Magma V2.19-8 Wed Aug 21 2013 00:45:40 on localhost [Seed = 3785881134] Type ? for help. Type -D to quit. Loading file "K14n7124__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n7124 geometric_solution 11.56822979 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 1230 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.678271517543 0.768364870878 0 4 0 5 0132 0132 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.354295755294 0.731471756924 6 7 7 0 0132 0132 2103 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.796237044819 0.816066924605 8 9 0 10 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.303700467660 1.155391901950 11 1 5 12 0132 0132 3012 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 0 -1 0 1 -3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.506542949501 0.392762257042 12 4 1 8 3201 1230 0132 0132 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 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.547539328568 0.955990709348 2 11 12 8 0132 3201 3201 3201 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 0 0 0 0 0 0.583796487103 0.713913666444 2 2 8 9 2103 0132 1230 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.087109551690 0.582562208920 3 6 5 7 0132 2310 0132 3012 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 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.792810963025 1.625563314710 10 3 11 7 3012 0132 0132 0213 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 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.302356398497 0.329547751401 12 11 3 9 1230 0132 0132 1230 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 -1 1 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.753707574552 0.433368463739 4 10 6 9 0132 0132 2310 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 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.178768957740 0.711091741692 6 10 4 5 2310 3012 0132 2310 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 -2 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.846772939047 1.192685120681 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_4'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_11']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0011_2']), 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : d['c_0101_4'], 'c_1010_12' : negation(d['c_0101_10']), 'c_1010_11' : d['c_1001_10'], 'c_1010_10' : d['c_0101_4'], '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'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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' : negation(d['c_0011_0']), 'c_0011_10' : d['c_0011_0'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : d['c_0011_5'], 'c_1100_7' : d['c_0101_1'], 'c_1100_6' : negation(d['c_0011_12']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : negation(d['c_0110_7']), 'c_1100_3' : negation(d['c_0110_7']), 'c_1100_2' : negation(d['c_0110_7']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_2']), 'c_1100_11' : negation(d['c_0011_2']), 'c_1100_10' : negation(d['c_0110_7']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_2']), 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_1001_10'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_5']), 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0101_1'], 'c_1010_8' : negation(d['c_0101_2']), 'c_1100_8' : negation(d['c_1001_0']), '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' : d['c_0011_5'], '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_12'], 'c_0011_8' : d['c_0011_12'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_12']), 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : d['c_0101_4'], 'c_0110_10' : d['c_0011_12'], 'c_0110_12' : negation(d['c_0101_0']), 'c_0101_12' : d['c_0101_11'], 'c_0101_7' : d['c_0101_2'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], '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_4'], 'c_0101_8' : d['c_0101_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0110_7']), 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_10'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : d['c_0101_2']})} 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_12, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_4, c_0110_7, c_1001_0, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 101051/630828*c_1001_10^8 - 5717/19116*c_1001_10^7 - 569870/157707*c_1001_10^6 + 923818/52569*c_1001_10^5 - 7099519/315414*c_1001_10^4 - 5090201/210276*c_1001_10^3 + 1568642/14337*c_1001_10^2 - 2529013/19116*c_1001_10 + 2130437/35046, c_0011_0 - 1, c_0011_12 + 20/81*c_1001_10^8 - 40/27*c_1001_10^7 + 199/81*c_1001_10^6 + 88/27*c_1001_10^5 - 1145/81*c_1001_10^4 + 343/27*c_1001_10^3 + 460/81*c_1001_10^2 - 395/27*c_1001_10 + 61/9, c_0011_2 + 1/3*c_1001_10^8 - 7/3*c_1001_10^7 + 17/3*c_1001_10^6 - 5/3*c_1001_10^5 - 49/3*c_1001_10^4 + 103/3*c_1001_10^3 - 97/3*c_1001_10^2 + 46/3*c_1001_10 - 3, c_0011_5 + 25/81*c_1001_10^8 - 56/27*c_1001_10^7 + 404/81*c_1001_10^6 - 55/27*c_1001_10^5 - 979/81*c_1001_10^4 + 806/27*c_1001_10^3 - 2881/81*c_1001_10^2 + 671/27*c_1001_10 - 67/9, c_0101_0 + 61/81*c_1001_10^8 - 149/27*c_1001_10^7 + 1178/81*c_1001_10^6 - 196/27*c_1001_10^5 - 3148/81*c_1001_10^4 + 2492/27*c_1001_10^3 - 7183/81*c_1001_10^2 + 1070/27*c_1001_10 - 52/9, c_0101_1 + 40/81*c_1001_10^8 - 107/27*c_1001_10^7 + 965/81*c_1001_10^6 - 283/27*c_1001_10^5 - 1966/81*c_1001_10^4 + 2117/27*c_1001_10^3 - 7585/81*c_1001_10^2 + 1478/27*c_1001_10 - 121/9, c_0101_10 - 20/81*c_1001_10^8 + 40/27*c_1001_10^7 - 199/81*c_1001_10^6 - 88/27*c_1001_10^5 + 1145/81*c_1001_10^4 - 343/27*c_1001_10^3 - 460/81*c_1001_10^2 + 368/27*c_1001_10 - 52/9, c_0101_11 + 4/27*c_1001_10^8 - c_1001_10^7 + 65/27*c_1001_10^6 - c_1001_10^5 - 157/27*c_1001_10^4 + 43/3*c_1001_10^3 - 457/27*c_1001_10^2 + 35/3*c_1001_10 - 14/3, c_0101_2 - 56/81*c_1001_10^8 + 145/27*c_1001_10^7 - 1243/81*c_1001_10^6 + 302/27*c_1001_10^5 + 2855/81*c_1001_10^4 - 2689/27*c_1001_10^3 + 8891/81*c_1001_10^2 - 1564/27*c_1001_10 + 107/9, c_0101_4 + 1, c_0110_7 + 40/81*c_1001_10^8 - 107/27*c_1001_10^7 + 965/81*c_1001_10^6 - 283/27*c_1001_10^5 - 1966/81*c_1001_10^4 + 2117/27*c_1001_10^3 - 7585/81*c_1001_10^2 + 1451/27*c_1001_10 - 112/9, c_1001_0 + 73/81*c_1001_10^8 - 185/27*c_1001_10^7 + 1535/81*c_1001_10^6 - 322/27*c_1001_10^5 - 3781/81*c_1001_10^4 + 3266/27*c_1001_10^3 - 10174/81*c_1001_10^2 + 1718/27*c_1001_10 - 121/9, c_1001_10^9 - 9*c_1001_10^8 + 32*c_1001_10^7 - 45*c_1001_10^6 - 28*c_1001_10^5 + 207*c_1001_10^4 - 346*c_1001_10^3 + 297*c_1001_10^2 - 135*c_1001_10 + 27 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_12, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_4, c_0110_7, c_1001_0, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 14525520792485/79751300707099*c_1001_10^11 + 107879527315736/79751300707099*c_1001_10^10 + 439520026618472/79751300707099*c_1001_10^9 + 1092805821176968/79751300707099*c_1001_10^8 + 1754326327168680/79751300707099*c_1001_10^7 + 1574103107810277/79751300707099*c_1001_10^6 + 175339068471660/79751300707099*c_1001_10^5 - 827941004437373/79751300707099*c_1001_10^4 + 650805336317391/79751300707099*c_1001_10^3 + 4164571435417357/79751300707099*c_1001_10^2 + 5613064518615098/79751300707099*c_1001_10 + 2657152891645869/79751300707099, c_0011_0 - 1, c_0011_12 + 1501979586/13944973021*c_1001_10^11 + 11396493708/13944973021*c_1001_10^10 + 46798914217/13944973021*c_1001_10^9 + 117260305320/13944973021*c_1001_10^8 + 188394025894/13944973021*c_1001_10^7 + 167369216718/13944973021*c_1001_10^6 + 9199636494/13944973021*c_1001_10^5 - 113884428486/13944973021*c_1001_10^4 + 42067627207/13944973021*c_1001_10^3 + 61753346269/1992139003*c_1001_10^2 + 620432633711/13944973021*c_1001_10 + 43435681057/1992139003, c_0011_2 + 69147572/13944973021*c_1001_10^11 - 302499866/13944973021*c_1001_10^10 - 3370615082/13944973021*c_1001_10^9 - 15740603773/13944973021*c_1001_10^8 - 39136989282/13944973021*c_1001_10^7 - 59939975696/13944973021*c_1001_10^6 - 41882687702/13944973021*c_1001_10^5 + 22712626350/13944973021*c_1001_10^4 + 46174384152/13944973021*c_1001_10^3 - 4504466508/1992139003*c_1001_10^2 - 183700644991/13944973021*c_1001_10 - 26401229943/1992139003, c_0011_5 - 698219859/13944973021*c_1001_10^11 - 4918260542/13944973021*c_1001_10^10 - 19306683959/13944973021*c_1001_10^9 - 45673297728/13944973021*c_1001_10^8 - 69480093167/13944973021*c_1001_10^7 - 55678206026/13944973021*c_1001_10^6 + 3844150748/13944973021*c_1001_10^5 + 40036166707/13944973021*c_1001_10^4 - 25059871937/13944973021*c_1001_10^3 - 23005563655/1992139003*c_1001_10^2 - 220168050243/13944973021*c_1001_10 - 14302218834/1992139003, c_0101_0 + 29651281/1992139003*c_1001_10^11 + 254436655/1992139003*c_1001_10^10 + 1149833820/1992139003*c_1001_10^9 + 3330962072/1992139003*c_1001_10^8 + 6386148404/1992139003*c_1001_10^7 + 7689680705/1992139003*c_1001_10^6 + 3511590571/1992139003*c_1001_10^5 - 3494565923/1992139003*c_1001_10^4 - 3216670585/1992139003*c_1001_10^3 + 10655067651/1992139003*c_1001_10^2 + 26659477505/1992139003*c_1001_10 + 19899850548/1992139003, c_0101_1 - 59498528/13944973021*c_1001_10^11 + 136688844/13944973021*c_1001_10^10 + 1593516322/13944973021*c_1001_10^9 + 7488953210/13944973021*c_1001_10^8 + 17114607787/13944973021*c_1001_10^7 + 25027009116/13944973021*c_1001_10^6 + 14826183637/13944973021*c_1001_10^5 - 12290012913/13944973021*c_1001_10^4 - 17405425684/13944973021*c_1001_10^3 + 2180809184/1992139003*c_1001_10^2 + 71696234493/13944973021*c_1001_10 + 10607460887/1992139003, c_0101_10 + 385726711/13944973021*c_1001_10^11 + 3314903985/13944973021*c_1001_10^10 + 14549115095/13944973021*c_1001_10^9 + 39352272125/13944973021*c_1001_10^8 + 67435129641/13944973021*c_1001_10^7 + 65778164618/13944973021*c_1001_10^6 + 10112580482/13944973021*c_1001_10^5 - 44018698649/13944973021*c_1001_10^4 + 2053489744/13944973021*c_1001_10^3 + 20358243613/1992139003*c_1001_10^2 + 219091714414/13944973021*c_1001_10 + 17967308076/1992139003, c_0101_11 - 2112492121/13944973021*c_1001_10^11 - 16090874606/13944973021*c_1001_10^10 - 65902111017/13944973021*c_1001_10^9 - 164371853005/13944973021*c_1001_10^8 - 260833639090/13944973021*c_1001_10^7 - 225148430629/13944973021*c_1001_10^6 - 448128913/13944973021*c_1001_10^5 + 158874465047/13944973021*c_1001_10^4 - 76749277258/13944973021*c_1001_10^3 - 88024118554/1992139003*c_1001_10^2 - 846214082411/13944973021*c_1001_10 - 56652635425/1992139003, c_0101_2 - 10586001/1992139003*c_1001_10^11 - 4044342/1992139003*c_1001_10^10 + 87329473/1992139003*c_1001_10^9 + 548109158/1992139003*c_1001_10^8 + 1157456109/1992139003*c_1001_10^7 + 1686291543/1992139003*c_1001_10^6 + 1026906480/1992139003*c_1001_10^5 - 489931448/1992139003*c_1001_10^4 - 381466238/1992139003*c_1001_10^3 + 602623457/1992139003*c_1001_10^2 + 4847072375/1992139003*c_1001_10 + 6297342540/1992139003, c_0101_4 + 1887706297/13944973021*c_1001_10^11 + 14711397693/13944973021*c_1001_10^10 + 61348029312/13944973021*c_1001_10^9 + 156612577445/13944973021*c_1001_10^8 + 255829155535/13944973021*c_1001_10^7 + 233147381336/13944973021*c_1001_10^6 + 19312216976/13944973021*c_1001_10^5 - 157903127135/13944973021*c_1001_10^4 + 44121116951/13944973021*c_1001_10^3 + 82111589882/1992139003*c_1001_10^2 + 853469321146/13944973021*c_1001_10 + 61402989133/1992139003, c_0110_7 - 633946459/13944973021*c_1001_10^11 - 5052733925/13944973021*c_1001_10^10 - 21666479552/13944973021*c_1001_10^9 - 56970978944/13944973021*c_1001_10^8 - 96333150282/13944973021*c_1001_10^7 - 91990644723/13944973021*c_1001_10^6 - 13191977593/13944973021*c_1001_10^5 + 61707997136/13944973021*c_1001_10^4 - 3573091100/13944973021*c_1001_10^3 - 30141745317/1992139003*c_1001_10^2 - 326883832246/13944973021*c_1001_10 - 25459559488/1992139003, c_1001_0 - 154788301/1992139003*c_1001_10^11 - 1115955393/1992139003*c_1001_10^10 - 4396377566/1992139003*c_1001_10^9 - 10355647152/1992139003*c_1001_10^8 - 15191731056/1992139003*c_1001_10^7 - 10856106187/1992139003*c_1001_10^6 + 3505171219/1992139003*c_1001_10^5 + 9092953280/1992139003*c_1001_10^4 - 9832773102/1992139003*c_1001_10^3 - 39974663658/1992139003*c_1001_10^2 - 42632625965/1992139003*c_1001_10 - 11974574066/1992139003, c_1001_10^12 + 9*c_1001_10^11 + 42*c_1001_10^10 + 123*c_1001_10^9 + 239*c_1001_10^8 + 295*c_1001_10^7 + 170*c_1001_10^6 - 66*c_1001_10^5 - 83*c_1001_10^4 + 328*c_1001_10^3 + 834*c_1001_10^2 + 808*c_1001_10 + 301 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 6.450 Total time: 6.660 seconds, Total memory usage: 64.12MB