Magma V2.19-8 Tue Aug 20 2013 16:17:31 on localhost [Seed = 1494795650] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1763 geometric_solution 5.44933248 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 2310 1230 3012 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 1 0 -1 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 1.733544499103 0.507855602514 0 2 3 0 0132 0132 0132 3201 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 -1 0 1 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 0.670680143318 0.694196382570 4 1 5 3 0132 0132 0132 3201 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 1 0 -1 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 -0.006626435858 0.759861661576 5 2 4 1 1023 2310 2310 0132 0 0 0 0 0 0 0 0 0 0 1 -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 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 -0.006626435858 0.759861661576 2 3 4 4 0132 3201 1230 3012 0 0 0 0 0 1 0 -1 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 1 -1 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 0.340116022852 0.971120422659 6 3 6 2 0132 1023 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.391596483602 1.964134298464 5 5 6 6 0132 3201 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 0.401560012901 0.158596235662 ==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_2'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0101_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : negation(d['c_0101_4']), 'c_1010_1' : d['c_0101_1'], '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_3, c_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 5976531976796755124/157813709594949031*c_0101_5^17 - 41158084279751788164/157813709594949031*c_0101_5^16 + 71490703725687117136/157813709594949031*c_0101_5^15 + 35756508557048553923/157813709594949031*c_0101_5^14 - 46480406424339799820/157813709594949031*c_0101_5^13 - 242108658196192612847/157813709594949031*c_0101_5^12 - 60813913523534695817/48558064490753548*c_0101_5^11 + 2253003756504181363487/631254838379796124*c_0101_5^10 + 643971960166217224572/157813709594949031*c_0101_5^9 + 15374440056609903089/48558064490753548*c_0101_5^8 - 3173767125647474814617/631254838379796124*c_0101_5^7 - 3569635498441021008969/631254838379796124*c_0101_5^6 - 106038318883676084051/631254838379796124*c_0101_5^5 + 423852132367587120893/315627419189898062*c_0101_5^4 + 61681722819670458725/157813709594949031*c_0101_5^3 + 166437728283272184931/631254838379796124*c_0101_5^2 - 4045051854202197201/631254838379796124*c_0101_5 - 9451886275273930783/315627419189898062, c_0011_0 - 1, c_0011_3 + 108144717725319582/12139516122688387*c_0101_5^17 - 766957947175034712/12139516122688387*c_0101_5^16 + 1489480331253576510/12139516122688387*c_0101_5^15 + 180149757853405273/24279032245376774*c_0101_5^14 - 850805031305253267/24279032245376774*c_0101_5^13 - 8502298056896541127/24279032245376774*c_0101_5^12 - 20805117981733944539/97116128981507096*c_0101_5^11 + 37794577860661548571/48558064490753548*c_0101_5^10 + 68488341469001924711/97116128981507096*c_0101_5^9 + 9934272823360445625/97116128981507096*c_0101_5^8 - 24272789138448852511/24279032245376774*c_0101_5^7 - 12099262894525054244/12139516122688387*c_0101_5^6 - 2028524731006126499/48558064490753548*c_0101_5^5 + 5389496190055131771/97116128981507096*c_0101_5^4 + 163672941865717091/24279032245376774*c_0101_5^3 + 2970064047411189013/97116128981507096*c_0101_5^2 - 72111335885203047/48558064490753548*c_0101_5 - 190977182318233947/97116128981507096, c_0101_0 - 18377806302395650/12139516122688387*c_0101_5^17 + 131669202793866468/12139516122688387*c_0101_5^16 - 258327501610595574/12139516122688387*c_0101_5^15 - 35040597748665287/24279032245376774*c_0101_5^14 + 175667052756735807/24279032245376774*c_0101_5^13 + 1478428207284325813/24279032245376774*c_0101_5^12 + 3601300504285814829/97116128981507096*c_0101_5^11 - 1693858182561720957/12139516122688387*c_0101_5^10 - 12081107776612361195/97116128981507096*c_0101_5^9 - 1617752449902157467/97116128981507096*c_0101_5^8 + 8681158143285821665/48558064490753548*c_0101_5^7 + 8699744171677958843/48558064490753548*c_0101_5^6 + 87973393024066200/12139516122688387*c_0101_5^5 - 659855931274122443/97116128981507096*c_0101_5^4 - 2857922099059065/24279032245376774*c_0101_5^3 - 237966295231264259/97116128981507096*c_0101_5^2 + 32208041046265753/24279032245376774*c_0101_5 - 35621110269047021/97116128981507096, c_0101_1 + 18944880281576708/12139516122688387*c_0101_5^17 - 150045505970195128/12139516122688387*c_0101_5^16 + 360221555339297636/12139516122688387*c_0101_5^15 - 152140720286039289/12139516122688387*c_0101_5^14 - 70423580372391315/12139516122688387*c_0101_5^13 - 828297366265760263/12139516122688387*c_0101_5^12 - 49085226463673253/48558064490753548*c_0101_5^11 + 2062383679276162461/12139516122688387*c_0101_5^10 + 3464656857348045941/48558064490753548*c_0101_5^9 - 1712304793754872905/48558064490753548*c_0101_5^8 - 5289225175834713715/24279032245376774*c_0101_5^7 - 1415289739546679662/12139516122688387*c_0101_5^6 + 637764401509414896/12139516122688387*c_0101_5^5 + 464583176673696981/48558064490753548*c_0101_5^4 + 36955902191415295/12139516122688387*c_0101_5^3 + 20814715374333343/48558064490753548*c_0101_5^2 - 35671377321834200/12139516122688387*c_0101_5 - 7278583558685625/48558064490753548, c_0101_2 + 114489600858161920/12139516122688387*c_0101_5^17 - 821779492095575060/12139516122688387*c_0101_5^16 + 1643349103004665364/12139516122688387*c_0101_5^15 - 32382771738472136/12139516122688387*c_0101_5^14 - 423673812768514171/12139516122688387*c_0101_5^13 - 4541809354498102496/12139516122688387*c_0101_5^12 - 2423366006772792471/12139516122688387*c_0101_5^11 + 40802399917720616085/48558064490753548*c_0101_5^10 + 34054741392580508253/48558064490753548*c_0101_5^9 + 1739817372093741499/24279032245376774*c_0101_5^8 - 52475299389641771581/48558064490753548*c_0101_5^7 - 48643430073374860103/48558064490753548*c_0101_5^6 + 139684500070843263/48558064490753548*c_0101_5^5 + 3026720568948499427/48558064490753548*c_0101_5^4 + 185956165161834013/12139516122688387*c_0101_5^3 + 389752020562648702/12139516122688387*c_0101_5^2 - 154734751574907955/48558064490753548*c_0101_5 - 109904821442274843/48558064490753548, c_0101_4 + 42320080816010070/12139516122688387*c_0101_5^17 - 288731280994949152/12139516122688387*c_0101_5^16 + 497698287372289286/12139516122688387*c_0101_5^15 + 436118836407100573/24279032245376774*c_0101_5^14 - 394103312741121067/24279032245376774*c_0101_5^13 - 3412888137505585239/24279032245376774*c_0101_5^12 - 12004952299768625479/97116128981507096*c_0101_5^11 + 14081170250925928097/48558064490753548*c_0101_5^10 + 35614716968507857251/97116128981507096*c_0101_5^9 + 10347939940302146693/97116128981507096*c_0101_5^8 - 4712828238013591202/12139516122688387*c_0101_5^7 - 6151266548251504240/12139516122688387*c_0101_5^6 - 5600598611733066065/48558064490753548*c_0101_5^5 + 2105862485717221511/97116128981507096*c_0101_5^4 + 100681234069161179/24279032245376774*c_0101_5^3 + 1305606509072632673/97116128981507096*c_0101_5^2 + 81091288496884911/48558064490753548*c_0101_5 - 144379252745280255/97116128981507096, c_0101_5^18 - 7*c_0101_5^17 + 13*c_0101_5^16 + 11/4*c_0101_5^15 - 9/2*c_0101_5^14 - 81/2*c_0101_5^13 - 457/16*c_0101_5^12 + 1401/16*c_0101_5^11 + 1483/16*c_0101_5^10 + 71/4*c_0101_5^9 - 1881/16*c_0101_5^8 - 519/4*c_0101_5^7 - 121/8*c_0101_5^6 + 187/16*c_0101_5^5 + 61/16*c_0101_5^4 + 63/16*c_0101_5^3 + 5/16*c_0101_5^2 - 7/16*c_0101_5 - 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB