Magma V2.19-8 Wed Aug 21 2013 01:10:03 on localhost [Seed = 189600402] Type ? for help. Type -D to quit. Loading file "L14n503__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n503 geometric_solution 11.56759239 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 1 1 0 1 0 0 0 0 0 0 0 0 1 2 0 -3 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 1 1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.089987630900 0.873835254643 0 4 4 5 0132 0132 1302 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 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 0.883388254816 1.132371782963 0 0 4 5 3012 0132 0132 0213 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 3 -2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 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 0.571719752060 0.548991301756 6 7 5 0 0132 0132 2103 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 -1 0 0 1 0 0 0 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.272965855470 0.566167009244 1 1 8 2 2031 0132 0132 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 1 -1 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 0.571719752060 0.548991301756 3 8 1 2 2103 0132 0132 0213 1 1 1 1 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 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.117967478628 0.470244261665 3 9 10 10 0132 0132 0132 3120 1 1 1 1 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 0 -1 -9 0 0 9 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.303808480231 0.740425938285 9 3 8 9 0132 0132 1302 1023 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 1 -1 0 0 0 0 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.756467383779 1.976942862395 7 5 11 4 2031 0132 0132 0132 1 1 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 0 0 0 0 0 1 -1 0 0 0 0 -8 9 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.690955818884 1.433133051836 7 6 11 7 0132 0132 2103 1023 1 1 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 0 0 0 0 -1 0 1 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.282535431896 0.895644742074 6 12 12 6 3120 0132 2103 0132 1 1 1 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 1 0 -1 0 -9 1 0 8 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.674007765832 0.716832679308 9 12 12 8 2103 1302 1023 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 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 0.674007765832 0.716832679308 10 10 11 11 2103 0132 1023 2031 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 1 0 0 -1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.303808480231 0.740425938285 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : negation(d['c_0011_10']), 'c_1001_12' : d['c_0101_11'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0101_4'], 'c_1001_6' : d['c_0101_11'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_1001_8'], 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : d['c_1001_8'], 'c_1010_10' : d['c_0101_11'], 's_0_10' : negation(d['1']), 's_3_10' : negation(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' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(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' : 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' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_1001_8'], 'c_1100_7' : d['c_0101_8'], 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : d['c_1001_8'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_8'], 'c_1100_10' : negation(d['c_0101_10']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_5'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_1001_8'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_1001_4'], 'c_1100_8' : d['c_1001_8'], '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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1001_8']), '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_3'], 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], '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' : d['c_0101_8'], 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : d['c_0101_10'], 'c_0101_12' : d['c_0101_10'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0011_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_5'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_8']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0110_2']), 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_0']})} 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_3, c_0011_5, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_4, c_0101_8, c_0110_2, c_1001_4, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 1253436935516391605/10233857498663923564544*c_1001_4^15 - 4481188816302711581/10233857498663923564544*c_1001_4^14 + 7120364689164581905/10233857498663923564544*c_1001_4^13 + 44916603744487457019/10233857498663923564544*c_1001_4^12 + 11442154060243597071/10233857498663923564544*c_1001_4^11 - 237759075668907526317/10233857498663923564544*c_1001_4^10 - 242966747383019101363/10233857498663923564544*c_1001_4^9 + 959143166055909359731/10233857498663923564544*c_1001_4^8 + 952068395534034159153/10233857498663923564544*c_1001_4^7 - 2888871872904876107359/10233857498663923564544*c_1001_4^6 - 2089944709127640780669/10233857498663923564544*c_1001_4^5 + 5900970275403878750297/10233857498663923564544*c_1001_4^4 + 3007974311573518405045/10233857498663923564544*c_1001_4^3 - 220158128399887306443/276590743207133069312*c_1001_4^2 - 7484460725977854357/46307047505266622464*c_1001_4 + 7864342513704647659705/10233857498663923564544, c_0011_0 - 1, c_0011_10 + 660315/1998012416*c_1001_4^15 + 1052543/1998012416*c_1001_4^14 - 8466875/1998012416*c_1001_4^13 - 24727087/1998012416*c_1001_4^12 + 7717191/1998012416*c_1001_4^11 + 139761915/1998012416*c_1001_4^10 + 67937929/1998012416*c_1001_4^9 - 506144187/1998012416*c_1001_4^8 - 121279407/1998012416*c_1001_4^7 + 1296859965/1998012416*c_1001_4^6 + 292488943/1998012416*c_1001_4^5 - 2831643629/1998012416*c_1001_4^4 - 81814835/1998012416*c_1001_4^3 + 3178416393/1998012416*c_1001_4^2 - 1562501117/1998012416*c_1001_4 - 4996916073/1998012416, c_0011_3 - 839975/1998012416*c_1001_4^15 - 631225/1998012416*c_1001_4^14 + 12951639/1998012416*c_1001_4^13 + 23645641/1998012416*c_1001_4^12 - 47110131/1998012416*c_1001_4^11 - 192284237/1998012416*c_1001_4^10 + 92595923/1998012416*c_1001_4^9 + 919801709/1998012416*c_1001_4^8 - 320288277/1998012416*c_1001_4^7 - 2475373643/1998012416*c_1001_4^6 + 685264901/1998012416*c_1001_4^5 + 4564698267/1998012416*c_1001_4^4 - 1276457105/1998012416*c_1001_4^3 - 3802967535/1998012416*c_1001_4^2 + 2512820497/1998012416*c_1001_4 + 1011553263/1998012416, c_0011_5 - 1775435/1998012416*c_1001_4^15 - 7270547/1998012416*c_1001_4^14 + 2199267/1998012416*c_1001_4^13 + 49492315/1998012416*c_1001_4^12 + 50772329/1998012416*c_1001_4^11 - 204235327/1998012416*c_1001_4^10 - 356871553/1998012416*c_1001_4^9 + 726693335/1998012416*c_1001_4^8 + 1096011231/1998012416*c_1001_4^7 - 1805309689/1998012416*c_1001_4^6 - 2169530295/1998012416*c_1001_4^5 + 3068193073/1998012416*c_1001_4^4 + 1559862851/1998012416*c_1001_4^3 - 4255549941/1998012416*c_1001_4^2 - 1356933995/1998012416*c_1001_4 + 1871379421/1998012416, c_0101_0 - 1, c_0101_10 - 304815/499503104*c_1001_4^15 - 1008239/249751552*c_1001_4^14 - 1606401/249751552*c_1001_4^13 + 6809137/499503104*c_1001_4^12 + 27922767/499503104*c_1001_4^11 + 654271/124875776*c_1001_4^10 - 28016049/124875776*c_1001_4^9 - 57151853/499503104*c_1001_4^8 + 315165599/499503104*c_1001_4^7 + 85122769/249751552*c_1001_4^6 - 311635161/249751552*c_1001_4^5 - 460264649/499503104*c_1001_4^4 + 777140961/499503104*c_1001_4^3 + 6407521/15609472*c_1001_4^2 - 121078029/62437888*c_1001_4 - 543403035/499503104, c_0101_11 + 99745/124875776*c_1001_4^15 + 275157/62437888*c_1001_4^14 + 1203605/499503104*c_1001_4^13 - 14165835/499503104*c_1001_4^12 - 13724677/249751552*c_1001_4^11 + 19635977/249751552*c_1001_4^10 + 158346447/499503104*c_1001_4^9 - 83201753/499503104*c_1001_4^8 - 65893249/62437888*c_1001_4^7 + 48608981/124875776*c_1001_4^6 + 1048987843/499503104*c_1001_4^5 - 259844877/499503104*c_1001_4^4 - 655104905/249751552*c_1001_4^3 + 313109993/249751552*c_1001_4^2 + 1064589369/499503104*c_1001_4 - 633840367/499503104, c_0101_2 - 70315/499503104*c_1001_4^15 - 412303/499503104*c_1001_4^14 - 1085387/499503104*c_1001_4^13 - 427551/499503104*c_1001_4^12 + 6482837/499503104*c_1001_4^11 + 12118321/499503104*c_1001_4^10 - 13056339/499503104*c_1001_4^9 - 68590247/499503104*c_1001_4^8 - 14668697/499503104*c_1001_4^7 + 268251547/499503104*c_1001_4^6 + 97379287/499503104*c_1001_4^5 - 642640197/499503104*c_1001_4^4 - 404859089/499503104*c_1001_4^3 + 972930371/499503104*c_1001_4^2 + 155337159/499503104*c_1001_4 - 1171617909/499503104, c_0101_4 + 70315/499503104*c_1001_4^15 + 412303/499503104*c_1001_4^14 + 1085387/499503104*c_1001_4^13 + 427551/499503104*c_1001_4^12 - 6482837/499503104*c_1001_4^11 - 12118321/499503104*c_1001_4^10 + 13056339/499503104*c_1001_4^9 + 68590247/499503104*c_1001_4^8 + 14668697/499503104*c_1001_4^7 - 268251547/499503104*c_1001_4^6 - 97379287/499503104*c_1001_4^5 + 642640197/499503104*c_1001_4^4 + 404859089/499503104*c_1001_4^3 - 972930371/499503104*c_1001_4^2 - 654840263/499503104*c_1001_4 + 1171617909/499503104, c_0101_8 + 839975/1998012416*c_1001_4^15 + 631225/1998012416*c_1001_4^14 - 12951639/1998012416*c_1001_4^13 - 23645641/1998012416*c_1001_4^12 + 47110131/1998012416*c_1001_4^11 + 192284237/1998012416*c_1001_4^10 - 92595923/1998012416*c_1001_4^9 - 919801709/1998012416*c_1001_4^8 + 320288277/1998012416*c_1001_4^7 + 2475373643/1998012416*c_1001_4^6 - 685264901/1998012416*c_1001_4^5 - 4564698267/1998012416*c_1001_4^4 + 1276457105/1998012416*c_1001_4^3 + 3802967535/1998012416*c_1001_4^2 - 2512820497/1998012416*c_1001_4 - 1011553263/1998012416, c_0110_2 - c_1001_4, c_1001_4^16 + 16/5*c_1001_4^15 - 24/5*c_1001_4^14 - 128/5*c_1001_4^13 - 4/5*c_1001_4^12 + 688/5*c_1001_4^11 + 376/5*c_1001_4^10 - 608*c_1001_4^9 - 786/5*c_1001_4^8 + 1712*c_1001_4^7 + 56*c_1001_4^6 - 16576/5*c_1001_4^5 + 4636/5*c_1001_4^4 + 22992/5*c_1001_4^3 - 12792/5*c_1001_4^2 - 13536/5*c_1001_4 + 16757/5, c_1001_8 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.200 Total time: 0.410 seconds, Total memory usage: 32.09MB