Magma V2.19-8 Tue Aug 20 2013 16:15:55 on localhost [Seed = 2050745921] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0150 geometric_solution 3.64409873 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 1 0 1 2310 0132 3201 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508586416881 0.016543628793 2 0 2 0 0132 0132 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 -0.889670362479 0.187093753143 1 1 3 3 0132 3201 0132 2310 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 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 4.390093415568 1.600102674579 2 4 5 2 3201 0132 0132 0132 0 0 0 0 0 0 0 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 0 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 -0.293020000175 0.982617961509 5 3 6 5 2310 0132 0132 2031 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.202138153990 0.403349994674 6 4 4 3 1023 1302 3201 0132 0 0 0 0 0 0 0 0 -1 0 0 1 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 0.202138153990 0.403349994674 6 5 6 4 2031 1023 1302 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 1 0 -1 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.998232275543 0.504644989653 ==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' : negation(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' : negation(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' : negation(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' : d['1'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(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_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_5'], '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_4']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : negation(d['c_0101_4']), 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : d['c_0101_2']})} 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_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t - 1902567402604089/168607272112202*c_0101_4^12 + 2785782585392029/168607272112202*c_0101_4^11 + 11590859815999974/84303636056101*c_0101_4^10 + 14361903711157909/12043376579443*c_0101_4^9 + 30717310596345669/84303636056101*c_0101_4^8 + 768410265125034047/168607272112202*c_0101_4^7 + 24773870993182204/12043376579443*c_0101_4^6 + 493447185785638501/84303636056101*c_0101_4^5 + 55983234235265515/15327933828382*c_0101_4^4 + 497704765315882715/168607272112202*c_0101_4^3 + 360068824424580085/168607272112202*c_0101_4^2 + 88138650836678917/168607272112202*c_0101_4 + 24947633677284891/84303636056101, c_0011_0 - 1, c_0011_3 + 89728980577/2189704832626*c_0101_4^12 - 16120891607/1094852416313*c_0101_4^11 - 1320658365083/2189704832626*c_0101_4^10 - 5303571796735/1094852416313*c_0101_4^9 - 12301089863643/2189704832626*c_0101_4^8 - 15135290138580/1094852416313*c_0101_4^7 - 25099956870316/1094852416313*c_0101_4^6 - 32960730122819/2189704832626*c_0101_4^5 - 57343132295179/2189704832626*c_0101_4^4 - 5753801658019/1094852416313*c_0101_4^3 - 8857005889305/1094852416313*c_0101_4^2 - 324571051413/1094852416313*c_0101_4 + 134432646478/1094852416313, c_0011_5 - 534629260085/15327933828382*c_0101_2*c_0101_4^12 + 2210789519245/15327933828382*c_0101_2*c_0101_4^11 + 4330689654499/15327933828382*c_0101_2*c_0101_4^10 + 2761156894330/1094852416313*c_0101_2*c_0101_4^9 - 66120701126625/7663966914191*c_0101_2*c_0101_4^8 + 188226672145097/15327933828382*c_0101_2*c_0101_4^7 - 58353024245577/2189704832626*c_0101_2*c_0101_4^6 + 61992617966682/7663966914191*c_0101_2*c_0101_4^5 - 378123668814131/15327933828382*c_0101_2*c_0101_4^4 - 4010681085639/15327933828382*c_0101_2*c_0101_4^3 - 43877166081674/7663966914191*c_0101_2*c_0101_4^2 + 3608129906489/7663966914191*c_0101_2*c_0101_4 - 441449129010/7663966914191*c_0101_2, c_0101_0 + 850184553901/15327933828382*c_0101_2*c_0101_4^12 - 2278918165691/15327933828382*c_0101_2*c_0101_4^11 - 8774074312897/15327933828382*c_0101_2*c_0101_4^10 - 5571667476187/1094852416313*c_0101_2*c_0101_4^9 + 82607831615795/15327933828382*c_0101_2*c_0101_4^8 - 155256365559161/7663966914191*c_0101_2*c_0101_4^7 + 45781150348953/2189704832626*c_0101_2*c_0101_4^6 - 333925243885927/15327933828382*c_0101_2*c_0101_4^5 + 242435691366163/7663966914191*c_0101_2*c_0101_4^4 - 36381304090178/7663966914191*c_0101_2*c_0101_4^3 + 155296174892742/7663966914191*c_0101_2*c_0101_4^2 + 7582029735158/7663966914191*c_0101_2*c_0101_4 + 21684867549815/7663966914191*c_0101_2, c_0101_1 + 902212822548/7663966914191*c_0101_2*c_0101_4^12 - 2314405548181/15327933828382*c_0101_2*c_0101_4^11 - 23370830736783/15327933828382*c_0101_2*c_0101_4^10 - 13845769247358/1094852416313*c_0101_2*c_0101_4^9 - 40339808385032/7663966914191*c_0101_2*c_0101_4^8 - 319071896789253/7663966914191*c_0101_2*c_0101_4^7 - 55445496112427/2189704832626*c_0101_2*c_0101_4^6 - 671559027855157/15327933828382*c_0101_2*c_0101_4^5 - 455811385028781/15327933828382*c_0101_2*c_0101_4^4 - 217871542614211/15327933828382*c_0101_2*c_0101_4^3 - 54385833581147/7663966914191*c_0101_2*c_0101_4^2 - 9738605324521/7663966914191*c_0101_2*c_0101_4 + 1595782785794/7663966914191*c_0101_2, c_0101_2^2 - 53589173703/2189704832626*c_0101_4^12 - 12276342351/1094852416313*c_0101_4^11 + 879637896147/2189704832626*c_0101_4^10 + 3403219141269/1094852416313*c_0101_4^9 + 11709030032833/2189704832626*c_0101_4^8 + 8458408426472/1094852416313*c_0101_4^7 + 48913701431397/2189704832626*c_0101_4^6 + 7479378945347/1094852416313*c_0101_4^5 + 60542288036679/2189704832626*c_0101_4^4 + 4711698900213/2189704832626*c_0101_4^3 + 23169531360631/2189704832626*c_0101_4^2 + 1125057959297/2189704832626*c_0101_4 - 116833478843/1094852416313, c_0101_4^13 - 2*c_0101_4^12 - 11*c_0101_4^11 - 100*c_0101_4^10 + 20*c_0101_4^9 - 426*c_0101_4^8 + 47*c_0101_4^7 - 590*c_0101_4^6 - 9*c_0101_4^5 - 316*c_0101_4^4 - 31*c_0101_4^3 - 58*c_0101_4^2 - 4*c_0101_4 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB