Magma V2.19-8 Wed Aug 21 2013 01:11:18 on localhost [Seed = 4055361597] Type ? for help. Type -D to quit. Loading file "L14n56962__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n56962 geometric_solution 12.20620959 oriented_manifold CS_known -0.0000000000000006 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 1302 0132 2 2 2 1 0 -1 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 3 -2 -1 0 0 0 0 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.521113650843 0.618239683284 0 4 3 5 0132 0132 1230 0132 2 2 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.783066695087 1.010934862548 0 0 7 6 2031 0132 0132 0132 2 2 1 2 0 1 0 -1 -1 0 0 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 -3 0 3 2 0 0 -2 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.202921692884 0.945639093022 3 3 0 1 1302 2031 0132 3012 2 2 2 2 0 0 0 0 0 0 0 0 0 0 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 0.702742071757 1.043161916585 5 1 6 8 0213 0132 2103 0132 2 2 2 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 0.456875232418 0.461914047984 4 6 1 7 0213 2103 0132 2031 2 2 2 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 -1 0 1 0 0 0 0 0 -3 0 3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.433923531291 0.361666559271 4 5 2 9 2103 2103 0132 0132 2 2 2 1 0 -1 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 3 -3 0 0 0 2 -2 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.134977621772 0.780694684242 8 5 10 2 1302 1302 0132 0132 2 2 2 2 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 -1 0 1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.611194961957 0.787687651689 10 7 4 11 1230 2031 0132 0132 2 2 2 2 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 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.236431019448 1.019494003263 12 10 6 10 0132 1023 0132 0132 2 2 2 2 0 0 0 0 1 0 -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 -2 0 2 0 0 0 0 0 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.069301314570 1.952574738652 9 8 9 7 1023 3012 0132 0132 2 2 2 2 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 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.316976212910 0.590224208571 12 12 8 12 1302 3201 0132 2103 2 2 0 2 0 0 0 0 0 0 0 0 1 0 0 -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 -1 0 1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.784965835969 1.243732306032 9 11 11 11 0132 2031 2310 2103 0 2 2 2 0 -1 0 1 -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 0 1 -1 2 0 -2 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.134977621772 0.780694684242 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_7'], 'c_1001_10' : negation(d['c_0011_8']), 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : d['c_0011_6'], 'c_1001_4' : d['c_0011_6'], 'c_1001_7' : negation(d['c_0101_8']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : negation(d['c_0110_3']), 'c_1001_2' : negation(d['c_0110_3']), 'c_1001_9' : negation(d['c_0011_7']), 'c_1001_8' : negation(d['c_0101_2']), 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_0101_8']), 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : negation(d['c_0011_7']), 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : negation(d['c_0011_7']), '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' : negation(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' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(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' : negation(d['c_0101_9']), 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0110_3'], 'c_1100_4' : negation(d['c_0101_9']), 'c_1100_7' : d['c_1100_10'], 'c_1100_6' : d['c_1100_10'], 'c_1100_1' : d['c_0110_3'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_1100_10'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_9']), 'c_1100_10' : d['c_1100_10'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0110_3']), 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : d['c_0011_7'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : negation(d['c_0110_3']), 'c_1010_9' : negation(d['c_0011_8']), 'c_1010_8' : d['c_0011_7'], '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' : d['1'], 'c_1100_12' : d['c_0011_11'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], '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_0110_11' : negation(d['c_0011_11']), 'c_0110_10' : negation(d['c_0011_8']), 'c_0110_12' : d['c_0101_9'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0101_7' : negation(d['c_0011_8']), 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_9'], '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_0011_7']), 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0011_0'], 'c_1100_9' : d['c_1100_10'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : negation(d['c_0101_8']), 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_9'], 's_2_9' : d['1']})} 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_3, c_0011_5, c_0011_6, c_0011_7, c_0011_8, c_0101_2, c_0101_8, c_0101_9, c_0110_3, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 9686722865141801916109/11403625203700224*c_1100_10^10 + 4138297236899659079677/5701812601850112*c_1100_10^9 + 47228144014529735316667/11403625203700224*c_1100_10^8 - 163268786118626776643785/5701812601850112*c_1100_10^7 + 774036326471934744014653/11403625203700224*c_1100_10^6 + 1169041280426664063470683/5701812601850112*c_1100_10^5 + 2681378520407814463945561/1900604200616704*c_1100_10^4 + 1140139738109358250244159/1900604200616704*c_1100_10^3 + 143951978556982883721031/178181643807816*c_1100_10^2 + 197358349625084960816315/2850906300925056*c_1100_10 - 67100570264793485533331/11403625203700224, c_0011_0 - 1, c_0011_10 - c_1100_10, c_0011_11 - 1, c_0011_3 + 1, c_0011_5 + 76042709/23093692*c_1100_10^10 + 32504747/11546846*c_1100_10^9 + 370810555/23093692*c_1100_10^8 - 640799792/5773423*c_1100_10^7 + 6075220293/23093692*c_1100_10^6 + 4589083777/5773423*c_1100_10^5 + 63153924789/11546846*c_1100_10^4 + 13442266482/5773423*c_1100_10^3 + 36193807279/11546846*c_1100_10^2 + 3112593243/11546846*c_1100_10 - 518572465/23093692, c_0011_6 - 76042709/23093692*c_1100_10^10 - 32504747/11546846*c_1100_10^9 - 370810555/23093692*c_1100_10^8 + 640799792/5773423*c_1100_10^7 - 6075220293/23093692*c_1100_10^6 - 4589083777/5773423*c_1100_10^5 - 63153924789/11546846*c_1100_10^4 - 13442266482/5773423*c_1100_10^3 - 36193807279/11546846*c_1100_10^2 - 3112593243/11546846*c_1100_10 + 518572465/23093692, c_0011_7 + 7509476545049/2699721875876*c_1100_10^10 + 1601844939350/674930468969*c_1100_10^9 + 36603466754213/2699721875876*c_1100_10^8 - 126592686514247/1349860937938*c_1100_10^7 + 600351467693817/2699721875876*c_1100_10^6 + 452977332112108/674930468969*c_1100_10^5 + 3117465071058671/674930468969*c_1100_10^4 + 1322069840387950/674930468969*c_1100_10^3 + 3567001096709063/1349860937938*c_1100_10^2 + 301804572655735/1349860937938*c_1100_10 - 52424656294477/2699721875876, c_0011_8 + 1161974023618/674930468969*c_1100_10^10 + 989664821815/674930468969*c_1100_10^9 + 5662849450715/674930468969*c_1100_10^8 - 78371312730801/1349860937938*c_1100_10^7 + 92957836324296/674930468969*c_1100_10^6 + 280207293308747/674930468969*c_1100_10^5 + 3858271843629539/1349860937938*c_1100_10^4 + 815388678459988/674930468969*c_1100_10^3 + 2206370541933573/1349860937938*c_1100_10^2 + 184110872776849/1349860937938*c_1100_10 - 8208513148868/674930468969, c_0101_2 - 4809937464319/2699721875876*c_1100_10^10 - 2041438109635/1349860937938*c_1100_10^9 - 23428740978529/2699721875876*c_1100_10^8 + 81137440429573/1349860937938*c_1100_10^7 - 385256799624359/2699721875876*c_1100_10^6 - 579403990844245/1349860937938*c_1100_10^5 - 3991141981116277/1349860937938*c_1100_10^4 - 1676043687858179/1349860937938*c_1100_10^3 - 1138921066142787/674930468969*c_1100_10^2 - 91127845346617/674930468969*c_1100_10 + 35018412110989/2699721875876, c_0101_8 + 77578078655/2699721875876*c_1100_10^10 + 12921138531/674930468969*c_1100_10^9 + 369820537717/2699721875876*c_1100_10^8 - 1340815966027/1349860937938*c_1100_10^7 + 6708895914475/2699721875876*c_1100_10^6 + 4352232724711/674930468969*c_1100_10^5 + 62795018571387/1349860937938*c_1100_10^4 + 7921990584148/674930468969*c_1100_10^3 + 17634818642270/674930468969*c_1100_10^2 - 2602188600933/1349860937938*c_1100_10 - 1621604827421/2699721875876, c_0101_9 - 7509476545049/2699721875876*c_1100_10^10 - 1601844939350/674930468969*c_1100_10^9 - 36603466754213/2699721875876*c_1100_10^8 + 126592686514247/1349860937938*c_1100_10^7 - 600351467693817/2699721875876*c_1100_10^6 - 452977332112108/674930468969*c_1100_10^5 - 3117465071058671/674930468969*c_1100_10^4 - 1322069840387950/674930468969*c_1100_10^3 - 3567001096709063/1349860937938*c_1100_10^2 - 303154433593673/1349860937938*c_1100_10 + 52424656294477/2699721875876, c_0110_3 - 1019920836477/674930468969*c_1100_10^10 - 879232164453/674930468969*c_1100_10^9 - 4980031333159/674930468969*c_1100_10^8 + 68685395738779/1349860937938*c_1100_10^7 - 81238669572055/674930468969*c_1100_10^6 - 493551330721017/1349860937938*c_1100_10^5 - 1695870644246095/674930468969*c_1100_10^4 - 1466838869232313/1349860937938*c_1100_10^3 - 1953322520051363/1349860937938*c_1100_10^2 - 181615797193195/1349860937938*c_1100_10 + 12802132382453/1349860937938, c_1100_10^11 + c_1100_10^10 + 5*c_1100_10^9 - 33*c_1100_10^8 + 75*c_1100_10^7 + 253*c_1100_10^6 + 1696*c_1100_10^5 + 948*c_1100_10^4 + 1054*c_1100_10^3 + 220*c_1100_10^2 + 5*c_1100_10 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB