K13n3310
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Polynomial invariants
| Jones polynomial | Data:K13n3310/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+13 t^2-22 t+27-22 t^{-1} +13 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3310/Conway Polynomial |
| Determinant | 109 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-a^4 z^6+6 a^2 z^6-2 z^6-4 a^4 z^4+14 a^2 z^4+z^4 a^{-2} -8 z^4-5 a^4 z^2+14 a^2 z^2+2 z^2 a^{-2} -10 z^2-2 a^4+5 a^2+ a^{-2} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^3 z^{11}+2 a z^{11}+4 a^4 z^{10}+8 a^2 z^{10}+4 z^{10}+4 a^5 z^9-4 a^3 z^9-5 a z^9+3 z^9 a^{-1} +3 a^6 z^8-15 a^4 z^8-37 a^2 z^8+z^8 a^{-2} -18 z^8+a^7 z^7-14 a^5 z^7-a^3 z^7+5 a z^7-9 z^7 a^{-1} -12 a^6 z^6+21 a^4 z^6+75 a^2 z^6+2 z^6 a^{-2} +44 z^6-4 a^7 z^5+11 a^5 z^5+6 a^3 z^5+6 a z^5+19 z^5 a^{-1} +4 z^5 a^{-3} +12 a^6 z^4-21 a^4 z^4-75 a^2 z^4-3 z^4 a^{-2} +z^4 a^{-4} -46 z^4+4 a^7 z^3-a^5 z^3-9 a^3 z^3-12 a z^3-13 z^3 a^{-1} -5 z^3 a^{-3} -2 a^6 z^2+11 a^4 z^2+31 a^2 z^2+3 z^2 a^{-2} -z^2 a^{-4} +22 z^2-a^7 z+3 a^3 z+4 a z+3 z a^{-1} +z a^{-3} -2 a^4-5 a^2- a^{-2} -3 }[/math] |
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