Magma V2.19-8 Tue Aug 20 2013 16:17:35 on localhost [Seed = 1713896127] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1817 geometric_solution 5.47637710 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.513873606678 0.404157433531 0 3 2 4 0132 0132 1230 0132 0 0 0 0 0 -1 0 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 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 0.797701432837 0.945598094410 3 0 4 1 3201 0132 3201 3012 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 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 0.797701432837 0.945598094410 3 1 3 2 2031 0132 1302 2310 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 0.130910198714 1.214759102677 2 5 1 5 2310 0132 0132 2310 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 0 0 0 0 0 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 1.741350967098 0.670257692193 4 4 6 6 3201 0132 3201 0132 0 0 0 0 0 0 0 0 0 0 -1 1 -1 0 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 1 -1 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.234057743254 0.394607546192 5 6 5 6 2310 1302 0132 2031 0 0 0 0 0 0 0 0 1 0 -1 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 -1 0 1 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 -1.880598175609 2.038323170934 ==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' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], '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' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_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_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t - 53606004/10650095*c_0101_6^12 + 135593687/10650095*c_0101_6^11 + 405240354/10650095*c_0101_6^10 - 1665523782/10650095*c_0101_6^9 - 189118222/10650095*c_0101_6^8 + 4555374104/10650095*c_0101_6^7 - 2688842679/10650095*c_0101_6^6 - 3472115084/10650095*c_0101_6^5 + 639775814/2130019*c_0101_6^4 + 281363777/10650095*c_0101_6^3 - 82980748/2130019*c_0101_6^2 - 192271329/10650095*c_0101_6 - 96327224/10650095, c_0011_0 - 1, c_0011_4 + 1797406/2130019*c_0101_6^12 - 3953198/2130019*c_0101_6^11 - 15228536/2130019*c_0101_6^10 + 51060091/2130019*c_0101_6^9 + 26141214/2130019*c_0101_6^8 - 148236744/2130019*c_0101_6^7 + 31472649/2130019*c_0101_6^6 + 128892230/2130019*c_0101_6^5 - 59516794/2130019*c_0101_6^4 - 18186583/2130019*c_0101_6^3 + 6646982/2130019*c_0101_6^2 - 2757846/2130019*c_0101_6 + 1724100/2130019, c_0011_6 - 1757757/2130019*c_0101_6^12 + 4247581/2130019*c_0101_6^11 + 13953923/2130019*c_0101_6^10 - 53036265/2130019*c_0101_6^9 - 13966881/2130019*c_0101_6^8 + 148847133/2130019*c_0101_6^7 - 63837779/2130019*c_0101_6^6 - 118026759/2130019*c_0101_6^5 + 85062829/2130019*c_0101_6^4 + 7806541/2130019*c_0101_6^3 - 10542411/2130019*c_0101_6^2 + 2619212/2130019*c_0101_6 - 3320835/2130019, c_0101_0 - 932738/2130019*c_0101_6^12 + 2665267/2130019*c_0101_6^11 + 6729130/2130019*c_0101_6^10 - 32168875/2130019*c_0101_6^9 + 2460745/2130019*c_0101_6^8 + 91719851/2130019*c_0101_6^7 - 65760360/2130019*c_0101_6^6 - 74006861/2130019*c_0101_6^5 + 81454955/2130019*c_0101_6^4 + 6050935/2130019*c_0101_6^3 - 16080504/2130019*c_0101_6^2 + 2394492/2130019*c_0101_6 - 2557040/2130019, c_0101_1 - 20461/13567*c_0101_2*c_0101_6^12 + 38627/13567*c_0101_2*c_0101_6^11 + 180731/13567*c_0101_2*c_0101_6^10 - 519292/13567*c_0101_2*c_0101_6^9 - 416688/13567*c_0101_2*c_0101_6^8 + 1471168/13567*c_0101_2*c_0101_6^7 - 31252/13567*c_0101_2*c_0101_6^6 - 1275992/13567*c_0101_2*c_0101_6^5 + 336775/13567*c_0101_2*c_0101_6^4 + 180756/13567*c_0101_2*c_0101_6^3 + 31366/13567*c_0101_2*c_0101_6^2 + 14210/13567*c_0101_2*c_0101_6 - 28611/13567*c_0101_2, c_0101_2^2 - 1797406/2130019*c_0101_6^12 + 3953198/2130019*c_0101_6^11 + 15228536/2130019*c_0101_6^10 - 51060091/2130019*c_0101_6^9 - 26141214/2130019*c_0101_6^8 + 148236744/2130019*c_0101_6^7 - 31472649/2130019*c_0101_6^6 - 128892230/2130019*c_0101_6^5 + 59516794/2130019*c_0101_6^4 + 18186583/2130019*c_0101_6^3 - 6646982/2130019*c_0101_6^2 + 2757846/2130019*c_0101_6 - 3854119/2130019, c_0101_6^13 - 2*c_0101_6^12 - 9*c_0101_6^11 + 27*c_0101_6^10 + 21*c_0101_6^9 - 83*c_0101_6^8 + 87*c_0101_6^6 - 19*c_0101_6^5 - 28*c_0101_6^4 + 2*c_0101_6^3 + c_0101_6^2 + 2*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB