Magma V2.19-8 Tue Aug 20 2013 16:17:31 on localhost [Seed = 1259001744] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1761 geometric_solution 5.44836927 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 2103 0 0 0 0 0 -1 0 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 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 -0.406943540268 0.602231093686 0 4 3 5 0132 0132 0213 0132 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 -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 0.920745426349 0.647554665137 6 0 3 0 0132 0132 3201 2103 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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.406943540268 0.602231093686 2 1 6 0 2310 0213 3120 0132 0 0 0 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 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 0 0 -0.214110738082 0.368607912350 6 1 4 4 1023 0132 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 1.115970628076 0.993146331944 5 6 1 5 3012 2310 0132 1230 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 -1 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 0.814300829124 0.626402191663 2 4 3 5 0132 1023 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.920745426349 0.647554665137 ==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' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0110_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], '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' : negation(d['c_0110_4']), 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0011_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : negation(d['c_0101_0']), 'c_1010_6' : d['c_0110_4'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : negation(d['c_0110_4']), 'c_1010_0' : negation(d['c_0011_5'])})} 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_0101_0, c_0101_4, c_0101_6, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 45869378964/2146979555*c_0110_4^11 + 256863962226/2146979555*c_0110_4^10 - 665616137756/2146979555*c_0110_4^9 + 71174038706/126292915*c_0110_4^8 - 1630314918791/2146979555*c_0110_4^7 + 1159957155953/2146979555*c_0110_4^6 - 525305820281/2146979555*c_0110_4^5 + 392512322287/2146979555*c_0110_4^4 - 88444928092/429395911*c_0110_4^3 + 47201208252/2146979555*c_0110_4^2 - 58476627673/2146979555*c_0110_4 - 51319662787/2146979555, c_0011_0 - 1, c_0011_3 + 249235692/61342273*c_0110_4^11 - 1344635364/61342273*c_0110_4^10 + 3356475203/61342273*c_0110_4^9 - 351380312/3608369*c_0110_4^8 + 7813990216/61342273*c_0110_4^7 - 4937955967/61342273*c_0110_4^6 + 2112111835/61342273*c_0110_4^5 - 1665392188/61342273*c_0110_4^4 + 1875115529/61342273*c_0110_4^3 - 297911410/61342273*c_0110_4^2 + 90246810/61342273*c_0110_4 + 253699844/61342273, c_0011_5 - 325655118/61342273*c_0110_4^11 + 1750131507/61342273*c_0110_4^10 - 4341260433/61342273*c_0110_4^9 + 452295095/3608369*c_0110_4^8 - 10028292266/61342273*c_0110_4^7 + 6241118122/61342273*c_0110_4^6 - 2671050209/61342273*c_0110_4^5 + 2262306441/61342273*c_0110_4^4 - 2328185552/61342273*c_0110_4^3 + 128483843/61342273*c_0110_4^2 - 49187684/61342273*c_0110_4 - 283508280/61342273, c_0101_0 - 219834255/61342273*c_0110_4^11 + 1166340615/61342273*c_0110_4^10 - 2840422759/61342273*c_0110_4^9 + 290068765/3608369*c_0110_4^8 - 6247921886/61342273*c_0110_4^7 + 3442441652/61342273*c_0110_4^6 - 1098548677/61342273*c_0110_4^5 + 1094346705/61342273*c_0110_4^4 - 1426818672/61342273*c_0110_4^3 + 14155180/61342273*c_0110_4^2 + 183813/61342273*c_0110_4 - 188469889/61342273, c_0101_4 + 768222/212257*c_0110_4^11 - 4173609/212257*c_0110_4^10 + 10475709/212257*c_0110_4^9 - 18675385/212257*c_0110_4^8 + 24479946/212257*c_0110_4^7 - 15576408/212257*c_0110_4^6 + 6333617/212257*c_0110_4^5 - 4825928/212257*c_0110_4^4 + 5473757/212257*c_0110_4^3 - 856013/212257*c_0110_4^2 + 123213/212257*c_0110_4 + 690069/212257, c_0101_6 - 249235692/61342273*c_0110_4^11 + 1344635364/61342273*c_0110_4^10 - 3356475203/61342273*c_0110_4^9 + 351380312/3608369*c_0110_4^8 - 7813990216/61342273*c_0110_4^7 + 4937955967/61342273*c_0110_4^6 - 2112111835/61342273*c_0110_4^5 + 1665392188/61342273*c_0110_4^4 - 1875115529/61342273*c_0110_4^3 + 297911410/61342273*c_0110_4^2 - 90246810/61342273*c_0110_4 - 253699844/61342273, c_0110_4^12 - 5*c_0110_4^11 + 34/3*c_0110_4^10 - 56/3*c_0110_4^9 + 22*c_0110_4^8 - 23/3*c_0110_4^7 + c_0110_4^6 - 11/3*c_0110_4^5 + 14/3*c_0110_4^4 + 2*c_0110_4^3 + c_0110_4 + 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB