Magma V2.19-8 Tue Aug 20 2013 23:39:56 on localhost [Seed = 2378950975] Type ? for help. Type -D to quit. Loading file "K14n21098__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n21098 geometric_solution 9.93468203 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 3 0132 0132 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.011296457767 1.029843916804 0 4 3 5 0132 0132 2310 0132 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 0 0 -1 4 0 -3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.037857967486 2.082955010232 6 0 7 5 0132 0132 0132 1230 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 1 -1 0 0 0 0 0 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.364622486222 0.390480499129 8 1 0 0 0132 3201 1230 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.011296457767 1.029843916804 9 1 6 8 0132 0132 2031 3012 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 -1 0 1 0 1 -1 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.214504593037 0.502194181806 2 7 1 10 3012 2031 0132 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 0 0 0 0 0 0 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.029351457768 0.645164662403 2 9 7 4 0132 0132 0321 1302 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 1 -1 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 0.920125460305 0.784026285277 5 8 6 2 1302 2310 0321 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.939265196871 1.142340740099 3 10 4 7 0132 2310 1230 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.214504593037 0.502194181806 4 6 10 10 0132 0132 2310 1230 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 1 0 -1 0 -4 3 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.734972325035 0.926996765874 9 9 5 8 3012 3201 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.734972325035 0.926996765874 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_7'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_3']), 'c_1001_9' : d['c_1001_8'], 'c_1001_8' : d['c_1001_8'], 'c_1010_10' : negation(d['c_1001_8']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], '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_10' : 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_1100_9' : d['c_0011_10'], 'c_1100_8' : negation(d['c_0011_7']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_1001_8']), 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : d['c_0101_10'], 'c_1100_10' : d['c_0011_3'], 'c_1010_7' : negation(d['c_0101_3']), 'c_1010_6' : d['c_1001_8'], 'c_1010_5' : d['c_0011_7'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_3']), 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : negation(d['c_0011_10']), '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'], '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_0']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0110_6' : d['c_0101_2'], '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_0011_10'], 'c_0011_6' : d['c_0011_0'], 'c_0101_7' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_10'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_7']), 'c_0101_8' : d['c_0101_0'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0011_7']), 'c_0110_7' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10']})} 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_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 287/13*c_1001_8^5 + 1149/26*c_1001_8^4 + 91/4*c_1001_8^3 - 1188/13*c_1001_8^2 + 490/13*c_1001_8 + 1593/52, c_0011_0 - 1, c_0011_10 - 10/13*c_1001_8^5 - 1/13*c_1001_8^4 + 1/2*c_1001_8^3 + 2/13*c_1001_8^2 - 14/13*c_1001_8 - 17/26, c_0011_3 + 1, c_0011_5 + 22/13*c_1001_8^5 - 29/13*c_1001_8^4 - 3/2*c_1001_8^3 + 45/13*c_1001_8^2 - 3/13*c_1001_8 - 25/26, c_0011_7 - c_1001_8, c_0101_0 - 6/13*c_1001_8^5 - 11/13*c_1001_8^4 + 3/2*c_1001_8^3 + 9/13*c_1001_8^2 - 24/13*c_1001_8 - 5/26, c_0101_1 - 28/13*c_1001_8^5 + 18/13*c_1001_8^4 + 3*c_1001_8^3 - 62/13*c_1001_8^2 - 8/13*c_1001_8 + 10/13, c_0101_10 - 24/13*c_1001_8^5 + 8/13*c_1001_8^4 + 4*c_1001_8^3 - 55/13*c_1001_8^2 - 18/13*c_1001_8 + 3/13, c_0101_2 + 6/13*c_1001_8^5 + 11/13*c_1001_8^4 - 3/2*c_1001_8^3 - 9/13*c_1001_8^2 + 24/13*c_1001_8 + 5/26, c_0101_3 + 6/13*c_1001_8^5 + 11/13*c_1001_8^4 - 3/2*c_1001_8^3 - 9/13*c_1001_8^2 + 24/13*c_1001_8 + 5/26, c_1001_8^6 - 1/2*c_1001_8^5 - 7/4*c_1001_8^4 + 7/4*c_1001_8^3 + c_1001_8^2 - 1/4*c_1001_8 - 1/4 ], 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_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 16/9*c_1001_8^7 - 2/3*c_1001_8^6 - 61/9*c_1001_8^5 + 2/9*c_1001_8^4 + 148/9*c_1001_8^3 + 172/9*c_1001_8^2 + 40/3*c_1001_8 + 50/9, c_0011_0 - 1, c_0011_10 + 2/9*c_1001_8^7 - 11/9*c_1001_8^5 + 1/9*c_1001_8^4 + 32/9*c_1001_8^3 + 14/9*c_1001_8^2 - 1/3*c_1001_8 + 1/9, c_0011_3 + 1, c_0011_5 + 14/9*c_1001_8^7 - 8/3*c_1001_8^6 - 38/9*c_1001_8^5 + 70/9*c_1001_8^4 + 95/9*c_1001_8^3 - 19/9*c_1001_8^2 - 3*c_1001_8 + 10/9, c_0011_7 - c_1001_8, c_0101_0 - 5/9*c_1001_8^7 + 1/3*c_1001_8^6 + 26/9*c_1001_8^5 - 16/9*c_1001_8^4 - 65/9*c_1001_8^3 - 17/9*c_1001_8^2 + 8/3*c_1001_8 + 5/9, c_0101_1 - 8/9*c_1001_8^7 + c_1001_8^6 + 26/9*c_1001_8^5 - 22/9*c_1001_8^4 - 65/9*c_1001_8^3 - 38/9*c_1001_8^2 - 2/3*c_1001_8 + 5/9, c_0101_10 - 1/3*c_1001_8^7 + 1/3*c_1001_8^6 + 5/3*c_1001_8^5 - 5/3*c_1001_8^4 - 14/3*c_1001_8^3 + 5/3*c_1001_8^2 + 7/3*c_1001_8 - 1/3, c_0101_2 + 4/9*c_1001_8^7 - c_1001_8^6 - 4/9*c_1001_8^5 + 20/9*c_1001_8^4 + 10/9*c_1001_8^3 - 8/9*c_1001_8^2 + 4/3*c_1001_8 + 2/9, c_0101_3 + 4/9*c_1001_8^7 - c_1001_8^6 - 4/9*c_1001_8^5 + 20/9*c_1001_8^4 + 10/9*c_1001_8^3 - 8/9*c_1001_8^2 + 4/3*c_1001_8 + 2/9, c_1001_8^8 - c_1001_8^7 - 4*c_1001_8^6 + 3*c_1001_8^5 + 11*c_1001_8^4 + 3*c_1001_8^3 - 4*c_1001_8^2 - c_1001_8 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.550 Total time: 0.770 seconds, Total memory usage: 32.09MB