Magma V2.19-8 Tue Aug 20 2013 23:46:47 on localhost [Seed = 1781268556] Type ? for help. Type -D to quit. Loading file "K14n26280__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n26280 geometric_solution 10.63060407 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 -1 1 -1 0 0 1 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.007226942519 1.527643358028 0 5 6 2 0132 0132 0132 2310 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 1 0 11 -12 0 0 0 0 12 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.278438227705 1.158535689579 1 0 8 7 3201 0132 0132 0132 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 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.313319292708 0.334962865848 9 10 11 0 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.554440588278 0.538145995555 9 8 0 10 3120 0132 0132 3012 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 -1 1 0 0 -1 1 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.639518006062 0.529463523389 6 1 7 8 2310 0132 3201 0132 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 0 0 0 0 0 0 0 -11 0 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.313319292708 0.334962865848 9 10 5 1 1023 3012 3201 0132 0 0 0 0 0 0 0 0 0 0 -1 1 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 0 0 11 -11 -12 0 0 12 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.007226942519 1.527643358028 5 11 2 11 2310 1230 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.920047593618 2.031443101195 9 4 5 2 2310 0132 0132 0132 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 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.825343612903 0.822907867669 3 6 8 4 0132 1023 3201 3120 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 0 0 -1 12 0 -11 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.639518006062 0.529463523389 6 3 4 11 1230 0132 1230 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 -1 0 0 0 0 0 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.912799075937 1.102477367863 10 7 7 3 3012 0321 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.597895162523 0.490390918374 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_7']), 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : negation(d['c_0101_7']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : negation(d['c_0101_10']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_11'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_6'], 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : d['c_0101_11'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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' : negation(d['1']), 'c_0011_11' : d['c_0011_10'], 'c_1100_8' : negation(d['c_0011_7']), 'c_1100_5' : negation(d['c_0011_7']), 'c_1100_4' : negation(d['c_1001_0']), 'c_1100_7' : negation(d['c_0011_7']), 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_1001_0']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : negation(d['c_0011_7']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_1001_0']), 'c_1100_10' : d['c_0101_3'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : negation(d['c_0101_10']), 'c_1010_4' : negation(d['c_0101_10']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_7']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_4']), 'c_1010_8' : d['c_1001_2'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0110_6' : negation(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_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0011_10'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0011_6' : d['c_0011_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0101_6']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_4'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0101_6']), 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_7, c_0101_0, c_0101_10, c_0101_11, c_0101_3, c_0101_6, c_0101_7, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 89/2*c_1001_2^7 - 353/2*c_1001_2^6 - 286*c_1001_2^5 - 418*c_1001_2^4 - 712*c_1001_2^3 - 1409/2*c_1001_2^2 - 701/2*c_1001_2 - 161/2, c_0011_0 - 1, c_0011_10 + 8*c_1001_2^7 + 31*c_1001_2^6 + 50*c_1001_2^5 + 75*c_1001_2^4 + 126*c_1001_2^3 + 122*c_1001_2^2 + 65*c_1001_2 + 16, c_0011_4 - 5*c_1001_2^7 - 19*c_1001_2^6 - 30*c_1001_2^5 - 45*c_1001_2^4 - 76*c_1001_2^3 - 72*c_1001_2^2 - 37*c_1001_2 - 9, c_0011_7 + 10*c_1001_2^7 + 36*c_1001_2^6 + 54*c_1001_2^5 + 83*c_1001_2^4 + 140*c_1001_2^3 + 123*c_1001_2^2 + 62*c_1001_2 + 13, c_0101_0 + c_1001_2^7 + 3*c_1001_2^6 + 4*c_1001_2^5 + 7*c_1001_2^4 + 11*c_1001_2^3 + 8*c_1001_2^2 + 5*c_1001_2, c_0101_10 - c_1001_2^7 - 6*c_1001_2^6 - 13*c_1001_2^5 - 18*c_1001_2^4 - 30*c_1001_2^3 - 39*c_1001_2^2 - 24*c_1001_2 - 8, c_0101_11 + 2*c_1001_2^7 + 9*c_1001_2^6 + 17*c_1001_2^5 + 25*c_1001_2^4 + 41*c_1001_2^3 + 47*c_1001_2^2 + 29*c_1001_2 + 9, c_0101_3 + 3*c_1001_2^7 + 8*c_1001_2^6 + 7*c_1001_2^5 + 13*c_1001_2^4 + 23*c_1001_2^3 + 4*c_1001_2^2 - 4*c_1001_2 - 5, c_0101_6 - 8*c_1001_2^7 - 27*c_1001_2^6 - 37*c_1001_2^5 - 58*c_1001_2^4 - 99*c_1001_2^3 - 76*c_1001_2^2 - 32*c_1001_2 - 3, c_0101_7 - 10*c_1001_2^7 - 36*c_1001_2^6 - 54*c_1001_2^5 - 83*c_1001_2^4 - 140*c_1001_2^3 - 123*c_1001_2^2 - 62*c_1001_2 - 12, c_1001_0 - 2*c_1001_2^7 - 5*c_1001_2^6 - 4*c_1001_2^5 - 8*c_1001_2^4 - 14*c_1001_2^3 - c_1001_2^2 + 3*c_1001_2 + 3, c_1001_2^8 + 4*c_1001_2^7 + 7*c_1001_2^6 + 11*c_1001_2^5 + 18*c_1001_2^4 + 19*c_1001_2^3 + 13*c_1001_2^2 + 5*c_1001_2 + 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_7, c_0101_0, c_0101_10, c_0101_11, c_0101_3, c_0101_6, c_0101_7, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 2984114598777213880/1036606525707987*c_1001_2^13 - 1881516909576027520/345535508569329*c_1001_2^12 + 1124313660623632814/345535508569329*c_1001_2^11 + 9509507366131587644/1036606525707987*c_1001_2^10 + 490836059941316861/1036606525707987*c_1001_2^9 - 2111656697684021179/318955854063996*c_1001_2^8 + 1939287752014766399/8292852205663896*c_1001_2^7 + 95184670074191487791/16585704411327792*c_1001_2^6 + 925638131201083211/637911708127992*c_1001_2^5 - 16557212954430570091/4146426102831948*c_1001_2^4 - 19537689996565975979/8292852205663896*c_1001_2^3 + 3986228494633212395/4146426102831948*c_1001_2^2 + 942113811181747655/691071017138658*c_1001_2 + 6001273283405585231/16585704411327792, c_0011_0 - 1, c_0011_10 + 20660535008/414613919*c_1001_2^13 + 8916636992/414613919*c_1001_2^12 - 24478902632/414613919*c_1001_2^11 - 11074712352/414613919*c_1001_2^10 + 14679346588/414613919*c_1001_2^9 - 54962633/414613919*c_1001_2^8 - 32157308123/829227838*c_1001_2^7 - 37320675787/1658455676*c_1001_2^6 + 3082228565/414613919*c_1001_2^5 + 9116320811/829227838*c_1001_2^4 - 263063071/414613919*c_1001_2^3 - 1881340481/829227838*c_1001_2^2 - 500800197/829227838*c_1001_2 - 105571577/1658455676, c_0011_4 - 9480434112/414613919*c_1001_2^13 - 3411041920/414613919*c_1001_2^12 + 13314146384/414613919*c_1001_2^11 + 8581692480/414613919*c_1001_2^10 - 8229939096/414613919*c_1001_2^9 - 4005397134/414613919*c_1001_2^8 + 7703484763/414613919*c_1001_2^7 + 12245229923/829227838*c_1001_2^6 - 3877510420/414613919*c_1001_2^5 - 5033966596/414613919*c_1001_2^4 - 521129634/414613919*c_1001_2^3 + 1168080995/414613919*c_1001_2^2 + 330873565/414613919*c_1001_2 - 497298539/829227838, c_0011_7 + 3809392704/414613919*c_1001_2^13 + 15715076992/414613919*c_1001_2^12 - 2486875440/414613919*c_1001_2^11 - 19870312000/414613919*c_1001_2^10 - 523508312/414613919*c_1001_2^9 + 12990988418/414613919*c_1001_2^8 - 7212926621/414613919*c_1001_2^7 - 28149107765/829227838*c_1001_2^6 - 285763784/414613919*c_1001_2^5 + 5185973484/414613919*c_1001_2^4 + 577162320/414613919*c_1001_2^3 - 1165422454/414613919*c_1001_2^2 + 373012911/414613919*c_1001_2 - 328207897/829227838, c_0101_0 + 6625395712/414613919*c_1001_2^13 + 1216082432/414613919*c_1001_2^12 - 3363277568/414613919*c_1001_2^11 - 470839040/414613919*c_1001_2^10 - 1536843008/414613919*c_1001_2^9 - 3255069696/414613919*c_1001_2^8 - 666508192/414613919*c_1001_2^7 - 2622615296/414613919*c_1001_2^6 - 2113305216/414613919*c_1001_2^5 + 181552338/414613919*c_1001_2^4 + 1111569081/414613919*c_1001_2^3 + 846955281/414613919*c_1001_2^2 - 1195062/414613919*c_1001_2 - 112398630/414613919, c_0101_10 - 6625395712/414613919*c_1001_2^13 - 1216082432/414613919*c_1001_2^12 + 3363277568/414613919*c_1001_2^11 + 470839040/414613919*c_1001_2^10 + 1536843008/414613919*c_1001_2^9 + 3255069696/414613919*c_1001_2^8 + 666508192/414613919*c_1001_2^7 + 2622615296/414613919*c_1001_2^6 + 2113305216/414613919*c_1001_2^5 - 181552338/414613919*c_1001_2^4 - 1111569081/414613919*c_1001_2^3 - 846955281/414613919*c_1001_2^2 + 1195062/414613919*c_1001_2 + 112398630/414613919, c_0101_11 + 34813952/414613919*c_1001_2^13 + 12140094016/414613919*c_1001_2^12 + 2253212224/414613919*c_1001_2^11 - 16451648368/414613919*c_1001_2^10 - 3288320528/414613919*c_1001_2^9 + 11808289816/414613919*c_1001_2^8 - 2161012998/414613919*c_1001_2^7 - 11133903175/414613919*c_1001_2^6 - 4123231471/829227838*c_1001_2^5 + 7689848295/829227838*c_1001_2^4 + 3437917579/829227838*c_1001_2^3 - 2014807599/829227838*c_1001_2^2 - 421283767/829227838*c_1001_2 - 216590797/829227838, c_0101_3 + 13428341152/414613919*c_1001_2^13 + 859582400/414613919*c_1001_2^12 - 16633406840/414613919*c_1001_2^11 - 3023753440/414613919*c_1001_2^10 + 9026566164/414613919*c_1001_2^9 - 531478451/414613919*c_1001_2^8 - 15824426713/829227838*c_1001_2^7 - 18445993209/1658455676*c_1001_2^6 + 2638968737/414613919*c_1001_2^5 + 8283203055/829227838*c_1001_2^4 - 532873607/414613919*c_1001_2^3 - 2356351169/829227838*c_1001_2^2 - 1141292025/829227838*c_1001_2 + 705999881/1658455676, c_0101_6 - c_1001_2, c_0101_7 - 20064994880/414613919*c_1001_2^13 - 25625025152/414613919*c_1001_2^12 + 24143292464/414613919*c_1001_2^11 + 36012912512/414613919*c_1001_2^10 - 10720321224/414613919*c_1001_2^9 - 19491753682/414613919*c_1001_2^8 + 20093113741/414613919*c_1001_2^7 + 48473007149/829227838*c_1001_2^6 - 3713131676/414613919*c_1001_2^5 - 12397599657/414613919*c_1001_2^4 - 1543050546/414613919*c_1001_2^3 + 1364183201/414613919*c_1001_2^2 - 197345845/414613919*c_1001_2 + 1397291725/829227838, c_1001_0 - 20660535008/414613919*c_1001_2^13 - 8916636992/414613919*c_1001_2^12 + 24478902632/414613919*c_1001_2^11 + 11074712352/414613919*c_1001_2^10 - 14679346588/414613919*c_1001_2^9 + 54962633/414613919*c_1001_2^8 + 32157308123/829227838*c_1001_2^7 + 37320675787/1658455676*c_1001_2^6 - 3082228565/414613919*c_1001_2^5 - 9116320811/829227838*c_1001_2^4 + 263063071/414613919*c_1001_2^3 + 1881340481/829227838*c_1001_2^2 + 500800197/829227838*c_1001_2 + 105571577/1658455676, c_1001_2^14 + c_1001_2^13 - 3/4*c_1001_2^12 - 5/4*c_1001_2^11 + 1/8*c_1001_2^10 + 13/32*c_1001_2^9 - 39/64*c_1001_2^8 - 123/128*c_1001_2^7 - 27/128*c_1001_2^6 + 21/64*c_1001_2^5 + 11/64*c_1001_2^4 - 1/64*c_1001_2^3 - 1/32*c_1001_2^2 - 1/128*c_1001_2 - 1/128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.880 Total time: 3.089 seconds, Total memory usage: 32.09MB