Magma V2.19-8 Wed Aug 21 2013 01:05:10 on localhost [Seed = 425656710] Type ? for help. Type -D to quit. Loading file "L14n25245__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25245 geometric_solution 12.12623156 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 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 -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 0.125885541930 1.612399352638 0 5 6 4 0132 0132 0132 3120 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 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 0.734289355416 0.578664388759 3 0 8 7 1023 0132 0132 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 1 0 -1 0 0 0 0 1 0 0 -1 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.270081839812 1.244958679604 9 2 10 0 0132 1023 0132 0132 1 1 1 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 1 -1 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.368696467084 0.627626523023 1 11 0 12 3120 0132 0132 0132 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 -1 1 1 0 0 -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 -0.207849605605 1.146050767208 9 1 8 11 1023 0132 3120 1023 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 -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 0.902395212473 0.695217455283 10 8 10 1 0321 2031 2310 0132 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 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 0.549792368716 0.672295579881 12 12 2 9 1302 3012 0132 3012 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 1 -1 0 0 0 0 -1 1 0 0 10 -11 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.308972148108 0.502721404121 6 11 5 2 1302 3012 3120 0132 1 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.316494800133 0.576559593769 3 5 7 11 0132 1023 1230 3012 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 0 0 0 0 0 0 2 0 0 -2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.300815499754 0.549106178124 6 6 12 3 0321 3201 0132 0132 1 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 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.687688192892 1.026925578981 8 4 9 5 1230 0132 1230 1023 1 0 0 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 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 0.370611448623 0.536995011249 7 7 4 10 1230 2031 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 1 -1 0 -1 0 1 0 11 -10 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.308972148108 0.502721404121 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_7']), 'c_1001_10' : d['c_0011_7'], 'c_1001_12' : negation(d['c_0110_7']), 'c_1001_5' : d['c_0011_11'], 'c_1001_4' : negation(d['c_0101_11']), 'c_1001_7' : negation(d['c_0011_12']), 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0011_8'], 'c_1001_0' : negation(d['c_0011_12']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0101_11']), 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_12' : d['c_0011_7'], 'c_1010_11' : negation(d['c_0101_11']), 'c_1010_10' : d['c_0101_2'], 's_3_11' : d['1'], 's_3_10' : 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_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' : 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' : 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_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_5']), 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_5']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_6']), 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_0']), 'c_1010_6' : d['c_0011_8'], 'c_1010_5' : d['c_0011_8'], 'c_1010_4' : negation(d['c_0110_7']), 'c_1010_3' : negation(d['c_0011_12']), 'c_1010_2' : negation(d['c_0011_12']), 'c_1010_1' : d['c_0011_11'], 'c_1010_0' : negation(d['c_0101_11']), 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : negation(d['c_0101_11']), 'c_1100_8' : negation(d['c_0101_5']), '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'], 'c_1100_12' : d['c_1100_0'], '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_0'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_8'], 'c_0110_10' : negation(d['c_0011_6']), 'c_0110_12' : d['c_0011_7'], 'c_0101_12' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_10']), 'c_0101_7' : negation(d['c_0011_12']), 'c_0101_6' : negation(d['c_0011_7']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_10']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_6']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_6']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0110_7'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_12']), 'c_0110_5' : negation(d['c_0101_11']), 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : negation(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_0011_6, c_0011_7, c_0011_8, c_0101_0, c_0101_11, c_0101_2, c_0101_5, c_0110_7, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 32/35*c_1100_0 - 608/105, c_0011_0 - 1, c_0011_10 - 1/2, c_0011_11 + 3/4*c_1100_0 - 1/2, c_0011_12 - c_1100_0, c_0011_6 + 3/2*c_1100_0 + 1/2, c_0011_7 - c_1100_0, c_0011_8 - 3/8*c_1100_0 - 1/4, c_0101_0 - 1, c_0101_11 + 3/2*c_1100_0, c_0101_2 - 3/2*c_1100_0 - 1, c_0101_5 + c_1100_0, c_0110_7 - c_1100_0 + 1, c_1100_0^2 + 2/3*c_1100_0 + 2/3 ], 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_6, c_0011_7, c_0011_8, c_0101_0, c_0101_11, c_0101_2, c_0101_5, c_0110_7, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 5462859791062887/17604399474969680*c_1100_0^8 + 140701624298370371/17604399474969680*c_1100_0^7 + 45541143363942353/4401099868742420*c_1100_0^6 + 8771818022682901/220054993437121*c_1100_0^5 + 76765839985635211/880219973748484*c_1100_0^4 + 197628828317474477/2200549934371210*c_1100_0^3 + 117250901416382269/2200549934371210*c_1100_0^2 + 6250577120440791/53671949618810*c_1100_0 + 43719581249949619/2200549934371210, c_0011_0 - 1, c_0011_10 - 22854793171/692541285404*c_1100_0^8 + 595699814331/692541285404*c_1100_0^7 + 578302720323/692541285404*c_1100_0^6 + 2762166782971/692541285404*c_1100_0^5 + 2735693626375/346270642702*c_1100_0^4 + 1218905688479/173135321351*c_1100_0^3 + 533180005501/173135321351*c_1100_0^2 + 1799971432605/173135321351*c_1100_0 - 243426861489/173135321351, c_0011_11 + 97024511977/692541285404*c_1100_0^8 - 2536164184501/692541285404*c_1100_0^7 - 2268006042543/692541285404*c_1100_0^6 - 11470962380359/692541285404*c_1100_0^5 - 5648709450839/173135321351*c_1100_0^4 - 9384128017967/346270642702*c_1100_0^3 - 1961806892190/173135321351*c_1100_0^2 - 7766163952170/173135321351*c_1100_0 + 1374062134195/173135321351, c_0011_12 - 10049134169/692541285404*c_1100_0^8 + 130622068673/346270642702*c_1100_0^7 + 275231497005/692541285404*c_1100_0^6 + 287038545260/173135321351*c_1100_0^5 + 606813428562/173135321351*c_1100_0^4 + 966079926251/346270642702*c_1100_0^3 + 168914869540/173135321351*c_1100_0^2 + 736230245439/173135321351*c_1100_0 + 122995601245/173135321351, c_0011_6 + 22431544507/692541285404*c_1100_0^8 - 292298811703/346270642702*c_1100_0^7 - 568538545737/692541285404*c_1100_0^6 - 682789183632/173135321351*c_1100_0^5 - 1382651510114/173135321351*c_1100_0^4 - 1235040278493/173135321351*c_1100_0^3 - 679744696752/173135321351*c_1100_0^2 - 1903730503030/173135321351*c_1100_0 + 204709151951/173135321351, c_0011_7 - 105812166/173135321351*c_1100_0^8 + 11102190925/692541285404*c_1100_0^7 + 4882087293/346270642702*c_1100_0^6 + 31010048443/692541285404*c_1100_0^5 - 29609393853/346270642702*c_1100_0^4 - 16134590014/173135321351*c_1100_0^3 - 146564691251/173135321351*c_1100_0^2 - 103759070425/173135321351*c_1100_0 - 38717709538/173135321351, c_0011_8 - 140064959267/346270642702*c_1100_0^8 + 7320846366371/692541285404*c_1100_0^7 + 3292495282739/346270642702*c_1100_0^6 + 33278166295819/692541285404*c_1100_0^5 + 32771610958097/346270642702*c_1100_0^4 + 13773332335512/173135321351*c_1100_0^3 + 5974387447923/173135321351*c_1100_0^2 + 22727941087904/173135321351*c_1100_0 - 4107914781804/173135321351, c_0101_0 - 1, c_0101_11 - 4432001467/346270642702*c_1100_0^8 + 228890571381/692541285404*c_1100_0^7 + 69824175176/173135321351*c_1100_0^6 + 1150108173969/692541285404*c_1100_0^5 + 1195278518565/346270642702*c_1100_0^4 + 1220693649505/346270642702*c_1100_0^3 + 332174284428/173135321351*c_1100_0^2 + 815251015774/173135321351*c_1100_0 + 9206639309/173135321351, c_0101_2 - 4220377135/346270642702*c_1100_0^8 + 54447095114/173135321351*c_1100_0^7 + 134766263059/346270642702*c_1100_0^6 + 559549062763/346270642702*c_1100_0^5 + 612443956209/173135321351*c_1100_0^4 + 1252962829533/346270642702*c_1100_0^3 + 478738975679/173135321351*c_1100_0^2 + 745874764848/173135321351*c_1100_0 + 47924348847/173135321351, c_0101_5 - 4102568494/173135321351*c_1100_0^8 + 420276902051/692541285404*c_1100_0^7 + 151258290419/173135321351*c_1100_0^6 + 2282639635277/692541285404*c_1100_0^5 + 1256573770585/173135321351*c_1100_0^4 + 1417008511206/173135321351*c_1100_0^3 + 1068794901000/173135321351*c_1100_0^2 + 1726805257455/173135321351*c_1100_0 + 194398210182/173135321351, c_0110_7 - 1799119015/173135321351*c_1100_0^8 + 46338571525/173135321351*c_1100_0^7 + 60905454447/173135321351*c_1100_0^6 + 414281527373/346270642702*c_1100_0^5 + 479438147888/173135321351*c_1100_0^4 + 855894420789/346270642702*c_1100_0^3 + 68564440223/173135321351*c_1100_0^2 + 469239582711/173135321351*c_1100_0 + 213568276601/173135321351, c_1100_0^9 - 26*c_1100_0^8 - 27*c_1100_0^7 - 122*c_1100_0^6 - 250*c_1100_0^5 - 228*c_1100_0^4 - 112*c_1100_0^3 - 336*c_1100_0^2 + 16*c_1100_0 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.420 Total time: 0.630 seconds, Total memory usage: 32.09MB