Magma V2.19-8 Tue Aug 20 2013 23:59:17 on localhost [Seed = 1259151931] Type ? for help. Type -D to quit. Loading file "L14n43212__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n43212 geometric_solution 11.28460298 oriented_manifold CS_known -0.0000000000000000 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 1 2 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 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.169909896755 0.954374300282 0 5 6 2 0132 0132 0132 1023 2 1 2 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 0 0 0 0 0 1 -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 -0.030083071293 0.889632477464 5 0 7 1 0132 0132 0132 1023 1 2 2 1 0 -1 1 0 -1 0 0 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 1 -1 0 -1 0 0 1 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.047368457993 1.257188483921 8 9 10 0 0132 0132 0132 0132 1 1 2 1 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 -1 0 0 1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.169909896755 0.954374300282 10 10 0 10 1230 2031 0132 0132 1 1 0 1 0 -1 1 0 0 0 0 0 -1 2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -1 -1 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 0.180812977510 1.015616289513 2 1 11 9 0132 0132 0132 3120 2 2 1 2 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 0 0 0 1 0 0 -1 2 0 0 -2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.157959014969 0.907522467056 9 8 11 1 3201 3120 0321 0132 2 1 1 2 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 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 0.738503317669 0.792395792252 11 8 11 2 0132 2310 3012 0132 1 2 1 2 0 0 1 -1 1 0 -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 -1 1 0 0 0 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.360558375075 0.833298740071 3 6 9 7 0132 3120 1023 3201 2 1 1 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 0 0 0 0 0 0 0 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 0.415045051623 0.477187150141 5 3 8 6 3120 0132 1023 2310 1 2 1 2 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 0 0 0 0 0 0 0 0 1 0 -1 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 0.782030281737 0.776408070716 4 4 4 3 1302 3012 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 -1 -2 1 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 -2 0 0 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.180812977510 1.015616289513 7 7 6 5 0132 1230 0321 0132 2 2 2 1 0 1 -1 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 0 0 0 0 0 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.579586360922 0.755297380546 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0011_10'], 'c_1001_5' : d['c_0101_5'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : negation(d['c_0101_9']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_3']), 'c_1001_9' : d['c_0101_0'], 'c_1001_8' : d['c_0101_9'], 'c_1010_11' : d['c_0101_5'], 'c_1010_10' : negation(d['c_0101_1']), '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_0011_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0011_11']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_9']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1001_11']), 'c_1100_6' : d['c_1001_11'], 'c_1100_1' : d['c_1001_11'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1001_11']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_9']), 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_3']), 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : negation(d['c_0101_3']), 'c_1010_9' : negation(d['c_0101_1']), 'c_1010_8' : d['c_0011_11'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_1_7' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : d['c_0101_3'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : negation(d['c_0101_11']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_3'], '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_5'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0101_11'], 'c_1100_8' : d['c_0011_11']})} 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_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0101_5, c_0101_9, c_1001_11, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 447/256*c_1100_0^6 + 36819/2048*c_1100_0^5 + 78715/1024*c_1100_0^4 + 364111/2048*c_1100_0^3 + 122921/512*c_1100_0^2 + 11807/64*c_1100_0 + 2081/32, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 1/2*c_1100_0^5 + 45/16*c_1100_0^4 + 41/8*c_1100_0^3 + 57/16*c_1100_0^2 - 5/4*c_1100_0 - 3, c_0011_3 + 1, c_0101_0 - c_1100_0^6 - 61/8*c_1100_0^5 - 51/2*c_1100_0^4 - 401/8*c_1100_0^3 - 243/4*c_1100_0^2 - 89/2*c_1100_0 - 16, c_0101_1 - 1, c_0101_11 - 5/8*c_1100_0^6 - 289/64*c_1100_0^5 - 417/32*c_1100_0^4 - 1237/64*c_1100_0^3 - 211/16*c_1100_0^2 - 1/4*c_1100_0 + 5, c_0101_3 + c_1100_0 + 1, c_0101_5 + 1/8*c_1100_0^6 - 51/64*c_1100_0^5 - 261/32*c_1100_0^4 - 1607/64*c_1100_0^3 - 339/8*c_1100_0^2 - 153/4*c_1100_0 - 17, c_0101_9 - 11/4*c_1100_0^6 - 703/32*c_1100_0^5 - 307/4*c_1100_0^4 - 5047/32*c_1100_0^3 - 3215/16*c_1100_0^2 - 609/4*c_1100_0 - 57, c_1001_11 + 7/8*c_1100_0^6 + 539/64*c_1100_0^5 + 1077/32*c_1100_0^4 + 4815/64*c_1100_0^3 + 825/8*c_1100_0^2 + 331/4*c_1100_0 + 33, c_1100_0^7 + 77/8*c_1100_0^6 + 163/4*c_1100_0^5 + 809/8*c_1100_0^4 + 161*c_1100_0^3 + 166*c_1100_0^2 + 104*c_1100_0 + 32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.240 seconds, Total memory usage: 32.09MB