Magma V2.19-8 Tue Aug 20 2013 16:14:23 on localhost [Seed = 4155927509] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s378 geometric_solution 4.59786363 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 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 0.385100009183 0.192915338499 2 0 3 0 0132 2310 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.539094445069 0.846956694651 1 4 3 3 0132 0132 3012 1230 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.298391052126 1.460129558238 2 2 4 1 3012 1230 3201 0132 0 0 0 0 0 0 0 0 1 0 -1 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 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.298391052126 1.460129558238 3 2 5 5 2310 0132 2310 0132 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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.316443184045 0.513677207578 5 4 4 5 3012 3201 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 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 -0.178888650122 1.039344920129 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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' : negation(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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(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_0011_5'], 'c_1100_4' : d['c_0011_5'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : 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_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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_3, c_0011_5, c_0101_0, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 1/2, c_0011_0 - 1, c_0011_1 + 1, c_0011_3 - 1, c_0011_5 + 1, c_0101_0 - c_0101_3, c_0101_3^2 - 2 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_5, c_0101_0, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 1980055017508922037009565/400537436995160078321158*c_0101_3^16 + 168285666110047250166344977/400537436995160078321158*c_0101_3^14 - 897328211003503695665627797/400537436995160078321158*c_0101_3^12 - 10843565937601010513909813515/400537436995160078321158*c_0101_3^10 - 44852580177654164210761361386/200268718497580039160579*c_0101_3^8 + 65258847607848876710423378100/200268718497580039160579*c_0101_3^6 - 66927414043994671749513086471/400537436995160078321158*c_0101_3^4 + 8416138504453971444656985974/200268718497580039160579*c_0101_3^2 - 1821839453809067181797165383/400537436995160078321158, c_0011_0 - 1, c_0011_1 - 335956675568384316605/36412494272287279847378*c_0101_3^16 + 28444461664275123971013/36412494272287279847378*c_0101_3^14 - 71526761796331247064643/18206247136143639923689*c_0101_3^12 - 943005039695803588894614/18206247136143639923689*c_0101_3^10 - 7915274221537740195520857/18206247136143639923689*c_0101_3^8 + 8510669662570868581713174/18206247136143639923689*c_0101_3^6 - 5894726521075830735969651/36412494272287279847378*c_0101_3^4 + 498957950617187763448534/18206247136143639923689*c_0101_3^2 - 13877199046678051074949/18206247136143639923689, c_0011_3 - 152312406733191351411/36412494272287279847378*c_0101_3^16 + 12912001266100052400769/36412494272287279847378*c_0101_3^14 - 33109812427039103057363/18206247136143639923689*c_0101_3^12 - 424280977758908505339354/18206247136143639923689*c_0101_3^10 - 3542255044845613683149216/18206247136143639923689*c_0101_3^8 + 4252099171873623728883834/18206247136143639923689*c_0101_3^6 - 3272375809004986352243171/36412494272287279847378*c_0101_3^4 + 278795669260539081248696/18206247136143639923689*c_0101_3^2 - 5457283565842353204091/18206247136143639923689, c_0011_5 - 39377110628118164469/36412494272287279847378*c_0101_3^16 + 3336967734701897150899/36412494272287279847378*c_0101_3^14 - 8510291618172825316222/18206247136143639923689*c_0101_3^12 - 109994015247062775987849/18206247136143639923689*c_0101_3^10 - 918704809689216324386348/18206247136143639923689*c_0101_3^8 + 1076086331322824271875576/18206247136143639923689*c_0101_3^6 - 724556480729842778528085/36412494272287279847378*c_0101_3^4 + 19907554541114462298061/18206247136143639923689*c_0101_3^2 + 588070636603850196033/18206247136143639923689, c_0101_0 - 98661463742950136201/72824988544574559694756*c_0101_3^17 + 8181352316815572755909/72824988544574559694756*c_0101_3^15 - 13727160553956483326899/36412494272287279847378*c_0101_3^13 - 156611590386397044893143/18206247136143639923689*c_0101_3^11 - 1404404027554926521312575/18206247136143639923689*c_0101_3^9 - 788663028409004725554012/18206247136143639923689*c_0101_3^7 + 6571083921066189747487023/72824988544574559694756*c_0101_3^5 - 656856491412298963393328/18206247136143639923689*c_0101_3^3 + 138807271117129217773196/18206247136143639923689*c_0101_3, c_0101_3^18 - 85*c_0101_3^16 + 454*c_0101_3^14 + 5472*c_0101_3^12 + 45252*c_0101_3^10 - 66348*c_0101_3^8 + 34461*c_0101_3^6 - 8836*c_0101_3^4 + 1000*c_0101_3^2 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB