Magma V2.19-8 Tue Aug 20 2013 16:17:01 on localhost [Seed = 2277907285] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1262 geometric_solution 5.16204646 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 3201 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 -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 0.414370832696 0.222020976439 0 3 0 3 0132 0132 2310 2310 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.875010829948 1.004635709011 4 0 5 0 0132 2310 0132 0132 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 -1 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 0.710618337355 0.782614732572 1 1 4 5 3201 0132 3012 3012 0 0 0 0 0 1 -1 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.415642351217 1.124078922522 2 3 4 4 0132 1230 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 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 1.147158145698 1.251681147829 6 6 3 2 0132 2310 1230 0132 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 0 0 0 0 0 0 0.898655181875 1.935852814053 5 6 6 5 0132 3201 2310 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 -0.576987662976 0.368279210931 ==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' : negation(d['c_0011_5']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : d['c_0101_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_0']), '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_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : 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_2, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 161204843553707/33791755074054*c_0101_5^16 + 9644116086979/33791755074054*c_0101_5^15 + 6124872764099/16895877537027*c_0101_5^14 + 27357951970453/5631959179009*c_0101_5^13 + 1106214991920977/33791755074054*c_0101_5^12 + 686588087508568/16895877537027*c_0101_5^11 + 263253500754905/5631959179009*c_0101_5^10 - 559505893871819/11263918358018*c_0101_5^9 + 79767355033691/5631959179009*c_0101_5^8 - 7253704234275395/33791755074054*c_0101_5^7 - 2142473119273603/11263918358018*c_0101_5^6 + 12484800819105499/33791755074054*c_0101_5^5 + 169653355022693/5631959179009*c_0101_5^4 - 2992763941924061/16895877537027*c_0101_5^3 + 1040570674700101/33791755074054*c_0101_5^2 + 548669432605651/33791755074054*c_0101_5 + 329170208922265/16895877537027, c_0011_0 - 1, c_0011_2 - 1380123604499/16895877537027*c_0101_5^16 - 1979675054480/16895877537027*c_0101_5^15 - 228665315636/16895877537027*c_0101_5^14 - 80476553435/5631959179009*c_0101_5^13 + 11946551983052/16895877537027*c_0101_5^12 + 24891100625477/16895877537027*c_0101_5^11 + 12325586647982/5631959179009*c_0101_5^10 + 7038965657355/5631959179009*c_0101_5^9 + 1233862394694/5631959179009*c_0101_5^8 - 35199240088169/16895877537027*c_0101_5^7 - 52571135009494/5631959179009*c_0101_5^6 + 25351384642471/16895877537027*c_0101_5^5 + 15307538680103/5631959179009*c_0101_5^4 - 48254071275676/16895877537027*c_0101_5^3 - 4659090300278/16895877537027*c_0101_5^2 - 17770388239100/16895877537027*c_0101_5 + 19840516061360/16895877537027, c_0011_5 + 1253959177148/5631959179009*c_0101_5^16 + 479539250948/5631959179009*c_0101_5^15 + 333643515878/5631959179009*c_0101_5^14 - 1011140354497/5631959179009*c_0101_5^13 - 9051671815309/5631959179009*c_0101_5^12 - 14670964192827/5631959179009*c_0101_5^11 - 20585969477982/5631959179009*c_0101_5^10 + 1364276868757/5631959179009*c_0101_5^9 - 7143653472875/5631959179009*c_0101_5^8 + 52851252483752/5631959179009*c_0101_5^7 + 72349475894268/5631959179009*c_0101_5^6 - 57452984753166/5631959179009*c_0101_5^5 - 14869616476381/5631959179009*c_0101_5^4 + 27583985818237/5631959179009*c_0101_5^3 + 7565193466142/5631959179009*c_0101_5^2 + 4493655380965/5631959179009*c_0101_5 - 7286800756953/5631959179009, c_0101_0 + 2944638524333/16895877537027*c_0101_5^16 + 1380123604499/16895877537027*c_0101_5^15 + 1979675054480/16895877537027*c_0101_5^14 - 905324402899/5631959179009*c_0101_5^13 - 20371040010026/16895877537027*c_0101_5^12 - 38448298702049/16895877537027*c_0101_5^11 - 19094041464380/5631959179009*c_0101_5^10 - 3491671074983/5631959179009*c_0101_5^9 - 9983604181688/5631959179009*c_0101_5^8 + 131751784935236/16895877537027*c_0101_5^7 + 54921111719607/5631959179009*c_0101_5^6 - 51355930199161/16895877537027*c_0101_5^5 - 12376646246601/5631959179009*c_0101_5^4 + 39471901165348/16895877537027*c_0101_5^3 + 27641601605345/16895877537027*c_0101_5^2 + 4659090300278/16895877537027*c_0101_5 - 5786719955564/16895877537027, c_0101_1 - 1, c_0101_2 + 1699637268271/16895877537027*c_0101_5^16 - 2045924042465/16895877537027*c_0101_5^15 + 416053503985/16895877537027*c_0101_5^14 - 1264948272022/5631959179009*c_0101_5^13 - 9394997397124/16895877537027*c_0101_5^12 - 3378057811456/16895877537027*c_0101_5^11 - 141938077775/5631959179009*c_0101_5^10 + 15338652429562/5631959179009*c_0101_5^9 - 3167162053818/5631959179009*c_0101_5^8 + 118490928595936/16895877537027*c_0101_5^7 - 9318001854282/5631959179009*c_0101_5^6 - 153741284924084/16895877537027*c_0101_5^5 + 16637626988310/5631959179009*c_0101_5^4 - 7059452797660/16895877537027*c_0101_5^3 - 12109981613198/16895877537027*c_0101_5^2 - 17627734082039/16895877537027*c_0101_5 - 16291502606077/16895877537027, c_0101_5^17 - c_0101_5^14 - 7*c_0101_5^13 - 9*c_0101_5^12 - 11*c_0101_5^11 + 9*c_0101_5^10 - 3*c_0101_5^9 + 46*c_0101_5^8 + 44*c_0101_5^7 - 71*c_0101_5^6 - 4*c_0101_5^5 + 29*c_0101_5^4 - 7*c_0101_5^3 - 8*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB