Magma V2.19-8 Wed Aug 21 2013 01:04:27 on localhost [Seed = 3516385680] Type ? for help. Type -D to quit. Loading file "L14n24289__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24289 geometric_solution 11.46843352 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 1023 1 1 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 -1 1 -1 0 0 1 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.648017408864 1.040209980427 0 4 5 0 0132 0132 0132 1023 1 1 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 1 -1 1 0 0 -1 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.648017408864 1.040209980427 6 0 5 4 0132 0132 1023 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.648017408864 1.040209980427 5 7 4 0 0132 0132 1023 0132 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 -1 0 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 0.293502378844 0.597611581642 8 1 3 2 0132 0132 1023 1023 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 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 0.648017408864 1.040209980427 3 9 2 1 0132 0132 1023 0132 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 1 0 -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 0.293502378844 0.597611581642 2 8 10 11 0132 0132 0132 0132 1 1 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 -1 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 0 0.293502378844 0.597611581642 12 3 10 11 0132 0132 0213 0321 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 -1 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 0.837335451311 0.468971516678 4 6 10 11 0132 0132 1023 1023 1 1 0 0 0 0 1 -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 1 5 -6 0 0 0 0 2 0 0 -2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.293502378844 0.597611581642 12 5 10 11 2310 0132 1302 1230 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 0 0 0 0 0 0 -1 -5 6 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 0 0.837335451311 0.468971516678 9 7 8 6 2031 0213 1023 0132 1 1 0 0 0 0 0 0 1 0 -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 1 0 -1 5 0 -5 0 0 0 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.484147837496 0.492442482800 9 7 6 8 3012 0321 0132 1023 1 1 0 0 0 0 0 0 -1 0 0 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 0 0 0 -6 0 0 6 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.443355641165 3.236446365041 7 12 9 12 0132 1302 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.188326197266 0.853333165660 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0101_8'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_0101_11'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : d['c_0101_6'], 'c_1001_0' : d['c_0101_8'], 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : d['c_0101_6'], 'c_1001_8' : d['c_0101_10'], 'c_1010_12' : d['c_0011_12'], 'c_1010_11' : d['c_0101_4'], 'c_1010_10' : d['c_0101_10'], 's_3_11' : 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_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1100_0']), 'c_1100_4' : negation(d['c_1100_0']), 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_1100_10'], 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1100_10'], 'c_1100_10' : d['c_1100_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_4'], 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0101_8'], 'c_1010_2' : d['c_0101_8'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_0101_10'], 'c_1100_8' : negation(d['c_1100_10']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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_12']), '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_12'], 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_12']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_12']), '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_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0101_6'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : negation(d['c_0011_11']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0101_4'], '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_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : negation(d['c_0011_11']), 'c_0110_6' : d['c_0101_11']})} 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_12, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_4, c_0101_6, c_0101_8, c_1100_0, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 4356589/336875*c_1100_10^2 - 1367812/67375*c_1100_10 + 10127797/336875, c_0011_0 - 1, c_0011_10 - 2*c_1100_10^2 + 2*c_1100_10 - 1, c_0011_11 + c_1100_10^2 + 2*c_1100_10 - 3, c_0011_12 - 2*c_1100_10^2 + 3*c_1100_10 - 3, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 + c_1100_10 - 1, c_0101_11 + 2*c_1100_10^2 - 3*c_1100_10 + 2, c_0101_4 + 2*c_1100_10^2 - 3*c_1100_10 + 2, c_0101_6 + c_1100_10^2 - 2*c_1100_10 + 1, c_0101_8 + c_1100_10^2 - 2*c_1100_10 + 1, c_1100_0 - c_1100_10^2 + 2*c_1100_10, c_1100_10^3 - 2*c_1100_10^2 + 3*c_1100_10 - 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_12, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_4, c_0101_6, c_0101_8, c_1100_0, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 10651/115*c_1100_10^3 - 5754/23*c_1100_10^2 - 87912/115*c_1100_10 + 25844/115, c_0011_0 - 1, c_0011_10 - 7/23*c_1100_10^3 - 24/23*c_1100_10^2 - 67/23*c_1100_10 - 51/23, c_0011_11 + 7/23*c_1100_10^3 + 24/23*c_1100_10^2 + 90/23*c_1100_10 + 74/23, c_0011_12 - 1/23*c_1100_10^3 - 10/23*c_1100_10^2 - 26/23*c_1100_10 - 27/23, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 + 3/23*c_1100_10^3 + 7/23*c_1100_10^2 + 32/23*c_1100_10 + 12/23, c_0101_11 + 1/23*c_1100_10^3 + 10/23*c_1100_10^2 + 26/23*c_1100_10 + 4/23, c_0101_4 + 1/23*c_1100_10^3 + 10/23*c_1100_10^2 + 26/23*c_1100_10 + 4/23, c_0101_6 - 3/23*c_1100_10^3 - 7/23*c_1100_10^2 - 9/23*c_1100_10 + 11/23, c_0101_8 - 3/23*c_1100_10^3 - 7/23*c_1100_10^2 - 9/23*c_1100_10 + 11/23, c_1100_0 + 3/23*c_1100_10^3 + 7/23*c_1100_10^2 + 9/23*c_1100_10 + 12/23, c_1100_10^4 + 4*c_1100_10^3 + 12*c_1100_10^2 + 9*c_1100_10 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.170 Total time: 0.370 seconds, Total memory usage: 32.09MB