Magma V2.19-8 Tue Aug 20 2013 23:53:29 on localhost [Seed = 1696796316] Type ? for help. Type -D to quit. Loading file "L13n6055__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6055 geometric_solution 11.02228442 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 1 1 0 0 0 0 -1 0 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 0 1 5 0 -6 1 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.888290234914 0.634126758171 0 5 3 6 0132 0132 3120 0132 1 0 1 1 0 0 0 0 1 0 0 -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 -5 0 0 5 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.498343555504 0.380911778274 2 0 2 4 2310 0132 3201 2031 1 1 1 1 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 1 0 -1 0 0 -5 5 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.082234816811 0.662437600342 7 8 1 0 0132 0132 3120 0132 1 0 1 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 0 0 -6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.717774426177 0.664652652694 8 2 0 9 2103 1302 0132 0132 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 0 0 0 -5 -1 6 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 0.254274749503 0.532353409953 7 1 9 10 1302 0132 3012 0132 1 1 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 0 0 0 0 0 0 0 0 0 1 -1 5 0 -6 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 0.909712801511 0.530731414091 7 11 1 11 2103 0132 0132 2103 1 0 1 1 0 0 0 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 0 0 0 0 0 -5 5 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.352498428645 1.078932939044 3 5 6 10 0132 2031 2103 0213 1 0 1 1 0 0 0 0 -1 0 0 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 6 0 0 -6 0 1 0 -1 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.357102988422 0.650910880312 9 3 4 10 3120 0132 2103 3201 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 0 0 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 0.249945693348 0.694543531226 11 5 4 8 2103 1230 0132 3120 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 6 -6 0 1 0 -1 0 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.264405010162 0.960072906794 11 8 5 7 0213 2310 0132 0213 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 -1 1 0 0 0 -1 1 -6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.768095373332 0.777669870313 10 6 9 6 0213 0132 2103 2103 1 0 1 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 0 0 6 0 -1 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.352498428645 1.078932939044 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_9'], 'c_1001_10' : d['c_1001_1'], 'c_1001_5' : negation(d['c_0011_9']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : negation(d['c_0011_9']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : negation(d['c_0101_2']), 'c_1001_9' : negation(d['c_0011_0']), 'c_1001_8' : d['c_0011_4'], 'c_1010_11' : negation(d['c_0011_9']), 'c_1010_10' : negation(d['c_0110_6']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : d['c_0011_11'], '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_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_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0101_1']), 'c_1100_7' : negation(d['c_0110_6']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : d['c_0011_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0110_6']), 'c_1100_10' : d['c_0011_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_0'], 'c_1010_6' : d['c_0011_9'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0011_9']), 'c_1010_0' : negation(d['c_0101_2']), 'c_1010_9' : d['c_0011_3'], 'c_1010_8' : negation(d['c_1001_1']), 'c_1100_8' : negation(d['c_0011_10']), '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'], '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_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_11']), '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_3'], 'c_0110_10' : negation(d['c_0101_3']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_6'], 'c_0110_8' : d['c_0110_6'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_1']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0011_11'], 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0110_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 3/25*c_1001_1^4 - 2/5*c_1001_1^3 - 11/25*c_1001_1^2 - 4/5*c_1001_1 - 16/25, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - 38/275*c_1001_1^5 - 107/275*c_1001_1^4 - 14/25*c_1001_1^3 - 386/275*c_1001_1^2 + 3/55*c_1001_1 - 2/55, c_0011_3 + 76/275*c_1001_1^5 + 214/275*c_1001_1^4 + 28/25*c_1001_1^3 + 772/275*c_1001_1^2 + 49/55*c_1001_1 + 59/55, c_0011_4 - 14/275*c_1001_1^5 + 4/275*c_1001_1^4 + 8/25*c_1001_1^3 + 17/275*c_1001_1^2 + 59/55*c_1001_1 - 76/55, c_0011_9 + 38/275*c_1001_1^5 + 107/275*c_1001_1^4 + 14/25*c_1001_1^3 + 386/275*c_1001_1^2 - 3/55*c_1001_1 + 2/55, c_0101_0 - 1, c_0101_1 + 14/275*c_1001_1^5 - 4/275*c_1001_1^4 - 8/25*c_1001_1^3 - 17/275*c_1001_1^2 - 59/55*c_1001_1 + 21/55, c_0101_2 - 52/275*c_1001_1^5 - 103/275*c_1001_1^4 - 6/25*c_1001_1^3 - 369/275*c_1001_1^2 + 62/55*c_1001_1 - 23/55, c_0101_3 + 38/275*c_1001_1^5 + 107/275*c_1001_1^4 + 14/25*c_1001_1^3 + 386/275*c_1001_1^2 + 52/55*c_1001_1 + 57/55, c_0110_6 - 38/275*c_1001_1^5 - 107/275*c_1001_1^4 - 14/25*c_1001_1^3 - 386/275*c_1001_1^2 - 52/55*c_1001_1 - 2/55, c_1001_1^6 + 3*c_1001_1^5 + 4*c_1001_1^4 + 9*c_1001_1^3 + 3*c_1001_1^2 + 5 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0110_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 120109469441/226968866000*c_1001_1^9 + 8382066458589/1815750928000*c_1001_1^8 - 7777971873461/907875464000*c_1001_1^7 + 9625492526977/907875464000*c_1001_1^6 + 3878190634493/1815750928000*c_1001_1^5 - 4162810720853/1815750928000*c_1001_1^4 + 11222832893/5535826000*c_1001_1^3 + 2964139313071/363150185600*c_1001_1^2 + 1514176132471/72630037120*c_1001_1 - 19139513719479/1815750928000, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - 2376690/2767913*c_1001_1^9 + 10737099/11071652*c_1001_1^8 - 5041383/5535826*c_1001_1^7 - 4552621/5535826*c_1001_1^6 - 5506973/11071652*c_1001_1^5 + 1159201/11071652*c_1001_1^4 - 755435/2767913*c_1001_1^3 - 51909339/11071652*c_1001_1^2 - 9759335/11071652*c_1001_1 + 4423071/11071652, c_0011_3 - c_1001_1, c_0011_4 - 674225/5535826*c_1001_1^9 + 24537011/44286608*c_1001_1^8 - 15760483/22143304*c_1001_1^7 + 3331863/22143304*c_1001_1^6 + 37913075/44286608*c_1001_1^5 - 26901835/44286608*c_1001_1^4 + 1101337/5535826*c_1001_1^3 + 24374901/44286608*c_1001_1^2 + 61279553/44286608*c_1001_1 - 48684825/44286608, c_0011_9 - 1704409/2767913*c_1001_1^9 + 13370251/22143304*c_1001_1^8 - 7026685/11071652*c_1001_1^7 - 6464899/11071652*c_1001_1^6 - 10393913/22143304*c_1001_1^5 - 4028851/22143304*c_1001_1^4 - 2248107/5535826*c_1001_1^3 - 56705367/22143304*c_1001_1^2 - 24970007/22143304*c_1001_1 - 4775117/22143304, c_0101_0 - 1, c_0101_1 - 3077611/5535826*c_1001_1^9 + 76925155/132859824*c_1001_1^8 - 65038115/66429912*c_1001_1^7 - 7133521/66429912*c_1001_1^6 - 38214351/44286608*c_1001_1^5 - 41668123/132859824*c_1001_1^4 - 13934089/16607478*c_1001_1^3 - 285409979/132859824*c_1001_1^2 - 77127477/44286608*c_1001_1 - 149597689/132859824, c_0101_2 - 3598101/5535826*c_1001_1^9 + 23862591/44286608*c_1001_1^8 - 7066921/22143304*c_1001_1^7 - 32376763/22143304*c_1001_1^6 + 22679259/44286608*c_1001_1^5 - 23039327/44286608*c_1001_1^4 - 9555739/11071652*c_1001_1^3 - 124740795/44286608*c_1001_1^2 - 44965435/44286608*c_1001_1 - 13669513/44286608, c_0101_3 + 7264106/8303739*c_1001_1^9 - 25463807/33214956*c_1001_1^8 + 13781347/16607478*c_1001_1^7 + 6907703/5535826*c_1001_1^6 + 16797745/33214956*c_1001_1^5 + 19762643/33214956*c_1001_1^4 + 9112271/8303739*c_1001_1^3 + 51680617/11071652*c_1001_1^2 + 77080327/33214956*c_1001_1 + 12685571/11071652, c_0110_6 + 7264106/8303739*c_1001_1^9 - 25463807/33214956*c_1001_1^8 + 13781347/16607478*c_1001_1^7 + 6907703/5535826*c_1001_1^6 + 16797745/33214956*c_1001_1^5 + 19762643/33214956*c_1001_1^4 + 9112271/8303739*c_1001_1^3 + 51680617/11071652*c_1001_1^2 + 77080327/33214956*c_1001_1 + 12685571/11071652, c_1001_1^10 - 11/8*c_1001_1^9 + 13/8*c_1001_1^8 + 1/2*c_1001_1^7 + 3/8*c_1001_1^6 + 1/4*c_1001_1^5 + 9/8*c_1001_1^4 + 35/8*c_1001_1^3 + 3/4*c_1001_1 - 5/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB