Magma V2.19-8 Tue Aug 20 2013 16:16:55 on localhost [Seed = 2934911602] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1167 geometric_solution 5.04254922 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 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 1 -1 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 -0.310332175275 0.377822898796 0 1 0 1 0132 2310 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.611191947867 1.292946756335 3 4 5 0 1230 0132 0132 0132 0 0 0 0 0 1 0 -1 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 -1 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 1.388808052133 1.292946756335 4 2 0 5 2310 3012 0132 3201 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.388808052133 1.292946756335 4 2 3 4 3012 0132 3201 1230 0 0 0 0 0 -1 0 1 -1 0 0 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 1 0 -1 1 0 0 -1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.298832364776 0.632165292872 6 3 6 2 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.625167649875 0.965267373500 5 5 6 6 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.369863246766 0.218344838850 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : 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_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(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' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_5'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_5']), 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_2'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0011_2'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_2']), 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0011_2'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : d['c_0011_2'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_2']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_2']), 'c_1010_0' : negation(d['c_0011_2'])})} 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_5, c_0101_1, c_0101_2, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 597916601055443/3992631326604*c_0101_5^9 + 2492209171052267/7985262653208*c_0101_5^8 + 18815708717285095/11977893979812*c_0101_5^7 + 13590732505836617/23955787959624*c_0101_5^6 - 121314674839742495/11977893979812*c_0101_5^5 - 191697602504750395/7985262653208*c_0101_5^4 - 48923669170633937/1996315663302*c_0101_5^3 - 30392381551194745/5988946989906*c_0101_5^2 - 2608145005091981/2994473494953*c_0101_5 - 1539075172664067/887251405912, c_0011_0 - 1, c_0011_2 + 249171224601/1774502811824*c_0101_1*c_0101_5^9 - 593448277707/1774502811824*c_0101_1*c_0101_5^8 - 2430646721471/1774502811824*c_0101_1*c_0101_5^7 - 224994022167/1774502811824*c_0101_1*c_0101_5^6 + 16806909553727/1774502811824*c_0101_1*c_0101_5^5 + 34927898914263/1774502811824*c_0101_1*c_0101_5^4 + 7735743238571/443625702956*c_0101_1*c_0101_5^3 + 184271737913/887251405912*c_0101_1*c_0101_5^2 + 2478623659173/1774502811824*c_0101_1*c_0101_5 + 2591941713935/1774502811824*c_0101_1, c_0011_5 - 2997343008/110906425739*c_0101_5^9 + 19571980185/221812851478*c_0101_5^8 + 23618931240/110906425739*c_0101_5^7 - 57390095991/221812851478*c_0101_5^6 - 198047661971/110906425739*c_0101_5^5 - 423737355937/221812851478*c_0101_5^4 - 1452706114/110906425739*c_0101_5^3 + 207204907128/110906425739*c_0101_5^2 - 200449560075/110906425739*c_0101_5 + 17248620279/221812851478, c_0101_1^2 + 11058988113/110906425739*c_0101_5^9 - 27831633726/110906425739*c_0101_5^8 - 100434604890/110906425739*c_0101_5^7 - 13194086686/110906425739*c_0101_5^6 + 740807019937/110906425739*c_0101_5^5 + 1490757426454/110906425739*c_0101_5^4 + 1348518683332/110906425739*c_0101_5^3 - 49767704196/110906425739*c_0101_5^2 + 71449850460/110906425739*c_0101_5 - 28385465734/110906425739, c_0101_2 + 21500415543/443625702956*c_0101_5^9 - 15122022675/110906425739*c_0101_5^8 - 174585859319/443625702956*c_0101_5^7 + 14643963767/221812851478*c_0101_5^6 + 1366789765617/443625702956*c_0101_5^5 + 612305390377/110906425739*c_0101_5^4 + 1079166816621/221812851478*c_0101_5^3 + 53720254459/110906425739*c_0101_5^2 + 813364392731/443625702956*c_0101_5 + 72941703669/221812851478, c_0101_4 + 8289031023/110906425739*c_0101_5^9 - 51344027091/221812851478*c_0101_5^8 - 64195627122/110906425739*c_0101_5^7 + 84099935973/221812851478*c_0101_5^6 + 544774433433/110906425739*c_0101_5^5 + 1578395654755/221812851478*c_0101_5^4 + 345507138832/110906425739*c_0101_5^3 - 518053846784/110906425739*c_0101_5^2 + 98161806112/110906425739*c_0101_5 - 58358356461/221812851478, c_0101_5^10 - 2*c_0101_5^9 - 32/3*c_0101_5^8 - 14/3*c_0101_5^7 + 202/3*c_0101_5^6 + 166*c_0101_5^5 + 177*c_0101_5^4 + 142/3*c_0101_5^3 + 25/3*c_0101_5^2 + 12*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB