Magma V2.19-8 Tue Aug 20 2013 23:55:34 on localhost [Seed = 1916017205] Type ? for help. Type -D to quit. Loading file "L14n117__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n117 geometric_solution 10.31877867 oriented_manifold CS_known -0.0000000000000004 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 0 0 -2 0 3 -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 1 0 -2 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 1.552773153294 0.524322111638 0 5 5 4 0132 0132 1302 0213 1 0 0 1 0 0 0 0 2 0 0 -2 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 -1 0 0 1 0 0 0 0 1 2 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.058322159497 1.104009111822 6 0 8 7 0132 0132 0132 0132 1 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 0 0 0 1 0 -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 0.771404573356 0.617921120848 9 10 10 0 0132 0132 1302 0132 1 0 0 1 0 0 0 0 1 0 2 -3 0 0 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 -1 2 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.941677840503 1.104009111822 9 7 0 1 2310 2031 0132 0213 1 0 0 1 0 0 0 0 -1 0 1 0 0 -2 0 2 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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.265715563701 0.585612699378 1 1 11 10 2031 0132 0132 1023 1 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 0 0 0 0 0 0 0 0 0 0 0 3 -2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.047717530387 0.903268822606 2 9 9 11 0132 2103 2031 0132 1 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 1 0 -1 0 0 0 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.970838920251 0.552004555911 4 11 2 8 1302 3012 0132 3201 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -2 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 0.076802178498 1.056343319212 8 7 8 2 2310 2310 3201 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.454799280529 0.865118072139 3 6 4 6 0132 2103 3201 1302 1 0 1 0 0 0 0 0 -1 0 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 1 0 0 -1 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.095435060774 1.806537645212 3 3 11 5 2031 0132 3012 1023 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 0 2 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.552773153294 0.524322111638 7 10 6 5 1230 1230 0132 0132 1 1 0 1 0 0 0 0 0 0 0 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 -1 1 0 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 0.904981268140 0.944048612314 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : negation(d['c_0110_7']), 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_0110_10'], 'c_1001_0' : negation(d['c_0011_11']), 'c_1001_3' : d['c_0110_10'], 'c_1001_2' : negation(d['c_0110_7']), 'c_1001_9' : d['c_0011_0'], 'c_1001_8' : d['c_0101_11'], 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : d['c_0110_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], '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' : 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_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1001_11'], 'c_1100_4' : d['c_0101_10'], 'c_1100_7' : negation(d['c_0011_8']), 'c_1100_6' : d['c_1001_11'], 'c_1100_1' : d['c_0011_7'], 'c_1100_0' : d['c_0101_10'], 'c_1100_3' : d['c_0101_10'], 'c_1100_2' : negation(d['c_0011_8']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_4']), 'c_1100_11' : d['c_1001_11'], 'c_1100_10' : negation(d['c_1001_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_11']), 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : d['c_0110_10'], 'c_1010_4' : d['c_0011_7'], 'c_1010_3' : negation(d['c_0011_11']), 'c_1010_2' : negation(d['c_0011_11']), 'c_1010_1' : d['c_0101_10'], 'c_1010_0' : negation(d['c_0110_7']), 'c_1010_9' : negation(d['c_1001_11']), 'c_1010_8' : negation(d['c_0110_7']), 'c_1100_8' : negation(d['c_0011_8']), 's_3_1' : d['1'], 's_3_0' : negation(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' : d['1'], 's_3_8' : d['1'], '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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_7'], 'c_0110_10' : d['c_0110_10'], 'c_0101_7' : negation(d['c_0011_4']), 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0101_11']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0110_10'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_7' : d['c_0110_7'], '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_4, c_0011_7, c_0011_8, c_0101_0, c_0101_10, c_0101_11, c_0110_10, c_0110_7, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 283484985479/5508518445056*c_1001_11^6 - 53764025195/500774404096*c_1001_11^5 + 2020049783867/5508518445056*c_1001_11^4 - 61649254651/125193601024*c_1001_11^3 + 173160843247/250387202048*c_1001_11^2 - 2584718934443/5508518445056*c_1001_11 + 1384756604367/5508518445056, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - c_1001_11^5 + c_1001_11^4 - 4*c_1001_11^3 + 3*c_1001_11^2 - 3*c_1001_11 + 1, c_0011_4 - c_1001_11 + 1, c_0011_7 + 2*c_1001_11^6 - 3*c_1001_11^5 + 11*c_1001_11^4 - 12*c_1001_11^3 + 15*c_1001_11^2 - 9*c_1001_11 + 3, c_0011_8 + c_1001_11^4 + 2*c_1001_11^2, c_0101_0 - 1, c_0101_10 + c_1001_11^6 - c_1001_11^5 + 5*c_1001_11^4 - 4*c_1001_11^3 + 6*c_1001_11^2 - 3*c_1001_11 + 1, c_0101_11 - c_1001_11^2, c_0110_10 + c_1001_11^6 - 2*c_1001_11^5 + 6*c_1001_11^4 - 8*c_1001_11^3 + 9*c_1001_11^2 - 6*c_1001_11 + 2, c_0110_7 + c_1001_11^6 + 4*c_1001_11^4 + 3*c_1001_11^2, c_1001_11^7 - 3*c_1001_11^6 + 9*c_1001_11^5 - 16*c_1001_11^4 + 22*c_1001_11^3 - 21*c_1001_11^2 + 13*c_1001_11 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB