Magma V2.19-8 Tue Aug 20 2013 16:16:17 on localhost [Seed = 1595851709] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0550 geometric_solution 4.57366511 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 1023 1023 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 0 1 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 0.854901356059 0.135530954537 0 3 0 3 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 1 -1 -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 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 0.891633655069 0.328471856890 2 0 2 0 2310 0132 3201 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 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 0.871514698526 0.081443842185 4 1 5 1 0132 0132 0132 1023 0 0 0 0 0 0 -1 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 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 1.517769353412 0.421034231130 3 5 5 6 0132 0213 2310 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.365815497284 0.620625957193 6 4 4 3 0132 3201 0213 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 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 0.365815497284 0.620625957193 5 6 4 6 0132 1302 0132 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 0.106128791293 2.090198389236 ==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' : negation(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' : d['c_0011_5'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), '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' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0011_0']), 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : negation(d['c_0101_2'])})} 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_5, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 3107275202171053/190871225829004*c_0101_4^19 - 14276432341734195/190871225829004*c_0101_4^18 + 5430809680065411/95435612914502*c_0101_4^17 + 26059452720587683/95435612914502*c_0101_4^16 - 139722345258915635/190871225829004*c_0101_4^15 + 114398107713747681/190871225829004*c_0101_4^14 + 30843823895775501/95435612914502*c_0101_4^13 - 108748403564367865/95435612914502*c_0101_4^12 + 180433200883673797/190871225829004*c_0101_4^11 - 16787962613995120/47717806457251*c_0101_4^10 + 12944927365667064/47717806457251*c_0101_4^9 - 23623276160193378/47717806457251*c_0101_4^8 + 11864517207169103/47717806457251*c_0101_4^7 + 48882745949535979/95435612914502*c_0101_4^6 - 18545352055451442/47717806457251*c_0101_4^5 + 45609898552386473/190871225829004*c_0101_4^4 - 37905954385750443/95435612914502*c_0101_4^3 - 730570638336715/5613859583206*c_0101_4^2 + 34889544222255713/190871225829004*c_0101_4 + 7560111255554237/190871225829004, c_0011_0 - 1, c_0011_5 + 822079920157/2806929791603*c_0101_4^19 - 2705829826953/2806929791603*c_0101_4^18 - 1036129486594/2806929791603*c_0101_4^17 + 13750468965262/2806929791603*c_0101_4^16 - 18554526469271/2806929791603*c_0101_4^15 - 1199093956434/2806929791603*c_0101_4^14 + 25052753442359/2806929791603*c_0101_4^13 - 23057472696340/2806929791603*c_0101_4^12 - 2036411995736/2806929791603*c_0101_4^11 + 703205761771/2806929791603*c_0101_4^10 + 13449093268424/2806929791603*c_0101_4^9 - 17849055253410/2806929791603*c_0101_4^8 - 4523950710924/2806929791603*c_0101_4^7 + 19959229793133/2806929791603*c_0101_4^6 + 15130311593044/2806929791603*c_0101_4^5 + 12891680724418/2806929791603*c_0101_4^4 - 3706492308124/2806929791603*c_0101_4^3 - 14258325274146/2806929791603*c_0101_4^2 - 9285801492444/2806929791603*c_0101_4 + 30499037313/2806929791603, c_0101_0 - 239590066482/2806929791603*c_0101_4^19 + 847620420202/2806929791603*c_0101_4^18 - 10840110970/2806929791603*c_0101_4^17 - 3532198229038/2806929791603*c_0101_4^16 + 5846313630639/2806929791603*c_0101_4^15 - 2520949806702/2806929791603*c_0101_4^14 - 2073750609907/2806929791603*c_0101_4^13 + 2113222536993/2806929791603*c_0101_4^12 + 273377997036/2806929791603*c_0101_4^11 + 6169248145397/2806929791603*c_0101_4^10 - 13212390278380/2806929791603*c_0101_4^9 + 13325104542486/2806929791603*c_0101_4^8 - 5111696621595/2806929791603*c_0101_4^7 + 103561320853/2806929791603*c_0101_4^6 - 7993190309725/2806929791603*c_0101_4^5 - 4266974230187/2806929791603*c_0101_4^4 + 4245605596804/2806929791603*c_0101_4^3 - 1944805610686/2806929791603*c_0101_4^2 + 4383821008815/2806929791603*c_0101_4 - 852578957470/2806929791603, c_0101_1 - 2788819416573/2806929791603*c_0101_4^19 + 10837598657234/2806929791603*c_0101_4^18 - 1235243745357/2806929791603*c_0101_4^17 - 52071215412278/2806929791603*c_0101_4^16 + 94062851323558/2806929791603*c_0101_4^15 - 24152263841814/2806929791603*c_0101_4^14 - 118776434468196/2806929791603*c_0101_4^13 + 166642744845019/2806929791603*c_0101_4^12 - 51056726514219/2806929791603*c_0101_4^11 - 37181377013254/2806929791603*c_0101_4^10 + 6865198105320/2806929791603*c_0101_4^9 + 38203957629590/2806929791603*c_0101_4^8 + 22569304050005/2806929791603*c_0101_4^7 - 120014495235795/2806929791603*c_0101_4^6 + 19655081529717/2806929791603*c_0101_4^5 - 14078025111886/2806929791603*c_0101_4^4 + 28150417454120/2806929791603*c_0101_4^3 + 60826154750387/2806929791603*c_0101_4^2 - 20055476875589/2806929791603*c_0101_4 - 12702889867581/2806929791603, c_0101_2 + 8203953415765/2806929791603*c_0101_4^19 - 38536235641433/2806929791603*c_0101_4^18 + 31641149445813/2806929791603*c_0101_4^17 + 137816309129175/2806929791603*c_0101_4^16 - 382320525146360/2806929791603*c_0101_4^15 + 323914297723358/2806929791603*c_0101_4^14 + 155951072034977/2806929791603*c_0101_4^13 - 592003032576134/2806929791603*c_0101_4^12 + 501345964165156/2806929791603*c_0101_4^11 - 187067698139809/2806929791603*c_0101_4^10 + 148150816446202/2806929791603*c_0101_4^9 - 269687378882181/2806929791603*c_0101_4^8 + 148230779910845/2806929791603*c_0101_4^7 + 255599097484925/2806929791603*c_0101_4^6 - 211262403481746/2806929791603*c_0101_4^5 + 108107574365114/2806929791603*c_0101_4^4 - 215916067597502/2806929791603*c_0101_4^3 - 58287229702698/2806929791603*c_0101_4^2 + 101344171673159/2806929791603*c_0101_4 + 28253004970667/2806929791603, c_0101_3 + 30499037313/2806929791603*c_0101_4^19 - 944076069409/2806929791603*c_0101_4^18 + 2736328864266/2806929791603*c_0101_4^17 + 1585112158228/2806929791603*c_0101_4^16 - 14817935271217/2806929791603*c_0101_4^15 + 18981512991653/2806929791603*c_0101_4^14 + 2266560262389/2806929791603*c_0101_4^13 - 26760699531887/2806929791603*c_0101_4^12 + 23758950554539/2806929791603*c_0101_4^11 + 2127909107675/2806929791603*c_0101_4^10 - 459213463267/2806929791603*c_0101_4^9 - 14120072089310/2806929791603*c_0101_4^8 + 17849055253410/2806929791603*c_0101_4^7 + 5621916054192/2806929791603*c_0101_4^6 - 20142224017011/2806929791603*c_0101_4^5 - 14916818331853/2806929791603*c_0101_4^4 - 13349166284113/2806929791603*c_0101_4^3 + 3157509636490/2806929791603*c_0101_4^2 + 14410820460711/2806929791603*c_0101_4 + 6661865924719/2806929791603, c_0101_4^20 - 4*c_0101_4^19 + c_0101_4^18 + 18*c_0101_4^17 - 35*c_0101_4^16 + 14*c_0101_4^15 + 35*c_0101_4^14 - 56*c_0101_4^13 + 23*c_0101_4^12 + 3*c_0101_4^11 + 8*c_0101_4^10 - 22*c_0101_4^9 + 36*c_0101_4^7 - 6*c_0101_4^6 + 7*c_0101_4^5 - 15*c_0101_4^4 - 18*c_0101_4^3 + 5*c_0101_4^2 + 6*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB