Magma V2.19-8 Tue Aug 20 2013 23:46:07 on localhost [Seed = 2295262580] Type ? for help. Type -D to quit. Loading file "K14n13641__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n13641 geometric_solution 10.89071391 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 10 0 0 -10 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.722448117385 1.151962311319 0 5 4 6 0132 0132 1230 0132 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 -11 10 1 -10 0 10 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 0.365929887139 0.324373917728 7 0 9 8 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 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 0.264187163159 0.724280022200 6 9 5 0 0132 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.637951652053 0.860432690281 7 10 0 1 3012 0132 0132 3012 0 0 0 0 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 -1 1 0 0 10 -10 -1 11 0 -10 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.363164828289 1.168384459664 10 1 7 3 3201 0132 0321 1302 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 -1 0 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 -0.114831287639 2.343901848634 3 11 1 8 0132 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.415467772983 0.987387611794 2 10 5 4 0132 3201 0321 1230 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 -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 0.887561611097 0.823618923382 10 11 2 6 0132 0321 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.690254596748 0.679435842411 11 3 11 2 0213 0132 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.027615962275 1.054785770973 8 4 7 5 0132 0132 2310 2310 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 -1 1 0 -1 0 1 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.394616130939 0.561770139938 9 6 9 8 0213 0132 0321 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.027615962275 1.054785770973 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0101_1']), 'c_1001_5' : d['c_0110_4'], 'c_1001_4' : negation(d['c_0110_5']), 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : d['c_0110_4'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0110_5']), 'c_1001_2' : negation(d['c_0110_5']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_0110_4'], 'c_1010_10' : negation(d['c_0110_5']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_11']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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_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_1100_9' : d['c_1001_11'], 'c_1100_8' : d['c_1001_11'], 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : d['c_0110_4'], 'c_1100_6' : d['c_0110_4'], 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : d['c_1001_11'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_0'], 'c_1100_10' : d['c_0011_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0110_4'], 'c_1010_0' : negation(d['c_0110_5']), 'c_1010_9' : negation(d['c_0110_5']), 'c_1010_8' : d['c_0110_4'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : negation(d['c_0011_10']), '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' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_10'], 'c_0110_10' : negation(d['c_0101_5']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0101_5']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_10']), 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : negation(d['c_0101_5']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0101_10'], '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_5']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : negation(d['c_0101_10'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_0110_4, c_0110_5, c_1001_0, c_1001_1, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 2006/7*c_1001_11^3 - 9152/7*c_1001_11^2 - 13148/7*c_1001_11 - 7300/7, c_0011_0 - 1, c_0011_10 + 1/2*c_1001_11^3 + 3/2*c_1001_11^2 + c_1001_11 - 1, c_0011_11 - c_1001_11^3 - 2*c_1001_11^2 - c_1001_11 + 1, c_0101_0 - 1/2*c_1001_11^3 - c_1001_11^2 - c_1001_11, c_0101_1 + 1/2*c_1001_11^3 + 1/2*c_1001_11^2 - c_1001_11, c_0101_10 - 1, c_0101_5 - c_1001_11 - 1, c_0110_4 + 1/2*c_1001_11^3 + c_1001_11^2, c_0110_5 + 1/2*c_1001_11^3 + c_1001_11^2, c_1001_0 - c_1001_11, c_1001_1 + 1/2*c_1001_11^3 + 3/2*c_1001_11^2, c_1001_11^4 + 4*c_1001_11^3 + 4*c_1001_11^2 - 2 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_0110_4, c_0110_5, c_1001_0, c_1001_1, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 1/3*c_1001_11^4 - 13/3*c_1001_11^3 - 7/3*c_1001_11^2 - 31/3*c_1001_11 - 10/3, c_0011_0 - 1, c_0011_10 - 3/4*c_1001_11^4 - 2*c_1001_11^3 - 3*c_1001_11^2 - 11/4*c_1001_11 - 7/4, c_0011_11 + c_1001_11^4 + 2*c_1001_11^3 + 3*c_1001_11^2 + 3*c_1001_11 + 1, c_0101_0 + 1/2*c_1001_11^4 - 1/2*c_1001_11 - 3/2, c_0101_1 + 3/4*c_1001_11^4 + c_1001_11^3 + 2*c_1001_11^2 + 7/4*c_1001_11 + 3/4, c_0101_10 - 1, c_0101_5 + c_1001_11^2 + 2*c_1001_11 + 1, c_0110_4 + 1/2*c_1001_11^4 + c_1001_11^3 + 2*c_1001_11^2 + 3/2*c_1001_11 + 1/2, c_0110_5 + 1/2*c_1001_11^4 + c_1001_11^3 + 2*c_1001_11^2 + 3/2*c_1001_11 + 1/2, c_1001_0 - c_1001_11, c_1001_1 + 3/4*c_1001_11^4 + c_1001_11^3 + 2*c_1001_11^2 + 7/4*c_1001_11 + 3/4, c_1001_11^5 + 2*c_1001_11^4 + 4*c_1001_11^3 + 5*c_1001_11^2 + 3*c_1001_11 + 2 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_0110_4, c_0110_5, c_1001_0, c_1001_1, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 131425179457/127104047*c_1001_11^9 - 175901069202/18157721*c_1001_11^8 - 3823161409331/127104047*c_1001_11^7 - 3635857999411/127104047*c_1001_11^6 + 315549073029/127104047*c_1001_11^5 + 1113292797907/127104047*c_1001_11^4 + 3771072436485/127104047*c_1001_11^3 + 1561899829219/127104047*c_1001_11^2 - 1238189765222/127104047*c_1001_11 - 1459296903713/127104047, c_0011_0 - 1, c_0011_10 - 2191292/18157721*c_1001_11^9 - 20447758/18157721*c_1001_11^8 - 62378476/18157721*c_1001_11^7 - 52440931/18157721*c_1001_11^6 + 27801788/18157721*c_1001_11^5 + 49576379/18157721*c_1001_11^4 + 91323623/18157721*c_1001_11^3 + 37936016/18157721*c_1001_11^2 - 29551628/18157721*c_1001_11 - 29311045/18157721, c_0011_11 + 1842770/18157721*c_1001_11^9 + 17576011/18157721*c_1001_11^8 + 56189915/18157721*c_1001_11^7 + 57794209/18157721*c_1001_11^6 + 2201705/18157721*c_1001_11^5 - 2162501/18157721*c_1001_11^4 - 27404854/18157721*c_1001_11^3 - 17971171/18157721*c_1001_11^2 + 14708444/18157721*c_1001_11 + 15794000/18157721, c_0101_0 - 2741949/18157721*c_1001_11^9 - 25936438/18157721*c_1001_11^8 - 81214598/18157721*c_1001_11^7 - 75056403/18157721*c_1001_11^6 + 23530943/18157721*c_1001_11^5 + 42921268/18157721*c_1001_11^4 + 79233196/18157721*c_1001_11^3 + 56473615/18157721*c_1001_11^2 - 25412620/18157721*c_1001_11 - 20635971/18157721, c_0101_1 + 1123822/18157721*c_1001_11^9 + 9574212/18157721*c_1001_11^8 + 23295427/18157721*c_1001_11^7 - 1300415/18157721*c_1001_11^6 - 47278749/18157721*c_1001_11^5 - 42994928/18157721*c_1001_11^4 - 66730216/18157721*c_1001_11^3 - 13386108/18157721*c_1001_11^2 + 9568535/18157721*c_1001_11 + 17185142/18157721, c_0101_10 - 1732537/18157721*c_1001_11^9 - 15867627/18157721*c_1001_11^8 - 47734375/18157721*c_1001_11^7 - 44917629/18157721*c_1001_11^6 - 12126919/18157721*c_1001_11^5 - 17614102/18157721*c_1001_11^4 + 41678633/18157721*c_1001_11^3 + 6001961/18157721*c_1001_11^2 - 4004093/18157721*c_1001_11 + 276684/18157721, c_0101_5 + 1605950/18157721*c_1001_11^9 + 15233608/18157721*c_1001_11^8 + 47393401/18157721*c_1001_11^7 + 40533507/18157721*c_1001_11^6 - 23378115/18157721*c_1001_11^5 - 25433651/18157721*c_1001_11^4 - 33289708/18157721*c_1001_11^3 - 33242637/18157721*c_1001_11^2 + 21502987/18157721*c_1001_11 + 16653506/18157721, c_0110_4 - 68529/18157721*c_1001_11^9 + 170716/18157721*c_1001_11^8 + 5261852/18157721*c_1001_11^7 + 19218450/18157721*c_1001_11^6 + 19629789/18157721*c_1001_11^5 + 10906166/18157721*c_1001_11^4 + 21350081/18157721*c_1001_11^3 - 1318930/18157721*c_1001_11^2 - 2084261/18157721*c_1001_11 + 8143438/18157721, c_0110_5 + 4711306/18157721*c_1001_11^9 + 44146468/18157721*c_1001_11^8 + 137745487/18157721*c_1001_11^7 + 137234734/18157721*c_1001_11^6 + 14175796/18157721*c_1001_11^5 - 2036016/18157721*c_1001_11^4 - 115026975/18157721*c_1001_11^3 - 47204110/18157721*c_1001_11^2 + 40779891/18157721*c_1001_11 + 37657502/18157721, c_1001_0 + 1360642/18157721*c_1001_11^9 + 11916615/18157721*c_1001_11^8 + 32091941/18157721*c_1001_11^7 + 15960287/18157721*c_1001_11^6 - 21698929/18157721*c_1001_11^5 - 19723778/18157721*c_1001_11^4 - 60845362/18157721*c_1001_11^3 + 1885358/18157721*c_1001_11^2 + 20931713/18157721*c_1001_11 + 16325636/18157721, c_1001_1 + 1123822/18157721*c_1001_11^9 + 9574212/18157721*c_1001_11^8 + 23295427/18157721*c_1001_11^7 - 1300415/18157721*c_1001_11^6 - 47278749/18157721*c_1001_11^5 - 42994928/18157721*c_1001_11^4 - 66730216/18157721*c_1001_11^3 - 13386108/18157721*c_1001_11^2 + 9568535/18157721*c_1001_11 + 17185142/18157721, c_1001_11^10 + 10*c_1001_11^9 + 35*c_1001_11^8 + 46*c_1001_11^7 + 15*c_1001_11^6 - 10*c_1001_11^5 - 34*c_1001_11^4 - 30*c_1001_11^3 + 2*c_1001_11^2 + 17*c_1001_11 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.280 Total time: 2.490 seconds, Total memory usage: 64.12MB