Magma V2.19-8 Wed Aug 21 2013 01:07:21 on localhost [Seed = 4240106999] Type ? for help. Type -D to quit. Loading file "L14n33063__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33063 geometric_solution 12.04908681 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 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 1 0 -1 0 0 4 -4 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.677099252943 1.381679044384 0 5 7 6 0132 0132 0132 0132 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 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 0.012893287480 0.909926626815 8 0 10 9 0132 0132 0132 0132 0 1 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 -1 0 1 1 0 -1 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.516348468315 0.306791040799 5 4 11 0 3120 3012 0132 0132 0 0 0 1 0 0 0 0 -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 0 0 0 4 0 0 -4 -1 4 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584343760995 0.637407092838 3 12 0 5 1230 0132 0132 1302 0 0 1 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 0 0 0 0 0 0 0 0 3 1 -4 -4 0 4 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 -0.558640642130 1.070566231005 11 1 4 3 2031 0132 2031 3120 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 0 0 0 0 0 0 0 -1 1 0 0 0 4 -4 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.340241148844 1.310611029335 11 7 1 12 1023 0132 0132 1230 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.387360494043 0.986102031333 9 6 10 1 1302 0132 3201 0132 1 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.024502135838 0.705901454942 2 11 12 9 0132 2031 3120 2103 1 1 0 0 0 0 0 0 0 0 1 -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 -1 0 1 0 0 1 0 -1 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.622115290195 0.703393454835 10 7 2 8 2310 2031 0132 2103 0 1 1 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 -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 0.762579615954 0.822303354611 7 12 9 2 2310 0321 3201 0132 0 1 0 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 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 0.870057811321 1.065794751912 8 6 5 3 1302 1023 1302 0132 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 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 0.345289696311 0.845462069200 6 4 8 10 3012 0132 3120 0321 0 1 0 1 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 -3 3 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 0.441313134821 0.805342090059 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_0'], 'c_1001_10' : negation(d['c_0101_8']), 'c_1001_12' : d['c_0101_3'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_12'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_1']), 'c_1001_8' : negation(d['c_0101_3']), 'c_1010_12' : d['c_1001_2'], 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : d['c_1001_2'], 's_3_11' : negation(d['1']), 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_0']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_0101_5'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : negation(d['c_0011_9']), 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0011_9']), 'c_1100_11' : d['c_0101_5'], 'c_1100_10' : negation(d['c_0011_9']), 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : d['c_0011_11'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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'], 'c_1100_12' : negation(d['c_0101_8']), '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' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_12']), 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : 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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0011_9'], 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_12' : negation(d['c_0101_10']), 'c_0101_7' : negation(d['c_0011_9']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_9'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : d['c_0011_9'], '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_8'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_12']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_5, c_0101_8, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 7373257366850143/20085709541135*c_1001_2^10 + 43645642981703611/20085709541135*c_1001_2^9 - 180780496091172391/20085709541135*c_1001_2^8 + 656238628301514859/20085709541135*c_1001_2^7 - 62092024350682218/573877415461*c_1001_2^6 + 3516689139198392083/20085709541135*c_1001_2^5 - 810461854212747326/4017141908227*c_1001_2^4 + 2925949146574040436/20085709541135*c_1001_2^3 - 1534369039472329124/20085709541135*c_1001_2^2 + 103382516174473174/4017141908227*c_1001_2 - 97578698391892262/20085709541135, c_0011_0 - 1, c_0011_10 + 145655553/11711783989*c_1001_2^10 - 889605651/11711783989*c_1001_2^9 + 3804149616/11711783989*c_1001_2^8 - 13844325771/11711783989*c_1001_2^7 + 45847595310/11711783989*c_1001_2^6 - 78863539110/11711783989*c_1001_2^5 + 96051805659/11711783989*c_1001_2^4 - 48232699976/11711783989*c_1001_2^3 - 8914182442/11711783989*c_1001_2^2 + 24162949967/11711783989*c_1001_2 - 11023061394/11711783989, c_0011_11 - 34665735220/81982487923*c_1001_2^10 + 197883395814/81982487923*c_1001_2^9 - 807025952540/81982487923*c_1001_2^8 + 2910479930824/81982487923*c_1001_2^7 - 1369703807154/11711783989*c_1001_2^6 + 14459221968025/81982487923*c_1001_2^5 - 15844075679406/81982487923*c_1001_2^4 + 10463156578849/81982487923*c_1001_2^3 - 5198590723917/81982487923*c_1001_2^2 + 1588233659196/81982487923*c_1001_2 - 201712041192/81982487923, c_0011_12 - 7671990415/81982487923*c_1001_2^10 + 43181010240/81982487923*c_1001_2^9 - 176525510254/81982487923*c_1001_2^8 + 635924832079/81982487923*c_1001_2^7 - 299014788422/11711783989*c_1001_2^6 + 3109612964394/81982487923*c_1001_2^5 - 3503606363536/81982487923*c_1001_2^4 + 2174971885309/81982487923*c_1001_2^3 - 1132522874023/81982487923*c_1001_2^2 + 359186410015/81982487923*c_1001_2 - 104447769473/81982487923, c_0011_3 + 1, c_0011_9 - 1250322/8280223*c_1001_2^10 + 7376916/8280223*c_1001_2^9 - 30157516/8280223*c_1001_2^8 + 108875861/8280223*c_1001_2^7 - 51319717/1182889*c_1001_2^6 + 563851160/8280223*c_1001_2^5 - 593437206/8280223*c_1001_2^4 + 386608248/8280223*c_1001_2^3 - 152418865/8280223*c_1001_2^2 + 38129425/8280223*c_1001_2 + 134859/8280223, c_0101_0 + 1831343379/81982487923*c_1001_2^10 - 9047010564/81982487923*c_1001_2^9 + 35597248374/81982487923*c_1001_2^8 - 126927305979/81982487923*c_1001_2^7 + 59017295193/11711783989*c_1001_2^6 - 463151217129/81982487923*c_1001_2^5 + 543685238508/81982487923*c_1001_2^4 - 378797916160/81982487923*c_1001_2^3 + 370676033184/81982487923*c_1001_2^2 - 128478210258/81982487923*c_1001_2 + 2850932250/81982487923, c_0101_1 + 2850932250/81982487923*c_1001_2^10 - 15274250121/81982487923*c_1001_2^9 + 62226295686/81982487923*c_1001_2^8 - 223837586376/81982487923*c_1001_2^7 + 104864890503/11711783989*c_1001_2^6 - 1015195990899/81982487923*c_1001_2^5 + 1216047878121/81982487923*c_1001_2^4 - 716426815992/81982487923*c_1001_2^3 + 308276756090/81982487923*c_1001_2^2 + 40662439511/81982487923*c_1001_2 - 74310497508/81982487923, c_0101_10 - 2342303892/11711783989*c_1001_2^10 + 14958550008/11711783989*c_1001_2^9 - 63282792061/11711783989*c_1001_2^8 + 231700380015/11711783989*c_1001_2^7 - 773020277504/11711783989*c_1001_2^6 + 1386520459312/11711783989*c_1001_2^5 - 1634295428208/11711783989*c_1001_2^4 + 1261357356511/11711783989*c_1001_2^3 - 626425119899/11711783989*c_1001_2^2 + 207109923733/11711783989*c_1001_2 - 23184185733/11711783989, c_0101_3 + 2850932250/81982487923*c_1001_2^10 - 15274250121/81982487923*c_1001_2^9 + 62226295686/81982487923*c_1001_2^8 - 223837586376/81982487923*c_1001_2^7 + 104864890503/11711783989*c_1001_2^6 - 1015195990899/81982487923*c_1001_2^5 + 1216047878121/81982487923*c_1001_2^4 - 716426815992/81982487923*c_1001_2^3 + 308276756090/81982487923*c_1001_2^2 + 122644927434/81982487923*c_1001_2 - 74310497508/81982487923, c_0101_5 - 145655553/11711783989*c_1001_2^10 + 889605651/11711783989*c_1001_2^9 - 3804149616/11711783989*c_1001_2^8 + 13844325771/11711783989*c_1001_2^7 - 45847595310/11711783989*c_1001_2^6 + 78863539110/11711783989*c_1001_2^5 - 96051805659/11711783989*c_1001_2^4 + 48232699976/11711783989*c_1001_2^3 + 8914182442/11711783989*c_1001_2^2 - 35874733956/11711783989*c_1001_2 + 11023061394/11711783989, c_0101_8 - 11498405493/81982487923*c_1001_2^10 + 69083251459/81982487923*c_1001_2^9 - 283734416104/81982487923*c_1001_2^8 + 1025665122574/81982487923*c_1001_2^7 - 484054186325/11711783989*c_1001_2^6 + 5457937781664/81982487923*c_1001_2^5 - 5737285830805/81982487923*c_1001_2^4 + 3687819285952/81982487923*c_1001_2^3 - 1268509563852/81982487923*c_1001_2^2 + 290142072112/81982487923*c_1001_2 + 28956337045/81982487923, c_1001_2^11 - 6*c_1001_2^10 + 25*c_1001_2^9 - 91*c_1001_2^8 + 302*c_1001_2^7 - 501*c_1001_2^6 + 589*c_1001_2^5 - 442*c_1001_2^4 + 241*c_1001_2^3 - 87*c_1001_2^2 + 19*c_1001_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.190 Total time: 0.390 seconds, Total memory usage: 32.09MB