Magma V2.19-8 Tue Aug 20 2013 23:53:05 on localhost [Seed = 2648438369] Type ? for help. Type -D to quit. Loading file "L13n4632__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4632 geometric_solution 10.53973686 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 3 0132 0132 0132 3201 0 1 0 1 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 1 -1 0 1 0 5 -6 0 -1 0 1 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.324639307539 1.061738338649 0 4 6 5 0132 0132 0132 0132 0 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 0 0 0 0 0 0 0 0 0 0 0 0 2 -2 -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 0.685720206198 0.648497445511 7 0 8 6 0132 0132 0132 2310 0 0 1 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 -5 5 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.676715858540 0.460024320006 9 0 7 0 0132 2310 0321 0132 0 1 1 0 0 0 0 0 0 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 -1 0 1 0 0 5 -5 -1 6 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.223306263667 1.341503198575 8 1 10 11 0213 0132 0132 0132 0 0 0 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 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 0.427665498398 0.375621541043 9 8 1 10 2103 0213 0132 1230 0 1 0 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 0 0 0 0 -1 2 -1 0 0 -1 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 1.386396065311 0.961394672093 2 11 9 1 3201 1302 0132 0132 0 1 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 2 0 -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 0 0 0 0.737354206405 0.403341003688 2 9 3 11 0132 2103 0321 2310 0 0 0 1 0 0 0 0 0 0 0 0 -1 0 0 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 2 0 0 -2 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.169130152672 0.476119413193 4 10 5 2 0213 0132 0213 0132 0 0 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 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 0.628602269849 0.555116620576 3 7 5 6 0132 2103 2103 0132 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 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 0.934572159381 0.779062190775 5 8 11 4 3012 0132 3012 0132 0 0 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 0 0 0 0 0 0 0 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 0.784931007671 0.787477132996 7 10 4 6 3201 1230 0132 2031 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 0 0 0 0.756143415518 0.636782149513 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0110_11'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : negation(d['c_0011_11']), 'c_1001_9' : d['c_0011_0'], 'c_1001_8' : d['c_1001_4'], 'c_1010_11' : d['c_0011_6'], 'c_1010_10' : d['c_1001_4'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_6'], 's_2_0' : negation(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_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0011_6'], 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : d['c_0011_11'], 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_6'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_10']), 'c_1100_11' : negation(d['c_1001_1']), 'c_1100_10' : negation(d['c_1001_1']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0110_11']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_11']), 'c_1010_9' : d['c_0110_11'], 'c_1010_8' : negation(d['c_0011_11']), 's_3_1' : d['1'], 's_3_0' : 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' : d['1'], 's_3_8' : d['1'], 's_1_7' : negation(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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0101_7' : negation(d['c_0101_3']), 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_11']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0011_0'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0101_11']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0101_11']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0110_11, c_1001_1, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 2793895031/664562500*c_1001_4^6 - 7491807977/664562500*c_1001_4^5 + 5769916429/332281250*c_1001_4^4 - 12085523461/332281250*c_1001_4^3 + 17292912837/664562500*c_1001_4^2 - 1386358312/33228125*c_1001_4 + 7761598671/664562500, c_0011_0 - 1, c_0011_10 + 3/4*c_1001_4^6 - 9/4*c_1001_4^5 + 7/2*c_1001_4^4 - 13/2*c_1001_4^3 + 21/4*c_1001_4^2 - 7*c_1001_4 + 7/4, c_0011_11 - c_1001_4^6 + 11/4*c_1001_4^5 - 4*c_1001_4^4 + 17/2*c_1001_4^3 - 7*c_1001_4^2 + 37/4*c_1001_4 - 9/4, c_0011_3 - c_1001_4^6 + 5/2*c_1001_4^5 - 4*c_1001_4^4 + 9*c_1001_4^3 - 6*c_1001_4^2 + 21/2*c_1001_4 - 5/2, c_0011_6 - 3/4*c_1001_4^6 + 2*c_1001_4^5 - 5/2*c_1001_4^4 + 5*c_1001_4^3 - 13/4*c_1001_4^2 + 17/4*c_1001_4 - 1, c_0101_0 - 1, c_0101_1 - 1/2*c_1001_4^6 + 5/4*c_1001_4^5 - 2*c_1001_4^4 + 9/2*c_1001_4^3 - 5/2*c_1001_4^2 + 21/4*c_1001_4 - 7/4, c_0101_11 - 3/2*c_1001_4^6 + 4*c_1001_4^5 - 6*c_1001_4^4 + 12*c_1001_4^3 - 15/2*c_1001_4^2 + 27/2*c_1001_4 - 2, c_0101_3 - 7/4*c_1001_4^6 + 9/2*c_1001_4^5 - 13/2*c_1001_4^4 + 14*c_1001_4^3 - 37/4*c_1001_4^2 + 63/4*c_1001_4 - 7/2, c_0110_11 - 5/4*c_1001_4^6 + 13/4*c_1001_4^5 - 9/2*c_1001_4^4 + 19/2*c_1001_4^3 - 27/4*c_1001_4^2 + 23/2*c_1001_4 - 7/4, c_1001_1 - c_1001_4^6 + 11/4*c_1001_4^5 - 4*c_1001_4^4 + 17/2*c_1001_4^3 - 6*c_1001_4^2 + 33/4*c_1001_4 - 9/4, c_1001_4^7 - 3*c_1001_4^6 + 5*c_1001_4^5 - 10*c_1001_4^4 + 9*c_1001_4^3 - 12*c_1001_4^2 + 6*c_1001_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB