Magma V2.19-8 Tue Aug 20 2013 17:58:00 on localhost [Seed = 1377035800] Type ? for help. Type -D to quit. Loading file "10_158__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10_158 geometric_solution 12.27123636 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 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 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 0.048430949765 1.118942699661 0 5 4 6 0132 0132 0213 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 -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 0.261077655462 0.619706142214 7 0 9 8 0132 0132 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 1 0 -1 0 0 0 0 0 0 0 0 2 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.257482124420 0.805624713615 10 11 9 0 0132 0132 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 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 0.441048346291 0.518625345326 10 1 0 5 3012 0213 0132 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 -1 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 0.330834748280 0.537476534023 7 1 4 9 1023 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.040721047977 1.448374744142 12 8 1 8 0132 2103 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.539833573518 0.591356341734 2 5 12 11 0132 1023 0321 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 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 0.812253985863 0.717041831967 6 6 2 11 3201 2103 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.819595598994 1.053256011805 10 5 3 2 1230 0321 0321 0132 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 0 0 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 0.261077655462 0.619706142214 3 9 12 4 0132 3012 0132 1230 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 -1 1 0 0 0 0 1 0 0 -1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.169451101026 1.349315771324 7 3 12 8 3012 0132 3012 0213 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 1 -1 0 -1 0 1 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.866080612789 0.839491733887 6 11 7 10 0132 1230 0321 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 -1 0 1 0 0 0 0 -1 -2 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.322394633560 1.372332123162 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_12']), 'c_1001_10' : negation(d['c_0011_9']), 'c_1001_12' : d['c_0110_11'], 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_12']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : negation(d['c_0011_12']), 'c_1010_12' : negation(d['c_0011_9']), 'c_1010_11' : d['c_1001_3'], 'c_1010_10' : d['c_0011_4'], 's_0_10' : 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' : negation(d['c_0011_9']), 'c_0101_10' : d['c_0101_0'], '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_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' : 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_1001_3'], 'c_1100_8' : d['c_1001_3'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_9'], 'c_1100_4' : d['c_1001_9'], 'c_1100_7' : d['c_0110_11'], 'c_1100_6' : d['c_0011_8'], 'c_1100_1' : d['c_0011_8'], 'c_1100_0' : d['c_1001_9'], 'c_1100_3' : d['c_1001_9'], 'c_1100_2' : d['c_1001_3'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0110_11']), 'c_1100_10' : d['c_0101_5'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : d['c_0110_11'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_8'], 'c_1010_3' : negation(d['c_0011_12']), 'c_1010_2' : negation(d['c_0011_12']), 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_1'], 'c_1010_8' : negation(d['c_0110_11']), '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'], 'c_1100_12' : d['c_0101_5'], '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_9'], '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_0'], 'c_0011_6' : negation(d['c_0011_12']), '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_0110_11'], 'c_0110_10' : d['c_0011_4'], 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : negation(d['c_0101_12']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_4'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0011_4'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_4']), 'c_0101_8' : negation(d['c_0101_12']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : negation(d['c_0110_11']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_4'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_12']), 'c_0110_5' : negation(d['c_0011_9']), 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0101_12']})} 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_12, c_0011_4, c_0011_8, c_0011_9, c_0101_0, c_0101_12, c_0101_5, c_0110_11, c_1001_1, c_1001_3, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 5091088808/1350615*c_1001_9^5 - 2190141889/450205*c_1001_9^4 - 595601956/64315*c_1001_9^3 - 11785827757/1350615*c_1001_9^2 - 3276931808/450205*c_1001_9 - 992101238/192945, c_0011_0 - 1, c_0011_10 + 273/677*c_1001_9^5 + 52/677*c_1001_9^4 + 1112/677*c_1001_9^3 + 442/677*c_1001_9^2 + 851/677*c_1001_9 - 137/677, c_0011_12 - 767/2031*c_1001_9^5 + 91/677*c_1001_9^4 - 762/677*c_1001_9^3 + 1982/2031*c_1001_9^2 - 34/677*c_1001_9 + 2158/2031, c_0011_4 + 1157/2031*c_1001_9^5 - 1456/2031*c_1001_9^4 + 1360/2031*c_1001_9^3 - 2221/2031*c_1001_9^2 + 544/2031*c_1001_9 - 226/2031, c_0011_8 + 650/677*c_1001_9^5 + 962/677*c_1001_9^4 + 4171/2031*c_1001_9^3 + 4898/2031*c_1001_9^2 + 2210/2031*c_1001_9 + 2213/2031, c_0011_9 + 273/677*c_1001_9^5 + 52/677*c_1001_9^4 + 1112/677*c_1001_9^3 + 442/677*c_1001_9^2 + 851/677*c_1001_9 - 137/677, c_0101_0 - 1157/2031*c_1001_9^5 + 1456/2031*c_1001_9^4 - 1360/2031*c_1001_9^3 + 2221/2031*c_1001_9^2 - 544/2031*c_1001_9 + 2257/2031, c_0101_12 - 1924/2031*c_1001_9^5 + 1729/2031*c_1001_9^4 - 3646/2031*c_1001_9^3 + 1401/677*c_1001_9^2 - 646/2031*c_1001_9 + 2384/2031, c_0101_5 - 3107/2031*c_1001_9^5 - 1430/2031*c_1001_9^4 - 5531/2031*c_1001_9^3 - 2677/2031*c_1001_9^2 - 918/677*c_1001_9 + 44/2031, c_0110_11 - 1898/2031*c_1001_9^5 - 819/677*c_1001_9^4 - 3121/2031*c_1001_9^3 - 530/677*c_1001_9^2 - 1790/2031*c_1001_9 - 466/2031, c_1001_1 - 650/677*c_1001_9^5 - 962/677*c_1001_9^4 - 4171/2031*c_1001_9^3 - 4898/2031*c_1001_9^2 - 2210/2031*c_1001_9 - 2213/2031, c_1001_3 + 130/677*c_1001_9^5 - 1183/2031*c_1001_9^4 - 926/2031*c_1001_9^3 - 239/2031*c_1001_9^2 + 442/2031*c_1001_9 - 33/677, c_1001_9^6 + c_1001_9^5 + 35/13*c_1001_9^4 + 24/13*c_1001_9^3 + 33/13*c_1001_9^2 + 14/13*c_1001_9 + 7/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.900 Total time: 3.100 seconds, Total memory usage: 87.00MB