Magma V2.19-8 Tue Aug 20 2013 16:16:15 on localhost [Seed = 2496989270] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0511 geometric_solution 4.51742167 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 1 0 1 2310 0132 3201 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.515884998193 0.032095634221 2 0 2 0 0132 0132 2310 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.783164419991 0.343806884531 1 1 3 3 0132 3201 0132 2310 0 0 0 0 0 0 -1 1 -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 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 3.903196108902 3.308109432358 2 4 5 2 3201 0132 0132 0132 0 0 0 0 0 -1 0 1 0 0 0 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 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 0.058567249681 0.510254333506 5 3 6 5 2310 0132 0132 2031 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 0.202307273268 0.836653464661 6 4 4 3 2310 1302 3201 0132 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 -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 0.202307273268 0.836653464661 6 6 5 4 1302 2031 3201 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 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 0.596940141650 0.626095764659 ==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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_6']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), '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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0011_6'], 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : negation(d['c_0101_4']), 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : d['c_0101_2']})} 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_5, c_0011_6, c_0101_0, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t + 221471908712/1489618245*c_0101_4^13 - 721868567761/496539415*c_0101_4^12 - 2363855642836/496539415*c_0101_4^11 + 43719878156734/1489618245*c_0101_4^10 + 13176674186983/99307883*c_0101_4^9 + 237149359875064/1489618245*c_0101_4^8 - 27636577469243/1489618245*c_0101_4^7 - 240552831549436/1489618245*c_0101_4^6 - 39946889915508/496539415*c_0101_4^5 + 11652748742266/496539415*c_0101_4^4 + 11767149492727/496539415*c_0101_4^3 + 1379445579537/496539415*c_0101_4^2 - 2252274268568/1489618245*c_0101_4 - 652392072092/1489618245, c_0011_0 - 1, c_0011_3 + 61954820/99307883*c_0101_4^13 - 385560063/99307883*c_0101_4^12 - 4462450398/99307883*c_0101_4^11 + 8765688752/99307883*c_0101_4^10 + 104650770272/99307883*c_0101_4^9 + 191326903748/99307883*c_0101_4^8 + 28244658400/99307883*c_0101_4^7 - 190667211256/99307883*c_0101_4^6 - 109133054049/99307883*c_0101_4^5 + 41288479440/99307883*c_0101_4^4 + 30569348419/99307883*c_0101_4^3 - 1266371150/99307883*c_0101_4^2 - 2202546768/99307883*c_0101_4 - 164966752/99307883, c_0011_5 - 51903425/99307883*c_0101_2*c_0101_4^13 + 400198744/99307883*c_0101_2*c_0101_4^12 + 2613006063/99307883*c_0101_2*c_0101_4^11 - 5694703912/99307883*c_0101_2*c_0101_4^10 - 66062548016/99307883*c_0101_2*c_0101_4^9 - 173301109152/99307883*c_0101_2*c_0101_4^8 - 162273873974/99307883*c_0101_2*c_0101_4^7 + 53443944522/99307883*c_0101_2*c_0101_4^6 + 188234289950/99307883*c_0101_2*c_0101_4^5 + 71240282482/99307883*c_0101_2*c_0101_4^4 - 34882822657/99307883*c_0101_2*c_0101_4^3 - 16870283979/99307883*c_0101_2*c_0101_4^2 + 1808869894/99307883*c_0101_2*c_0101_4 + 829049587/99307883*c_0101_2, c_0011_6 - 153939314/99307883*c_0101_2*c_0101_4^13 + 1241980137/99307883*c_0101_2*c_0101_4^12 + 7627434303/99307883*c_0101_2*c_0101_4^11 - 23317965427/99307883*c_0101_2*c_0101_4^10 - 191694341682/99307883*c_0101_2*c_0101_4^9 - 372601036601/99307883*c_0101_2*c_0101_4^8 - 184248770484/99307883*c_0101_2*c_0101_4^7 + 240264898517/99307883*c_0101_2*c_0101_4^6 + 299019772084/99307883*c_0101_2*c_0101_4^5 + 43048807940/99307883*c_0101_2*c_0101_4^4 - 62359841916/99307883*c_0101_2*c_0101_4^3 - 18142220522/99307883*c_0101_2*c_0101_4^2 + 3512360309/99307883*c_0101_2*c_0101_4 + 1093489004/99307883*c_0101_2, c_0101_0 + 260340811/99307883*c_0101_2*c_0101_4^13 - 2087374745/99307883*c_0101_2*c_0101_4^12 - 13128794055/99307883*c_0101_2*c_0101_4^11 + 40106789144/99307883*c_0101_2*c_0101_4^10 + 328981734664/99307883*c_0101_2*c_0101_4^9 + 619925157923/99307883*c_0101_2*c_0101_4^8 + 255963172435/99307883*c_0101_2*c_0101_4^7 - 457728610779/99307883*c_0101_2*c_0101_4^6 - 483540804400/99307883*c_0101_2*c_0101_4^5 - 26961669848/99307883*c_0101_2*c_0101_4^4 + 117189240303/99307883*c_0101_2*c_0101_4^3 + 27442796275/99307883*c_0101_2*c_0101_4^2 - 7823295068/99307883*c_0101_2*c_0101_4 - 2078179023/99307883*c_0101_2, c_0101_2^2 + 442151811/99307883*c_0101_4^13 - 4909394922/99307883*c_0101_4^12 - 7700621294/99307883*c_0101_4^11 + 98009760830/99307883*c_0101_4^10 + 265762765642/99307883*c_0101_4^9 + 110832758190/99307883*c_0101_4^8 - 235234846154/99307883*c_0101_4^7 - 192362405036/99307883*c_0101_4^6 + 33199424959/99307883*c_0101_4^5 + 51025373299/99307883*c_0101_4^4 + 6351058614/99307883*c_0101_4^3 - 2596831830/99307883*c_0101_4^2 - 1045454672/99307883*c_0101_4 - 202368826/99307883, c_0101_4^14 - 10*c_0101_4^13 - 30*c_0101_4^12 + 206*c_0101_4^11 + 853*c_0101_4^10 + 842*c_0101_4^9 - 486*c_0101_4^8 - 1174*c_0101_4^7 - 229*c_0101_4^6 + 426*c_0101_4^5 + 144*c_0101_4^4 - 60*c_0101_4^3 - 22*c_0101_4^2 + 3*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB