Magma V2.19-8 Tue Aug 20 2013 16:15:50 on localhost [Seed = 2581071283] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0058 geometric_solution 3.61940928 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 1023 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 -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 0.779303016528 0.072790173607 0 3 0 4 0132 0132 1023 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 1 -1 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 0.478801908677 0.366685647004 5 0 5 0 0132 0132 1023 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 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 0.864713313746 0.028883031202 6 1 6 4 0132 0132 3120 1230 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 2 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 0.020159302932 1.960765056013 3 6 1 6 3012 1302 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 1 0 0 0 -1 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 0.020159302932 1.960765056013 2 5 2 5 0132 2310 1023 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 0.891557965609 0.018488523362 3 4 3 4 0132 2310 3120 2031 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 -1 1 -2 0 1 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 0.020159302932 1.960765056013 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(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' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_0'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], '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_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_4']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_3'], '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 50603488012540295901/6868067115863700560*c_0101_5^16 - 3377015388021367077/1717016778965925140*c_0101_5^15 + 357695064448295648663/3434033557931850280*c_0101_5^14 - 550062292374835415449/6868067115863700560*c_0101_5^13 - 4293369836489911703233/6868067115863700560*c_0101_5^12 + 3074339002834396823951/3434033557931850280*c_0101_5^11 + 5718824381599543525991/3434033557931850280*c_0101_5^10 - 10886328618545633787247/3434033557931850280*c_0101_5^9 - 1150615400401496657393/624369737805790960*c_0101_5^8 + 33953471401050665179103/6868067115863700560*c_0101_5^7 + 812590567189563048163/3434033557931850280*c_0101_5^6 - 5785682315732591401223/1717016778965925140*c_0101_5^5 + 6237233577454678405107/6868067115863700560*c_0101_5^4 + 2249576731039245232967/3434033557931850280*c_0101_5^3 - 2910762788591082729983/6868067115863700560*c_0101_5^2 + 244949300598660374501/1717016778965925140*c_0101_5 - 71698082290336426591/3434033557931850280, c_0011_0 - 1, c_0011_4 + 3143006053516776/7804621722572387*c_0101_5^16 - 3431532155221049/7804621722572387*c_0101_5^15 - 49865419383764574/7804621722572387*c_0101_5^14 + 86949751794718996/7804621722572387*c_0101_5^13 + 271747785128056543/7804621722572387*c_0101_5^12 - 713512750233791850/7804621722572387*c_0101_5^11 - 538337995115003074/7804621722572387*c_0101_5^10 + 2350117196386614676/7804621722572387*c_0101_5^9 + 115724094077326331/7804621722572387*c_0101_5^8 - 3547214191044260832/7804621722572387*c_0101_5^7 + 869552367502405954/7804621722572387*c_0101_5^6 + 2355175895119431732/7804621722572387*c_0101_5^5 - 983207355545807395/7804621722572387*c_0101_5^4 - 454151620099135243/7804621722572387*c_0101_5^3 + 307006299681146034/7804621722572387*c_0101_5^2 - 86922092359587044/7804621722572387*c_0101_5 + 11168289640362767/7804621722572387, c_0101_0 - 5810420320669806/7804621722572387*c_0101_5^16 - 4478644976393603/7804621722572387*c_0101_5^15 + 80258521209613599/7804621722572387*c_0101_5^14 - 22526883553583518/7804621722572387*c_0101_5^13 - 510067194733006169/7804621722572387*c_0101_5^12 + 451302473059025910/7804621722572387*c_0101_5^11 + 1579806001583562406/7804621722572387*c_0101_5^10 - 1743642676496660600/7804621722572387*c_0101_5^9 - 2466486065043944841/7804621722572387*c_0101_5^8 + 2834327878524407270/7804621722572387*c_0101_5^7 + 1849959773245278477/7804621722572387*c_0101_5^6 - 2084966281683027652/7804621722572387*c_0101_5^5 - 511854841456488370/7804621722572387*c_0101_5^4 + 577511355216158222/7804621722572387*c_0101_5^3 - 25913554010297123/7804621722572387*c_0101_5^2 + 13930618543027304/7804621722572387*c_0101_5 + 10636530547082926/7804621722572387, c_0101_1 + 6044290273442229/7804621722572387*c_0101_5^16 + 4479653909945741/7804621722572387*c_0101_5^15 - 83564563713597117/7804621722572387*c_0101_5^14 + 25935444871464456/7804621722572387*c_0101_5^13 + 529063245319813698/7804621722572387*c_0101_5^12 - 484634019348915565/7804621722572387*c_0101_5^11 - 1624431666766168766/7804621722572387*c_0101_5^10 + 1855976128375627054/7804621722572387*c_0101_5^9 + 2497335267683804379/7804621722572387*c_0101_5^8 - 3000906656689036218/7804621722572387*c_0101_5^7 - 1816087022517234027/7804621722572387*c_0101_5^6 + 2178926274792559305/7804621722572387*c_0101_5^5 + 455345299658495008/7804621722572387*c_0101_5^4 - 591218730952639022/7804621722572387*c_0101_5^3 + 45991835291203215/7804621722572387*c_0101_5^2 - 2879652967975115/7804621722572387*c_0101_5 - 9814900385261260/7804621722572387, c_0101_2 - 6268751429359791/7804621722572387*c_0101_5^16 - 4484696279110009/7804621722572387*c_0101_5^15 + 86739688032011708/7804621722572387*c_0101_5^14 - 29160982092234410/7804621722572387*c_0101_5^13 - 547351120441041973/7804621722572387*c_0101_5^12 + 516491429732439403/7804621722572387*c_0101_5^11 + 1667619130456917080/7804621722572387*c_0101_5^10 - 1963907445289850623/7804621722572387*c_0101_5^9 - 2527947126845337837/7804621722572387*c_0101_5^8 + 3162164980345587989/7804621722572387*c_0101_5^7 + 1785004955928835297/7804621722572387*c_0101_5^6 - 2279899217697035106/7804621722572387*c_0101_5^5 - 402121335730203522/7804621722572387*c_0101_5^4 + 593949359405840904/7804621722572387*c_0101_5^3 - 64967401344794007/7804621722572387*c_0101_5^2 + 14981657465623337/7804621722572387*c_0101_5 + 9016529562153456/7804621722572387, c_0101_3 + 15622722900456/7804621722572387*c_0101_5^16 + 3372817439204/7804621722572387*c_0101_5^15 - 251369913212954/7804621722572387*c_0101_5^14 + 155917558923742/7804621722572387*c_0101_5^13 + 1562088772170784/7804621722572387*c_0101_5^12 - 1932933805648563/7804621722572387*c_0101_5^11 - 3607179930314650/7804621722572387*c_0101_5^10 + 6464489304209088/7804621722572387*c_0101_5^9 + 1625771545737069/7804621722572387*c_0101_5^8 + 606505388876618/7804621722572387*c_0101_5^7 + 5013968984392681/7804621722572387*c_0101_5^6 - 3044416088490217/7804621722572387*c_0101_5^5 - 6703489523899866/7804621722572387*c_0101_5^4 - 30009828026567144/7804621722572387*c_0101_5^3 + 2341095663830818/7804621722572387*c_0101_5^2 + 22869819508784262/7804621722572387*c_0101_5 + 48908577837863/7804621722572387, c_0101_5^17 + 1/3*c_0101_5^16 - 14*c_0101_5^15 + 10*c_0101_5^14 + 84*c_0101_5^13 - 115*c_0101_5^12 - 225*c_0101_5^11 + 1213/3*c_0101_5^10 + 767/3*c_0101_5^9 - 1858/3*c_0101_5^8 - 53*c_0101_5^7 + 1229/3*c_0101_5^6 - 292/3*c_0101_5^5 - 221/3*c_0101_5^4 + 47*c_0101_5^3 - 56/3*c_0101_5^2 + 8/3*c_0101_5 - 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB