# Manifold: Rolfsen Knot 9_2

# Number of Tetrahedra: 5

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

# Approximate Field Generator
0.0231710276033201 + 1.82953243390828*I

# Shape Parameters
-y^6 + y^5 - 6*y^4 + 5*y^3 - 10*y^2 + 6*y - 3

y

y

-3*y^6 + y^5 - 17*y^4 + 4*y^3 - 26*y^2 + 3*y - 9

-3/8*y^6 - 5/4*y^4 - 3/8*y^3 - 1/8*y^2 - 7/8*y + 13/8


# A Gluing Matrix
{{3,-3,-3,-4,2},{-3,4,3,4,-2},{-3,3,4,4,-2},{-4,4,4,5,-2},{2,-2,-2,-2,2}}

# 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
{-3, 4, 4, 5, -2}

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

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

# 1 Loop Invariant
-3*y^6 + 3*y^5 - 35/2*y^4 + 27/2*y^3 - 28*y^2 + 31/2*y - 10

# 2 Loop Invariant
-758260004644/6342091759201*y^6 + 3229290716701/25368367036804*y^5 - 18448989018081/25368367036804*y^4 + 8200345695715/12684183518402*y^3 - 31641086004925/25368367036804*y^2 + 30678975743917/38052550555206*y + 9403251804569/152210202220824

# 3 Loop Invariant
735156588537120165/15971613123875597551*y^6 - 450811246095789540/15971613123875597551*y^5 + 4139142119950086015/15971613123875597551*y^4 - 3997778709452036385/31943226247751195102*y^3 + 12064489168496606665/31943226247751195102*y^2 - 1743722478973088685/15971613123875597551*y + 3019715252502539267/31943226247751195102

# 4 Loop Invariant
8296145688619619366474433549353/810347487792623740858373418534008*y^6 - 41398580029867204717886272466767/4862084926755742445150240511204048*y^5 + 265739715700204080059266355437661/4862084926755742445150240511204048*y^4 - 2822366335483953924961530193840327/72931273901336136677253607668060720*y^3 + 163028713774030587354574936851347/2431042463377871222575120255602024*y^2 - 337081158256808934195616336600273/9116409237667017084656700958507590*y - 7479522641229439205471087741029/4862084926755742445150240511204048