Magma V2.19-8 Tue Aug 20 2013 16:14:23 on localhost [Seed = 1242289768] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s369 geometric_solution 4.58840570 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 1 0132 0132 0132 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 1 -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 0.363449087377 0.265794084994 0 1 1 0 0132 3201 2310 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 -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 1.161893207617 0.990339801775 4 0 3 3 0132 0132 3201 2031 0 0 0 0 0 0 0 0 -1 0 0 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 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 0.297869944760 0.819238723441 2 2 4 0 2310 1302 2310 0132 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 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 0.297869944760 0.819238723441 2 3 5 5 0132 3201 0132 3201 0 0 0 0 0 0 0 0 1 0 0 -1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.100677567956 2.558185710037 5 4 5 4 2310 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.500496129618 0.329514443082 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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_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_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_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], '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_0101_4'], 'c_1001_4' : d['c_0101_0'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : negation(d['c_0101_0']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 296071070474/553390438379*c_0101_4^15 - 318467560004/553390438379*c_0101_4^14 - 19806657022692/553390438379*c_0101_4^13 - 14682484437984/553390438379*c_0101_4^12 + 147639409682448/553390438379*c_0101_4^11 + 149453654432501/553390438379*c_0101_4^10 - 451044241889174/553390438379*c_0101_4^9 - 456397225560440/553390438379*c_0101_4^8 + 718863331456848/553390438379*c_0101_4^7 + 573341326266028/553390438379*c_0101_4^6 - 657105713294212/553390438379*c_0101_4^5 - 331692626785159/553390438379*c_0101_4^4 + 292348983392567/553390438379*c_0101_4^3 + 101336012543361/553390438379*c_0101_4^2 - 32613970540281/553390438379*c_0101_4 - 26467729114858/553390438379, c_0011_0 - 1, c_0011_3 + 177344773972/553390438379*c_0101_4^15 - 1408003145175/553390438379*c_0101_4^14 - 2489598762773/553390438379*c_0101_4^13 + 10937920348788/553390438379*c_0101_4^12 + 14772208380714/553390438379*c_0101_4^11 - 35035471883763/553390438379*c_0101_4^10 - 35533755928448/553390438379*c_0101_4^9 + 59211926816476/553390438379*c_0101_4^8 + 33326421760968/553390438379*c_0101_4^7 - 54415756525073/553390438379*c_0101_4^6 - 8828041807897/553390438379*c_0101_4^5 + 20785028758661/553390438379*c_0101_4^4 - 1624642803454/553390438379*c_0101_4^3 - 792157032797/553390438379*c_0101_4^2 - 282598424604/553390438379*c_0101_4 + 152906879288/553390438379, c_0011_5 + 122573310312/553390438379*c_0101_4^15 - 853362168620/553390438379*c_0101_4^14 - 2626385841704/553390438379*c_0101_4^13 + 5547286400710/553390438379*c_0101_4^12 + 16704990789349/553390438379*c_0101_4^11 - 11660009660454/553390438379*c_0101_4^10 - 42461511378251/553390438379*c_0101_4^9 + 9299591214470/553390438379*c_0101_4^8 + 47581383028920/553390438379*c_0101_4^7 - 3300697854994/553390438379*c_0101_4^6 - 25553303200626/553390438379*c_0101_4^5 - 2665625009427/553390438379*c_0101_4^4 + 6379969534594/553390438379*c_0101_4^3 + 2922523754770/553390438379*c_0101_4^2 - 593571227817/553390438379*c_0101_4 + 44963294388/553390438379, c_0101_0 - 89310496483/553390438379*c_0101_4^15 + 569461981623/553390438379*c_0101_4^14 + 2326617611718/553390438379*c_0101_4^13 - 3304330167111/553390438379*c_0101_4^12 - 15223286439643/553390438379*c_0101_4^11 + 4123538327047/553390438379*c_0101_4^10 + 39960601260083/553390438379*c_0101_4^9 + 3532996124599/553390438379*c_0101_4^8 - 47774618932114/553390438379*c_0101_4^7 - 7050124895532/553390438379*c_0101_4^6 + 27341940847812/553390438379*c_0101_4^5 + 4864687853780/553390438379*c_0101_4^4 - 4975286940989/553390438379*c_0101_4^3 - 2732377397910/553390438379*c_0101_4^2 - 883591617187/553390438379*c_0101_4 + 266038571736/553390438379, c_0101_1 + 91115295103/553390438379*c_0101_4^15 - 454339995601/553390438379*c_0101_4^14 - 3375991336100/553390438379*c_0101_4^13 + 1518967668869/553390438379*c_0101_4^12 + 23663329613425/553390438379*c_0101_4^11 + 7493506438933/553390438379*c_0101_4^10 - 67817441550369/553390438379*c_0101_4^9 - 35378547192055/553390438379*c_0101_4^8 + 95526064824169/553390438379*c_0101_4^7 + 45314898883125/553390438379*c_0101_4^6 - 72236707152700/553390438379*c_0101_4^5 - 25367729350787/553390438379*c_0101_4^4 + 25912452221894/553390438379*c_0101_4^3 + 8449694763964/553390438379*c_0101_4^2 - 2277314601455/553390438379*c_0101_4 - 1327813605309/553390438379, c_0101_4^16 - 8*c_0101_4^15 - 14*c_0101_4^14 + 66*c_0101_4^13 + 86*c_0101_4^12 - 228*c_0101_4^11 - 227*c_0101_4^10 + 421*c_0101_4^9 + 260*c_0101_4^8 - 433*c_0101_4^7 - 124*c_0101_4^6 + 218*c_0101_4^5 + 29*c_0101_4^4 - 40*c_0101_4^3 - 13*c_0101_4^2 + 4*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB