Magma V2.19-8 Tue Aug 20 2013 16:16:05 on localhost [Seed = 2901225571] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0342 geometric_solution 4.36738142 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 2310 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 -1 0 1 -1 0 0 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 -0.583308816486 0.112438120262 0 0 2 2 0132 3201 2310 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 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 4.283636276594 1.371937989466 3 1 1 4 0132 3201 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 -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 -0.452629608512 0.826284254539 2 4 6 5 0132 2310 0132 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 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 0.305310451350 0.396555165957 5 6 2 3 3120 3012 0132 3201 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 0 0 0 0 0 0 0 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.305310451350 0.396555165957 6 6 3 4 1302 0213 0132 3120 0 0 0 0 0 -1 1 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 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 0.579385109423 0.428717804046 4 5 5 3 1230 2031 0213 0132 0 0 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 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 1.166056052920 1.188519478512 ==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' : negation(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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0011_4'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_6']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0110_4']), 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_6' : negation(d['c_0110_4']), 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : negation(d['c_0011_6']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0110_4'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_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_2, c_0011_4, c_0011_5, c_0011_6, c_0101_1, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 193436959/2469012*c_0110_4^12 - 5567869/2469012*c_0110_4^11 + 34467717/31654*c_0110_4^10 - 212741023/617253*c_0110_4^9 + 3177327233/617253*c_0110_4^8 - 1706780057/823004*c_0110_4^7 + 7642873487/1234506*c_0110_4^6 - 433921493/352716*c_0110_4^5 - 2984031364/617253*c_0110_4^4 - 1597335429/823004*c_0110_4^3 + 3845079769/2469012*c_0110_4^2 + 487194844/617253*c_0110_4 - 1207471/64974, c_0011_0 - 1, c_0011_2 - 1244869/6584032*c_0110_4^12 - 42299/6584032*c_0110_4^11 - 1352611/506464*c_0110_4^10 + 4333779/6584032*c_0110_4^9 - 42716487/3292016*c_0110_4^8 + 28002971/6584032*c_0110_4^7 - 28794391/1646008*c_0110_4^6 + 269371/117572*c_0110_4^5 + 28015229/3292016*c_0110_4^4 + 15520703/3292016*c_0110_4^3 - 5244339/6584032*c_0110_4^2 + 1025223/6584032*c_0110_4 - 4422545/6584032, c_0011_4 - 1074/205751*c_0110_4^12 - 14243/1646008*c_0110_4^11 - 3033/31654*c_0110_4^10 - 204377/1646008*c_0110_4^9 - 129882/205751*c_0110_4^8 - 587729/823004*c_0110_4^7 - 2753357/1646008*c_0110_4^6 - 476507/235144*c_0110_4^5 - 2046533/1646008*c_0110_4^4 - 4457911/1646008*c_0110_4^3 + 1342703/1646008*c_0110_4^2 + 161719/823004*c_0110_4 + 372091/1646008, c_0011_5 - c_0110_4, c_0011_6 - 1316981/6584032*c_0110_4^12 + 114411/6584032*c_0110_4^11 - 1418359/506464*c_0110_4^10 + 6768345/6584032*c_0110_4^9 - 44322771/3292016*c_0110_4^8 + 39255847/6584032*c_0110_4^7 - 56916281/3292016*c_0110_4^6 + 1754273/470288*c_0110_4^5 + 18208599/1646008*c_0110_4^4 + 2985807/823004*c_0110_4^3 - 20904761/6584032*c_0110_4^2 + 724431/6584032*c_0110_4 - 400363/6584032, c_0101_1 + 49701/1646008*c_0110_4^12 - 103473/3292016*c_0110_4^11 + 15837/31654*c_0110_4^10 - 1962197/3292016*c_0110_4^9 + 668982/205751*c_0110_4^8 - 3011929/823004*c_0110_4^7 + 29381927/3292016*c_0110_4^6 - 3524281/470288*c_0110_4^5 + 24580511/3292016*c_0110_4^4 - 12040677/3292016*c_0110_4^3 - 2652203/3292016*c_0110_4^2 - 365317/1646008*c_0110_4 + 2157851/3292016, c_0110_4^13 + 14*c_0110_4^11 - 4*c_0110_4^10 + 67*c_0110_4^9 - 25*c_0110_4^8 + 85*c_0110_4^7 - 16*c_0110_4^6 - 54*c_0110_4^5 - 28*c_0110_4^4 + 13*c_0110_4^3 + 8*c_0110_4^2 + 2*c_0110_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB