Magma V2.19-8 Tue Aug 20 2013 16:14:36 on localhost [Seed = 2193825412] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s582 geometric_solution 5.04637014 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1302 2031 0132 0132 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 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 0.511589174863 0.426058772542 3 4 2 0 0132 0132 2031 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 0.633023415992 0.633456022603 4 3 0 1 2310 3201 0132 1302 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 -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 0.633023415992 0.633456022603 1 5 2 5 0132 0132 2310 1023 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 -1 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 0.960872129442 1.058408111885 4 1 2 4 3012 0132 3201 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.210679407124 0.789860012584 5 3 5 3 2031 0132 1302 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.491650969475 0.201667421556 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : 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_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_5' : negation(d['c_0011_1']), 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0101_1'], 'c_0101_5' : negation(d['c_0011_1']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_1']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0101_1, c_0101_2, c_0101_4, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 695887835321/301252809*c_0110_5^13 + 1181753304333/200835206*c_0110_5^12 + 7492690784561/200835206*c_0110_5^11 - 70537667079151/602505618*c_0110_5^10 + 1079433246911/2882802*c_0110_5^9 - 454762751086763/602505618*c_0110_5^8 + 490604608927285/602505618*c_0110_5^7 - 36950229309262/100417603*c_0110_5^6 - 1658946976795/2882802*c_0110_5^5 + 19949960128271/23173293*c_0110_5^4 - 36144181625759/100417603*c_0110_5^3 + 3381089928407/602505618*c_0110_5^2 + 1594088721893/54773238*c_0110_5 - 1020777561117/200835206, c_0011_0 - 1, c_0011_1 - 16629302/8529*c_0110_5^13 + 42398650/8529*c_0110_5^12 + 89509588/2843*c_0110_5^11 - 281184110/2843*c_0110_5^10 + 898870589/2843*c_0110_5^9 - 1812497623/2843*c_0110_5^8 + 1955525663/2843*c_0110_5^7 - 2647419028/8529*c_0110_5^6 - 4151128441/8529*c_0110_5^5 + 6212108540/8529*c_0110_5^4 - 2591718292/8529*c_0110_5^3 + 10445799/2843*c_0110_5^2 + 213503749/8529*c_0110_5 - 36971201/8529, c_0101_1 - 6780633/2843*c_0110_5^13 + 17295217/2843*c_0110_5^12 + 328437901/8529*c_0110_5^11 - 1032248564/8529*c_0110_5^10 + 3299508088/8529*c_0110_5^9 - 6654375764/8529*c_0110_5^8 + 7181530642/8529*c_0110_5^7 - 3242845901/8529*c_0110_5^6 - 5077164365/8529*c_0110_5^5 + 2534922235/2843*c_0110_5^4 - 1058280764/2843*c_0110_5^3 + 38870783/8529*c_0110_5^2 + 261488060/8529*c_0110_5 - 45294658/8529, c_0101_2 - 1924634485/1782561*c_0110_5^13 + 1645123163/594187*c_0110_5^12 + 10339380987/594187*c_0110_5^11 - 32703769051/594187*c_0110_5^10 + 499744748/2843*c_0110_5^9 - 211135152435/594187*c_0110_5^8 + 228861020273/594187*c_0110_5^7 - 313319671370/1782561*c_0110_5^6 - 763521928/2843*c_0110_5^5 + 726725509309/1782561*c_0110_5^4 - 102469885770/594187*c_0110_5^3 + 1676742148/594187*c_0110_5^2 + 2293639318/162051*c_0110_5 - 1478112434/594187, c_0101_4 - 1113606793/594187*c_0110_5^13 + 8577428660/1782561*c_0110_5^12 + 53824980626/1782561*c_0110_5^11 - 170491510489/1782561*c_0110_5^10 + 2604128035/8529*c_0110_5^9 - 1100804785060/1782561*c_0110_5^8 + 1193904199361/1782561*c_0110_5^7 - 545310351094/1782561*c_0110_5^6 - 1325528240/2843*c_0110_5^5 + 421421959171/594187*c_0110_5^4 - 534870707999/1782561*c_0110_5^3 + 8585788735/1782561*c_0110_5^2 + 3990013424/162051*c_0110_5 - 2566222950/594187, c_0110_5^14 - 3*c_0110_5^13 - 15*c_0110_5^12 + 58*c_0110_5^11 - 185*c_0110_5^10 + 400*c_0110_5^9 - 500*c_0110_5^8 + 318*c_0110_5^7 + 178*c_0110_5^6 - 486*c_0110_5^5 + 324*c_0110_5^4 - 72*c_0110_5^3 - 12*c_0110_5^2 + 8*c_0110_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB