Magma V2.19-8 Tue Aug 20 2013 16:16:40 on localhost [Seed = 1090575755] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0952 geometric_solution 4.85090489 oriented_manifold CS_known 0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.379085988667 0.209232129472 2 0 3 0 0132 2310 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 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598952451383 0.906766181058 1 4 3 3 0132 0132 3012 1230 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.338572107139 1.350679126631 2 2 4 1 3012 1230 3201 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 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 1.338572107139 1.350679126631 3 2 5 5 2310 0132 2310 0132 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 0 0 0 1 0 -1 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 -0.329073386926 0.429157902249 6 4 4 6 0132 3201 0132 3201 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.174506593168 0.719608588835 5 5 6 6 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.050105457360 1.438978981421 ==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_0101_6'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_5']), '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' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : negation(d['c_0101_3']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_3, c_0011_5, c_0101_0, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t + 37768114/2407979*c_0101_6^11 - 96264964/2407979*c_0101_6^10 - 151391748/343997*c_0101_6^9 - 1582225430/2407979*c_0101_6^8 + 30607820/2407979*c_0101_6^7 + 14941882/2407979*c_0101_6^6 - 1622677192/2407979*c_0101_6^5 + 86972663/2407979*c_0101_6^4 + 1085162536/2407979*c_0101_6^3 - 312903720/2407979*c_0101_6^2 - 289875598/2407979*c_0101_6 + 149978809/2407979, c_0011_0 - 1, c_0011_1 - 613404/343997*c_0101_6^11 + 2346620/343997*c_0101_6^10 + 13991229/343997*c_0101_6^9 + 8673765/343997*c_0101_6^8 - 6387617/343997*c_0101_6^7 + 11543382/343997*c_0101_6^6 + 9784061/343997*c_0101_6^5 - 9750035/343997*c_0101_6^4 - 2156413/343997*c_0101_6^3 + 3672868/343997*c_0101_6^2 - 649965/343997*c_0101_6 - 745452/343997, c_0011_3 + 293544/343997*c_0101_6^11 - 1064466/343997*c_0101_6^10 - 7038035/343997*c_0101_6^9 - 4984843/343997*c_0101_6^8 + 4705871/343997*c_0101_6^7 - 4041976/343997*c_0101_6^6 - 6645657/343997*c_0101_6^5 + 6511976/343997*c_0101_6^4 + 2574778/343997*c_0101_6^3 - 3098447/343997*c_0101_6^2 + 123244/343997*c_0101_6 + 695443/343997, c_0011_5 - 324495/343997*c_0101_6^11 + 1174614/343997*c_0101_6^10 + 7668480/343997*c_0101_6^9 + 6046886/343997*c_0101_6^8 - 2586628/343997*c_0101_6^7 + 5561321/343997*c_0101_6^6 + 6014646/343997*c_0101_6^5 - 4991173/343997*c_0101_6^4 - 1853609/343997*c_0101_6^3 + 1516444/343997*c_0101_6^2 - 19084/343997*c_0101_6 - 283856/343997, c_0101_0 - 388016/343997*c_0101_3*c_0101_6^11 + 1390002/343997*c_0101_3*c_0101_6^10 + 9195769/343997*c_0101_3*c_0101_6^9 + 7633981/343997*c_0101_3*c_0101_6^8 - 2123928/343997*c_0101_3*c_0101_6^7 + 8096010/343997*c_0101_3*c_0101_6^6 + 9347255/343997*c_0101_3*c_0101_6^5 - 4397840/343997*c_0101_3*c_0101_6^4 - 1694109/343997*c_0101_3*c_0101_6^3 + 3199387/343997*c_0101_3*c_0101_6^2 - 369608/343997*c_0101_3*c_0101_6 - 1164828/343997*c_0101_3, c_0101_3^2 - 201129/343997*c_0101_6^11 + 768390/343997*c_0101_6^10 + 4661449/343997*c_0101_6^9 + 2586628/343997*c_0101_6^8 - 3614351/343997*c_0101_6^7 + 3071214/343997*c_0101_6^6 + 4017688/343997*c_0101_6^5 - 4311796/343997*c_0101_6^4 - 1191949/343997*c_0101_6^3 + 1297562/343997*c_0101_6^2 - 40639/343997*c_0101_6 - 324495/343997, c_0101_6^12 - 3*c_0101_6^11 - 26*c_0101_6^10 - 33*c_0101_6^9 - 6*c_0101_6^7 - 28*c_0101_6^6 + 3*c_0101_6^5 + 19*c_0101_6^4 - c_0101_6^3 - 5*c_0101_6^2 + c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB