Magma V2.19-8 Wed Aug 21 2013 01:03:07 on localhost [Seed = 3153961889] Type ? for help. Type -D to quit. Loading file "L14n17645__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n17645 geometric_solution 10.51766260 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 3201 0132 0 1 0 1 0 -1 0 1 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 2 1 -3 1 0 -1 0 0 -1 0 1 -12 1 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.828563170677 0.536973537202 0 2 5 4 0132 0213 0132 0132 0 1 1 0 0 1 -1 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 -2 2 0 -1 0 0 1 12 0 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.389498263983 1.139202168245 0 0 1 3 2310 0132 0213 0213 0 1 1 0 0 1 -1 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 -2 2 0 -11 0 0 11 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.150067405402 0.550822590065 5 4 0 2 0132 0132 0132 0213 0 1 1 0 0 1 -1 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 -3 3 0 0 0 0 0 11 0 0 -11 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.389498263983 1.139202168245 6 3 1 7 0132 0132 0132 0132 0 1 0 1 0 -1 0 1 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 3 0 -3 1 0 -1 0 1 -1 0 0 -12 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.005071647069 0.426288618186 3 8 9 1 0132 0132 0132 0132 0 1 0 1 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 0 2 -2 0 0 0 0 0 0 0 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.005071647069 0.426288618186 4 10 11 9 0132 0132 0132 3120 1 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 0 0 0 0 0 0 1 -1 -1 0 1 0 12 -11 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.617602059376 0.997549744753 11 8 4 12 0132 1230 0132 0132 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 0 0 0 0 0 0 0 -1 3 -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 1.693746957544 0.619408611822 10 5 7 11 0132 0132 3012 3201 0 0 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 0 0 0 0 0 0 0 0 0 0 1 -1 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.693746957544 0.619408611822 6 11 12 5 3120 3201 0132 0132 0 1 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 0 0 0 0 0 0 0 0 0 0 0 2 -2 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 0.617602059376 0.997549744753 8 6 12 12 0132 0132 1302 2031 1 0 0 1 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 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.641424107873 1.297305042460 7 8 9 6 0132 2310 2310 0132 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 1 -1 0 0 1 -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 0.889086375995 0.358355616993 10 10 7 9 2031 1302 0132 0132 0 1 1 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 0.641424107873 1.297305042460 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_0'], 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_9']), 'c_1001_12' : d['c_0101_8'], 'c_1001_5' : negation(d['c_1001_11']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : d['c_0011_12'], 'c_1001_1' : d['c_0011_11'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : d['c_0011_11'], 'c_1001_9' : negation(d['c_0101_11']), 'c_1001_8' : d['c_0011_11'], 'c_1010_12' : negation(d['c_0101_11']), 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : d['c_0011_12'], 's_3_11' : d['1'], 's_3_10' : 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' : negation(d['c_0011_12']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : negation(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' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(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_0011_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_0011_9'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_1001_4'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_9'], 'c_1100_10' : d['c_0101_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_8'], 'c_1010_6' : negation(d['c_0011_9']), 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : d['c_0011_11'], 'c_1010_3' : d['c_1001_4'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0011_11'], 'c_1010_9' : negation(d['c_1001_11']), 'c_1010_8' : negation(d['c_1001_11']), 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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_10']), 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_10']), '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_0101_6'], 'c_0110_10' : d['c_0101_8'], 'c_0110_12' : negation(d['c_0011_9']), 'c_0101_12' : d['c_0101_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_9']), 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : negation(d['c_0011_12']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_6'], 'c_0110_7' : d['c_0101_11'], 'c_0011_10' : d['c_0011_10']})} 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_0, c_0101_1, c_0101_11, c_0101_6, c_0101_8, c_1001_11, c_1001_4, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 10457210020523/900080885878850*c_1100_1^10 + 173007222475413/900080885878850*c_1100_1^9 + 270773586896944/450040442939425*c_1100_1^8 + 122917215013262/90008088587885*c_1100_1^7 + 528621493122981/900080885878850*c_1100_1^6 - 5803022601212723/900080885878850*c_1100_1^5 - 8392730400191022/450040442939425*c_1100_1^4 - 12794096739744524/450040442939425*c_1100_1^3 - 58920658945673/1565358062398*c_1100_1^2 - 15713050883883984/450040442939425*c_1100_1 - 13915677215599559/900080885878850, c_0011_0 - 1, c_0011_10 - c_1100_1, c_0011_11 + 8511672/295064953*c_1100_1^10 + 1471382/295064953*c_1100_1^9 + 12309355/295064953*c_1100_1^8 - 77652109/295064953*c_1100_1^7 - 178626477/295064953*c_1100_1^6 - 81554135/295064953*c_1100_1^5 + 59559402/295064953*c_1100_1^4 - 77805693/295064953*c_1100_1^3 + 26625582/12828911*c_1100_1^2 + 31628876/295064953*c_1100_1 - 66956419/295064953, c_0011_12 + 2218703/295064953*c_1100_1^10 - 14769217/590129906*c_1100_1^9 - 3662884/295064953*c_1100_1^8 - 76888463/590129906*c_1100_1^7 + 7039689/590129906*c_1100_1^6 + 378541959/590129906*c_1100_1^5 + 464797851/590129906*c_1100_1^4 + 203180054/295064953*c_1100_1^3 + 19564038/12828911*c_1100_1^2 - 401654531/590129906*c_1100_1 - 215420733/295064953, c_0011_9 + 6337724/295064953*c_1100_1^10 + 3893117/590129906*c_1100_1^9 + 33221159/590129906*c_1100_1^8 - 42703005/295064953*c_1100_1^7 - 242079933/590129906*c_1100_1^6 - 117224334/295064953*c_1100_1^5 - 425460871/590129906*c_1100_1^4 - 733565479/590129906*c_1100_1^3 + 18192747/25657822*c_1100_1^2 - 5684130/295064953*c_1100_1 - 29081600/295064953, c_0101_0 - 1, c_0101_1 - 8511672/295064953*c_1100_1^10 - 1471382/295064953*c_1100_1^9 - 12309355/295064953*c_1100_1^8 + 77652109/295064953*c_1100_1^7 + 178626477/295064953*c_1100_1^6 + 81554135/295064953*c_1100_1^5 - 59559402/295064953*c_1100_1^4 + 77805693/295064953*c_1100_1^3 - 26625582/12828911*c_1100_1^2 - 31628876/295064953*c_1100_1 + 362021372/295064953, c_0101_11 + 2218703/295064953*c_1100_1^10 - 14769217/590129906*c_1100_1^9 - 3662884/295064953*c_1100_1^8 - 76888463/590129906*c_1100_1^7 + 7039689/590129906*c_1100_1^6 + 378541959/590129906*c_1100_1^5 + 464797851/590129906*c_1100_1^4 + 203180054/295064953*c_1100_1^3 + 19564038/12828911*c_1100_1^2 - 401654531/590129906*c_1100_1 - 215420733/295064953, c_0101_6 + 1471382/295064953*c_1100_1^10 - 3242607/295064953*c_1100_1^9 - 5761050/295064953*c_1100_1^8 - 26463442/295064953*c_1100_1^7 - 21853796/295064953*c_1100_1^6 + 105680347/295064953*c_1100_1^5 + 220080525/295064953*c_1100_1^4 + 262209189/295064953*c_1100_1^3 + 12827770/12828911*c_1100_1^2 + 7230817/295064953*c_1100_1 - 200299604/295064953, c_0101_8 + 9376559/295064953*c_1100_1^10 + 4890911/590129906*c_1100_1^9 + 29155777/590129906*c_1100_1^8 - 151082527/590129906*c_1100_1^7 - 203953623/295064953*c_1100_1^6 - 102511225/295064953*c_1100_1^5 - 12034426/295064953*c_1100_1^4 - 542759225/590129906*c_1100_1^3 + 29000643/12828911*c_1100_1^2 + 174482513/590129906*c_1100_1 + 154399195/590129906, c_1001_11 + 1471382/295064953*c_1100_1^10 - 3242607/295064953*c_1100_1^9 - 5761050/295064953*c_1100_1^8 - 26463442/295064953*c_1100_1^7 - 21853796/295064953*c_1100_1^6 + 105680347/295064953*c_1100_1^5 + 220080525/295064953*c_1100_1^4 + 262209189/295064953*c_1100_1^3 + 12827770/12828911*c_1100_1^2 + 7230817/295064953*c_1100_1 - 200299604/295064953, c_1001_4 - 8511672/295064953*c_1100_1^10 - 1471382/295064953*c_1100_1^9 - 12309355/295064953*c_1100_1^8 + 77652109/295064953*c_1100_1^7 + 178626477/295064953*c_1100_1^6 + 81554135/295064953*c_1100_1^5 - 59559402/295064953*c_1100_1^4 + 77805693/295064953*c_1100_1^3 - 26625582/12828911*c_1100_1^2 - 31628876/295064953*c_1100_1 + 362021372/295064953, c_1100_1^11 + c_1100_1^10 + 2*c_1100_1^9 - 7*c_1100_1^8 - 27*c_1100_1^7 - 28*c_1100_1^6 - 15*c_1100_1^5 - 28*c_1100_1^4 + 32*c_1100_1^3 + 41*c_1100_1^2 - 5*c_1100_1 - 19 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.710 Total time: 0.920 seconds, Total memory usage: 32.09MB