Magma V2.19-8 Tue Aug 20 2013 23:57:22 on localhost [Seed = 2244210008] Type ? for help. Type -D to quit. Loading file "L14n32698__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n32698 geometric_solution 10.34578351 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 1 0 0 0 1 -1 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 0 -1 -1 0 1 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 0.048106681154 0.503226464479 0 5 7 6 0132 0132 0132 0132 0 0 0 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 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 -0.415545313287 1.611145529095 7 0 3 6 2103 0132 0213 2103 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 -1 0 1 0 0 -1 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 0.358597225735 0.428806630151 8 2 9 0 0132 0213 0132 0132 1 0 0 1 0 0 1 -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 0 0 1 0 0 -1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.355600097821 0.737349079985 10 10 0 5 0132 2103 0132 1023 1 0 1 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 -1 1 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 1.549231824512 0.753712460704 7 1 9 4 1230 0132 1023 1023 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584445902716 0.977229945321 11 11 1 2 0132 1230 0132 2103 0 0 1 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 1 -1 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.204541527230 0.688768156686 10 5 2 1 3120 3012 2103 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.042939119145 0.604513887217 3 9 11 11 0132 1023 1230 2031 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 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 0.204541527230 0.688768156686 8 10 5 3 1023 3201 1023 0132 1 0 1 0 0 1 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.326011395991 1.187867912028 4 4 9 7 0132 2103 2310 3120 1 0 1 1 0 0 0 0 1 0 -1 0 -1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.042939119145 0.604513887217 6 8 6 8 0132 1302 3012 3012 0 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 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 0.603785063701 1.334204525714 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : negation(d['c_0011_10']), 'c_1001_5' : d['c_0101_9'], 'c_1001_4' : d['c_0011_10'], 'c_1001_7' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0101_9'], 'c_1001_1' : d['c_0101_10'], 'c_1001_0' : negation(d['c_0101_11']), 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : d['c_0011_10'], 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : d['c_0101_9'], 'c_1010_11' : negation(d['c_0101_0']), 'c_1010_10' : negation(d['c_0011_7']), 's_0_10' : negation(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_10'], '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' : 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' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(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_1100_5' : negation(d['c_1100_0']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0110_2']), 'c_1100_6' : negation(d['c_0110_2']), 'c_1100_1' : negation(d['c_0110_2']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_11']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_9']), 'c_1100_10' : negation(d['c_0011_3']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : d['c_0101_11'], 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : d['c_0011_7'], 'c_1010_3' : negation(d['c_0101_11']), 'c_1010_2' : negation(d['c_0101_11']), 'c_1010_1' : d['c_0101_9'], 'c_1010_0' : d['c_0011_10'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_0011_11'], 'c_1100_8' : d['c_0101_0'], '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' : negation(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' : 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' : d['c_0011_7'], '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_0'], 'c_0110_10' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_10']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_11'], 'c_0101_2' : d['c_0011_3'], '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' : negation(d['1']), 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_7'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_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_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_9, c_0110_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 73/350*c_1100_0^8 + 369/2800*c_1100_0^7 + 251/112*c_1100_0^6 - 7209/2800*c_1100_0^5 - 14869/2800*c_1100_0^4 + 5323/560*c_1100_0^3 - 21743/2800*c_1100_0^2 + 7229/2800*c_1100_0 + 4033/560, c_0011_0 - 1, c_0011_10 - 13/560*c_1100_0^8 + 1/70*c_1100_0^7 + 13/56*c_1100_0^6 - 59/280*c_1100_0^5 - 79/280*c_1100_0^4 + 25/28*c_1100_0^3 - 333/280*c_1100_0^2 - 71/280*c_1100_0 - 7/16, c_0011_11 + 1/80*c_1100_0^8 + 1/70*c_1100_0^7 - 9/56*c_1100_0^6 - 19/280*c_1100_0^5 + 151/280*c_1100_0^4 - 3/28*c_1100_0^3 - 23/280*c_1100_0^2 + 129/280*c_1100_0 + 15/112, c_0011_3 + 3/70*c_1100_0^8 + 13/280*c_1100_0^7 - 3/8*c_1100_0^6 - 33/280*c_1100_0^5 + 247/280*c_1100_0^4 - 37/56*c_1100_0^3 + 89/280*c_1100_0^2 + 353/280*c_1100_0 + 29/56, c_0011_7 + 1/140*c_1100_0^8 - 1/140*c_1100_0^7 - 1/28*c_1100_0^6 + 3/20*c_1100_0^5 + 1/140*c_1100_0^4 - 9/28*c_1100_0^3 + 1/20*c_1100_0^2 + 7/20*c_1100_0 + 3/7, c_0101_0 - 1, c_0101_1 + 1/280*c_1100_0^8 + 9/280*c_1100_0^7 + 1/56*c_1100_0^6 - 79/280*c_1100_0^5 - 59/280*c_1100_0^4 + 39/56*c_1100_0^3 - 33/280*c_1100_0^2 + 39/280*c_1100_0 + 25/28, c_0101_10 + 1, c_0101_11 + 3/70*c_1100_0^8 + 13/280*c_1100_0^7 - 3/8*c_1100_0^6 - 33/280*c_1100_0^5 + 247/280*c_1100_0^4 - 37/56*c_1100_0^3 + 89/280*c_1100_0^2 + 353/280*c_1100_0 + 29/56, c_0101_9 - 1/280*c_1100_0^8 - 9/280*c_1100_0^7 - 1/56*c_1100_0^6 + 79/280*c_1100_0^5 + 59/280*c_1100_0^4 - 39/56*c_1100_0^3 + 33/280*c_1100_0^2 - 39/280*c_1100_0 - 81/28, c_0110_2 - 9/560*c_1100_0^8 + 11/140*c_1100_0^7 + 15/56*c_1100_0^6 - 31/40*c_1100_0^5 - 197/280*c_1100_0^4 + 16/7*c_1100_0^3 - 57/40*c_1100_0^2 + 1/40*c_1100_0 + 375/112, c_1100_0^9 - c_1100_0^8 - 10*c_1100_0^7 + 16*c_1100_0^6 + 16*c_1100_0^5 - 50*c_1100_0^4 + 62*c_1100_0^3 - 36*c_1100_0^2 - 5*c_1100_0 - 25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.210 Total time: 0.420 seconds, Total memory usage: 32.09MB