Magma V2.19-8 Tue Aug 20 2013 23:45:01 on localhost [Seed = 3852697666] Type ? for help. Type -D to quit. Loading file "K13n2163__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n2163 geometric_solution 10.82482608 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 1 -1 0 0 0 -12 12 0 0 0 0 -13 0 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.235195896574 0.787378577846 0 5 7 6 0132 0132 0132 0132 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 13 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.235195896574 0.787378577846 8 0 5 4 0132 0132 3120 0321 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 -1 1 0 -1 0 1 0 12 0 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.767556391150 0.924084804737 9 7 10 0 0132 0132 0132 0132 0 0 0 0 0 0 0 0 1 0 0 -1 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 -1 1 -13 0 1 12 0 13 0 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.346932159534 0.667082813342 9 2 0 11 1230 0321 0132 0132 0 0 0 0 0 0 0 0 -1 0 1 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 12 0 -12 0 0 12 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.008554730765 1.733628488917 8 1 2 8 1023 0132 3120 0213 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 1 0 -1 0 0 0 0 0 -12 13 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.330350985175 0.706405637642 9 8 1 10 2103 0213 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.008554730765 1.733628488917 9 3 11 1 3201 0132 0213 0132 0 0 0 0 0 0 0 0 1 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 -12 0 12 0 0 0 0 0 13 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.346932159534 0.667082813342 2 5 6 5 0132 1023 0213 0213 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 -1 1 0 1 0 -1 0 0 0 0 0 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.059526166311 1.173129234298 3 4 6 7 0132 3012 2103 2310 0 0 0 0 0 0 0 0 -1 0 0 1 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 13 0 0 -13 0 -12 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.392625907260 0.646670428472 11 6 11 3 0213 0321 0132 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 -1 0 1 0 0 1 -1 -1 1 0 0 12 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.346932159534 0.667082813342 10 7 4 10 0213 0213 0132 0132 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 1 0 0 -1 0 -12 0 12 -12 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.386353299702 1.179922806182 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0101_5'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : negation(d['c_0101_5']), 'c_1001_9' : negation(d['c_0011_4']), 'c_1001_8' : d['c_0101_5'], 'c_1010_11' : d['c_1001_10'], 'c_1010_10' : d['c_1001_1'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : d['c_0011_11'], '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_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_9' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1001_10'], 'c_1100_6' : d['c_1001_10'], 'c_1100_1' : d['c_1001_10'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_5']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : negation(d['c_0101_5']), 'c_1010_9' : negation(d['c_0101_1']), 'c_1010_8' : negation(d['c_0101_2']), 'c_1100_8' : d['c_1001_1'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_11'], 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_11'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_11']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_4']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_10'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_1001_0, c_1001_1, c_1001_10, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 93320066278674355/71852212693651*c_1100_0^14 + 189815976905372633/71852212693651*c_1100_0^13 - 26553963164744305/16581279852381*c_1100_0^12 - 778396540240941126/71852212693651*c_1100_0^11 + 1515935798684691320/71852212693651*c_1100_0^10 - 112312188709286933/71852212693651*c_1100_0^9 + 4011417332263144881/71852212693651*c_1100_0^8 - 241477976760499501/71852212693651*c_1100_0^7 + 6985126964864970937/215556638080953*c_1100_0^6 - 5042559871053360070/215556638080953*c_1100_0^5 + 821448453633584843/215556638080953*c_1100_0^4 - 2970974701831393516/215556638080953*c_1100_0^3 - 497672546452418704/215556638080953*c_1100_0^2 - 21763260136552474/11345086214787*c_1100_0 - 46790539617273664/71852212693651, c_0011_0 - 1, c_0011_10 - 283064716146/3781695404929*c_1100_0^14 - 4147271035548/3781695404929*c_1100_0^13 + 716367727328/290899646533*c_1100_0^12 - 7401784871032/3781695404929*c_1100_0^11 - 36323121747383/3781695404929*c_1100_0^10 + 77085741472008/3781695404929*c_1100_0^9 + 14218972347804/3781695404929*c_1100_0^8 + 189213188782723/3781695404929*c_1100_0^7 - 13845973173736/3781695404929*c_1100_0^6 + 82351985366221/3781695404929*c_1100_0^5 - 94041305377644/3781695404929*c_1100_0^4 + 3266694707847/3781695404929*c_1100_0^3 - 43313773523836/3781695404929*c_1100_0^2 - 3398506441860/3781695404929*c_1100_0 - 3246251123428/3781695404929, c_0011_11 - 975388040574/3781695404929*c_1100_0^14 + 4599555532131/3781695404929*c_1100_0^13 - 481211730479/290899646533*c_1100_0^12 - 6232719390201/3781695404929*c_1100_0^11 + 39408364622800/3781695404929*c_1100_0^10 - 41803917890747/3781695404929*c_1100_0^9 + 33315453336681/3781695404929*c_1100_0^8 - 102595698944775/3781695404929*c_1100_0^7 + 23262514104148/3781695404929*c_1100_0^6 - 55473664117797/3781695404929*c_1100_0^5 + 53904984552195/3781695404929*c_1100_0^4 - 5755998451999/3781695404929*c_1100_0^3 + 19924935570783/3781695404929*c_1100_0^2 + 1439445222653/3781695404929*c_1100_0 + 1729852263617/3781695404929, c_0011_4 - 3590744893467/3781695404929*c_1100_0^14 - 4184543774532/3781695404929*c_1100_0^13 + 1471766388061/290899646533*c_1100_0^12 - 43714529269352/3781695404929*c_1100_0^11 - 38413800124469/3781695404929*c_1100_0^10 + 183503515508972/3781695404929*c_1100_0^9 + 145502397483368/3781695404929*c_1100_0^8 + 475427836013378/3781695404929*c_1100_0^7 + 40755163150544/3781695404929*c_1100_0^6 + 196459046540821/3781695404929*c_1100_0^5 - 216366338149898/3781695404929*c_1100_0^4 - 4569654038301/3781695404929*c_1100_0^3 - 127991933753603/3781695404929*c_1100_0^2 - 12320053612812/3781695404929*c_1100_0 - 14083645116516/3781695404929, c_0101_0 - 2667439826907/3781695404929*c_1100_0^14 + 9346354587624/3781695404929*c_1100_0^13 - 829478102249/290899646533*c_1100_0^12 - 18836582384292/3781695404929*c_1100_0^11 + 77363917651483/3781695404929*c_1100_0^10 - 63184016065896/3781695404929*c_1100_0^9 + 107930232071563/3781695404929*c_1100_0^8 - 169016609419301/3781695404929*c_1100_0^7 + 56823640559856/3781695404929*c_1100_0^6 - 123111207714345/3781695404929*c_1100_0^5 + 73373316195992/3781695404929*c_1100_0^4 - 23201859752298/3781695404929*c_1100_0^3 + 26623570369700/3781695404929*c_1100_0^2 + 261421683567/3781695404929*c_1100_0 + 1818359641872/3781695404929, c_0101_1 + 2667439826907/3781695404929*c_1100_0^14 - 9346354587624/3781695404929*c_1100_0^13 + 829478102249/290899646533*c_1100_0^12 + 18836582384292/3781695404929*c_1100_0^11 - 77363917651483/3781695404929*c_1100_0^10 + 63184016065896/3781695404929*c_1100_0^9 - 107930232071563/3781695404929*c_1100_0^8 + 169016609419301/3781695404929*c_1100_0^7 - 56823640559856/3781695404929*c_1100_0^6 + 123111207714345/3781695404929*c_1100_0^5 - 73373316195992/3781695404929*c_1100_0^4 + 23201859752298/3781695404929*c_1100_0^3 - 26623570369700/3781695404929*c_1100_0^2 - 261421683567/3781695404929*c_1100_0 - 1818359641872/3781695404929, c_0101_2 + 23680948875/3781695404929*c_1100_0^14 - 3594402403749/3781695404929*c_1100_0^13 + 378556972295/290899646533*c_1100_0^12 + 1431876798175/3781695404929*c_1100_0^11 - 33681221797214/3781695404929*c_1100_0^10 + 36952429988616/3781695404929*c_1100_0^9 + 41906209198923/3781695404929*c_1100_0^8 + 142964035157343/3781695404929*c_1100_0^7 + 71116439130821/3781695404929*c_1100_0^6 + 53863748165477/3781695404929*c_1100_0^5 - 42216867117253/3781695404929*c_1100_0^4 - 32947504562242/3781695404929*c_1100_0^3 - 34104668264806/3781695404929*c_1100_0^2 - 12959607053246/3781695404929*c_1100_0 - 7106270219539/3781695404929, c_0101_5 + 6199076308818/3781695404929*c_1100_0^14 - 10686809137560/3781695404929*c_1100_0^13 + 360613532110/290899646533*c_1100_0^12 + 51329723957562/3781695404929*c_1100_0^11 - 82592369472796/3781695404929*c_1100_0^10 - 15090427556656/3781695404929*c_1100_0^9 - 287135381134393/3781695404929*c_1100_0^8 - 59619149660802/3781695404929*c_1100_0^7 - 177227200107911/3781695404929*c_1100_0^6 + 102362349805174/3781695404929*c_1100_0^5 + 11454782343684/3781695404929*c_1100_0^4 + 88131760012560/3781695404929*c_1100_0^3 + 17617648131760/3781695404929*c_1100_0^2 + 13719119139935/3781695404929*c_1100_0 + 2162824419266/3781695404929, c_1001_0 + 15937829679102/3781695404929*c_1100_0^14 - 30447380594274/3781695404929*c_1100_0^13 + 1040439182738/290899646533*c_1100_0^12 + 138552531375098/3781695404929*c_1100_0^11 - 242567957144944/3781695404929*c_1100_0^10 - 31936042563471/3781695404929*c_1100_0^9 - 658032294695449/3781695404929*c_1100_0^8 - 25922670572430/3781695404929*c_1100_0^7 - 302900370297704/3781695404929*c_1100_0^6 + 276798941790262/3781695404929*c_1100_0^5 + 25635494117917/3781695404929*c_1100_0^4 + 136925504065748/3781695404929*c_1100_0^3 + 27376845086463/3781695404929*c_1100_0^2 + 9895803378736/3781695404929*c_1100_0 + 2010569100834/3781695404929, c_1001_1 - 15937829679102/3781695404929*c_1100_0^14 + 30447380594274/3781695404929*c_1100_0^13 - 1040439182738/290899646533*c_1100_0^12 - 138552531375098/3781695404929*c_1100_0^11 + 242567957144944/3781695404929*c_1100_0^10 + 31936042563471/3781695404929*c_1100_0^9 + 658032294695449/3781695404929*c_1100_0^8 + 25922670572430/3781695404929*c_1100_0^7 + 302900370297704/3781695404929*c_1100_0^6 - 276798941790262/3781695404929*c_1100_0^5 - 25635494117917/3781695404929*c_1100_0^4 - 136925504065748/3781695404929*c_1100_0^3 - 27376845086463/3781695404929*c_1100_0^2 - 9895803378736/3781695404929*c_1100_0 - 2010569100834/3781695404929, c_1001_10 + c_1100_0, c_1100_0^15 - 2*c_1100_0^14 + 4/3*c_1100_0^13 + 8*c_1100_0^12 - 47/3*c_1100_0^11 + 2*c_1100_0^10 - 46*c_1100_0^9 + 2*c_1100_0^8 - 97/3*c_1100_0^7 + 58/3*c_1100_0^6 - 7*c_1100_0^5 + 44/3*c_1100_0^4 + 2/3*c_1100_0^3 + 11/3*c_1100_0^2 + 1/3*c_1100_0 + 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.470 Total time: 1.679 seconds, Total memory usage: 81.19MB