# Manifold: Census Knot K6_19

# Number of Tetrahedra: 6

# Number Field
x^7 + 26/55*x^6 - x^5 - 27/55*x^4 + 34/55*x^3 + 24/55*x^2 + 12/55*x + 7/55 

# Approximate Field Generator
0.908722863476578 - 0.431361429812550*I

# Shape Parameters
-25836360/5301553*y^6 - 415667/5301553*y^5 + 21974717/5301553*y^4 + 1048269/5301553*y^3 - 14191644/5301553*y^2 - 5494444/5301553*y - 655407/5301553

-39748775/5301553*y^6 - 10791405/5301553*y^5 + 41054975/5301553*y^4 + 3525323/5301553*y^3 - 22341317/5301553*y^2 - 18361768/5301553*y + 1569617/5301553

-25836360/5301553*y^6 - 415667/5301553*y^5 + 21974717/5301553*y^4 + 1048269/5301553*y^3 - 14191644/5301553*y^2 - 5494444/5301553*y - 5956960/5301553

22190135/902392*y^6 - 4620433/902392*y^5 - 9963189/451196*y^4 + 2776799/902392*y^3 + 9716047/902392*y^2 + 1603789/902392*y + 5690091/902392

-1829633905/42412424*y^6 + 378429919/42412424*y^5 + 766418219/21206212*y^4 - 148447041/42412424*y^3 - 1025859345/42412424*y^2 - 128195659/42412424*y - 275193261/42412424

-134644785/44217208*y^6 - 4694057/44217208*y^5 + 100134623/22108604*y^4 + 6779495/44217208*y^3 - 174060273/44217208*y^2 - 21962347/44217208*y + 71673619/44217208


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

# B Gluing Matrix
{{1,0,0,0,2,0},{0,1,0,0,1,0},{0,0,1,0,4,0},{0,0,0,2,1,1},{0,0,0,0,5,0},{0,0,0,0,0,2}}

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

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

# f' Combinatorial flattening
{-4, 0, 0, 0, 0, 0}

# 1 Loop Invariant
6681554385/84824848*y^6 - 1327550783/84824848*y^5 - 2742831939/42412424*y^4 + 460878497/84824848*y^3 + 3384014521/84824848*y^2 - 135968085/84824848*y + 768191325/84824848

# 2 Loop Invariant
132023621941187441905/662696128249969689516*y^6 - 1136333071715841785041/2650784512999878758064*y^5 + 122917102837014233915/2650784512999878758064*y^4 + 6968716578587222494/55224677354164140793*y^3 + 190856990247595589501/2650784512999878758064*y^2 - 172401003259004874093/883594837666626252688*y + 1890584415530564859499/1325392256499939379032

# 3 Loop Invariant
4589539595242234376166511605/5703588772430994461828491616*y^6 - 626115412019849669209816429/5703588772430994461828491616*y^5 - 9480913482104766243598745741/11407177544861988923656983232*y^4 + 2634590344803484242655774421/11407177544861988923656983232*y^3 + 2005796561281752785799102267/5703588772430994461828491616*y^2 + 834991617515425333548257151/11407177544861988923656983232*y + 1711033873563769086545714967/11407177544861988923656983232