Magma V2.19-8 Tue Aug 20 2013 17:58:35 on localhost [Seed = 3701303414] Type ? for help. Type -D to quit. Loading file "10^3_55__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^3_55 geometric_solution 11.57189681 oriented_manifold CS_known 0.0000000000000006 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 1302 0132 0132 2 2 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 -1 0 1 1 0 -1 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 0.639447969739 1.669095623751 0 4 2 0 0132 0132 3012 2031 1 2 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 1 0 -1 -1 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 0.123651275619 0.572416144369 3 1 5 0 0132 1230 0132 0132 2 2 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 -1 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 -0.160397656803 1.146650007185 2 5 0 6 0132 0132 0132 0132 2 2 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 -1 1 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 0.329013310048 0.413751618953 7 1 8 9 0132 0132 0132 0132 1 1 1 1 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 0 0 0 0 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.799845626543 0.522445616566 9 3 10 2 1230 0132 0132 0132 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.755536361387 0.677852922568 11 11 3 10 0132 1230 0132 0132 2 2 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 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 0.537894290268 0.911485869975 4 8 11 8 0132 3120 3012 3012 0 1 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 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 1.101553679471 0.757609753776 12 7 7 4 0132 3120 1230 0132 1 1 1 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 0 0 0 1 0 -1 0 -2 0 0 2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.383709318528 0.423862985660 11 5 4 12 3012 3012 0132 1302 1 1 2 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 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 1.466251272606 0.663385657305 12 12 6 5 3012 0132 0132 0132 2 2 1 0 0 -1 1 0 0 0 0 0 -1 1 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 -2 2 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.650492627264 0.548524211090 6 7 6 9 0132 1230 3012 1230 1 2 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 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 0.519795876614 0.813727308672 8 10 9 10 0132 0132 2031 1230 2 1 0 1 0 1 -1 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 -1 1 0 -1 0 -1 2 1 1 0 -2 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.101553679471 0.757609753776 ==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' : d['c_0101_10'], 'c_1001_12' : negation(d['c_0110_9']), 'c_1001_5' : negation(d['c_0110_9']), 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : negation(d['c_0110_9']), 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_2']), 'c_1001_8' : d['c_0011_11'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : d['c_0101_7'], 'c_1010_10' : negation(d['c_0110_9']), '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' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(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' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_12'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_0101_12'], 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_12'], 'c_1100_11' : d['c_0110_9'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_0110_9']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_5']), 'c_1010_8' : d['c_0011_0'], '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' : 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' : negation(d['1']), 'c_1100_12' : d['c_0101_5'], 's_1_7' : negation(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' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_0']), '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' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : d['c_0011_9'], 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_9'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_12'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_9'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_0'], 'c_0110_3' : d['c_0011_9'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_9'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : d['c_0101_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_2, c_0011_9, c_0101_0, c_0101_10, c_0101_12, c_0101_5, c_0101_7, c_0110_9, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 21/16*c_1100_0^6 + 13/4*c_1100_0^5 - 37/4*c_1100_0^4 + 213/16*c_1100_0^3 - 269/16*c_1100_0^2 + 211/16*c_1100_0 - 115/16, c_0011_0 - 1, c_0011_10 - 5/8*c_1100_0^6 + 3/2*c_1100_0^5 - 7/2*c_1100_0^4 + 37/8*c_1100_0^3 - 37/8*c_1100_0^2 + 27/8*c_1100_0 - 11/8, c_0011_11 + 1, c_0011_2 + c_1100_0, c_0011_9 + c_1100_0^2 - c_1100_0 + 1, c_0101_0 - 1, c_0101_10 + 1/8*c_1100_0^6 - 1/2*c_1100_0^5 + 1/2*c_1100_0^4 - 9/8*c_1100_0^3 + 1/8*c_1100_0^2 + 1/8*c_1100_0 - 1/8, c_0101_12 - 3*c_1100_0^6 + 8*c_1100_0^5 - 21*c_1100_0^4 + 32*c_1100_0^3 - 38*c_1100_0^2 + 32*c_1100_0 - 17, c_0101_5 + c_1100_0^4 - c_1100_0^3 + 3*c_1100_0^2 - 2*c_1100_0 + 1, c_0101_7 + 4*c_1100_0^6 - 11*c_1100_0^5 + 28*c_1100_0^4 - 42*c_1100_0^3 + 48*c_1100_0^2 - 39*c_1100_0 + 20, c_0110_9 - c_1100_0^3 + c_1100_0^2 - 2*c_1100_0 + 1, c_1001_2 + c_1100_0 - 1, c_1100_0^7 - 3*c_1100_0^6 + 8*c_1100_0^5 - 13*c_1100_0^4 + 16*c_1100_0^3 - 14*c_1100_0^2 + 8*c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB