Magma V2.19-8 Tue Aug 20 2013 16:14:06 on localhost [Seed = 4206585541] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s049 geometric_solution 3.59008996 oriented_manifold CS_known 0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 1 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 -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 -2.741812064467 1.857109201277 0 4 2 3 0132 1302 0132 2031 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 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 0.918552657788 0.648603701052 4 0 4 1 1302 0132 3201 0132 0 0 0 0 0 1 0 -1 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 1 -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 0 0 0 0.005044778211 0.518191382109 5 1 5 0 0132 1302 2310 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 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 0.384681549681 0.225233138876 2 2 0 1 2310 2031 0132 2031 0 0 0 0 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 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 0.981214595708 1.929606061244 3 3 5 5 0132 3201 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.454948357530 0.060084520136 ==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' : negation(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' : negation(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' : negation(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_5' : d['c_0101_3'], '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' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), '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_3']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0101_0']), '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' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 59894830187647/2347280156688*c_0101_3^11 - 2948955119515/391213359448*c_0101_3^10 - 117750658563003/782426718896*c_0101_3^9 - 354892573645573/2347280156688*c_0101_3^8 - 291634576864457/1173640078344*c_0101_3^7 - 102015001833841/586820039172*c_0101_3^6 - 327675965108233/1173640078344*c_0101_3^5 - 82762498709215/2347280156688*c_0101_3^4 - 179297020814431/1173640078344*c_0101_3^3 + 434069595777/391213359448*c_0101_3^2 - 9382548929827/391213359448*c_0101_3 - 2125442520895/2347280156688, c_0011_0 - 1, c_0011_3 - 66837521751/48901669931*c_0101_3^11 - 141296668730/48901669931*c_0101_3^10 - 448345658701/48901669931*c_0101_3^9 - 1025753017581/48901669931*c_0101_3^8 - 1399620925576/48901669931*c_0101_3^7 - 1226566097188/48901669931*c_0101_3^6 - 946853973540/48901669931*c_0101_3^5 - 600189573790/48901669931*c_0101_3^4 - 148621046921/48901669931*c_0101_3^3 - 83262041898/48901669931*c_0101_3^2 - 90794723363/48901669931*c_0101_3 - 10920074209/48901669931, c_0011_4 + 2969304052/48901669931*c_0101_3^11 - 52286949868/48901669931*c_0101_3^10 + 49434752564/48901669931*c_0101_3^9 - 219628583016/48901669931*c_0101_3^8 + 37045506265/48901669931*c_0101_3^7 + 122174578850/48901669931*c_0101_3^6 + 596106548733/48901669931*c_0101_3^5 + 273257869939/48901669931*c_0101_3^4 + 712317885671/48901669931*c_0101_3^3 + 79442906096/48901669931*c_0101_3^2 + 181059669695/48901669931*c_0101_3 + 2930044658/48901669931, c_0101_0 + 197166670428/48901669931*c_0101_3^11 + 263071279568/48901669931*c_0101_3^10 + 1217095490232/48901669931*c_0101_3^9 + 2261754983811/48901669931*c_0101_3^8 + 2985534182997/48901669931*c_0101_3^7 + 2634122670702/48901669931*c_0101_3^6 + 2445099461345/48901669931*c_0101_3^5 + 1087404464533/48901669931*c_0101_3^4 + 393686191535/48901669931*c_0101_3^3 + 222240885368/48901669931*c_0101_3^2 - 73205722857/48901669931*c_0101_3 + 37562939837/48901669931, c_0101_1 - 34189352925/48901669931*c_0101_3^11 - 71470406192/48901669931*c_0101_3^10 - 261031471415/48901669931*c_0101_3^9 - 578684952187/48901669931*c_0101_3^8 - 920996534792/48901669931*c_0101_3^7 - 1050837032092/48901669931*c_0101_3^6 - 1076667632332/48901669931*c_0101_3^5 - 738362600845/48901669931*c_0101_3^4 - 385010860205/48901669931*c_0101_3^3 - 82196982960/48901669931*c_0101_3^2 - 7021348035/48901669931*c_0101_3 + 48048570554/48901669931, c_0101_3^12 + 7/13*c_0101_3^11 + 81/13*c_0101_3^10 + 94/13*c_0101_3^9 + 161/13*c_0101_3^8 + 122/13*c_0101_3^7 + 162/13*c_0101_3^6 + 27/13*c_0101_3^5 + 75/13*c_0101_3^4 - 16/13*c_0101_3^3 + 12/13*c_0101_3^2 - 5/13*c_0101_3 + 1/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB