Magma V2.19-8 Tue Aug 20 2013 16:19:00 on localhost [Seed = 341150076] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3149 geometric_solution 6.30456077 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 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 0.365903888093 0.188041495417 2 0 3 0 0132 2310 0132 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 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 0.472121888446 0.923017663183 1 4 5 6 0132 0132 0132 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 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 0.582231064055 1.117097594767 6 5 4 1 1023 1023 3201 0132 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 0 0 0 0 0 0 0 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.582231064055 1.117097594767 3 2 4 4 2310 0132 1230 3012 0 0 0 0 0 -1 0 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 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 0.197414448758 1.411342457843 3 5 5 2 1023 1230 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 -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 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.815861164647 0.553295041773 6 3 2 6 3201 1023 0132 2310 0 0 0 0 0 0 1 -1 0 0 0 0 1 -1 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.723987268595 0.756357276527 ==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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0101_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], '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_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_3'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : negation(d['c_0101_1']), 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_3, c_0101_0, c_0101_1, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 9558928/483*c_0101_4^19 - 351883778/161*c_0101_4^17 + 2208589197/161*c_0101_4^15 + 28750638659/483*c_0101_4^13 + 41828970041/483*c_0101_4^11 + 30808127855/483*c_0101_4^9 + 1813092088/69*c_0101_4^7 + 981570948/161*c_0101_4^5 + 358613498/483*c_0101_4^3 + 17832517/483*c_0101_4, c_0011_0 - 1, c_0011_1 - c_0101_4^18 + 110*c_0101_4^16 - 645*c_0101_4^14 - 3308*c_0101_4^12 - 5701*c_0101_4^10 - 5185*c_0101_4^8 - 2805*c_0101_4^6 - 934*c_0101_4^4 - 188*c_0101_4^2 - 18, c_0011_3 + 63321/23*c_0101_4^19 - 6984474/23*c_0101_4^17 + 42955882/23*c_0101_4^15 + 196465656/23*c_0101_4^13 + 301531935/23*c_0101_4^11 + 237045729/23*c_0101_4^9 + 105837543/23*c_0101_4^7 + 27074610/23*c_0101_4^5 + 3693477/23*c_0101_4^3 + 208206/23*c_0101_4, c_0101_0 + 126619/23*c_0101_4^19 - 13966418/23*c_0101_4^17 + 85896929/23*c_0101_4^15 + 392855228/23*c_0101_4^13 + 602932747/23*c_0101_4^11 + 473972203/23*c_0101_4^9 + 211610571/23*c_0101_4^7 + 54127738/23*c_0101_4^5 + 7382630/23*c_0101_4^3 + 415975/23*c_0101_4, c_0101_1 - 16*c_0101_4^18 + 1761*c_0101_4^16 - 10430*c_0101_4^14 - 52283*c_0101_4^12 - 87908*c_0101_4^10 - 77259*c_0101_4^8 - 39695*c_0101_4^6 - 12139*c_0101_4^4 - 2074*c_0101_4^2 - 153, c_0101_3 - 44134/23*c_0101_4^18 + 4868107/23*c_0101_4^16 - 29940835/23*c_0101_4^14 - 136928486/23*c_0101_4^12 - 210127156/23*c_0101_4^10 - 165148612/23*c_0101_4^8 - 73705824/23*c_0101_4^6 - 18842257/23*c_0101_4^4 - 2567641/23*c_0101_4^2 - 144471/23, c_0101_4^20 - 110*c_0101_4^18 + 645*c_0101_4^16 + 3308*c_0101_4^14 + 5701*c_0101_4^12 + 5185*c_0101_4^10 + 2805*c_0101_4^8 + 934*c_0101_4^6 + 188*c_0101_4^4 + 21*c_0101_4^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB