Magma V2.19-8 Tue Aug 20 2013 17:56:13 on localhost [Seed = 1225326215] Type ? for help. Type -D to quit. Loading file "10^2_131__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_131 geometric_solution 10.84792502 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 3 0132 0132 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.387184356796 0.264047505366 0 4 6 5 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.802875401131 0.610129096738 6 0 6 3 0213 0132 1023 1302 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.763481359955 0.857060745738 4 0 2 0 0132 1302 2031 0132 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 1 0 -1 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 0.849944446436 0.938174985337 3 1 7 8 0132 0132 0132 0132 0 0 0 0 0 0 0 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 0 0 0 -1 0 1 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.886773767385 0.676521298952 9 10 1 8 0132 0132 0132 3120 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 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 0.311662104316 0.533512968097 2 8 2 1 0213 0132 1023 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 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.763481359955 0.857060745738 9 10 9 4 3120 0321 2310 0132 0 0 0 1 0 1 -1 0 0 0 0 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 -1 1 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 0.633280500961 1.103361446972 5 6 4 11 3120 0132 0132 0132 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 0 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 0.512284303933 0.210811068441 5 7 11 7 0132 3201 2103 3120 1 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 0 1 -1 0 0 0 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.633280500961 1.103361446972 11 5 11 7 3201 0132 0213 0321 0 1 0 0 0 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 -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 0.633280500961 1.103361446972 9 10 8 10 2103 0213 0132 2310 0 0 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 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 0.633280500961 1.103361446972 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_6'], 'c_1001_10' : d['c_0011_6'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0011_7'], 'c_1001_6' : d['c_0011_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_1001_1'], 'c_1010_11' : d['c_0011_7'], 'c_1010_10' : d['c_1001_4'], 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_11'], '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_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(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_0011_10'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_0011_10'], 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_1001_0']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : d['c_0101_3'], 's_3_11' : negation(d['1']), 'c_1100_9' : d['c_0011_11'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_0011_7'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_4'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_1001_1'], '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' : negation(d['c_0011_7']), 'c_1010_8' : d['c_0011_6'], 's_3_1' : negation(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' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_6']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : 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_0011_11']), 'c_0110_10' : negation(d['c_0011_7']), 'c_0101_7' : negation(d['c_0011_11']), 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_6'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_3'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : d['c_0101_11'], '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_1']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : d['c_0101_1']})} 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_6, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_1001_0, c_1001_1, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 9281/613089*c_1001_4^5 + 14491/204363*c_1001_4^4 - 9569/204363*c_1001_4^3 - 4513/136242*c_1001_4^2 - 131354/613089*c_1001_4 + 204901/1226178, c_0011_0 - 1, c_0011_10 - 10/9*c_1001_4^5 - 2/3*c_1001_4^4 + 2*c_1001_4^3 + 32/3*c_1001_4^2 + 134/9*c_1001_4 + 106/9, c_0011_11 - 1, c_0011_6 + 10/9*c_1001_4^5 + 2/3*c_1001_4^4 - 2*c_1001_4^3 - 32/3*c_1001_4^2 - 125/9*c_1001_4 - 106/9, c_0011_7 - 1, c_0101_0 + 10/9*c_1001_4^5 + 2/3*c_1001_4^4 - 2*c_1001_4^3 - 32/3*c_1001_4^2 - 125/9*c_1001_4 - 106/9, c_0101_1 + 5/9*c_1001_4^5 - 2/3*c_1001_4^3 - 14/3*c_1001_4^2 - 46/9*c_1001_4 - 50/9, c_0101_11 - c_1001_4, c_0101_3 + 14/9*c_1001_4^5 + 2/3*c_1001_4^4 - 7/3*c_1001_4^3 - 15*c_1001_4^2 - 160/9*c_1001_4 - 155/9, c_1001_0 + 1/3*c_1001_4^5 + 1/3*c_1001_4^4 - 1/3*c_1001_4^3 - 11/3*c_1001_4^2 - 6*c_1001_4 - 17/3, c_1001_1 - 4/9*c_1001_4^5 + 1/3*c_1001_4^3 + 13/3*c_1001_4^2 + 44/9*c_1001_4 + 49/9, c_1001_4^6 - 2*c_1001_4^5 - 3*c_1001_4^4 - 6*c_1001_4^3 + 13*c_1001_4^2 + 21*c_1001_4 + 29 ], 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_6, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_1001_0, c_1001_1, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 237054301/3799444480*c_1001_4^6 - 146082281/1899722240*c_1001_4^5 + 144037957/759888896*c_1001_4^4 + 348923645/379944448*c_1001_4^3 - 1392816891/759888896*c_1001_4^2 + 650185693/759888896*c_1001_4 + 5634996673/3799444480, c_0011_0 - 1, c_0011_10 - 3089/57083*c_1001_4^6 + 2260/57083*c_1001_4^5 - 9991/57083*c_1001_4^4 - 48388/57083*c_1001_4^3 + 75955/57083*c_1001_4^2 - 88563/57083*c_1001_4 - 2219/4391, c_0011_11 + 1, c_0011_6 + 3089/57083*c_1001_4^6 - 2260/57083*c_1001_4^5 + 9991/57083*c_1001_4^4 + 48388/57083*c_1001_4^3 - 75955/57083*c_1001_4^2 + 31480/57083*c_1001_4 + 2219/4391, c_0011_7 - 1, c_0101_0 + 3089/57083*c_1001_4^6 - 2260/57083*c_1001_4^5 + 9991/57083*c_1001_4^4 + 48388/57083*c_1001_4^3 - 75955/57083*c_1001_4^2 + 31480/57083*c_1001_4 + 2219/4391, c_0101_1 + 274/57083*c_1001_4^6 - 1069/57083*c_1001_4^5 + 2882/57083*c_1001_4^4 - 5502/57083*c_1001_4^3 - 19636/57083*c_1001_4^2 + 13880/57083*c_1001_4 - 6180/4391, c_0101_11 - c_1001_4, c_0101_3 - 54/57083*c_1001_4^6 + 2294/57083*c_1001_4^5 + 1932/57083*c_1001_4^4 + 1501/57083*c_1001_4^3 + 38453/57083*c_1001_4^2 - 26902/57083*c_1001_4 - 1891/4391, c_1001_0 - 4493/57083*c_1001_4^6 + 4821/57083*c_1001_4^5 - 16842/57083*c_1001_4^4 - 66445/57083*c_1001_4^3 + 105322/57083*c_1001_4^2 - 103019/57083*c_1001_4 - 3084/4391, c_1001_1 - 3143/57083*c_1001_4^6 + 4554/57083*c_1001_4^5 - 8059/57083*c_1001_4^4 - 46887/57083*c_1001_4^3 + 114408/57083*c_1001_4^2 - 1299/57083*c_1001_4 - 4110/4391, c_1001_4^7 - c_1001_4^6 + 3*c_1001_4^5 + 15*c_1001_4^4 - 25*c_1001_4^3 + 10*c_1001_4^2 + 18*c_1001_4 + 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB