Magma V2.19-8 Tue Aug 20 2013 23:57:22 on localhost [Seed = 2160519261] Type ? for help. Type -D to quit. Loading file "L14n32703__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n32703 geometric_solution 10.41834119 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 1023 1 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 1 0 -1 0 0 1 -1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.909034861342 0.679200744948 0 2 5 4 0132 0213 0132 0132 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.882410406231 0.641282096880 5 0 1 0 1023 0132 0213 1023 1 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 -1 0 1 0 0 -1 1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.352092741525 0.657185495840 6 7 8 0 0132 0132 0132 0132 1 1 1 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 0 -1 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.215293915394 0.359258835169 6 9 1 10 2103 0132 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.222064965947 2.083908637821 7 2 11 1 2031 1023 0132 0132 1 1 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 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 0.492873167206 1.236405637195 3 8 4 11 0132 1023 2103 1230 1 1 0 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 0 0 0 0 0 0 0 -1 0 0 1 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452913247409 0.594582032546 11 3 5 10 1230 0132 1302 3120 1 1 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 0 0 0 0 0 0 0 0 0 0 -1 0 1 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 -0.009459498697 1.003710204995 6 10 9 3 1023 3120 1302 0132 1 1 0 1 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.549865837881 1.092702009463 8 4 9 9 2031 0132 1230 3012 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.098818402945 0.530836684999 7 8 4 11 3120 3120 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.177398558311 0.826240103823 6 7 10 5 3012 3012 0132 0132 1 1 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 0 0 0 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 0.134978258800 0.364724378229 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_3'], 'c_1001_10' : negation(d['c_0110_9']), 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0101_9']), 'c_1001_7' : d['c_0101_1'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0110_2'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : d['c_0110_2'], 'c_1001_9' : negation(d['c_0110_9']), 'c_1001_8' : d['c_0110_9'], 'c_1010_11' : negation(d['c_0011_0']), 'c_1010_10' : d['c_0011_3'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_11'], 'c_0101_10' : d['c_0101_10'], '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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_9'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0101_9'], 'c_1100_3' : d['c_0101_9'], 'c_1100_2' : negation(d['c_0101_9']), 's_0_10' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : d['c_1100_1'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_0110_2'], 'c_1010_4' : negation(d['c_0110_9']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_9']), 'c_1010_0' : d['c_0110_2'], 'c_1010_9' : negation(d['c_0101_9']), 'c_1010_8' : negation(d['c_0011_10']), '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' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_3']), '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' : negation(d['c_0101_10']), 'c_0110_10' : d['c_0011_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_10']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_11'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_4'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0110_9'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_11'], 'c_0110_6' : d['c_0011_11']})} 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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_9, c_0110_2, c_0110_9, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 193491683433201808768576713/178788743552196865761313024*c_1100_1^9 - 38131804948728475353972851/5587148236006152055041032*c_1100_1^8 - 5151152987695143010547705655/178788743552196865761313024*c_1100_1^7 - 3217572141514550837792660439/44697185888049216440328256*c_1100_1^\ 6 - 12363378646241100102378774093/89394371776098432880656512*c_1100\ _1^5 - 11767530327487265328050389/68292109836591621757568*c_1100_1^\ 4 - 16312256377092035462230316813/178788743552196865761313024*c_110\ 0_1^3 - 10808542282080786133894545/211084703131283194523392*c_1100_\ 1^2 - 334480685203462948610985969/1477592921918982361663744*c_1100_\ 1 - 38071920643038776184004869255/178788743552196865761313024, c_0011_0 - 1, c_0011_10 + 673994463/17323039132*c_1100_1^9 + 1835433517/8661519566*c_1100_1^8 + 15252579315/17323039132*c_1100_1^7 + 8510162436/4330759783*c_1100_1^6 + 33030605073/8661519566*c_1100_1^5 + 4963419781/1237359938*c_1100_1^4 + 31721827247/17323039132*c_1100_1^3 + 5216505349/2474719876*c_1100_1^2 + 106991171155/17323039132*c_1100_1 + 78722487871/17323039132, c_0011_11 - 1804530743/17323039132*c_1100_1^9 - 5328294031/8661519566*c_1100_1^8 - 44202303723/17323039132*c_1100_1^7 - 26176522655/4330759783*c_1100_1^6 - 99007730383/8661519566*c_1100_1^5 - 16285331713/1237359938*c_1100_1^4 - 95663183895/17323039132*c_1100_1^3 - 11309621517/2474719876*c_1100_1^2 - 341412686451/17323039132*c_1100_1 - 223359895867/17323039132, c_0011_3 - 1, c_0011_4 - 78629849/17323039132*c_1100_1^9 - 353391593/8661519566*c_1100_1^8 - 3518981377/17323039132*c_1100_1^7 - 2915764437/4330759783*c_1100_1^6 - 13869616265/8661519566*c_1100_1^5 - 3664509503/1237359938*c_1100_1^4 - 64017026321/17323039132*c_1100_1^3 - 9225303959/2474719876*c_1100_1^2 - 42346428301/17323039132*c_1100_1 - 27953201281/17323039132, c_0101_0 - 78629849/17323039132*c_1100_1^9 - 353391593/8661519566*c_1100_1^8 - 3518981377/17323039132*c_1100_1^7 - 2915764437/4330759783*c_1100_1^6 - 13869616265/8661519566*c_1100_1^5 - 3664509503/1237359938*c_1100_1^4 - 64017026321/17323039132*c_1100_1^3 - 9225303959/2474719876*c_1100_1^2 - 59669467433/17323039132*c_1100_1 - 45276240413/17323039132, c_0101_1 + 41281699/8661519566*c_1100_1^9 + 64566770/4330759783*c_1100_1^8 + 370097051/8661519566*c_1100_1^7 - 85927510/4330759783*c_1100_1^6 - 579466292/4330759783*c_1100_1^5 - 342317436/618679969*c_1100_1^4 - 7968952331/8661519566*c_1100_1^3 + 252160033/1237359938*c_1100_1^2 + 8048794973/8661519566*c_1100_1 - 2299660953/8661519566, c_0101_10 + 42649099/4330759783*c_1100_1^9 + 270390312/4330759783*c_1100_1^8 + 1119179703/4330759783*c_1100_1^7 + 2816699474/4330759783*c_1100_1^6 + 5378379879/4330759783*c_1100_1^5 + 1008059536/618679969*c_1100_1^4 + 4112431061/4330759783*c_1100_1^3 + 575585812/618679969*c_1100_1^2 + 13094232947/4330759783*c_1100_1 + 5965203981/4330759783, c_0101_9 + 23922729/4330759783*c_1100_1^9 + 417770741/8661519566*c_1100_1^8 + 1867917763/8661519566*c_1100_1^7 + 2887126463/4330759783*c_1100_1^6 + 5862897634/4330759783*c_1100_1^5 + 1359212698/618679969*c_1100_1^4 + 7043053607/4330759783*c_1100_1^3 + 1074103503/1237359938*c_1100_1^2 + 4763345775/4330759783*c_1100_1 + 10451790883/8661519566, c_0110_2 + 37599147/17323039132*c_1100_1^9 + 64968805/8661519566*c_1100_1^8 + 449036727/17323039132*c_1100_1^7 + 124178034/4330759783*c_1100_1^6 + 558860585/8661519566*c_1100_1^5 + 85764623/1237359938*c_1100_1^4 + 500477511/17323039132*c_1100_1^3 + 1813977893/2474719876*c_1100_1^2 + 7028958635/17323039132*c_1100_1 + 2681242439/17323039132, c_0110_9 + 159838353/8661519566*c_1100_1^9 + 454817809/4330759783*c_1100_1^8 + 3680799435/8661519566*c_1100_1^7 + 4170974105/4330759783*c_1100_1^6 + 7515152728/4330759783*c_1100_1^5 + 1144205974/618679969*c_1100_1^4 + 2610739863/8661519566*c_1100_1^3 + 1514699393/1237359938*c_1100_1^2 + 33741041143/8661519566*c_1100_1 + 14317112329/8661519566, c_1100_1^10 + 7*c_1100_1^9 + 31*c_1100_1^8 + 85*c_1100_1^7 + 174*c_1100_1^6 + 248*c_1100_1^5 + 195*c_1100_1^4 + 106*c_1100_1^3 + 242*c_1100_1^2 + 342*c_1100_1 + 137 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.140 Total time: 0.360 seconds, Total memory usage: 32.09MB