Magma V2.19-8 Wed Aug 21 2013 00:48:20 on localhost [Seed = 1124423663] Type ? for help. Type -D to quit. Loading file "K14n8961__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n8961 geometric_solution 11.55403764 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2031 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 1 -1 0 0 15 -15 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.087886565232 0.558203925382 0 0 4 2 0132 1302 0132 1302 0 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 0 0 0 0 0 0 0 0 15 -15 0 0 0 14 -14 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.724765887468 1.748125684619 3 0 1 5 0321 0132 2031 0132 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 -15 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.045737843223 0.791012446032 2 6 5 0 0321 0132 0132 0132 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 1 0 -1 15 0 0 -15 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.413541964940 1.231278775579 7 8 9 1 0132 0132 0132 0132 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 -15 15 14 0 0 -14 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.101773312260 1.485467880984 9 10 2 3 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.126393322786 1.453458658224 9 3 11 12 0213 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 1 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 0.485897607386 1.090735034980 4 9 8 12 0132 0132 1023 2310 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 15 -15 0 -14 0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.517147147673 0.429525630523 11 4 7 11 0321 0132 1023 3012 0 0 0 0 0 0 1 -1 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 -14 14 -14 0 15 -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 0.567183110336 1.221261380311 6 7 5 4 0213 0132 2103 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 -15 0 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.514382730548 0.420510745674 12 5 12 11 3012 0132 0213 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.164035423033 0.515759789375 8 10 8 6 0321 0321 1230 0132 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 1 -1 -1 0 1 0 -1 0 0 1 14 0 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.257811745417 0.727456657971 7 10 6 10 3201 0213 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.677892966107 0.434281396874 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_1001_10'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0101_11']), 'c_1001_7' : negation(d['c_0101_11']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_0101_1'], 'c_1010_12' : d['c_0011_12'], 'c_1010_11' : d['c_1001_0'], 'c_1010_10' : d['c_1001_0'], '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_11'], 'c_0101_10' : d['c_0011_12'], 's_2_0' : negation(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_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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0011_12']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1010_1']), 'c_1100_4' : d['c_0101_2'], 'c_1100_7' : d['c_0011_12'], 'c_1100_6' : negation(d['c_0011_11']), 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : negation(d['c_1010_1']), 'c_1100_3' : negation(d['c_1010_1']), 'c_1100_2' : negation(d['c_1010_1']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_2'], 'c_1100_11' : negation(d['c_0011_11']), 'c_1100_10' : d['c_0011_12'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1010_1'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : negation(d['c_0101_11']), '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_0011_11']), 's_1_7' : 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' : 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' : d['c_0011_4'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0110_6' : d['c_0101_12'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_4'], 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0101_12'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0101_7' : d['c_0101_1'], 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : negation(d['c_0101_12']), 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : negation(d['c_0011_3']), 'c_0101_8' : negation(d['c_0101_11']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_12']), 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : negation(d['c_0101_12']), 'c_0011_10' : d['c_0011_10']})} 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_12, c_0011_3, c_0011_4, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_1001_0, c_1001_10, c_1010_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 23 Groebner basis: [ t - 569353384685850685/1681901032052648*c_1010_1^22 + 9859278710276106279/1681901032052648*c_1010_1^21 - 179046827085145350941/3363802064105296*c_1010_1^20 + 3003522308290931044/9140766478547*c_1010_1^19 - 1285296135830891986745/840950516026324*c_1010_1^18 + 9503173595032546053093/1681901032052648*c_1010_1^17 - 5240484329862795873501/305800187645936*c_1010_1^16 + 18293156736217049202795/420475258013162*c_1010_1^15 - 349283618335903130967/3729270581048*c_1010_1^14 + 289935707455113957921131/1681901032052648*c_1010_1^13 - 916638624759292185610705/3363802064105296*c_1010_1^12 + 155790992647127676898361/420475258013162*c_1010_1^11 - 363867466506374000862585/840950516026324*c_1010_1^10 + 726461348077047785736965/1681901032052648*c_1010_1^9 - 53420541856122898074943/146252263656752*c_1010_1^8 + 216715258525927156224297/840950516026324*c_1010_1^7 - 248662802127031480296929/1681901032052648*c_1010_1^6 + 2702549441945143306697/41021976391528*c_1010_1^5 - 69655545653800091785915/3363802064105296*c_1010_1^4 + 706318643421646399126/210237629006581*c_1010_1^3 + 162200673152637353099/420475258013162*c_1010_1^2 - 526107022116119869941/1681901032052648*c_1010_1 + 140215779657275368927/3363802064105296, c_0011_0 - 1, c_0011_10 - c_1010_1^4 + 3*c_1010_1^3 - 6*c_1010_1^2 + 5*c_1010_1 - 2, c_0011_11 - 51922633/976760236*c_1010_1^22 + 882651503/976760236*c_1010_1^21 - 3923958301/488380118*c_1010_1^20 + 47366735547/976760236*c_1010_1^19 - 107554966657/488380118*c_1010_1^18 + 193848858670/244190059*c_1010_1^17 - 2289974825153/976760236*c_1010_1^16 + 1413243865947/244190059*c_1010_1^15 - 11815835209319/976760236*c_1010_1^14 + 21080693819981/976760236*c_1010_1^13 - 16121479725389/488380118*c_1010_1^12 + 42328727863965/976760236*c_1010_1^11 - 11901083050539/244190059*c_1010_1^10 + 22804079201673/488380118*c_1010_1^9 - 36836166781167/976760236*c_1010_1^8 + 12317050909907/488380118*c_1010_1^7 - 13223178473987/976760236*c_1010_1^6 + 5372458882845/976760236*c_1010_1^5 - 359124283484/244190059*c_1010_1^4 + 124267760317/976760236*c_1010_1^3 + 35270388605/488380118*c_1010_1^2 - 6699416837/244190059*c_1010_1 + 2205170513/976760236, c_0011_12 + 10723/976760236*c_1010_1^22 - 14786075/976760236*c_1010_1^21 + 58817793/244190059*c_1010_1^20 - 1966497079/976760236*c_1010_1^19 + 2789215926/244190059*c_1010_1^18 - 11891132062/244190059*c_1010_1^17 + 160611731847/976760236*c_1010_1^16 - 221551211223/488380118*c_1010_1^15 + 1018337494173/976760236*c_1010_1^14 - 1973736191013/976760236*c_1010_1^13 + 812685639691/244190059*c_1010_1^12 - 4568343573487/976760236*c_1010_1^11 + 2742849673619/488380118*c_1010_1^10 - 1405918597049/244190059*c_1010_1^9 + 4906609552505/976760236*c_1010_1^8 - 905783123473/244190059*c_1010_1^7 + 2243752469137/976760236*c_1010_1^6 - 1147587923895/976760236*c_1010_1^5 + 235534583849/488380118*c_1010_1^4 - 144055229485/976760236*c_1010_1^3 + 6297239045/244190059*c_1010_1^2 + 1149231655/488380118*c_1010_1 - 1850506983/976760236, c_0011_3 - c_1010_1^2 + c_1010_1 - 1, c_0011_4 + 10723/976760236*c_1010_1^22 - 14786075/976760236*c_1010_1^21 + 58817793/244190059*c_1010_1^20 - 1966497079/976760236*c_1010_1^19 + 2789215926/244190059*c_1010_1^18 - 11891132062/244190059*c_1010_1^17 + 160611731847/976760236*c_1010_1^16 - 221551211223/488380118*c_1010_1^15 + 1018337494173/976760236*c_1010_1^14 - 1973736191013/976760236*c_1010_1^13 + 812685639691/244190059*c_1010_1^12 - 4568343573487/976760236*c_1010_1^11 + 2742849673619/488380118*c_1010_1^10 - 1405918597049/244190059*c_1010_1^9 + 4906609552505/976760236*c_1010_1^8 - 905783123473/244190059*c_1010_1^7 + 2243752469137/976760236*c_1010_1^6 - 1147587923895/976760236*c_1010_1^5 + 235534583849/488380118*c_1010_1^4 - 144055229485/976760236*c_1010_1^3 + 6297239045/244190059*c_1010_1^2 + 1149231655/488380118*c_1010_1 - 1850506983/976760236, c_0101_1 + 51922633/244190059*c_1010_1^22 - 882651503/244190059*c_1010_1^21 + 7847916602/244190059*c_1010_1^20 - 47366735547/244190059*c_1010_1^19 + 215109933314/244190059*c_1010_1^18 - 775395434680/244190059*c_1010_1^17 + 2289974825153/244190059*c_1010_1^16 - 5652975463788/244190059*c_1010_1^15 + 11815835209319/244190059*c_1010_1^14 - 42161631830021/488380118*c_1010_1^13 + 32244180401073/244190059*c_1010_1^12 - 