Magma V2.19-8 Tue Aug 20 2013 16:16:08 on localhost [Seed = 1461111702] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0391 geometric_solution 4.45772793 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 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 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 0.694803937100 0.095285238266 2 0 2 0 0132 2310 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 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 0.892509948339 0.098450182381 1 3 1 3 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 0 1 -1 -1 0 1 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 0.882506426184 0.229452104337 4 2 5 2 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 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 1.209222710099 0.506822953416 3 5 5 6 0132 1230 3012 0132 0 0 0 0 0 -1 1 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.195481000005 0.800127220912 6 4 4 3 3201 1230 3012 0132 0 0 0 0 0 0 0 0 -1 0 1 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 -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 1.195481000005 0.800127220912 6 6 4 5 1302 2031 0132 2310 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 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 0.624891262650 0.621480051260 ==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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_1']), 'c_1100_5' : negation(d['c_0011_1']), 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_1'], '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' : negation(d['c_0011_6']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0011_1'], 'c_1001_4' : d['c_0011_1'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), '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_0011_0'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0011_0']), '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_1, 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: 20 Groebner basis: [ t - 2436327255397211485662434/355613245087242229382025*c_0101_5^19 - 41209286834069998838023993/355613245087242229382025*c_0101_5^17 - 430140617857753336710835682/355613245087242229382025*c_0101_5^15 - 1325089356758775272564806076/355613245087242229382025*c_0101_5^13 + 667990097430937962931929/1580503311498854352809*c_0101_5^11 + 1597772170776590042995502842/14224529803489689175281*c_0101_5^9 - 83904230247261270079919434508/355613245087242229382025*c_0101_5^7 + 4830581837074649201260671749/39512582787471358820225*c_0101_5^5 - 5694352893288870518942566276/355613245087242229382025*c_0101_5^3 - 298636975190119739042692774/355613245087242229382025*c_0101_5, c_0011_0 - 1, c_0011_1 - 5551102479767408758/1580503311498854352809*c_0101_5^18 - 95531686304382537938/1580503311498854352809*c_0101_5^16 - 1008058703339605709038/1580503311498854352809*c_0101_5^14 - 3313314631992196568483/1580503311498854352809*c_0101_5^12 - 600317679051726149419/1580503311498854352809*c_0101_5^10 + 90957998824506723290147/1580503311498854352809*c_0101_5^8 - 164253875146421124640501/1580503311498854352809*c_0101_5^6 + 47666481870711900979356/1580503311498854352809*c_0101_5^4 + 5257718312511211249327/1580503311498854352809*c_0101_5^2 - 292675053983230103864/1580503311498854352809, c_0011_6 - 7794437813742213991/1580503311498854352809*c_0101_5^18 - 136064424247632546124/1580503311498854352809*c_0101_5^16 - 1449104380925891204807/1580503311498854352809*c_0101_5^14 - 5011324101512078991497/1580503311498854352809*c_0101_5^12 - 2092929275687146265614/1580503311498854352809*c_0101_5^10 + 127129080072484119250318/1580503311498854352809*c_0101_5^8 - 199410364845357949703397/1580503311498854352809*c_0101_5^6 + 18257193807823991013853/1580503311498854352809*c_0101_5^4 + 14910906812359421044133/1580503311498854352809*c_0101_5^2 + 765932005082752063411/1580503311498854352809, c_0101_0 + 42763498860377683856/1580503311498854352809*c_0101_5^19 + 725948027871774860783/1580503311498854352809*c_0101_5^17 + 7594665588547325848737/1580503311498854352809*c_0101_5^15 + 23726142998970832714214/1580503311498854352809*c_0101_5^13 - 1167101218961124652067/1580503311498854352809*c_0101_5^11 - 701162603625343592322013/1580503311498854352809*c_0101_5^9 + 1429599114695023417581199/1580503311498854352809*c_0101_5^7 - 677042639427238791632480/1580503311498854352809*c_0101_5^5 + 63925322910186215318427/1580503311498854352809*c_0101_5^3 + 5235361259851264796644/1580503311498854352809*c_0101_5, c_0101_1 + 520624715903711091/1580503311498854352809*c_0101_5^18 + 9670196135487969551/1580503311498854352809*c_0101_5^16 + 107024953048486302279/1580503311498854352809*c_0101_5^14 + 444444870934019379683/1580503311498854352809*c_0101_5^12 + 531528812286160111901/1580503311498854352809*c_0101_5^10 - 8250602057016802102348/1580503311498854352809*c_0101_5^8 + 3967602380582585616197/1580503311498854352809*c_0101_5^6 + 12545819281953645517686/1580503311498854352809*c_0101_5^4 - 2587759833007809701458/1580503311498854352809*c_0101_5^2 + 781526705424761241841/1580503311498854352809, c_0101_4 + 6279893708281496928/1580503311498854352809*c_0101_5^19 + 101678936471566475420/1580503311498854352809*c_0101_5^17 + 1030057162935172161994/1580503311498854352809*c_0101_5^15 + 2581792187949365284518/1580503311498854352809*c_0101_5^13 - 3193776257527094841846/1580503311498854352809*c_0101_5^11 - 103791585078921140065137/1580503311498854352809*c_0101_5^9 + 290516139807842457941929/1580503311498854352809*c_0101_5^7 - 238305741996671310266332/1580503311498854352809*c_0101_5^5 + 42341486971056185935535/1580503311498854352809*c_0101_5^3 + 3734957160234426509069/1580503311498854352809*c_0101_5, c_0101_5^20 + 17*c_0101_5^18 + 178*c_0101_5^16 + 559*c_0101_5^14 - 15*c_0101_5^12 - 16400*c_0101_5^10 + 33037*c_0101_5^8 - 14919*c_0101_5^6 + 854*c_0101_5^4 + 296*c_0101_5^2 + 15 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB