# Manifold: Census Knot K7_1

# Number of Tetrahedra: 7

# Number Field
x^10 - 3*x^9 - 5*x^8 + 20*x^7 + 16*x^6 - 67*x^5 - 27*x^4 + 101*x^3 + 24*x^2 - 61*x + 18 

# Approximate Field Generator
0.438265603006639 - 0.169166516415116*I

# Shape Parameters
1/16*y^8 - 1/8*y^7 - 7/16*y^6 + 7/8*y^5 + 11/8*y^4 - 9/4*y^3 - 39/16*y^2 + 9/4*y + 9/4

-3/64*y^9 + 3/64*y^8 + 21/64*y^7 - 11/32*y^6 - 19/16*y^5 + 45/64*y^4 + 123/64*y^3 - 49/64*y^2 - 21/32*y + 63/64

-97/3528*y^9 + 5/48*y^8 + 529/7056*y^7 - 4645/7056*y^6 + 307/7056*y^5 + 6445/3528*y^4 - 87/196*y^3 - 14437/7056*y^2 + 671/2352*y + 2101/3528

1/189*y^9 - 1/36*y^8 + 109/3024*y^7 + 311/3024*y^6 - 869/3024*y^5 - 109/3024*y^4 + 67/84*y^3 - 677/1512*y^2 - 841/1008*y + 4181/3024

-1/16*y^9 + 3/16*y^8 + 1/2*y^7 - 25/16*y^6 - 33/16*y^5 + 47/8*y^4 + 85/16*y^3 - 155/16*y^2 - 113/16*y + 35/8

-1/16*y^9 + 3/16*y^8 + 1/2*y^7 - 25/16*y^6 - 33/16*y^5 + 47/8*y^4 + 85/16*y^3 - 155/16*y^2 - 113/16*y + 35/8

-1/144*y^9 + 1/48*y^8 + 7/72*y^7 - 19/72*y^6 - 61/144*y^5 + 157/144*y^4 + 19/16*y^3 - 281/144*y^2 - 77/48*y + 169/144


# A Gluing Matrix
{{1,2,2,-2,2,2,2},{0,1,2,-4,3,3,4},{0,0,1,-2,1,1,2},{0,0,0,0,1,1,0},{0,0,0,0,1,0,1},{0,0,0,0,0,1,1},{-1,2,4,-6,5,5,6}}

# B Gluing Matrix
{{2,0,0,0,0,0,2},{0,1,0,0,0,0,3},{0,0,1,0,0,0,1},{0,0,0,1,0,0,1},{0,0,0,0,1,0,0},{0,0,0,0,0,1,0},{0,0,0,0,0,0,5}}

# nu Gluing Vector
{4, 7, 3, 2, 1, 1, 10}

# f Combinatorial flattening
{4, -13, 3, -6, 0, 14, -13}

# f' Combinatorial flattening
{3, 0, 0, -12, 14, 0, 0}

# 1 Loop Invariant
27/32*y^9 - 9/4*y^8 - 45/8*y^7 + 65/4*y^6 + 715/32*y^5 - 111/2*y^4 - 1663/32*y^3 + 1297/16*y^2 + 2001/32*y - 569/16

# 2 Loop Invariant
-3360796776199687745/45548634535830136292763*y^9 + 37494705870409366265/242926050857760726894736*y^8 + 59436904407886494793831/2915112610293128722736832*y^7 - 30510098083935134315885/728778152573282180684208*y^6 - 97133482757381138200427/971704203431042907578944*y^5 + 75533735186534048548081/364389076286641090342104*y^4 + 410676043327317568727929/1457556305146564361368416*y^3 - 300978256950174599032081/728778152573282180684208*y^2 - 1013137531274302298100409/2915112610293128722736832*y - 6555995095466569190216149/485852101715521453789472

# 3 Loop Invariant
-9814396701673982886418343218371/59866123804314595133227948676615008*y^9 + 28973956717970754191859313639959/59866123804314595133227948676615008*y^8 + 7233675685221000176585377356753/29933061902157297566613974338307504*y^7 - 5609429873813346447568630216197/59866123804314595133227948676615008*y^6 - 87334775113246133332208006642397/59866123804314595133227948676615008*y^5 - 156390885396547334462969154263497/29933061902157297566613974338307504*y^4 - 76253200932127996276513972061665/59866123804314595133227948676615008*y^3 + 935930033903412062050180803316745/59866123804314595133227948676615008*y^2 + 446526665853257050275498943398543/59866123804314595133227948676615008*y - 181344236863323840033434659017477/29933061902157297566613974338307504