Magma V2.19-8 Tue Aug 20 2013 16:17:15 on localhost [Seed = 3364443158] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1496 geometric_solution 5.30531071 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 1023 3201 0 0 0 0 0 -1 0 1 0 0 -1 1 0 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.754258770250 0.075024700041 0 2 0 2 0132 0132 1023 1023 0 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.606382068293 0.212280473734 3 1 4 1 0132 0132 0132 1023 0 0 0 0 0 0 0 0 -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 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.617165503146 1.846535517048 2 5 4 6 0132 0132 0213 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.339510468109 0.698216477607 6 3 5 2 3201 0213 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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.339510468109 0.698216477607 4 3 5 5 2310 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.436752930366 1.158339497371 6 6 3 4 1302 2031 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.469997877235 0.559241431032 ==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_0011_4'], 'c_1100_5' : negation(d['c_0101_4']), 'c_1100_4' : negation(d['c_0011_0']), '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_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_6' : negation(d['c_0101_4']), 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_4, c_0011_6, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 34 Groebner basis: [ t + 660798437/121883049*c_0101_5^16 + 5982620909/121883049*c_0101_5^15 - 7745683390/121883049*c_0101_5^14 - 48534687310/121883049*c_0101_5^13 - 36685843702/121883049*c_0101_5^12 + 3415627778/13542561*c_0101_5^11 + 21918983183/13542561*c_0101_5^10 + 113726632661/40627683*c_0101_5^9 + 225862066126/121883049*c_0101_5^8 - 73481823245/121883049*c_0101_5^7 - 129711838607/40627683*c_0101_5^6 - 58352647474/13542561*c_0101_5^5 - 449660830828/121883049*c_0101_5^4 - 31195413274/13542561*c_0101_5^3 - 124172883452/121883049*c_0101_5^2 - 39864850978/121883049*c_0101_5 - 7142682359/121883049, c_0011_0 - 1, c_0011_4 + 651949654/121883049*c_0101_1*c_0101_5^16 + 7944546514/121883049*c_0101_1*c_0101_5^15 + 16784616454/121883049*c_0101_1*c_0101_5^14 - 788826272/121883049*c_0101_1*c_0101_5^13 - 49378222577/121883049*c_0101_1*c_0101_5^12 - 13635341762/13542561*c_0101_1*c_0101_5^11 - 17594968625/13542561*c_0101_1*c_0101_5^10 - 26084522726/40627683*c_0101_1*c_0101_5^9 + 82112719976/121883049*c_0101_1*c_0101_5^8 + 233870509343/121883049*c_0101_1*c_0101_5^7 + 99772494578/40627683*c_0101_1*c_0101_5^6 + 28936354636/13542561*c_0101_1*c_0101_5^5 + 170115989836/121883049*c_0101_1*c_0101_5^4 + 9352768477/13542561*c_0101_1*c_0101_5^3 + 30626216714/121883049*c_0101_1*c_0101_5^2 + 7716419851/121883049*c_0101_1*c_0101_5 + 939752318/121883049*c_0101_1, c_0011_6 - 144462236/121883049*c_0101_1*c_0101_5^16 - 1189181120/121883049*c_0101_1*c_0101_5^15 + 2898937096/121883049*c_0101_1*c_0101_5^14 + 10967705977/121883049*c_0101_1*c_0101_5^13 + 4373499148/121883049*c_0101_1*c_0101_5^12 - 1294250594/13542561*c_0101_1*c_0101_5^11 - 5643653975/13542561*c_0101_1*c_0101_5^10 - 24326111105/40627683*c_0101_1*c_0101_5^9 - 37021786975/121883049*c_0101_1*c_0101_5^8 + 29980774379/121883049*c_0101_1*c_0101_5^7 + 31591730150/40627683*c_0101_1*c_0101_5^6 + 12792911032/13542561*c_0101_1*c_0101_5^5 + 92830138033/121883049*c_0101_1*c_0101_5^4 + 6122019361/13542561*c_0101_1*c_0101_5^3 + 23211814097/121883049*c_0101_1*c_0101_5^2 + 6995860330/121883049*c_0101_1*c_0101_5 + 1147725263/121883049*c_0101_1, c_0101_0 + 368150519/121883049*c_0101_1*c_0101_5^16 + 5142678428/121883049*c_0101_1*c_0101_5^15 + 17279813654/121883049*c_0101_1*c_0101_5^14 + 14155823378/121883049*c_0101_1*c_0101_5^13 - 32586264226/121883049*c_0101_1*c_0101_5^12 - 13092302851/13542561*c_0101_1*c_0101_5^11 - 22298477062/13542561*c_0101_1*c_0101_5^10 - 57222633694/40627683*c_0101_1*c_0101_5^9 + 5625125347/121883049*c_0101_1*c_0101_5^8 + 232693054777/121883049*c_0101_1*c_0101_5^7 + 128020951192/40627683*c_0101_1*c_0101_5^6 + 43075911992/13542561*c_0101_1*c_0101_5^5 + 282044048186/121883049*c_0101_1*c_0101_5^4 + 17044239791/13542561*c_0101_1*c_0101_5^3 + 61014319624/121883049*c_0101_1*c_0101_5^2 + 16810422266/121883049*c_0101_1*c_0101_5 + 2525154184/121883049*c_0101_1, c_0101_1^2 - 392021764/121883049*c_0101_5^16 - 5332231204/121883049*c_0101_5^15 - 17020998847/121883049*c_0101_5^14 - 15596213641/121883049*c_0101_5^13 + 28730146904/121883049*c_0101_5^12 + 13442987783/13542561*c_0101_5^11 + 23386069823/13542561*c_0101_5^10 + 65369039702/40627683*c_0101_5^9 + 19844023621/121883049*c_0101_5^8 - 233265373127/121883049*c_0101_5^7 - 137019415757/40627683*c_0101_5^6 - 48212206330/13542561*c_0101_5^5 - 325828828186/121883049*c_0101_5^4 - 20240936233/13542561*c_0101_5^3 - 75207041900/121883049*c_0101_5^2 - 21188764537/121883049*c_0101_5 - 3866111693/121883049, c_0101_4 + 360055067/121883049*c_0101_5^16 + 4141146569/121883049*c_0101_5^15 + 6455952128/121883049*c_0101_5^14 - 4644611086/121883049*c_0101_5^13 - 24023570092/121883049*c_0101_5^12 - 5786327101/13542561*c_0101_5^11 - 5859689941/13542561*c_0101_5^10 - 2728630432/40627683*c_0101_5^9 + 51582337885/121883049*c_0101_5^8 + 96846381817/121883049*c_0101_5^7 + 33766141780/40627683*c_0101_5^6 + 8374467428/13542561*c_0101_5^5 + 41232713207/121883049*c_0101_5^4 + 1817111336/13542561*c_0101_5^3 + 4654819735/121883049*c_0101_5^2 + 679297577/121883049*c_0101_5 + 133036081/121883049, c_0101_5^17 + 12*c_0101_5^16 + 24*c_0101_5^15 - 66*c_0101_5^13 - 181*c_0101_5^12 - 243*c_0101_5^11 - 150*c_0101_5^10 + 71*c_0101_5^9 + 324*c_0101_5^8 + 466*c_0101_5^7 + 453*c_0101_5^6 + 334*c_0101_5^5 + 191*c_0101_5^4 + 86*c_0101_5^3 + 29*c_0101_5^2 + 7*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB