Magma V2.19-8 Tue Aug 20 2013 23:44:06 on localhost [Seed = 391213817] Type ? for help. Type -D to quit. Loading file "L14n18613__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n18613 geometric_solution 10.77333069 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 0 0 1 2 1302 2031 0132 0132 1 1 1 1 0 0 0 0 -1 0 1 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 0 -1 0 0 0 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.514084710989 0.502999237794 3 2 4 0 0132 3012 0132 0132 1 1 1 1 0 0 0 0 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 0 0 0 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 1.006198851906 0.972371302482 1 5 0 6 1230 0132 0132 0132 1 1 1 1 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 -1 0 0 1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.006198851906 0.972371302482 1 5 5 7 0132 3012 1230 0132 1 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 0.660049096869 0.771073745961 8 9 9 1 0132 0132 2103 0132 1 1 1 1 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 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 0.458412566966 0.733752987336 3 2 9 3 1230 0132 0321 3012 1 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 0.660049096869 0.771073745961 7 10 2 10 3120 0132 0132 1230 1 1 0 1 0 0 0 0 0 0 1 -1 0 1 0 -1 -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 1 -2 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.458412566966 0.733752987336 8 8 3 6 2103 1302 0132 3120 1 1 0 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 0 0 0 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 0.651173096924 0.882221735582 4 10 7 7 0132 3201 2103 2031 0 1 1 1 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 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 0.651173096924 0.882221735582 4 4 5 10 2103 0132 0321 0213 1 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 0.387587429276 0.980251384085 6 6 8 9 3012 0132 2310 0213 1 1 1 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 0 0 0 0 1 0 -1 0 -1 1 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.651173096924 0.882221735582 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_7']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_7' : d['c_0101_4'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : d['c_0011_0'], 'c_1001_9' : negation(d['c_0011_2']), 'c_1001_8' : d['c_0011_7'], 'c_1010_10' : d['c_1001_5'], 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_7']), '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_10' : 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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_5'], 'c_1100_8' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : d['c_0110_10'], 'c_1100_7' : negation(d['c_0011_1']), 'c_1100_6' : d['c_0110_10'], 'c_1100_1' : d['c_0110_10'], 'c_1100_0' : d['c_0110_10'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0110_10'], 'c_1100_10' : negation(d['c_0011_4']), 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_1001_5'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : negation(d['c_0011_4']), 'c_1010_8' : d['c_0011_7'], '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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(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' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_2'], 'c_0110_10' : d['c_0110_10'], 'c_0101_7' : d['c_0101_1'], 'c_0101_6' : d['c_0011_1'], 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_9' : d['c_0101_4'], 'c_0101_8' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0110_10']), 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : negation(d['c_0011_1']), 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_10, c_0011_2, c_0011_4, c_0011_7, c_0101_1, c_0101_2, c_0101_4, c_0110_10, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 7011260301/3874847968*c_1001_5^10 + 8489633891/1937423984*c_1001_5^9 - 126693264443/3874847968*c_1001_5^8 - 203525969979/1937423984*c_1001_5^7 - 46666235343/1937423984*c_1001_5^6 - 639515963935/3874847968*c_1001_5^5 - 396120384947/3874847968*c_1001_5^4 - 886147309729/3874847968*c_1001_5^3 - 266168858495/3874847968*c_1001_5^2 - 263381624637/3874847968*c_1001_5 - 974124002/121088999, c_0011_0 - 1, c_0011_1 - 10111257/968711992*c_1001_5^10 + 43996175/968711992*c_1001_5^9 + 330978497/968711992*c_1001_5^8 - 355137489/484355996*c_1001_5^7 - 3539587601/968711992*c_1001_5^6 + 703269407/484355996*c_1001_5^5 - 2469061027/484355996*c_1001_5^4 - 2320281923/968711992*c_1001_5^3 - 1380952341/242177998*c_1001_5^2 - 166154637/242177998*c_1001_5 - 197518643/121088999, c_0011_10 + 1, c_0011_2 - 10111257/968711992*c_1001_5^10 + 43996175/968711992*c_1001_5^9 + 330978497/968711992*c_1001_5^8 - 355137489/484355996*c_1001_5^7 - 3539587601/968711992*c_1001_5^6 + 703269407/484355996*c_1001_5^5 - 2469061027/484355996*c_1001_5^4 - 2320281923/968711992*c_1001_5^3 - 1380952341/242177998*c_1001_5^2 - 166154637/242177998*c_1001_5 - 197518643/121088999, c_0011_4 + 132697267/484355996*c_1001_5^10 + 525494967/968711992*c_1001_5^9 - 5131844461/968711992*c_1001_5^8 - 13325979933/968711992*c_1001_5^7 + 1109912631/242177998*c_1001_5^6 - 21289303967/968711992*c_1001_5^5 - 4487416989/484355996*c_1001_5^4 - 2804670653/121088999*c_1001_5^3 + 1510599527/968711992*c_1001_5^2 - 1556753527/242177998*c_1001_5 + 4730164/121088999, c_0011_7 + 54748761/968711992*c_1001_5^10 + 60963997/242177998*c_1001_5^9 - 395253975/484355996*c_1001_5^8 - 5367541581/968711992*c_1001_5^7 - 5887727489/968711992*c_1001_5^6 - 2143893207/968711992*c_1001_5^5 - 3163818397/242177998*c_1001_5^4 - 9022330959/968711992*c_1001_5^3 - 11609337895/968711992*c_1001_5^2 - 113720139/242177998*c_1001_5 - 393691074/121088999, c_0101_1 + c_1001_5, c_0101_2 - 88216515/484355996*c_1001_5^10 - 403396157/968711992*c_1001_5^9 + 3309638923/968711992*c_1001_5^8 + 9913343307/968711992*c_1001_5^7 - 41404940/121088999*c_1001_5^6 + 13039928569/968711992*c_1001_5^5 + 5178671765/484355996*c_1001_5^4 + 1971567239/121088999*c_1001_5^3 + 3138478519/968711992*c_1001_5^2 + 922828775/242177998*c_1001_5 + 82109791/121088999, c_0101_4 + 18821727/968711992*c_1001_5^10 + 11244915/968711992*c_1001_5^9 - 407939835/968711992*c_1001_5^8 - 207948279/484355996*c_1001_5^7 + 1497141315/968711992*c_1001_5^6 - 1271442211/484355996*c_1001_5^5 + 507408313/484355996*c_1001_5^4 - 1033318907/968711992*c_1001_5^3 + 315299793/242177998*c_1001_5^2 - 120789945/121088999*c_1001_5 + 21979937/121088999, c_0110_10 - 18821727/968711992*c_1001_5^10 - 11244915/968711992*c_1001_5^9 + 407939835/968711992*c_1001_5^8 + 207948279/484355996*c_1001_5^7 - 1497141315/968711992*c_1001_5^6 + 1271442211/484355996*c_1001_5^5 - 507408313/484355996*c_1001_5^4 + 1033318907/968711992*c_1001_5^3 - 315299793/242177998*c_1001_5^2 + 120789945/121088999*c_1001_5 - 21979937/121088999, c_1001_5^11 + 2*c_1001_5^10 - 19*c_1001_5^9 - 50*c_1001_5^8 + 10*c_1001_5^7 - 95*c_1001_5^6 - 31*c_1001_5^5 - 109*c_1001_5^4 - 7*c_1001_5^3 - 49*c_1001_5^2 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB