Magma V2.19-8 Tue Aug 20 2013 23:41:20 on localhost [Seed = 1014651016] Type ? for help. Type -D to quit. Loading file "L12n1317__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1317 geometric_solution 9.74515044 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 1 3 0132 0132 1023 0132 0 0 1 1 0 0 0 0 -1 0 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 -1 1 -1 0 1 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 0.657328476282 0.502032837194 0 4 0 5 0132 0132 1023 0132 0 0 1 1 0 0 -1 1 1 0 0 -1 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 -1 1 1 0 1 -2 1 -1 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.657328476282 0.502032837194 4 0 7 6 0321 0132 0132 0132 0 1 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 0 0 0 0 0 0 0 2 0 0 -2 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.024323863122 1.069296665376 6 8 0 5 1023 0132 0132 2103 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 1 -1 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 0.024323863122 1.069296665376 2 1 8 6 0321 0132 3201 2310 0 1 1 1 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 0 0 0 0 0 -2 0 2 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.024323863122 1.069296665376 6 7 1 3 3201 3201 0132 2103 0 0 0 1 0 0 -1 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 -1 -1 2 -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 0.024323863122 1.069296665376 4 3 2 5 3201 1023 0132 2310 0 1 0 1 0 0 0 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 0 0 0 -2 0 2 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 -0.342671523718 0.502032837194 9 10 5 2 0132 0132 2310 0132 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 0 0 0 0 0 0 0 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 0.755903473883 1.223435967000 4 3 9 10 2310 0132 0132 0132 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 0 0 0 0 -1 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 0 0 0 0.755903473883 1.223435967000 7 10 10 8 0132 0321 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 1 -1 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 0.993572564246 0.599253696373 9 7 8 9 2103 0132 0132 0321 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 -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 0.993572564246 0.599253696373 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0101_7']), 'c_1001_4' : negation(d['c_0101_7']), 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : d['c_1001_10'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_1001_7'], 'c_1010_10' : d['c_1001_7'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : 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' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_10'], 'c_1100_8' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0110_3']), 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : d['c_0011_5'], 'c_1100_6' : d['c_0011_5'], 'c_1100_1' : negation(d['c_0110_3']), 'c_1100_0' : d['c_0110_3'], 'c_1100_3' : d['c_0110_3'], 'c_1100_2' : d['c_0011_5'], 'c_1100_10' : d['c_0011_10'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_0110_3'], 'c_1010_5' : negation(d['c_1001_7']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_1001_7'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_7']), 'c_1010_0' : d['c_1001_10'], 'c_1010_9' : d['c_1001_7'], 'c_1010_8' : d['c_1001_10'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0110_6' : negation(d['c_0101_0']), '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_10' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_3'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_10']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_7'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_7'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : negation(d['c_0110_3']), 'c_0110_4' : d['c_0011_0'], 'c_0110_7' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10']})} 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_10, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_7, c_0110_3, c_1001_10, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 1816273/123921*c_1001_7^5 + 1835444/123921*c_1001_7^4 + 503854/17703*c_1001_7^3 + 10813771/123921*c_1001_7^2 + 27123739/123921*c_1001_7 + 1365344/123921, c_0011_0 - 1, c_0011_10 + 19/281*c_1001_7^5 + 31/281*c_1001_7^4 + 28/281*c_1001_7^3 + 250/281*c_1001_7^2 + 295/281*c_1001_7 + 87/281, c_0011_3 - 24/281*c_1001_7^5 + 20/281*c_1001_7^4 + 9/281*c_1001_7^3 - 20/281*c_1001_7^2 - 136/281*c_1001_7 + 319/281, c_0011_5 - 24/281*c_1001_7^5 + 20/281*c_1001_7^4 + 9/281*c_1001_7^3 - 20/281*c_1001_7^2 - 136/281*c_1001_7 + 319/281, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 - 49/281*c_1001_7^5 - 6/281*c_1001_7^4 - 87/281*c_1001_7^3 - 275/281*c_1001_7^2 - 465/281*c_1001_7 + 101/281, c_0101_7 - 25/281*c_1001_7^5 - 26/281*c_1001_7^4 - 96/281*c_1001_7^3 - 255/281*c_1001_7^2 - 329/281*c_1001_7 - 218/281, c_0110_3 - 25/281*c_1001_7^5 - 26/281*c_1001_7^4 - 96/281*c_1001_7^3 - 255/281*c_1001_7^2 - 329/281*c_1001_7 + 63/281, c_1001_10 + 25/281*c_1001_7^5 + 26/281*c_1001_7^4 + 96/281*c_1001_7^3 + 255/281*c_1001_7^2 + 329/281*c_1001_7 + 218/281, c_1001_7^6 + c_1001_7^5 + 2*c_1001_7^4 + 6*c_1001_7^3 + 15*c_1001_7^2 + c_1001_7 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB