Magma V2.19-8 Tue Aug 20 2013 16:14:15 on localhost [Seed = 4273955538] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s217 geometric_solution 4.36060143 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 2 0132 2310 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 1.980608029307 0.710797636269 0 1 1 0 0132 3201 2310 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 -0.679156461878 0.118177409261 0 3 4 0 3201 0132 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 1 0 -1 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 0.866181835450 0.628938230247 5 2 4 4 0132 0132 1302 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 -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 0.386978848624 0.595276365946 3 3 5 2 2031 2310 1023 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 -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 0.386978848624 0.595276365946 3 5 4 5 0132 2310 1023 3201 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 1 -1 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 0.201374803119 0.884400515421 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : negation(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' : negation(d['c_0011_2']), 'c_1100_4' : d['c_0011_2'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], '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' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], '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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 570748203012462/21705144937877*c_0101_5^12 - 876443406774217/21705144937877*c_0101_5^11 + 4042737517320488/21705144937877*c_0101_5^10 - 7017532337178414/21705144937877*c_0101_5^9 - 49575238535076128/21705144937877*c_0101_5^8 + 72048134874732460/21705144937877*c_0101_5^7 + 95624507869780779/21705144937877*c_0101_5^6 - 73923996975547790/21705144937877*c_0101_5^5 - 55901653732515439/21705144937877*c_0101_5^4 + 11334982337414925/21705144937877*c_0101_5^3 + 13516606550502779/21705144937877*c_0101_5^2 + 2624322638919914/21705144937877*c_0101_5 - 518816953264400/21705144937877, c_0011_0 - 1, c_0011_2 + 7175967287628/21705144937877*c_0101_5^12 - 8563510997070/21705144937877*c_0101_5^11 + 50210189695898/21705144937877*c_0101_5^10 - 74503347462600/21705144937877*c_0101_5^9 - 631671418435371/21705144937877*c_0101_5^8 + 660672378799320/21705144937877*c_0101_5^7 + 1233264680762854/21705144937877*c_0101_5^6 - 234380691146513/21705144937877*c_0101_5^5 - 458094074259876/21705144937877*c_0101_5^4 - 204385378356893/21705144937877*c_0101_5^3 - 20992311532075/21705144937877*c_0101_5^2 + 17264082877342/21705144937877*c_0101_5 + 13300366997475/21705144937877, c_0011_4 - 29721340206460/21705144937877*c_0101_5^12 + 32866076643242/21705144937877*c_0101_5^11 - 202989897433076/21705144937877*c_0101_5^10 + 285258257087090/21705144937877*c_0101_5^9 + 2659415984612961/21705144937877*c_0101_5^8 - 2547501656330406/21705144937877*c_0101_5^7 - 5481814366172235/21705144937877*c_0101_5^6 + 944383569896921/21705144937877*c_0101_5^5 + 2088626876015161/21705144937877*c_0101_5^4 + 504602531757516/21705144937877*c_0101_5^3 - 60592144838135/21705144937877*c_0101_5^2 - 62091005046245/21705144937877*c_0101_5 + 3384199949274/21705144937877, c_0101_0 - 2031150410388/21705144937877*c_0101_5^12 - 8579908854536/21705144937877*c_0101_5^11 - 2001026676001/21705144937877*c_0101_5^10 - 55320438687525/21705144937877*c_0101_5^9 + 286608608369780/21705144937877*c_0101_5^8 + 788116921867787/21705144937877*c_0101_5^7 - 1279959845249606/21705144937877*c_0101_5^6 - 1858463485118887/21705144937877*c_0101_5^5 + 337826765773904/21705144937877*c_0101_5^4 + 669863243131816/21705144937877*c_0101_5^3 + 295205571715124/21705144937877*c_0101_5^2 + 17177859347832/21705144937877*c_0101_5 - 24918279652537/21705144937877, c_0101_1 - 29601929071044/21705144937877*c_0101_5^12 + 29297508636534/21705144937877*c_0101_5^11 - 197869190979734/21705144937877*c_0101_5^10 + 261286274544897/21705144937877*c_0101_5^9 + 2683630230773931/21705144937877*c_0101_5^8 - 2225756804763486/21705144937877*c_0101_5^7 - 5812916920984424/21705144937877*c_0101_5^6 + 248173972051615/21705144937877*c_0101_5^5 + 2399329394518566/21705144937877*c_0101_5^4 + 903171254927623/21705144937877*c_0101_5^3 - 87101884294642/21705144937877*c_0101_5^2 - 128871590102273/21705144937877*c_0101_5 - 5382510268986/21705144937877, c_0101_5^13 - 3/2*c_0101_5^12 + 7*c_0101_5^11 - 12*c_0101_5^10 - 175/2*c_0101_5^9 + 247/2*c_0101_5^8 + 349/2*c_0101_5^7 - 127*c_0101_5^6 - 215/2*c_0101_5^5 + 19*c_0101_5^4 + 57/2*c_0101_5^3 + 6*c_0101_5^2 - 2*c_0101_5 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB