Magma V2.19-8 Tue Aug 20 2013 16:16:14 on localhost [Seed = 1494795674] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0489 geometric_solution 4.50883171 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 1 1 0 3201 0132 1023 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.893761865665 0.139525822585 2 0 0 2 0132 0132 1023 3201 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 0 0 0 0 1 0 0 -1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.113789077558 0.643566615818 1 1 3 3 0132 2310 0132 3201 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 1 0 -1 -1 0 1 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 0.104076287472 0.131371162079 4 2 5 2 0132 2310 0132 0132 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 1 -1 0 1 0 0 -1 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.573284363070 2.815929047268 3 5 5 6 0132 3201 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 -1 1 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 0.209935017965 0.823670578009 6 4 4 3 3201 0213 2310 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 -1 0 1 0 0 0 0 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.209935017965 0.823670578009 6 6 4 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.606512521193 0.632310670971 ==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_5'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : d['c_0011_5'], '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_3']), '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' : d['c_0011_3'], 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0011_5'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0011_5'], '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_0011_5'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : 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_3, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 36 Groebner basis: [ t + 17202242829604695129511/481899935008700622947*c_0101_5^17 + 14172236647010991938003/481899935008700622947*c_0101_5^16 - 233036875119529265160023/481899935008700622947*c_0101_5^15 - 56998075760352851615275/481899935008700622947*c_0101_5^14 + 1881125893368194633262046/481899935008700622947*c_0101_5^13 + 1279631907193321738039201/481899935008700622947*c_0101_5^12 - 6476446248890490671410253/481899935008700622947*c_0101_5^11 - 5045469278620131263066269/481899935008700622947*c_0101_5^10 + 792196698164154016744563/37069225769900047919*c_0101_5^9 + 10918304210516252363299651/481899935008700622947*c_0101_5^8 - 8592868734028443117338830/481899935008700622947*c_0101_5^7 - 1124943516392399036739465/37069225769900047919*c_0101_5^6 + 1574373781080696995327109/481899935008700622947*c_0101_5^5 + 3344215947380506247370496/481899935008700622947*c_0101_5^4 - 1218651200132226852980474/481899935008700622947*c_0101_5^3 - 183833145827405398747543/481899935008700622947*c_0101_5^2 + 159425180543849352618424/481899935008700622947*c_0101_5 + 13193813054208362561753/481899935008700622947, c_0011_0 - 1, c_0011_3 + 401871165930493664675/481899935008700622947*c_0101_5^17 + 198323490439282855768/481899935008700622947*c_0101_5^16 - 5542377733231290785156/481899935008700622947*c_0101_5^15 + 478426038737798840138/481899935008700622947*c_0101_5^14 + 44232719937014585918717/481899935008700622947*c_0101_5^13 + 15306810566005685216968/481899935008700622947*c_0101_5^12 - 159907099718258611106601/481899935008700622947*c_0101_5^11 - 66828818902817483469426/481899935008700622947*c_0101_5^10 + 21157805522055116711072/37069225769900047919*c_0101_5^9 + 171383985221417124955418/481899935008700622947*c_0101_5^8 - 277457018967138250742844/481899935008700622947*c_0101_5^7 - 20504166407488105764949/37069225769900047919*c_0101_5^6 + 143307526025908700932358/481899935008700622947*c_0101_5^5 + 54097531665271521256498/481899935008700622947*c_0101_5^4 - 53299308140341507337592/481899935008700622947*c_0101_5^3 + 9282452352783524976110/481899935008700622947*c_0101_5^2 + 4497933390368467895628/481899935008700622947*c_0101_5 - 784904882399904364604/481899935008700622947, c_0011_5 + 143393431862367233220/481899935008700622947*c_0101_1*c_0101_\ 5^17 + 24218439752474945673/481899935008700622947*c_0101_1*c_0101_5\ ^16 - 1991035021184427613944/481899935008700622947*c_0101_1*c_0101_\ 5^15 + 815710533401849064123/481899935008700622947*c_0101_1*c_0101_\ 5^14 + 15598780701102302208953/481899935008700622947*c_0101_1*c_010\ 1_5^13 + 373643173926014701889/481899935008700622947*c_0101_1*c_010\ 1_5^12 - 57833965769698404843582/481899935008700622947*c_0101_1*c_0\ 101_5^11 - 5128239048240038587758/481899935008700622947*c_0101_1*c_\ 0101_5^10 + 606130271555327580649/2851478905376926763*c_0101_1*c_01\ 01_5^9 + 28413155552988714875568/481899935008700622947*c_0101_1*c_0\ 101_5^8 - 113583487768940697952984/481899935008700622947*c_0101_1*c\ _0101_5^7 - 4639700707103003848497/37069225769900047919*c_0101_1*c_\ 0101_5^6 + 77359580102358934570484/481899935008700622947*c_0101_1*c\ _0101_5^5 - 1704864227846096033622/481899935008700622947*c_0101_1*c\ _0101_5^4 - 23160908524919821563270/481899935008700622947*c_0101_1*\ c_0101_5^3 + 8504170576692093818565/481899935008700622947*c_0101_1*\ c_0101_5^2 - 445302226683475044817/481899935008700622947*c_0101_1*c\ _0101_5 - 237817623121824227750/481899935008700622947*c_0101_1, c_0011_6 + 394976311567863443436/481899935008700622947*c_0101_1*c_0101_\ 5^17 + 229324018198157378875/481899935008700622947*c_0101_1*c_0101_\ 5^16 - 5428384230892640776277/481899935008700622947*c_0101_1*c_0101\ _5^15 - 1502386819231003923/481899935008700622947*c_0101_1*c_0101_5\ ^14 + 43490143820843453910252/481899935008700622947*c_0101_1*c_0101\ _5^13 + 18807006010534023716010/481899935008700622947*c_0101_1*c_01\ 01_5^12 - 155653809087149339306427/481899935008700622947*c_0101_1*c\ _0101_5^11 - 79076821680668693746703/481899935008700622947*c_0101_1\ *c_0101_5^10 + 20309185447918406147708/37069225769900047919*c_0101_\ 1*c_0101_5^9 + 190830345934355882255057/481899935008700622947*c_010\ 1_1*c_0101_5^8 - 257472312501095628116091/481899935008700622947*c_0\ 101_1*c_0101_5^7 - 21796685549907727071480/37069225769900047919*c_0\ 101_1*c_0101_5^6 + 118334192560243873035725/481899935008700622947*c\ _0101_1*c_0101_5^5 + 62623040969617017806920/481899935008700622947*\ c_0101_1*c_0101_5^4 - 49611682776052403378732/481899935008700622947\ *c_0101_1*c_0101_5^3 + 5899711547510530024384/481899935008700622947\ *c_0101_1*c_0101_5^2 + 5369522417473114162153/481899935008700622947\ *c_0101_1*c_0101_5 - 922028767621547568560/481899935008700622947*c_\ 0101_1, c_0101_0 - 1709728018976111648503/481899935008700622947*c_0101_1*c_0101\ _5^17 - 630075703961594678586/481899935008700622947*c_0101_1*c_0101\ _5^16 + 23672048195099300962547/481899935008700622947*c_0101_1*c_01\ 01_5^15 - 4972396001669780111063/481899935008700622947*c_0101_1*c_0\ 101_5^14 - 187756671501852380749647/481899935008700622947*c_0101_1*\ c_0101_5^13 - 41841427590549021039217/481899935008700622947*c_0101_\ 1*c_0101_5^12 + 687224683222729107465881/481899935008700622947*c_01\ 01_1*c_0101_5^11 + 200460905760193866993278/481899935008700622947*c\ _0101_1*c_0101_5^10 - 92407810518126090611150/37069225769900047919*\ c_0101_1*c_0101_5^9 - 586895206095515391726646/48189993500870062294\ 7*c_0101_1*c_0101_5^8 + 1264801974980835610673815/48189993500870062\ 2947*c_0101_1*c_0101_5^7 + 76255361785517818830619/3706922576990004\ 7919*c_0101_1*c_0101_5^6 - 742840879401133833310983/481899935008700\ 622947*c_0101_1*c_0101_5^5 - 157501764634067253315353/4818999350087\ 00622947*c_0101_1*c_0101_5^4 + 247445408743202855260180/48189993500\ 8700622947*c_0101_1*c_0101_5^3 - 61263091823864586878159/4818999350\ 08700622947*c_0101_1*c_0101_5^2 - 12593419301087155853957/481899935\ 008700622947*c_0101_1*c_0101_5 + 4744786424194378028264/48189993500\ 8700622947*c_0101_1, c_0101_1^2 - 5373344186483799975159/5300899285095706852417*c_0101_5^17 - 2375139463780639831432/5300899285095706852417*c_0101_5^16 + 74212146599592535608925/5300899285095706852417*c_0101_5^15 - 10184802032559559085124/5300899285095706852417*c_0101_5^14 - 590687848153650828794940/5300899285095706852417*c_0101_5^13 - 15892635118080837796058/481899935008700622947*c_0101_5^12 + 2145717185439093019949193/5300899285095706852417*c_0101_5^11 + 786518694121915539392449/5300899285095706852417*c_0101_5^10 - 285595624710095417572993/407761483468900527109*c_0101_5^9 - 2112269109803160014818916/5300899285095706852417*c_0101_5^8 + 3809575235047448491040651/5300899285095706852417*c_0101_5^7 + 260315159215108718551654/407761483468900527109*c_0101_5^6 - 2073600299975165754456342/5300899285095706852417*c_0101_5^5 - 631917491174986112384062/5300899285095706852417*c_0101_5^4 + 726227474721990938041252/5300899285095706852417*c_0101_5^3 - 151109046287530343177135/5300899285095706852417*c_0101_5^2 - 4540391953591443443791/481899935008700622947*c_0101_5 + 9673126063904153995615/5300899285095706852417, c_0101_5^18 - 14*c_0101_5^16 + 8*c_0101_5^15 + 109*c_0101_5^14 - 16*c_0101_5^13 - 413*c_0101_5^12 + 30*c_0101_5^11 + 753*c_0101_5^10 + 88*c_0101_5^9 - 878*c_0101_5^8 - 316*c_0101_5^7 + 659*c_0101_5^6 - 55*c_0101_5^5 - 183*c_0101_5^4 + 87*c_0101_5^3 - 4*c_0101_5^2 - 6*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB