Magma V2.19-8 Tue Aug 20 2013 23:52:42 on localhost [Seed = 1140993937] Type ? for help. Type -D to quit. Loading file "K12n294__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n294 geometric_solution 11.97272141 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 0213 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 1 -1 1 0 0 -1 -8 8 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.362343159726 1.121663688240 0 4 6 5 0132 0132 0132 0132 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 -1 9 -8 -1 0 0 1 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.187474225495 1.650150554494 7 0 5 0 0132 0132 1230 0213 0 0 0 0 0 0 0 0 -1 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 -1 1 9 0 -9 0 0 -1 0 1 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.362343159726 1.121663688240 8 9 9 0 0132 0132 0321 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 1 0 -1 0 0 0 0 -1 0 0 1 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.619386016333 1.171481131106 8 1 10 9 3201 0132 0132 0213 0 0 0 0 0 0 0 0 -1 0 1 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 1 0 -1 9 0 -9 0 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.491827062966 0.471226878119 6 11 1 2 2103 0132 0132 3012 0 0 0 0 0 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 8 -8 0 0 -1 1 -9 0 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.071054969262 0.887791677111 7 10 5 1 2310 0213 2103 0132 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 0 9 -9 0 0 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.421116229901 0.357326322323 2 8 6 12 0132 3201 3201 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 1 0 -1 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562119373221 0.773274524183 3 12 7 4 0132 1302 2310 2310 0 0 0 0 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 0 0 0 8 1 0 -9 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.240165221837 0.487749172296 10 3 3 4 0132 0132 0321 0213 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 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.619386016333 1.171481131106 9 11 6 4 0132 0321 0213 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 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.715067259859 0.454535892493 12 5 12 10 1023 0132 3201 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.707831086108 0.670211721276 11 11 7 8 2310 1023 0132 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 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 0.786412750847 0.567877133670 ==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' : negation(d['c_0101_12']), 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_12' : d['c_0101_11'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0101_0']), 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : d['c_1001_4'], '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'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_6'], '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_11'], 'c_1100_5' : negation(d['c_0110_5']), 'c_1100_4' : d['c_1001_1'], 'c_1100_7' : negation(d['c_0011_6']), 'c_1100_6' : negation(d['c_0110_5']), 'c_1100_1' : negation(d['c_0110_5']), 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_0110_5'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_11']), 'c_1100_10' : d['c_1001_1'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0101_12']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : d['c_1001_1'], 'c_1010_8' : d['c_0011_6'], '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_0011_6']), '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_10']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], '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_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : negation(d['c_0101_3']), 'c_0110_12' : negation(d['c_0101_11']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_1']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_3']), 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0101_12'], 'c_1100_8' : d['c_0011_0'], 's_2_9' : d['1']})} 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_6, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_3, c_0110_5, c_1001_0, c_1001_1, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 333672/77*c_1001_4^3 - 8787463/539*c_1001_4^2 - 21978049/1078*c_1001_4 - 15849571/2156, c_0011_0 - 1, c_0011_10 - 28/11*c_1001_4^3 - 71/11*c_1001_4^2 - 61/11*c_1001_4 - 16/11, c_0011_11 + 7/11*c_1001_4^3 + 37/11*c_1001_4^2 + 62/11*c_1001_4 + 26/11, c_0011_6 + 7/11*c_1001_4^3 + 37/11*c_1001_4^2 + 62/11*c_1001_4 + 26/11, c_0101_0 + c_1001_4 + 1, c_0101_1 - 42/11*c_1001_4^3 - 145/11*c_1001_4^2 - 163/11*c_1001_4 - 46/11, c_0101_11 - c_1001_4, c_0101_12 - 14/11*c_1001_4^3 - 74/11*c_1001_4^2 - 102/11*c_1001_4 - 30/11, c_0101_3 - 35/11*c_1001_4^3 - 108/11*c_1001_4^2 - 112/11*c_1001_4 - 31/11, c_0110_5 + 35/11*c_1001_4^3 + 108/11*c_1001_4^2 + 112/11*c_1001_4 + 31/11, c_1001_0 - 7/11*c_1001_4^3 - 37/11*c_1001_4^2 - 62/11*c_1001_4 - 26/11, c_1001_1 - c_1001_4 - 1, c_1001_4^4 + 30/7*c_1001_4^3 + 47/7*c_1001_4^2 + 30/7*c_1001_4 + 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_6, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_3, c_0110_5, c_1001_0, c_1001_1, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 4153/20*c_1001_4^3 + 65297/140*c_1001_4^2 + 23131/70*c_1001_4 + 1307/20, c_0011_0 - 1, c_0011_10 + 28/5*c_1001_4^3 + 51/5*c_1001_4^2 + 31/5*c_1001_4 + 7/5, c_0011_11 - 21/5*c_1001_4^3 - 47/5*c_1001_4^2 - 32/5*c_1001_4 - 4/5, c_0011_6 - 21/5*c_1001_4^3 - 47/5*c_1001_4^2 - 32/5*c_1001_4 - 4/5, c_0101_0 + 21/5*c_1001_4^3 + 47/5*c_1001_4^2 + 32/5*c_1001_4 + 4/5, c_0101_1 + 14/5*c_1001_4^3 + 43/5*c_1001_4^2 + 43/5*c_1001_4 + 16/5, c_0101_11 - c_1001_4, c_0101_12 - 2*c_1001_4 - 2, c_0101_3 + 7/5*c_1001_4^3 + 4/5*c_1001_4^2 - 1/5*c_1001_4 + 3/5, c_0110_5 + 7/5*c_1001_4^3 + 4/5*c_1001_4^2 - 6/5*c_1001_4 - 7/5, c_1001_0 - 21/5*c_1001_4^3 - 47/5*c_1001_4^2 - 37/5*c_1001_4 - 9/5, c_1001_1 + 21/5*c_1001_4^3 + 47/5*c_1001_4^2 + 37/5*c_1001_4 + 9/5, c_1001_4^4 + 18/7*c_1001_4^3 + 17/7*c_1001_4^2 + 6/7*c_1001_4 + 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 4.330 Total time: 4.540 seconds, Total memory usage: 80.94MB