Magma V2.19-8 Tue Aug 20 2013 16:16:04 on localhost [Seed = 2227509317] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0312 geometric_solution 4.34908251 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 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 1 0 -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 1.508644149402 0.900240275459 0 4 5 2 0132 0132 0132 1302 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 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 1.083091512219 0.626661841915 5 0 1 4 1302 0132 2031 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.083091512219 0.626661841915 0 6 6 0 3201 0132 3201 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.287544828636 0.111758201205 2 1 5 5 3012 0132 3201 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 0 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 0.577142617680 0.429789328487 4 2 4 1 2310 2031 0132 0132 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 0 -1 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 -0.114578449381 0.830009617433 3 3 6 6 2310 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5.857565626830 1.208049259173 ==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' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_0' : negation(d['1']), 's_2_0' : negation(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' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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_6' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_6'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_5']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_5'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : negation(d['c_0011_5']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_3']), '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_0011_0']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 36144301113917659/775545000695600*c_0101_6^11 - 20564340058728519/48471562543475*c_0101_6^10 + 559246661812436829/387772500347800*c_0101_6^9 - 203279000609500599/387772500347800*c_0101_6^8 - 2360860560826312141/387772500347800*c_0101_6^7 - 4458327076439162843/387772500347800*c_0101_6^6 - 1239346797874250579/193886250173900*c_0101_6^5 - 392501008908873531/96943125086950*c_0101_6^4 - 1108777327777315437/387772500347800*c_0101_6^3 + 105076799909137339/387772500347800*c_0101_6^2 + 273962058262937339/387772500347800*c_0101_6 - 378192368401402797/775545000695600, c_0011_0 - 1, c_0011_3 + 99224655627/3127197583450*c_0101_6^11 - 482876119986/1563598791725*c_0101_6^10 + 1822909567902/1563598791725*c_0101_6^9 - 1550208807212/1563598791725*c_0101_6^8 - 6070304236608/1563598791725*c_0101_6^7 - 8043613299569/1563598791725*c_0101_6^6 + 390374542526/1563598791725*c_0101_6^5 - 1510285556627/1563598791725*c_0101_6^4 - 1276650752366/1563598791725*c_0101_6^3 + 3021955556732/1563598791725*c_0101_6^2 + 2632689753552/1563598791725*c_0101_6 - 516499696401/3127197583450, c_0011_5 - 5215172515/500351613352*c_0101_6^11 + 42196157653/312719758345*c_0101_6^10 - 853102801021/1250879033380*c_0101_6^9 + 1637152013711/1250879033380*c_0101_6^8 + 1347891793129/1250879033380*c_0101_6^7 - 3417654388169/1250879033380*c_0101_6^6 - 1145617708473/125087903338*c_0101_6^5 - 1827809974287/312719758345*c_0101_6^4 - 3049363853023/1250879033380*c_0101_6^3 - 3166801875851/1250879033380*c_0101_6^2 - 85399623799/1250879033380*c_0101_6 + 1868360546689/2501758066760, c_0101_0 + 88582618737/3127197583450*c_0101_6^11 - 441226005576/1563598791725*c_0101_6^10 + 1708645717292/1563598791725*c_0101_6^9 - 1587307834452/1563598791725*c_0101_6^8 - 5740343518993/1563598791725*c_0101_6^7 - 5393435019244/1563598791725*c_0101_6^6 + 4076742347731/1563598791725*c_0101_6^5 + 1434928429828/1563598791725*c_0101_6^4 - 504369009181/1563598791725*c_0101_6^3 + 4913331859297/1563598791725*c_0101_6^2 + 1361883310982/1563598791725*c_0101_6 - 1670486893251/3127197583450, c_0101_1 - 43231709133/12508790333800*c_0101_6^11 + 76338616091/1563598791725*c_0101_6^10 - 1713362366643/6254395166900*c_0101_6^9 + 4026843653533/6254395166900*c_0101_6^8 + 708886114047/6254395166900*c_0101_6^7 - 11439821213339/6254395166900*c_0101_6^6 - 6653289825177/3127197583450*c_0101_6^5 + 2295110902432/1563598791725*c_0101_6^4 + 16669979648859/6254395166900*c_0101_6^3 + 2600978173687/6254395166900*c_0101_6^2 + 5421932806427/6254395166900*c_0101_6 + 3469321140619/12508790333800, c_0101_5 - 5215172515/500351613352*c_0101_6^11 + 42196157653/312719758345*c_0101_6^10 - 853102801021/1250879033380*c_0101_6^9 + 1637152013711/1250879033380*c_0101_6^8 + 1347891793129/1250879033380*c_0101_6^7 - 3417654388169/1250879033380*c_0101_6^6 - 1145617708473/125087903338*c_0101_6^5 - 1827809974287/312719758345*c_0101_6^4 - 3049363853023/1250879033380*c_0101_6^3 - 3166801875851/1250879033380*c_0101_6^2 - 85399623799/1250879033380*c_0101_6 + 1868360546689/2501758066760, c_0101_6^12 - 9*c_0101_6^11 + 30*c_0101_6^10 - 8*c_0101_6^9 - 132*c_0101_6^8 - 260*c_0101_6^7 - 162*c_0101_6^6 - 100*c_0101_6^5 - 70*c_0101_6^4 + 16*c_0101_6^2 - 9*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB