Magma V2.19-8 Wed Aug 21 2013 01:11:30 on localhost [Seed = 863317257] Type ? for help. Type -D to quit. Loading file "L14n57199__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n57199 geometric_solution 12.49006602 oriented_manifold CS_known 0.0000000000000005 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 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 -1 0 1 0 -2 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 0.665288339876 0.955236956864 0 5 4 6 0132 0132 1302 0132 1 1 2 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 -1 0 0 1 -1 -2 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.665288339876 0.955236956864 7 0 9 8 0132 0132 0132 0132 0 1 2 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 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 0.496503000217 0.962229955713 5 7 9 0 0132 0132 0321 0132 0 1 2 1 0 0 1 -1 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 0 -1 1 0 0 -2 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 0.825099631711 1.101589836525 1 10 0 8 2031 0132 0132 0213 0 1 1 1 0 0 1 -1 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 0 0 0 0 0 -1 1 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.479122849679 0.556457833800 3 1 11 12 0132 0132 0132 0132 1 1 1 2 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 0.329236729976 0.603879226784 11 12 1 10 0132 1302 0132 2310 1 1 1 2 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 -1 1 -2 0 0 2 2 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.876060009209 0.629904531208 2 3 8 10 0132 0132 0213 0132 0 1 1 2 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 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 0.217241377884 0.686406109092 12 7 2 4 1302 0213 0132 0213 0 1 1 2 0 0 -1 1 1 0 0 -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 0 0 0 2 0 0 -2 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.516832003942 0.448638837590 11 10 3 2 2310 0321 0321 0132 0 1 1 1 0 0 -1 1 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 0 1 -1 0 0 1 -1 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.935069303992 1.283007704061 6 4 7 9 3201 0132 0132 0321 0 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 0 0 0 -2 0 0 2 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.642189602605 0.716252900303 6 12 9 5 0132 1023 3201 0132 1 1 2 1 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 0 0 0 -2 0 0 2 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.642189602605 0.716252900303 11 8 5 6 1023 2031 0132 2031 1 1 2 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 1 0 -1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.479122849679 0.556457833800 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_12'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0110_4'], 'c_1001_5' : d['c_0110_12'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0110_12'], 'c_1001_1' : d['c_0110_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : d['c_0110_12'], 'c_1010_10' : d['c_1001_2'], 's_3_11' : 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_0101_12'], 'c_0101_11' : negation(d['c_0101_10']), 'c_0101_10' : d['c_0101_10'], '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_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' : negation(d['1']), 's_0_4' : 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_1001_10'], 'c_1100_8' : d['c_1001_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : negation(d['c_0011_9']), 'c_1100_4' : d['c_1001_9'], 'c_1100_7' : d['c_1001_9'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : d['c_1001_9'], 'c_1100_3' : d['c_1001_9'], 'c_1100_2' : d['c_1001_10'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_9']), 'c_1100_10' : d['c_1001_9'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_0011_9'], 'c_1010_5' : d['c_0110_4'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0110_12'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_9'], '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'], 'c_1100_12' : negation(d['c_0011_9']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_0'], 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_12' : d['c_0110_12'], 'c_0110_0' : d['c_0011_10'], 'c_0101_7' : negation(d['c_0011_11']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_10'], 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0011_10'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_12']), 'c_0101_8' : negation(d['c_0011_11']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : negation(d['c_0110_4']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_11']), 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : negation(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_11, c_0011_9, c_0101_0, c_0101_10, c_0101_12, c_0110_12, c_0110_4, c_1001_0, c_1001_10, c_1001_2, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 602848/594223*c_1001_9^7 + 1423088/594223*c_1001_9^6 - 1937296/594223*c_1001_9^5 + 72948/84889*c_1001_9^4 + 1622398/594223*c_1001_9^3 - 2066488/594223*c_1001_9^2 + 1324061/594223*c_1001_9 - 8588/84889, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - 11728/84889*c_1001_9^7 + 57976/84889*c_1001_9^6 - 147368/84889*c_1001_9^5 + 188522/84889*c_1001_9^4 - 87847/84889*c_1001_9^3 - 13343/84889*c_1001_9^2 + 73174/84889*c_1001_9 + 21387/84889, c_0011_9 - 18416/12127*c_1001_9^7 + 51728/12127*c_1001_9^6 - 93360/12127*c_1001_9^5 + 89158/12127*c_1001_9^4 - 57322/12127*c_1001_9^3 + 30716/12127*c_1001_9^2 - 16311/12127*c_1001_9 + 5921/12127, c_0101_0 - 30232/84889*c_1001_9^7 + 47072/84889*c_1001_9^6 - 52368/84889*c_1001_9^5 - 18505/84889*c_1001_9^4 + 14958/84889*c_1001_9^3 + 95023/84889*c_1001_9^2 - 126379/84889*c_1001_9 + 69549/84889, c_0101_10 - 19088/12127*c_1001_9^7 + 40888/12127*c_1001_9^6 - 74936/12127*c_1001_9^5 + 49930/12127*c_1001_9^4 - 35107/12127*c_1001_9^3 + 20637/12127*c_1001_9^2 - 22111/12127*c_1001_9 + 16494/12127, c_0101_12 - 4456/12127*c_1001_9^7 + 12432/12127*c_1001_9^6 - 31440/12127*c_1001_9^5 + 30929/12127*c_1001_9^4 - 28968/12127*c_1001_9^3 + 6073/12127*c_1001_9^2 - 14783/12127*c_1001_9 + 7886/12127, c_0110_12 + 8/7*c_1001_9^7 - 24/7*c_1001_9^6 + 48/7*c_1001_9^5 - 53/7*c_1001_9^4 + 41/7*c_1001_9^3 - 23/7*c_1001_9^2 + 13/7*c_1001_9 - 3/7, c_0110_4 - 15832/12127*c_1001_9^7 + 29888/12127*c_1001_9^6 - 59104/12127*c_1001_9^5 + 45967/12127*c_1001_9^4 - 41830/12127*c_1001_9^3 + 33813/12127*c_1001_9^2 - 9023/12127*c_1001_9 + 17960/12127, c_1001_0 - 1, c_1001_10 - 30464/12127*c_1001_9^7 + 58344/12127*c_1001_9^6 - 102600/12127*c_1001_9^5 + 64968/12127*c_1001_9^4 - 47969/12127*c_1001_9^3 + 24123/12127*c_1001_9^2 - 16351/12127*c_1001_9 + 14441/12127, c_1001_2 + 672/12127*c_1001_9^7 + 10840/12127*c_1001_9^6 - 18424/12127*c_1001_9^5 + 39228/12127*c_1001_9^4 - 22215/12127*c_1001_9^3 + 10079/12127*c_1001_9^2 - 6327/12127*c_1001_9 + 1554/12127, c_1001_9^8 - 3*c_1001_9^7 + 6*c_1001_9^6 - 53/8*c_1001_9^5 + 41/8*c_1001_9^4 - 23/8*c_1001_9^3 + 13/8*c_1001_9^2 - 5/4*c_1001_9 + 7/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB