Magma V2.19-8 Wed Aug 21 2013 01:09:48 on localhost [Seed = 2328662810] Type ? for help. Type -D to quit. Loading file "L14n48505__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n48505 geometric_solution 11.77806041 oriented_manifold CS_known 0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 0 2 1 2 0 0 -1 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 -1 0 1 0 0 5 -5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.969777547038 0.891514000883 0 4 4 5 0132 0132 1302 0132 0 2 2 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 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 0.441135991728 0.513762243192 0 0 7 6 3012 0132 0132 0132 0 0 2 1 0 0 0 0 -1 0 1 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 1 -1 0 -1 0 0 1 5 0 0 -5 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.037981714164 1.120399790067 5 8 5 0 0132 0132 2310 0132 0 2 2 0 0 0 -1 1 0 0 -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 1 0 4 -5 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555030246056 0.480301350305 1 1 7 6 2031 0132 1023 1023 0 0 1 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 0 0 0 0 1 0 -1 -1 0 1 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 0.037981714164 1.120399790067 3 3 1 9 0132 3201 0132 0132 0 2 0 2 0 0 0 0 0 0 0 0 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 0 0 0 -1 0 0 1 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.037981714164 1.120399790067 10 10 2 4 0132 1230 0132 1023 0 0 1 2 0 0 0 0 0 0 0 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 -1 1 -2 1 0 1 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.030222452962 0.891514000883 11 11 4 2 0132 1230 1023 0132 0 0 1 2 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 -1 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 -0.030222452962 0.891514000883 10 3 12 12 3012 0132 0132 3201 0 2 0 2 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 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.566966979964 1.169815755054 11 12 5 12 3201 0213 0132 3120 0 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.664500789035 0.692231252726 6 11 6 8 0132 2103 3012 1230 2 0 2 1 0 0 -1 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 -1 5 -4 0 0 0 0 0 0 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.037981714164 1.120399790067 7 10 7 9 0132 2103 3012 2310 2 0 2 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 0 0 0 0 0 0 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.037981714164 1.120399790067 9 8 9 8 3120 2310 0213 0132 0 2 2 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 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.335499210965 0.692231252726 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0011_10'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_7' : negation(d['c_0011_9']), 'c_1001_6' : negation(d['c_0110_8']), 'c_1001_1' : d['c_0101_10'], 'c_1001_0' : negation(d['c_0110_8']), 'c_1001_3' : negation(d['c_1001_12']), 'c_1001_2' : d['c_0101_11'], 'c_1001_9' : d['c_1001_12'], 'c_1001_8' : negation(d['c_0110_8']), 'c_1010_12' : negation(d['c_0110_8']), 'c_1010_11' : negation(d['c_0101_8']), 'c_1010_10' : d['c_0101_8'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_9'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : 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_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' : 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_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_9']), 'c_1100_4' : negation(d['c_1100_2']), 'c_1100_7' : d['c_1100_2'], 'c_1100_6' : d['c_1100_2'], 'c_1100_1' : negation(d['c_0011_9']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_1100_2'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_9'], 'c_1100_10' : d['c_0110_8'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : d['c_1001_12'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : negation(d['c_0110_8']), 'c_1010_2' : negation(d['c_0110_8']), 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : d['c_0101_11'], 'c_1010_9' : negation(d['c_0011_12']), 'c_1010_8' : negation(d['c_1001_12']), 'c_1100_8' : negation(d['c_0011_12']), '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' : negation(d['c_0011_12']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(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' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_10']), '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' : negation(d['c_0101_3']), 'c_0110_10' : negation(d['c_0011_3']), 'c_0110_12' : d['c_0101_8'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0101_3']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_9']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_3'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_8'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_9']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_10'], 's_2_9' : d['1']})} 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_3, c_0011_9, c_0101_0, c_0101_10, c_0101_11, c_0101_3, c_0101_8, c_0110_8, c_1001_12, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 1996185397/219375000*c_1100_2^3 - 2045617697957/36898875000*c_1100_2^2 + 980642266273/7379775000*c_1100_2 - 34240691897/368988750, c_0011_0 - 1, c_0011_10 + 1711/4500*c_1100_2^3 - 10871/5220*c_1100_2^2 + 19943/5220*c_1100_2 - 100/261, c_0011_12 + 1247/5850*c_1100_2^3 - 295697/339300*c_1100_2^2 + 17873/13572*c_1100_2 - 1451/13572, c_0011_3 - 87/1250*c_1100_2^3 + 5941/14500*c_1100_2^2 - 3629/2900*c_1100_2 + 399/580, c_0011_9 - 10063/292500*c_1100_2^3 - 245813/1696500*c_1100_2^2 + 256177/339300*c_1100_2 - 17558/16965, c_0101_0 - 1, c_0101_10 + 841/11250*c_1100_2^3 - 1691/2250*c_1100_2^2 + 709/450*c_1100_2 - 22/45, c_0101_11 + 87/1250*c_1100_2^3 - 5941/14500*c_1100_2^2 + 3629/2900*c_1100_2 + 181/580, c_0101_3 - 10643/97500*c_1100_2^3 + 343067/565500*c_1100_2^2 - 92803/113100*c_1100_2 - 3088/5655, c_0101_8 + 1, c_0110_8 + 1, c_1001_12 - 2929/97500*c_1100_2^3 + 120331/565500*c_1100_2^2 - 77159/113100*c_1100_2 + 10427/11310, c_1100_2^4 - 4250/841*c_1100_2^3 + 8075/841*c_1100_2^2 - 1250/841*c_1100_2 + 625/841 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB