K13n3909
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Polynomial invariants
| Jones polynomial | Data:K13n3909/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+13 t^2-36 t+51-36 t^{-1} +13 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3909/Conway Polynomial |
| Determinant | 153 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^6-z^6+a^4 z^4-2 a^2 z^4+3 z^4 a^{-2} -z^4+a^4 z^2-3 a^2 z^2+5 z^2 a^{-2} -2 z^2 a^{-4} -3 z^2+a^4+4 a^{-2} - a^{-4} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +6 a^2 z^{10}+5 z^{10} a^{-2} +11 z^{10}+9 a^3 z^9+8 a z^9+3 z^9 a^{-1} +4 z^9 a^{-3} +8 a^4 z^8-10 a^2 z^8-19 z^8 a^{-2} +z^8 a^{-4} -38 z^8+4 a^5 z^7-25 a^3 z^7-43 a z^7-26 z^7 a^{-1} -12 z^7 a^{-3} +a^6 z^6-22 a^4 z^6-5 a^2 z^6+43 z^6 a^{-2} +4 z^6 a^{-4} +57 z^6-9 a^5 z^5+23 a^3 z^5+68 a z^5+54 z^5 a^{-1} +21 z^5 a^{-3} +3 z^5 a^{-5} -2 a^6 z^4+16 a^4 z^4+17 a^2 z^4-50 z^4 a^{-2} -16 z^4 a^{-4} -35 z^4+2 a^5 z^3-12 a^3 z^3-36 a z^3-36 z^3 a^{-1} -21 z^3 a^{-3} -7 z^3 a^{-5} -6 a^4 z^2-6 a^2 z^2+26 z^2 a^{-2} +11 z^2 a^{-4} +15 z^2+3 a^3 z+5 a z+5 z a^{-1} +5 z a^{-3} +2 z a^{-5} +a^4-4 a^{-2} - a^{-4} -3 }[/math] |
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