Magma V2.19-8 Tue Aug 20 2013 16:17:23 on localhost [Seed = 3069651579] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1610 geometric_solution 5.36888218 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 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 -1 0 0 1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.461168355135 1.022275977600 3 3 4 0 0132 2310 0132 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 -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 -0.000037561535 0.673073163375 5 5 0 4 0132 2310 0132 2310 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 0 0 0 0 0 0 0 1 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 -0.000037561535 0.673073163375 1 5 5 1 0132 1230 3012 3201 0 0 0 0 0 -1 0 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 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 -0.437153304584 0.792678515261 2 6 6 1 3201 0132 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.964622881239 0.731543883074 2 3 3 2 0132 1230 3012 3201 0 0 0 0 0 0 0 0 0 0 1 -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 0 0 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 -0.437153304584 0.792678515261 6 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.688046286742 0.362711517991 ==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' : 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_4']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_1'], '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_4'], 'c_0011_6' : negation(d['c_0011_4']), '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' : d['c_0011_1'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_1']), '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_0011_4, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 3325337642840051/24482470454431*c_0101_6^13 + 4713775100282484/24482470454431*c_0101_6^12 + 94334240180327236/24482470454431*c_0101_6^11 - 170234914113286780/24482470454431*c_0101_6^10 + 473564513871251218/24482470454431*c_0101_6^9 - 542997358443140864/24482470454431*c_0101_6^8 - 594500518988027013/24482470454431*c_0101_6^7 + 588163356144320727/24482470454431*c_0101_6^6 + 351361600521411668/24482470454431*c_0101_6^5 - 164523195811098370/24482470454431*c_0101_6^4 - 45780607694215/13284031717*c_0101_6^3 + 34195933540255037/24482470454431*c_0101_6^2 + 6696535424693053/24482470454431*c_0101_6 - 2243364650804011/24482470454431, c_0011_0 - 1, c_0011_1 + 2863958280490/2225679132221*c_0101_6^13 + 4895732997640/2225679132221*c_0101_6^12 + 82105553098567/2225679132221*c_0101_6^11 - 123346186841417/2225679132221*c_0101_6^10 + 355719469901163/2225679132221*c_0101_6^9 - 331744929048828/2225679132221*c_0101_6^8 - 699604977338666/2225679132221*c_0101_6^7 + 419226447026354/2225679132221*c_0101_6^6 + 485618706476290/2225679132221*c_0101_6^5 - 89733582696379/2225679132221*c_0101_6^4 - 67720773407/1207639247*c_0101_6^3 + 8651019875884/2225679132221*c_0101_6^2 + 11844817665242/2225679132221*c_0101_6 - 2591231702175/2225679132221, c_0011_2 + 2863958280490/2225679132221*c_0101_6^13 + 4895732997640/2225679132221*c_0101_6^12 + 82105553098567/2225679132221*c_0101_6^11 - 123346186841417/2225679132221*c_0101_6^10 + 355719469901163/2225679132221*c_0101_6^9 - 331744929048828/2225679132221*c_0101_6^8 - 699604977338666/2225679132221*c_0101_6^7 + 419226447026354/2225679132221*c_0101_6^6 + 485618706476290/2225679132221*c_0101_6^5 - 89733582696379/2225679132221*c_0101_6^4 - 67720773407/1207639247*c_0101_6^3 + 8651019875884/2225679132221*c_0101_6^2 + 11844817665242/2225679132221*c_0101_6 - 2591231702175/2225679132221, c_0011_4 + 725537754482/2225679132221*c_0101_6^13 + 1283661873277/2225679132221*c_0101_6^12 + 20820860345082/2225679132221*c_0101_6^11 - 30002269256650/2225679132221*c_0101_6^10 + 86848120981956/2225679132221*c_0101_6^9 - 73644042096877/2225679132221*c_0101_6^8 - 193376797121217/2225679132221*c_0101_6^7 + 117092615025858/2225679132221*c_0101_6^6 + 125688669173945/2225679132221*c_0101_6^5 - 30523817067131/2225679132221*c_0101_6^4 - 17259759988/1207639247*c_0101_6^3 - 3031390015283/2225679132221*c_0101_6^2 + 3157822752452/2225679132221*c_0101_6 + 1327715369020/2225679132221, c_0101_1 - 1064119811409/2225679132221*c_0101_6^13 - 3346184521109/2225679132221*c_0101_6^12 - 32946610705707/2225679132221*c_0101_6^11 + 2022376641856/2225679132221*c_0101_6^10 - 62026127340933/2225679132221*c_0101_6^9 - 82975246896087/2225679132221*c_0101_6^8 + 472152339004807/2225679132221*c_0101_6^7 + 153650289927751/2225679132221*c_0101_6^6 - 401815019886948/2225679132221*c_0101_6^5 - 140781586356379/2225679132221*c_0101_6^4 + 45863427924/1207639247*c_0101_6^3 + 29383211566800/2225679132221*c_0101_6^2 - 9245402015329/2225679132221*c_0101_6 - 1184668838033/2225679132221, c_0101_4 + 222722947228/2225679132221*c_0101_6^13 + 222202011024/2225679132221*c_0101_6^12 + 5748552759456/2225679132221*c_0101_6^11 - 14663868352988/2225679132221*c_0101_6^10 + 24057579631785/2225679132221*c_0101_6^9 - 27063918323197/2225679132221*c_0101_6^8 - 89019901769513/2225679132221*c_0101_6^7 + 133019700589920/2225679132221*c_0101_6^6 + 74082939306406/2225679132221*c_0101_6^5 - 87115459695753/2225679132221*c_0101_6^4 - 18703055400/1207639247*c_0101_6^3 + 7228865249257/2225679132221*c_0101_6^2 + 4837112194909/2225679132221*c_0101_6 - 568588005729/2225679132221, c_0101_6^14 + 2*c_0101_6^13 + 29*c_0101_6^12 - 35*c_0101_6^11 + 107*c_0101_6^10 - 72*c_0101_6^9 - 299*c_0101_6^8 + 97*c_0101_6^7 + 251*c_0101_6^6 - 11*c_0101_6^5 - 82*c_0101_6^4 - 2*c_0101_6^3 + 14*c_0101_6^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB