# Manifold: Census Knot K7_98

# Number of Tetrahedra: 7

# Number Field
x^8 + 2*x^7 + 3*x^6 - 7*x^5 - 10*x^4 - x^3 + 9*x^2 + 6*x + 1 

# Approximate Field Generator
-0.652285620986312 - 0.634126190391854*I

# Shape Parameters
-14/17*y^7 - y^6 - 25/17*y^5 + 131/17*y^4 + 65/17*y^3 - 31/17*y^2 - 149/17*y - 24/17

-y

-29/68*y^7 - 3/4*y^6 - 35/34*y^5 + 241/68*y^4 + 267/68*y^3 - 3/17*y^2 - 305/68*y - 91/68

41/34*y^7 + 3/2*y^6 + 36/17*y^5 - 363/34*y^4 - 177/34*y^3 + 80/17*y^2 + 287/34*y + 63/34

30/17*y^7 + 3*y^6 + 73/17*y^5 - 237/17*y^4 - 234/17*y^3 + 47/17*y^2 + 261/17*y + 117/17

-y

245/34*y^7 + 25/2*y^6 + 308/17*y^5 - 1893/34*y^4 - 1979/34*y^3 + 148/17*y^2 + 2157/34*y + 947/34


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

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

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

# f Combinatorial flattening
{9, 10, 4, 7, -4, -10, -6}

# f' Combinatorial flattening
{0, -8, 0, 0, 0, 0, 0}

# 1 Loop Invariant
-377/68*y^7 - 21/4*y^6 - 353/34*y^5 + 3405/68*y^4 + 309/68*y^3 - 90/17*y^2 - 2673/68*y - 129/68

# 2 Loop Invariant
-23065738275834331/402609964802593028*y^7 - 15908131346658949/142097634636209304*y^6 - 82232485792678059/402609964802593028*y^5 + 1568783014637025407/4831319577631116336*y^4 + 65557530312110801/185819983755042936*y^3 + 221521910831383211/1207829894407779084*y^2 - 99163305007605232/301957473601944771*y + 46975934724552327511/4831319577631116336

# 3 Loop Invariant
-11624350046656170151480577/247834812507195013911357664*y^7 - 2182547020770866470495585/29157036765552354577806784*y^6 - 53048383828217891080220079/495669625014390027822715328*y^5 + 14610880345185860806750289/38128432693414617524824256*y^4 + 173268173552203335358337467/495669625014390027822715328*y^3 - 46316125766653830200707703/495669625014390027822715328*y^2 - 105016832662776228133960081/247834812507195013911357664*y - 76463411726904059056147601/495669625014390027822715328