Magma V2.19-8 Tue Aug 20 2013 16:19:12 on localhost [Seed = 762097705] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3325 geometric_solution 6.46034621 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 3201 0132 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 0 1 -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 0 0 -0.302670047390 1.193053899852 0 3 4 3 0132 2310 0132 3201 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.468759276445 0.559349967204 0 0 5 4 2310 0132 0132 3201 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 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 0.772199135115 0.969342419914 5 1 0 1 1023 2310 0132 3201 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 1 -1 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 0.468759276445 0.559349967204 6 2 5 1 0132 2310 1302 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 -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 0.597092812861 0.521225695890 4 3 6 2 2031 1023 1023 0132 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 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 0.597092812861 0.521225695890 4 6 5 6 0132 1302 1023 2031 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 -1 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 0.182007034088 1.451551184072 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : negation(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' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_1'], '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_3'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0110_3'], 'c_1001_2' : d['c_0110_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0110_3'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0110_3']), 'c_1010_0' : d['c_0110_3']})} 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_4, c_0101_0, c_0101_1, c_0101_2, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 107677737600360466/518184060206471*c_0110_3^14 - 636365091945254983/1036368120412942*c_0110_3^13 - 317074699290718825/1036368120412942*c_0110_3^12 + 1824548569260450128/518184060206471*c_0110_3^11 + 778881693236425539/1036368120412942*c_0110_3^10 - 3909923124473931911/1036368120412942*c_0110_3^9 - 1727316154586554391/1036368120412942*c_0110_3^8 + 75168759138749689/60962830612526*c_0110_3^7 + 1367391186660953301/1036368120412942*c_0110_3^6 + 219514371978261011/1036368120412942*c_0110_3^5 - 531871561052846455/1036368120412942*c_0110_3^4 - 198621485961822821/1036368120412942*c_0110_3^3 + 251353890333229/518184060206471*c_0110_3^2 + 1331719554350025/60962830612526*c_0110_3 + 2016362359630291/518184060206471, c_0011_0 - 1, c_0011_3 - 177400094796848/30481415306263*c_0110_3^14 + 606501774596166/30481415306263*c_0110_3^13 + 27383188278895/30481415306263*c_0110_3^12 - 3154095952365384/30481415306263*c_0110_3^11 + 748309003518257/30481415306263*c_0110_3^10 + 3645109753147241/30481415306263*c_0110_3^9 - 44545789773870/30481415306263*c_0110_3^8 - 1703542287285899/30481415306263*c_0110_3^7 - 657235376467756/30481415306263*c_0110_3^6 + 268454229550572/30481415306263*c_0110_3^5 + 529857796076221/30481415306263*c_0110_3^4 - 13581436735876/30481415306263*c_0110_3^3 - 129761210524463/30481415306263*c_0110_3^2 - 26316648276745/30481415306263*c_0110_3 + 5823019440323/30481415306263, c_0011_4 - 80115495665799/30481415306263*c_0110_3^14 + 289940575775284/30481415306263*c_0110_3^13 - 30209057343823/30481415306263*c_0110_3^12 - 1509989230650431/30481415306263*c_0110_3^11 + 745266381212179/30481415306263*c_0110_3^10 + 1850512913919939/30481415306263*c_0110_3^9 - 1099587538804979/30481415306263*c_0110_3^8 - 1142892767612027/30481415306263*c_0110_3^7 + 630878090360900/30481415306263*c_0110_3^6 + 653201576400990/30481415306263*c_0110_3^5 - 61159837296496/30481415306263*c_0110_3^4 - 356715128648794/30481415306263*c_0110_3^3 - 85542205206527/30481415306263*c_0110_3^2 + 95680794137683/30481415306263*c_0110_3 + 28108131797206/30481415306263, c_0101_0 - c_0110_3, c_0101_1 - 64053213843553/30481415306263*c_0110_3^14 + 398674833529122/30481415306263*c_0110_3^13 - 583209696834874/30481415306263*c_0110_3^12 - 1232748212425756/30481415306263*c_0110_3^11 + 3439423904941211/30481415306263*c_0110_3^10 + 934543614735090/30481415306263*c_0110_3^9 - 3680047869789179/30481415306263*c_0110_3^8 - 1038535826126208/30481415306263*c_0110_3^7 + 1342515081985873/30481415306263*c_0110_3^6 + 971678426245198/30481415306263*c_0110_3^5 + 69280897988162/30481415306263*c_0110_3^4 - 547326854397190/30481415306263*c_0110_3^3 - 85409893749615/30481415306263*c_0110_3^2 + 75987717456908/30481415306263*c_0110_3 + 32139667717068/30481415306263, c_0101_2 - 199125297243785/30481415306263*c_0110_3^14 + 577455107064693/30481415306263*c_0110_3^13 + 405829680164222/30481415306263*c_0110_3^12 - 3584887852181076/30481415306263*c_0110_3^11 - 1061724912264913/30481415306263*c_0110_3^10 + 4947698935792416/30481415306263*c_0110_3^9 + 2255752416619383/30481415306263*c_0110_3^8 - 2639913599682675/30481415306263*c_0110_3^7 - 2103476460068137/30481415306263*c_0110_3^6 + 256080816177962/30481415306263*c_0110_3^5 + 1063703054634457/30481415306263*c_0110_3^4 + 295622550692854/30481415306263*c_0110_3^3 - 212153187556433/30481415306263*c_0110_3^2 - 82748552869994/30481415306263*c_0110_3 - 8791410850104/30481415306263, c_0110_3^15 - 38/11*c_0110_3^14 - 4/11*c_0110_3^13 + 207/11*c_0110_3^12 - 49/11*c_0110_3^11 - 289/11*c_0110_3^10 + 6/11*c_0110_3^9 + 186/11*c_0110_3^8 + 62/11*c_0110_3^7 - 54/11*c_0110_3^6 - 58/11*c_0110_3^5 + 3/11*c_0110_3^4 + 17/11*c_0110_3^3 + 4/11*c_0110_3^2 - 1/11*c_0110_3 - 1/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB