Magma V2.19-8 Tue Aug 20 2013 16:17:18 on localhost [Seed = 2968595557] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1538 geometric_solution 5.33149794 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 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 1 0 -1 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 0.307661155633 0.253504137280 3 2 4 0 0132 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.328795350377 1.905131944106 1 5 0 6 1230 0132 0132 0132 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 -1 1 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 -0.119791323244 1.270343053824 1 4 6 5 0132 1230 1230 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.172176875478 0.349648951977 5 6 3 1 2310 1023 3012 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.636976288645 0.172810164813 3 2 4 6 3201 0132 3201 2031 0 0 0 0 0 0 1 -1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.618466468681 0.581352473201 4 5 2 3 1023 1302 0132 3012 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 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.537710855119 0.396715596224 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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' : negation(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_1001_3']), 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_1001_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : negation(d['c_1001_3']), 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : negation(d['c_1001_3']), 'c_0101_6' : d['c_0011_1'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0011_1'], 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_2']), 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : negation(d['c_0101_4']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_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_1, c_0011_2, c_0101_1, c_0101_2, c_0101_4, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 371478631290253/10334803213821440*c_1001_3^9 - 550201722004701/5167401606910720*c_1001_3^8 + 174308593774771/10334803213821440*c_1001_3^7 + 453528294190379/543937011253760*c_1001_3^6 - 3762891252294473/2583700803455360*c_1001_3^5 + 1288360391468479/10334803213821440*c_1001_3^4 + 47384725061851637/10334803213821440*c_1001_3^3 - 78041659854929269/10334803213821440*c_1001_3^2 + 3290417023037909/645925200863840*c_1001_3 - 44771208443083733/10334803213821440, c_0011_0 - 1, c_0011_1 - 8933394/2387363989*c_1001_3^9 + 14650400/2387363989*c_1001_3^8 - 44892081/2387363989*c_1001_3^7 - 130996834/2387363989*c_1001_3^6 + 214893352/2387363989*c_1001_3^5 - 734583618/2387363989*c_1001_3^4 - 943553060/2387363989*c_1001_3^3 + 692372723/2387363989*c_1001_3^2 - 3563228107/2387363989*c_1001_3 + 2140938684/2387363989, c_0011_2 - 12772940/2387363989*c_1001_3^9 + 32891676/2387363989*c_1001_3^8 + 17486386/2387363989*c_1001_3^7 - 229953125/2387363989*c_1001_3^6 + 268926250/2387363989*c_1001_3^5 + 112839775/2387363989*c_1001_3^4 - 617059030/2387363989*c_1001_3^3 + 1760142552/2387363989*c_1001_3^2 - 1309322086/2387363989*c_1001_3 + 1616375531/2387363989, c_0101_1 - 16202627/2387363989*c_1001_3^9 + 29827167/2387363989*c_1001_3^8 + 4721123/2387363989*c_1001_3^7 - 301881966/2387363989*c_1001_3^6 + 325254593/2387363989*c_1001_3^5 - 216349862/2387363989*c_1001_3^4 - 2118381594/2387363989*c_1001_3^3 + 2492074952/2387363989*c_1001_3^2 - 1909744062/2387363989*c_1001_3 + 907391077/2387363989, c_0101_2 + 672/440717*c_1001_3^9 + 2011/440717*c_1001_3^8 - 9651/440717*c_1001_3^7 + 11181/440717*c_1001_3^6 + 87634/440717*c_1001_3^5 - 110180/440717*c_1001_3^4 - 20440/440717*c_1001_3^3 + 525194/440717*c_1001_3^2 - 244722/440717*c_1001_3 + 301315/440717, c_0101_4 - 29359377/2387363989*c_1001_3^9 + 62167073/2387363989*c_1001_3^8 + 39977079/2387363989*c_1001_3^7 - 659941599/2387363989*c_1001_3^6 + 583701763/2387363989*c_1001_3^5 + 616270723/2387363989*c_1001_3^4 - 3319689240/2387363989*c_1001_3^3 + 2679886797/2387363989*c_1001_3^2 - 2423121674/2387363989*c_1001_3 + 2155047748/2387363989, c_1001_3^10 - 2*c_1001_3^9 - c_1001_3^8 + 21*c_1001_3^7 - 20*c_1001_3^6 - 5*c_1001_3^5 + 105*c_1001_3^4 - 105*c_1001_3^3 + 112*c_1001_3^2 - 105*c_1001_3 - 32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB