Magma V2.19-8 Tue Aug 20 2013 16:16:02 on localhost [Seed = 2412647241] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0286 geometric_solution 4.32841426 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 2310 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 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 0.946613389181 0.140115853864 0 0 4 4 0132 3201 2310 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 0.621415255537 0.175830707005 5 0 6 3 0132 0132 0132 1230 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 -1 0 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 0.682366522644 0.390712694280 2 5 0 6 3012 3120 0132 1230 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 1 -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 0.682366522644 0.390712694280 4 1 1 4 3201 3201 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.232554295808 0.171019731025 2 3 6 6 0132 3120 2310 0132 0 0 0 0 0 0 0 0 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.101545746040 0.826516744098 3 5 5 2 3012 3201 0132 0132 0 0 0 0 0 0 0 0 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 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 -0.146437372006 1.191905566156 ==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' : 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_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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_6'], 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_1001_2']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_6'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : negation(d['c_0011_0']), 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_1001_2']})} 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_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 11899679180/17435668019*c_1001_2^12 + 56503544915/17435668019*c_1001_2^11 - 120139476753/17435668019*c_1001_2^10 + 10291855692/2490809717*c_1001_2^9 + 263159647581/17435668019*c_1001_2^8 - 882233375092/17435668019*c_1001_2^7 + 1331266513628/17435668019*c_1001_2^6 - 74085898245/1585060729*c_1001_2^5 - 703520331309/17435668019*c_1001_2^4 + 1853184208178/17435668019*c_1001_2^3 - 1397951849180/17435668019*c_1001_2^2 + 38711951002/17435668019*c_1001_2 + 345364888537/17435668019, c_0011_0 - 1, c_0011_3 + 9175326/35081827*c_1001_2^12 - 43523820/35081827*c_1001_2^11 + 8178534/3189257*c_1001_2^10 - 45362474/35081827*c_1001_2^9 - 20218590/3189257*c_1001_2^8 + 686933721/35081827*c_1001_2^7 - 974466002/35081827*c_1001_2^6 + 477098015/35081827*c_1001_2^5 + 748309047/35081827*c_1001_2^4 - 1537621678/35081827*c_1001_2^3 + 950555736/35081827*c_1001_2^2 + 263821786/35081827*c_1001_2 - 472660118/35081827, c_0011_4 + 984983/35081827*c_1001_2^12 - 2105065/35081827*c_1001_2^11 + 637292/35081827*c_1001_2^10 + 8582892/35081827*c_1001_2^9 - 15428943/35081827*c_1001_2^8 + 1091848/3189257*c_1001_2^7 + 17121509/35081827*c_1001_2^6 - 51236568/35081827*c_1001_2^5 + 33259735/35081827*c_1001_2^4 + 57786880/35081827*c_1001_2^3 - 93442803/35081827*c_1001_2^2 + 20751760/35081827*c_1001_2 + 68448373/35081827, c_0011_6 + 9175326/35081827*c_1001_2^12 - 43523820/35081827*c_1001_2^11 + 8178534/3189257*c_1001_2^10 - 45362474/35081827*c_1001_2^9 - 20218590/3189257*c_1001_2^8 + 686933721/35081827*c_1001_2^7 - 974466002/35081827*c_1001_2^6 + 477098015/35081827*c_1001_2^5 + 748309047/35081827*c_1001_2^4 - 1537621678/35081827*c_1001_2^3 + 950555736/35081827*c_1001_2^2 + 263821786/35081827*c_1001_2 - 472660118/35081827, c_0101_0 - 29889/3189257*c_1001_2^12 + 3526146/35081827*c_1001_2^11 - 10762546/35081827*c_1001_2^10 + 14458436/35081827*c_1001_2^9 + 7776344/35081827*c_1001_2^8 - 68241166/35081827*c_1001_2^7 + 142240305/35081827*c_1001_2^6 - 140746932/35081827*c_1001_2^5 - 4932601/35081827*c_1001_2^4 + 196877650/35081827*c_1001_2^3 - 207120680/35081827*c_1001_2^2 + 38407136/35081827*c_1001_2 + 78096731/35081827, c_0101_1 - 2352810/35081827*c_1001_2^12 + 13317522/35081827*c_1001_2^11 - 29829520/35081827*c_1001_2^10 + 21061474/35081827*c_1001_2^9 + 63246345/35081827*c_1001_2^8 - 219542107/35081827*c_1001_2^7 + 337624553/35081827*c_1001_2^6 - 17982584/3189257*c_1001_2^5 - 218933273/35081827*c_1001_2^4 + 530504840/35081827*c_1001_2^3 - 377603866/35081827*c_1001_2^2 - 34245480/35081827*c_1001_2 + 178788028/35081827, c_1001_2^13 - 6*c_1001_2^12 + 16*c_1001_2^11 - 18*c_1001_2^10 - 17*c_1001_2^9 + 106*c_1001_2^8 - 205*c_1001_2^7 + 195*c_1001_2^6 + 8*c_1001_2^5 - 273*c_1001_2^4 + 329*c_1001_2^3 - 116*c_1001_2^2 - 84*c_1001_2 + 71 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB