Magma V2.19-8 Wed Aug 21 2013 00:39:09 on localhost [Seed = 2648411082] Type ? for help. Type -D to quit. Loading file "K14n2559__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n2559 geometric_solution 12.02479805 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 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 -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 0.193638473571 0.793757203662 0 2 6 5 0132 3201 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 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 0.193638473571 0.793757203662 2 0 1 2 3201 0132 2310 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 -1 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.290074946249 1.189066789987 6 6 7 0 0321 2103 0132 0132 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 21 0 -21 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 0.547036964773 0.829429537540 6 8 0 9 2310 0132 0132 0132 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 1 -1 0 -20 0 0 20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.726485736787 1.065655708344 7 10 1 8 1230 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.443594342437 1.017383480912 3 3 4 1 0321 2103 3201 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 0 0 0 0 0 0 0 0 -21 1 20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.547036964773 0.829429537540 9 5 11 3 0132 3012 0132 0132 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 -21 21 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.525806943842 0.404005134338 5 4 12 12 3201 0132 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.458046107797 0.728526390338 7 10 4 11 0132 1230 0132 0132 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 -20 20 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.946288570439 0.895701294206 11 5 9 12 1302 0132 3012 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 -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 -0.169439944424 1.424954842518 12 10 9 7 2103 2031 0132 0132 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 0 -20 21 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.008398632757 1.105436915982 8 10 11 8 3120 1302 2103 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 1 -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 0.657340304911 0.883635612642 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_11']), 'c_1001_10' : d['c_0011_7'], 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : d['c_0011_12'], 'c_1001_4' : negation(d['c_0011_12']), 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : negation(d['c_0011_12']), 'c_1001_9' : d['c_1001_8'], 'c_1001_8' : d['c_1001_8'], 'c_1010_12' : d['c_1001_8'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : d['c_0011_12'], 's_0_10' : d['1'], 's_0_11' : 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' : d['c_0101_11'], 'c_0101_10' : negation(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' : 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_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_0']), 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : negation(d['c_1001_8']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0011_7'], 'c_1010_4' : d['c_1001_8'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0011_12'], 'c_1010_0' : negation(d['c_0011_12']), 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : negation(d['c_0011_12']), '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'], 'c_1100_12' : negation(d['c_0101_11']), '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_7']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_11'], 'c_0110_10' : d['c_0011_11'], 'c_0110_12' : negation(d['c_0011_7']), 'c_0101_12' : d['c_0101_11'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : negation(d['c_0011_6']), 'c_0101_9' : d['c_0101_3'], 'c_0101_8' : negation(d['c_0011_7']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : negation(d['c_0011_7']), 'c_0110_1' : negation(d['c_0011_6']), 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0011_7'], 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0011_3'])})} 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_3, c_0011_4, c_0011_6, c_0011_7, c_0101_11, c_0101_2, c_0101_3, c_1001_8, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 66881*c_1100_0^7 - 89760*c_1100_0^6 + 236777*c_1100_0^5 + 281567*c_1100_0^4 - 237950*c_1100_0^3 - 148009*c_1100_0^2 + 16148*c_1100_0 - 195392, c_0011_0 - 1, c_0011_10 - 1/2*c_1100_0^7 - 1/2*c_1100_0^6 + 3/2*c_1100_0^5 + c_1100_0^4 - c_1100_0^3 - 1/2*c_1100_0^2 - 1/2*c_1100_0, c_0011_11 + 1/2*c_1100_0^7 + 1/2*c_1100_0^6 - 3/2*c_1100_0^5 - c_1100_0^4 + c_1100_0^3 - 1/2*c_1100_0^2 + 1/2*c_1100_0, c_0011_12 + 1/2*c_1100_0^7 + 1/2*c_1100_0^6 - 3/2*c_1100_0^5 - c_1100_0^4 + c_1100_0^3 + 1/2*c_1100_0^2 + 1/2*c_1100_0, c_0011_3 + 1/2*c_1100_0^6 + 1/2*c_1100_0^5 - 3/2*c_1100_0^4 - c_1100_0^3 + c_1100_0^2 - 1/2*c_1100_0 + 1/2, c_0011_4 - c_1100_0, c_0011_6 - 1/2*c_1100_0^6 - 1/2*c_1100_0^5 + 3/2*c_1100_0^4 + c_1100_0^3 - c_1100_0^2 + 1/2*c_1100_0 - 1/2, c_0011_7 + 1/2*c_1100_0^7 - 2*c_1100_0^5 - 1/2*c_1100_0^4 + 2*c_1100_0^3 + 1/2*c_1100_0^2 + 1/2, c_0101_11 + 1/2*c_1100_0^6 + 1/2*c_1100_0^5 - 3/2*c_1100_0^4 - c_1100_0^3 + c_1100_0^2 - 1/2*c_1100_0 + 1/2, c_0101_2 + 1/2*c_1100_0^7 + 1/2*c_1100_0^6 - 3/2*c_1100_0^5 - c_1100_0^4 + c_1100_0^3 - 1/2*c_1100_0^2 + 1/2*c_1100_0 + 1, c_0101_3 - 1/2*c_1100_0^7 - 1/2*c_1100_0^6 + 3/2*c_1100_0^5 + c_1100_0^4 - c_1100_0^3 - 1/2*c_1100_0^2 - 1/2*c_1100_0, c_1001_8 - 1/2*c_1100_0^6 + 1/2*c_1100_0^5 + 3/2*c_1100_0^4 - c_1100_0^3 - c_1100_0^2 + 1/2*c_1100_0 - 1/2, c_1100_0^8 + c_1100_0^7 - 4*c_1100_0^6 - 3*c_1100_0^5 + 5*c_1100_0^4 + c_1100_0^3 - c_1100_0^2 + 3*c_1100_0 - 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_3, c_0011_4, c_0011_6, c_0011_7, c_0101_11, c_0101_2, c_0101_3, c_1001_8, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 802/9*c_1100_0^11 + 1442/9*c_1100_0^10 - 2977/9*c_1100_0^9 - 4616/9*c_1100_0^8 + 672*c_1100_0^7 + 4766/9*c_1100_0^6 - 2653/3*c_1100_0^5 + 754/9*c_1100_0^4 + 5494/9*c_1100_0^3 - 5156/9*c_1100_0^2 - 914/9*c_1100_0 + 3391/9, c_0011_0 - 1, c_0011_10 + 2*c_1100_0^11 - c_1100_0^10 - 7*c_1100_0^9 + 7*c_1100_0^8 + 6*c_1100_0^7 - 12*c_1100_0^6 + 6*c_1100_0^5 + 3*c_1100_0^4 - 8*c_1100_0^3 + 5*c_1100_0^2 - c_1100_0 + 1, c_0011_11 - c_1100_0^11 + c_1100_0^10 + 4*c_1100_0^9 - 5*c_1100_0^8 - 4*c_1100_0^7 + 8*c_1100_0^6 - 3*c_1100_0^5 - 3*c_1100_0^4 + 5*c_1100_0^3 - 2*c_1100_0^2, c_0011_12 + c_1100_0^10 + c_1100_0^9 - 3*c_1100_0^8 - c_1100_0^7 + 4*c_1100_0^6 - 2*c_1100_0^5 - c_1100_0^4 + 3*c_1100_0^3 - c_1100_0^2 - 1, c_0011_3 + c_1100_0^11 + c_1100_0^10 - 3*c_1100_0^9 - c_1100_0^8 + 4*c_1100_0^7 - 2*c_1100_0^6 - c_1100_0^5 + 3*c_1100_0^4 - 2*c_1100_0^3, c_0011_4 - c_1100_0, c_0011_6 - c_1100_0^11 - c_1100_0^10 + 3*c_1100_0^9 + c_1100_0^8 - 4*c_1100_0^7 + 2*c_1100_0^6 + c_1100_0^5 - 3*c_1100_0^4 + 2*c_1100_0^3, c_0011_7 + c_1100_0^11 - 4*c_1100_0^9 + 2*c_1100_0^8 + 5*c_1100_0^7 - 5*c_1100_0^6 + c_1100_0^5 + 3*c_1100_0^4 - 4*c_1100_0^3 + c_1100_0^2 + 1, c_0101_11 - c_1100_0^11 + 3*c_1100_0^9 - 2*c_1100_0^8 - 2*c_1100_0^7 + 5*c_1100_0^6 - 3*c_1100_0^5 - 2*c_1100_0^4 + 4*c_1100_0^3 - 2*c_1100_0^2, c_0101_2 + c_1100_0^10 + c_1100_0^9 - 3*c_1100_0^8 - c_1100_0^7 + 4*c_1100_0^6 - 2*c_1100_0^5 - c_1100_0^4 + 3*c_1100_0^3 - 2*c_1100_0^2, c_0101_3 - c_1100_0^10 - c_1100_0^9 + 3*c_1100_0^8 + c_1100_0^7 - 4*c_1100_0^6 + 2*c_1100_0^5 + c_1100_0^4 - 3*c_1100_0^3 + c_1100_0^2 + 1, c_1001_8 - c_1100_0^11 - c_1100_0^10 + 3*c_1100_0^9 + c_1100_0^8 - 4*c_1100_0^7 + 2*c_1100_0^6 + 2*c_1100_0^5 - 3*c_1100_0^4, c_1100_0^12 + c_1100_0^11 - 4*c_1100_0^10 - 2*c_1100_0^9 + 7*c_1100_0^8 - c_1100_0^7 - 5*c_1100_0^6 + 5*c_1100_0^5 - c_1100_0^4 - 3*c_1100_0^3 + 2*c_1100_0^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 4.890 Total time: 5.089 seconds, Total memory usage: 64.12MB