Magma V2.19-8 Tue Aug 20 2013 23:59:08 on localhost [Seed = 1511797554] Type ? for help. Type -D to quit. Loading file "K13n1357__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n1357 geometric_solution 12.08438134 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 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 -1 0 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 1.248968944513 0.791039771582 0 2 6 5 0132 2310 0132 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 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 1.248968944513 0.791039771582 6 0 3 1 1302 0132 0213 3201 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 1 0 -1 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 0.804448024625 0.413629807157 7 2 8 0 0132 0213 0132 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 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.256646532074 0.823007051848 9 8 0 10 0132 0132 0132 0132 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 -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 0.325726406686 0.901955875381 10 8 1 9 3201 3201 0132 3201 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 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 0.325726406686 0.901955875381 11 2 8 1 0132 2031 3201 0132 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 0 0 0 0 0 0 0.256646532074 0.823007051848 3 12 10 11 0132 0132 3201 0213 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 -1 0 0 0 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.487878365710 0.445455183095 6 4 5 3 2310 0132 2310 0132 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 0 0.388175558636 0.688914908309 4 5 12 11 0132 2310 1230 0132 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 -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 0.632923787672 0.873818481435 7 12 4 5 2310 1230 0132 2310 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 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 0.632923787672 0.873818481435 6 12 9 7 0132 1023 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.487878365710 0.445455183095 11 7 10 9 1023 0132 3012 3012 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 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 0.592798980619 1.279855280713 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_12'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : negation(d['c_0101_8']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : negation(d['c_0101_8']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : d['c_1001_10'], 'c_1010_12' : negation(d['c_0101_10']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : d['c_0101_12'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_9' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_5'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_0011_5'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : negation(d['c_1001_10']), 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0101_8']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_12'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_0011_5'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1001_10']), 's_1_7' : 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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_3']), 'c_0110_10' : negation(d['c_0101_0']), 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : negation(d['c_0101_12']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_3, c_0101_8, c_1001_10, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 3173491797883658597/2252024624564224*c_1001_2^21 - 1695299244825690085/563006156141056*c_1001_2^20 - 6272922981422389083/1126012312282112*c_1001_2^19 + 43730840784582047467/2252024624564224*c_1001_2^18 + 2210651458829203039/1126012312282112*c_1001_2^17 - 117765037765399064663/2252024624564224*c_1001_2^16 + 80443398089238346937/2252024624564224*c_1001_2^15 + 151222322278917070965/2252024624564224*c_1001_2^14 - 103546775391505766257/1126012312282112*c_1001_2^13 - 2771880713113945893/35187884758816*c_1001_2^12 + 538665063300875805897/2252024624564224*c_1001_2^11 - 80531920529021213397/1126012312282112*c_1001_2^10 - 233587034664161384967/1126012312282112*c_1001_2^9 + 215684421036248799357/2252024624564224*c_1001_2^8 + 3621709997185744511/16559004592384*c_1001_2^7 - 376731626016780576767/2252024624564224*c_1001_2^6 - 9830951980602018583/97914114111488*c_1001_2^5 + 345081880901906599109/2252024624564224*c_1001_2^4 - 70699953218273436027/2252024624564224*c_1001_2^3 - 24116475044507317805/563006156141056*c_1001_2^2 + 84957301116101520541/2252024624564224*c_1001_2 - 19988324556627325885/2252024624564224, c_0011_0 - 1, c_0011_10 - 268206049/1392996388*c_1001_2^21 + 1263930973/1392996388*c_1001_2^20 + 70118401/2785992776*c_1001_2^19 - 3544710745/696498194*c_1001_2^18 + 1725434696/348249097*c_1001_2^17 + 15605753217/1392996388*c_1001_2^16 - 57152558375/2785992776*c_1001_2^15 - 9339971983/1392996388*c_1001_2^14 + 3729426933/99499742*c_1001_2^13 - 15172348627/2785992776*c_1001_2^12 - 98300195851/1392996388*c_1001_2^11 + 48225694439/696498194*c_1001_2^10 + 28824662809/696498194*c_1001_2^9 - 214963464473/2785992776*c_1001_2^8 - 6096733127/163881928*c_1001_2^7 + 131169381309/1392996388*c_1001_2^\ 6 - 54952592/348249097*c_1001_2^5 - 90850764547/1392996388*c_1001_2^4 + 1566898462/49749871*c_1001_2^3 + 16237148897/1392996388*c_1001_2^2 - 23723887253/1392996388*c_1001_2 + 16992591881/2785992776, c_0011_11 - c_1001_2^2 + 1, c_0011_4 + 365227573/1392996388*c_1001_2^21 - 1907364567/2785992776*c_1001_2^20 - 1220696779/1392996388*c_1001_2^19 + 5888833417/1392996388*c_1001_2^18 - 276386240/348249097*c_1001_2^17 - 30173524943/2785992776*c_1001_2^16 + 14082618327/1392996388*c_1001_2^15 + 17074152071/1392996388*c_1001_2^14 - 9020901721/397998968*c_1001_2^13 - 16148630285/1392996388*c_1001_2^12 + 74410125753/1392996388*c_1001_2^11 - 9070042977/348249097*c_1001_2^10 - 118446596923/2785992776*c_1001_2^9 + 85764787877/2785992776*c_1001_2^8 + 1796284215/40970482*c_1001_2^7 - 31962299101/696498194*c_1001_2^6 - 5891952074/348249097*c_1001_2^5 + 26427677079/696498194*c_1001_2^4 - 601655710/49749871*c_1001_2^3 - 6831065009/696498194*c_1001_2^2 + 25505996499/2785992776*c_1001_2 - 809847511/348249097, c_0011_5 + 365227573/1392996388*c_1001_2^21 - 1907364567/2785992776*c_1001_2^20 - 1220696779/1392996388*c_1001_2^19 + 5888833417/1392996388*c_1001_2^18 - 276386240/348249097*c_1001_2^17 - 30173524943/2785992776*c_1001_2^16 + 14082618327/1392996388*c_1001_2^15 + 17074152071/1392996388*c_1001_2^14 - 9020901721/397998968*c_1001_2^13 - 16148630285/1392996388*c_1001_2^12 + 74410125753/1392996388*c_1001_2^11 - 9070042977/348249097*c_1001_2^10 - 118446596923/2785992776*c_1001_2^9 + 85764787877/2785992776*c_1001_2^8 + 1796284215/40970482*c_1001_2^7 - 31962299101/696498194*c_1001_2^6 - 5891952074/348249097*c_1001_2^5 + 26427677079/696498194*c_1001_2^4 - 601655710/49749871*c_1001_2^3 - 6831065009/696498194*c_1001_2^2 + 25505996499/2785992776*c_1001_2 - 809847511/348249097, c_0101_0 + 1446862815/2785992776*c_1001_2^21 - 540817621/696498194*c_1001_2^20 - 6964360681/2785992776*c_1001_2^19 + 1898864202/348249097*c_1001_2^18 + 11053089485/2785992776*c_1001_2^17 - 22345962295/1392996388*c_1001_2^16 + 9052593737/2785992776*c_1001_2^15 + 69048812321/2785992776*c_1001_2^14 - 870062127/49749871*c_1001_2^13 - 103188614269/2785992776*c_1001_2^12 + 43173976189/696498194*c_1001_2^11 + 24909279187/2785992776*c_1001_2^10 - 174974992349/2785992776*c_1001_2^9 - 11283340347/2785992776*c_1001_2^8 + 11275137385/163881928*c_1001_2^7 - 6167238050/348249097*c_1001_2^6 - 26934421421/696498194*c_1001_2^5 + 10301524923/348249097*c_1001_2^4 + 415585215/198999484*c_1001_2^3 - 32215115195/2785992776*c_1001_2^2 + 4286088491/696498194*c_1001_2 - 3649259617/2785992776, c_0101_1 - 1446862815/2785992776*c_1001_2^21 + 540817621/696498194*c_1001_2^20 + 6964360681/2785992776*c_1001_2^19 - 1898864202/348249097*c_1001_2^18 - 11053089485/2785992776*c_1001_2^17 + 22345962295/1392996388*c_1001_2^16 - 9052593737/2785992776*c_1001_2^15 - 69048812321/2785992776*c_1001_2^14 + 870062127/49749871*c_1001_2^13 + 103188614269/2785992776*c_1001_2^12 - 43173976189/696498194*c_1001_2^11 - 24909279187/2785992776*c_1001_2^10 + 174974992349/2785992776*c_1001_2^9 + 11283340347/2785992776*c_1001_2^8 - 11275137385/163881928*c_1001_2^7 + 6167238050/348249097*c_1001_2^6 + 26934421421/696498194*c_1001_2^5 - 10301524923/348249097*c_1001_2^4 - 415585215/198999484*c_1001_2^3 + 32215115195/2785992776*c_1001_2^2 - 4286088491/696498194*c_1001_2 + 3649259617/2785992776, c_0101_10 + 803826077/2785992776*c_1001_2^21 - 571056173/696498194*c_1001_2^20 - 2621881489/2785992776*c_1001_2^19 + 1755047183/348249097*c_1001_2^18 - 3168909267/2785992776*c_1001_2^17 - 18070150803/1392996388*c_1001_2^16 + 33849202747/2785992776*c_1001_2^15 + 41534511359/2785992776*c_1001_2^14 - 2708520879/99499742*c_1001_2^13 - 38836806825/2785992776*c_1001_2^12 + 88787318631/1392996388*c_1001_2^11 - 84835589877/2785992776*c_1001_2^10 - 147220326679/2785992776*c_1001_2^9 + 100982049751/2785992776*c_1001_2^8 + 9027739149/163881928*c_1001_2^7 - 37487247725/696498194*c_1001_2^6 - 7925624299/348249097*c_1001_2^5 + 59662283937/1392996388*c_1001_2^4 - 2368472805/198999484*c_1001_2^3 - 28877133741/2785992776*c_1001_2^2 + 8013003185/696498194*c_1001_2 - 8621364709/2785992776, c_0101_12 - 803826077/2785992776*c_1001_2^21 + 571056173/696498194*c_1001_2^20 + 2621881489/2785992776*c_1001_2^19 - 1755047183/348249097*c_1001_2^18 + 3168909267/2785992776*c_1001_2^17 + 18070150803/1392996388*c_1001_2^16 - 33849202747/2785992776*c_1001_2^15 - 41534511359/2785992776*c_1001_2^14 + 2708520879/99499742*c_1001_2^13 + 38836806825/2785992776*c_1001_2^12 - 88787318631/1392996388*c_1001_2^11 + 84835589877/2785992776*c_1001_2^10 + 147220326679/2785992776*c_1001_2^9 - 100982049751/2785992776*c_1001_2^8 - 9027739149/163881928*c_1001_2^7 + 37487247725/696498194*c_1001_2^6 + 7925624299/348249097*c_1001_2^5 - 59662283937/1392996388*c_1001_2^4 + 2368472805/198999484*c_1001_2^3 + 28877133741/2785992776*c_1001_2^2 - 8013003185/696498194*c_1001_2 + 8621364709/2785992776, c_0101_3 - 659191081/1392996388*c_1001_2^21 + 1117669695/1392996388*c_1001_2^20 + 2984229401/1392996388*c_1001_2^19 - 1896029832/348249097*c_1001_2^18 - 3679979949/1392996388*c_1001_2^17 + 21542842089/1392996388*c_1001_2^16 - 8178026429/1392996388*c_1001_2^15 - 31094456165/1392996388*c_1001_2^14 + 4085298495/198999484*c_1001_2^13 + 43248919339/1392996388*c_1001_2^12 - 44187384809/696498194*c_1001_2^11 + 3386304879/1392996388*c_1001_2^10 + 20921837800/348249097*c_1001_2^9 - 2650954293/348249097*c_1001_2^8 - 5316590899/81940964*c_1001_2^7 + 19263470459/696498194*c_1001_2^6 + 23992299973/696498194*c_1001_2^5 - 23265853633/696498194*c_1001_2^4 + 116748761/49749871*c_1001_2^3 + 15185688387/1392996388*c_1001_2^2 - 10559597907/1392996388*c_1001_2 + 2818632857/1392996388, c_0101_8 + c_1001_2, c_1001_10 - 1007863671/1392996388*c_1001_2^21 + 1355886715/696498194*c_1001_2^20 + 6133449985/2785992776*c_1001_2^19 - 16587552515/1392996388*c_1001_2^18 + 4963553747/1392996388*c_1001_2^17 + 20766857219/696498194*c_1001_2^16 - 88619157051/2785992776*c_1001_2^15 - 21844315505/696498194*c_1001_2^14 + 13541572379/198999484*c_1001_2^13 + 69897396407/2785992776*c_1001_2^12 - 106704479841/696498194*c_1001_2^11 + 62106952225/696498194*c_1001_2^10 + 78916756673/696498194*c_1001_2^9 - 292466828599/2785992776*c_1001_2^8 - 18698133231/163881928*c_1001_2^7 + 203352896051/1392996388*c_1001_2^6 + 50322704561/1392996388*c_1001_2^5 - 158705105757/1392996388*c_1001_2^4 + 8175533095/198999484*c_1001_2^3 + 8129465236/348249097*c_1001_2^2 - 20894012747/696498194*c_1001_2 + 28613054235/2785992776, c_1001_2^22 - 3*c_1001_2^21 - 2*c_1001_2^20 + 17*c_1001_2^19 - 11*c_1001_2^18 - 37*c_1001_2^17 + 58*c_1001_2^16 + 22*c_1001_2^15 - 105*c_1001_2^14 + 6*c_1001_2^13 + 213*c_1001_2^12 - 205*c_1001_2^11 - 88*c_1001_2^10 + 195*c_1001_2^9 + 81*c_1001_2^8 - 251*c_1001_2^7 + 48*c_1001_2^6 + 164*c_1001_2^5 - 126*c_1001_2^4 - 3*c_1001_2^3 + 53*c_1001_2^2 - 32*c_1001_2 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.610 Total time: 1.810 seconds, Total memory usage: 32.09MB