Magma V2.19-8 Wed Aug 21 2013 01:01:17 on localhost [Seed = 3634283308] Type ? for help. Type -D to quit. Loading file "L14a28912__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14a28912 geometric_solution 10.94172730 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 3 1 0132 0132 0132 3201 2 2 2 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 0 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 0 0 0 0 0 0 -0.529049825799 0.818715684232 0 0 1 1 0132 2310 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.291531360903 0.333570871037 3 0 5 4 2310 0132 0132 0132 2 0 2 2 0 -1 1 0 0 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 -2 3 -1 1 0 1 -2 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.405819999433 0.538317859673 6 7 2 0 0132 0132 3201 0132 2 2 2 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 -2 2 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 0.405819999433 0.538317859673 8 9 2 10 0132 0132 0132 0132 2 0 0 2 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 -1 1 0 0 0 2 -2 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.617896860112 0.662727969589 11 6 11 2 0132 1230 3012 0132 2 0 2 1 0 1 0 -1 0 0 -1 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 0 3 0 -3 0 0 1 -1 0 -2 0 2 4 1 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.669629955122 0.502132354613 3 8 5 8 0132 0132 3012 0213 1 2 0 2 0 0 0 0 0 0 -1 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 -1 1 0 0 -3 3 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.669629955122 0.502132354613 10 3 12 11 0132 0132 0132 3012 2 0 0 2 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.617896860112 0.662727969589 4 6 11 6 0132 0132 2031 0213 1 0 2 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 1 -1 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 0.669629955122 0.502132354613 10 4 12 12 1023 0132 3201 0321 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 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.104301800916 1.081988443978 7 9 4 12 0132 1023 0132 0132 2 0 2 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 0 2 -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 1.368423729059 1.938270201401 5 5 7 8 0132 1230 1230 1302 0 0 1 2 0 1 -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 0 -1 1 0 0 0 0 0 -4 5 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.914440005743 1.389865456494 9 9 10 7 2310 0321 0132 0132 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 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 0.104301800916 1.081988443978 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_3'], 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0101_12']), 'c_1001_12' : negation(d['c_0011_12']), 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_11']), 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : negation(d['c_0101_12']), 'c_1001_8' : negation(d['c_0101_5']), 'c_1010_12' : d['c_1001_0'], 'c_1010_11' : d['c_0101_5'], 'c_1010_10' : negation(d['c_0011_12']), 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : negation(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' : negation(d['1']), 's_2_1' : 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' : negation(d['1']), 's_2_10' : negation(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' : negation(d['c_0101_5']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_11']), 'c_1100_4' : negation(d['c_1001_11']), 'c_1100_7' : negation(d['c_1001_11']), 'c_1100_6' : d['c_0011_11'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_1001_11']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : negation(d['c_1001_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_11']), 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0101_12']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : d['c_1001_0'], 'c_1010_8' : d['c_0011_11'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(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' : negation(d['c_1001_11']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : 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_12'], 'c_0110_12' : d['c_0101_12'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_12'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_12']), 'c_0101_8' : d['c_0101_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_12']), 'c_0110_8' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_12']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10']})} 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_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_3, c_0101_5, c_1001_0, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 10515529849210295/138190047488*c_1001_11^12 - 31736462585486127/69095023744*c_1001_11^11 + 62419878875774437/69095023744*c_1001_11^10 - 2681795354194851/17273755936*c_1001_11^9 - 289231619882664421/138190047488*c_1001_11^8 + 32824445453235395/8636877968*c_1001_11^7 - 446667797451102251/138190047488*c_1001_11^6 + 86512192509996739/69095023744*c_1001_11^5 + 5624877946569591/34547511872*c_1001_11^4 - 31965052865412003/69095023744*c_1001_11^3 + 16955672778555377/69095023744*c_1001_11^2 - 4413699238967433/69095023744*c_1001_11 + 1002500996347993/138190047488, c_0011_0 - 1, c_0011_10 - c_1001_11, c_0011_11 + 1, c_0011_12 - 740134229485/2159219492*c_1001_11^12 + 2125878960331/1079609746*c_1001_11^11 - 3773056160989/1079609746*c_1001_11^10 - 172242681883/539804873*c_1001_11^9 + 20129304099427/2159219492*c_1001_11^8 - 7759817994032/539804873*c_1001_11^7 + 22389270862481/2159219492*c_1001_11^6 - 2892057652743/1079609746*c_1001_11^5 - 768800360581/539804873*c_1001_11^4 + 1739405245555/1079609746*c_1001_11^3 - 680499472861/1079609746*c_1001_11^2 + 128333753305/1079609746*c_1001_11 - 16672589683/2159219492, c_0101_0 + 609152273135/1079609746*c_1001_11^12 - 1791791984591/539804873*c_1001_11^11 + 3343238087003/539804873*c_1001_11^10 - 121458101056/539804873*c_1001_11^9 - 16735181116113/1079609746*c_1001_11^8 + 13914288476848/539804873*c_1001_11^7 - 21715858412609/1079609746*c_1001_11^6 + 3473930022873/539804873*c_1001_11^5 + 1055909910240/539804873*c_1001_11^4 - 1630359361545/539804873*c_1001_11^3 + 736823601365/539804873*c_1001_11^2 - 163732165327/539804873*c_1001_11 + 29425408433/1079609746, c_0101_1 - 336441529375/2159219492*c_1001_11^12 + 533954050315/539804873*c_1001_11^11 - 1142416621193/539804873*c_1001_11^10 + 803849289027/1079609746*c_1001_11^9 + 9582424590879/2159219492*c_1001_11^8 - 4890178649763/539804873*c_1001_11^7 + 17987628458611/2159219492*c_1001_11^6 - 1946221759267/539804873*c_1001_11^5 - 225877622409/1079609746*c_1001_11^4 + 633242257165/539804873*c_1001_11^3 - 362365482903/539804873*c_1001_11^2 + 95800782028/539804873*c_1001_11 - 46580535939/2159219492, c_0101_10 + 18974524520/539804873*c_1001_11^12 - 144358646124/539804873*c_1001_11^11 + 391888727464/539804873*c_1001_11^10 - 316305674790/539804873*c_1001_11^9 - 594052677481/539804873*c_1001_11^8 + 1746604342558/539804873*c_1001_11^7 - 1926302376605/539804873*c_1001_11^6 + 1035196872588/539804873*c_1001_11^5 - 84728054129/539804873*c_1001_11^4 - 249261566522/539804873*c_1001_11^3 + 175411042202/539804873*c_1001_11^2 - 53053600476/539804873*c_1001_11 + 7333005835/539804873, c_0101_11 - 1, c_0101_12 + 26716594100/539804873*c_1001_11^12 - 146846296520/539804873*c_1001_11^11 + 234986283990/539804873*c_1001_11^10 + 88246066705/539804873*c_1001_11^9 - 711679562310/539804873*c_1001_11^8 + 938000713749/539804873*c_1001_11^7 - 551075432692/539804873*c_1001_11^6 + 46779005089/539804873*c_1001_11^5 + 133245902314/539804873*c_1001_11^4 - 90838875770/539804873*c_1001_11^3 + 23773970990/539804873*c_1001_11^2 - 2449193589/539804873*c_1001_11 - 2324399/539804873, c_0101_3 - 1, c_0101_5 + 32138395800/539804873*c_1001_11^12 - 148145133640/539804873*c_1001_11^11 + 122540645996/539804873*c_1001_11^10 + 376693391460/539804873*c_1001_11^9 - 796330091370/539804873*c_1001_11^8 + 362537162069/539804873*c_1001_11^7 + 435190203387/539804873*c_1001_11^6 - 671123960378/539804873*c_1001_11^5 + 299796120610/539804873*c_1001_11^4 + 18564732161/539804873*c_1001_11^3 - 87451413081/539804873*c_1001_11^2 + 36538195841/539804873*c_1001_11 - 6414765955/539804873, c_1001_0 + 609152273135/1079609746*c_1001_11^12 - 1791791984591/539804873*c_1001_11^11 + 3343238087003/539804873*c_1001_11^10 - 121458101056/539804873*c_1001_11^9 - 16735181116113/1079609746*c_1001_11^8 + 13914288476848/539804873*c_1001_11^7 - 21715858412609/1079609746*c_1001_11^6 + 3473930022873/539804873*c_1001_11^5 + 1055909910240/539804873*c_1001_11^4 - 1630359361545/539804873*c_1001_11^3 + 736823601365/539804873*c_1001_11^2 - 163192360454/539804873*c_1001_11 + 29425408433/1079609746, c_1001_11^13 - 31/5*c_1001_11^12 + 452/35*c_1001_11^11 - 30/7*c_1001_11^10 - 933/35*c_1001_11^9 + 1909/35*c_1001_11^8 - 1823/35*c_1001_11^7 + 893/35*c_1001_11^6 - 2*c_1001_11^5 - 214/35*c_1001_11^4 + 156/35*c_1001_11^3 - 8/5*c_1001_11^2 + 11/35*c_1001_11 - 1/35 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB