Magma V2.19-8 Tue Aug 20 2013 23:47:46 on localhost [Seed = 896753496] Type ? for help. Type -D to quit. Loading file "L11n168__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n168 geometric_solution 11.20636594 oriented_manifold CS_known -0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 0 1 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 1 0 -1 -1 0 1 0 3 -2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.722078766482 0.895464794871 0 5 7 6 0132 0132 0132 0132 1 1 1 0 0 0 0 0 1 0 -1 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 1 0 -1 0 0 0 0 0 -3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.492647752813 0.699100036902 7 0 9 8 0132 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 -1 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 -1 1 0 0 0 -2 2 2 0 0 -2 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.494794494363 1.629596422505 10 11 4 0 0132 0132 0213 0132 1 1 1 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 1 -1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.974874182520 0.514013639548 9 3 0 8 0132 0213 0132 1230 1 1 1 0 0 0 0 0 1 0 0 -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 1 -1 2 0 0 -2 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.356783056231 0.586877955447 7 1 6 10 1023 0132 3012 0321 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 0 0 0 0 0 0 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 -0.270288989477 0.945954011210 10 5 1 9 2103 1230 0132 0132 1 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 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 0.995793618348 0.663265424031 2 5 8 1 0132 1023 0132 0132 1 1 0 1 0 0 0 0 0 0 -1 1 -1 0 0 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 -1 1 2 0 0 -2 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.157043923755 0.585982904442 4 11 2 7 3012 0213 0132 0132 1 1 1 1 0 0 0 0 0 0 -1 1 1 0 0 -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 1 0 -2 1 2 0 0 -2 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.350981159941 0.910510173707 4 11 6 2 0132 0321 0132 0132 1 1 0 1 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 0 1 -1 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.563177814521 0.788928246657 3 5 6 11 0132 0321 2103 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.637752356953 0.666268323705 10 3 8 9 3120 0132 0213 0321 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 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 0.532347643972 0.522754602927 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : d['c_0011_6'], 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_8'], 'c_0101_10' : d['c_0101_0'], '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_2_7' : 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_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : d['c_1100_1'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_5'], 'c_1100_10' : negation(d['c_0011_8']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_0101_7'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_6']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0101_5'], 'c_1100_8' : d['c_1100_1'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : 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'], '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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_4'], 'c_0110_10' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_8'], 'c_0101_8' : d['c_0101_7'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_7'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0011_8'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_8']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_5, c_0101_7, c_1001_0, c_1001_2, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 6795904376/3264057*c_1100_1^10 + 9929548900/3264057*c_1100_1^9 - 7107457486/3264057*c_1100_1^8 - 54574743152/3264057*c_1100_1^7 + 103194017345/6528114*c_1100_1^6 + 5221226629/362673*c_1100_1^5 - 65581061333/6528114*c_1100_1^4 - 64631546603/2176038*c_1100_1^3 + 272116607959/6528114*c_1100_1^2 - 22045009589/1088019*c_1100_1 + 3921846605/1088019, c_0011_0 - 1, c_0011_10 - 422630/40297*c_1100_1^10 - 605358/40297*c_1100_1^9 + 1123285/80594*c_1100_1^8 + 14637583/161188*c_1100_1^7 - 6231525/80594*c_1100_1^6 - 14269539/161188*c_1100_1^5 + 3653951/80594*c_1100_1^4 + 13332827/80594*c_1100_1^3 - 8032762/40297*c_1100_1^2 + 13422703/161188*c_1100_1 - 933767/80594, c_0011_4 - 1434440/120891*c_1100_1^10 - 2315876/120891*c_1100_1^9 + 986306/120891*c_1100_1^8 + 11441566/120891*c_1100_1^7 - 5857667/80594*c_1100_1^6 - 9418010/120891*c_1100_1^5 + 9698987/241782*c_1100_1^4 + 19136822/120891*c_1100_1^3 - 25932893/120891*c_1100_1^2 + 13069991/120891*c_1100_1 - 1585643/80594, c_0011_6 - 2348296/40297*c_1100_1^10 - 3506040/40297*c_1100_1^9 + 2448922/40297*c_1100_1^8 + 19324361/40297*c_1100_1^7 - 16674917/40297*c_1100_1^6 - 34228775/80594*c_1100_1^5 + 20095921/80594*c_1100_1^4 + 34043929/40297*c_1100_1^3 - 89924753/80594*c_1100_1^2 + 21058741/40297*c_1100_1 - 3566454/40297, c_0011_8 + 1161456/40297*c_1100_1^10 + 1742000/40297*c_1100_1^9 - 1226376/40297*c_1100_1^8 - 9615342/40297*c_1100_1^7 + 8232299/40297*c_1100_1^6 + 17753103/80594*c_1100_1^5 - 9732251/80594*c_1100_1^4 - 17264675/40297*c_1100_1^3 + 43921119/80594*c_1100_1^2 - 9791867/40297*c_1100_1 + 1549594/40297, c_0101_0 - 1, c_0101_1 + 3324826/120891*c_1100_1^10 + 5534362/120891*c_1100_1^9 - 4736435/241782*c_1100_1^8 - 110074745/483564*c_1100_1^7 + 12497569/80594*c_1100_1^6 + 104494507/483564*c_1100_1^5 - 17896609/241782*c_1100_1^4 - 96624245/241782*c_1100_1^3 + 55032697/120891*c_1100_1^2 - 91366867/483564*c_1100_1 + 1122436/40297, c_0101_5 - 658928/40297*c_1100_1^10 - 698564/40297*c_1100_1^9 + 1243220/40297*c_1100_1^8 + 5350145/40297*c_1100_1^7 - 14277837/80594*c_1100_1^6 - 7909793/80594*c_1100_1^5 + 5481876/40297*c_1100_1^4 + 19248627/80594*c_1100_1^3 - 16930096/40297*c_1100_1^2 + 9283540/40297*c_1100_1 - 1798599/40297, c_0101_7 - 525236/40297*c_1100_1^10 - 630744/40297*c_1100_1^9 + 850719/40297*c_1100_1^8 + 8538079/80594*c_1100_1^7 - 10272609/80594*c_1100_1^6 - 7035511/80594*c_1100_1^5 + 3775634/40297*c_1100_1^4 + 7866906/40297*c_1100_1^3 - 24852349/80594*c_1100_1^2 + 6229996/40297*c_1100_1 - 1085228/40297, c_1001_0 - 369860/40297*c_1100_1^10 - 130992/40297*c_1100_1^9 + 1321811/40297*c_1100_1^8 + 6508735/80594*c_1100_1^7 - 12098287/80594*c_1100_1^6 - 4669547/80594*c_1100_1^5 + 5060516/40297*c_1100_1^4 + 6280985/40297*c_1100_1^3 - 25206315/80594*c_1100_1^2 + 7117430/40297*c_1100_1 - 1427634/40297, c_1001_2 - 285334/40297*c_1100_1^10 - 203346/40297*c_1100_1^9 + 1451837/80594*c_1100_1^8 + 8993875/161188*c_1100_1^7 - 4055893/40297*c_1100_1^6 - 6017741/161188*c_1100_1^5 + 6875709/80594*c_1100_1^4 + 8734851/80594*c_1100_1^3 - 17818441/80594*c_1100_1^2 + 19934055/161188*c_1100_1 - 935317/40297, c_1100_1^11 + c_1100_1^10 - 7/4*c_1100_1^9 - 61/8*c_1100_1^8 + 45/4*c_1100_1^7 + 29/8*c_1100_1^6 - 8*c_1100_1^5 - 49/4*c_1100_1^4 + 53/2*c_1100_1^3 - 149/8*c_1100_1^2 + 6*c_1100_1 - 3/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.330 seconds, Total memory usage: 32.09MB