# Manifold: Census Knot K8_148

# Number of Tetrahedra: 8

# Number Field
x^5 - 8*x^4 + 19*x^3 - 28*x^2 + 20*x - 8 

# Approximate Field Generator
None

# Shape Parameters
-1/4*y^4 + 2*y^3 - 17/4*y^2 + 9/2*y - 1

-1/24*y^4 + 1/4*y^3 - 7/24*y^2 + 7/12*y + 1/3

-1/12*y^4 + 1/2*y^3 - 7/12*y^2 + 7/6*y + 2/3

y

y

-1/4*y^4 + 2*y^3 - 19/4*y^2 + 7*y - 4

-1/24*y^4 + 1/4*y^3 - 7/24*y^2 + 7/12*y + 1/3

-5/36*y^4 + 7/6*y^3 - 101/36*y^2 + 28/9*y - 11/9


# A Gluing Matrix
{{1,-2,0,-2,-2,-2,-2,0},{-1,-1,-1,-1,-1,-1,-1,0},{0,-1,1,-1,-1,-1,-1,0},{-1,-1,-1,0,0,0,0,0},{-1,-1,-1,0,0,0,0,0},{-1,-1,-1,0,0,-2,1,-2},{-1,-1,-1,0,0,1,1,0},{0,0,0,0,0,-2,0,-1}}

# B Gluing Matrix
{{2,0,0,0,0,0,0,0},{0,1,0,0,0,0,0,0},{0,0,1,0,0,0,0,0},{0,0,0,1,0,0,0,0},{0,0,0,0,1,0,0,0},{0,0,0,0,0,1,0,0},{0,0,0,0,0,0,1,0},{0,0,0,0,0,0,0,1}}

# nu Gluing Vector
{-2, -1, -1, 0, 0, -2, 1, -1}

# f Combinatorial flattening
{4, -3, -1, 2, 0, -1, 2, 3}

# f' Combinatorial flattening
{-3, 2, 0, 0, 0, 0, 0, 0}

# 1 Loop Invariant
15/8*y^4 - 69/4*y^3 + 395/8*y^2 - 71*y + 54

# 2 Loop Invariant
-974285429303/693029065158744*y^4 + 4220650732435/346514532579372*y^3 - 33138191212349/693029065158744*y^2 + 23429667805738/86628633144843*y + 125078036511833/57752422096562

# 3 Loop Invariant
-391954571812225080299/756923705738442806013162*y^4 + 1417786392389957192459/252307901912814268671054*y^3 - 3200318413560018042389/756923705738442806013162*y^2 - 15435086232780075556307/756923705738442806013162*y + 8759997781563932371154/378461852869221403006581

# 4 Loop Invariant
2973625268077113660410457189870305117/1311425320461013122877553508378208471320*y^4 - 12228724556713316097998467096383743533/874283546974008748585035672252138980880*y^3 + 4324007477642143439543191083222059749/262285064092202624575510701675641694264*y^2 - 2809267467522238941909088115758937659/524570128184405249151021403351283388528*y - 394562065597034402884964863889839763/655712660230506561438776754189104235660