Magma V2.19-8 Tue Aug 20 2013 23:56:00 on localhost [Seed = 3035815059] Type ? for help. Type -D to quit. Loading file "L14n13522__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13522 geometric_solution 10.99129680 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 2103 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 0 0 0 0 0 0 1 0 -1 -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 0.825988743587 0.788887750870 0 4 5 0 0132 0132 0132 2103 0 1 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 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 0.825988743587 0.788887750870 6 0 8 7 0132 0132 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 -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 0 0 0.380065441448 0.393207251072 4 9 4 0 3120 0132 2103 0132 0 1 0 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 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 0.266633328713 1.208794024775 3 1 8 3 2103 0132 2310 3120 0 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 -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 0.825988743587 0.788887750870 6 7 6 1 3012 1023 1023 0132 0 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 0 0 0 0 0 0 0 0 7 0 -8 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 0.510333615986 0.518869141487 2 10 5 5 0132 0132 1023 1230 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 0 0 0 -1 8 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.962019583229 1.019392573269 5 11 2 9 1023 0132 0132 1230 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 -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 0.834450921601 1.279366253824 10 4 10 2 2310 3201 1230 0132 0 0 0 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 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 -0.037980416771 1.019392573269 7 3 11 10 3012 0132 3201 3120 0 0 0 0 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 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 0.401715096811 0.667967917440 9 6 8 8 3120 0132 3201 3012 1 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 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 0.490408104911 0.481626022938 9 7 11 11 2310 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.474315611629 0.320322732289 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_9'], 'c_1001_10' : d['c_0101_5'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_1001_2']), 'c_1001_7' : negation(d['c_0101_11']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0101_11']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_11']), 'c_1001_8' : d['c_0011_8'], 'c_1010_11' : negation(d['c_0101_11']), 'c_1010_10' : d['c_0101_5'], 's_0_10' : negation(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_11'], 's_2_0' : negation(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_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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_0011_8'], 'c_1100_7' : d['c_0110_10'], 'c_1100_6' : d['c_0101_1'], 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : d['c_0110_10'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_11'], 'c_1100_10' : negation(d['c_0011_8']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_9'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0101_11']), 'c_1010_2' : negation(d['c_0101_11']), 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_0'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_0110_10'], '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' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), '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' : negation(d['c_0101_9']), 'c_0110_10' : d['c_0110_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_8']), 'c_0101_3' : negation(d['c_0011_8']), 'c_0101_2' : negation(d['c_0011_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' : negation(d['c_0101_5']), 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0110_10'], 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_11']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : negation(d['c_0011_3']), 'c_0110_6' : negation(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_11, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_5, c_0101_6, c_0101_9, c_0110_10, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 8782999/137*c_1001_2^7 - 314054812/137*c_1001_2^6 - 1768129734/137*c_1001_2^5 - 3627444625/137*c_1001_2^4 - 3462029413/137*c_1001_2^3 - 1663101526/137*c_1001_2^2 - 389439752/137*c_1001_2 - 35295778/137, c_0011_0 - 1, c_0011_11 - 134*c_1001_2^7 - 4770*c_1001_2^6 - 26217*c_1001_2^5 - 51316*c_1001_2^4 - 45507*c_1001_2^3 - 19723*c_1001_2^2 - 4041*c_1001_2 - 312, c_0011_3 + c_1001_2, c_0011_8 + c_1001_2^7 + 35*c_1001_2^6 + 175*c_1001_2^5 + 287*c_1001_2^4 + 208*c_1001_2^3 + 78*c_1001_2^2 + 13*c_1001_2 + 1, c_0101_0 - 1, c_0101_1 - c_1001_2^7 - 35*c_1001_2^6 - 175*c_1001_2^5 - 287*c_1001_2^4 - 208*c_1001_2^3 - 78*c_1001_2^2 - 13*c_1001_2 - 1, c_0101_11 - c_1001_2^7 - 36*c_1001_2^6 - 210*c_1001_2^5 - 462*c_1001_2^4 - 495*c_1001_2^3 - 286*c_1001_2^2 - 90*c_1001_2 - 13, c_0101_5 - 196*c_1001_2^7 - 6992*c_1001_2^6 - 38878*c_1001_2^5 - 77896*c_1001_2^4 - 71787*c_1001_2^3 - 32967*c_1001_2^2 - 7320*c_1001_2 - 625, c_0101_6 + 266*c_1001_2^7 + 9480*c_1001_2^6 + 52439*c_1001_2^5 + 103979*c_1001_2^4 + 94205*c_1001_2^3 + 42174*c_1001_2^2 + 9046*c_1001_2 + 741, c_0101_9 + 163*c_1001_2^7 + 5832*c_1001_2^6 + 32941*c_1001_2^5 + 67997*c_1001_2^4 + 65487*c_1001_2^3 + 31822*c_1001_2^2 + 7542*c_1001_2 + 689, c_0110_10 - 2*c_1001_2^7 - 60*c_1001_2^6 + 5*c_1001_2^5 + 1347*c_1001_2^4 + 3191*c_1001_2^3 + 2728*c_1001_2^2 + 964*c_1001_2 + 117, c_1001_2^8 + 36*c_1001_2^7 + 210*c_1001_2^6 + 462*c_1001_2^5 + 495*c_1001_2^4 + 286*c_1001_2^3 + 91*c_1001_2^2 + 15*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.290 seconds, Total memory usage: 32.09MB