Magma V2.19-8 Tue Aug 20 2013 23:41:00 on localhost [Seed = 2513695093] Type ? for help. Type -D to quit. Loading file "L11n42__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n42 geometric_solution 9.66534642 oriented_manifold CS_known 0.0000000000000007 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 2 0132 0132 0132 0213 1 1 1 1 0 0 0 0 0 0 -1 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 0 -1 1 0 0 4 -4 0 1 0 -1 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.776062629985 0.496824246181 0 4 5 5 0132 0132 1302 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.948225875388 0.533963272534 6 0 4 0 0132 0132 3201 0213 1 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 -1 1 -4 0 0 4 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.776062629985 0.496824246181 5 7 7 0 3012 0132 0321 0132 1 1 1 1 0 0 0 0 -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 -1 0 1 4 0 0 -4 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.586025508034 0.585113456640 2 1 6 8 2310 0132 0213 0132 1 1 1 1 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 -1 0 0 1 1 0 0 -1 -1 -3 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555509999547 0.198077440726 1 6 1 3 2031 0213 0132 1230 1 1 1 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 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.649680125147 0.818699638466 2 4 5 8 0132 0213 0213 2310 1 1 1 1 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 0 -4 4 0 0 0 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.666529998641 0.594232322177 9 3 3 8 0132 0132 0321 1023 1 1 1 1 0 0 0 0 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 1 0 -1 0 0 0 0 4 0 0 -4 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.586025508034 0.585113456640 6 10 4 7 3201 0132 0132 1023 1 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 0 0 0 0 -1 1 -4 0 0 4 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.805816999035 1.138945463729 7 10 10 10 0132 1302 1023 1230 0 1 1 1 0 1 -1 0 0 0 0 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 -1 0 1 0 0 -1 1 3 1 0 -4 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.145465912911 0.853204146677 9 8 9 9 3012 0132 1023 2031 1 0 1 1 0 0 0 0 0 0 1 -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 0 1 -1 -1 0 0 1 -1 1 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.438510718606 0.418227184066 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_9'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_4'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0110_8'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_0011_3'], 'c_1010_10' : d['c_0011_3'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : negation(d['1']), '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' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_7' : negation(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_1100_9' : d['c_0101_10'], 'c_1100_8' : negation(d['c_0110_8']), 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : negation(d['c_0110_8']), 'c_1100_7' : d['c_0110_8'], 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : negation(d['c_0011_0']), 'c_1100_10' : negation(d['c_0101_10']), 'c_1010_7' : d['c_0110_8'], 'c_1010_6' : negation(d['c_0110_8']), 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : d['c_0101_9'], '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' : negation(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' : negation(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' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_3'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), '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_10' : d['c_0101_10'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_5']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_2']), 'c_0011_10' : d['c_0011_10'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_5']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_7' : d['c_0101_9'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_5, c_0101_0, c_0101_10, c_0101_2, c_0101_9, c_0110_8, c_1001_0, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 239/709632*c_1001_4^3 + 113/101376*c_1001_4^2 - 613/709632*c_1001_4 + 493/78848, c_0011_0 - 1, c_0011_10 - 3/16*c_1001_4^3 + 1/8*c_1001_4^2 - 11/16*c_1001_4, c_0011_3 - 1/16*c_1001_4^3 + 3/8*c_1001_4^2 - 9/16*c_1001_4 + 2, c_0011_5 + 1/16*c_1001_4^3 - 1/8*c_1001_4^2 + 13/16*c_1001_4, c_0101_0 - 1/16*c_1001_4^3 + 3/8*c_1001_4^2 - 9/16*c_1001_4 + 1, c_0101_10 - 1, c_0101_2 + 1/16*c_1001_4^3 + 1/8*c_1001_4^2 + 1/16*c_1001_4 + 1, c_0101_9 + 1/4*c_1001_4^3 - 1/2*c_1001_4^2 + 5/4*c_1001_4 - 2, c_0110_8 + 1/8*c_1001_4^3 - 1/4*c_1001_4^2 + 5/8*c_1001_4 - 1, c_1001_0 - 1/16*c_1001_4^3 - 1/8*c_1001_4^2 - 1/16*c_1001_4 - 1, c_1001_4^4 - c_1001_4^3 + 11*c_1001_4^2 - 3*c_1001_4 + 48 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_5, c_0101_0, c_0101_10, c_0101_2, c_0101_9, c_0110_8, c_1001_0, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 775/44608*c_1001_0^3 - 497/22304*c_1001_0^2 + 617/44608*c_1001_0 + 171/44608, c_0011_0 - 1, c_0011_10 + 2*c_1001_0^3 - 2*c_1001_0^2 + 3*c_1001_0, c_0011_3 + 2*c_1001_0^3 - 2*c_1001_0^2 + c_1001_0, c_0011_5 - c_1001_0^2 + 1, c_0101_0 + c_1001_0^3, c_0101_10 - 1, c_0101_2 + c_1001_0, c_0101_9 - 4*c_1001_0^3 + 4*c_1001_0^2 - 4*c_1001_0, c_0110_8 + 2*c_1001_0^3 - 2*c_1001_0^2 + 2*c_1001_0, c_1001_0^4 - c_1001_0^3 + c_1001_0^2 + 1, c_1001_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.250 seconds, Total memory usage: 32.09MB