K13n3417
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Polynomial invariants
| Jones polynomial | Data:K13n3417/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+13 t^2-38 t+55-38 t^{-1} +13 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3417/Conway Polynomial |
| Determinant | 161 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^6 a^{-2} -6 z^4 a^{-2} +3 z^4 a^{-4} +4 z^4-3 a^2 z^2-9 z^2 a^{-2} +4 z^2 a^{-4} -z^2 a^{-6} +5 z^2+a^4-a^2-3 a^{-2} +2 a^{-4} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +12 z^{10} a^{-2} +7 z^{10} a^{-4} +5 z^{10}+4 a z^9+9 z^9 a^{-1} +14 z^9 a^{-3} +9 z^9 a^{-5} +a^2 z^8-28 z^8 a^{-2} -10 z^8 a^{-4} +5 z^8 a^{-6} -12 z^8-12 a z^7-47 z^7 a^{-1} -62 z^7 a^{-3} -26 z^7 a^{-5} +z^7 a^{-7} +a^2 z^6+z^6 a^{-2} -22 z^6 a^{-4} -14 z^6 a^{-6} +10 z^6+3 a^3 z^5+25 a z^5+69 z^5 a^{-1} +66 z^5 a^{-3} +17 z^5 a^{-5} -2 z^5 a^{-7} +a^4 z^4+2 a^2 z^4+31 z^4 a^{-2} +32 z^4 a^{-4} +10 z^4 a^{-6} +10 z^4-4 a^3 z^3-15 a z^3-36 z^3 a^{-1} -30 z^3 a^{-3} -4 z^3 a^{-5} +z^3 a^{-7} -2 a^4 z^2-3 a^2 z^2-20 z^2 a^{-2} -14 z^2 a^{-4} -2 z^2 a^{-6} -9 z^2+a^3 z+2 a z+6 z a^{-1} +6 z a^{-3} +z a^{-5} +a^4+a^2+3 a^{-2} +2 a^{-4} +2 }[/math] |
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