Magma V2.19-8 Tue Aug 20 2013 23:47:37 on localhost [Seed = 1191259415] Type ? for help. Type -D to quit. Loading file "L11a274__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a274 geometric_solution 10.67815703 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 0 0 2 0132 1230 3012 0132 0 0 0 0 0 0 -1 1 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 2 -1 -1 0 1 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.403459955665 1.244087002039 0 2 4 3 0132 2310 0132 0132 1 0 0 0 0 0 0 0 0 0 0 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 0 1 1 0 -1 0 -2 0 0 2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.049658578344 0.742769585524 5 3 0 1 0132 1023 0132 3201 0 0 1 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 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 0.049658578344 0.742769585524 2 6 1 5 1023 0132 0132 0132 1 0 1 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 1 0 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.681338039825 1.199041049077 7 6 8 1 0132 0321 0132 0132 1 0 0 1 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 -1 1 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.075210350656 0.914657255865 2 9 3 10 0132 0132 0132 0132 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 0 0 0 0 0 0 -1 1 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 0.568873062380 0.786698886080 11 3 9 4 0132 0132 0132 0321 1 1 0 1 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 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.339023975294 0.196944644934 4 11 10 9 0132 0213 2103 1302 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.590797616241 1.135376159115 10 11 10 4 1302 1302 0132 0132 1 0 1 1 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 0 1 -1 1 0 0 3 1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555474244759 0.649255999749 11 5 7 6 1023 0132 2031 0132 1 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 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 0.131621413679 0.796931565715 7 8 5 8 2103 2031 0132 0132 1 0 1 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 -1 -3 0 4 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555474244759 0.649255999749 6 9 7 8 0132 1023 0213 2031 1 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 0 0 0 0 0 1 -1 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 0.603483259487 2.027828331564 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : negation(d['c_0101_4']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : negation(d['c_0101_4']), 'c_1001_8' : d['c_0011_8'], 'c_1010_11' : d['c_0011_8'], 'c_1010_10' : d['c_0011_8'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_4']), 'c_0101_10' : d['c_0101_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_2_10' : d['1'], 's_2_11' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_4'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : d['c_1001_4'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_1100_1'], 'c_1100_2' : d['c_0011_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_4']), 'c_1100_10' : d['c_1100_1'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_1001_4']), 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_1001_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : d['c_1001_5'], 'c_1010_8' : d['c_1001_4'], 'c_1100_8' : d['c_1100_1'], '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_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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_11'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : d['c_0011_11'], 'c_0110_11' : d['c_0011_8'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_1'], 'c_0101_6' : d['c_0011_8'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : negation(d['c_0011_10']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_8'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_4'], 'c_0110_6' : negation(d['c_0011_4'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_4, c_0101_5, c_1001_4, c_1001_5, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 10197415245471/257501104048*c_1100_1^14 + 4192382304561/257501104048*c_1100_1^13 - 9179697098553/257501104048*c_1100_1^12 - 46252691870143/257501104048*c_1100_1^11 - 10240744899425/128750552024*c_1100_1^10 - 27024061324401/64375276012*c_1100_1^9 + 74714861810127/257501104048*c_1100_1^8 + 149151736450449/257501104048*c_1100_1^7 + 91100104556783/128750552024*c_1100_1^6 - 92689995199131/128750552024*c_1100_1^5 + 98732602829603/257501104048*c_1100_1^4 - 249473603059/257501104048*c_1100_1^3 + 21945075562489/128750552024*c_1100_1^2 - 32249530279777/128750552024*c_1100_1 + 566727634107/16093819003, c_0011_0 - 1, c_0011_10 - 34555223/62897192*c_1100_1^14 + 9862757/62897192*c_1100_1^13 + 42944843/62897192*c_1100_1^12 + 130669089/62897192*c_1100_1^11 - 5964564/7862149*c_1100_1^10 + 39345206/7862149*c_1100_1^9 - 488109295/62897192*c_1100_1^8 - 322827811/62897192*c_1100_1^7 - 48754267/15724298*c_1100_1^6 + 550679403/31448596*c_1100_1^5 - 855054075/62897192*c_1100_1^4 + 94740829/62897192*c_1100_1^3 - 27200883/15724298*c_1100_1^2 + 171130415/31448596*c_1100_1 - 59654045/15724298, c_0011_11 - c_1100_1, c_0011_4 + 24971075/62897192*c_1100_1^14 - 15074307/62897192*c_1100_1^13 - 32397845/62897192*c_1100_1^12 - 84909967/62897192*c_1100_1^11 + 34977265/31448596*c_1100_1^10 - 55342501/15724298*c_1100_1^9 + 420189307/62897192*c_1100_1^8 + 143143229/62897192*c_1100_1^7 + 13535995/31448596*c_1100_1^6 - 445296009/31448596*c_1100_1^5 + 841673587/62897192*c_1100_1^4 - 101664323/62897192*c_1100_1^3 + 43645639/31448596*c_1100_1^2 - 166756617/31448596*c_1100_1 + 28718778/7862149, c_0011_8 - 2216489/62897192*c_1100_1^14 - 7367659/62897192*c_1100_1^13 - 2995061/62897192*c_1100_1^12 + 17196465/62897192*c_1100_1^11 + 18446583/31448596*c_1100_1^10 + 11100727/15724298*c_1100_1^9 + 46845375/62897192*c_1100_1^8 - 65703499/62897192*c_1100_1^7 - 89842291/31448596*c_1100_1^6 - 44075737/31448596*c_1100_1^5 + 111024783/62897192*c_1100_1^4 + 33165781/62897192*c_1100_1^3 - 12327703/31448596*c_1100_1^2 + 2542807/31448596*c_1100_1 - 2231284/7862149, c_0101_0 + 72655989/62897192*c_1100_1^14 - 20427737/62897192*c_1100_1^13 - 91668639/62897192*c_1100_1^12 - 281835357/62897192*c_1100_1^11 + 47357801/31448596*c_1100_1^10 - 160696251/15724298*c_1100_1^9 + 1052691261/62897192*c_1100_1^8 + 718343919/62897192*c_1100_1^7 + 225154439/31448596*c_1100_1^6 - 1164900875/31448596*c_1100_1^5 + 1592809485/62897192*c_1100_1^4 - 223112441/62897192*c_1100_1^3 + 137585487/31448596*c_1100_1^2 - 350990563/31448596*c_1100_1 + 52330944/7862149, c_0101_1 + 72655989/62897192*c_1100_1^14 - 20427737/62897192*c_1100_1^13 - 91668639/62897192*c_1100_1^12 - 281835357/62897192*c_1100_1^11 + 47357801/31448596*c_1100_1^10 - 160696251/15724298*c_1100_1^9 + 1052691261/62897192*c_1100_1^8 + 718343919/62897192*c_1100_1^7 + 225154439/31448596*c_1100_1^6 - 1164900875/31448596*c_1100_1^5 + 1592809485/62897192*c_1100_1^4 - 223112441/62897192*c_1100_1^3 + 137585487/31448596*c_1100_1^2 - 319541967/31448596*c_1100_1 + 52330944/7862149, c_0101_4 + 9506325/31448596*c_1100_1^14 - 921689/7862149*c_1100_1^13 - 3080474/7862149*c_1100_1^12 - 8846279/7862149*c_1100_1^11 + 17288437/31448596*c_1100_1^10 - 41822781/15724298*c_1100_1^9 + 144231389/31448596*c_1100_1^8 + 20561878/7862149*c_1100_1^7 + 41153401/31448596*c_1100_1^6 - 78637751/7862149*c_1100_1^5 + 255973487/31448596*c_1100_1^4 - 7267708/7862149*c_1100_1^3 + 29636613/31448596*c_1100_1^2 - 22500805/7862149*c_1100_1 + 36152035/15724298, c_0101_5 + 1, c_1001_4 + 4853231/62897192*c_1100_1^14 - 4124891/62897192*c_1100_1^13 - 9873989/62897192*c_1100_1^12 - 13059415/62897192*c_1100_1^11 + 12150615/31448596*c_1100_1^10 - 6449381/15724298*c_1100_1^9 + 84662071/62897192*c_1100_1^8 + 37827021/62897192*c_1100_1^7 - 43789399/31448596*c_1100_1^6 - 118896161/31448596*c_1100_1^5 + 153452687/62897192*c_1100_1^4 + 112292213/62897192*c_1100_1^3 + 2956437/31448596*c_1100_1^2 - 18671517/31448596*c_1100_1 - 1778817/7862149, c_1001_5 - 20427737/62897192*c_1100_1^14 + 1415087/62897192*c_1100_1^13 + 27801249/62897192*c_1100_1^12 + 85927003/62897192*c_1100_1^11 - 2735179/15724298*c_1100_1^10 + 21212562/7862149*c_1100_1^9 - 261691353/62897192*c_1100_1^8 - 268035041/62897192*c_1100_1^7 - 20561878/7862149*c_1100_1^6 + 326545865/31448596*c_1100_1^5 - 290146157/62897192*c_1100_1^4 - 82964497/62897192*c_1100_1^3 - 13160029/7862149*c_1100_1^2 + 92929809/31448596*c_1100_1 - 16281601/15724298, c_1100_1^15 - c_1100_1^14 - c_1100_1^13 - 3*c_1100_1^12 + 4*c_1100_1^11 - 10*c_1100_1^10 + 21*c_1100_1^9 - c_1100_1^8 - 36*c_1100_1^6 + 45*c_1100_1^5 - 21*c_1100_1^4 + 8*c_1100_1^3 - 12*c_1100_1^2 + 12*c_1100_1 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB