# Manifold: Census Knot K5_2

# Number of Tetrahedra: 5

# Number Field
x^6 - x^5 - 5*x^4 + 4*x^3 + 14*x^2 - 19*x + 7 

# Approximate Field Generator
0.692335882224302 - 0.289757706996734*I

# Shape Parameters
-y^5 + 5*y^3 + y^2 - 13*y + 6

-2*y^5 + y^4 + 11*y^3 - 2*y^2 - 31*y + 21

-24/41*y^5 + 16/41*y^4 + 139/41*y^3 - 36/41*y^2 - 389/41*y + 258/41

-24/41*y^5 + 16/41*y^4 + 139/41*y^3 - 36/41*y^2 - 389/41*y + 258/41

-6/41*y^5 + 4/41*y^4 + 45/41*y^3 - 9/41*y^2 - 128/41*y + 126/41


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

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

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

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

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

# 1 Loop Invariant
-61/41*y^5 + 27/41*y^4 + 355/41*y^3 - 101/82*y^2 - 987/41*y + 1209/82

# 2 Loop Invariant
-105701897875/4168906207692*y^5 + 35079370019/2084453103846*y^4 + 376738419569/2084453103846*y^3 - 32840680084/1042226551923*y^2 - 2150348348219/4168906207692*y - 3175741679243/8337812415384

# 3 Loop Invariant
64333512419715/31979332110354691*y^5 - 114495316659885/63958664220709382*y^4 - 681500229750445/63958664220709382*y^3 - 101381646686529/31979332110354691*y^2 + 2480307101040191/63958664220709382*y - 1590959624479321/63958664220709382

# 4 Loop Invariant
-180888023548215674152805/475855453251761254378938072*y^5 + 6330514649344070825517023/4758554532517612543789380720*y^4 - 10042740782822145127236041/4758554532517612543789380720*y^3 + 544254096418994613049133/475855453251761254378938072*y^2 + 18167189081449419236405827/4758554532517612543789380720*y - 2453234895735920639814749/951710906503522508757876144

# 5 Loop Invariant
77205592402571163652128636957/99773432412132938016681153727364*y^5 - 298965636105554485739001381843/199546864824265876033362307454728*y^4 - 2508014621396787502870999979849/598640594472797628100086922364184*y^3 + 304807607429308312488357967364/24943358103033234504170288431841*y^2 - 5711703606859752728468605858823/598640594472797628100086922364184*y + 2188649647341296195843200660525/598640594472797628100086922364184