42335320995558/244190059*c_1010_1^11 + 95256281465817/488380118*c_1010_1^10 - 45671159438568/244190059*c_1010_1^9 + 73926535413753/488380118*c_1010_1^8 - 24833360907958/244190059*c_1010_1^7 + 26934004495797/488380118*c_1010_1^6 - 5603706868718/244190059*c_1010_1^5 + 3204848558053/488380118*c_1010_1^4 - 209978471026/244190059*c_1010_1^3 - 86627171263/488380118*c_1010_1^2 + 47490583221/488380118*c_1010_1 - 6119671439/488380118, c_0101_11 - 51922633/976760236*c_1010_1^22 + 882651503/976760236*c_1010_1^21 - 3923958301/488380118*c_1010_1^20 + 47366735547/976760236*c_1010_1^19 - 107554966657/488380118*c_1010_1^18 + 193848858670/244190059*c_1010_1^17 - 2289974825153/976760236*c_1010_1^16 + 1413243865947/244190059*c_1010_1^15 - 11815835209319/976760236*c_1010_1^14 + 21080693819981/976760236*c_1010_1^13 - 16121479725389/488380118*c_1010_1^12 + 42328727863965/976760236*c_1010_1^11 - 11901083050539/244190059*c_1010_1^10 + 22804079201673/488380118*c_1010_1^9 - 36836166781167/976760236*c_1010_1^8 + 12317050909907/488380118*c_1010_1^7 - 13223178473987/976760236*c_1010_1^6 + 5372458882845/976760236*c_1010_1^5 - 359124283484/244190059*c_1010_1^4 + 124267760317/976760236*c_1010_1^3 + 35270388605/488380118*c_1010_1^2 - 6699416837/244190059*c_1010_1 + 2205170513/976760236, c_0101_12 - 66526417/976760236*c_1010_1^22 + 1130896563/976760236*c_1010_1^21 - 5019068091/488380118*c_1010_1^20 + 60434669143/976760236*c_1010_1^19 - 136809912407/488380118*c_1010_1^18 + 245727239940/244190059*c_1010_1^17 - 2891948089673/976760236*c_1010_1^16 + 1777632370790/244190059*c_1010_1^15 - 14800473244615/976760236*c_1010_1^14 + 26292910894319/976760236*c_1010_1^13 - 20022289009883/488380118*c_1010_1^12 + 52361279201217/976760236*c_1010_1^11 - 29345468273911/488380118*c_1010_1^10 + 28058900868927/488380118*c_1010_1^9 - 45350072833089/976760236*c_1010_1^8 + 15245442713661/488380118*c_1010_1^7 - 16609318662385/976760236*c_1010_1^6 + 6989069050245/976760236*c_1010_1^5 - 1025537934909/488380118*c_1010_1^4 + 293452079473/976760236*c_1010_1^3 + 11908110317/244190059*c_1010_1^2 - 15469324503/488380118*c_1010_1 + 4054787487/976760236, c_0101_2 - 33258/244190059*c_1010_1^22 + 44356872/244190059*c_1010_1^21 - 706023592/244190059*c_1010_1^20 + 5911421116/244190059*c_1010_1^19 - 33616645298/244190059*c_1010_1^18 + 143708072732/244190059*c_1010_1^17 - 486741101242/244190059*c_1010_1^16 + 1347380377130/244190059*c_1010_1^15 - 6216120553721/488380118*c_1010_1^14 + 12096342121971/488380118*c_1010_1^13 - 10001481230342/244190059*c_1010_1^12 + 28205054768833/488380118*c_1010_1^11 - 33908099005703/488380118*c_1010_1^10 + 34621963625117/488380118*c_1010_1^9 - 29768027730781/488380118*c_1010_1^8 + 21224318082469/488380118*c_1010_1^7 - 12219174275595/488380118*c_1010_1^6 + 5410864376517/488380118*c_1010_1^5 - 1659568550837/488380118*c_1010_1^4 + 246438349289/488380118*c_1010_1^3 + 19340384070/244190059*c_1010_1^2 - 11877234255/244190059*c_1010_1 + 2499485639/488380118, c_1001_0 + 51922633/244190059*c_1010_1^22 - 882651503/244190059*c_1010_1^21 + 7847916602/244190059*c_1010_1^20 - 47366735547/244190059*c_1010_1^19 + 215109933314/244190059*c_1010_1^18 - 775395434680/244190059*c_1010_1^17 + 2289974825153/244190059*c_1010_1^16 - 5652975463788/244190059*c_1010_1^15 + 11815835209319/244190059*c_1010_1^14 - 42161631830021/488380118*c_1010_1^13 + 32244180401073/244190059*c_1010_1^12 - 42335320995558/244190059*c_1010_1^11 + 95256281465817/488380118*c_1010_1^10 - 45671159438568/244190059*c_1010_1^9 + 73926535413753/488380118*c_1010_1^8 - 24833360907958/244190059*c_1010_1^7 + 26934004495797/488380118*c_1010_1^6 - 5603706868718/244190059*c_1010_1^5 + 3204848558053/488380118*c_1010_1^4 - 209978471026/244190059*c_1010_1^3 - 86627171263/488380118*c_1010_1^2 + 47490583221/488380118*c_1010_1 - 6119671439/488380118, c_1001_10 + c_1010_1^3 - 2*c_1010_1^2 + 3*c_1010_1 - 1, c_1010_1^23 - 18*c_1010_1^22 + 169*c_1010_1^21 - 1077*c_1010_1^20 + 5169*c_1010_1^19 - 19724*c_1010_1^18 + 61805*c_1010_1^17 - 162351*c_1010_1^16 + 362389*c_1010_1^15 - 693430*c_1010_1^14 + 1143493*c_1010_1^13 - 1628981*c_1010_1^12 + 2004251*c_1010_1^11 - 2123416*c_1010_1^10 + 1924891*c_1010_1^9 - 1476825*c_1010_1^8 + 942027*c_1010_1^7 - 484958*c_1010_1^6 + 190891*c_1010_1^5 - 50887*c_1010_1^4 + 5583*c_1010_1^3 + 1664*c_1010_1^2 - 745*c_1010_1 + 83 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 18.340 Total time: 18.539 seconds, Total memory usage: 106.38MB