c_0101_6^5 + 1089*c_0101_6^4 - 276*c_0101_6^3 - 261*c_0101_6^2 + 44*c_0101_6 + 24, c_0101_3 + 2*c_0101_6^12 + 12*c_0101_6^11 - 46*c_0101_6^10 - 22*c_0101_6^9 + 159*c_0101_6^8 - 39*c_0101_6^7 - 183*c_0101_6^6 + 78*c_0101_6^5 + 93*c_0101_6^4 - 45*c_0101_6^3 - 22*c_0101_6^2 + 10*c_0101_6 + 2, c_0101_6^13 + 6*c_0101_6^12 - 23*c_0101_6^11 - 11*c_0101_6^10 + 159/2*c_0101_6^9 - 39/2*c_0101_6^8 - 183/2*c_0101_6^7 + 39*c_0101_6^6 + 93/2*c_0101_6^5 - 45/2*c_0101_6^4 - 11*c_0101_6^3 + 11/2*c_0101_6^2 + c_0101_6 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB