Magma V2.19-8 Tue Aug 20 2013 23:53:05 on localhost [Seed = 2547121259] Type ? for help. Type -D to quit. Loading file "L13n4632__sl2_c3.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' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(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' : d['1'], 's_1_1' : d['1'], 's_1_0' : 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 - 319887695/6480474*c_1001_4^6 + 240495901/3240237*c_1001_4^5 - 1015406486/3240237*c_1001_4^4 + 658114838/3240237*c_1001_4^3 - 267610295/2160158*c_1001_4^2 + 596198269/6480474*c_1001_4 - 23515913/1080079, c_0011_0 - 1, c_0011_10 - 11/14*c_1001_4^6 + 15/7*c_1001_4^5 - 47/7*c_1001_4^4 + 68/7*c_1001_4^3 - 103/14*c_1001_4^2 + 57/14*c_1001_4 - 19/7, c_0011_11 + 5/14*c_1001_4^6 - 13/14*c_1001_4^5 + 22/7*c_1001_4^4 - 29/7*c_1001_4^3 + 43/14*c_1001_4^2 - 12/7*c_1001_4 + 23/14, c_0011_3 + 15/7*c_1001_4^6 - 39/7*c_1001_4^5 + 118/7*c_1001_4^4 - 160/7*c_1001_4^3 + 94/7*c_1001_4^2 - 44/7*c_1001_4 + 34/7, c_0011_6 + 4/7*c_1001_4^6 - 25/14*c_1001_4^5 + 38/7*c_1001_4^4 - 59/7*c_1001_4^3 + 47/7*c_1001_4^2 - 51/14*c_1001_4 + 27/14, c_0101_0 - 1, c_0101_1 + 15/14*c_1001_4^6 - 39/14*c_1001_4^5 + 59/7*c_1001_4^4 - 80/7*c_1001_4^3 + 87/14*c_1001_4^2 - 22/7*c_1001_4 + 41/14, c_0101_11 - 8/7*c_1001_4^6 + 18/7*c_1001_4^5 - 55/7*c_1001_4^4 + 62/7*c_1001_4^3 - 17/7*c_1001_4^2 + 9/7*c_1001_4 - 20/7, c_0101_3 + 19/7*c_1001_4^6 - 103/14*c_1001_4^5 + 156/7*c_1001_4^4 - 219/7*c_1001_4^3 + 141/7*c_1001_4^2 - 125/14*c_1001_4 + 95/14, c_0110_11 - 1/2*c_1001_4^6 + c_1001_4^5 - 3*c_1001_4^4 + 3*c_1001_4^3 - 1/2*c_1001_4^2 + 3/2*c_1001_4 - 2, c_1001_1 + 5/14*c_1001_4^6 - 13/14*c_1001_4^5 + 22/7*c_1001_4^4 - 29/7*c_1001_4^3 + 57/14*c_1001_4^2 - 19/7*c_1001_4 + 23/14, c_1001_4^7 - 3*c_1001_4^6 + 9*c_1001_4^5 - 14*c_1001_4^4 + 11*c_1001_4^3 - 6*c_1001_4^2 + 4*c_1001_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB