Magma V2.19-8 Tue Aug 20 2013 16:16:47 on localhost [Seed = 3414841090] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1064 geometric_solution 4.93574878 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 2310 2031 0 0 0 0 0 -1 0 1 -1 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.501014160168 0.510144402975 0 0 3 2 0132 3201 0132 0132 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.944635404442 2.953436544455 3 3 1 4 1023 2031 0132 0132 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 -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 0.260888279890 0.740921688888 2 2 4 1 1302 1023 2310 0132 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 -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 0.260888279890 0.740921688888 5 3 2 5 0132 3201 0132 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 1 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 0.331133755567 0.217665601883 4 6 6 4 0132 0132 3201 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 -1 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 0 1.115522923315 0.689867505781 5 5 6 6 2310 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.855806216669 0.547186268073 ==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_6'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], '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' : negation(d['c_0101_6']), 'c_1001_4' : d['c_0011_2'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 36 Groebner basis: [ t + 8528656641203450/19800322435093*c_0101_5*c_0101_6^17 - 58170106813568376/19800322435093*c_0101_5*c_0101_6^16 - 147349256709857664/19800322435093*c_0101_5*c_0101_6^15 + 565314046791725751/19800322435093*c_0101_5*c_0101_6^14 + 1353071389824436612/19800322435093*c_0101_5*c_0101_6^13 - 1359711219783657762/19800322435093*c_0101_5*c_0101_6^12 - 4480296803139855881/19800322435093*c_0101_5*c_0101_6^11 + 1028542356592826353/19800322435093*c_0101_5*c_0101_6^10 + 7686927863401582437/19800322435093*c_0101_5*c_0101_6^9 + 1004756661982901473/19800322435093*c_0101_5*c_0101_6^8 - 7682839429998383272/19800322435093*c_0101_5*c_0101_6^7 - 3031000420832254378/19800322435093*c_0101_5*c_0101_6^6 + 4253521678947232716/19800322435093*c_0101_5*c_0101_6^5 + 2855988511016331729/19800322435093*c_0101_5*c_0101_6^4 - 932012926769098978/19800322435093*c_0101_5*c_0101_6^3 - 1084303868728940085/19800322435093*c_0101_5*c_0101_6^2 - 57380785748312437/19800322435093*c_0101_5*c_0101_6 + 86378095023764829/19800322435093*c_0101_5, c_0011_0 - 1, c_0011_2 - 3025951584499/19800322435093*c_0101_5*c_0101_6^17 + 17939587221191/19800322435093*c_0101_5*c_0101_6^16 + 70983285067350/19800322435093*c_0101_5*c_0101_6^15 - 154067730786114/19800322435093*c_0101_5*c_0101_6^14 - 678916127110597/19800322435093*c_0101_5*c_0101_6^13 + 57731836032116/19800322435093*c_0101_5*c_0101_6^12 + 2204502236389340/19800322435093*c_0101_5*c_0101_6^11 + 1134532179038110/19800322435093*c_0101_5*c_0101_6^10 - 3624569856145253/19800322435093*c_0101_5*c_0101_6^9 - 3087674461826861/19800322435093*c_0101_5*c_0101_6^8 + 3428440994841382/19800322435093*c_0101_5*c_0101_6^7 + 3997045539994338/19800322435093*c_0101_5*c_0101_6^6 - 1668143371963439/19800322435093*c_0101_5*c_0101_6^5 - 2816797048309340/19800322435093*c_0101_5*c_0101_6^4 + 110957281058286/19800322435093*c_0101_5*c_0101_6^3 + 923269299372652/19800322435093*c_0101_5*c_0101_6^2 + 165271565018672/19800322435093*c_0101_5*c_0101_6 - 69167450118357/19800322435093*c_0101_5, c_0011_4 + 17916607133326/19800322435093*c_0101_6^17 - 143364403726577/19800322435093*c_0101_6^16 - 143195740081126/19800322435093*c_0101_6^15 + 1378806512782991/19800322435093*c_0101_6^14 + 1251961673110760/19800322435093*c_0101_6^13 - 4545586801220427/19800322435093*c_0101_6^12 - 4372975452100115/19800322435093*c_0101_6^11 + 7903866908459933/19800322435093*c_0101_6^10 + 7811609765167322/19800322435093*c_0101_6^9 - 7923570793131158/19800322435093*c_0101_6^8 - 8333093311004104/19800322435093*c_0101_6^7 + 4070108415153764/19800322435093*c_0101_6^6 + 5496219798404148/19800322435093*c_0101_6^5 - 614908953589562/19800322435093*c_0101_6^4 - 1924509721873402/19800322435093*c_0101_6^3 - 101973150822463/19800322435093*c_0101_6^2 + 178252486749390/19800322435093*c_0101_6 - 23247150199401/19800322435093, c_0101_0 - 23011416896825/19800322435093*c_0101_6^17 + 181282624961708/19800322435093*c_0101_6^16 + 209175119945871/19800322435093*c_0101_6^15 - 1769747996363081/19800322435093*c_0101_6^14 - 1829486087326607/19800322435093*c_0101_6^13 + 5827777336601617/19800322435093*c_0101_6^12 + 6357298994941779/19800322435093*c_0101_6^11 - 10082268246979361/19800322435093*c_0101_6^10 - 11352101191845207/19800322435093*c_0101_6^9 + 10113956802352247/19800322435093*c_0101_6^8 + 12063332803847523/19800322435093*c_0101_6^7 - 5237716868599506/19800322435093*c_0101_6^6 - 7874470146273631/19800322435093*c_0101_6^5 + 791350594242093/19800322435093*c_0101_6^4 + 2758472264125376/19800322435093*c_0101_6^3 + 102822811611582/19800322435093*c_0101_6^2 - 299470082800095/19800322435093*c_0101_6 + 38942407253661/19800322435093, c_0101_1 - 19702153343875/19800322435093*c_0101_5*c_0101_6^17 + 136390987068965/19800322435093*c_0101_5*c_0101_6^16 + 320891265132485/19800322435093*c_0101_5*c_0101_6^15 - 1297975691553092/19800322435093*c_0101_5*c_0101_6^14 - 2920621482683826/19800322435093*c_0101_5*c_0101_6^13 + 3062289897701253/19800322435093*c_0101_5*c_0101_6^12 + 9406084061159800/19800322435093*c_0101_5*c_0101_6^11 - 2390932312355254/19800322435093*c_0101_5*c_0101_6^10 - 15665996146119972/19800322435093*c_0101_5*c_0101_6^9 - 1857550987593094/19800322435093*c_0101_5*c_0101_6^8 + 15172233321752783/19800322435093*c_0101_5*c_0101_6^7 + 6024945950835743/19800322435093*c_0101_5*c_0101_6^6 - 8052510487908209/19800322435093*c_0101_5*c_0101_6^5 - 5485028300190212/19800322435093*c_0101_5*c_0101_6^4 + 1579027128136314/19800322435093*c_0101_5*c_0101_6^3 + 1894357254543618/19800322435093*c_0101_5*c_0101_6^2 + 176059799577561/19800322435093*c_0101_5*c_0101_6 - 112696159967572/19800322435093*c_0101_5, c_0101_5^2 - 17948153793295/19800322435093*c_0101_6^17 + 143469974052090/19800322435093*c_0101_6^16 + 142560620583497/19800322435093*c_0101_6^15 - 1363862968354836/19800322435093*c_0101_6^14 - 1248931088688443/19800322435093*c_0101_6^13 + 4406162043229625/19800322435093*c_0101_6^12 + 4266795660394755/19800322435093*c_0101_6^11 - 7542922548093060/19800322435093*c_0101_6^10 - 7457739007664682/19800322435093*c_0101_6^9 + 7469354180589428/19800322435093*c_0101_6^8 + 7796762698885572/19800322435093*c_0101_6^7 - 3838332518058698/19800322435093*c_0101_6^6 - 5058227522654410/19800322435093*c_0101_6^5 + 655481705325542/19800322435093*c_0101_6^4 + 1743437383910115/19800322435093*c_0101_6^3 + 15119307247689/19800322435093*c_0101_6^2 - 184496614399335/19800322435093*c_0101_6 + 17916607133326/19800322435093, c_0101_6^18 - 7*c_0101_6^17 - 16*c_0101_6^16 + 69*c_0101_6^15 + 146*c_0101_6^14 - 184*c_0101_6^13 - 490*c_0101_6^12 + 203*c_0101_6^11 + 857*c_0101_6^10 - 26*c_0101_6^9 - 882*c_0101_6^8 - 208*c_0101_6^7 + 521*c_0101_6^6 + 248*c_0101_6^5 - 144*c_0101_6^4 - 103*c_0101_6^3 + 8*c_0101_6^2 + 9*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.250 seconds, Total memory usage: 32.09MB