Magma V2.19-8 Tue Aug 20 2013 16:15:56 on localhost [Seed = 2766485656] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0170 geometric_solution 3.94900783 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 3201 2310 3201 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.669969123104 0.062726923272 0 0 2 2 0132 2310 2310 0132 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.170130360540 0.409957465451 3 1 1 3 0132 3201 0132 1023 0 0 0 0 0 1 0 -1 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 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 1.324079141991 0.958497917538 2 4 5 2 0132 0132 0132 1023 0 0 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 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 0.152581073642 0.181710726623 5 3 5 6 2310 0132 3201 0132 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 -1 1 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 0.037229900226 1.734547699069 4 6 4 3 2310 0132 3201 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 0 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 0.037229900226 1.734547699069 6 5 4 6 3012 0132 0132 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 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 0.475190108777 0.287281864155 ==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' : 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' : negation(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' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_3'], '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_0101_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_2'], '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' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_1001_3'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_1001_3'], '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_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_1001_3'], 'c_1010_4' : d['c_1001_3'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_5, c_0101_0, c_0101_1, c_0101_3, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 11536352560801150128455/1921174202125452693616*c_1001_3^9 - 136204256667224909171325/3842348404250905387232*c_1001_3^8 - 3802128496959691348467253/7684696808501810774464*c_1001_3^7 - 152777744560151268756891/101114431690813299664*c_1001_3^6 - 5398686766880421413110533/3842348404250905387232*c_1001_3^5 + 6637751259117752887784905/3842348404250905387232*c_1001_3^4 + 29924394565462023685117285/7684696808501810774464*c_1001_3^3 - 50162917401798029853359/7684696808501810774464*c_1001_3^2 - 7961652218364321655817511/7684696808501810774464*c_1001_3 + 5645686189461654499354189/7684696808501810774464, c_0011_0 - 1, c_0011_2 - 20877892103813540/6319651980675831229*c_1001_3^9 + 156678479642654746/6319651980675831229*c_1001_3^8 + 1486832570916445637/6319651980675831229*c_1001_3^7 + 2781950292264074533/6319651980675831229*c_1001_3^6 - 1082043063078057070/6319651980675831229*c_1001_3^5 - 9636515315828890745/6319651980675831229*c_1001_3^4 - 6652593470266650579/6319651980675831229*c_1001_3^3 + 6290321956079748503/6319651980675831229*c_1001_3^2 - 42695430920233184/6319651980675831229*c_1001_3 + 2201412401401159707/6319651980675831229, c_0011_5 - 42879998999080436/6319651980675831229*c_1001_3^9 + 283678579443939710/6319651980675831229*c_1001_3^8 + 3302453968464103171/6319651980675831229*c_1001_3^7 + 8657136800504424434/6319651980675831229*c_1001_3^6 + 5794476331275942729/6319651980675831229*c_1001_3^5 - 12663774552099032530/6319651980675831229*c_1001_3^4 - 16928752766032810260/6319651980675831229*c_1001_3^3 + 6826282937842600255/6319651980675831229*c_1001_3^2 - 2201860530933952325/6319651980675831229*c_1001_3 - 2543368628943664669/6319651980675831229, c_0101_0 - 19389261350093556/6319651980675831229*c_1001_3^9 + 80773373667525322/6319651980675831229*c_1001_3^8 + 1845259976696530997/6319651980675831229*c_1001_3^7 + 7256665746230772651/6319651980675831229*c_1001_3^6 + 9876465951313759226/6319651980675831229*c_1001_3^5 - 2915304488262522138/6319651980675831229*c_1001_3^4 - 21921302376849152175/6319651980675831229*c_1001_3^3 - 7895853844614041776/6319651980675831229*c_1001_3^2 + 9471149906536499058/6319651980675831229*c_1001_3 - 552593540989438279/6319651980675831229, c_0101_1 + 37850267757720868/6319651980675831229*c_1001_3^9 - 218053080939443926/6319651980675831229*c_1001_3^8 - 3128259417692198671/6319651980675831229*c_1001_3^7 - 10194688382453385802/6319651980675831229*c_1001_3^6 - 11251091379922814163/6319651980675831229*c_1001_3^5 + 10093934060612557513/6319651980675831229*c_1001_3^4 + 31011611382297404144/6319651980675831229*c_1001_3^3 + 9785603595791685776/6319651980675831229*c_1001_3^2 - 14039494609896172717/6319651980675831229*c_1001_3 + 985485272246627744/6319651980675831229, c_0101_3 - 49142202574324124/6319651980675831229*c_1001_3^9 + 315226998123945170/6319651980675831229*c_1001_3^8 + 3844841245563650373/6319651980675831229*c_1001_3^7 + 10713759647218272292/6319651980675831229*c_1001_3^6 + 9102044313808728987/6319651980675831229*c_1001_3^5 - 12165144319821566886/6319651980675831229*c_1001_3^4 - 23418786413293364723/6319651980675831229*c_1001_3^3 + 222418423820807632/6319651980675831229*c_1001_3^2 + 1530347904044727293/6319651980675831229*c_1001_3 - 1305399797751998391/6319651980675831229, c_1001_3^10 - 11/2*c_1001_3^9 - 339/4*c_1001_3^8 - 285*c_1001_3^7 - 675/2*c_1001_3^6 + 375/2*c_1001_3^5 + 3043/4*c_1001_3^4 + 1087/4*c_1001_3^3 - 617/4*c_1001_3^2 + 195/4*c_1001_3 + 38 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB