Magma V2.19-8 Tue Aug 20 2013 16:14:29 on localhost [Seed = 4155927539] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s474 geometric_solution 4.84611077 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 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 -1 0 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 0.303811755267 1.144340489622 3 2 4 0 0132 3012 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 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 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 1.134026180740 1.223692815086 1 3 0 4 1230 2310 0132 2310 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 0 0 -1 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 0 0 0 0 1.134026180740 1.223692815086 1 3 3 2 0132 1230 3012 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.949535911956 0.548537339010 2 5 5 1 3201 0132 3201 0132 0 0 0 0 0 0 0 0 -1 0 0 1 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 0 0 0 0 0 0 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.144135053043 0.259013246844 4 4 5 5 2310 0132 2031 1302 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 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 1.254373666365 3.217710408544 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0011_1']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_1'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0011_1'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_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_1, c_0011_4, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 3778891714/178641791*c_0101_5^10 - 792464987801/5359253730*c_0101_5^9 + 1894459476767/5359253730*c_0101_5^8 - 2464323754459/5359253730*c_0101_5^7 + 1370140221401/2679626865*c_0101_5^6 - 696361927769/5359253730*c_0101_5^5 + 82186876025/1071850746*c_0101_5^4 - 24307709509/1786417910*c_0101_5^3 - 582697460579/5359253730*c_0101_5^2 + 237520522967/5359253730*c_0101_5 - 54992190599/1786417910, c_0011_0 - 1, c_0011_1 - 447156504/178641791*c_0101_5^10 + 1476843702/178641791*c_0101_5^9 - 1397841955/178641791*c_0101_5^8 + 2527440761/178641791*c_0101_5^7 + 546611713/178641791*c_0101_5^6 + 274122282/178641791*c_0101_5^5 + 459986255/178641791*c_0101_5^4 - 1043887306/178641791*c_0101_5^3 - 266010275/178641791*c_0101_5^2 - 320240949/178641791*c_0101_5 - 155830281/178641791, c_0011_4 + 532795980/178641791*c_0101_5^10 - 1867037177/178641791*c_0101_5^9 + 2191313182/178641791*c_0101_5^8 - 4063746353/178641791*c_0101_5^7 + 1085121084/178641791*c_0101_5^6 - 1991102956/178641791*c_0101_5^5 + 598171101/178641791*c_0101_5^4 + 833929945/178641791*c_0101_5^3 + 111292621/178641791*c_0101_5^2 + 604160889/178641791*c_0101_5 + 44444122/178641791, c_0101_0 - 451446612/178641791*c_0101_5^10 + 1321812367/178641791*c_0101_5^9 - 527048302/178641791*c_0101_5^8 + 1032471059/178641791*c_0101_5^7 + 2125405717/178641791*c_0101_5^6 - 741021783/178641791*c_0101_5^5 - 463019080/178641791*c_0101_5^4 - 849976263/178641791*c_0101_5^3 - 583437473/178641791*c_0101_5^2 + 240561072/178641791*c_0101_5 - 37218585/178641791, c_0101_1 + 899653884/178641791*c_0101_5^10 - 3350370493/178641791*c_0101_5^9 + 3556148162/178641791*c_0101_5^8 - 4512326814/178641791*c_0101_5^7 - 343009339/178641791*c_0101_5^6 + 1404441163/178641791*c_0101_5^5 + 976885975/178641791*c_0101_5^4 + 807236917/178641791*c_0101_5^3 - 886977311/178641791*c_0101_5^2 + 24243019/178641791*c_0101_5 + 162042762/178641791, c_0101_5^11 - 53/12*c_0101_5^10 + 83/12*c_0101_5^9 - 19/2*c_0101_5^8 + 23/4*c_0101_5^7 - 5/4*c_0101_5^6 + 17/12*c_0101_5^5 + 5/6*c_0101_5^4 - 4/3*c_0101_5^3 + 5/12*c_0101_5^2 - 1/6*c_0101_5 - 1/12 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB