Magma V2.19-8 Wed Aug 21 2013 00:52:08 on localhost [Seed = 2681834179] Type ? for help. Type -D to quit. Loading file "L11n69__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n69 geometric_solution 11.81741481 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2031 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 1 -1 0 0 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.969939591863 0.861946719613 0 0 5 4 0132 1302 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 1 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 0.423935705262 0.511925416078 6 0 8 7 0132 0132 0132 0132 1 1 1 1 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 1 0 -1 8 1 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.363892955992 1.015662929776 9 10 11 0 0132 0132 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 -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 0.634323549017 0.616861833348 9 8 1 8 2103 1230 0132 3120 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 0.356346896058 1.752609261987 9 6 8 1 1023 2103 2310 0132 1 1 1 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 0 0 0 0 0 0 0 -8 9 -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 0.359538470652 2.159322485879 2 5 12 9 0132 2103 0132 2103 1 1 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 -1 1 0 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426043413678 0.532328183734 10 10 2 11 3012 0213 0132 0132 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 -1 0 0 1 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442908756832 0.707186015034 4 5 4 2 3120 3201 3012 0132 1 1 1 1 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 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.361024453243 0.405654661813 3 5 4 6 0132 1023 2103 2103 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 0.538284325660 0.356875600597 12 3 7 7 1302 0132 0213 1230 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 0 0 0 0 0 0 0 0 0 0 -1 0 1 1 0 -1 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 0.442908756832 0.707186015034 12 12 7 3 2103 1023 0132 0132 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 -1 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442908756832 0.707186015034 11 10 11 6 1023 2031 2103 0132 1 1 1 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 0 -1 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 0.363892955992 1.015662929776 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : d['c_0011_0'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0011_4'], 'c_1001_8' : negation(d['c_0011_4']), 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : d['c_0101_6'], 'c_1010_10' : d['c_0101_6'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_11'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_11']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_2']), 'c_1100_8' : negation(d['c_1001_4']), 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_0011_8'], 'c_1100_4' : d['c_0011_8'], 'c_1100_7' : negation(d['c_1001_4']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : d['c_0011_8'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_1001_4']), 's_3_11' : negation(d['1']), 'c_1100_11' : negation(d['c_1001_4']), 'c_1100_10' : d['c_0101_11'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_8']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0101_1'], 'c_1010_8' : negation(d['c_0011_0']), 's_3_1' : d['1'], 's_3_0' : negation(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_0101_3']), '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' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_0'], '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_0101_3'], 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : d['c_0101_6'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], '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_0101_0'], 'c_0101_8' : negation(d['c_0011_8']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_2'], 's_2_9' : d['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_8, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_3, c_0101_6, c_1001_0, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 50653/106821*c_1001_4^5 - 60989/213642*c_1001_4^4 - 72172/8217*c_1001_4^3 - 449752/35607*c_1001_4^2 - 83515/8217*c_1001_4 - 531695/106821, c_0011_0 - 1, c_0011_10 + c_1001_4, c_0011_11 + 1, c_0011_4 - 20/913*c_1001_4^5 - 25/913*c_1001_4^4 + 552/913*c_1001_4^3 + 689/913*c_1001_4^2 - 544/913*c_1001_4 - 331/913, c_0011_8 + 345/913*c_1001_4^5 - 710/913*c_1001_4^4 - 5870/913*c_1001_4^3 + 212/913*c_1001_4^2 + 1167/913*c_1001_4 - 1366/913, c_0101_0 + 194/913*c_1001_4^5 - 214/913*c_1001_4^4 - 3711/913*c_1001_4^3 - 2940/913*c_1001_4^2 + 164/913*c_1001_4 - 350/913, c_0101_1 - 276/913*c_1001_4^5 + 568/913*c_1001_4^4 + 4696/913*c_1001_4^3 + 13/913*c_1001_4^2 - 1664/913*c_1001_4 + 545/913, c_0101_11 - 1, c_0101_2 + 1, c_0101_3 + 486/913*c_1001_4^5 - 762/913*c_1001_4^4 - 8666/913*c_1001_4^3 - 4052/913*c_1001_4^2 + 985/913*c_1001_4 - 1178/913, c_0101_6 - 486/913*c_1001_4^5 + 762/913*c_1001_4^4 + 8666/913*c_1001_4^3 + 4052/913*c_1001_4^2 - 72/913*c_1001_4 + 1178/913, c_1001_0 - 486/913*c_1001_4^5 + 762/913*c_1001_4^4 + 8666/913*c_1001_4^3 + 4052/913*c_1001_4^2 - 985/913*c_1001_4 + 1178/913, c_1001_4^6 - c_1001_4^5 - 19*c_1001_4^4 - 18*c_1001_4^3 + 2*c_1001_4^2 + c_1001_4 - 3 ], 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_8, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_3, c_0101_6, c_1001_0, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 57095231/25641728*c_1001_4^8 + 92670413/51283456*c_1001_4^7 + 736715131/102566912*c_1001_4^6 + 103466079/14652416*c_1001_4^5 + 778723389/102566912*c_1001_4^4 + 394923715/51283456*c_1001_4^3 + 60461619/25641728*c_1001_4^2 + 263005859/102566912*c_1001_4 + 158771337/102566912, c_0011_0 - 1, c_0011_10 + c_1001_4, c_0011_11 + 1, c_0011_4 + 56/41*c_1001_4^8 + 12/41*c_1001_4^7 + 230/41*c_1001_4^6 + 86/41*c_1001_4^5 + 273/41*c_1001_4^4 + 132/41*c_1001_4^3 + 73/41*c_1001_4^2 + 70/41*c_1001_4 - 33/41, c_0011_8 + 48/41*c_1001_4^8 - 60/41*c_1001_4^7 + 162/41*c_1001_4^6 - 143/41*c_1001_4^5 + 152/41*c_1001_4^4 - 86/41*c_1001_4^3 + 4/41*c_1001_4^2 + 19/41*c_1001_4 - 40/41, c_0101_0 - 32/41*c_1001_4^8 + 40/41*c_1001_4^7 - 108/41*c_1001_4^6 + 150/41*c_1001_4^5 - 74/41*c_1001_4^4 + 153/41*c_1001_4^3 + 52/41*c_1001_4^2 - 40/41*c_1001_4 + 54/41, c_0101_1 - c_1001_4^2 - 1, c_0101_11 + 1, c_0101_2 + 92/41*c_1001_4^8 + 90/41*c_1001_4^7 + 331/41*c_1001_4^6 + 317/41*c_1001_4^5 + 469/41*c_1001_4^4 + 334/41*c_1001_4^3 + 240/41*c_1001_4^2 + 115/41*c_1001_4 + 60/41, c_0101_3 - 76/41*c_1001_4^8 + 54/41*c_1001_4^7 - 195/41*c_1001_4^6 + 141/41*c_1001_4^5 - 63/41*c_1001_4^4 + 184/41*c_1001_4^3 + 144/41*c_1001_4^2 + 28/41*c_1001_4 + 77/41, c_0101_6 + 76/41*c_1001_4^8 - 54/41*c_1001_4^7 + 195/41*c_1001_4^6 - 141/41*c_1001_4^5 + 63/41*c_1001_4^4 - 184/41*c_1001_4^3 - 144/41*c_1001_4^2 - 69/41*c_1001_4 - 77/41, c_1001_0 + 76/41*c_1001_4^8 - 54/41*c_1001_4^7 + 195/41*c_1001_4^6 - 141/41*c_1001_4^5 + 63/41*c_1001_4^4 - 184/41*c_1001_4^3 - 144/41*c_1001_4^2 - 28/41*c_1001_4 - 77/41, c_1001_4^9 + 1/2*c_1001_4^8 + 15/4*c_1001_4^7 + 5/2*c_1001_4^6 + 5*c_1001_4^5 + 15/4*c_1001_4^4 + 5/2*c_1001_4^3 + 9/4*c_1001_4^2 + 1/2*c_1001_4 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.320 seconds, Total memory usage: 32.09MB