Magma V2.19-8 Tue Aug 20 2013 17:58:13 on localhost [Seed = 4206579372] Type ? for help. Type -D to quit. Loading file "10_100__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10_100 geometric_solution 12.81088257 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 14 1 2 3 3 0132 0132 0132 2031 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 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.168883086977 1.778302176153 0 4 6 5 0132 0132 0132 0132 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 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.439060334756 0.862278266489 7 0 8 3 0132 0132 0132 1302 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 -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 1.062438266708 1.106579048966 6 0 2 0 0132 1302 2031 0132 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 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.550170969302 0.824813622815 9 1 9 10 0132 0132 3120 0132 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 1 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.387664283814 0.489359190433 11 7 1 12 0132 2310 0132 0132 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 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.799587031715 0.671711161990 3 8 11 1 0132 3120 0132 0132 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 0 0 0 0 0 0 0 0.689878539737 1.504771237181 2 9 8 5 0132 0132 3120 3201 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 1 0 -12 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.439060334756 0.862278266489 12 6 7 2 1302 3120 3120 0132 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 -12 0 12 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 0.748244215807 0.549132696594 4 7 4 13 0132 0132 3120 0132 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 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 0.387664283814 0.489359190433 11 12 4 13 2310 2310 0132 0213 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 -11 0 -1 12 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.342615072299 0.469803285609 5 13 10 6 0132 0132 3201 0132 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 1 -1 0 0 0 1 -1 0 0 0 0 -11 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.365986959365 0.945620038954 13 8 5 10 0132 2031 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.365986959365 0.945620038954 12 11 9 10 0132 0132 0132 0213 0 0 0 0 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 1 -1 12 0 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.342615072299 0.469803285609 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : negation(d['c_0011_8']), 'c_1001_13' : d['c_1001_13'], 'c_1001_12' : negation(d['c_0101_2']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_13'], 'c_1001_6' : d['c_1001_13'], 'c_1001_1' : negation(d['c_0011_8']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_3'], 'c_1001_9' : negation(d['c_1001_4']), 'c_1001_8' : negation(d['c_1001_13']), 'c_1010_13' : negation(d['c_0101_10']), 'c_1010_12' : d['c_0011_8'], 'c_1010_11' : d['c_1001_13'], 'c_1010_10' : negation(d['c_0101_13']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], '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' : 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_13' : 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' : 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_1100_9' : negation(d['c_0101_13']), 'c_1100_8' : d['c_0101_1'], 'c_0011_13' : negation(d['c_0011_11']), 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : negation(d['c_0101_10']), '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_1001_0']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : d['c_0101_1'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_0101_10']), 'c_1100_13' : negation(d['c_0101_13']), 's_0_11' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : negation(d['c_1001_4']), 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0011_8']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0011_3'], 'c_1010_9' : d['c_1001_13'], 'c_1010_8' : d['c_0011_3'], '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_10']), 's_1_7' : 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' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0101_13' : d['c_0101_13'], 'c_0011_6' : negation(d['c_0011_3']), '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_0101_0'], 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_13' : d['c_0101_11'], 'c_0110_12' : d['c_0101_13'], 's_0_13' : d['1'], 'c_0101_12' : d['c_0101_11'], 'c_0011_7' : d['c_0011_0'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0101_1']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_13'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : negation(d['c_0011_11']), 'c_0011_10' : d['c_0011_10'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_13'], 'c_0110_8' : d['c_0101_2'], '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_1']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_13, c_0101_2, c_1001_0, c_1001_13, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 27/611*c_1001_4^5 + 2196/611*c_1001_4^4 + 5848/611*c_1001_4^3 - 19891/611*c_1001_4^2 + 23411/611*c_1001_4 - 29816/611, c_0011_0 - 1, c_0011_10 - 49/517*c_1001_4^5 - 8/47*c_1001_4^4 + 34/47*c_1001_4^3 - 1268/517*c_1001_4^2 + 1574/517*c_1001_4 - 1145/517, c_0011_11 - 49/517*c_1001_4^5 - 8/47*c_1001_4^4 + 34/47*c_1001_4^3 - 1268/517*c_1001_4^2 + 1574/517*c_1001_4 - 1145/517, c_0011_3 - 85/517*c_1001_4^5 - 11/47*c_1001_4^4 + 82/47*c_1001_4^3 - 1767/517*c_1001_4^2 + 2129/517*c_1001_4 - 1216/517, c_0011_8 - c_1001_4 + 1, c_0101_0 - 148/517*c_1001_4^5 - 28/47*c_1001_4^4 + 119/47*c_1001_4^3 - 2511/517*c_1001_4^2 + 2454/517*c_1001_4 - 1728/517, c_0101_1 - 73/517*c_1001_4^5 - 10/47*c_1001_4^4 + 66/47*c_1001_4^3 - 1773/517*c_1001_4^2 + 1944/517*c_1001_4 - 1537/517, c_0101_10 - 24/517*c_1001_4^5 - 2/47*c_1001_4^4 + 32/47*c_1001_4^3 - 505/517*c_1001_4^2 + 370/517*c_1001_4 + 125/517, c_0101_11 - 158/517*c_1001_4^5 - 21/47*c_1001_4^4 + 148/47*c_1001_4^3 - 3540/517*c_1001_4^2 + 4073/517*c_1001_4 - 2753/517, c_0101_13 + 24/517*c_1001_4^5 + 2/47*c_1001_4^4 - 32/47*c_1001_4^3 + 505/517*c_1001_4^2 - 370/517*c_1001_4 - 125/517, c_0101_2 + 148/517*c_1001_4^5 + 28/47*c_1001_4^4 - 119/47*c_1001_4^3 + 2511/517*c_1001_4^2 - 2454/517*c_1001_4 + 1728/517, c_1001_0 - 172/517*c_1001_4^5 - 30/47*c_1001_4^4 + 151/47*c_1001_4^3 - 3016/517*c_1001_4^2 + 3341/517*c_1001_4 - 2120/517, c_1001_13 - c_1001_4 + 1, c_1001_4^6 + c_1001_4^5 - 11*c_1001_4^4 + 27*c_1001_4^3 - 37*c_1001_4^2 + 33*c_1001_4 - 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 22.140 Total time: 22.350 seconds, Total memory usage: 201.97MB