Knot[8, 19] -> {510.828125, Subscript[\[DoubleStruckCapitalE], {} -> {0}][
   (1 - T + T^3 - T^5 + T^6)/T^3, 0, 0, 
   {1, (-1 + 3*T - 2*T^2 - 6*T^3 + 10*T^4 + 7*T^5 - 31*T^6 + 14*T^7 + 
       43*T^8 - 53*T^9 - 34*T^10 + 110*T^11 - 46*T^12 - 87*T^13 + 97*T^14 + 
       34*T^15 - 121*T^16 + 61*T^17 + 38*T^18 - 50*T^19 - 2*T^20 + 33*T^21 - 
       23*T^22 + 6*T^23)/T^11 + (a*(-6 + 22*T - 30*T^2 + 44*T^4 - 28*T^5 - 
        54*T^6 + 90*T^7 - 20*T^8 - 54*T^9 + 34*T^10 + 12*T^11 - 12*T^13 - 
        34*T^14 + 54*T^15 + 20*T^16 - 90*T^17 + 54*T^18 + 28*T^19 - 44*T^20 + 
        30*T^22 - 22*T^23 + 6*T^24))/T^12 + 
     ((-6 + 16*T - 14*T^2 - 14*T^3 + 30*T^4 + 2*T^5 - 52*T^6 + 38*T^7 + 
        18*T^8 - 36*T^9 - 2*T^10 + 10*T^11 + 10*T^12 - 2*T^13 - 36*T^14 + 
        18*T^15 + 38*T^16 - 52*T^17 + 2*T^18 + 30*T^19 - 14*T^20 - 14*T^21 + 
        16*T^22 - 6*T^23)*x*y)/T^12, 
    (1 - 5*T + 8*T^2 + 8*T^3 - 45*T^4 + 32*T^5 + 113*T^6 - 236*T^7 - 45*T^8 + 
       646*T^9 - 525*T^10 - 928*T^11 + 1762*T^12 + 943*T^13 - 5333*T^14 + 
       3916*T^15 + 5893*T^16 - 12523*T^17 + 2234*T^18 + 17080*T^19 - 
       18475*T^20 - 6758*T^21 + 28837*T^22 - 16556*T^23 - 15575*T^24 + 
       24838*T^25 - 1627*T^26 - 19168*T^27 + 13138*T^28 + 1553*T^29 - 
       1343*T^30 - 5372*T^31 + 535*T^32 + 8731*T^33 - 4262*T^34 - 9784*T^35 + 
       13219*T^36 - 1758*T^37 - 8697*T^38 + 6956*T^39 + 901*T^40 - 
       4468*T^41 + 2291*T^42 + 720*T^43 - 1552*T^44 + 919*T^45 - 275*T^46 + 
       36*T^47)/(2*T^23) + (a*(8 - 52*T + 132*T^2 - 82*T^3 - 330*T^4 + 
        702*T^5 + 284*T^6 - 2684*T^7 + 2544*T^8 + 4050*T^9 - 10306*T^10 + 
        522*T^11 + 23584*T^12 - 27092*T^13 - 15588*T^14 + 59836*T^15 - 
        25544*T^16 - 75024*T^17 + 108128*T^18 + 5398*T^19 - 136782*T^20 + 
        94450*T^21 + 91132*T^22 - 177948*T^23 + 46720*T^24 + 126046*T^25 - 
        119934*T^26 - 30850*T^27 + 119032*T^28 - 60948*T^29 - 32780*T^30 + 
        50548*T^31 - 9720*T^32 - 19304*T^33 + 17560*T^34 - 8334*T^35 + 
        3438*T^36 + 1646*T^37 - 6108*T^38 + 4508*T^39 + 1072*T^40 - 
        3798*T^41 + 2006*T^42 + 630*T^43 - 1428*T^44 + 872*T^45 - 268*T^46 + 
        36*T^47))/T^23 + (a^2*(18 - 130*T + 410*T^2 - 648*T^3 + 274*T^4 + 
        838*T^5 - 1548*T^6 + 678*T^7 + 912*T^8 - 1782*T^9 + 2848*T^10 - 
        3434*T^11 - 3906*T^12 + 20572*T^13 - 23198*T^14 - 12654*T^15 + 
        55192*T^16 - 29162*T^17 - 67986*T^18 + 113580*T^19 - 12726*T^20 - 
        128358*T^21 + 110248*T^22 + 68926*T^23 - 177948*T^24 + 68926*T^25 + 
        110248*T^26 - 128358*T^27 - 12726*T^28 + 113580*T^29 - 67986*T^30 - 
        29162*T^31 + 55192*T^32 - 12654*T^33 - 23198*T^34 + 20572*T^35 - 
        3906*T^36 - 3434*T^37 + 2848*T^38 - 1782*T^39 + 912*T^40 + 678*T^41 - 
        1548*T^42 + 838*T^43 + 274*T^44 - 648*T^45 + 410*T^46 - 130*T^47 + 
        18*T^48))/T^24 + (a*(36 - 212*T + 528*T^2 - 540*T^3 - 268*T^4 + 
        1272*T^5 - 972*T^6 - 204*T^7 + 12*T^8 + 4628*T^10 - 7284*T^11 - 
        8856*T^12 + 35132*T^13 - 23556*T^14 - 41976*T^15 + 78068*T^16 + 
        4932*T^17 - 131544*T^18 + 111156*T^19 + 76044*T^20 - 187056*T^21 + 
        42692*T^22 + 180492*T^23 - 177948*T^24 - 42640*T^25 + 177804*T^26 - 
        69660*T^27 - 101496*T^28 + 116004*T^29 - 4428*T^30 - 63256*T^31 + 
        32316*T^32 + 16668*T^33 - 22840*T^34 + 6012*T^35 + 1044*T^36 + 
        416*T^37 + 1068*T^38 - 3564*T^39 + 1812*T^40 + 1560*T^41 - 
        2124*T^42 + 404*T^43 + 816*T^44 - 756*T^45 + 292*T^46 - 48*T^47)*x*y)/
      T^24 + ((-18 + 120*T - 342*T^2 + 438*T^3 + 82*T^4 - 1086*T^5 + 
        1164*T^6 + 770*T^7 - 2826*T^8 + 1500*T^9 + 2702*T^10 - 4170*T^11 + 
        258*T^12 + 3270*T^13 - 624*T^14 - 3558*T^15 + 1086*T^16 + 4704*T^17 - 
        2334*T^18 - 7786*T^19 + 10338*T^20 + 1914*T^21 - 13884*T^22 + 
        8322*T^23 + 8322*T^24 - 13884*T^25 + 1914*T^26 + 10338*T^27 - 
        7786*T^28 - 2334*T^29 + 4704*T^30 + 1086*T^31 - 3558*T^32 - 
        624*T^33 + 3270*T^34 + 258*T^35 - 4170*T^36 + 2702*T^37 + 1500*T^38 - 
        2826*T^39 + 770*T^40 + 1164*T^41 - 1086*T^42 + 82*T^43 + 438*T^44 - 
        342*T^45 + 120*T^46 - 18*T^47)*x*y)/T^24 + 
     ((21 - 105*T + 216*T^2 - 123*T^3 - 291*T^4 + 558*T^5 - 75*T^6 - 
        579*T^7 + 315*T^8 + 48*T^9 + 1101*T^10 - 981*T^11 - 4698*T^12 + 
        9795*T^13 - 261*T^14 - 18834*T^15 + 16497*T^16 + 18837*T^17 - 
        43050*T^18 + 10113*T^19 + 46539*T^20 - 44676*T^21 - 23343*T^22 + 
        66267*T^23 - 23343*T^24 - 44676*T^25 + 46539*T^26 + 10113*T^27 - 
        43050*T^28 + 18837*T^29 + 16497*T^30 - 18834*T^31 - 261*T^32 + 
        9795*T^33 - 4698*T^34 - 981*T^35 + 1101*T^36 + 48*T^37 + 315*T^38 - 
        579*T^39 - 75*T^40 + 558*T^41 - 291*T^42 - 123*T^43 + 216*T^44 - 
        105*T^45 + 21*T^46)*x^2*y^2)/T^24}]}
