Magma V2.19-8 Tue Aug 20 2013 16:17:50 on localhost [Seed = 509575932] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2069 geometric_solution 5.58798934 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 2 0132 3201 2310 0132 0 0 0 0 0 0 1 -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 1 -1 0 0 0 -1 1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.625271573384 0.799319382850 0 3 4 4 0132 0132 2310 0132 0 0 0 0 0 1 -1 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 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.119732802684 0.750950099997 5 5 0 3 0132 2310 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 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 0.119732802684 0.750950099997 6 1 2 6 0132 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.868417337692 0.525261999759 5 1 1 5 1230 3201 0132 3012 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 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 -0.457541837738 0.678107696587 2 4 4 2 0132 3012 1230 3201 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 -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 -0.457541837738 0.678107696587 3 6 6 3 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.227774305364 0.350341391825 ==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' : 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' : negation(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' : 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_6' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_0']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_2']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t - 624630669508/43424645*c_0101_6^25 - 2265719769622/43424645*c_0101_6^24 + 1559917558805/8684929*c_0101_6^23 + 6933118344494/8684929*c_0101_6^22 - 31806001966719/43424645*c_0101_6^21 - 43041938426351/8684929*c_0101_6^20 + 34532517509291/43424645*c_0101_6^19 + 745503419171573/43424645*c_0101_6^18 + 28962310293364/8684929*c_0101_6^17 - 1598048266291593/43424645*c_0101_6^16 - 622942292797983/43424645*c_0101_6^15 + 441160988898241/8684929*c_0101_6^14 + 35628523607609/1400795*c_0101_6^13 - 1997116611165321/43424645*c_0101_6^12 - 1123813140192569/43424645*c_0101_6^11 + 1185365928190559/43424645*c_0101_6^10 + 704861557646049/43424645*c_0101_6^9 - 455665609906229/43424645*c_0101_6^8 - 276515313112578/43424645*c_0101_6^7 + 109538143617403/43424645*c_0101_6^6 + 13224871945195/8684929*c_0101_6^5 - 15132453508262/43424645*c_0101_6^4 - 8817938439216/43424645*c_0101_6^3 + 966194271797/43424645*c_0101_6^2 + 502502130946/43424645*c_0101_6 - 10183726886/43424645, c_0011_0 - 1, c_0011_2 + 34959966048/789539*c_0101_6^25 + 102588998184/789539*c_0101_6^24 - 521270803948/789539*c_0101_6^23 - 1628151436814/789539*c_0101_6^22 + 3079862241852/789539*c_0101_6^21 + 10662384543735/789539*c_0101_6^20 - 10032974465474/789539*c_0101_6^19 - 39435941390704/789539*c_0101_6^18 + 20084027886220/789539*c_0101_6^17 + 91667721977372/789539*c_0101_6^16 - 25874691513229/789539*c_0101_6^15 - 140094532477598/789539*c_0101_6^14 + 725619909292/25469*c_0101_6^13 + 143807830922423/789539*c_0101_6^12 - 13808810765157/789539*c_0101_6^11 - 99731223621095/789539*c_0101_6^10 + 6182854708215/789539*c_0101_6^9 + 46552492874200/789539*c_0101_6^8 - 2006003621166/789539*c_0101_6^7 - 14374586346895/789539*c_0101_6^6 + 443597277731/789539*c_0101_6^5 + 2812116893492/789539*c_0101_6^4 - 58725710234/789539*c_0101_6^3 - 315606646616/789539*c_0101_6^2 + 3452417100/789539*c_0101_6 + 15480413645/789539, c_0011_4 - 34959966048/789539*c_0101_6^25 - 102588998184/789539*c_0101_6^24 + 521270803948/789539*c_0101_6^23 + 1628151436814/789539*c_0101_6^22 - 3079862241852/789539*c_0101_6^21 - 10662384543735/789539*c_0101_6^20 + 10032974465474/789539*c_0101_6^19 + 39435941390704/789539*c_0101_6^18 - 20084027886220/789539*c_0101_6^17 - 91667721977372/789539*c_0101_6^16 + 25874691513229/789539*c_0101_6^15 + 140094532477598/789539*c_0101_6^14 - 725619909292/25469*c_0101_6^13 - 143807830922423/789539*c_0101_6^12 + 13808810765157/789539*c_0101_6^11 + 99731223621095/789539*c_0101_6^10 - 6182854708215/789539*c_0101_6^9 - 46552492874200/789539*c_0101_6^8 + 2006003621166/789539*c_0101_6^7 + 14374586346895/789539*c_0101_6^6 - 443597277731/789539*c_0101_6^5 - 2812116893492/789539*c_0101_6^4 + 58725710234/789539*c_0101_6^3 + 315606646616/789539*c_0101_6^2 - 3452417100/789539*c_0101_6 - 15480413645/789539, c_0101_0 - 28401073668/789539*c_0101_6^25 - 83222114654/789539*c_0101_6^24 + 423726053233/789539*c_0101_6^23 + 1320517045678/789539*c_0101_6^22 - 2506469269268/789539*c_0101_6^21 - 8645675464709/789539*c_0101_6^20 + 8183410984293/789539*c_0101_6^19 + 31968395287861/789539*c_0101_6^18 - 16452456190437/789539*c_0101_6^17 - 74286607008415/789539*c_0101_6^16 + 21375949759845/789539*c_0101_6^15 + 113490982631554/789539*c_0101_6^14 - 608983667889/25469*c_0101_6^13 - 116454057320712/789539*c_0101_6^12 + 11894925361250/789539*c_0101_6^11 + 80728258586688/789539*c_0101_6^10 - 5519656890782/789539*c_0101_6^9 - 37667305678664/789539*c_0101_6^8 + 1863584192540/789539*c_0101_6^7 + 11626249583742/789539*c_0101_6^6 - 428205615900/789539*c_0101_6^5 - 2273295842983/789539*c_0101_6^4 + 58744874065/789539*c_0101_6^3 + 254934341631/789539*c_0101_6^2 - 3577539570/789539*c_0101_6 - 12487746105/789539, c_0101_1 - 84*c_0101_6^25 - 286*c_0101_6^24 + 1137*c_0101_6^23 + 4500*c_0101_6^22 - 5574*c_0101_6^21 - 29085*c_0101_6^20 + 12209*c_0101_6^19 + 106025*c_0101_6^18 - 4549*c_0101_6^17 - 242810*c_0101_6^16 - 38486*c_0101_6^15 + 365787*c_0101_6^14 + 97761*c_0101_6^13 - 371251*c_0101_6^12 - 119683*c_0101_6^11 + 255885*c_0101_6^10 + 88137*c_0101_6^9 - 119457*c_0101_6^8 - 41146*c_0101_6^7 + 37124*c_0101_6^6 + 12108*c_0101_6^5 - 7351*c_0101_6^4 - 2095*c_0101_6^3 + 839*c_0101_6^2 + 166*c_0101_6 - 42, c_0101_3 - 4*c_0101_6^25 - 14*c_0101_6^24 + 53*c_0101_6^23 + 220*c_0101_6^22 - 247*c_0101_6^21 - 1419*c_0101_6^20 + 458*c_0101_6^19 + 5160*c_0101_6^18 + 253*c_0101_6^17 - 11784*c_0101_6^16 - 2967*c_0101_6^15 + 17697*c_0101_6^14 + 6482*c_0101_6^13 - 17904*c_0101_6^12 - 7713*c_0101_6^11 + 12303*c_0101_6^10 + 5736*c_0101_6^9 - 5728*c_0101_6^8 - 2778*c_0101_6^7 + 1776*c_0101_6^6 + 878*c_0101_6^5 - 351*c_0101_6^4 - 175*c_0101_6^3 + 40*c_0101_6^2 + 19*c_0101_6 - 2, c_0101_6^26 + 7/2*c_0101_6^25 - 53/4*c_0101_6^24 - 55*c_0101_6^23 + 247/4*c_0101_6^22 + 1419/4*c_0101_6^21 - 229/2*c_0101_6^20 - 1290*c_0101_6^19 - 253/4*c_0101_6^18 + 2946*c_0101_6^17 + 2967/4*c_0101_6^16 - 17697/4*c_0101_6^15 - 3241/2*c_0101_6^14 + 4476*c_0101_6^13 + 7713/4*c_0101_6^12 - 12303/4*c_0101_6^11 - 1434*c_0101_6^10 + 1432*c_0101_6^9 + 1389/2*c_0101_6^8 - 444*c_0101_6^7 - 439/2*c_0101_6^6 + 351/4*c_0101_6^5 + 175/4*c_0101_6^4 - 10*c_0101_6^3 - 5*c_0101_6^2 + 1/2*c_0101_6 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB