Magma V2.19-8 Tue Aug 20 2013 23:29:49 on localhost [Seed = 3103710958] Type ? for help. Type -D to quit. Loading file "K14n24757__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n24757 geometric_solution 8.15305896 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 9 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 -1 1 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 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.198443734905 0.839050807985 0 5 6 5 0132 0132 0132 3120 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 0 0 0 0 0 0 0.173504958943 1.347302857688 5 0 4 7 2103 0132 3012 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 0 -1 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 0.443607036021 1.037388015112 8 6 8 0 0132 2103 1230 0132 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 12 0 0 -12 11 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.217609784784 0.578071994265 7 2 0 6 3201 1230 0132 1302 0 0 0 0 0 0 0 0 -1 0 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 -1 1 -12 0 0 12 -11 0 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.112448991395 0.676457617497 1 1 2 8 3120 0132 2103 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 -11 0 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 0 0 0 0.679740383014 0.627978842869 7 3 4 1 0213 2103 2031 0132 0 0 0 0 0 0 -1 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 0 -11 11 1 0 -1 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 0.251355485509 0.335107408071 6 8 2 4 0213 3120 0132 2310 0 0 0 0 0 -1 0 1 0 0 0 0 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -12 1 11 0 0 0 0 -1 -11 0 12 -12 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567181478706 0.905046810705 3 7 5 3 0132 3120 0132 3012 0 0 0 0 0 0 -1 1 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 -11 11 0 0 0 0 -11 11 0 0 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.429626042162 1.515176404457 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : negation(d['c_0011_4']), 'c_1001_8' : negation(d['c_1001_0']), 's_2_8' : 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_2_7' : d['1'], 's_0_8' : 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_8' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_0011_7'], 'c_1100_7' : d['c_0011_4'], 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_0011_7'], 'c_1100_3' : d['c_0011_7'], 'c_1100_2' : d['c_0011_4'], 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : negation(d['c_1001_0']), 'c_1010_5' : negation(d['c_1001_0']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0011_4']), 'c_1010_8' : negation(d['c_0011_7']), '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_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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_8' : d['1'], '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_7'], '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' : d['c_0011_6'], 'c_0101_6' : d['c_0011_7'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_7'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : d['c_0101_0'], 'c_0110_8' : d['c_0011_7'], '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_0011_6'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 1240637471515/11201426677*c_1001_0^11 + 247771392903/11201426677*c_1001_0^10 + 20628401718471/22402853354*c_1001_0^9 + 1628723984835/22402853354*c_1001_0^8 - 2747834721929/3200407622*c_1001_0^7 - 11383634312613/22402853354*c_1001_0^6 - 110598395835409/22402853354*c_1001_0^5 + 31373135749615/11201426677*c_1001_0^4 + 16556424658272/11201426677*c_1001_0^3 - 90857485665003/22402853354*c_1001_0^2 - 41806067593285/22402853354*c_1001_0 + 5497984708302/11201426677, c_0011_0 - 1, c_0011_3 + 90025181/1600203811*c_1001_0^11 + 9733662/1600203811*c_1001_0^10 - 815106017/1600203811*c_1001_0^9 - 245666958/1600203811*c_1001_0^8 + 1176157843/1600203811*c_1001_0^7 + 403992334/1600203811*c_1001_0^6 + 3809567848/1600203811*c_1001_0^5 - 1221540544/1600203811*c_1001_0^4 - 4816246057/1600203811*c_1001_0^3 + 6235179304/1600203811*c_1001_0^2 + 553528389/1600203811*c_1001_0 - 1159470854/1600203811, c_0011_4 - 10555997/1600203811*c_1001_0^11 + 6075134/1600203811*c_1001_0^10 + 127951746/1600203811*c_1001_0^9 - 67552926/1600203811*c_1001_0^8 - 411965681/1600203811*c_1001_0^7 + 158570819/1600203811*c_1001_0^6 - 160782229/1600203811*c_1001_0^5 + 937757204/1600203811*c_1001_0^4 + 1991939800/1600203811*c_1001_0^3 - 2940753739/1600203811*c_1001_0^2 - 354707376/1600203811*c_1001_0 + 874611902/1600203811, c_0011_6 - 65951133/1600203811*c_1001_0^11 + 9780231/1600203811*c_1001_0^10 + 536781047/1600203811*c_1001_0^9 + 64922216/1600203811*c_1001_0^8 - 350621542/1600203811*c_1001_0^7 - 330708718/1600203811*c_1001_0^6 - 3419236504/1600203811*c_1001_0^5 + 1884000800/1600203811*c_1001_0^4 + 694217848/1600203811*c_1001_0^3 - 2823258124/1600203811*c_1001_0^2 + 212392305/1600203811*c_1001_0 - 34944361/1600203811, c_0011_7 + 61175842/1600203811*c_1001_0^11 - 53208848/1600203811*c_1001_0^10 - 501779440/1600203811*c_1001_0^9 + 303483148/1600203811*c_1001_0^8 + 526899837/1600203811*c_1001_0^7 - 56457892/1600203811*c_1001_0^6 + 2254063808/1600203811*c_1001_0^5 - 3420787006/1600203811*c_1001_0^4 + 1591183156/1600203811*c_1001_0^3 + 2750286487/1600203811*c_1001_0^2 - 1413812131/1600203811*c_1001_0 + 155506397/1600203811, c_0101_0 + 90025181/1600203811*c_1001_0^11 + 9733662/1600203811*c_1001_0^10 - 815106017/1600203811*c_1001_0^9 - 245666958/1600203811*c_1001_0^8 + 1176157843/1600203811*c_1001_0^7 + 403992334/1600203811*c_1001_0^6 + 3809567848/1600203811*c_1001_0^5 - 1221540544/1600203811*c_1001_0^4 - 4816246057/1600203811*c_1001_0^3 + 6235179304/1600203811*c_1001_0^2 + 553528389/1600203811*c_1001_0 - 1159470854/1600203811, c_0101_1 - 70871902/1600203811*c_1001_0^11 + 51652128/1600203811*c_1001_0^10 + 559714023/1600203811*c_1001_0^9 - 199477924/1600203811*c_1001_0^8 - 429627777/1600203811*c_1001_0^7 - 455764565/1600203811*c_1001_0^6 - 3059804590/1600203811*c_1001_0^5 + 3770914765/1600203811*c_1001_0^4 - 867244527/1600203811*c_1001_0^3 - 1652449212/1600203811*c_1001_0^2 - 841603506/1600203811*c_1001_0 + 822102724/1600203811, c_0101_2 + 170630745/1600203811*c_1001_0^11 - 146556697/1600203811*c_1001_0^10 - 1345532067/1600203811*c_1001_0^9 + 745459500/1600203811*c_1001_0^8 + 1013670473/1600203811*c_1001_0^7 + 484274811/1600203811*c_1001_0^6 + 7239774906/1600203811*c_1001_0^5 - 9847513356/1600203811*c_1001_0^4 + 3051290686/1600203811*c_1001_0^3 + 3556355316/1600203811*c_1001_0^2 + 852460005/1600203811*c_1001_0 - 1452278991/1600203811, c_1001_0^12 - c_1001_0^11 - 8*c_1001_0^10 + 6*c_1001_0^9 + 7*c_1001_0^8 - 2*c_1001_0^7 + 42*c_1001_0^6 - 60*c_1001_0^5 + 14*c_1001_0^4 + 45*c_1001_0^3 - 15*c_1001_0^2 - 13*c_1001_0 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB