# Manifold: Rolfsen Knot 9_43

# Number of Tetrahedra: 7

# Number Field
x^8 - 3*x^7 - x^6 + 13*x^5 - 9*x^4 - 17*x^3 + 23*x^2 - 9*x + 1 

# Approximate Field Generator
1.57593591079863 + 1.01244214283627*I

# Shape Parameters
-57/34*y^7 + 70/17*y^6 + 70/17*y^5 - 675/34*y^4 + 64/17*y^3 + 546/17*y^2 - 701/34*y + 45/17

19/17*y^7 - 41/17*y^6 - 58/17*y^5 + 208/17*y^4 + 14/17*y^3 - 347/17*y^2 + 143/17*y + 4/17

-56/17*y^7 + 145/17*y^6 + 111/17*y^5 - 673/17*y^4 + 237/17*y^3 + 1012/17*y^2 - 876/17*y + 211/17

58/17*y^7 - 152/17*y^6 - 118/17*y^5 + 711/17*y^4 - 240/17*y^3 - 1087/17*y^2 + 900/17*y - 139/17

-98/17*y^7 + 258/17*y^6 + 190/17*y^5 - 1199/17*y^4 + 453/17*y^3 + 1805/17*y^2 - 1601/17*y + 348/17

-38/17*y^7 + 105/17*y^6 + 64/17*y^5 - 480/17*y^4 + 224/17*y^3 + 709/17*y^2 - 699/17*y + 172/17

5/17*y^7 - 14/17*y^6 - 11/17*y^5 + 69/17*y^4 - 22/17*y^3 - 115/17*y^2 + 84/17*y + 13/17


# A Gluing Matrix
{{7,-2,1,2,5,4,-2},{-2,1,0,-1,-1,-1,0},{1,0,0,1,1,1,0},{2,-1,1,1,1,1,-1},{5,-1,1,1,4,3,-1},{4,-1,1,1,3,3,-2},{-2,0,0,-1,-1,-2,1}}

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

# nu Gluing Vector
{5, -1, 2, 1, 4, 3, -1}

# f Combinatorial flattening
{0, 1, -2, 2, 3, -3, -2}

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

# 1 Loop Invariant
41/34*y^7 - 33/34*y^6 - 110/17*y^5 + 143/17*y^4 + 559/34*y^3 - 382/17*y^2 - 647/34*y + 279/17

# 2 Loop Invariant
-521138994887393653/1207829894407779084*y^7 + 2702777322686447107/2415659788815558168*y^6 + 179368827330257507/201304982401296514*y^5 - 1591922610064998919/301957473601944771*y^4 + 4158778921257335519/2415659788815558168*y^3 + 4953934318578170425/603914947203889542*y^2 - 8053357756828249079/1207829894407779084*y + 321081164937823865/603914947203889542

# 3 Loop Invariant
475462295949690290735649/9532108173353654381206064*y^7 - 10336685065784026470135357/61958703126798753477839416*y^6 - 2880848229633686801328399/61958703126798753477839416*y^5 + 92076390251533715082756161/123917406253597506955678832*y^4 - 31859215696969191553260001/61958703126798753477839416*y^3 - 68287783467270302389989705/61958703126798753477839416*y^2 + 157204795561974085611246407/123917406253597506955678832*y - 2771037164919089112077167/15489675781699688369459854

# 4 Loop Invariant
1209685824002316474898555633354472228512553/5079337591987620147919333352160887467572960*y^7 - 5332224932920803732447080096714552433796153/10158675183975240295838666704321774935145920*y^6 - 3396612881912414884053549202378499385070399/5079337591987620147919333352160887467572960*y^5 + 6576147713557276321177506738626893907701763/2539668795993810073959666676080443733786480*y^4 - 378266369478846471349258139798194478857117/10158675183975240295838666704321774935145920*y^3 - 4276420871833943524645507135006318615037221/1015867518397524029583866670432177493514592*y^2 + 1323849782293499017579610575885650077612809/634917198998452518489916669020110933446620*y - 815564843131117080279364769896396861226213/3386225061325080098612888901440591645048640