Magma V2.19-8 Wed Aug 21 2013 01:11:50 on localhost [Seed = 2783165322] Type ? for help. Type -D to quit. Loading file "L14n58024__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n58024 geometric_solution 12.22891805 oriented_manifold CS_known -0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 2103 0132 0132 1 0 1 1 0 0 0 0 0 0 1 -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 1 0 -1 0 0 0 0 1 -1 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.681915414007 0.550696699788 0 0 5 4 0132 2103 0132 0132 1 0 1 1 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 1 0 -1 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 0.786472460229 1.361611996916 6 4 7 0 0132 3120 0132 0132 1 0 1 1 0 0 0 0 1 0 0 -1 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 0 0 0 0 0 0 0 0 2 0 -2 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.112407690301 0.716795874779 6 7 0 8 1023 0132 0132 0132 1 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 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 0 0 0 1.035989876320 1.280828539813 5 2 1 7 1302 3120 0132 3120 1 0 1 1 0 1 -1 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 -1 1 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 0.786472460229 1.361611996916 6 4 9 1 2031 2031 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.104557046221 0.810915297128 2 3 5 10 0132 1023 1302 0132 0 0 1 1 0 1 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 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 -0.021920759677 0.780128677267 4 3 9 2 3120 0132 3120 0132 1 0 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 0 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.843598241061 1.213008433242 11 12 3 11 0132 0132 0132 2031 1 0 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 -1 1 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 0.528030782218 0.618250752260 11 12 7 5 3012 2310 3120 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.159479050136 0.583590647875 12 12 6 11 0132 1230 0132 0132 0 0 2 1 0 -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 -1 1 0 1 0 0 -1 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.201224743790 0.935254950412 8 8 10 9 0132 1302 0132 1230 0 0 1 2 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.201224743790 0.935254950412 10 8 10 9 0132 0132 3012 3201 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 0 0 0 0 0 0 0 0 1 -1 0 -1 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 0.780128677267 1.021920759677 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : d['c_0011_9'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : negation(d['c_0101_10']), 'c_1001_4' : negation(d['c_1001_2']), 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_1001_7']), 'c_1001_8' : d['c_1001_7'], 'c_1010_12' : d['c_1001_7'], 'c_1010_11' : d['c_0101_9'], 'c_1010_10' : d['c_0101_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 'c_0101_12' : d['c_0101_11'], 'c_0101_11' : d['c_0101_11'], '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' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : negation(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' : negation(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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0101_9']), 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : negation(d['c_0101_7']), 'c_1100_0' : negation(d['c_0101_9']), 'c_1100_3' : negation(d['c_0101_9']), 'c_1100_2' : negation(d['c_0101_9']), 's_3_11' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_7']), 'c_1100_11' : d['c_0101_5'], 'c_1100_10' : d['c_0101_5'], 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0011_9'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : d['c_1001_7'], 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : negation(d['c_0011_10']), 'c_1100_8' : negation(d['c_0101_9']), 's_3_1' : negation(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' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_9']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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_9'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_2'], 'c_0011_6' : negation(d['c_0011_2']), '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_11'], 'c_0110_12' : d['c_0101_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_5']), 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_9'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : negation(d['c_0011_5']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_9'], 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_10'], 's_2_9' : d['1']})} 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_2, c_0011_5, c_0011_9, c_0101_1, c_0101_10, c_0101_11, c_0101_5, c_0101_7, c_0101_9, c_1001_2, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 58446359/5380706176*c_1001_7^6 + 227804687/2690353088*c_1001_7^5 + 2142483945/5380706176*c_1001_7^4 + 532615909/1345176544*c_1001_7^3 - 811710567/5380706176*c_1001_7^2 + 4166351623/2690353088*c_1001_7 - 10341493769/5380706176, c_0011_0 - 1, c_0011_10 - 1, c_0011_2 - 71/23536*c_1001_7^6 - 425/11768*c_1001_7^5 - 4185/23536*c_1001_7^4 - 2115/5884*c_1001_7^3 + 11959/23536*c_1001_7^2 - 4921/11768*c_1001_7 - 28423/23536, c_0011_5 + 1, c_0011_9 - 51/23536*c_1001_7^6 - 163/5884*c_1001_7^5 - 3089/23536*c_1001_7^4 - 915/2942*c_1001_7^3 + 9419/23536*c_1001_7^2 - 8159/5884*c_1001_7 - 15527/23536, c_0101_1 + 69/2942*c_1001_7^6 + 2817/23536*c_1001_7^5 + 11715/23536*c_1001_7^4 - 9275/11768*c_1001_7^3 + 7607/11768*c_1001_7^2 + 49605/23536*c_1001_7 + 2007/23536, c_0101_10 - 29/5884*c_1001_7^6 - 35/1471*c_1001_7^5 - 1119/11768*c_1001_7^4 + 1289/5884*c_1001_7^3 - 365/2942*c_1001_7^2 - 4165/5884*c_1001_7 - 35/11768, c_0101_11 - 377/23536*c_1001_7^6 - 455/5884*c_1001_7^5 - 8009/23536*c_1001_7^4 + 1543/2942*c_1001_7^3 - 25671/23536*c_1001_7^2 - 3607/5884*c_1001_7 - 18615/23536, c_0101_5 + 61/23536*c_1001_7^6 + 751/23536*c_1001_7^5 + 3637/23536*c_1001_7^4 + 3945/11768*c_1001_7^3 - 10689/23536*c_1001_7^2 + 9471/23536*c_1001_7 + 33743/23536, c_0101_7 + 51/23536*c_1001_7^6 + 163/5884*c_1001_7^5 + 3089/23536*c_1001_7^4 + 915/2942*c_1001_7^3 - 9419/23536*c_1001_7^2 + 2275/5884*c_1001_7 + 15527/23536, c_0101_9 + 29/5884*c_1001_7^6 + 35/1471*c_1001_7^5 + 1119/11768*c_1001_7^4 - 1289/5884*c_1001_7^3 + 365/2942*c_1001_7^2 + 4165/5884*c_1001_7 + 35/11768, c_1001_2 + 109/5884*c_1001_7^6 + 2257/23536*c_1001_7^5 + 9477/23536*c_1001_7^4 - 6697/11768*c_1001_7^3 + 6147/11768*c_1001_7^2 + 32945/23536*c_1001_7 + 1937/23536, c_1001_7^7 + 5*c_1001_7^6 + 21*c_1001_7^5 - 35*c_1001_7^4 + 35*c_1001_7^3 + 71*c_1001_7^2 + 7*c_1001_7 - 41 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.240 seconds, Total memory usage: 32.09MB