Magma V2.19-8 Tue Aug 20 2013 23:53:12 on localhost [Seed = 593840329] Type ? for help. Type -D to quit. Loading file "L13n4856__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4856 geometric_solution 10.49817532 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 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 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 1.065496476795 0.833873637826 0 4 6 5 0132 1023 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 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.180772906710 0.687256362606 7 0 8 7 0132 0132 0132 2103 1 0 1 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 0 0 2 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 1.224072734151 0.905390939247 9 7 10 0 0132 2103 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 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 1.180772906710 0.687256362606 1 10 0 9 1023 3120 0132 0321 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 1 -1 1 0 0 -1 1 -12 0 11 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.230475837319 0.405746846464 9 11 1 6 2103 0132 0132 3012 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 1.224072734151 0.905390939247 10 9 5 1 0321 0321 1230 0132 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 0 -1 0 0 0 0 12 -11 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.400956497467 1.004921926633 2 3 11 2 0132 2103 0132 2103 1 0 1 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 0 0 -2 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 1.224072734151 0.905390939247 11 10 11 2 0132 3201 3120 0132 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 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 0.545737457552 0.636793899406 3 4 5 6 0132 0321 2103 0321 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 1 0 -1 0 0 0 0 0 -11 0 11 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.379621822909 0.788442854094 6 4 8 3 0321 3120 2310 0132 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 0 -1 0 0 0 0 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.799521751267 0.502460963317 8 5 8 7 0132 0132 3120 0132 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 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 0.545737457552 0.636793899406 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : negation(d['c_1001_10']), 'c_1001_7' : d['c_0011_3'], 'c_1001_6' : negation(d['c_0110_5']), 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_1001_10']), 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_11' : d['c_0011_3'], 'c_1010_10' : d['c_0011_0'], '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_0101_11'], 'c_0101_10' : d['c_0101_10'], '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_1100_9' : negation(d['c_0110_5']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0110_5'], 'c_1100_4' : negation(d['c_0011_11']), 'c_1100_7' : negation(d['c_0101_7']), 'c_1100_6' : d['c_0110_5'], 'c_1100_1' : d['c_0110_5'], 'c_1100_0' : negation(d['c_0011_11']), 'c_1100_3' : negation(d['c_0011_11']), 'c_1100_2' : negation(d['c_0101_11']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_7']), 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_0']), 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_1001_10']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_1001_10']), 'c_1100_8' : negation(d['c_0101_11']), '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_3']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_0']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_7'], 'c_0110_10' : negation(d['c_0011_6']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_10']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : negation(d['c_0011_10']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_7'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_6']), 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : negation(d['c_0011_10'])})} 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_11, c_0011_3, c_0011_6, c_0101_0, c_0101_10, c_0101_11, c_0101_7, c_0110_5, c_1001_0, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 1883089/386218*c_1001_10^7 - 2523093/386218*c_1001_10^6 + 3954078/193109*c_1001_10^5 - 7786307/193109*c_1001_10^4 + 68694049/1544872*c_1001_10^3 - 89709365/1544872*c_1001_10^2 + 109906667/1544872*c_1001_10 - 947073/27587, c_0011_0 - 1, c_0011_10 - 374/563*c_1001_10^7 + 306/563*c_1001_10^6 - 1406/563*c_1001_10^5 + 2350/563*c_1001_10^4 - 4695/1126*c_1001_10^3 + 7439/1126*c_1001_10^2 - 3909/563*c_1001_10 + 1569/563, c_0011_11 - 1, c_0011_3 - 219/563*c_1001_10^7 + 128/563*c_1001_10^6 - 739/563*c_1001_10^5 + 1075/563*c_1001_10^4 - 2283/2252*c_1001_10^3 + 1405/563*c_1001_10^2 - 752/563*c_1001_10 - 558/563, c_0011_6 + 1329/1126*c_1001_10^7 - 774/563*c_1001_10^6 + 5225/1126*c_1001_10^5 - 10133/1126*c_1001_10^4 + 39521/4504*c_1001_10^3 - 6974/563*c_1001_10^2 + 15569/1126*c_1001_10 - 2942/563, c_0101_0 - 1329/1126*c_1001_10^7 + 774/563*c_1001_10^6 - 5225/1126*c_1001_10^5 + 10133/1126*c_1001_10^4 - 39521/4504*c_1001_10^3 + 6974/563*c_1001_10^2 - 16695/1126*c_1001_10 + 2942/563, c_0101_10 - 181/563*c_1001_10^7 + 404/563*c_1001_10^6 - 837/563*c_1001_10^5 + 2179/563*c_1001_10^4 - 9229/2252*c_1001_10^3 + 3115/563*c_1001_10^2 - 3781/563*c_1001_10 + 1089/563, c_0101_11 - 1, c_0101_7 - 413/563*c_1001_10^7 + 645/563*c_1001_10^6 - 1661/563*c_1001_10^5 + 3706/563*c_1001_10^4 - 14825/2252*c_1001_10^3 + 19681/2252*c_1001_10^2 - 5971/563*c_1001_10 + 2827/563, c_0110_5 + 477/1126*c_1001_10^7 - 16/563*c_1001_10^6 + 1733/1126*c_1001_10^5 - 1817/1126*c_1001_10^4 + 3245/4504*c_1001_10^3 - 3307/1126*c_1001_10^2 + 1877/1126*c_1001_10 + 492/563, c_1001_0 + 181/563*c_1001_10^7 - 404/563*c_1001_10^6 + 837/563*c_1001_10^5 - 2179/563*c_1001_10^4 + 9229/2252*c_1001_10^3 - 3115/563*c_1001_10^2 + 3781/563*c_1001_10 - 2215/563, c_1001_10^8 - 2*c_1001_10^7 + 5*c_1001_10^6 - 11*c_1001_10^5 + 57/4*c_1001_10^4 - 35/2*c_1001_10^3 + 22*c_1001_10^2 - 16*c_1001_10 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.340 seconds, Total memory usage: 32.09MB