Magma V2.19-8 Tue Aug 20 2013 23:38:28 on localhost [Seed = 896749833] Type ? for help. Type -D to quit. Loading file "K14n4701__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n4701 geometric_solution 8.65114856 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 0132 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 -1 1 0 -20 0 0 20 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.995912812979 1.093004744592 0 5 6 5 0132 0132 0132 3012 0 0 0 0 0 -1 0 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 20 0 -20 20 0 0 -20 0 20 0 -20 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.144314531817 0.784011710259 7 0 8 5 0132 0132 0132 2310 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 0 -1 0 0 0 0 -19 0 0 19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.563426969370 1.155276704876 9 4 4 0 0132 0321 2103 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 1 -1 19 0 -19 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 0.909261602086 0.610718718938 3 9 0 3 2103 0132 0132 0321 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 19 0 -20 1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.909261602086 0.610718718938 2 1 1 9 3201 0132 1230 1302 0 0 0 0 0 1 -1 0 1 0 -1 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 -20 20 0 -19 0 20 -1 1 -1 0 0 0 -20 20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.772912204088 1.233690668641 8 7 7 1 0321 0321 3120 0132 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 -19 19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.772912204088 1.233690668641 2 8 6 6 0132 3201 3120 0321 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 -19 0 19 0 0 0 0 0 0 0 0 19 0 -19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.352638955405 0.128567754323 6 9 7 2 0321 0321 2310 0132 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 -19 19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.838754987286 0.423714647202 3 4 5 8 0132 0132 2031 0321 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 -19 0 0 19 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.995912812979 1.093004744592 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0110_5']), 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0110_5']), 'c_1001_8' : negation(d['c_1001_1']), 's_2_8' : negation(d['1']), 's_2_9' : d['1'], '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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : 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' : negation(d['c_1001_1']), 'c_1100_8' : d['c_0011_0'], 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : negation(d['c_0101_6']), 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_0'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0110_5']), 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_2'], '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' : negation(d['1']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_3'], '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_0101_7' : negation(d['c_0101_5']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_8']), 'c_0101_3' : negation(d['c_0011_8']), 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : negation(d['c_0011_8']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0101_6']), 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_8']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : negation(d['c_0011_6']), 'c_0110_6' : negation(d['c_0011_8'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0011_8, c_0101_0, c_0101_5, c_0101_6, c_0110_5, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 7*c_1001_2^2 - 23*c_1001_2 - 21, c_0011_0 - 1, c_0011_3 + c_1001_2^2 + c_1001_2, c_0011_6 - c_1001_2 - 1, c_0011_8 + c_1001_2^2 + c_1001_2 - 1, c_0101_0 + c_1001_2, c_0101_5 + c_1001_2^2 + 2*c_1001_2, c_0101_6 + c_1001_2 + 2, c_0110_5 + c_1001_2^2 + c_1001_2 - 1, c_1001_1 - 1, c_1001_2^3 + 3*c_1001_2^2 + 2*c_1001_2 - 1 ], Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0011_8, c_0101_0, c_0101_5, c_0101_6, c_0110_5, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 688608011/675180208*c_1001_2^10 + 236998569/337590104*c_1001_2^9 - 5183632689/675180208*c_1001_2^8 + 3153163449/337590104*c_1001_2^7 - 244527581/11068528*c_1001_2^6 - 2558400505/168795052*c_1001_2^5 - 429120001/168795052*c_1001_2^4 - 9612750717/675180208*c_1001_2^3 - 979560357/84397526*c_1001_2^2 + 440233791/675180208*c_1001_2 - 1530737923/337590104, c_0011_0 - 1, c_0011_3 - 66939/691783*c_1001_2^10 + 47892/691783*c_1001_2^9 - 427747/691783*c_1001_2^8 + 584704/691783*c_1001_2^7 - 914143/691783*c_1001_2^6 - 1581861/691783*c_1001_2^5 + 1313501/691783*c_1001_2^4 + 528883/691783*c_1001_2^3 - 292833/691783*c_1001_2^2 - 55751/691783*c_1001_2 + 641503/691783, c_0011_6 + 3726297/84397526*c_1001_2^10 + 1825859/42198763*c_1001_2^9 + 30947077/84397526*c_1001_2^8 + 2048248/42198763*c_1001_2^7 + 1256703/1383566*c_1001_2^6 + 47831780/42198763*c_1001_2^5 + 132709188/42198763*c_1001_2^4 + 111250803/84397526*c_1001_2^3 + 21070746/42198763*c_1001_2^2 + 92680851/84397526*c_1001_2 - 15633652/42198763, c_0011_8 + 3218573/84397526*c_1001_2^10 - 1896206/42198763*c_1001_2^9 + 20979645/84397526*c_1001_2^8 - 18865257/42198763*c_1001_2^7 + 890673/1383566*c_1001_2^6 + 27405493/42198763*c_1001_2^5 - 44072218/42198763*c_1001_2^4 - 34080881/84397526*c_1001_2^3 + 45184030/42198763*c_1001_2^2 - 5614235/84397526*c_1001_2 - 33432140/42198763, c_0101_0 + c_1001_2, c_0101_5 - 21242465/84397526*c_1001_2^10 - 433680/42198763*c_1001_2^9 - 143226371/84397526*c_1001_2^8 + 39533726/42198763*c_1001_2^7 - 4527189/1383566*c_1001_2^6 - 335544345/42198763*c_1001_2^5 - 98468520/42198763*c_1001_2^4 - 171286687/84397526*c_1001_2^3 - 168493599/42198763*c_1001_2^2 - 136682165/84397526*c_1001_2 - 682645/42198763, c_0101_6 + 4449622/42198763*c_1001_2^10 - 253862/42198763*c_1001_2^9 + 27425289/42198763*c_1001_2^8 - 22782204/42198763*c_1001_2^7 + 751325/691783*c_1001_2^6 + 122324745/42198763*c_1001_2^5 + 32969177/42198763*c_1001_2^4 - 110037076/42198763*c_1001_2^3 + 7427354/42198763*c_1001_2^2 + 73059126/42198763*c_1001_2 - 31349055/42198763, c_0110_5 + 3218573/84397526*c_1001_2^10 - 1896206/42198763*c_1001_2^9 + 20979645/84397526*c_1001_2^8 - 18865257/42198763*c_1001_2^7 + 890673/1383566*c_1001_2^6 + 27405493/42198763*c_1001_2^5 - 44072218/42198763*c_1001_2^4 - 34080881/84397526*c_1001_2^3 + 45184030/42198763*c_1001_2^2 - 5614235/84397526*c_1001_2 - 33432140/42198763, c_1001_1 - 1, c_1001_2^11 + 7*c_1001_2^9 - 4*c_1001_2^8 + 15*c_1001_2^7 + 30*c_1001_2^6 + 12*c_1001_2^5 + 15*c_1001_2^4 + 18*c_1001_2^3 + 11*c_1001_2^2 + 4*c_1001_2 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.250 seconds, Total memory usage: 32.09MB