Magma V2.19-8 Tue Aug 20 2013 16:17:47 on localhost [Seed = 3987501327] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2016 geometric_solution 5.56312171 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.278030447225 0.190023265872 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 -1 0 1 0 -1 0 0 1 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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.270413179905 1.485522535284 1 4 5 3 0132 0132 0132 1230 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 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 0.775835852805 1.320255552239 2 5 4 1 3012 1023 3201 0132 0 0 0 0 0 0 0 0 0 0 1 -1 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 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 0.775835852805 1.320255552239 3 2 4 4 2310 0132 2031 1302 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 0 0 0 0 0 0.377635824951 0.407278546556 3 6 6 2 1023 0132 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 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 0.581438756689 0.437033789706 5 5 6 6 2310 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 0 -1 1 -1 0 0 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 1.605379235158 0.682251853374 ==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_0101_4'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_4'], '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_6'], '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_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(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_0101_6']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_4']), '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_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_6']), '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_3, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 11222728545/803778079*c_0101_6^19 - 667408284350/2411334237*c_0101_6^17 + 3584586706585/2411334237*c_0101_6^15 - 3793244005877/2411334237*c_0101_6^13 - 2746122333358/2411334237*c_0101_6^11 + 10404634869/803778079*c_0101_6^9 + 3685824458129/2411334237*c_0101_6^7 + 1207197186586/2411334237*c_0101_6^5 - 901371574070/2411334237*c_0101_6^3 - 474170652056/2411334237*c_0101_6, c_0011_0 - 1, c_0011_1 - 122090288/2411334237*c_0101_6^18 + 2461364419/2411334237*c_0101_6^16 - 13798531250/2411334237*c_0101_6^14 + 17906512205/2411334237*c_0101_6^12 + 1779637729/803778079*c_0101_6^10 + 3405301217/2411334237*c_0101_6^8 - 22538627282/2411334237*c_0101_6^6 - 3547291277/2411334237*c_0101_6^4 + 2777029003/2411334237*c_0101_6^2 + 533536942/803778079, c_0011_3 + 526093186/2411334237*c_0101_6^18 - 10461368015/2411334237*c_0101_6^16 + 56818223641/2411334237*c_0101_6^14 - 65830212952/2411334237*c_0101_6^12 - 7966961326/803778079*c_0101_6^10 - 6639291028/2411334237*c_0101_6^8 + 41495396737/2411334237*c_0101_6^6 + 5050304581/2411334237*c_0101_6^4 - 6390824318/2411334237*c_0101_6^2 - 79928098/803778079, c_0101_0 + 31011067/2411334237*c_0101_6^19 - 761035382/2411334237*c_0101_6^17 + 6327108913/2411334237*c_0101_6^15 - 21643773757/2411334237*c_0101_6^13 + 9692427816/803778079*c_0101_6^11 - 11832266911/2411334237*c_0101_6^9 + 4201990675/2411334237*c_0101_6^7 - 10157755067/2411334237*c_0101_6^5 + 6021298456/2411334237*c_0101_6^3 + 1149481406/803778079*c_0101_6, c_0101_3 - 372707305/2411334237*c_0101_6^19 + 2510704041/803778079*c_0101_6^17 - 14190682721/803778079*c_0101_6^15 + 58076611250/2411334237*c_0101_6^13 + 9945375071/2411334237*c_0101_6^11 - 6597330548/2411334237*c_0101_6^9 - 39768545153/2411334237*c_0101_6^7 + 86745574/803778079*c_0101_6^5 + 4593352910/803778079*c_0101_6^3 + 4987032910/2411334237*c_0101_6, c_0101_4 - 213639113/2411334237*c_0101_6^18 + 1342944899/803778079*c_0101_6^16 - 6254729863/803778079*c_0101_6^14 + 4067814727/2411334237*c_0101_6^12 + 32068682557/2411334237*c_0101_6^10 + 15794938844/2411334237*c_0101_6^8 - 8086185760/2411334237*c_0101_6^6 - 6199764914/803778079*c_0101_6^4 - 583097927/803778079*c_0101_6^2 + 1544389178/2411334237, c_0101_6^20 - 20*c_0101_6^18 + 110*c_0101_6^16 - 132*c_0101_6^14 - 59*c_0101_6^12 + 13*c_0101_6^10 + 106*c_0101_6^8 + 18*c_0101_6^6 - 31*c_0101_6^4 - 8*c_0101_6^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB