Magma V2.19-8 Tue Aug 20 2013 17:58:16 on localhost [Seed = 1343349768] Type ? for help. Type -D to quit. Loading file "10^2_60__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_60 geometric_solution 11.36375264 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 1 0 -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 0.781226980089 0.484610414667 0 3 5 4 0132 3120 0132 2103 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 1 0 -1 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 1.243761312531 0.736777799860 6 0 7 6 0132 0132 0132 2031 0 1 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 -1 0 1 1 0 -1 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 0.075649170397 0.573392945006 8 1 8 0 0132 3120 3120 0132 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 1 -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 0.370848386501 0.441552581134 9 10 0 1 0132 0132 0132 2103 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 1 -1 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 0.807729543385 0.712924432274 9 11 8 1 3120 0132 2031 0132 1 1 0 1 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 -1 1 0 0 0 0 5 -4 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.085666887537 1.238046400307 2 2 7 12 0132 1302 1302 0132 1 1 0 0 0 0 1 -1 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 5 -5 -1 0 0 1 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.773845566969 1.714167593653 6 12 10 2 2031 2031 2103 0132 0 1 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 -5 0 4 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 1.004882321803 0.813271622220 3 11 3 5 0132 0213 3120 1302 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 -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 0.370848386501 0.441552581134 4 12 11 5 0132 0321 2031 3120 1 1 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 0 0 0 0 0 0 0 0 5 0 -5 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 0.759594394044 0.926409008875 7 4 11 12 2103 0132 3201 2031 0 1 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 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.193953226714 0.864535725329 10 5 8 9 2310 0132 0213 1302 1 1 1 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 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.213030821165 0.559088248820 7 10 6 9 1302 1302 0132 0321 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 5 -5 0 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 0.386038961723 0.309054549860 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_0011_3'], 'c_1001_12' : d['c_0110_10'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0011_12'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : negation(d['c_0011_7']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : d['c_0011_12'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_1001_1'], 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : negation(d['c_0101_3']), 'c_1010_10' : d['c_0011_12'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_3']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_3'], 'c_1100_8' : negation(d['c_0101_3']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_9']), 'c_1100_4' : negation(d['c_0101_0']), 'c_1100_7' : negation(d['c_0110_10']), 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : negation(d['c_0101_9']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : negation(d['c_0110_10']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_9'], 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : d['c_0110_10'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0011_12'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : d['c_0101_9'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_10'], 's_1_7' : d['1'], 's_1_6' : negation(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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0110_6' : negation(d['c_0011_7']), '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_0110_11' : negation(d['c_0101_10']), 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_12' : negation(d['c_0011_7']), 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : d['c_0011_0'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : negation(d['c_0011_7']), 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_7']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_7']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : negation(d['c_0011_7']), 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_9, c_0110_10, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 2646981988439/686385845600*c_1001_1^13 + 433848718651/98055120800*c_1001_1^12 + 8184874888479/343192922800*c_1001_1^11 + 1431713248883/343192922800*c_1001_1^10 - 22761244209553/171596461400*c_1001_1^9 + 6729193623203/171596461400*c_1001_1^8 + 33978975720709/343192922800*c_1001_1^7 + 112808583475499/343192922800*c_1001_1^6 - 119686651558757/137277169120*c_1001_1^5 + 123519056633361/98055120800*c_1001_1^4 - 249159574502647/171596461400*c_1001_1^3 + 157282835028353/171596461400*c_1001_1^2 - 38327451208351/137277169120*c_1001_1 + 8273455125853/686385845600, c_0011_0 - 1, c_0011_10 - 40263387/65998639*c_1001_1^13 + 8980877/9428377*c_1001_1^12 + 231189778/65998639*c_1001_1^11 - 62982482/65998639*c_1001_1^10 - 1411251719/65998639*c_1001_1^9 + 993998392/65998639*c_1001_1^8 + 929256208/65998639*c_1001_1^7 + 2951979990/65998639*c_1001_1^6 - 10591653221/65998639*c_1001_1^5 + 2399418603/9428377*c_1001_1^4 - 20214401386/65998639*c_1001_1^3 + 15162216152/65998639*c_1001_1^2 - 5953701920/65998639*c_1001_1 + 953292608/65998639, c_0011_11 + 89521955/263994556*c_1001_1^13 - 20823815/37713508*c_1001_1^12 - 252560793/131997278*c_1001_1^11 + 87489247/131997278*c_1001_1^10 + 782054780/65998639*c_1001_1^9 - 605160334/65998639*c_1001_1^8 - 954817547/131997278*c_1001_1^7 - 3183074183/131997278*c_1001_1^6 + 23948478317/263994556*c_1001_1^5 - 5577339961/37713508*c_1001_1^4 + 11784891101/65998639*c_1001_1^3 - 9099336994/65998639*c_1001_1^2 + 15373893695/263994556*c_1001_1 - 2363862481/263994556, c_0011_12 + 258387599/263994556*c_1001_1^13 - 57574091/37713508*c_1001_1^12 - 739246605/131997278*c_1001_1^11 + 196977827/131997278*c_1001_1^10 + 2253954404/65998639*c_1001_1^9 - 1590930158/65998639*c_1001_1^8 - 2857480837/131997278*c_1001_1^7 - 9465735649/131997278*c_1001_1^6 + 67688752645/263994556*c_1001_1^5 - 15487067433/37713508*c_1001_1^4 + 32661964956/65998639*c_1001_1^3 - 24679694715/65998639*c_1001_1^2 + 40067314347/263994556*c_1001_1 - 6444753969/263994556, c_0011_3 + 202142849/263994556*c_1001_1^13 - 44966249/37713508*c_1001_1^12 - 578240475/131997278*c_1001_1^11 + 151724905/131997278*c_1001_1^10 + 1761958840/65998639*c_1001_1^9 - 1239373710/65998639*c_1001_1^8 - 2221034913/131997278*c_1001_1^7 - 7423388715/131997278*c_1001_1^6 + 52861706391/263994556*c_1001_1^5 - 12114910635/37713508*c_1001_1^4 + 25564117931/65998639*c_1001_1^3 - 19345107645/65998639*c_1001_1^2 + 31988786693/263994556*c_1001_1 - 5244676903/263994556, c_0011_7 - 7723/11564*c_1001_1^13 + 1787/1652*c_1001_1^12 + 22139/5782*c_1001_1^11 - 6777/5782*c_1001_1^10 - 68107/2891*c_1001_1^9 + 49040/2891*c_1001_1^8 + 83393/5782*c_1001_1^7 + 287243/5782*c_1001_1^6 - 2034941/11564*c_1001_1^5 + 473861/1652*c_1001_1^4 - 1011643/2891*c_1001_1^3 + 768230/2891*c_1001_1^2 - 1316071/11564*c_1001_1 + 237033/11564, c_0101_0 - 1, c_0101_1 + 258387599/263994556*c_1001_1^13 - 57574091/37713508*c_1001_1^12 - 739246605/131997278*c_1001_1^11 + 196977827/131997278*c_1001_1^10 + 2253954404/65998639*c_1001_1^9 - 1590930158/65998639*c_1001_1^8 - 2857480837/131997278*c_1001_1^7 - 9465735649/131997278*c_1001_1^6 + 67688752645/263994556*c_1001_1^5 - 15487067433/37713508*c_1001_1^4 + 32661964956/65998639*c_1001_1^3 - 24679694715/65998639*c_1001_1^2 + 40067314347/263994556*c_1001_1 - 6708748525/263994556, c_0101_10 + 258387599/263994556*c_1001_1^13 - 57574091/37713508*c_1001_1^12 - 739246605/131997278*c_1001_1^11 + 196977827/131997278*c_1001_1^10 + 2253954404/65998639*c_1001_1^9 - 1590930158/65998639*c_1001_1^8 - 2857480837/131997278*c_1001_1^7 - 9465735649/131997278*c_1001_1^6 + 67688752645/263994556*c_1001_1^5 - 15487067433/37713508*c_1001_1^4 + 32661964956/65998639*c_1001_1^3 - 24679694715/65998639*c_1001_1^2 + 40067314347/263994556*c_1001_1 - 6444753969/263994556, c_0101_3 + 202142849/263994556*c_1001_1^13 - 44966249/37713508*c_1001_1^12 - 578240475/131997278*c_1001_1^11 + 151724905/131997278*c_1001_1^10 + 1761958840/65998639*c_1001_1^9 - 1239373710/65998639*c_1001_1^8 - 2221034913/131997278*c_1001_1^7 - 7423388715/131997278*c_1001_1^6 + 52861706391/263994556*c_1001_1^5 - 12114910635/37713508*c_1001_1^4 + 25564117931/65998639*c_1001_1^3 - 19345107645/65998639*c_1001_1^2 + 31724792137/263994556*c_1001_1 - 5244676903/263994556, c_0101_9 + 56310447/131997278*c_1001_1^13 - 12071217/18856754*c_1001_1^12 - 162839841/65998639*c_1001_1^11 + 32117829/65998639*c_1001_1^10 + 979904060/65998639*c_1001_1^9 - 634213376/65998639*c_1001_1^8 - 633108683/65998639*c_1001_1^7 - 2120157266/65998639*c_1001_1^6 + 14456614037/131997278*c_1001_1^5 - 3268785337/18856754*c_1001_1^4 + 13779226830/65998639*c_1001_1^3 - 10245770651/65998639*c_1001_1^2 + 8307446499/131997278*c_1001_1 - 1440407211/131997278, c_0110_10 + 29245709/65998639*c_1001_1^13 - 4914626/9428377*c_1001_1^12 - 181449150/65998639*c_1001_1^11 - 30155080/65998639*c_1001_1^10 + 1009839869/65998639*c_1001_1^9 - 301858755/65998639*c_1001_1^8 - 728844780/65998639*c_1001_1^7 - 2507166670/65998639*c_1001_1^6 + 6603277067/65998639*c_1001_1^5 - 1387728637/9428377*c_1001_1^4 + 11290197622/65998639*c_1001_1^3 - 7144981626/65998639*c_1001_1^2 + 2320392576/65998639*c_1001_1 - 275938672/65998639, c_1001_1^14 - 2*c_1001_1^13 - 5*c_1001_1^12 + 4*c_1001_1^11 + 34*c_1001_1^10 - 40*c_1001_1^9 - 10*c_1001_1^8 - 64*c_1001_1^7 + 293*c_1001_1^6 - 538*c_1001_1^5 + 699*c_1001_1^4 - 616*c_1001_1^3 + 337*c_1001_1^2 - 102*c_1001_1 + 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.150 Total time: 0.360 seconds, Total memory usage: 32.09MB