Magma V2.19-8 Tue Aug 20 2013 16:18:41 on localhost [Seed = 1174920010] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2850 geometric_solution 6.07503845 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 -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 0.841994853742 1.511597219208 0 5 3 5 0132 0132 1302 1023 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 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 0.694360278782 0.464347865597 3 0 4 6 2310 0132 1302 0132 0 0 0 0 0 0 1 -1 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 1 -1 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 0.203133671330 0.788730301079 1 6 2 0 2031 2310 3201 0132 0 0 0 0 0 0 0 0 1 0 0 -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 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 0.203133671330 0.788730301079 2 5 0 5 2031 3201 0132 2310 0 0 0 0 0 0 0 0 -1 0 1 0 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 1 0 -1 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 0.694360278782 0.464347865597 4 1 4 1 3201 0132 2310 1023 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 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 0.679909486846 0.241808298174 6 6 2 3 1230 3012 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.261123604853 0.461636511007 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_6']), 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : negation(d['c_0101_5']), '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_0011_4'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : d['c_0110_5'], 'c_1010_0' : negation(d['c_0101_5'])})} 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_3, c_0011_4, c_0011_6, c_0101_0, c_0101_5, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 20684240/917783*c_0110_5^15 - 953144665/7342264*c_0110_5^13 + 80437091455/234952448*c_0110_5^11 - 33476968689/58738112*c_0110_5^9 + 38623880229/58738112*c_0110_5^7 - 4283565431/7342264*c_0110_5^5 + 5927486053/14684528*c_0110_5^3 - 116470009/917783*c_0110_5, c_0011_0 - 1, c_0011_3 - 623421/917783*c_0110_5^15 + 749895869/117476224*c_0110_5^13 - 629196321/29369056*c_0110_5^11 + 603031721/14684528*c_0110_5^9 - 195724545/3671132*c_0110_5^7 + 90894047/1835566*c_0110_5^5 - 70834575/1835566*c_0110_5^3 + 31198903/1835566*c_0110_5, c_0011_4 - 744872/917783*c_0110_5^14 + 44927445/14684528*c_0110_5^12 - 307713781/58738112*c_0110_5^10 + 79115169/14684528*c_0110_5^8 - 38773847/14684528*c_0110_5^6 + 4751949/3671132*c_0110_5^4 + 4370791/3671132*c_0110_5^2 - 2493684/917783, c_0011_6 + 25554523/3671132*c_0110_5^15 - 19683680475/469904896*c_0110_5^13 + 13559363525/117476224*c_0110_5^11 - 23426404011/117476224*c_0110_5^9 + 7023626917/29369056*c_0110_5^7 - 6406030575/29369056*c_0110_5^5 + 569172563/3671132*c_0110_5^3 - 52408531/917783*c_0110_5, c_0101_0 + 8093121/1835566*c_0110_5^15 - 5822680897/234952448*c_0110_5^13 + 478213913/7342264*c_0110_5^11 - 6392795577/58738112*c_0110_5^9 + 464917085/3671132*c_0110_5^7 - 1670511387/14684528*c_0110_5^5 + 143549131/1835566*c_0110_5^3 - 48224389/1835566*c_0110_5, c_0101_5 + 8093121/1835566*c_0110_5^15 - 5822680897/234952448*c_0110_5^13 + 478213913/7342264*c_0110_5^11 - 6392795577/58738112*c_0110_5^9 + 464917085/3671132*c_0110_5^7 - 1670511387/14684528*c_0110_5^5 + 143549131/1835566*c_0110_5^3 - 48224389/1835566*c_0110_5, c_0110_5^16 - 897/128*c_0110_5^14 + 721/32*c_0110_5^12 - 1441/32*c_0110_5^10 + 501/8*c_0110_5^8 - 521/8*c_0110_5^6 + 53*c_0110_5^4 - 30*c_0110_5^2 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB