K13n2376
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Polynomial invariants
| Jones polynomial | Data:K13n2376/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t+5-2 t^{-1} }[/math] |
| Conway polynomial | Data:K13n2376/Conway Polynomial |
| Determinant | 9 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^6+z^6 a^{-2} +a^4 z^4-5 a^2 z^4+5 z^4 a^{-2} -z^4 a^{-4} +3 a^4 z^2-8 a^2 z^2+7 z^2 a^{-2} -3 z^2 a^{-4} -z^2+2 a^4-3 a^2+3 a^{-2} - a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +3 z^{10} a^{-2} +2 z^{10} a^{-4} +z^{10}+a^3 z^9-8 z^9 a^{-1} -6 z^9 a^{-3} +z^9 a^{-5} +2 a^4 z^8+2 a^2 z^8-24 z^8 a^{-2} -15 z^8 a^{-4} -9 z^8+2 a^5 z^7-3 a^3 z^7+20 z^7 a^{-1} +8 z^7 a^{-3} -7 z^7 a^{-5} +a^6 z^6-8 a^4 z^6-11 a^2 z^6+62 z^6 a^{-2} +37 z^6 a^{-4} +23 z^6-8 a^5 z^5-a^3 z^5-4 a z^5-24 z^5 a^{-1} +2 z^5 a^{-3} +15 z^5 a^{-5} -4 a^6 z^4+8 a^4 z^4+19 a^2 z^4-66 z^4 a^{-2} -36 z^4 a^{-4} -23 z^4+7 a^5 z^3+5 a^3 z^3+9 a z^3+17 z^3 a^{-1} -4 z^3 a^{-3} -10 z^3 a^{-5} +3 a^6 z^2-5 a^4 z^2-14 a^2 z^2+28 z^2 a^{-2} +13 z^2 a^{-4} +9 z^2-2 a^5 z-3 a^3 z-4 a z-4 z a^{-1} +z a^{-5} +2 a^4+3 a^2-3 a^{-2} - a^{-4} }[/math] |
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