# Manifold: Census Knot K5_9 # Number of Tetrahedra: 5 # Number Field x^5 + 2*x^4 + 4*x^3 + 3*x^2 + 5*x + 1 # Approximate Field Generator -1.08706156652033 - 1.31923328094554*I # Shape Parameters -y -1/4*y^4 - 3/4*y^3 - 3/4*y^2 - 1/2*y + 1/4 -1/4*y^4 - 3/4*y^3 - 3/4*y^2 - 1/2*y + 1/4 -y^4 - 2*y^3 - 4*y^2 - 3*y - 4 -1/16*y^4 - 3/16*y^3 - 7/16*y^2 - 5/8*y + 1/16 # A Gluing Matrix {{2,-1,1,-1,0},{-1,1,1,0,0},{1,1,1,0,0},{1,0,2,-1,-1},{2,0,2,-2,-1}} # B Gluing Matrix {{1,0,0,0,2},{0,1,0,0,0},{0,0,1,0,2},{0,0,0,1,2},{0,0,0,0,4}} # nu Gluing Vector {2, 1, 3, 3, 4} # f Combinatorial flattening {0, -3, 6, -1, 10} # f' Combinatorial flattening {-8, -2, 0, 0, 0} # 1 Loop Invariant 5/8*y^4 - 1/8*y^3 + 27/8*y^2 - 7/4*y + 43/8 # 2 Loop Invariant 478182143/3352293552*y^4 + 130175987/558715592*y^3 + 128137887/279357796*y^2 + 551809871/3352293552*y + 845279897/838073388 # 3 Loop Invariant 2205708954617/37353489618752*y^4 + 2046964937895/18676744809376*y^3 + 9149643286175/37353489618752*y^2 + 111701528580/583648275293*y + 6235385740677/18676744809376 # 4 Loop Invariant 82414436452508210747903/939148967952309509153280*y^4 + 251585150819515146957871/1878297935904619018306560*y^3 + 6207414030870048309937/23478724198807737728832*y^2 + 15063717723472170785089/125219862393641267887104*y + 180707989982591469721217/469574483976154754576640 # 5 Loop Invariant 411158621286107153761592831/2092924780047320151465056256*y^4 + 539863767102676667917549745/1395283186698213434310037504*y^3 + 1599985271115288823020165191/2092924780047320151465056256*y^2 + 678857157256419372686108805/1395283186698213434310037504*y + 566766346662652547229436395/697641593349106717155018752