Magma V2.19-8 Wed Aug 21 2013 00:28:18 on localhost [Seed = 2648411720] Type ? for help. Type -D to quit. Loading file "K14n15861__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n15861 geometric_solution 11.39495029 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 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 -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 0.784282162328 0.967925917266 0 5 3 6 0132 0132 1302 0132 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 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 0.526266040844 0.628004152162 7 0 5 3 0132 0132 3120 0132 0 0 0 0 0 0 0 0 -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 0 0 0 0 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 0.434461986835 0.664414731090 1 8 2 0 2031 0132 0132 0132 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 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 -0.176846422029 0.895028501840 8 9 0 10 0213 0132 0132 0132 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 -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 0.701700232277 1.208334193802 10 1 2 6 3120 0132 3120 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.075697037125 1.062387451596 5 9 1 11 3012 2310 0132 0132 0 0 0 0 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.157473949902 0.659087530401 2 10 11 11 0132 3120 2031 2310 0 0 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 -1 1 0 -1 0 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 0.691294545997 0.563416362062 4 3 12 12 0213 0132 0132 0321 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 -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 0.277104862691 1.319352073301 12 4 10 6 0321 0132 2103 3201 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.618298735915 0.068318777468 9 7 4 5 2103 3120 0132 3120 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 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 0.827585103431 0.750122960360 7 12 6 7 3201 3201 0132 1302 0 0 0 0 0 1 -1 0 0 0 1 -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 0 0 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.747947030040 1.365073370796 9 8 11 8 0321 0321 2310 0132 0 0 0 0 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 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 0.847533221627 0.725925045858 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : d['c_0011_10'], 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : negation(d['c_1001_2']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : negation(d['c_1001_2']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_0'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_0'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_0011_0']), '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_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_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_11'], 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : d['c_0011_11'], 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : negation(d['c_0101_5']), 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0011_6']), 'c_1100_11' : d['c_0101_3'], 'c_1100_10' : negation(d['c_0101_5']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_0011_12'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_0'], 'c_1100_8' : d['c_0011_11'], '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_11'], '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' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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_0011_10'], 'c_0110_10' : d['c_0011_6'], 'c_0110_12' : d['c_0011_4'], 'c_0101_12' : negation(d['c_0011_12']), 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_11']), 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_12'], 'c_0101_8' : d['c_0011_4'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_12']), 'c_0110_8' : negation(d['c_0011_12']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0011_12'], 'c_0110_7' : negation(d['c_0101_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_3, c_0011_4, c_0011_6, c_0101_0, c_0101_11, c_0101_3, c_0101_5, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 22744595/1276*c_1001_2^3 + 13178893/319*c_1001_2^2 + 122097115/638*c_1001_2 - 71582471/319, c_0011_0 - 1, c_0011_10 - 1/26*c_1001_2^3 + 1/26*c_1001_2^2 + 8/13, c_0011_11 + 3/26*c_1001_2^3 + 5/13*c_1001_2^2 + c_1001_2 - 11/13, c_0011_12 + 1/26*c_1001_2^3 - 1/26*c_1001_2^2 - 8/13, c_0011_3 + 1/13*c_1001_2^3 - 1/13*c_1001_2^2 - 3/13, c_0011_4 - 1/13*c_1001_2^3 + 1/13*c_1001_2^2 + 3/13, c_0011_6 + 2/13*c_1001_2^3 + 9/26*c_1001_2^2 + 2*c_1001_2 - 19/13, c_0101_0 - 2/13*c_1001_2^3 - 9/26*c_1001_2^2 - c_1001_2 - 7/13, c_0101_11 + 11/26*c_1001_2^3 + 14/13*c_1001_2^2 + 5*c_1001_2 - 23/13, c_0101_3 - 7/26*c_1001_2^3 - 19/26*c_1001_2^2 - 3*c_1001_2 + 4/13, c_0101_5 + 2/13*c_1001_2^3 + 9/26*c_1001_2^2 + 2*c_1001_2 - 6/13, c_1001_0 - 1/26*c_1001_2^3 + 1/26*c_1001_2^2 - c_1001_2 + 8/13, c_1001_2^4 + 2*c_1001_2^3 + 10*c_1001_2^2 - 16*c_1001_2 + 4 ], 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_3, c_0011_4, c_0011_6, c_0101_0, c_0101_11, c_0101_3, c_0101_5, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 39137/2*c_1001_2^3 - 97349/2*c_1001_2^2 + 158145/2*c_1001_2 - 23705, c_0011_0 - 1, c_0011_10 - 2*c_1001_2^3 - 5*c_1001_2^2 + 8*c_1001_2 - 4, c_0011_11 + 3*c_1001_2^3 + 7*c_1001_2^2 - 12*c_1001_2 + 7, c_0011_12 - 4*c_1001_2^3 - 10*c_1001_2^2 + 16*c_1001_2 - 9, c_0011_3 - 2*c_1001_2^3 - 5*c_1001_2^2 + 8*c_1001_2 - 4, c_0011_4 + 2*c_1001_2^3 + 5*c_1001_2^2 - 8*c_1001_2 + 4, c_0011_6 + 5*c_1001_2^3 + 12*c_1001_2^2 - 19*c_1001_2 + 11, c_0101_0 + c_1001_2^3 + 2*c_1001_2^2 - 5*c_1001_2 + 3, c_0101_11 - c_1001_2^3 - 2*c_1001_2^2 + 3*c_1001_2 - 2, c_0101_3 - c_1001_2^3 - 3*c_1001_2^2 + 4*c_1001_2 - 2, c_0101_5 + 3*c_1001_2^3 + 7*c_1001_2^2 - 11*c_1001_2 + 6, c_1001_0 - 2*c_1001_2^3 - 5*c_1001_2^2 + 7*c_1001_2 - 4, c_1001_2^4 + 2*c_1001_2^3 - 5*c_1001_2^2 + 4*c_1001_2 - 1 ], 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_3, c_0011_4, c_0011_6, c_0101_0, c_0101_11, c_0101_3, c_0101_5, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 2855676102934670849/174894067827022726*c_1001_2^7 + 6211895375395441027/121080508495631118*c_1001_2^6 + 234606174554361037453/787023305221602267*c_1001_2^5 - 203737682531687717618/787023305221602267*c_1001_2^4 + 121412938055385482123/174894067827022726*c_1001_2^3 - 612422880602811320404/87447033913511363*c_1001_2^2 + 5068742032205274610309/524682203481068178*c_1001_2 - 3780516355208382556531/787023305221602267, c_0011_0 - 1, c_0011_10 - 21337/99107372*c_1001_2^7 - 6217/3811822*c_1001_2^6 - 64755/14158196*c_1001_2^5 - 169399/24776843*c_1001_2^4 + 3745689/99107372*c_1001_2^3 - 1321881/24776843*c_1001_2^2 + 1616141/49553686*c_1001_2 - 15540128/24776843, c_0011_11 - 620539/24776843*c_1001_2^7 - 460885/3811822*c_1001_2^6 - 2347077/3539549*c_1001_2^5 - 35570273/49553686*c_1001_2^4 - 59940487/24776843*c_1001_2^3 + 318748455/49553686*c_1001_2^2 - 124505593/24776843*c_1001_2 + 28845198/24776843, c_0011_12 + 559241/99107372*c_1001_2^7 + 65405/3811822*c_1001_2^6 + 1230083/14158196*c_1001_2^5 - 3689732/24776843*c_1001_2^4 + 1132903/99107372*c_1001_2^3 - 60475691/24776843*c_1001_2^2 + 152725187/49553686*c_1001_2 - 51848208/24776843, c_0011_3 + 247615/49553686*c_1001_2^7 + 23377/1905911*c_1001_2^6 + 517909/7079098*c_1001_2^5 - 4197929/24776843*c_1001_2^4 + 6184985/49553686*c_1001_2^3 - 64441334/24776843*c_1001_2^2 + 78786805/24776843*c_1001_2 - 24138063/24776843, c_0011_4 + 247615/49553686*c_1001_2^7 + 23377/1905911*c_1001_2^6 + 517909/7079098*c_1001_2^5 - 4197929/24776843*c_1001_2^4 + 6184985/49553686*c_1001_2^3 - 64441334/24776843*c_1001_2^2 + 78786805/24776843*c_1001_2 - 24138063/24776843, c_0011_6 + 913097/99107372*c_1001_2^7 + 149595/1905911*c_1001_2^6 + 5834083/14158196*c_1001_2^5 + 59729027/49553686*c_1001_2^4 + 220185775/99107372*c_1001_2^3 + 85652531/49553686*c_1001_2^2 - 204052617/49553686*c_1001_2 + 94232396/24776843, c_0101_0 + 740241/99107372*c_1001_2^7 + 45807/1905911*c_1001_2^6 + 1807927/14158196*c_1001_2^5 - 8791513/49553686*c_1001_2^4 - 7988485/99107372*c_1001_2^3 - 191924569/49553686*c_1001_2^2 + 165391433/49553686*c_1001_2 - 37823202/24776843, c_0101_11 + 3906159/49553686*c_1001_2^7 + 1434051/3811822*c_1001_2^6 + 14738807/7079098*c_1001_2^5 + 116115063/49553686*c_1001_2^4 + 398650391/49553686*c_1001_2^3 - 970115763/49553686*c_1001_2^2 + 399616466/24776843*c_1001_2 - 108247434/24776843, c_0101_3 - 3815659/99107372*c_1001_2^7 - 703921/3811822*c_1001_2^6 - 14449885/14158196*c_1001_2^5 - 29381778/24776843*c_1001_2^4 - 403211085/99107372*c_1001_2^3 + 224785644/24776843*c_1001_2^2 - 393283343/49553686*c_1001_2 + 61136220/24776843, c_0101_5 + 1665621/99107372*c_1001_2^7 + 185356/1905911*c_1001_2^6 + 7514063/14158196*c_1001_2^5 + 47141453/49553686*c_1001_2^4 + 235592395/99107372*c_1001_2^3 - 120513605/49553686*c_1001_2^2 + 49680339/49553686*c_1001_2 + 9383407/24776843, c_1001_0 + 21337/99107372*c_1001_2^7 + 6217/3811822*c_1001_2^6 + 64755/14158196*c_1001_2^5 + 169399/24776843*c_1001_2^4 - 3745689/99107372*c_1001_2^3 + 1321881/24776843*c_1001_2^2 - 51169827/49553686*c_1001_2 + 15540128/24776843, c_1001_2^8 + 4*c_1001_2^7 + 23*c_1001_2^6 + 10*c_1001_2^5 + 85*c_1001_2^4 - 322*c_1001_2^3 + 440*c_1001_2^2 - 268*c_1001_2 + 76 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 10.310 Total time: 10.509 seconds, Total memory usage: 120.16MB