Magma V2.19-8 Tue Aug 20 2013 16:16:04 on localhost [Seed = 1494795671] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0321 geometric_solution 4.35467010 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 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 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 1.478118757665 0.074939729317 0 2 2 0 3201 0132 1023 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 1 -1 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 1.276116937254 0.117689321369 3 1 1 4 0132 0132 1023 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 -1 1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.463451317687 0.842121921104 2 5 6 4 0132 0132 0132 2031 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 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 -0.085735478012 0.624853239262 5 3 2 6 3012 1302 0132 3120 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 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 -0.085735478012 0.624853239262 6 3 6 4 2031 0132 0213 1230 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 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 0.421796001753 0.429961755516 4 5 5 3 3120 0213 1302 0132 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 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 -0.162680383876 1.185189278412 ==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_0011_6'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : d['c_0011_1'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0101_2'], '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_4, c_0011_6, c_0101_0, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 10056783725/131273583*c_0101_3^9 - 7385186126/43757861*c_0101_3^8 - 5599620863/131273583*c_0101_3^7 + 97605429002/43757861*c_0101_3^6 - 521888042504/131273583*c_0101_3^5 + 325993541341/131273583*c_0101_3^4 + 125284282867/131273583*c_0101_3^3 + 89566033787/43757861*c_0101_3^2 + 40985126774/43757861*c_0101_3 + 43742234828/131273583, c_0011_0 - 1, c_0011_1 + 2518144/6251123*c_0101_3^9 - 5702318/6251123*c_0101_3^8 - 1161283/6251123*c_0101_3^7 + 73465953/6251123*c_0101_3^6 - 134918286/6251123*c_0101_3^5 + 87163665/6251123*c_0101_3^4 + 26899985/6251123*c_0101_3^3 + 67321023/6251123*c_0101_3^2 + 28225082/6251123*c_0101_3 + 5687361/6251123, c_0011_4 + 1334358/6251123*c_0101_3^9 - 2532793/6251123*c_0101_3^8 - 1891793/6251123*c_0101_3^7 + 39270639/6251123*c_0101_3^6 - 57242347/6251123*c_0101_3^5 + 14553461/6251123*c_0101_3^4 + 45037386/6251123*c_0101_3^3 + 34761811/6251123*c_0101_3^2 + 24560384/6251123*c_0101_3 + 5802736/6251123, c_0011_6 - 1334358/6251123*c_0101_3^9 + 2532793/6251123*c_0101_3^8 + 1891793/6251123*c_0101_3^7 - 39270639/6251123*c_0101_3^6 + 57242347/6251123*c_0101_3^5 - 14553461/6251123*c_0101_3^4 - 45037386/6251123*c_0101_3^3 - 34761811/6251123*c_0101_3^2 - 24560384/6251123*c_0101_3 - 5802736/6251123, c_0101_0 + 1405801/6251123*c_0101_3^9 - 2851589/6251123*c_0101_3^8 - 1330617/6251123*c_0101_3^7 + 40567096/6251123*c_0101_3^6 - 65365005/6251123*c_0101_3^5 + 33067805/6251123*c_0101_3^4 + 19516216/6251123*c_0101_3^3 + 49895419/6251123*c_0101_3^2 + 21644443/6251123*c_0101_3 + 9952745/6251123, c_0101_2 - 511101/6251123*c_0101_3^9 + 1795305/6251123*c_0101_3^8 - 1041452/6251123*c_0101_3^7 - 15640471/6251123*c_0101_3^6 + 46221058/6251123*c_0101_3^5 - 47294529/6251123*c_0101_3^4 + 5235214/6251123*c_0101_3^3 + 8469284/6251123*c_0101_3^2 + 3327080/6251123*c_0101_3 + 4711697/6251123, c_0101_3^10 - 2*c_0101_3^9 - c_0101_3^8 + 29*c_0101_3^7 - 46*c_0101_3^6 + 22*c_0101_3^5 + 19*c_0101_3^4 + 29*c_0101_3^3 + 18*c_0101_3^2 + 7*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB