Magma V2.19-8 Tue Jan 14 2014 03:01:48 on localhost [Seed = 1069122486] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s955 geometric_solution 6.08964964 oriented_manifold CS_unknown 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 4 0132 0132 0132 0132 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 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 0.500000000000 0.866025403784 0 5 1 1 0132 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.500000000000 0.866025403784 2 0 2 5 2031 0132 1302 2310 0 0 0 0 0 1 -1 0 1 0 -1 0 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.866025403784 3 3 5 0 1302 2031 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0.500000000000 0.866025403784 5 4 0 4 2310 1302 0132 2031 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 0 -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 0 0 0 0 0 0 0.500000000000 0.866025403784 2 1 4 3 3201 0132 3201 0132 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 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 0.500000000000 0.866025403784 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : 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_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_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_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_5'])})} PY=EVAL=SECTION=ENDS=HERE DECOMPOSITION=TYPE: Primary Decomposition of Radical IDEAL=DECOMPOSITION=TIME: 0.110 IDEAL=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t + 143565/48236*c_0101_5^26 - 823716/12059*c_0101_5^24 + 16770679/24118*c_0101_5^22 - 200626005/48236*c_0101_5^20 + 196744769/12059*c_0101_5^18 - 1069068633/24118*c_0101_5^16 + 2069374719/24118*c_0101_5^14 - 5774812185/48236*c_0101_5^12 + 2900524351/24118*c_0101_5^10 - 1035385454/12059*c_0101_5^8 + 512394762/12059*c_0101_5^6 - 674403695/48236*c_0101_5^4 + 134457327/48236*c_0101_5^2 - 5553197/24118, c_0011_0 - 1, c_0011_3 + c_0101_5^2 - 1, c_0011_4 - 28775/24118*c_0101_5^26 + 306897/12059*c_0101_5^24 - 2875972/12059*c_0101_5^22 + 31382025/24118*c_0101_5^20 - 55669733/12059*c_0101_5^18 + 135766745/12059*c_0101_5^16 - 234301736/12059*c_0101_5^14 + 579147869/24118*c_0101_5^12 - 256069886/12059*c_0101_5^10 + 160132177/12059*c_0101_5^8 - 69237266/12059*c_0101_5^6 + 39633581/24118*c_0101_5^4 - 6581131/24118*c_0101_5^2 + 206749/12059, c_0101_0 - 16725/48236*c_0101_5^27 + 175859/24118*c_0101_5^25 - 1617939/24118*c_0101_5^23 + 17237657/48236*c_0101_5^21 - 29639491/24118*c_0101_5^19 + 69380503/24118*c_0101_5^17 - 113385903/24118*c_0101_5^15 + 260373437/48236*c_0101_5^13 - 51992868/12059*c_0101_5^11 + 28128938/12059*c_0101_5^9 - 9778676/12059*c_0101_5^7 + 7507227/48236*c_0101_5^5 - 117165/48236*c_0101_5^3 - 44647/12059*c_0101_5, c_0101_1 - 47143/24118*c_0101_5^26 + 16301/389*c_0101_5^24 - 4760049/12059*c_0101_5^22 + 52201665/24118*c_0101_5^20 - 93023368/12059*c_0101_5^18 + 227731567/12059*c_0101_5^16 - 394222167/12059*c_0101_5^14 + 977057199/24118*c_0101_5^12 - 433272044/12059*c_0101_5^10 + 272005449/12059*c_0101_5^8 - 118178644/12059*c_0101_5^6 + 67934567/24118*c_0101_5^4 - 11352487/24118*c_0101_5^2 + 361871/12059, c_0101_5^28 - 22*c_0101_5^26 + 214*c_0101_5^24 - 1221*c_0101_5^22 + 4570*c_0101_5^20 - 11882*c_0101_5^18 + 22150*c_0101_5^16 - 30085*c_0101_5^14 + 29924*c_0101_5^12 - 21716*c_0101_5^10 + 11360*c_0101_5^8 - 4179*c_0101_5^6 + 1021*c_0101_5^4 - 144*c_0101_5^2 + 8 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE CPUTIME: 0.110 Total time: 0.380 seconds, Total memory usage: 32.09MB