Magma V2.19-8 Tue Aug 20 2013 16:17:16 on localhost [Seed = 2084429994] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1509 geometric_solution 5.31410213 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1302 2031 0132 2310 0 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.980828017603 1.415634964485 0 2 2 0 3201 0132 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.148205253558 0.748480955610 1 1 3 4 2310 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.349615529762 0.385625846682 4 5 6 2 1023 0132 0132 0132 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 0 0 0 0 0 0 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.018915378176 0.989108850040 5 3 2 6 3201 1023 0132 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.018915378176 0.989108850040 5 3 5 4 2031 0132 1302 2310 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 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 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.521472144905 0.852764425299 6 6 4 3 1230 3012 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 0 0 0 0 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.373117352213 1.402809200353 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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_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_0_6' : 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_6' : d['c_1100_2'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_1100_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_1100_2'], 'c_1100_2' : d['c_1100_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : negation(d['c_0101_1']), 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_6, c_0101_1, c_0101_6, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 256714408/217477725651*c_0101_6*c_1100_2^9 - 21737494918/217477725651*c_0101_6*c_1100_2^8 - 60684215494/72492575217*c_0101_6*c_1100_2^7 - 6830470225/2499743973*c_0101_6*c_1100_2^6 - 206642131682/72492575217*c_0101_6*c_1100_2^5 + 893518553399/217477725651*c_0101_6*c_1100_2^4 + 1652621076902/217477725651*c_0101_6*c_1100_2^3 - 830126437426/217477725651*c_0101_6*c_1100_2^2 - 471291050477/217477725651*c_0101_6*c_1100_2 + 1101877096930/217477725651*c_0101_6, c_0011_0 - 1, c_0011_1 + 19208544/833247991*c_1100_2^9 + 134799534/833247991*c_1100_2^8 + 363002122/833247991*c_1100_2^7 + 167846658/833247991*c_1100_2^6 - 837316649/833247991*c_1100_2^5 - 364178264/833247991*c_1100_2^4 + 1379270667/833247991*c_1100_2^3 - 741649891/833247991*c_1100_2^2 - 312779342/833247991*c_1100_2 + 87585407/833247991, c_0011_3 + 125380600/7499231919*c_0101_6*c_1100_2^9 + 902217394/7499231919*c_0101_6*c_1100_2^8 + 2598414541/7499231919*c_0101_6*c_1100_2^7 + 1873696615/7499231919*c_0101_6*c_1100_2^6 - 4880503591/7499231919*c_0101_6*c_1100_2^5 - 5221542380/7499231919*c_0101_6*c_1100_2^4 + 4540028854/7499231919*c_0101_6*c_1100_2^3 - 556314134/7499231919*c_0101_6*c_1100_2^2 - 155501046/833247991*c_0101_6*c_1100_2 - 9063224177/7499231919*c_0101_6, c_0011_6 + 3435352/833247991*c_1100_2^9 + 20982850/833247991*c_1100_2^8 + 55096631/833247991*c_1100_2^7 + 37812185/833247991*c_1100_2^6 - 27695534/833247991*c_1100_2^5 + 73360775/833247991*c_1100_2^4 + 73257058/833247991*c_1100_2^3 + 127629291/833247991*c_1100_2^2 + 532804634/833247991*c_1100_2 - 369989586/833247991, c_0101_1 - 50057987/7499231919*c_0101_6*c_1100_2^9 - 322481756/7499231919*c_0101_6*c_1100_2^8 - 733928144/7499231919*c_0101_6*c_1100_2^7 + 89521231/7499231919*c_0101_6*c_1100_2^6 + 2378672132/7499231919*c_0101_6*c_1100_2^5 + 40843/7499231919*c_0101_6*c_1100_2^4 - 1685884958/7499231919*c_0101_6*c_1100_2^3 + 6704205913/7499231919*c_0101_6*c_1100_2^2 - 213680647/833247991*c_0101_6*c_1100_2 + 22210633/7499231919*c_0101_6, c_0101_6^2 + 6839692/833247991*c_1100_2^9 + 32602033/833247991*c_1100_2^8 + 35614027/833247991*c_1100_2^7 - 168578697/833247991*c_1100_2^6 - 375783744/833247991*c_1100_2^5 + 153175745/833247991*c_1100_2^4 - 136709387/833247991*c_1100_2^3 - 987852571/833247991*c_1100_2^2 + 649537795/833247991*c_1100_2 - 288240016/833247991, c_1100_2^10 + 8*c_1100_2^9 + 26*c_1100_2^8 + 29*c_1100_2^7 - 30*c_1100_2^6 - 57*c_1100_2^5 + 50*c_1100_2^4 + 41*c_1100_2^3 - 38*c_1100_2^2 - 32*c_1100_2 - 29 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB