Magma V2.19-8 Tue Aug 20 2013 23:40:09 on localhost [Seed = 2134449115] Type ? for help. Type -D to quit. Loading file "K14n4785__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n4785 geometric_solution 10.75192171 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 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 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 0.617628317636 0.855469649853 0 5 6 2 0132 0132 0132 1302 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 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.998399513915 0.876348963495 7 0 1 6 0132 0132 2031 3201 0 0 0 0 0 0 0 0 1 0 -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 -9 0 9 0 8 1 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.221716687073 0.705510843479 4 8 9 0 1302 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 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 0.221716687073 0.705510843479 8 3 0 10 3201 2031 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 -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 0.998399513915 0.876348963495 10 1 8 9 3012 0132 1023 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.438571898905 0.617070085356 8 2 10 1 0213 2310 2310 0132 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 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.572001566497 0.858920429991 2 10 9 9 0132 3012 2103 0321 0 0 0 0 0 0 0 0 -1 0 0 1 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 9 0 -1 -8 0 1 0 -1 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.583376951285 0.998427435301 6 3 5 4 0213 0132 1023 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 0.572001566497 0.858920429991 7 7 5 3 2103 0321 1230 0132 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 1 0 -1 1 0 -1 0 -1 1 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.583376951285 0.998427435301 7 6 4 5 1230 3201 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.438571898905 0.617070085356 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_10' : d['c_0011_3'], 'c_1001_5' : d['c_0011_6'], 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_7']), 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : negation(d['c_0101_10']), 'c_1001_2' : negation(d['c_0101_0']), 'c_1001_9' : d['c_0011_4'], 'c_1001_8' : d['c_0101_5'], 'c_1010_10' : d['c_0101_5'], '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' : negation(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_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' : 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_9' : d['c_0110_5'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0110_5'], 'c_1100_7' : d['c_0011_4'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : d['c_0110_5'], 'c_1100_3' : d['c_0110_5'], 'c_1100_2' : negation(d['c_0011_6']), 'c_1100_10' : d['c_0110_5'], 'c_1010_7' : negation(d['c_0101_10']), 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : negation(d['c_0101_0']), 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : negation(d['c_0101_10']), 's_3_1' : negation(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'], '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' : 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' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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_0110_10' : d['c_0011_0'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : d['c_0011_6'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_4']), 'c_0110_8' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_10'], 'c_1100_8' : d['c_0011_4']})} 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_4, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_0101_7, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 75/56*c_0101_7 - 181/56, c_0011_0 - 1, c_0011_10 - c_0011_6 - c_0101_7 - 1, c_0011_3 + c_0011_6 + 2*c_0101_7 + 1, c_0011_4 - c_0011_6 - c_0101_7, c_0011_6^2 + 2*c_0011_6*c_0101_7 + c_0011_6 + 5*c_0101_7 + 3, c_0101_0 - c_0101_7 + 1, c_0101_1 + 1, c_0101_10 + c_0101_7, c_0101_5 - 1, c_0101_7^2 - 2*c_0101_7 - 1, c_0110_5 - 1 ], 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_4, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_0101_7, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 110454975994/10171597*c_0101_7^13 - 673711238187/40686388*c_0101_7^12 - 449737918057/40686388*c_0101_7^11 + 6162253946197/162745552*c_0101_7^10 - 5813113017223/40686388*c_0101_7^9 - 19467517683821/81372776*c_0101_7^8 + 12125701128625/81372776*c_0101_7^7 - 23051634065419/162745552*c_0101_7^6 - 46648922871425/81372776*c_0101_7^5 - 1230332301017/162745552*c_0101_7^4 + 16353103600359/81372776*c_0101_7^3 - 7130858836251/81372776*c_0101_7^2 - 3719499494855/81372776*c_0101_7 + 229473199845/10171597, c_0011_0 - 1, c_0011_10 + 122782360/10171597*c_0101_7^13 + 18576420/10171597*c_0101_7^12 + 7891394/10171597*c_0101_7^11 - 501051761/10171597*c_0101_7^10 + 2265489304/10171597*c_0101_7^9 - 52347237/10171597*c_0101_7^8 - 3115464574/10171597*c_0101_7^7 + 5127765843/10171597*c_0101_7^6 + 1369835316/10171597*c_0101_7^5 - 4590329021/10171597*c_0101_7^4 + 1535473068/10171597*c_0101_7^3 + 1000743727/10171597*c_0101_7^2 - 856367120/10171597*c_0101_7 + 175845505/10171597, c_0011_3 - 43756891/10171597*c_0101_7^13 + 12902171/10171597*c_0101_7^12 + 41289461/40686388*c_0101_7^11 + 368395299/20343194*c_0101_7^10 - 1767586511/20343194*c_0101_7^9 + 674796899/20343194*c_0101_7^8 + 5118459577/40686388*c_0101_7^7 - 2283442503/10171597*c_0101_7^6 + 439722163/40686388*c_0101_7^5 + 2190875526/10171597*c_0101_7^4 - 2150306401/20343194*c_0101_7^3 - 736347537/20343194*c_0101_7^2 + 481010116/10171597*c_0101_7 - 129453299/10171597, c_0011_4 - 122782360/10171597*c_0101_7^13 - 18576420/10171597*c_0101_7^12 - 7891394/10171597*c_0101_7^11 + 501051761/10171597*c_0101_7^10 - 2265489304/10171597*c_0101_7^9 + 52347237/10171597*c_0101_7^8 + 3115464574/10171597*c_0101_7^7 - 5127765843/10171597*c_0101_7^6 - 1369835316/10171597*c_0101_7^5 + 4590329021/10171597*c_0101_7^4 - 1535473068/10171597*c_0101_7^3 - 1000743727/10171597*c_0101_7^2 + 856367120/10171597*c_0101_7 - 175845505/10171597, c_0011_6 - 43756891/10171597*c_0101_7^13 + 12902171/10171597*c_0101_7^12 + 41289461/40686388*c_0101_7^11 + 368395299/20343194*c_0101_7^10 - 1767586511/20343194*c_0101_7^9 + 674796899/20343194*c_0101_7^8 + 5118459577/40686388*c_0101_7^7 - 2283442503/10171597*c_0101_7^6 + 439722163/40686388*c_0101_7^5 + 2190875526/10171597*c_0101_7^4 - 2150306401/20343194*c_0101_7^3 - 736347537/20343194*c_0101_7^2 + 481010116/10171597*c_0101_7 - 129453299/10171597, c_0101_0 + 9342718/10171597*c_0101_7^13 + 31294819/10171597*c_0101_7^12 + 39673435/20343194*c_0101_7^11 - 121196975/40686388*c_0101_7^10 + 221663977/40686388*c_0101_7^9 + 976279907/20343194*c_0101_7^8 + 17664931/20343194*c_0101_7^7 - 1284075497/40686388*c_0101_7^6 + 4164289977/40686388*c_0101_7^5 + 1985609581/40686388*c_0101_7^4 - 2928673891/40686388*c_0101_7^3 + 69889996/10171597*c_0101_7^2 + 231121943/10171597*c_0101_7 - 182881275/20343194, c_0101_1 - 180860901/10171597*c_0101_7^13 - 23666472/10171597*c_0101_7^12 - 40910745/40686388*c_0101_7^11 + 2963345877/40686388*c_0101_7^10 - 6705684367/20343194*c_0101_7^9 + 143592337/10171597*c_0101_7^8 + 18364442745/40686388*c_0101_7^7 - 30387040405/40686388*c_0101_7^6 - 7654272929/40686388*c_0101_7^5 + 27286328557/40686388*c_0101_7^4 - 2308005730/10171597*c_0101_7^3 - 1471378156/10171597*c_0101_7^2 + 2555376915/20343194*c_0101_7 - 259793443/10171597, c_0101_10 + c_0101_7, c_0101_5 + 46392206/10171597*c_0101_7^13 - 32633263/10171597*c_0101_7^12 - 39761079/20343194*c_0101_7^11 - 815130333/40686388*c_0101_7^10 + 2025474403/20343194*c_0101_7^9 - 1371625917/20343194*c_0101_7^8 - 1433258311/10171597*c_0101_7^7 + 11147559611/40686388*c_0101_7^6 - 1490152037/20343194*c_0101_7^5 - 10743852851/40686388*c_0101_7^4 + 1564393787/10171597*c_0101_7^3 + 656695269/20343194*c_0101_7^2 - 1265139917/20343194*c_0101_7 + 189788180/10171597, c_0101_7^14 + c_0101_7^13 + 1/4*c_0101_7^12 - 4*c_0101_7^11 + 15*c_0101_7^10 + 15*c_0101_7^9 - 99/4*c_0101_7^8 + 41/2*c_0101_7^7 + 181/4*c_0101_7^6 - 26*c_0101_7^5 - 18*c_0101_7^4 + 17*c_0101_7^3 - 4*c_0101_7 + 1, c_0110_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.430 Total time: 0.630 seconds, Total memory usage: 32.09MB