Magma V2.19-8 Wed Aug 21 2013 00:51:38 on localhost [Seed = 3751398054] Type ? for help. Type -D to quit. Loading file "L11n186__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n186 geometric_solution 12.46621386 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 1 0 0 0 0 0 0 0 0 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 1 0 -1 1 0 0 -1 2 0 0 -2 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.169179039997 0.668318886086 0 4 6 5 0132 1302 0132 0132 1 1 0 1 0 0 0 0 0 0 0 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 1 -1 0 -1 0 0 1 -2 1 0 1 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.333406193645 0.819380458043 3 0 7 5 2103 0132 0132 2031 0 1 0 1 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 -1 1 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 0.369908283515 1.106148144270 6 8 2 0 0132 0132 2103 0132 0 1 0 1 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 -1 -1 0 2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.369908283515 1.106148144270 7 8 0 1 0132 0321 0132 2031 0 1 1 1 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 1 -1 0 0 1 -1 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.333406193645 0.819380458043 8 2 1 9 2103 1302 0132 0132 1 1 0 0 0 0 0 0 -1 0 0 1 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 2 0 -1 -1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.054089808073 1.022189898458 3 10 11 1 0132 0132 0132 0132 1 1 1 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 -1 1 0 0 0 0 1 1 0 -2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.299607130513 1.510261386787 4 9 12 2 0132 3012 0132 0132 0 1 1 1 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 1 -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 0.299607130513 1.510261386787 11 3 5 4 0132 0132 2103 0321 0 1 1 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 -2 2 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.487678530269 0.527005704760 7 12 5 11 1230 1230 0132 0132 1 1 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 -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 0.574457303531 0.577378754303 11 6 12 12 1023 0132 1302 3201 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 1 0 0 -1 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.134028463496 0.870375507344 8 10 9 6 0132 1023 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 -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 0.134028463496 0.870375507344 10 10 9 7 2031 2310 3012 0132 0 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 1 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 0.134028463496 0.870375507344 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : negation(d['c_0011_12']), 'c_1001_10' : d['c_0101_7'], 'c_1001_12' : negation(d['c_0011_9']), 'c_1001_5' : d['c_0110_2'], 'c_1001_4' : negation(d['c_0101_9']), 'c_1001_7' : negation(d['c_0011_9']), 'c_1001_6' : d['c_0011_9'], 'c_1001_1' : d['c_0101_7'], 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0101_9']), 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : d['c_0011_5'], 'c_1010_12' : negation(d['c_0011_9']), 'c_1010_11' : d['c_0011_9'], 'c_1010_10' : d['c_0011_9'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : negation(d['c_0011_12']), 'c_0101_11' : negation(d['c_0011_4']), 'c_0101_10' : negation(d['c_0011_12']), '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_10'], 'c_1100_8' : negation(d['c_0101_9']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_0110_2']), 'c_1100_7' : negation(d['c_1001_9']), 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0110_2']), 'c_1100_3' : negation(d['c_0110_2']), 'c_1100_2' : negation(d['c_1001_9']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : negation(d['c_0011_12']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_9']), 'c_1010_6' : d['c_0101_7'], 'c_1010_5' : d['c_1001_9'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_0110_2'], 'c_1010_0' : negation(d['c_0101_9']), 'c_1010_9' : negation(d['c_0011_12']), 'c_1010_8' : negation(d['c_0011_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' : negation(d['c_1001_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_10']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), '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' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_0'], 'c_0110_10' : d['c_0011_9'], 'c_0110_12' : d['c_0101_7'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], '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_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_4']), 'c_0110_8' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_9'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_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_12, c_0011_4, c_0011_5, c_0011_9, c_0101_0, c_0101_1, c_0101_7, c_0101_9, c_0110_2, c_1001_9, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 11/20*c_1100_1^3 - 297/20*c_1100_1^2 + 199/5*c_1100_1 - 427/5, c_0011_0 - 1, c_0011_10 + 1/8*c_1100_1^3 - 5/8*c_1100_1^2 + 9/8*c_1100_1 - 3/4, c_0011_12 + 1/4*c_1100_1^3 - 1/4*c_1100_1^2 + 1/4*c_1100_1 - 1/2, c_0011_4 - 1/4*c_1100_1^3 + 1/4*c_1100_1^2 - 5/4*c_1100_1 + 1/2, c_0011_5 + 1/8*c_1100_1^3 - 3/8*c_1100_1^2 + 3/8*c_1100_1, c_0011_9 - 1/8*c_1100_1^3 + 1/8*c_1100_1^2 - 5/8*c_1100_1 + 1/4, c_0101_0 - 1/8*c_1100_1^3 + 1/8*c_1100_1^2 + 3/8*c_1100_1 - 3/4, c_0101_1 - 1, c_0101_7 + 1, c_0101_9 + 3/8*c_1100_1^3 - 7/8*c_1100_1^2 + 11/8*c_1100_1 - 1/4, c_0110_2 + 1/8*c_1100_1^3 - 1/8*c_1100_1^2 + 5/8*c_1100_1 + 3/4, c_1001_9 - 1/8*c_1100_1^3 + 5/8*c_1100_1^2 - 9/8*c_1100_1 + 3/4, c_1100_1^4 - 3*c_1100_1^3 + 7*c_1100_1^2 - 4*c_1100_1 + 4 ], 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_4, c_0011_5, c_0011_9, c_0101_0, c_0101_1, c_0101_7, c_0101_9, c_0110_2, c_1001_9, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 6151655/175616*c_1100_1^7 + 15433251/351232*c_1100_1^6 - 44598149/702464*c_1100_1^5 + 9699269/175616*c_1100_1^4 - 62784591/702464*c_1100_1^3 + 8660493/87808*c_1100_1^2 + 1256517/100352*c_1100_1 + 14136489/702464, c_0011_0 - 1, c_0011_10 - 335/343*c_1100_1^7 + 1051/686*c_1100_1^6 - 2717/1372*c_1100_1^5 + 741/343*c_1100_1^4 - 4923/1372*c_1100_1^3 + 1180/343*c_1100_1^2 - 263/196*c_1100_1 + 1921/1372, c_0011_12 - 466/343*c_1100_1^7 + 817/343*c_1100_1^6 - 2287/686*c_1100_1^5 + 1341/343*c_1100_1^4 - 3293/686*c_1100_1^3 + 1923/343*c_1100_1^2 - 125/98*c_1100_1 + 603/686, c_0011_4 + c_1100_1, c_0011_5 + 227/686*c_1100_1^7 - 319/1372*c_1100_1^6 + 809/2744*c_1100_1^5 - 283/686*c_1100_1^4 + 2955/2744*c_1100_1^3 + 20/343*c_1100_1^2 + 359/392*c_1100_1 - 2301/2744, c_0011_9 + 23/343*c_1100_1^7 + 149/686*c_1100_1^6 - 51/1372*c_1100_1^5 - 142/343*c_1100_1^4 - 305/1372*c_1100_1^3 - 209/343*c_1100_1^2 - 113/196*c_1100_1 - 1037/1372, c_0101_0 + 443/686*c_1100_1^7 - 1783/1372*c_1100_1^6 + 4625/2744*c_1100_1^5 - 1199/686*c_1100_1^4 + 6891/2744*c_1100_1^3 - 1200/343*c_1100_1^2 + 167/392*c_1100_1 - 1541/2744, c_0101_1 - 1, c_0101_7 + 992/343*c_1100_1^7 - 1380/343*c_1100_1^6 + 1866/343*c_1100_1^5 - 1755/343*c_1100_1^4 + 2766/343*c_1100_1^3 - 3228/343*c_1100_1^2 - 19/49*c_1100_1 - 474/343, c_0101_9 + 443/686*c_1100_1^7 - 1783/1372*c_1100_1^6 + 4625/2744*c_1100_1^5 - 1199/686*c_1100_1^4 + 6891/2744*c_1100_1^3 - 1200/343*c_1100_1^2 + 167/392*c_1100_1 - 1541/2744, c_0110_2 - 1, c_1001_9 + 335/343*c_1100_1^7 - 1051/686*c_1100_1^6 + 2717/1372*c_1100_1^5 - 741/343*c_1100_1^4 + 4923/1372*c_1100_1^3 - 1180/343*c_1100_1^2 + 263/196*c_1100_1 - 1921/1372, c_1100_1^8 - 3/2*c_1100_1^7 + 9/4*c_1100_1^6 - 9/4*c_1100_1^5 + 13/4*c_1100_1^4 - 15/4*c_1100_1^3 + 3/4*c_1100_1^2 - c_1100_1 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.440 Total time: 0.640 seconds, Total memory usage: 64.12MB