Magma V2.19-8 Tue Aug 20 2013 23:44:17 on localhost [Seed = 3280315966] Type ? for help. Type -D to quit. Loading file "L14n25136__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25136 geometric_solution 9.63751442 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 0 0 1 2 1230 3012 0132 0132 1 1 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 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 0.756206231559 0.489782579599 3 2 4 0 0132 3012 0132 0132 1 1 1 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 1 0 -1 -3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.899940666473 0.567638056227 1 5 0 6 1230 0132 0132 0132 1 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 1 -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 0 0 0 0.899940666473 0.567638056227 1 5 5 6 0132 3012 1230 3120 0 1 0 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 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.346586634987 0.743946571741 6 7 8 1 3120 0132 0132 0132 1 1 0 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 0 0 0 0 0 0 -1 0 1 0 0 2 0 -2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.528217658532 0.257794367545 3 2 7 3 1230 0132 0321 3012 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.346586634987 0.743946571741 3 9 2 4 3120 0132 0132 3120 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 0 1 -1 0 0 -1 1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.792391048555 0.419872937196 10 4 5 9 0132 0132 0321 0213 1 0 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 0 1 0 -1 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 0.137497930579 1.505024670516 10 9 10 4 2031 0213 3012 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 0 -6 0 7 -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 0.811498880317 0.550858178739 10 6 8 7 3012 0132 0213 0213 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 -1 0 1 0 0 0 0 0 -2 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.255411315812 1.074200513314 7 8 8 9 0132 1230 1302 1230 1 0 0 1 0 1 -1 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 -7 6 1 -1 0 1 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 0.156424293335 0.572632432001 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_4'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_2']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : negation(d['c_0101_0']), 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_10' : d['c_0011_8'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_8']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_1001_4'], 'c_1100_8' : negation(d['c_0101_4']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0101_4']), 'c_1100_7' : d['c_1001_5'], 'c_1100_6' : negation(d['c_0101_4']), 'c_1100_1' : negation(d['c_0101_4']), 'c_1100_0' : negation(d['c_0101_4']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : negation(d['c_0101_4']), 'c_1100_10' : d['c_0011_8'], 'c_1010_7' : d['c_1001_4'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : d['c_1001_5'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0']), 'c_1010_9' : d['c_1001_5'], 'c_1010_8' : d['c_1001_4'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(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_6']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_2'], 'c_0110_10' : negation(d['c_0011_6']), 'c_0101_7' : negation(d['c_0011_6']), 'c_0101_6' : d['c_0011_1'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_8'], 'c_0101_8' : d['c_0011_8'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_8'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : negation(d['c_0011_1']), 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : negation(d['c_0011_8']), 'c_0110_6' : d['c_0101_1']})} 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_1, c_0011_10, c_0011_2, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_4, c_1001_4, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 10127/6608*c_1001_5^6 + 1023/3304*c_1001_5^5 + 1595/826*c_1001_5^4 - 76855/6608*c_1001_5^3 + 99315/6608*c_1001_5^2 + 7503/3304*c_1001_5 - 6169/413, c_0011_0 - 1, c_0011_1 - 1, c_0011_10 + 25/413*c_1001_5^6 + 17/413*c_1001_5^5 - 5/413*c_1001_5^4 - 206/413*c_1001_5^3 - 131/413*c_1001_5^2 + 333/413*c_1001_5 - 307/413, c_0011_2 - 1, c_0011_6 + 53/826*c_1001_5^6 + 3/826*c_1001_5^5 + 36/413*c_1001_5^4 - 255/826*c_1001_5^3 + 365/413*c_1001_5^2 - 87/826*c_1001_5 - 185/413, c_0011_8 - 135/826*c_1001_5^6 - 257/826*c_1001_5^5 - 193/413*c_1001_5^4 + 369/826*c_1001_5^3 - 18/413*c_1001_5^2 - 1633/826*c_1001_5 + 292/413, c_0101_0 - 53/826*c_1001_5^6 - 3/826*c_1001_5^5 - 36/413*c_1001_5^4 + 255/826*c_1001_5^3 - 365/413*c_1001_5^2 + 87/826*c_1001_5 + 598/413, c_0101_1 - c_1001_5, c_0101_4 - 53/826*c_1001_5^6 - 3/826*c_1001_5^5 - 36/413*c_1001_5^4 + 255/826*c_1001_5^3 - 365/413*c_1001_5^2 - 739/826*c_1001_5 + 598/413, c_1001_4 + 153/826*c_1001_5^6 + 71/826*c_1001_5^5 + 26/413*c_1001_5^4 - 1079/826*c_1001_5^3 + 516/413*c_1001_5^2 + 2071/826*c_1001_5 - 799/413, c_1001_5^7 + c_1001_5^6 + 2*c_1001_5^5 - 5*c_1001_5^4 + 6*c_1001_5^3 + 9*c_1001_5^2 - 10*c_1001_5 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB