# Manifold: Rolfsen Knot 9_10

# Number of Tetrahedra: 9

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

# Approximate Field Generator
None

# Shape Parameters
y^5 + 2*y^4 + y^3 + 2*y^2 + 4*y + 1

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

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

-y^2 - y + 1

-y^2 - 2*y

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

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

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

-y^2 - y + 1


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

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

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

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

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

# 1 Loop Invariant
-13*y^5 - 31/2*y^4 + 13*y^3 - 33/2*y^2 - 32*y + 57/2

# 2 Loop Invariant
-18669690878873147/104909798286660108*y^5 - 21862926809767489/104909798286660108*y^4 + 5543078528093139/17484966381110018*y^3 - 6589377879574321/34969932762220036*y^2 - 63068841634512601/104909798286660108*y + 14984909931236723/34969932762220036

# 3 Loop Invariant
-14038318756831670400181325/417708303978843733397669953*y^5 - 15440002002064637938987162/417708303978843733397669953*y^4 + 14223302183341353494060357/417708303978843733397669953*y^3 - 13875683897928788527642889/417708303978843733397669953*y^2 - 18745247335622289815591253/417708303978843733397669953*y + 44182082153333808315963144/417708303978843733397669953

# 4 Loop Invariant
12396754005922415664521920367515622088654227/1314650817392501996261627483123963090260047720*y^5 + 7678847909399884842802184274295372299098593/262930163478500399252325496624792618052009544*y^4 + 3302922874057635216736331791175179884253641/146072313043611332917958609235995898917783080*y^3 + 19378251755311567502166535733155684023065867/1314650817392501996261627483123963090260047720*y^2 + 7577430766603859390625243748813748045841587/164331352174062749532703435390495386282505965*y + 4053245673160474186155511921562407721684641/109554234782708499688468956926996924188337310