Magma V2.19-8 Tue Aug 20 2013 16:16:53 on localhost [Seed = 2429619279] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1149 geometric_solution 5.02674252 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 1023 1023 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 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 0.402372455930 0.293593455583 0 3 0 4 0132 0132 1023 0132 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 -1 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 0.378189021724 1.183364026034 3 0 4 0 3201 0132 3201 1023 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 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 0.378189021724 1.183364026034 3 1 3 2 2310 0132 3201 2310 0 0 0 0 0 0 0 0 1 0 -1 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 -1 1 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 0.006669108298 1.140511086972 2 5 1 5 2310 0132 0132 2310 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 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.548700180053 1.947680841607 4 4 6 6 3201 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.272894999344 0.162659288653 5 6 5 6 2310 2310 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.710481089796 0.471098266874 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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_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_0_6' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 354988/1611*c_0101_6^18 + 6257146/1611*c_0101_6^16 - 41146928/1611*c_0101_6^14 + 140799739/1611*c_0101_6^12 - 282009092/1611*c_0101_6^10 + 346432948/1611*c_0101_6^8 - 530340667/3222*c_0101_6^6 + 83734009/1074*c_0101_6^4 - 68649071/3222*c_0101_6^2 + 465904/179, c_0011_0 - 1, c_0011_4 - 5912/537*c_0101_6^18 + 34604/179*c_0101_6^16 - 678338/537*c_0101_6^14 + 2300038/537*c_0101_6^12 - 4548713/537*c_0101_6^10 + 5494480/537*c_0101_6^8 - 4120205/537*c_0101_6^6 + 1908554/537*c_0101_6^4 - 506786/537*c_0101_6^2 + 58999/537, c_0011_6 + 3308/537*c_0101_6^18 - 19310/179*c_0101_6^16 + 377096/537*c_0101_6^14 - 1273735/537*c_0101_6^12 + 2511305/537*c_0101_6^10 - 3028717/537*c_0101_6^8 + 2271683/537*c_0101_6^6 - 1052624/537*c_0101_6^4 + 279053/537*c_0101_6^2 - 32395/537, c_0101_0 - 16/9*c_0101_6^19 + 30*c_0101_6^17 - 1654/9*c_0101_6^15 + 5141/9*c_0101_6^13 - 9067/9*c_0101_6^11 + 9431/9*c_0101_6^9 - 5845/9*c_0101_6^7 + 2095/9*c_0101_6^5 - 322/9*c_0101_6^3 + 2/9*c_0101_6, c_0101_1 - 2996/1611*c_0101_6^19 + 6516/179*c_0101_6^17 - 445814/1611*c_0101_6^15 + 1792270/1611*c_0101_6^13 - 4253906/1611*c_0101_6^11 + 6200392/1611*c_0101_6^9 - 5560580/1611*c_0101_6^7 + 2996936/1611*c_0101_6^5 - 912230/1611*c_0101_6^3 + 121564/1611*c_0101_6, c_0101_2 + 2/9*c_0101_6^19 - 4*c_0101_6^17 + 245/9*c_0101_6^15 - 880/9*c_0101_6^13 + 1886/9*c_0101_6^11 - 2548/9*c_0101_6^9 + 2228/9*c_0101_6^7 - 1271/9*c_0101_6^5 + 461/9*c_0101_6^3 - 88/9*c_0101_6, c_0101_6^20 - 18*c_0101_6^18 + 245/2*c_0101_6^16 - 440*c_0101_6^14 + 943*c_0101_6^12 - 1274*c_0101_6^10 + 1114*c_0101_6^8 - 1271/2*c_0101_6^6 + 461/2*c_0101_6^4 - 97/2*c_0101_6^2 + 9/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB