Magma V2.19-8 Wed Aug 21 2013 00:59:05 on localhost [Seed = 2193922529] Type ? for help. Type -D to quit. Loading file "L13n6564__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6564 geometric_solution 11.66270750 oriented_manifold CS_known 0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 3012 1 1 1 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 1 0 -1 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442409034692 0.518953195597 0 4 0 5 0132 0132 1230 0132 1 1 0 1 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 -1 0 1 0 -1 3 0 -2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.960999044403 0.894407470866 3 0 5 6 0321 0132 1230 0132 1 0 0 1 0 0 0 0 1 0 0 -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 -3 0 1 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 0.960999044403 0.894407470866 2 7 8 0 0321 0132 0132 0132 1 1 0 0 0 0 0 0 -1 0 0 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 1 -1 0 0 -1 1 0 -1 0 1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.769901047853 1.167289804239 5 1 7 9 0213 0132 1302 0132 1 0 1 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 -1 0 1 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.606251784590 0.596983571548 4 10 1 2 0213 0132 0132 3012 1 1 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 1 0 0 -1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442409034692 0.518953195597 10 11 2 9 0213 0132 0132 3120 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 2 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 -0.113348100684 0.681549590804 4 3 11 10 2031 0132 0132 1023 1 1 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 -3 3 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.696535797178 1.233653733094 12 9 9 3 0132 2310 3012 0132 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 0 0 0 0 0 0 0 1 0 -1 0 0 -1 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 0.291607812214 1.007331972432 6 8 4 8 3120 1230 0132 3201 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 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 0.467111647774 0.664231629894 6 5 12 7 0213 0132 1023 1023 1 1 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 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.571244943676 0.836983756362 12 6 12 7 1230 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.725569981692 0.423567694791 8 11 10 11 0132 3012 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.058390385831 0.827034890182 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_9']), 'c_1001_10' : d['c_0101_12'], 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : d['c_0110_7'], 'c_1001_4' : d['c_0110_7'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0110_10'], 'c_1001_2' : negation(d['c_0101_1']), 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : negation(d['c_0011_9']), 'c_1010_12' : negation(d['c_0011_9']), 'c_1010_11' : d['c_1001_0'], 'c_1010_10' : d['c_0110_7'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0011_9'], 'c_0101_10' : negation(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_12' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_1001_1']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : d['c_0011_12'], 'c_1100_7' : negation(d['c_1100_10']), 'c_1100_6' : negation(d['c_0101_9']), 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_0101_9']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_12'], 'c_1100_11' : negation(d['c_1100_10']), 'c_1100_10' : d['c_1100_10'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_10'], 'c_1010_6' : negation(d['c_0011_9']), 'c_1010_5' : d['c_0101_12'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0110_7'], 'c_1010_0' : negation(d['c_0101_1']), 'c_1010_9' : d['c_0011_9'], 'c_1010_8' : d['c_0110_10'], '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'], 'c_1100_12' : negation(d['c_1100_10']), '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_9'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : negation(d['c_0011_11']), '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_12'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0011_9'], 'c_0101_7' : d['c_0011_12'], 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : negation(d['c_0101_12']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_9'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0110_10']), 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : d['c_0011_10'], 'c_0110_5' : negation(d['c_0101_9']), 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : negation(d['c_0110_10']), 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_9, c_0101_1, c_0101_12, c_0101_9, c_0110_10, c_0110_7, c_1001_0, c_1001_1, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 25603057786577671/776995391403693*c_1100_10^8 - 51010398782686345/776995391403693*c_1100_10^7 + 264274062036840866/776995391403693*c_1100_10^6 + 477646085445919051/776995391403693*c_1100_10^5 - 37077313812888938/110999341629099*c_1100_10^4 - 7507302926744811182/776995391403693*c_1100_10^3 + 152433679759313951/7848438297007*c_1100_10^2 - 365864715214738106/23545314891021*c_1100_10 + 4740367266209905247/776995391403693, c_0011_0 - 1, c_0011_10 + 923380228/43683330039*c_1100_10^8 + 2489618611/43683330039*c_1100_10^7 - 7018349330/43683330039*c_1100_10^6 - 19721952706/43683330039*c_1100_10^5 - 8985603526/43683330039*c_1100_10^4 + 246844014092/43683330039*c_1100_10^3 - 129253229788/14561110013*c_1100_10^2 + 113780389579/14561110013*c_1100_10 - 129919368422/43683330039, c_0011_11 + 404303581/43683330039*c_1100_10^8 + 1529960629/43683330039*c_1100_10^7 - 1609547489/43683330039*c_1100_10^6 - 11231311219/43683330039*c_1100_10^5 - 16598103025/43683330039*c_1100_10^4 + 92061747269/43683330039*c_1100_10^3 - 16866154169/14561110013*c_1100_10^2 + 21324003040/14561110013*c_1100_10 + 442271467/43683330039, c_0011_12 + 259000544/14561110013*c_1100_10^8 + 733375111/14561110013*c_1100_10^7 - 1943865763/14561110013*c_1100_10^6 - 6046199022/14561110013*c_1100_10^5 - 3089499318/14561110013*c_1100_10^4 + 70204045597/14561110013*c_1100_10^3 - 93880121592/14561110013*c_1100_10^2 + 74807818296/14561110013*c_1100_10 - 23804112100/14561110013, c_0011_9 + 67660325/14561110013*c_1100_10^8 + 262760109/14561110013*c_1100_10^7 - 266274876/14561110013*c_1100_10^6 - 1928878480/14561110013*c_1100_10^5 - 2255149591/14561110013*c_1100_10^4 + 16494620172/14561110013*c_1100_10^3 - 8953089643/14561110013*c_1100_10^2 - 67839065/14561110013*c_1100_10 + 4846126897/14561110013, c_0101_1 - 1, c_0101_12 - 372737498/43683330039*c_1100_10^8 - 879657920/43683330039*c_1100_10^7 + 3533209381/43683330039*c_1100_10^6 + 8750923232/43683330039*c_1100_10^5 + 1923806843/43683330039*c_1100_10^4 - 105323745676/43683330039*c_1100_10^3 + 58126601709/14561110013*c_1100_10^2 - 53600869305/14561110013*c_1100_10 + 63952040041/43683330039, c_0101_9 + 372737498/43683330039*c_1100_10^8 + 879657920/43683330039*c_1100_10^7 - 3533209381/43683330039*c_1100_10^6 - 8750923232/43683330039*c_1100_10^5 - 1923806843/43683330039*c_1100_10^4 + 105323745676/43683330039*c_1100_10^3 - 58126601709/14561110013*c_1100_10^2 + 53600869305/14561110013*c_1100_10 - 63952040041/43683330039, c_0110_10 + 259000544/14561110013*c_1100_10^8 + 733375111/14561110013*c_1100_10^7 - 1943865763/14561110013*c_1100_10^6 - 6046199022/14561110013*c_1100_10^5 - 3089499318/14561110013*c_1100_10^4 + 70204045597/14561110013*c_1100_10^3 - 93880121592/14561110013*c_1100_10^2 + 74807818296/14561110013*c_1100_10 - 23804112100/14561110013, c_0110_7 + 293498584/43683330039*c_1100_10^8 + 1137679345/43683330039*c_1100_10^7 - 1115531933/43683330039*c_1100_10^6 - 8079274042/43683330039*c_1100_10^5 - 10760176771/43683330039*c_1100_10^4 + 67625386427/43683330039*c_1100_10^3 - 14565515218/14561110013*c_1100_10^2 + 2644972843/14561110013*c_1100_10 + 42406350298/43683330039, c_1001_0 + 293498584/43683330039*c_1100_10^8 + 1137679345/43683330039*c_1100_10^7 - 1115531933/43683330039*c_1100_10^6 - 8079274042/43683330039*c_1100_10^5 - 10760176771/43683330039*c_1100_10^4 + 67625386427/43683330039*c_1100_10^3 - 14565515218/14561110013*c_1100_10^2 + 2644972843/14561110013*c_1100_10 + 42406350298/43683330039, c_1001_1 + 293498584/43683330039*c_1100_10^8 + 1137679345/43683330039*c_1100_10^7 - 1115531933/43683330039*c_1100_10^6 - 8079274042/43683330039*c_1100_10^5 - 10760176771/43683330039*c_1100_10^4 + 67625386427/43683330039*c_1100_10^3 - 14565515218/14561110013*c_1100_10^2 + 2644972843/14561110013*c_1100_10 - 1276979741/43683330039, c_1100_10^9 + 2*c_1100_10^8 - 10*c_1100_10^7 - 18*c_1100_10^6 + 7*c_1100_10^5 + 286*c_1100_10^4 - 586*c_1100_10^3 + 561*c_1100_10^2 - 323*c_1100_10 + 49 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.210 Total time: 0.420 seconds, Total memory usage: 32.09MB