Magma V2.19-8 Tue Aug 20 2013 16:17:05 on localhost [Seed = 3153733480] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1327 geometric_solution 5.21032042 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 3201 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.906414865115 4.909893422571 0 1 0 1 0132 1302 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.411009966572 0.243476198667 0 3 4 0 3201 0132 0132 0132 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.015027554637 0.282371245984 4 2 4 5 2310 0132 2103 0132 0 0 0 0 0 -1 0 1 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 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 0.544842066256 1.302461813650 3 6 3 2 2103 0132 3201 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544842066256 1.302461813650 6 6 3 6 3012 0213 0132 2310 0 0 1 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 0 1 -1 0 0 0 0 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.726657756110 0.653433089649 5 4 5 5 3201 0132 0213 1230 0 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 1 0 -1 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.726657756110 0.653433089649 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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_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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_1001_2'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : d['c_1001_2'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_5']), 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0011_5'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0011_5']), 'c_1010_4' : d['c_1001_2'], 'c_1010_3' : d['c_1001_2'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_2, c_0011_4, c_0011_5, c_0101_0, c_0101_3, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 589961748179/7796710593728*c_1001_2^8 + 5773782391795/7796710593728*c_1001_2^7 + 6386092348039/1949177648432*c_1001_2^6 + 52687207915017/7796710593728*c_1001_2^5 + 2478250143763/3898355296864*c_1001_2^4 - 115628067710927/7796710593728*c_1001_2^3 + 9955369844191/487294412108*c_1001_2^2 + 47477761154637/1113815799104*c_1001_2 + 33171703645483/7796710593728, c_0011_0 - 1, c_0011_2 + 158342441/69613487444*c_1001_2^8 + 700734647/34806743722*c_1001_2^7 + 2877707321/34806743722*c_1001_2^6 + 10453111599/69613487444*c_1001_2^5 - 2294143095/69613487444*c_1001_2^4 - 12725450681/34806743722*c_1001_2^3 + 9769471864/17403371861*c_1001_2^2 + 19749842397/69613487444*c_1001_2 + 8538770535/17403371861, c_0011_4 - 22780326/17403371861*c_1001_2^8 - 874214659/69613487444*c_1001_2^7 - 3658796255/69613487444*c_1001_2^6 - 6667952745/69613487444*c_1001_2^5 + 1274317617/34806743722*c_1001_2^4 + 16539713483/69613487444*c_1001_2^3 - 35020825683/69613487444*c_1001_2^2 - 5227761279/69613487444*c_1001_2 + 6089885185/17403371861, c_0011_5 - 1, c_0101_0 - 77647423/69613487444*c_1001_2^8 - 230954089/34806743722*c_1001_2^7 - 186097755/17403371861*c_1001_2^6 + 3871134915/69613487444*c_1001_2^5 + 18908121627/69613487444*c_1001_2^4 + 2385773375/17403371861*c_1001_2^3 - 14601358682/17403371861*c_1001_2^2 + 51004488531/69613487444*c_1001_2 + 10624162112/17403371861, c_0101_3 + 22780326/17403371861*c_1001_2^8 + 874214659/69613487444*c_1001_2^7 + 3658796255/69613487444*c_1001_2^6 + 6667952745/69613487444*c_1001_2^5 - 1274317617/34806743722*c_1001_2^4 - 16539713483/69613487444*c_1001_2^3 + 35020825683/69613487444*c_1001_2^2 + 74841248723/69613487444*c_1001_2 - 6089885185/17403371861, c_1001_2^9 + 9*c_1001_2^8 + 36*c_1001_2^7 + 59*c_1001_2^6 - 46*c_1001_2^5 - 173*c_1001_2^4 + 416*c_1001_2^3 + 273*c_1001_2^2 - 263*c_1001_2 + 112 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB