Magma V2.19-8 Tue Aug 20 2013 16:18:57 on localhost [Seed = 1528481332] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3105 geometric_solution 6.26514111 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 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 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 0.793519452725 0.690256910135 0 4 4 5 0132 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.341912488680 0.686730435206 5 0 3 4 3201 0132 1023 1023 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 -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 0.395356047843 1.511919843034 5 0 2 0 0132 2310 1023 0132 0 0 0 0 0 0 1 -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 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 0.573998400104 0.320575970481 1 1 6 2 2310 0132 0132 1023 0 0 0 0 0 1 0 -1 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 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 0.184813901470 0.516321364227 3 6 1 2 0132 3201 0132 2310 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 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.303268312008 1.362166299150 6 6 5 4 1302 2031 2310 0132 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 -1 1 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 0.494622954118 1.268485144119 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : 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' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], '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_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : 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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_6'], 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : negation(d['c_0101_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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 523348775/708279*c_0101_4^14 + 1469089995/236093*c_0101_4^13 - 3272197906/708279*c_0101_4^12 - 25893518722/708279*c_0101_4^11 - 2698701886/708279*c_0101_4^10 + 39128715577/708279*c_0101_4^9 + 17281197451/708279*c_0101_4^8 - 3709487565/236093*c_0101_4^7 - 1118341166/708279*c_0101_4^6 - 1066633108/64389*c_0101_4^5 - 18219566182/708279*c_0101_4^4 + 2145585279/236093*c_0101_4^3 + 1049288075/64389*c_0101_4^2 - 690862240/708279*c_0101_4 - 2025483644/708279, c_0011_0 - 1, c_0011_3 - 1363553/1651*c_0101_4^14 + 11365818/1651*c_0101_4^13 - 7446583/1651*c_0101_4^12 - 69029248/1651*c_0101_4^11 - 11791285/1651*c_0101_4^10 + 105301431/1651*c_0101_4^9 + 52264870/1651*c_0101_4^8 - 30655525/1651*c_0101_4^7 - 5377136/1651*c_0101_4^6 - 29505839/1651*c_0101_4^5 - 50958067/1651*c_0101_4^4 + 15199749/1651*c_0101_4^3 + 33259102/1651*c_0101_4^2 - 1052130/1651*c_0101_4 - 6145040/1651, c_0011_6 - 780729/1651*c_0101_4^14 + 6505305/1651*c_0101_4^13 - 4242930/1651*c_0101_4^12 - 39543523/1651*c_0101_4^11 - 6860292/1651*c_0101_4^10 + 60293704/1651*c_0101_4^9 + 30062693/1651*c_0101_4^8 - 17508802/1651*c_0101_4^7 - 3087455/1651*c_0101_4^6 - 16868459/1651*c_0101_4^5 - 29232514/1651*c_0101_4^4 + 8641053/1651*c_0101_4^3 + 19066975/1651*c_0101_4^2 - 582689/1651*c_0101_4 - 3522443/1651, c_0101_0 + 2048897/1651*c_0101_4^14 - 17076520/1651*c_0101_4^13 + 11172049/1651*c_0101_4^12 + 103744742/1651*c_0101_4^11 + 17806823/1651*c_0101_4^10 - 158267166/1651*c_0101_4^9 - 78665770/1651*c_0101_4^8 + 46082186/1651*c_0101_4^7 + 8117658/1651*c_0101_4^6 + 44306179/1651*c_0101_4^5 + 76630470/1651*c_0101_4^4 - 22802225/1651*c_0101_4^3 - 50030998/1651*c_0101_4^2 + 1570496/1651*c_0101_4 + 9247718/1651, c_0101_1 + 1812439/1651*c_0101_4^14 - 15106551/1651*c_0101_4^13 + 9890116/1651*c_0101_4^12 + 91760127/1651*c_0101_4^11 + 15721002/1651*c_0101_4^10 - 139975240/1651*c_0101_4^9 - 69536379/1651*c_0101_4^8 + 40752837/1651*c_0101_4^7 + 7166493/1651*c_0101_4^6 + 39195674/1651*c_0101_4^5 + 67753772/1651*c_0101_4^4 - 20182538/1651*c_0101_4^3 - 44238271/1651*c_0101_4^2 + 1393199/1651*c_0101_4 + 8177803/1651, c_0101_2 + 739255/1651*c_0101_4^14 - 6163999/1651*c_0101_4^13 + 4054249/1651*c_0101_4^12 + 37407664/1651*c_0101_4^11 + 6308038/1651*c_0101_4^10 - 57094080/1651*c_0101_4^9 - 28238320/1651*c_0101_4^8 + 16669929/1651*c_0101_4^7 + 2926825/1651*c_0101_4^6 + 16012655/1651*c_0101_4^5 + 27581726/1651*c_0101_4^4 - 8292191/1651*c_0101_4^3 - 18028827/1651*c_0101_4^2 + 585823/1651*c_0101_4 + 3334975/1651, c_0101_4^15 - 9*c_0101_4^14 + 11*c_0101_4^13 + 47*c_0101_4^12 - 25*c_0101_4^11 - 83*c_0101_4^10 + 13*c_0101_4^9 + 48*c_0101_4^8 - 11*c_0101_4^7 + 19*c_0101_4^6 + 23*c_0101_4^5 - 36*c_0101_4^4 - 17*c_0101_4^3 + 17*c_0101_4^2 + 4*c_0101_4 - 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB