K13n2454
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Polynomial invariants
| Jones polynomial | Data:K13n2454/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+11 t^2-24 t+31-24 t^{-1} +11 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2454/Conway Polynomial |
| Determinant | 105 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^6-z^6 a^{-2} -2 z^6-a^4 z^4+8 a^2 z^4-z^4 a^{-2} +z^4 a^{-4} -8 z^4-4 a^4 z^2+16 a^2 z^2+2 z^2 a^{-2} +z^2 a^{-4} -13 z^2-4 a^4+10 a^2+2 a^{-2} -7 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +a^4 z^{10}+2 a^2 z^{10}+5 z^{10} a^{-2} +6 z^{10}+a^5 z^9+a^3 z^9-a z^9+8 z^9 a^{-1} +9 z^9 a^{-3} -9 a^4 z^8-17 a^2 z^8-10 z^8 a^{-2} +8 z^8 a^{-4} -26 z^8-8 a^5 z^7-14 a^3 z^7-16 a z^7-42 z^7 a^{-1} -28 z^7 a^{-3} +4 z^7 a^{-5} +24 a^4 z^6+50 a^2 z^6-2 z^6 a^{-2} -22 z^6 a^{-4} +z^6 a^{-6} +47 z^6+20 a^5 z^5+46 a^3 z^5+60 a z^5+71 z^5 a^{-1} +28 z^5 a^{-3} -9 z^5 a^{-5} -26 a^4 z^4-55 a^2 z^4+11 z^4 a^{-2} +14 z^4 a^{-4} -2 z^4 a^{-6} -34 z^4-20 a^5 z^3-51 a^3 z^3-59 a z^3-46 z^3 a^{-1} -16 z^3 a^{-3} +2 z^3 a^{-5} +13 a^4 z^2+30 a^2 z^2-2 z^2 a^{-2} -5 z^2 a^{-4} +20 z^2+7 a^5 z+17 a^3 z+19 a z+13 z a^{-1} +4 z a^{-3} -4 a^4-10 a^2-2 a^{-2} -7 }[/math] |
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