Magma V2.19-8 Wed Aug 21 2013 01:04:20 on localhost [Seed = 998056821] Type ? for help. Type -D to quit. Loading file "L14n24030__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24030 geometric_solution 12.40677507 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 1 0 1 0 0 0 0 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 1 0 -1 -2 0 2 0 0 0 0 0 -1 -2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.208364760226 1.014625503057 0 5 7 6 0132 0132 0132 0132 1 0 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 -1 1 0 2 0 -3 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 0.584305340581 0.887863563231 8 0 3 9 0132 0132 0213 0132 1 0 0 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 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.718226926699 0.739021481473 10 2 9 0 0132 0213 2310 0132 1 0 0 1 0 0 0 0 0 0 -1 1 -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 2 -2 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.560078026270 0.432238548600 5 8 0 9 0132 0132 0132 2310 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 0 0 0 0 0 0 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 0.366757322453 1.015083164013 4 1 11 12 0132 0132 0132 0132 1 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 1 -1 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 0.615413272069 0.758859278350 12 12 1 11 3201 0132 0132 3201 1 0 1 0 0 -1 0 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 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 0.432517984125 0.923795747300 12 11 10 1 0132 3201 0321 0132 1 0 1 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 0 0 0 0 0 0 0 1 -1 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 0 0.432517984125 0.923795747300 2 4 11 10 0132 0132 3201 0321 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442396988319 0.709158985292 4 3 2 10 3201 3201 0132 2103 1 0 1 0 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 0 -1 1 0 0 0 0 1 0 0 -1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.450441382963 1.181396981101 3 8 7 9 0132 0321 0321 2103 1 0 1 0 0 0 1 -1 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 -1 1 0 0 0 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 0.208364760226 1.014625503057 8 6 7 5 2310 2310 2310 0132 1 0 0 1 0 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 -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 0 0 0.355318780642 0.794949259452 7 6 5 6 0132 0132 0132 2310 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 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 0.584305340581 0.887863563231 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_1001_1']), 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : negation(d['c_0110_6']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_11']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_3']), 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_12' : negation(d['c_0110_6']), 'c_1010_11' : negation(d['c_0110_6']), 'c_1010_10' : d['c_1001_2'], 's_0_10' : negation(d['1']), 's_0_11' : 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_0'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_2_12' : d['1'], 's_2_10' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0011_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_12']), 'c_1100_4' : d['c_0011_9'], 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : negation(d['c_0011_11']), 'c_1100_1' : negation(d['c_0011_11']), 'c_1100_0' : d['c_0011_9'], 'c_1100_3' : d['c_0011_9'], 'c_1100_2' : negation(d['c_0101_3']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_12']), 'c_1100_10' : negation(d['c_0101_11']), 's_3_10' : 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_0101_11']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0110_6']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_1001_2']), 'c_1010_8' : d['c_1001_2'], 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_12']), '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' : 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_0']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : negation(d['c_0101_0']), 'c_0101_12' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_0']), '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' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_5']), 'c_0101_8' : negation(d['c_0101_5']), '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' : d['c_0101_11'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} 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_9, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0101_5, c_0110_6, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 2425705153409209127/3256966901013223168*c_1001_2^10 + 27009665285756535141/1628483450506611584*c_1001_2^9 + 122323348388141828097/814241725253305792*c_1001_2^8 + 279407064835695932177/814241725253305792*c_1001_2^7 + 885264994876663189687/3256966901013223168*c_1001_2^6 + 694639912664182600695/3256966901013223168*c_1001_2^5 + 283377708468712794489/814241725253305792*c_1001_2^4 + 106501761811169071305/1628483450506611584*c_1001_2^3 - 277160710332735387359/3256966901013223168*c_1001_2^2 - 188802756291524773231/3256966901013223168*c_1001_2 - 465961292365564526423/3256966901013223168, c_0011_0 - 1, c_0011_10 + 254784819985671/25445053914165806*c_1001_2^10 + 5738008299598957/25445053914165806*c_1001_2^9 + 53043567090245701/25445053914165806*c_1001_2^8 + 135164979120141249/25445053914165806*c_1001_2^7 + 82500273822447023/12722526957082903*c_1001_2^6 + 179052305849450835/25445053914165806*c_1001_2^5 + 209471228380553557/25445053914165806*c_1001_2^4 + 150496171781741059/25445053914165806*c_1001_2^3 + 41169912203961386/12722526957082903*c_1001_2^2 + 4666919143829151/25445053914165806*c_1001_2 + 2182985319076575/12722526957082903, c_0011_11 - 318570731747367/25445053914165806*c_1001_2^10 - 7447107155268637/25445053914165806*c_1001_2^9 - 72431514493031241/25445053914165806*c_1001_2^8 - 225162357996575375/25445053914165806*c_1001_2^7 - 173304237710822756/12722526957082903*c_1001_2^6 - 401731180817915159/25445053914165806*c_1001_2^5 - 466684188787958695/25445053914165806*c_1001_2^4 - 434088211421944351/25445053914165806*c_1001_2^3 - 145384042245707178/12722526957082903*c_1001_2^2 - 133658208192494345/25445053914165806*c_1001_2 - 17466025605421463/12722526957082903, c_0011_12 + 999857609649477/101780215656663224*c_1001_2^10 + 23241885589810191/101780215656663224*c_1001_2^9 + 224319061897456591/101780215656663224*c_1001_2^8 + 677609721232180759/101780215656663224*c_1001_2^7 + 124538261755548107/12722526957082903*c_1001_2^6 + 1060498351739927261/101780215656663224*c_1001_2^5 + 1249487313454628957/101780215656663224*c_1001_2^4 + 1210448639345483487/101780215656663224*c_1001_2^3 + 393421161648465615/50890107828331612*c_1001_2^2 + 360624986847332241/101780215656663224*c_1001_2 + 16136475331700569/12722526957082903, c_0011_9 + 254784819985671/25445053914165806*c_1001_2^10 + 5738008299598957/25445053914165806*c_1001_2^9 + 53043567090245701/25445053914165806*c_1001_2^8 + 135164979120141249/25445053914165806*c_1001_2^7 + 82500273822447023/12722526957082903*c_1001_2^6 + 179052305849450835/25445053914165806*c_1001_2^5 + 209471228380553557/25445053914165806*c_1001_2^4 + 150496171781741059/25445053914165806*c_1001_2^3 + 41169912203961386/12722526957082903*c_1001_2^2 + 4666919143829151/25445053914165806*c_1001_2 + 2182985319076575/12722526957082903, c_0101_0 - 1, c_0101_1 + 318570731747367/25445053914165806*c_1001_2^10 + 7447107155268637/25445053914165806*c_1001_2^9 + 72431514493031241/25445053914165806*c_1001_2^8 + 225162357996575375/25445053914165806*c_1001_2^7 + 173304237710822756/12722526957082903*c_1001_2^6 + 401731180817915159/25445053914165806*c_1001_2^5 + 466684188787958695/25445053914165806*c_1001_2^4 + 434088211421944351/25445053914165806*c_1001_2^3 + 145384042245707178/12722526957082903*c_1001_2^2 + 133658208192494345/25445053914165806*c_1001_2 + 17466025605421463/12722526957082903, c_0101_11 - 1, c_0101_3 - 398570910989187/25445053914165806*c_1001_2^10 - 9298150365718041/25445053914165806*c_1001_2^9 - 90255567556153889/25445053914165806*c_1001_2^8 - 279199489437648171/25445053914165806*c_1001_2^7 - 218600505968424210/12722526957082903*c_1001_2^6 - 526228714261399187/25445053914165806*c_1001_2^5 - 615255019763586729/25445053914165806*c_1001_2^4 - 572276891265840341/25445053914165806*c_1001_2^3 - 214984886374655051/12722526957082903*c_1001_2^2 - 234194382657998321/25445053914165806*c_1001_2 - 40737748723244447/12722526957082903, c_0101_5 - 1910380035793111/203560431313326448*c_1001_2^10 - 5667354195617637/25445053914165806*c_1001_2^9 - 224319588908287711/101780215656663224*c_1001_2^8 - 734359725600930015/101780215656663224*c_1001_2^7 - 2227737364217297265/203560431313326448*c_1001_2^6 - 2339240948835313607/203560431313326448*c_1001_2^5 - 1338698001896703241/101780215656663224*c_1001_2^4 - 152219385057884748/12722526957082903*c_1001_2^3 - 1332330050348387899/203560431313326448*c_1001_2^2 - 569628941245800309/203560431313326448*c_1001_2 + 97754474886490273/203560431313326448, c_0110_6 - 999857609649477/101780215656663224*c_1001_2^10 - 23241885589810191/101780215656663224*c_1001_2^9 - 224319061897456591/101780215656663224*c_1001_2^8 - 677609721232180759/101780215656663224*c_1001_2^7 - 124538261755548107/12722526957082903*c_1001_2^6 - 1060498351739927261/101780215656663224*c_1001_2^5 - 1249487313454628957/101780215656663224*c_1001_2^4 - 1210448639345483487/101780215656663224*c_1001_2^3 - 393421161648465615/50890107828331612*c_1001_2^2 - 360624986847332241/101780215656663224*c_1001_2 - 16136475331700569/12722526957082903, c_1001_1 + 1648325668695251/101780215656663224*c_1001_2^10 + 38965342621734065/101780215656663224*c_1001_2^9 + 384308348870215233/101780215656663224*c_1001_2^8 + 1250352920357741673/101780215656663224*c_1001_2^7 + 247323791428377603/12722526957082903*c_1001_2^6 + 2245372432925150219/101780215656663224*c_1001_2^5 + 2567887240319834123/101780215656663224*c_1001_2^4 + 2372673928963200785/101780215656663224*c_1001_2^3 + 797882715930103345/50890107828331612*c_1001_2^2 + 746274090967523671/101780215656663224*c_1001_2 + 22417603667400144/12722526957082903, c_1001_2^11 + 24*c_1001_2^10 + 242*c_1001_2^9 + 850*c_1001_2^8 + 1543*c_1001_2^7 + 1985*c_1001_2^6 + 2334*c_1001_2^5 + 2352*c_1001_2^4 + 1885*c_1001_2^3 + 1171*c_1001_2^2 + 489*c_1001_2 + 128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB