Magma V2.19-8 Wed Aug 21 2013 01:01:02 on localhost [Seed = 4088784916] Type ? for help. Type -D to quit. Loading file "L14a14053__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14a14053 geometric_solution 11.53593464 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 3 0 -1 -2 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.722808910118 0.870278098052 0 3 5 3 0132 3120 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.160066148098 1.088415717704 6 0 7 6 0132 0132 0132 2031 1 0 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 1 0 -1 0 0 0 0 -4 -1 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.435233482041 0.679991522258 5 1 1 0 1302 3120 0132 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 -1 0 0 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.268784360620 0.707881021947 8 8 0 9 0132 2310 0132 0132 1 0 0 1 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 -1 1 0 0 2 -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 0.327523828205 0.470669598269 9 3 9 1 1302 2031 0132 0132 1 0 1 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 3 0 0 -3 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.722808910118 0.870278098052 2 2 10 11 0132 1302 0132 0132 0 0 1 1 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 1 0 -1 4 -5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.332276217224 1.043225142903 12 8 8 2 0132 2103 0321 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.998103313027 0.698577741602 4 7 7 4 0132 2103 0321 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.996113461517 1.431469353948 12 5 4 5 3201 2031 0132 0132 1 0 0 0 0 0 0 0 1 0 -1 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 -1 1 -2 0 2 0 -1 1 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.722808910118 0.870278098052 12 11 11 6 2031 2031 1230 0132 0 0 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 -1 0 0 0 0 0 0 1 0 -1 -3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.268784360620 0.707881021947 10 12 6 10 1302 2103 0132 3012 0 0 0 1 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 2 0 -2 -1 0 0 1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.541548719563 0.430135454126 7 11 10 9 0132 2103 1302 2310 0 0 0 1 0 0 0 0 0 0 -1 1 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 3 -3 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.435233482041 0.679991522258 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_10']), 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : negation(d['c_0110_11']), 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : d['c_0011_5'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_1']), 'c_1001_8' : negation(d['c_0011_12']), 'c_1010_12' : d['c_0011_9'], 'c_1010_11' : negation(d['c_0011_9']), 'c_1010_10' : d['c_0011_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : negation(d['c_0011_10']), 'c_0101_10' : d['c_0011_9'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : negation(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' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0011_4']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_12']), 'c_1100_6' : d['c_0110_11'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_12']), 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_0110_11'], 'c_1100_10' : d['c_0110_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0011_12'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_5'], 'c_1010_8' : negation(d['c_1001_2']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_9'], 's_1_7' : d['1'], 's_1_6' : negation(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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_12']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0011_11'], 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_11'], 'c_0101_5' : negation(d['c_0011_9']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_5']), 'c_0101_9' : negation(d['c_0101_7']), 'c_0101_8' : negation(d['c_0101_7']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_9']), 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : negation(d['c_0011_5']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0011_11'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_7']), 'c_0110_7' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10']})} 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_5, c_0011_9, c_0101_1, c_0101_7, c_0110_11, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 221583/379456*c_1100_0^7 - 422981/189728*c_1100_0^6 - 12521/11858*c_1100_0^5 + 2249983/379456*c_1100_0^4 + 929713/379456*c_1100_0^3 - 4661267/379456*c_1100_0^2 - 56235/379456*c_1100_0 + 2300479/379456, c_0011_0 - 1, c_0011_10 + c_1100_0, c_0011_11 + 1, c_0011_12 + c_1100_0^2 - c_1100_0 - 1, c_0011_3 + 1/2*c_1100_0^7 - 2*c_1100_0^5 - 1/2*c_1100_0^4 + 9/2*c_1100_0^3 + 3/2*c_1100_0^2 - 9/2*c_1100_0 - 5/2, c_0011_4 + c_1100_0^6 - c_1100_0^5 - 3*c_1100_0^4 + 2*c_1100_0^3 + 5*c_1100_0^2 - 2*c_1100_0 - 3, c_0011_5 + 1, c_0011_9 + c_1100_0^3 - c_1100_0^2 - c_1100_0 + 1, c_0101_1 + c_1100_0^2 - c_1100_0 - 1, c_0101_7 - c_1100_0^5 + c_1100_0^4 + 2*c_1100_0^3 - 2*c_1100_0^2 - c_1100_0 + 1, c_0110_11 + c_1100_0^2 - 1, c_1001_2 - c_1100_0^2 + 1, c_1100_0^8 - c_1100_0^7 - 4*c_1100_0^6 + 3*c_1100_0^5 + 10*c_1100_0^4 - 6*c_1100_0^3 - 12*c_1100_0^2 + 4*c_1100_0 + 7 ], 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_5, c_0011_9, c_0101_1, c_0101_7, c_0110_11, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 355812995/31626*c_1100_0^11 - 147615499/10542*c_1100_0^10 + 139328242/2259*c_1100_0^9 + 116828653/1506*c_1100_0^8 - 2937455617/15813*c_1100_0^7 - 1237310297/5271*c_1100_0^6 + 1672778882/5271*c_1100_0^5 + 710551813/1757*c_1100_0^4 - 10047732797/31626*c_1100_0^3 - 2149106156/5271*c_1100_0^2 + 2241409771/15813*c_1100_0 + 977851556/5271, c_0011_0 - 1, c_0011_10 + c_1100_0^11 - 2*c_1100_0^10 - 5*c_1100_0^9 + 11*c_1100_0^8 + 14*c_1100_0^7 - 32*c_1100_0^6 - 22*c_1100_0^5 + 53*c_1100_0^4 + 20*c_1100_0^3 - 50*c_1100_0^2 - 8*c_1100_0 + 21, c_0011_11 + c_1100_0^11 - c_1100_0^10 - 5*c_1100_0^9 + 5*c_1100_0^8 + 14*c_1100_0^7 - 14*c_1100_0^6 - 22*c_1100_0^5 + 22*c_1100_0^4 + 20*c_1100_0^3 - 20*c_1100_0^2 - 8*c_1100_0 + 8, c_0011_12 + c_1100_0^10 - c_1100_0^9 - 5*c_1100_0^8 + 4*c_1100_0^7 + 14*c_1100_0^6 - 9*c_1100_0^5 - 22*c_1100_0^4 + 10*c_1100_0^3 + 20*c_1100_0^2 - 5*c_1100_0 - 8, c_0011_3 + c_1100_0^11 + c_1100_0^10 - 6*c_1100_0^9 - 6*c_1100_0^8 + 19*c_1100_0^7 + 19*c_1100_0^6 - 35*c_1100_0^5 - 35*c_1100_0^4 + 38*c_1100_0^3 + 38*c_1100_0^2 - 20*c_1100_0 - 20, c_0011_4 + c_1100_0^6 - c_1100_0^5 - 3*c_1100_0^4 + 2*c_1100_0^3 + 5*c_1100_0^2 - 2*c_1100_0 - 3, c_0011_5 + 1, c_0011_9 + c_1100_0^3 - c_1100_0^2 - c_1100_0 + 1, c_0101_1 + c_1100_0^2 - c_1100_0 - 1, c_0101_7 - c_1100_0^5 + c_1100_0^4 + 2*c_1100_0^3 - 2*c_1100_0^2 - c_1100_0 + 1, c_0110_11 - c_1100_0^2 + 2*c_1100_0 - 1, c_1001_2 - c_1100_0^2 + 1, c_1100_0^12 - 7*c_1100_0^10 + 25*c_1100_0^8 - 54*c_1100_0^6 + 73*c_1100_0^4 - 58*c_1100_0^2 + 21 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.390 seconds, Total memory usage: 32.09MB