Magma V2.19-8 Tue Aug 20 2013 16:19:00 on localhost [Seed = 1916006170] 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' : d['1'], 's_1_6' : 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: 12 Groebner basis: [ t - 1966*c_0101_6^11 - 3308*c_0101_6^10 + 13546*c_0101_6^9 + 14237*c_0101_6^8 - 15432*c_0101_6^7 - 33296*c_0101_6^6 - 406*c_0101_6^5 + 31005*c_0101_6^4 + 3915*c_0101_6^3 - 11909*c_0101_6^2 - 842*c_0101_6 + 1569, c_0011_0 - 1, c_0011_4 - 1, c_0101_0 + 64*c_0101_6^11 + 88*c_0101_6^10 - 476*c_0101_6^9 - 338*c_0101_6^8 + 646*c_0101_6^7 + 988*c_0101_6^6 - 287*c_0101_6^5 - 1081*c_0101_6^4 + 80*c_0101_6^3 + 436*c_0101_6^2 - 16*c_0101_6 - 57, c_0101_1 + 18*c_0101_6^11 + 22*c_0101_6^10 - 138*c_0101_6^9 - 75*c_0101_6^8 + 199*c_0101_6^7 + 252*c_0101_6^6 - 127*c_0101_6^5 - 300*c_0101_6^4 + 69*c_0101_6^3 + 129*c_0101_6^2 - 18*c_0101_6 - 18, c_0101_2 - 16*c_0101_6^11 - 20*c_0101_6^10 + 122*c_0101_6^9 + 70*c_0101_6^8 - 174*c_0101_6^7 - 229*c_0101_6^6 + 105*c_0101_6^5 + 269*c_0101_6^4 - 52*c_0101_6^3 - 115*c_0101_6^2 + 12*c_0101_6 + 16, c_0101_3 + 2*c_0101_6^11 + 2*c_0101_6^10 - 16*c_0101_6^9 - 5*c_0101_6^8 + 25*c_0101_6^7 + 23*c_0101_6^6 - 22*c_0101_6^5 - 31*c_0101_6^4 + 17*c_0101_6^3 + 14*c_0101_6^2 - 6*c_0101_6 - 2, c_0101_6^12 + c_0101_6^11 - 8*c_0101_6^10 - 5/2*c_0101_6^9 + 25/2*c_0101_6^8 + 23/2*c_0101_6^7 - 11*c_0101_6^6 - 31/2*c_0101_6^5 + 17/2*c_0101_6^4 + 7*c_0101_6^3 - 7/2*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