Magma V2.19-8 Tue Aug 20 2013 23:55:34 on localhost [Seed = 2067600188] Type ? for help. Type -D to quit. Loading file "K12n654__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n654 geometric_solution 12.16252696 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 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 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 0 0 0 0 0.665894556979 0.689687082753 0 5 2 6 0132 0132 2031 0132 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 -8 8 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 0.594446485050 0.455339704875 7 0 8 1 0132 0132 0132 1302 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 0 1 -8 0 0 8 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.209001251311 0.501783724979 7 5 9 0 2031 1302 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 -1 1 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.619112108728 0.772108832738 10 6 0 5 0132 1302 0132 1302 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 -7 0 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568888893624 1.174345793070 11 1 4 3 0132 0132 2031 2031 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 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.742517759307 0.780158785871 7 11 1 4 1023 0132 0132 2031 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 8 -8 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 1.193231255662 1.012547028237 2 6 3 8 0132 1023 1302 0321 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 1 0 0 -1 0 0 0 0 8 -1 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.220148969894 1.499854511687 12 7 10 2 0132 0321 1230 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 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.688214894561 0.779999706668 10 12 11 3 2103 3201 1230 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 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 0 0 0 0 0.513264196862 0.804030680855 4 12 9 8 0132 1302 2103 3012 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 1 -1 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.029205257457 0.713179045797 5 6 12 9 0132 0132 2310 3012 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 -8 8 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 0.759579311219 0.655011517956 8 11 9 10 0132 3201 2310 2031 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 1 -8 0 7 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.504718625269 0.387018830483 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_0011_9'], 'c_1001_12' : negation(d['c_0101_11']), 'c_1001_5' : negation(d['c_0101_10']), 'c_1001_4' : d['c_0110_6'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0101_10']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_11'], 'c_1001_2' : d['c_0110_6'], 'c_1001_9' : negation(d['c_0011_12']), 'c_1001_8' : d['c_0101_3'], 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : negation(d['c_0011_9']), '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_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : d['c_0101_5'], 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : negation(d['c_1001_0']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_0101_1'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_5'], 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : negation(d['c_0101_3']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_10']), 'c_1010_0' : d['c_0110_6'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_0110_6'], 'c_1100_8' : d['c_0101_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'], 'c_1100_12' : d['c_0011_9'], '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' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], '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_0110_11' : d['c_0101_5'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0011_9'], 'c_0101_12' : d['c_0011_12'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0011_9'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0011_12'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_12'], 'c_0110_6' : d['c_0110_6']})} 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_12, c_0011_3, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_3, c_0101_5, c_0110_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 129624431837/3783485*c_1001_0^10 - 68862498174/3783485*c_1001_0^9 - 295836885662/3783485*c_1001_0^8 - 286785129076/3783485*c_1001_0^7 - 281990010559/3783485*c_1001_0^6 + 239065745818/3783485*c_1001_0^5 - 52375585418/756697*c_1001_0^4 + 231427632705/756697*c_1001_0^3 + 355454551201/3783485*c_1001_0^2 - 459226827668/3783485*c_1001_0 - 243996120641/3783485, c_0011_0 - 1, c_0011_10 + 342/269*c_1001_0^10 + 232/269*c_1001_0^9 + 887/269*c_1001_0^8 + 950/269*c_1001_0^7 + 1106/269*c_1001_0^6 - 260/269*c_1001_0^5 + 933/269*c_1001_0^4 - 2839/269*c_1001_0^3 - 1094/269*c_1001_0^2 + 551/269*c_1001_0 + 314/269, c_0011_12 + 314/269*c_1001_0^10 + 342/269*c_1001_0^9 + 860/269*c_1001_0^8 + 1201/269*c_1001_0^7 + 1264/269*c_1001_0^6 + 164/269*c_1001_0^5 + 682/269*c_1001_0^4 - 2207/269*c_1001_0^3 - 2211/269*c_1001_0^2 + 476/269*c_1001_0 + 551/269, c_0011_3 - 155/269*c_1001_0^10 - 102/269*c_1001_0^9 - 332/269*c_1001_0^8 - 311/269*c_1001_0^7 - 259/269*c_1001_0^6 + 541/269*c_1001_0^5 + 42/269*c_1001_0^4 + 1654/269*c_1001_0^3 + 801/269*c_1001_0^2 - 444/269*c_1001_0 - 523/269, c_0011_9 - 653/269*c_1001_0^10 - 605/269*c_1001_0^9 - 1869/269*c_1001_0^8 - 2322/269*c_1001_0^7 - 2752/269*c_1001_0^6 - 449/269*c_1001_0^5 - 2251/269*c_1001_0^4 + 4594/269*c_1001_0^3 + 2781/269*c_1001_0^2 - 529/269*c_1001_0 - 900/269, c_0101_0 + 583/269*c_1001_0^10 + 342/269*c_1001_0^9 + 1398/269*c_1001_0^8 + 1470/269*c_1001_0^7 + 1533/269*c_1001_0^6 - 643/269*c_1001_0^5 + 1489/269*c_1001_0^4 - 4897/269*c_1001_0^3 - 1673/269*c_1001_0^2 + 1552/269*c_1001_0 + 551/269, c_0101_1 - 187/269*c_1001_0^10 - 130/269*c_1001_0^9 - 555/269*c_1001_0^8 - 639/269*c_1001_0^7 - 847/269*c_1001_0^6 - 281/269*c_1001_0^5 - 975/269*c_1001_0^4 + 1185/269*c_1001_0^3 + 293/269*c_1001_0^2 - 107/269*c_1001_0 + 209/269, c_0101_10 + 713/269*c_1001_0^10 + 523/269*c_1001_0^9 + 1850/269*c_1001_0^8 + 2130/269*c_1001_0^7 + 2375/269*c_1001_0^6 - 229/269*c_1001_0^5 + 2174/269*c_1001_0^4 - 5564/269*c_1001_0^3 - 2501/269*c_1001_0^2 + 1343/269*c_1001_0 + 738/269, c_0101_11 + 133/269*c_1001_0^10 + 150/269*c_1001_0^9 + 330/269*c_1001_0^8 + 489/269*c_1001_0^7 + 460/269*c_1001_0^6 - 131/269*c_1001_0^5 + 49/269*c_1001_0^4 - 1119/269*c_1001_0^3 - 1352/269*c_1001_0^2 + 289/269*c_1001_0 + 421/269, c_0101_3 - 583/269*c_1001_0^10 - 611/269*c_1001_0^9 - 1667/269*c_1001_0^8 - 2277/269*c_1001_0^7 - 2609/269*c_1001_0^6 - 702/269*c_1001_0^5 - 2027/269*c_1001_0^4 + 3552/269*c_1001_0^3 + 3287/269*c_1001_0^2 - 745/269*c_1001_0 - 551/269, c_0101_5 + 713/269*c_1001_0^10 + 523/269*c_1001_0^9 + 1850/269*c_1001_0^8 + 2130/269*c_1001_0^7 + 2375/269*c_1001_0^6 - 229/269*c_1001_0^5 + 2174/269*c_1001_0^4 - 5564/269*c_1001_0^3 - 2501/269*c_1001_0^2 + 1343/269*c_1001_0 + 738/269, c_0110_6 - 1, c_1001_0^11 + 2*c_1001_0^9 + c_1001_0^8 + c_1001_0^7 - 3*c_1001_0^6 + 3*c_1001_0^5 - 10*c_1001_0^4 + 2*c_1001_0^3 + 5*c_1001_0^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 5.670 Total time: 5.879 seconds, Total memory usage: 141.56MB