Magma V2.19-8 Wed Aug 21 2013 00:57:48 on localhost [Seed = 1208898293] Type ? for help. Type -D to quit. Loading file "L13n4492__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4492 geometric_solution 12.13101032 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 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 0 1 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 0.628102010963 1.169388213468 0 5 7 6 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.643525080052 0.663678132706 7 0 5 8 0213 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 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.745920418222 0.979773639223 6 9 6 0 0132 0132 0213 0132 1 0 0 0 0 0 0 0 0 0 1 -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 0 0 0 -1 0 0 1 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.422177940644 0.359859050542 10 7 0 11 0132 0132 0132 0132 1 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 0 0 0 0 0 0 0 0 4 -1 -3 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 0.104002804777 0.796105368154 10 1 9 2 1230 0132 0132 0132 1 1 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 0 0 0 0 0 0 0 0 -3 0 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 0.623695170152 0.554161414452 3 3 1 11 0132 0213 0132 0213 1 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 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 1.246980802434 0.776601239678 2 4 12 1 0213 0132 0132 0132 1 0 1 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 0 0 0 0 0 0 0 -4 4 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 0.248000393276 0.956331264984 10 11 2 12 3201 3012 0132 2031 1 1 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 1 -1 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.723527005352 0.670711454016 12 3 11 5 2031 0132 3012 0132 1 1 0 0 0 0 0 0 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 0 0 0 0 0 3 -3 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.723527005352 0.670711454016 4 5 12 8 0132 3012 1302 2310 0 0 1 1 0 0 0 0 1 0 -1 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 -1 0 1 0 1 3 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.144037318367 1.103311915989 8 9 4 6 1230 1230 0132 0213 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 0 0 0 0 0 0 0 0 0 0 0 -3 3 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 0.525323261562 1.274411372580 10 8 9 7 2031 1302 1302 0132 1 0 1 0 0 1 0 -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 4 0 -4 0 0 0 0 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.256659385883 0.689078721921 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_0']), 'c_1001_12' : d['c_0101_5'], 'c_1001_5' : d['c_1001_3'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_11'], 'c_1001_6' : d['c_1001_3'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_11']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_12' : d['c_1001_11'], 'c_1010_11' : d['c_0101_9'], 'c_1010_10' : negation(d['c_0101_5']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_12']), 'c_0101_10' : negation(d['c_0011_12']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_1001_11']), 'c_1100_8' : negation(d['c_1001_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_11']), 'c_1100_4' : d['c_1010_6'], 'c_1100_7' : d['c_0101_9'], 'c_1100_6' : d['c_0101_9'], 'c_1100_1' : d['c_0101_9'], 'c_1100_0' : d['c_1010_6'], 'c_1100_3' : d['c_1010_6'], 'c_1100_2' : negation(d['c_1001_11']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1010_6'], 'c_1100_10' : d['c_0011_3'], 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1010_6'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : negation(d['c_0011_11']), 'c_1010_2' : negation(d['c_0011_11']), 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_0011_12'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(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' : d['c_0101_9'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : 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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_3'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_10'], '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_0011_3'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : negation(d['c_0011_0']), 'c_0101_12' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_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' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_1']), '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_5'], 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : negation(d['c_0011_12']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_3'])})} 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_3, c_0101_0, c_0101_1, c_0101_5, c_0101_9, c_1001_1, c_1001_11, c_1001_3, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 34852/3179*c_1010_6^5 + 43925/6358*c_1010_6^4 + 243369/6358*c_1010_6^3 + 99842/3179*c_1010_6^2 + 59144/3179*c_1010_6 + 19119/6358, c_0011_0 - 1, c_0011_10 - 2*c_1010_6^4 - 5*c_1010_6^2 - 2, c_0011_11 - c_1010_6^5 - 4*c_1010_6^3 - c_1010_6^2 - 2*c_1010_6 - 1, c_0011_12 + c_1010_6^2 + 1, c_0011_3 + 8/17*c_1010_6^5 - 6/17*c_1010_6^4 + 28/17*c_1010_6^3 - 13/17*c_1010_6^2 + 4/17*c_1010_6 - 12/17, c_0101_0 - 1, c_0101_1 + 1, c_0101_5 + c_1010_6^2 + 1, c_0101_9 - c_1010_6^5 - 4*c_1010_6^3 - c_1010_6^2 - 2*c_1010_6 - 1, c_1001_1 + c_1010_6^5 + 4*c_1010_6^3 + c_1010_6^2 + c_1010_6 + 1, c_1001_11 + c_1010_6^5 + 3*c_1010_6^3 - c_1010_6^2 + 2*c_1010_6 - 1, c_1001_3 + c_1010_6, c_1010_6^6 + 4*c_1010_6^4 + c_1010_6^3 + 3*c_1010_6^2 + c_1010_6 + 1 ], 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_3, c_0101_0, c_0101_1, c_0101_5, c_0101_9, c_1001_1, c_1001_11, c_1001_3, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 11881673199/44945408*c_1010_6^9 - 2698629155/44945408*c_1010_6^8 + 32828008195/11236352*c_1010_6^7 - 26796008765/22472704*c_1010_6^6 + 92156148493/11236352*c_1010_6^5 - 77526116895/22472704*c_1010_6^4 + 427287623925/44945408*c_1010_6^3 - 42596553153/22472704*c_1010_6^2 + 126215308545/44945408*c_1010_6 - 52454218731/44945408, c_0011_0 - 1, c_0011_10 - 956/10973*c_1010_6^9 - 694/10973*c_1010_6^8 - 9872/10973*c_1010_6^7 - 6035/10973*c_1010_6^6 - 20550/10973*c_1010_6^5 - 22818/10973*c_1010_6^4 - 11291/10973*c_1010_6^3 - 52838/10973*c_1010_6^2 + 4093/10973*c_1010_6 - 20575/10973, c_0011_11 - 691/10973*c_1010_6^9 - 1351/10973*c_1010_6^8 - 8972/10973*c_1010_6^7 - 12523/10973*c_1010_6^6 - 32415/10973*c_1010_6^5 - 23770/10973*c_1010_6^4 - 49792/10973*c_1010_6^3 - 16498/10973*c_1010_6^2 - 40968/10973*c_1010_6 - 857/10973, c_0011_12 + 1351/10973*c_1010_6^9 + 1371/10973*c_1010_6^8 + 13905/10973*c_1010_6^7 + 11685/10973*c_1010_6^6 + 27916/10973*c_1010_6^5 + 26989/10973*c_1010_6^4 + 15807/10973*c_1010_6^3 + 34749/10973*c_1010_6^2 + 2239/10973*c_1010_6 + 691/10973, c_0011_3 + 1351/21946*c_1010_6^9 + 1371/21946*c_1010_6^8 + 13905/21946*c_1010_6^7 + 11685/21946*c_1010_6^6 + 13958/10973*c_1010_6^5 + 26989/21946*c_1010_6^4 + 15807/21946*c_1010_6^3 + 11888/10973*c_1010_6^2 + 2239/21946*c_1010_6 - 5141/10973, c_0101_0 - 1, c_0101_1 - 1, c_0101_5 - 1351/10973*c_1010_6^9 - 1371/10973*c_1010_6^8 - 13905/10973*c_1010_6^7 - 11685/10973*c_1010_6^6 - 27916/10973*c_1010_6^5 - 26989/10973*c_1010_6^4 - 15807/10973*c_1010_6^3 - 34749/10973*c_1010_6^2 - 2239/10973*c_1010_6 - 691/10973, c_0101_9 + 691/10973*c_1010_6^9 + 1351/10973*c_1010_6^8 + 8972/10973*c_1010_6^7 + 12523/10973*c_1010_6^6 + 32415/10973*c_1010_6^5 + 23770/10973*c_1010_6^4 + 49792/10973*c_1010_6^3 + 16498/10973*c_1010_6^2 + 40968/10973*c_1010_6 + 857/10973, c_1001_1 - 691/10973*c_1010_6^9 - 1351/10973*c_1010_6^8 - 8972/10973*c_1010_6^7 - 12523/10973*c_1010_6^6 - 32415/10973*c_1010_6^5 - 23770/10973*c_1010_6^4 - 49792/10973*c_1010_6^3 - 16498/10973*c_1010_6^2 - 51941/10973*c_1010_6 - 857/10973, c_1001_11 - 5498/10973*c_1010_6^9 + 2161/10973*c_1010_6^8 - 60080/10973*c_1010_6^7 + 33449/10973*c_1010_6^6 - 166254/10973*c_1010_6^5 + 82815/10973*c_1010_6^4 - 190895/10973*c_1010_6^3 + 25959/10973*c_1010_6^2 - 40715/10973*c_1010_6 - 5866/10973, c_1001_3 - c_1010_6, c_1010_6^10 + 11*c_1010_6^8 - 2*c_1010_6^7 + 30*c_1010_6^6 - 6*c_1010_6^5 + 33*c_1010_6^4 + c_1010_6^3 + 9*c_1010_6^2 - 2*c_1010_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.290 Total time: 0.500 seconds, Total memory usage: 32.09MB