Magma V2.19-8 Wed Aug 21 2013 00:57:14 on localhost [Seed = 1696825276] Type ? for help. Type -D to quit. Loading file "L13n3935__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3935 geometric_solution 11.91846510 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 -1 0 1 -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 -5 1 4 -5 0 5 0 1 0 0 -1 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.202597607356 1.262027301743 0 5 6 3 0132 0132 0132 0321 1 1 0 1 0 0 0 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 1 -1 5 0 -5 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.343391857965 0.957239133120 5 0 8 7 0132 0132 0132 0132 1 1 0 1 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 5 -5 0 4 0 -4 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 -0.084725835187 0.661735459495 8 1 7 0 2031 0321 2031 0132 1 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 0 0 0 0 1 0 -1 5 0 0 -5 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.040259764846 0.919473264712 9 6 0 10 0132 3120 0132 0132 1 1 1 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 0 0 0 0 4 -4 0 0 0 0 0 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.365491569316 0.423783350040 2 1 11 10 0132 0132 0132 0321 1 1 1 0 0 0 0 0 -1 0 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 0 0 -4 0 0 4 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.354630196397 1.097258890199 10 4 12 1 0321 3120 0132 0132 1 1 1 1 0 0 0 0 -1 0 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 1 0 -1 -5 0 0 5 0 1 0 -1 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.148209236726 1.188781482912 12 11 2 3 2103 0132 0132 1302 1 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 0.394871447785 0.823004020274 9 12 3 2 3120 2103 1302 0132 1 1 1 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 0 -5 5 -4 0 0 4 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.412207094614 1.453995474480 4 11 12 8 0132 2031 3201 3120 0 1 1 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 0 0 0 0 0 0 0 1 0 -1 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.941380153478 0.989685145832 6 5 4 11 0321 0321 0132 3012 1 1 1 1 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 5 -4 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.648311787676 0.818021550999 9 7 10 5 1302 0132 1230 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 0 0 0 0 -1 2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508302153879 0.563619539344 9 8 7 6 2310 2103 2103 0132 1 1 1 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 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.563310926824 0.952319861860 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_6']), 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_1001_2']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0110_7']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_12']), 'c_1001_8' : d['c_0011_12'], 'c_1010_12' : negation(d['c_1001_2']), 'c_1010_11' : d['c_1001_0'], 'c_1010_10' : negation(d['c_0011_4']), '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_0011_4'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(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' : 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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_1001_11']), 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : negation(d['c_0110_7']), 'c_1100_1' : negation(d['c_0110_7']), 'c_1100_0' : negation(d['c_1001_11']), 'c_1100_3' : negation(d['c_1001_11']), 'c_1100_2' : d['c_0101_3'], 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0011_12']), 'c_1100_11' : negation(d['c_0011_6']), 'c_1100_10' : negation(d['c_1001_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_0101_3'], 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_0110_7']), '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_12']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_12'], 'c_0110_10' : negation(d['c_0011_6']), 'c_0110_12' : negation(d['c_0101_10']), 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_12'], 'c_0101_6' : negation(d['c_0101_10']), 'c_0101_5' : d['c_0101_12'], 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : negation(d['c_0011_10']), 'c_0101_0' : d['c_0011_12'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0011_12'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0011_12'], 'c_0110_0' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0011_12'], 'c_0110_2' : d['c_0101_12'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : negation(d['c_0011_10'])})} 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_0011_4, c_0011_6, c_0101_10, c_0101_12, c_0101_3, c_0110_7, c_1001_0, c_1001_11, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 15379/425*c_1001_2^8 - 32857/425*c_1001_2^7 + 5487/85*c_1001_2^6 + 6524/425*c_1001_2^5 - 54267/425*c_1001_2^4 + 39986/425*c_1001_2^3 + 7258/425*c_1001_2^2 - 28939/425*c_1001_2 + 18012/425, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + c_1001_2^8 + c_1001_2^7 + c_1001_2^6 + 2*c_1001_2^5 + c_1001_2^4 - c_1001_2^2 - c_1001_2, c_0011_12 - c_1001_2^7 - c_1001_2^6 - 2*c_1001_2^5 - 2*c_1001_2^4 - 2*c_1001_2^3 - c_1001_2^2, c_0011_4 - c_1001_2^4 - c_1001_2^2 - c_1001_2, c_0011_6 - c_1001_2^8 - 2*c_1001_2^6 - c_1001_2^5 - 2*c_1001_2^4 - c_1001_2^3 - c_1001_2, c_0101_10 + 2*c_1001_2^8 + 4*c_1001_2^6 + 2*c_1001_2^5 + 3*c_1001_2^4 + 2*c_1001_2^3 + 2*c_1001_2, c_0101_12 - c_1001_2^6 - c_1001_2^5 - 2*c_1001_2^4 - 2*c_1001_2^3 - 2*c_1001_2^2 - c_1001_2, c_0101_3 - c_1001_2^8 - c_1001_2^7 - c_1001_2^6 - 2*c_1001_2^5 - c_1001_2^4 - c_1001_2^3 - 1, c_0110_7 - c_1001_2^8 - c_1001_2^6 - c_1001_2^5 - c_1001_2^4 - c_1001_2 - 1, c_1001_0 + c_1001_2^8 + 2*c_1001_2^7 + 2*c_1001_2^6 + 4*c_1001_2^5 + 3*c_1001_2^4 + 3*c_1001_2^3 + c_1001_2^2 + 1, c_1001_11 + c_1001_2^7 + 2*c_1001_2^5 + c_1001_2^4 + 2*c_1001_2^3 + c_1001_2^2 + 1, c_1001_2^9 + c_1001_2^7 + c_1001_2^6 - c_1001_2^3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.240 Total time: 0.440 seconds, Total memory usage: 32.09MB