K13n3368
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Polynomial invariants
| Jones polynomial | Data:K13n3368/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-24 t^2+48 t-59+48 t^{-1} -24 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3368/Conway Polynomial |
| Determinant | 219 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -4 z^6 a^{-2} +z^6 a^{-4} +2 z^6-a^2 z^4-8 z^4 a^{-2} +z^4 a^{-4} +6 z^4-2 a^2 z^2-9 z^2 a^{-2} +z^2 a^{-4} +z^2 a^{-6} +8 z^2-a^2-5 a^{-2} +2 a^{-4} +5 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-1} +3 z^{11} a^{-3} +17 z^{10} a^{-2} +10 z^{10} a^{-4} +7 z^{10}+7 a z^9+13 z^9 a^{-1} +18 z^9 a^{-3} +12 z^9 a^{-5} +4 a^2 z^8-29 z^8 a^{-2} -12 z^8 a^{-4} +6 z^8 a^{-6} -7 z^8+a^3 z^7-16 a z^7-46 z^7 a^{-1} -52 z^7 a^{-3} -22 z^7 a^{-5} +z^7 a^{-7} -12 a^2 z^6-4 z^6 a^{-2} +4 z^6 a^{-4} -20 z^6-3 a^3 z^5+7 a z^5+30 z^5 a^{-1} +38 z^5 a^{-3} +27 z^5 a^{-5} +9 z^5 a^{-7} +13 a^2 z^4+22 z^4 a^{-2} +z^4 a^{-4} +3 z^4 a^{-8} +31 z^4+3 a^3 z^3+4 a z^3-4 z^3 a^{-1} -9 z^3 a^{-3} -12 z^3 a^{-5} -8 z^3 a^{-7} -6 a^2 z^2-18 z^2 a^{-2} -3 z^2 a^{-4} -2 z^2 a^{-8} -19 z^2-a^3 z-2 a z-z a^{-1} +z a^{-5} +z a^{-7} +a^2+5 a^{-2} +2 a^{-4} +5 }[/math] |
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