Magma V2.19-8 Tue Aug 20 2013 16:16:24 on localhost [Seed = 2547387256] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0677 geometric_solution 4.64798189 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.682807115661 0.218277484554 0 3 0 3 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.738899212487 0.122446046709 4 0 5 0 0132 0132 0132 1023 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 1 0 -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 0.815951265991 0.983350601839 4 1 4 1 3012 0132 0321 1023 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.682807115661 0.218277484554 2 5 3 3 0132 3012 0321 1230 0 0 0 0 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 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.183891995023 0.982513163988 4 6 6 2 1230 0132 1023 0132 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 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 0.058924934658 0.755390161829 6 5 5 6 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.115803378098 0.589625645114 ==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' : negation(d['1']), 's_2_1' : negation(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_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_0_6' : 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_6' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0110_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : negation(d['c_0011_5']), 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_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_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0110_3'], 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0110_3'], 'c_1010_0' : negation(d['c_0101_3'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_5, c_0101_0, c_0101_1, c_0101_3, c_0101_6, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 286651/1792*c_0110_3^12 + 2380345/1792*c_0110_3^11 + 3375737/896*c_0110_3^10 + 13297843/1792*c_0110_3^9 + 31734889/1792*c_0110_3^8 + 27162367/1792*c_0110_3^7 + 624511/128*c_0110_3^6 + 25072241/896*c_0110_3^5 - 83191847/1792*c_0110_3^4 + 29993825/896*c_0110_3^3 - 1930687/112*c_0110_3^2 + 9620489/1792*c_0110_3 - 1214809/1792, c_0011_0 - 1, c_0011_5 + 19683/256*c_0110_3^12 + 164025/256*c_0110_3^11 + 234009/128*c_0110_3^10 + 923643/256*c_0110_3^9 + 2197449/256*c_0110_3^8 + 1913463/256*c_0110_3^7 + 309069/128*c_0110_3^6 + 1717029/128*c_0110_3^5 - 5606583/256*c_0110_3^4 + 1949129/128*c_0110_3^3 - 59041/8*c_0110_3^2 + 531441/256*c_0110_3 - 59049/256, c_0101_0 - 4867/64*c_0110_3^12 - 10171/16*c_0110_3^11 - 29207/16*c_0110_3^10 - 231851/64*c_0110_3^9 - 137685/16*c_0110_3^8 - 490313/64*c_0110_3^7 - 172391/64*c_0110_3^6 - 861315/64*c_0110_3^5 + 679693/32*c_0110_3^4 - 469821/32*c_0110_3^3 + 226531/32*c_0110_3^2 - 125695/64*c_0110_3 + 6895/32, c_0101_1 + c_0110_3, c_0101_3 + 8923/128*c_0110_3^12 + 74503/128*c_0110_3^11 + 106723/64*c_0110_3^10 + 422787/128*c_0110_3^9 + 1004951/128*c_0110_3^8 + 887827/128*c_0110_3^7 + 76033/32*c_0110_3^6 + 393159/32*c_0110_3^5 - 2509269/128*c_0110_3^4 + 870721/64*c_0110_3^3 - 210319/32*c_0110_3^2 + 234853/128*c_0110_3 - 25995/128, c_0101_6 - 9477/128*c_0110_3^12 - 79461/128*c_0110_3^11 - 114777/64*c_0110_3^10 - 457677/128*c_0110_3^9 - 1085157/128*c_0110_3^8 - 984597/128*c_0110_3^7 - 22873/8*c_0110_3^6 - 211435/16*c_0110_3^5 + 2602007/128*c_0110_3^4 - 885479/64*c_0110_3^3 + 212171/32*c_0110_3^2 - 229507/128*c_0110_3 + 24057/128, c_0110_3^13 + 8*c_0110_3^12 + 21*c_0110_3^11 + 39*c_0110_3^10 + 96*c_0110_3^9 + 60*c_0110_3^8 - c_0110_3^7 + 164*c_0110_3^6 - 343*c_0110_3^5 + 293*c_0110_3^4 - 162*c_0110_3^3 + 59*c_0110_3^2 - 12*c_0110_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB