# Manifold: Census Knot K8_279

# Number of Tetrahedra: 8

# Number Field
x^7 - 2*x^6 - x^5 + 2*x^4 - 6*x^3 + 4*x^2 - 4*x + 2 

# Approximate Field Generator
0.465472931346226 - 0.970385841204736*I

# Shape Parameters
-35/32*y^6 + 45/32*y^5 + 37/16*y^4 - 3/4*y^3 + 85/16*y^2 - 7/16*y + 65/16

-1/16*y^6 - 1/16*y^5 + 7/8*y^4 - 1/2*y^3 - 9/8*y^2 + 11/8*y - 5/8

-3/32*y^6 - 3/32*y^5 + 13/16*y^4 + 1/4*y^3 - 11/16*y^2 + 9/16*y + 1/16

-1/2*y^6 + y^5 + 1/2*y^4 - y^3 + 3*y^2 - 2*y + 2

-7/16*y^6 + 9/16*y^5 + 9/8*y^4 - 1/2*y^3 + 9/8*y^2 + 5/8*y + 5/8

-y + 1

-1/2*y^5 + y^4 + y^3 - 2*y^2 + 2*y

1/8*y^6 - 3/8*y^5 + 1/4*y^4 + 1/2*y^3 - 7/4*y^2 + 1/4*y - 3/4


# A Gluing Matrix
{{2,3,-1,1,2,4,1,-1},{1,2,0,0,0,2,0,0},{1,2,0,1,1,2,0,-1},{1,2,-1,1,2,3,1,-1},{0,0,-1,0,2,2,1,0},{1,2,-1,0,2,3,1,0},{0,0,-1,0,1,1,1,0},{1,4,-3,1,4,6,2,-2}}

# B Gluing Matrix
{{1,0,0,0,0,0,0,4},{0,1,0,0,0,0,0,2},{0,0,1,0,0,0,0,2},{0,0,0,1,0,0,0,4},{0,0,0,0,1,0,0,2},{0,0,0,0,0,1,0,3},{0,0,0,0,0,0,1,1},{0,0,0,0,0,0,0,7}}

# nu Gluing Vector
{4, 2, 2, 3, 2, 3, 1, 4}

# f Combinatorial flattening
{0, 0, 2, 0, 0, 1, 2, 0}

# f' Combinatorial flattening
{0, 0, 0, 0, 0, 0, 0, 0}

# 1 Loop Invariant
-13/4*y^6 + 19/4*y^5 + 5/2*y^4 - y^3 + 63/2*y^2 - 9/2*y + 15/2

# 2 Loop Invariant
318580157527/10060036670976*y^6 - 1972296766313/10060036670976*y^5 + 659655600573/1676672778496*y^4 - 115745307159/419168194624*y^3 + 483257232479/5030018335488*y^2 - 375837413381/5030018335488*y + 138668166273/1676672778496

# 3 Loop Invariant
7802781230424307429/4342126441308889088*y^6 - 28593432217755423611/4342126441308889088*y^5 + 19743211789323019173/2171063220654444544*y^4 - 6139987396598923939/542765805163611136*y^3 + 17081013575264761133/2171063220654444544*y^2 - 12324895921986663183/2171063220654444544*y + 4809456537213007017/2171063220654444544

# 4 Loop Invariant
10978933956609426622533953407475971/81903658555466142054300623831040*y^6 - 40061857024582145152871608057230941/81903658555466142054300623831040*y^5 + 27540863665374193495642239585594179/40951829277733071027150311915520*y^4 - 2869453618330725680506070321747767/3412652439811089252262525992960*y^3 + 23841966327144566310961119473124283/40951829277733071027150311915520*y^2 - 3470857751838048107610977784381397/8190365855546614205430062383104*y + 6658639552521158680492898034579103/40951829277733071027150311915520