Magma V2.19-8 Tue Aug 20 2013 16:16:01 on localhost [Seed = 1511769759] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0268 geometric_solution 4.31507655 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.785579404119 1.211281914353 0 3 2 2 0132 0132 0132 1302 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.141701969527 0.800487622053 3 0 1 1 3201 0132 2031 0132 0 0 0 0 0 1 0 -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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.141701969527 0.800487622053 4 1 4 2 0132 0132 2310 2310 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 0 0 0 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 0.746314210967 1.439577697431 3 3 5 5 0132 3201 3201 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 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 0.202112687744 0.174040714028 4 6 4 6 2310 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 -4.760893397578 2.818266220094 5 5 6 6 3201 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.114720595623 0.042928398207 ==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' : d['c_0110_6'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : negation(d['c_0101_2']), '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' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : negation(d['c_0011_5']), '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' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : negation(d['c_0101_1']), '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' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0101_1']), '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_5, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 262382/16981*c_0110_6^8 + 1255361/16981*c_0110_6^7 - 3364183/16981*c_0110_6^6 - 317601/16981*c_0110_6^5 + 9366236/16981*c_0110_6^4 - 5565358/16981*c_0110_6^3 - 2885086/16981*c_0110_6^2 + 1231186/16981*c_0110_6 - 171575/16981, c_0011_0 - 1, c_0011_5 + 4789/16981*c_0110_6^8 + 24337/16981*c_0110_6^7 - 52891/16981*c_0110_6^6 - 15637/16981*c_0110_6^5 + 149715/16981*c_0110_6^4 - 52463/16981*c_0110_6^3 - 35043/16981*c_0110_6^2 - 17773/16981*c_0110_6 - 5129/16981, c_0101_0 - 24592/16981*c_0101_2*c_0110_6^8 - 119406/16981*c_0101_2*c_0110_6^7 + 306364/16981*c_0101_2*c_0110_6^6 + 48573/16981*c_0101_2*c_0110_6^5 - 871911/16981*c_0101_2*c_0110_6^4 + 467232/16981*c_0101_2*c_0110_6^3 + 282775/16981*c_0101_2*c_0110_6^2 - 98670/16981*c_0101_2*c_0110_6 + 4875/16981*c_0101_2, c_0101_1 - 12901/16981*c_0110_6^8 - 58753/16981*c_0110_6^7 + 181426/16981*c_0110_6^6 - 11815/16981*c_0110_6^5 - 475763/16981*c_0110_6^4 + 359249/16981*c_0110_6^3 + 126917/16981*c_0110_6^2 - 83704/16981*c_0110_6 + 981/16981, c_0101_2^2 + 392/16981*c_0110_6^8 + 4577/16981*c_0110_6^7 + 8308/16981*c_0110_6^6 - 32267/16981*c_0110_6^5 + 9794/16981*c_0110_6^4 + 75104/16981*c_0110_6^3 - 63488/16981*c_0110_6^2 - 19496/16981*c_0110_6 + 4789/16981, c_0101_3 + 7772/16981*c_0110_6^8 + 37897/16981*c_0110_6^7 - 95541/16981*c_0110_6^6 - 15431/16981*c_0110_6^5 + 265224/16981*c_0110_6^4 - 142857/16981*c_0110_6^3 - 61413/16981*c_0110_6^2 + 17887/16981*c_0110_6 - 17160/16981, c_0110_6^9 + 5*c_0110_6^8 - 12*c_0110_6^7 - 5*c_0110_6^6 + 38*c_0110_6^5 - 13*c_0110_6^4 - 23*c_0110_6^3 + 6*c_0110_6^2 + 3*c_0110_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB