Magma V2.19-8 Tue Aug 20 2013 16:14:54 on localhost [Seed = 2850567618] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s878 geometric_solution 5.56971544 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 4 0132 0132 0132 0132 0 0 0 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 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 0.427934155895 0.335036406983 0 2 4 4 0132 2310 1302 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.234539386832 0.842808161478 5 0 5 1 0132 0132 2310 3201 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 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 0.268301966968 1.527506681632 5 4 5 0 2103 2310 1230 0132 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 0 0 0 0 0 1 -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 0.734693333604 0.837501419913 1 1 0 3 2031 2310 0132 3201 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 -1 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 0.578773208640 0.980768315942 2 2 3 3 0132 3201 2103 3012 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 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 0.039400395561 0.873538851746 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(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_0101_0']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_4']), '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' : d['c_0011_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : d['c_0110_4'], 'c_1001_0' : negation(d['c_0110_4']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0110_4'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0110_4']), 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : d['c_0101_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=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_3, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 130021567/37662880*c_0110_4^7 + 337013877/37662880*c_0110_4^6 - 5717181703/37662880*c_0110_4^5 + 684249219/4707860*c_0110_4^4 + 11830923297/37662880*c_0110_4^3 - 2049873847/9415720*c_0110_4^2 - 79857821/235393*c_0110_4 + 681124721/4707860, c_0011_0 - 1, c_0011_3 - 197279/1883144*c_0110_4^7 + 512287/1883144*c_0110_4^6 - 8660005/1883144*c_0110_4^5 + 4162673/941572*c_0110_4^4 + 18571273/1883144*c_0110_4^3 - 6121513/941572*c_0110_4^2 - 2700849/235393*c_0110_4 + 956511/235393, c_0011_4 - 1351/941572*c_0110_4^7 - 16727/1883144*c_0110_4^6 - 56045/1883144*c_0110_4^5 - 952775/1883144*c_0110_4^4 + 328071/470786*c_0110_4^3 + 1238563/1883144*c_0110_4^2 - 608643/941572*c_0110_4 - 76391/470786, c_0101_0 - 166145/941572*c_0110_4^7 + 221487/470786*c_0110_4^6 - 3660207/470786*c_0110_4^5 + 7499271/941572*c_0110_4^4 + 15358723/941572*c_0110_4^3 - 11953201/941572*c_0110_4^2 - 4183809/235393*c_0110_4 + 1918752/235393, c_0101_3 - 419391/1883144*c_0110_4^7 + 1090119/1883144*c_0110_4^6 - 18434905/1883144*c_0110_4^5 + 8880163/941572*c_0110_4^4 + 38651309/1883144*c_0110_4^3 - 13690565/941572*c_0110_4^2 - 10463041/470786*c_0110_4 + 2153819/235393, c_0110_4^8 - 3*c_0110_4^7 + 45*c_0110_4^6 - 60*c_0110_4^5 - 75*c_0110_4^4 + 100*c_0110_4^3 + 76*c_0110_4^2 - 80*c_0110_4 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB