Magma V2.19-8 Wed Aug 21 2013 00:52:46 on localhost [Seed = 610414995] Type ? for help. Type -D to quit. Loading file "L12n1089__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1089 geometric_solution 11.12983770 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 1 -1 0 1 0 -1 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 -5 4 1 -4 0 4 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.516071858851 0.249878849507 0 3 6 5 0132 1023 0132 0132 1 1 0 1 0 1 0 -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 -5 0 5 4 0 0 -4 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.066903104626 0.904754051264 4 0 8 7 1023 0132 0132 0132 1 1 0 1 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 0 0 0 0 0 5 -5 0 0 0 0 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.156059889545 1.224637709703 1 9 10 0 1023 0132 0132 0132 1 1 0 1 0 0 -1 1 -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 4 -4 5 0 -1 -4 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.019684996263 0.579072208515 9 2 0 8 0132 1023 0132 1230 1 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 0 0 0 0 0 0 -1 1 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 0.897604693070 0.803519434290 10 8 1 11 1023 0213 0132 0132 1 1 1 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 5 -5 0 -4 0 4 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.066903104626 0.904754051264 9 11 12 1 3120 2031 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 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 0.689317755808 0.736252010856 10 9 2 11 0213 0213 0132 0321 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 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 1.066903104626 0.904754051264 4 10 5 2 3012 0213 0213 0132 1 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 0 0 0 0 0 -5 5 -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 -0.569706731564 0.760042434826 4 3 7 6 0132 0132 0213 3120 1 1 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.081286220179 1.099261946512 7 5 8 3 0213 1023 0213 0132 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 0 0 0 0 0 0 0 0 0 0 0 4 0 -4 0 0 -1 1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.019684996263 0.579072208515 6 7 5 12 1302 0321 0132 2310 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 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 0.689317755808 0.736252010856 11 12 12 6 3201 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.322355345562 0.723784111568 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0101_0'], 'c_1001_12' : negation(d['c_0011_12']), 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_0101_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_12'], 'c_1001_1' : d['c_0011_11'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_0'], 'c_1010_12' : d['c_0101_12'], 'c_1010_11' : negation(d['c_0101_6']), 'c_1010_10' : negation(d['c_0011_6']), 's_3_11' : 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' : negation(d['c_0011_6']), 'c_0101_10' : d['c_0011_7'], '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_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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_11'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_12'], 'c_1100_4' : d['c_0101_2'], 'c_1100_7' : d['c_1001_11'], 'c_1100_6' : d['c_0011_12'], 'c_1100_1' : d['c_0011_12'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_1001_11'], 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0101_6']), 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : d['c_0101_2'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_1001_11'], 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : d['c_0101_2'], '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'], 'c_1100_12' : d['c_0011_12'], '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' : d['c_0011_0'], 'c_0011_8' : d['c_0011_7'], 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_7'], '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_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_12']), 'c_0110_10' : d['c_0011_11'], 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_11'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_7'], 'c_0101_8' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], '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_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' : d['c_0011_10'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : d['c_0011_7'], 'c_0110_7' : negation(d['c_0011_11']), '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_12, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_12, c_0101_2, c_0101_6, c_1001_0, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 235/137*c_1001_0^5 + 559/137*c_1001_0^4 - 943/137*c_1001_0^3 + 601/137*c_1001_0^2 - 296/137*c_1001_0 - 542/137, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - 1/8*c_1001_0^5 + 5/8*c_1001_0^4 - 11/8*c_1001_0^3 + 3/2*c_1001_0^2 - 7/8*c_1001_0 - 3/8, c_0011_12 - 5/8*c_1001_0^5 + 9/8*c_1001_0^4 - 15/8*c_1001_0^3 + 3/2*c_1001_0^2 - 11/8*c_1001_0 + 1/8, c_0011_6 - 1/8*c_1001_0^5 + 5/8*c_1001_0^4 - 11/8*c_1001_0^3 + 3/2*c_1001_0^2 - 7/8*c_1001_0 - 3/8, c_0011_7 - c_1001_0, c_0101_0 - c_1001_0^2 + c_1001_0 - 1, c_0101_1 - 1, c_0101_12 + c_1001_0^5 - 2*c_1001_0^4 + 3*c_1001_0^3 - 2*c_1001_0^2 + c_1001_0, c_0101_2 + 1/4*c_1001_0^5 - 1/4*c_1001_0^4 + 3/4*c_1001_0^3 + 3/4*c_1001_0 + 3/4, c_0101_6 + 3/8*c_1001_0^5 - 7/8*c_1001_0^4 + 9/8*c_1001_0^3 - 1/2*c_1001_0^2 - 11/8*c_1001_0 + 1/8, c_1001_0^6 - 2*c_1001_0^5 + 4*c_1001_0^4 - 3*c_1001_0^3 + 3*c_1001_0^2 + 1, c_1001_11 + 1 ], 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_6, c_0011_7, c_0101_0, c_0101_1, c_0101_12, c_0101_2, c_0101_6, c_1001_0, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 40605619/18728760*c_1001_0^7 + 10975893/8740088*c_1001_0^6 + 220765133/16387665*c_1001_0^5 + 67579515/8740088*c_1001_0^4 + 342763609/65550660*c_1001_0^3 + 234401687/131101320*c_1001_0^2 - 18565731/8740088*c_1001_0 + 13336767/10925110, c_0011_0 - 1, c_0011_10 + 369040/468219*c_1001_0^7 + 242182/468219*c_1001_0^6 + 867208/156073*c_1001_0^5 + 1736651/468219*c_1001_0^4 + 2666324/468219*c_1001_0^3 + 606368/156073*c_1001_0^2 - 688387/468219*c_1001_0 + 452999/468219, c_0011_11 + 53627/156073*c_1001_0^7 + 66650/156073*c_1001_0^6 + 1369505/468219*c_1001_0^5 + 1518203/468219*c_1001_0^4 + 2872411/468219*c_1001_0^3 + 2156524/468219*c_1001_0^2 + 1430195/468219*c_1001_0 + 168841/156073, c_0011_12 + 123823/156073*c_1001_0^7 + 156317/156073*c_1001_0^6 + 963173/156073*c_1001_0^5 + 3442714/468219*c_1001_0^4 + 4493527/468219*c_1001_0^3 + 4051340/468219*c_1001_0^2 + 1511030/468219*c_1001_0 + 560125/468219, c_0011_6 - 398531/468219*c_1001_0^7 - 464081/468219*c_1001_0^6 - 2999396/468219*c_1001_0^5 - 3228604/468219*c_1001_0^4 - 1406936/156073*c_1001_0^3 - 1059667/156073*c_1001_0^2 - 499286/468219*c_1001_0 - 236087/468219, c_0011_7 + 548618/468219*c_1001_0^7 + 92186/156073*c_1001_0^6 + 1272431/156073*c_1001_0^5 + 1969927/468219*c_1001_0^4 + 1196220/156073*c_1001_0^3 + 609464/156073*c_1001_0^2 - 1094927/468219*c_1001_0 - 38133/156073, c_0101_0 + 179578/468219*c_1001_0^7 + 34376/468219*c_1001_0^6 + 405223/156073*c_1001_0^5 + 233276/468219*c_1001_0^4 + 922336/468219*c_1001_0^3 + 3096/156073*c_1001_0^2 - 874759/468219*c_1001_0 - 99179/468219, c_0101_1 - 1, c_0101_12 + 4858/468219*c_1001_0^7 + 453538/468219*c_1001_0^6 + 191930/156073*c_1001_0^5 + 3412126/468219*c_1001_0^4 + 3654406/468219*c_1001_0^3 + 4464472/468219*c_1001_0^2 + 1154132/156073*c_1001_0 + 214252/468219, c_0101_2 + 369040/468219*c_1001_0^7 + 242182/468219*c_1001_0^6 + 867208/156073*c_1001_0^5 + 1736651/468219*c_1001_0^4 + 2666324/468219*c_1001_0^3 + 606368/156073*c_1001_0^2 - 220168/468219*c_1001_0 - 15220/468219, c_0101_6 - 123823/156073*c_1001_0^7 - 156317/156073*c_1001_0^6 - 963173/156073*c_1001_0^5 - 3442714/468219*c_1001_0^4 - 4493527/468219*c_1001_0^3 - 4051340/468219*c_1001_0^2 - 1511030/468219*c_1001_0 - 560125/468219, c_1001_0^8 + 8/7*c_1001_0^7 + 50/7*c_1001_0^6 + 8*c_1001_0^5 + 55/7*c_1001_0^4 + 52/7*c_1001_0^3 - 4/7*c_1001_0^2 - 8/7*c_1001_0 + 1, c_1001_11 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.140 Total time: 0.360 seconds, Total memory usage: 32.09MB