Magma V2.19-8 Wed Aug 21 2013 00:31:19 on localhost [Seed = 3187387678] Type ? for help. Type -D to quit. Loading file "K14n18085__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n18085 geometric_solution 11.33161702 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 -1 1 21 0 -22 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 1.020770843978 1.329303530382 0 4 3 5 0132 1302 3120 0132 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 -21 0 21 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 -0.286182734041 0.551448560532 2 0 2 4 2310 0132 3201 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.273654664164 0.705770316943 6 7 1 0 0132 0132 3120 0132 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 -1 0 1 -1 0 -21 22 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.399624151698 0.973805632317 5 2 0 1 1023 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.636609748750 0.473226627448 8 4 1 9 0132 1023 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 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 0.458740404868 0.744073885209 3 10 8 11 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 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 0.312072677023 1.236114521461 10 3 12 9 0132 0132 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.312072677023 1.236114521461 5 12 10 6 0132 3120 3120 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 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 0.807998811612 0.760513414272 10 7 5 11 3120 2310 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.807998811612 0.760513414272 7 6 8 9 0132 0132 3120 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.451979735874 0.370601859792 9 12 6 12 3120 0213 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.548020264126 0.370601859792 11 8 11 7 3120 3120 0213 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 1 0 -1 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 0.548020264126 0.370601859792 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_1001_10'], 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_7' : d['c_0011_4'], 'c_1001_6' : negation(d['c_0011_12']), 'c_1001_1' : d['c_0110_4'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : negation(d['c_0101_2']), 'c_1001_9' : d['c_0110_4'], 'c_1001_8' : negation(d['c_1001_10']), 'c_1010_12' : d['c_0011_4'], 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : negation(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' : d['c_0011_11'], '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_11'], 'c_1100_8' : negation(d['c_0011_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_11']), 'c_1100_4' : negation(d['c_0101_1']), 'c_1100_7' : negation(d['c_0011_12']), 'c_1100_6' : negation(d['c_0011_11']), 'c_1100_1' : negation(d['c_0101_11']), 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : d['c_0011_0'], 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0101_11']), 'c_1100_11' : negation(d['c_0011_11']), 'c_1100_10' : negation(d['c_0101_8']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0110_4']), 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_0110_4'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_2']), 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : negation(d['c_0011_12']), '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_0011_12']), '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' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), '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_7'], 'c_0110_10' : d['c_0101_7'], 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : d['c_0011_11'], '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_11'], '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_8'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_7'], 'c_0110_8' : d['c_0101_0'], '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_0101_2']), 'c_0110_5' : d['c_0101_8'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_11'], 'c_0110_6' : d['c_0101_11']})} 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_4, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_7, c_0101_8, c_0110_4, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 104389632/1717*c_1001_10^5 + 228284416/1717*c_1001_10^4 + 209006848/1717*c_1001_10^3 + 6999040/101*c_1001_10^2 - 18402176/1717*c_1001_10 - 150412480/1717, c_0011_0 - 1, c_0011_10 - 800/1717*c_1001_10^5 - 1372/1717*c_1001_10^4 - 912/1717*c_1001_10^3 + 16/101*c_1001_10^2 - 233/1717*c_1001_10 + 668/1717, c_0011_11 - 800/1717*c_1001_10^5 - 1372/1717*c_1001_10^4 - 912/1717*c_1001_10^3 + 16/101*c_1001_10^2 + 1484/1717*c_1001_10 + 668/1717, c_0011_12 + 800/1717*c_1001_10^5 + 1372/1717*c_1001_10^4 + 912/1717*c_1001_10^3 - 16/101*c_1001_10^2 - 1484/1717*c_1001_10 - 668/1717, c_0011_4 - 304/1717*c_1001_10^5 - 384/1717*c_1001_10^4 - 896/1717*c_1001_10^3 - 2/101*c_1001_10^2 + 976/1717*c_1001_10 - 639/1717, c_0101_0 + 800/1717*c_1001_10^5 + 1372/1717*c_1001_10^4 + 912/1717*c_1001_10^3 - 16/101*c_1001_10^2 + 233/1717*c_1001_10 - 668/1717, c_0101_1 + 56/101*c_1001_10^5 + 92/101*c_1001_10^4 + 80/101*c_1001_10^3 + 86/101*c_1001_10^2 - 15/101*c_1001_10 - 71/101, c_0101_11 - 304/1717*c_1001_10^5 - 384/1717*c_1001_10^4 - 896/1717*c_1001_10^3 - 2/101*c_1001_10^2 + 976/1717*c_1001_10 - 639/1717, c_0101_2 + 1296/1717*c_1001_10^5 + 2360/1717*c_1001_10^4 + 928/1717*c_1001_10^3 - 34/101*c_1001_10^2 - 1992/1717*c_1001_10 - 1975/1717, c_0101_7 + 1600/1717*c_1001_10^5 + 2744/1717*c_1001_10^4 + 1824/1717*c_1001_10^3 - 32/101*c_1001_10^2 - 1251/1717*c_1001_10 - 1336/1717, c_0101_8 + 800/1717*c_1001_10^5 + 1372/1717*c_1001_10^4 + 912/1717*c_1001_10^3 - 16/101*c_1001_10^2 + 233/1717*c_1001_10 - 668/1717, c_0110_4 + 800/1717*c_1001_10^5 + 1372/1717*c_1001_10^4 + 912/1717*c_1001_10^3 - 16/101*c_1001_10^2 + 233/1717*c_1001_10 - 668/1717, c_1001_10^6 + 2*c_1001_10^5 + 3/2*c_1001_10^4 + 1/2*c_1001_10^3 - 3/4*c_1001_10^2 - 7/4*c_1001_10 + 1/16 ], 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_4, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_7, c_0101_8, c_0110_4, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 29493760/195019*c_1001_10^7 - 43561536/195019*c_1001_10^6 + 5442240/195019*c_1001_10^5 + 213662560/195019*c_1001_10^4 - 127070656/195019*c_1001_10^3 - 5931440/195019*c_1001_10^2 - 11593488/195019*c_1001_10 - 5918456/195019, c_0011_0 - 1, c_0011_10 + 5488/17729*c_1001_10^7 - 11440/17729*c_1001_10^6 + 8316/17729*c_1001_10^5 + 35542/17729*c_1001_10^4 - 46082/17729*c_1001_10^3 + 33381/17729*c_1001_10^2 - 4927/17729*c_1001_10 + 1220/17729, c_0011_11 + 5488/17729*c_1001_10^7 - 11440/17729*c_1001_10^6 + 8316/17729*c_1001_10^5 + 35542/17729*c_1001_10^4 - 46082/17729*c_1001_10^3 + 33381/17729*c_1001_10^2 - 22656/17729*c_1001_10 + 1220/17729, c_0011_12 - 5488/17729*c_1001_10^7 + 11440/17729*c_1001_10^6 - 8316/17729*c_1001_10^5 - 35542/17729*c_1001_10^4 + 46082/17729*c_1001_10^3 - 33381/17729*c_1001_10^2 + 22656/17729*c_1001_10 - 1220/17729, c_0011_4 + 1732/17729*c_1001_10^7 + 2282/17729*c_1001_10^6 - 4250/17729*c_1001_10^5 + 10881/17729*c_1001_10^4 + 29469/17729*c_1001_10^3 - 4955/35458*c_1001_10^2 - 21485/35458*c_1001_10 - 39035/70916, c_0101_0 + 5488/17729*c_1001_10^7 - 11440/17729*c_1001_10^6 + 8316/17729*c_1001_10^5 + 35542/17729*c_1001_10^4 - 46082/17729*c_1001_10^3 + 33381/17729*c_1001_10^2 - 4927/17729*c_1001_10 + 1220/17729, c_0101_1 - 10984/17729*c_1001_10^7 + 18038/17729*c_1001_10^6 - 5066/17729*c_1001_10^5 - 77235/17729*c_1001_10^4 + 57962/17729*c_1001_10^3 - 8743/35458*c_1001_10^2 + 32541/35458*c_1001_10 - 16745/70916, c_0101_11 + 1732/17729*c_1001_10^7 + 2282/17729*c_1001_10^6 - 4250/17729*c_1001_10^5 + 10881/17729*c_1001_10^4 + 29469/17729*c_1001_10^3 - 4955/35458*c_1001_10^2 - 21485/35458*c_1001_10 - 39035/70916, c_0101_2 + 8148/17729*c_1001_10^7 - 14814/17729*c_1001_10^6 + 9814/17729*c_1001_10^5 + 50779/17729*c_1001_10^4 - 55935/17729*c_1001_10^3 + 89533/35458*c_1001_10^2 - 66189/35458*c_1001_10 - 39429/70916, c_0101_7 + 10976/17729*c_1001_10^7 - 22880/17729*c_1001_10^6 + 16632/17729*c_1001_10^5 + 71084/17729*c_1001_10^4 - 92164/17729*c_1001_10^3 + 66762/17729*c_1001_10^2 - 27583/17729*c_1001_10 + 2440/17729, c_0101_8 - 5488/17729*c_1001_10^7 + 11440/17729*c_1001_10^6 - 8316/17729*c_1001_10^5 - 35542/17729*c_1001_10^4 + 46082/17729*c_1001_10^3 - 33381/17729*c_1001_10^2 + 4927/17729*c_1001_10 - 1220/17729, c_0110_4 + 5488/17729*c_1001_10^7 - 11440/17729*c_1001_10^6 + 8316/17729*c_1001_10^5 + 35542/17729*c_1001_10^4 - 46082/17729*c_1001_10^3 + 33381/17729*c_1001_10^2 - 4927/17729*c_1001_10 + 1220/17729, c_1001_10^8 - 2*c_1001_10^7 + c_1001_10^6 + 7*c_1001_10^5 - 8*c_1001_10^4 + 5/2*c_1001_10^3 - 5/4*c_1001_10^2 + 1/4*c_1001_10 + 11/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.320 Total time: 2.540 seconds, Total memory usage: 64.12MB