Magma V2.19-8 Tue Aug 20 2013 16:14:42 on localhost [Seed = 543276093] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s680 geometric_solution 5.17839397 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 0 2 0 0132 1302 0132 2031 0 0 0 0 0 -1 1 0 -1 0 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 1 0 -1 1 0 0 -1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.802560753291 1.181139152480 0 3 4 2 0132 0132 0132 1230 0 0 0 0 0 0 0 0 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 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 0.678020728020 0.815454870926 1 4 3 0 3012 3201 0132 0132 0 0 0 0 0 1 0 -1 0 0 0 0 0 -1 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.678020728020 0.815454870926 5 1 5 2 0132 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.859721971826 0.376033878012 4 4 2 1 1230 3012 2310 0132 0 0 0 0 0 -1 1 0 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 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 0.862244524954 1.297636297256 3 3 5 5 0132 3201 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.556826716122 0.203955477274 ==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_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_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_5' : d['c_0101_3'], 'c_1100_4' : d['c_0011_2'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_4'], 'c_0101_0' : d['c_0011_2'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : 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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0011_2'], 'c_0110_0' : d['c_0011_4'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0011_2'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0101_2, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 21 Groebner basis: [ t - 24098233863467/6540129997267*c_0101_4^20 - 198127505823067/6540129997267*c_0101_4^19 - 11493098667999/159515365787*c_0101_4^18 + 472669200245146/6540129997267*c_0101_4^17 + 4189908993218311/6540129997267*c_0101_4^16 + 349067291148657/384713529251*c_0101_4^15 - 4907362659953947/6540129997267*c_0101_4^14 - 22644706566502160/6540129997267*c_0101_4^13 - 16588342361943949/6540129997267*c_0101_4^12 + 21434229827899112/6540129997267*c_0101_4^11 + 42673225484785672/6540129997267*c_0101_4^10 + 9490697199573961/6540129997267*c_0101_4^9 - 33141356093083206/6540129997267*c_0101_4^8 - 25811230286013797/6540129997267*c_0101_4^7 + 8003752155931102/6540129997267*c_0101_4^6 + 14345734504855896/6540129997267*c_0101_4^5 - 2520495999635/384713529251*c_0101_4^4 - 210370025552352/384713529251*c_0101_4^3 + 612562033506992/6540129997267*c_0101_4^2 + 13849290911780/159515365787*c_0101_4 - 183362345640223/6540129997267, c_0011_0 - 1, c_0011_2 + 218652448255/6540129997267*c_0101_4^20 + 1796471991767/6540129997267*c_0101_4^19 + 140270960300/159515365787*c_0101_4^18 + 8830979330848/6540129997267*c_0101_4^17 + 860219207737/6540129997267*c_0101_4^16 - 2727133576014/384713529251*c_0101_4^15 - 182714994488419/6540129997267*c_0101_4^14 - 331800852207213/6540129997267*c_0101_4^13 - 102774494764089/6540129997267*c_0101_4^12 + 747514219362849/6540129997267*c_0101_4^11 + 1410974934139550/6540129997267*c_0101_4^10 + 629759981683069/6540129997267*c_0101_4^9 - 1169652397827256/6540129997267*c_0101_4^8 - 1837484737658504/6540129997267*c_0101_4^7 - 578671064844401/6540129997267*c_0101_4^6 + 792095389160745/6540129997267*c_0101_4^5 + 45116415680276/384713529251*c_0101_4^4 + 5251153541222/384713529251*c_0101_4^3 - 147383391161456/6540129997267*c_0101_4^2 - 1149413053901/159515365787*c_0101_4 + 7865682225947/6540129997267, c_0011_4 - 973619415812/6540129997267*c_0101_4^20 - 9195688004279/6540129997267*c_0101_4^19 - 697692088731/159515365787*c_0101_4^18 - 1975965863833/6540129997267*c_0101_4^17 + 200710562392416/6540129997267*c_0101_4^16 + 26776344475965/384713529251*c_0101_4^15 + 64240615833639/6540129997267*c_0101_4^14 - 1278879121032149/6540129997267*c_0101_4^13 - 1938867499819097/6540129997267*c_0101_4^12 + 120757513133162/6540129997267*c_0101_4^11 + 3257254021741456/6540129997267*c_0101_4^10 + 3038062851348506/6540129997267*c_0101_4^9 - 908804371129310/6540129997267*c_0101_4^8 - 3416983231295969/6540129997267*c_0101_4^7 - 1638008183279742/6540129997267*c_0101_4^6 + 1006249930391094/6540129997267*c_0101_4^5 + 70127801500140/384713529251*c_0101_4^4 + 7965856165875/384713529251*c_0101_4^3 - 208425945324481/6540129997267*c_0101_4^2 - 1137824710688/159515365787*c_0101_4 + 8141775480368/6540129997267, c_0101_2 - 3485881464686/6540129997267*c_0101_4^20 - 33014933569571/6540129997267*c_0101_4^19 - 2619546821684/159515365787*c_0101_4^18 - 48650759407314/6540129997267*c_0101_4^17 + 590792980537455/6540129997267*c_0101_4^16 + 92812205344135/384713529251*c_0101_4^15 + 922800667658025/6540129997267*c_0101_4^14 - 2728994093032177/6540129997267*c_0101_4^13 - 5707044666646246/6540129997267*c_0101_4^12 - 2332616106187524/6540129997267*c_0101_4^11 + 5161682937994345/6540129997267*c_0101_4^10 + 7164834899135709/6540129997267*c_0101_4^9 + 1090483993767169/6540129997267*c_0101_4^8 - 4181433267547100/6540129997267*c_0101_4^7 - 2759398095083048/6540129997267*c_0101_4^6 + 563941504499747/6540129997267*c_0101_4^5 + 53406716072728/384713529251*c_0101_4^4 - 1844239043179/384713529251*c_0101_4^3 - 121180617646105/6540129997267*c_0101_4^2 + 649696051573/159515365787*c_0101_4 + 5639037930510/6540129997267, c_0101_3 - 2168996977/9383256811*c_0101_4^20 - 13501838524/9383256811*c_0101_4^19 - 2429142086/9383256811*c_0101_4^18 + 165958241539/9383256811*c_0101_4^17 + 403153608202/9383256811*c_0101_4^16 - 13263745849/551956283*c_0101_4^15 - 2245729238058/9383256811*c_0101_4^14 - 2695313824414/9383256811*c_0101_4^13 + 2335930632002/9383256811*c_0101_4^12 + 8511298173319/9383256811*c_0101_4^11 + 5132845503112/9383256811*c_0101_4^10 - 6838212552066/9383256811*c_0101_4^9 - 11382021367013/9383256811*c_0101_4^8 - 1946707352129/9383256811*c_0101_4^7 + 7069637278370/9383256811*c_0101_4^6 + 4629398351363/9383256811*c_0101_4^5 - 74749404224/551956283*c_0101_4^4 - 107190330478/551956283*c_0101_4^3 - 21795755014/9383256811*c_0101_4^2 + 231149049274/9383256811*c_0101_4 + 592692613/9383256811, c_0101_4^21 + 9*c_0101_4^20 + 26*c_0101_4^19 - 4*c_0101_4^18 - 188*c_0101_4^17 - 381*c_0101_4^16 + 8*c_0101_4^15 + 1088*c_0101_4^14 + 1407*c_0101_4^13 - 369*c_0101_4^12 - 2477*c_0101_4^11 - 1745*c_0101_4^10 + 1178*c_0101_4^9 + 2268*c_0101_4^8 + 497*c_0101_4^7 - 1012*c_0101_4^6 - 603*c_0101_4^5 + 153*c_0101_4^4 + 166*c_0101_4^3 - 7*c_0101_4^2 - 15*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB