Magma V2.19-8 Tue Aug 20 2013 23:29:45 on localhost [Seed = 2101025582] Type ? for help. Type -D to quit. Loading file "K13n3158__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n3158 geometric_solution 8.32335966 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 9 1 2 1 3 0132 0132 2310 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 -1 0 1 -1 0 -1 2 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.720668727449 1.661325743262 0 0 5 4 0132 3201 0132 0132 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 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 0.140653547367 0.403878700819 3 0 7 6 3201 0132 0132 0132 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 1 0 -1 2 0 -2 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 -0.106255166614 0.638240743451 7 6 0 2 0132 2103 0132 2310 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 -1 1 2 0 -2 0 0 2 0 -2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.605815362271 0.920535175934 5 8 1 6 1230 0132 0132 2103 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.126153228968 1.366987323448 7 4 8 1 2310 3012 1302 0132 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 0 0 0 0 0 -0.058133409571 1.460492874169 8 3 2 4 2310 2103 0132 2103 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 -2 1 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 0.435869434419 0.946064709089 3 8 5 2 0132 1302 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 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.361047392489 0.779363032837 5 4 6 7 2031 0132 3201 2031 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 0.501139058377 0.758018157449 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_0011_6'], 'c_1001_8' : negation(d['c_0101_6']), 's_2_8' : 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_2_7' : d['1'], 's_0_8' : 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_8' : negation(d['c_0011_6']), 'c_1100_5' : d['c_0101_8'], 'c_1100_4' : d['c_0101_8'], 'c_1100_7' : negation(d['c_0011_5']), 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_1' : d['c_0101_8'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_5']), 'c_1010_7' : d['c_0011_6'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : negation(d['c_0101_6']), 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0011_6'], 'c_1010_8' : negation(d['c_0011_3']), '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_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_8' : d['1'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0101_1']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 'c_0110_8' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_5'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_8'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_6, c_0101_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 5358950515600/9181993333959*c_0101_8^11 + 26060954197796/9181993333959*c_0101_8^10 + 31582146240905/9181993333959*c_0101_8^9 - 58663079293537/15303322223265*c_0101_8^8 - 195988371152257/45909966669795*c_0101_8^7 + 412601659493291/45909966669795*c_0101_8^6 + 341853173536748/45909966669795*c_0101_8^5 - 103977381607403/15303322223265*c_0101_8^4 - 543517890125879/45909966669795*c_0101_8^3 - 192258137214199/45909966669795*c_0101_8^2 + 305949831050333/45909966669795*c_0101_8 - 11980148905934/5101107407755, c_0011_0 - 1, c_0011_3 + 9984528245384/15303322223265*c_0101_8^11 + 4203728868217/1020221481551*c_0101_8^10 + 140116892557742/15303322223265*c_0101_8^9 + 66076875594544/15303322223265*c_0101_8^8 - 164606339970379/15303322223265*c_0101_8^7 - 246206845906571/15303322223265*c_0101_8^6 - 19568679663226/3060664444653*c_0101_8^5 + 19600705126915/3060664444653*c_0101_8^4 + 140448102668647/15303322223265*c_0101_8^3 + 2098529847019/5101107407755*c_0101_8^2 + 2472560665637/3060664444653*c_0101_8 + 13128909589079/15303322223265, c_0011_4 - 1936377332384/5101107407755*c_0101_8^11 - 9830490375721/5101107407755*c_0101_8^10 - 12985983865487/5101107407755*c_0101_8^9 + 15685850329154/5101107407755*c_0101_8^8 + 38995535936471/5101107407755*c_0101_8^7 + 8829361926513/5101107407755*c_0101_8^6 - 5542285809690/1020221481551*c_0101_8^5 - 31320275966079/5101107407755*c_0101_8^4 - 1924591977164/5101107407755*c_0101_8^3 + 20483266810748/5101107407755*c_0101_8^2 - 4478770769557/5101107407755*c_0101_8 - 1418295615111/5101107407755, c_0011_5 - 3896549969686/15303322223265*c_0101_8^11 - 7913975568174/5101107407755*c_0101_8^10 - 9628449902594/3060664444653*c_0101_8^9 - 9644801769461/15303322223265*c_0101_8^8 + 70078862640143/15303322223265*c_0101_8^7 + 62168839966411/15303322223265*c_0101_8^6 - 2998613563172/15303322223265*c_0101_8^5 - 40035308544514/15303322223265*c_0101_8^4 - 22633505938778/15303322223265*c_0101_8^3 + 1332425035640/1020221481551*c_0101_8^2 - 1452249289396/3060664444653*c_0101_8 - 19024019675362/15303322223265, c_0011_6 - 685660309532/15303322223265*c_0101_8^11 - 1829870688408/5101107407755*c_0101_8^10 - 16807677453677/15303322223265*c_0101_8^9 - 21261844604338/15303322223265*c_0101_8^8 - 1278916138826/15303322223265*c_0101_8^7 + 4851162696058/3060664444653*c_0101_8^6 + 27606614927954/15303322223265*c_0101_8^5 + 4495929006871/15303322223265*c_0101_8^4 - 15336829350817/15303322223265*c_0101_8^3 - 5627047207694/5101107407755*c_0101_8^2 + 4050207710129/15303322223265*c_0101_8 + 4699524169474/15303322223265, c_0101_0 + 4772055233836/15303322223265*c_0101_8^11 + 10800368642557/5101107407755*c_0101_8^10 + 80045219833711/15303322223265*c_0101_8^9 + 54799256341652/15303322223265*c_0101_8^8 - 17026300438807/3060664444653*c_0101_8^7 - 169024310805808/15303322223265*c_0101_8^6 - 79980258364852/15303322223265*c_0101_8^5 + 56829571651213/15303322223265*c_0101_8^4 + 91204756996844/15303322223265*c_0101_8^3 + 9110832835982/5101107407755*c_0101_8^2 - 17826779462/325602600495*c_0101_8 + 15909315150166/15303322223265, c_0101_1 + 747773623091/15303322223265*c_0101_8^11 + 2304875858651/5101107407755*c_0101_8^10 + 22307457829541/15303322223265*c_0101_8^9 + 23547566400541/15303322223265*c_0101_8^8 - 22917160050724/15303322223265*c_0101_8^7 - 63800403230852/15303322223265*c_0101_8^6 - 36145277183087/15303322223265*c_0101_8^5 + 14375158934156/15303322223265*c_0101_8^4 + 42606607394188/15303322223265*c_0101_8^3 + 7068536422432/5101107407755*c_0101_8^2 - 3497048664742/3060664444653*c_0101_8 + 34640745107/65120520099, c_0101_6 - 3210889660154/15303322223265*c_0101_8^11 - 6084104879766/5101107407755*c_0101_8^10 - 31334572059293/15303322223265*c_0101_8^9 + 11617042834877/15303322223265*c_0101_8^8 + 71357778778969/15303322223265*c_0101_8^7 + 37913026486121/15303322223265*c_0101_8^6 - 30605228491126/15303322223265*c_0101_8^5 - 8906247510277/3060664444653*c_0101_8^4 - 7296676587961/15303322223265*c_0101_8^3 + 12289172385894/5101107407755*c_0101_8^2 - 11311454157109/15303322223265*c_0101_8 - 8420221621571/15303322223265, c_0101_8^12 + 69/11*c_0101_8^11 + 152/11*c_0101_8^10 + 70/11*c_0101_8^9 - 178/11*c_0101_8^8 - 269/11*c_0101_8^7 - 122/11*c_0101_8^6 + 92/11*c_0101_8^5 + 145/11*c_0101_8^4 + 24/11*c_0101_8^3 + 34/11*c_0101_8^2 + 20/11*c_0101_8 + 9/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB