Magma V2.19-8 Tue Aug 20 2013 16:19:27 on localhost [Seed = 1393741423] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3543 geometric_solution 6.92530603 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.359111547197 0.902423808759 0 5 2 6 0132 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.490070605599 1.038443520151 6 0 3 1 3120 0132 1023 3012 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 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 0.177872625981 0.944219562368 5 4 2 0 2103 3012 1023 0132 0 0 0 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 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 0.668948174926 1.129730159661 3 6 0 5 1230 3012 0132 0213 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 -1 1 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 0.611929921584 0.655378829155 6 1 3 4 1302 0132 2103 0213 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 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 0.359111547197 0.902423808759 4 5 1 2 1230 2031 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.807328101582 1.022780062990 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(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_0011_4'], 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : d['c_1001_1'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_1001_1'], 'c_1100_3' : d['c_1001_1'], 'c_1100_2' : negation(d['c_1001_1']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0011_6'])})} 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_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 3584365/3173*c_1001_1^6 + 10274903/12692*c_1001_1^5 - 2642890/3173*c_1001_1^4 - 8448167/6346*c_1001_1^3 + 1873891/12692*c_1001_1^2 + 7725773/12692*c_1001_1 - 499297/12692, c_0011_0 - 1, c_0011_3 - 9475/3173*c_1001_1^6 - 49705/12692*c_1001_1^5 - 1117/3173*c_1001_1^4 + 13291/3173*c_1001_1^3 + 22529/12692*c_1001_1^2 - 10335/12692*c_1001_1 - 2305/12692, c_0011_4 - 970/3173*c_1001_1^6 - 10347/6346*c_1001_1^5 - 10749/6346*c_1001_1^4 + 2435/6346*c_1001_1^3 - 94/3173*c_1001_1^2 + 2937/6346*c_1001_1 + 841/3173, c_0011_6 + 16820/3173*c_1001_1^6 + 10221/3173*c_1001_1^5 - 14883/6346*c_1001_1^4 - 22891/6346*c_1001_1^3 + 5975/6346*c_1001_1^2 + 3649/3173*c_1001_1 + 45/6346, c_0101_0 - c_1001_1, c_0101_1 + 9475/3173*c_1001_1^6 + 49705/12692*c_1001_1^5 + 1117/3173*c_1001_1^4 - 13291/3173*c_1001_1^3 - 22529/12692*c_1001_1^2 + 10335/12692*c_1001_1 + 2305/12692, c_1001_1^7 + 11/20*c_1001_1^6 - 3/4*c_1001_1^5 - c_1001_1^4 + 1/4*c_1001_1^3 + 2/5*c_1001_1^2 - 1/10*c_1001_1 + 1/20 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 15483547/19592377*c_1001_1^7 + 108960927/19592377*c_1001_1^6 - 802227607/39184754*c_1001_1^5 + 8113554909/39184754*c_1001_1^4 - 1496248930/19592377*c_1001_1^3 - 4723884601/19592377*c_1001_1^2 + 5332422817/39184754*c_1001_1 + 5170268912/19592377, c_0011_0 - 1, c_0011_3 - 181075/2798911*c_1001_1^7 - 15634/2798911*c_1001_1^6 - 11349653/5597822*c_1001_1^5 + 6754829/2798911*c_1001_1^4 + 6309407/5597822*c_1001_1^3 - 7248985/2798911*c_1001_1^2 - 5590531/5597822*c_1001_1 + 4649475/5597822, c_0011_4 + 15583/2798911*c_1001_1^7 - 72880/2798911*c_1001_1^6 + 788401/5597822*c_1001_1^5 - 5897171/5597822*c_1001_1^4 - 315379/2798911*c_1001_1^3 + 4216782/2798911*c_1001_1^2 - 3541901/5597822*c_1001_1 - 1527256/2798911, c_0011_6 - 2213/5597822*c_1001_1^7 - 41199/5597822*c_1001_1^6 - 21929/2798911*c_1001_1^5 - 578997/2798911*c_1001_1^4 + 2594935/5597822*c_1001_1^3 + 68966/2798911*c_1001_1^2 - 509497/2798911*c_1001_1 - 1638651/2798911, c_0101_0 + 18783/5597822*c_1001_1^7 + 8524/2798911*c_1001_1^6 + 222802/2798911*c_1001_1^5 - 146020/2798911*c_1001_1^4 - 2789522/2798911*c_1001_1^3 + 3515223/5597822*c_1001_1^2 + 6082591/5597822*c_1001_1 - 4044195/5597822, c_0101_1 - 173777/2798911*c_1001_1^7 - 152877/5597822*c_1001_1^6 - 5481499/2798911*c_1001_1^5 + 9062521/5597822*c_1001_1^4 + 4331379/2798911*c_1001_1^3 - 9717561/5597822*c_1001_1^2 - 8598207/5597822*c_1001_1 + 1659319/2798911, c_1001_1^8 + 31*c_1001_1^6 - 40*c_1001_1^5 - 24*c_1001_1^4 + 54*c_1001_1^3 + 24*c_1001_1^2 - 32*c_1001_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB