Magma V2.19-8 Tue Aug 20 2013 23:52:33 on localhost [Seed = 1225728662] Type ? for help. Type -D to quit. Loading file "L13n2860__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2860 geometric_solution 11.25006599 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 0 1 1 1 0 -1 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 0 -1 2 -1 0 0 1 -1 0 1 0 -1 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.066310191776 1.166609970540 0 5 7 6 0132 0132 0132 0132 1 1 1 1 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 -1 1 0 0 0 0 -12 0 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.717794681293 0.741783142625 3 0 9 8 1023 0132 0132 0132 0 0 1 1 0 1 0 -1 -1 0 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 1 0 -1 -2 0 2 0 -11 12 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.037564601271 0.611809375492 10 2 7 0 0132 1023 3120 0132 0 1 1 1 0 1 0 -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 2 0 -2 1 0 0 -1 -11 11 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.182225492807 0.886574214441 6 11 0 9 1023 0132 0132 1302 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 0 0 0 0 0 1 -1 -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 0.606193291826 0.448021358866 10 1 7 9 1023 0132 1302 3120 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 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 0.777562193381 1.082217535138 10 4 1 8 2103 1023 0132 2310 1 1 0 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 1 -1 0 0 0 0 0 0 0 0 0 11 1 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.066310191776 1.166609970540 5 11 3 1 2031 1023 3120 0132 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 -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 0.777562193381 1.082217535138 6 10 2 11 3201 0321 0132 3012 0 0 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 -1 1 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 0.037564601271 0.611809375492 5 11 4 2 3120 0321 2031 0132 0 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 1 0 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.448028815214 1.177654000495 3 5 6 8 0132 1023 2103 0321 0 1 1 1 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 -1 0 1 -1 0 0 1 0 0 0 0 11 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562133587619 0.609426118657 7 4 8 9 1023 0132 1230 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.326312599667 0.696201810894 ==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' : negation(d['c_0011_11']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_11'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0011_9']), 'c_1001_0' : d['c_0101_8'], 'c_1001_3' : negation(d['c_0101_11']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0110_4']), 'c_1001_8' : d['c_0101_8'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : negation(d['c_0101_11']), 's_0_10' : d['1'], 's_0_11' : 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_0'], 's_2_0' : d['1'], 's_2_1' : negation(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' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(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_1001_11']), 'c_1100_8' : negation(d['c_1001_11']), 'c_1100_5' : d['c_0101_7'], 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : d['c_0011_8'], 'c_1100_6' : d['c_0011_8'], 'c_1100_1' : d['c_0011_8'], 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : negation(d['c_1001_11']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0110_4']), 'c_1100_10' : d['c_0101_8'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : d['c_0110_4'], 'c_1010_5' : negation(d['c_0011_9']), 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : d['c_0101_8'], 'c_1010_2' : d['c_0101_8'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_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' : negation(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' : negation(d['1']), 's_1_4' : 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_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_11'], 'c_0011_6' : negation(d['c_0011_11']), '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_9']), 'c_0110_10' : negation(d['c_0011_8']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_11']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_8']), 'c_0101_2' : negation(d['c_0101_11']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_7']), 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_11']), 'c_0110_8' : negation(d['c_0110_4']), '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_8'], 'c_0110_5' : negation(d['c_0101_11']), 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_8'])})} 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_11, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_7, c_0101_8, c_0110_4, c_1001_11, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 3/40*c_1001_2^3 - 7/40*c_1001_2^2 + 17/40*c_1001_2 - 4/5, c_0011_0 - 1, c_0011_11 + 1/2*c_1001_2^3 + 1/2*c_1001_2^2 + 1/2*c_1001_2 + 1, c_0011_8 + 1/2*c_1001_2^2, c_0011_9 + 1/2*c_1001_2^2 - 1/2*c_1001_2 + 1, c_0101_0 + 1/2*c_1001_2, c_0101_1 - 1/2*c_1001_2^2 - 1, c_0101_11 - 1/2*c_1001_2^3 + 1/2*c_1001_2^2 - 1/2*c_1001_2 + 1, c_0101_7 - c_1001_2^2 - 1, c_0101_8 - 1, c_0110_4 - 1/2*c_1001_2^3 + 1/2*c_1001_2^2 - 3/2*c_1001_2 + 1, c_1001_11 + 1/2*c_1001_2^3 - 1/2*c_1001_2^2 + 3/2*c_1001_2 - 1, c_1001_2^4 - c_1001_2^3 + 3*c_1001_2^2 - 2*c_1001_2 + 4 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_7, c_0101_8, c_0110_4, c_1001_11, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 11827/3432*c_1001_2^6 + 19543/1716*c_1001_2^5 + 3153/572*c_1001_2^4 + 5921/264*c_1001_2^3 + 1621/78*c_1001_2^2 + 431/429*c_1001_2 + 36085/3432, c_0011_0 - 1, c_0011_11 - 1/3*c_1001_2^6 + 2/3*c_1001_2^5 + 2*c_1001_2^4 + 8/3*c_1001_2^3 + 17/3*c_1001_2^2 + 4/3*c_1001_2 + 7/3, c_0011_8 + 1, c_0011_9 + 1/3*c_1001_2^6 - 5/3*c_1001_2^5 + 2*c_1001_2^4 - 11/3*c_1001_2^3 + 4/3*c_1001_2^2 - 7/3*c_1001_2 - 1/3, c_0101_0 - 7/12*c_1001_2^6 + 17/6*c_1001_2^5 - 5/2*c_1001_2^4 + 53/12*c_1001_2^3 - 14/3*c_1001_2^2 + 1/3*c_1001_2 - 19/12, c_0101_1 + 1/6*c_1001_2^6 - 2/3*c_1001_2^5 - 5/6*c_1001_2^3 + 4/3*c_1001_2^2 + 1/3*c_1001_2 + 7/6, c_0101_11 + c_1001_2^6 - 13/3*c_1001_2^5 + 3*c_1001_2^4 - 10*c_1001_2^3 + 11/3*c_1001_2^2 - 4*c_1001_2 + 4/3, c_0101_7 - 1/3*c_1001_2^6 + 2/3*c_1001_2^5 + 2*c_1001_2^4 + 8/3*c_1001_2^3 + 17/3*c_1001_2^2 + 4/3*c_1001_2 + 7/3, c_0101_8 - 1, c_0110_4 + c_1001_2, c_1001_11 - c_1001_2^6 + 13/3*c_1001_2^5 - 3*c_1001_2^4 + 10*c_1001_2^3 - 11/3*c_1001_2^2 + 5*c_1001_2 - 4/3, c_1001_2^7 - 4*c_1001_2^6 + 2*c_1001_2^5 - 11*c_1001_2^4 + 2*c_1001_2^3 - 8*c_1001_2^2 + c_1001_2 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.280 seconds, Total memory usage: 32.09MB