Magma V2.19-8 Tue Aug 20 2013 23:55:58 on localhost [Seed = 4155613134] Type ? for help. Type -D to quit. Loading file "L14n13456__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13456 geometric_solution 11.11129174 oriented_manifold CS_known -0.0000000000000011 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 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 -1 1 0 0 -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 0.707514768419 0.471532273823 0 5 7 6 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.469128181835 0.935853278076 8 0 8 9 0132 0132 3120 0132 1 0 1 1 0 0 0 0 -2 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 3 0 -2 -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 0.701274139539 0.553715870404 5 7 6 0 0132 0132 0132 0132 1 1 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 0 0 0 0 0 0 0 0 -1 1 -5 0 4 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 0.469128181835 0.935853278076 10 10 0 11 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 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 0.701274139539 0.553715870404 3 1 6 6 0132 0132 2103 0321 1 1 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 0 0 0 0 0 0 0 0 -1 1 5 0 -4 -1 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.113463934870 1.375084854347 5 5 1 3 2103 0321 0132 0132 1 1 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 0 0 0 0 -1 0 1 4 0 0 -4 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.113463934870 1.375084854347 10 3 9 1 3120 0132 0213 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.707514768419 0.471532273823 2 10 2 11 0132 3120 3120 1230 1 0 1 1 0 0 0 0 2 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 -1 -3 0 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 0.701274139539 0.553715870404 11 7 2 11 1230 0213 0132 0213 1 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 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 0.121635977078 0.693543469040 4 8 4 7 0132 3120 0213 3120 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 -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 0.121635977078 0.693543469040 8 9 4 9 3012 3012 0132 0213 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 -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 0.701274139539 0.553715870404 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_9']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0011_6'], 'c_1001_4' : d['c_1001_10'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_1001_10'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_1001_10']), 'c_1010_11' : negation(d['c_0101_8']), 'c_1010_10' : negation(d['c_0011_0']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_10']), 'c_0101_10' : negation(d['c_0011_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_1100_9' : negation(d['c_0101_8']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_1010_9'], 'c_1100_7' : d['c_1010_9'], 'c_1100_6' : d['c_1010_9'], 'c_1100_1' : d['c_1010_9'], 'c_1100_0' : d['c_1010_9'], 'c_1100_3' : d['c_1010_9'], 'c_1100_2' : negation(d['c_0101_8']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1010_9'], 'c_1100_10' : negation(d['c_0011_9']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_9']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : d['c_1001_10'], 'c_1010_9' : d['c_1010_9'], 'c_1010_8' : negation(d['c_0011_10']), 'c_1100_8' : negation(d['c_0011_11']), '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_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_11']), 'c_0110_10' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_9'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : d['c_0011_11'], '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'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_6'])})} 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_6, c_0011_9, c_0101_0, c_0101_1, c_0101_8, c_1001_0, c_1001_1, c_1001_10, c_1010_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 45525992685/512*c_1001_10^14 + 1111324724515/1024*c_1001_10^13 + 6956722225585/1024*c_1001_10^12 + 14249046093255/512*c_1001_10^11 + 41563832327407/512*c_1001_10^10 + 179686072135083/1024*c_1001_10^9 + 292273583291269/1024*c_1001_10^8 + 178776732965893/512*c_1001_10^7 + 324565862859485/1024*c_1001_10^6 + 212072895547817/1024*c_1001_10^5 + 96430467282839/1024*c_1001_10^4 + 29424040038945/1024*c_1001_10^3 + 178489240595/32*c_1001_10^2 + 635524219895/1024*c_1001_10 + 30813007685/1024, c_0011_0 - 1, c_0011_10 - 512255*c_1001_10^14 - 12503365/2*c_1001_10^13 - 78263605/2*c_1001_10^12 - 160292685*c_1001_10^11 - 467539496*c_1001_10^10 - 2021134503/2*c_1001_10^9 - 3287407727/2*c_1001_10^8 - 2010796834*c_1001_10^7 - 3650678239/2*c_1001_10^6 - 2385674529/2*c_1001_10^5 - 1085146619/2*c_1001_10^4 - 331338121/2*c_1001_10^3 - 32194457*c_1001_10^2 - 7175719/2*c_1001_10 - 348625/2, c_0011_11 - 1, c_0011_6 - 753325/2*c_1001_10^14 - 18477395/4*c_1001_10^13 - 116164945/4*c_1001_10^12 - 239000425/2*c_1001_10^11 - 700650075/2*c_1001_10^10 - 3046499739/4*c_1001_10^9 - 4989589629/4*c_1001_10^8 - 3078072451/2*c_1001_10^7 - 5649032481/4*c_1001_10^6 - 3744608973/4*c_1001_10^5 - 1734214451/4*c_1001_10^4 - 540869393/4*c_1001_10^3 - 26905018*c_1001_10^2 - 12301791/4*c_1001_10 - 613785/4, c_0011_9 - c_1001_10, c_0101_0 - 200*c_1001_10^14 - 2490*c_1001_10^13 - 15875*c_1001_10^12 - 66300*c_1001_10^11 - 197685*c_1001_10^10 - 438448*c_1001_10^9 - 735895*c_1001_10^8 - 936704*c_1001_10^7 - 895729*c_1001_10^6 - 628817*c_1001_10^5 - 315398*c_1001_10^4 - 109660*c_1001_10^3 - 25264*c_1001_10^2 - 3520*c_1001_10 - 228, c_0101_1 + 1230870*c_1001_10^14 + 15025125*c_1001_10^13 + 94066515*c_1001_10^12 + 385393950*c_1001_10^11 + 1124357069*c_1001_10^10 + 2430851065*c_1001_10^9 + 3954961635*c_1001_10^8 + 4839921740*c_1001_10^7 + 4395423234*c_1001_10^6 + 2873934741*c_1001_10^5 + 1308085676*c_1001_10^4 + 399687880*c_1001_10^3 + 77724545*c_1001_10^2 + 8667371*c_1001_10 + 421328, c_0101_8 - 1743125*c_1001_10^14 - 42553615/2*c_1001_10^13 - 266396635/2*c_1001_10^12 - 545686635*c_1001_10^11 - 1591896565*c_1001_10^10 - 6882836633/2*c_1001_10^9 - 11197330997/2*c_1001_10^8 - 6850718574*c_1001_10^7 - 12441524707/2*c_1001_10^6 - 8133544011/2*c_1001_10^5 - 3701317971/2*c_1001_10^4 - 1130713881/2*c_1001_10^3 - 109919002*c_1001_10^2 - 24510461/2*c_1001_10 - 1191281/2, c_1001_0 - 1230870*c_1001_10^14 - 15025125*c_1001_10^13 - 94066515*c_1001_10^12 - 385393950*c_1001_10^11 - 1124357069*c_1001_10^10 - 2430851065*c_1001_10^9 - 3954961635*c_1001_10^8 - 4839921740*c_1001_10^7 - 4395423234*c_1001_10^6 - 2873934741*c_1001_10^5 - 1308085676*c_1001_10^4 - 399687880*c_1001_10^3 - 77724545*c_1001_10^2 - 8667371*c_1001_10 - 421328, c_1001_1 - 200*c_1001_10^14 - 2490*c_1001_10^13 - 15875*c_1001_10^12 - 66300*c_1001_10^11 - 197685*c_1001_10^10 - 438448*c_1001_10^9 - 735895*c_1001_10^8 - 936704*c_1001_10^7 - 895729*c_1001_10^6 - 628817*c_1001_10^5 - 315398*c_1001_10^4 - 109660*c_1001_10^3 - 25264*c_1001_10^2 - 3520*c_1001_10 - 228, c_1001_10^15 + 25/2*c_1001_10^14 + 80*c_1001_10^13 + 671/2*c_1001_10^12 + 5026/5*c_1001_10^11 + 4485/2*c_1001_10^10 + 18958/5*c_1001_10^9 + 48731/10*c_1001_10^8 + 47223/10*c_1001_10^7 + 16901/5*c_1001_10^6 + 1746*c_1001_10^5 + 3178/5*c_1001_10^4 + 1581/10*c_1001_10^3 + 51/2*c_1001_10^2 + 12/5*c_1001_10 + 1/10, c_1010_9 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB