K13n2169
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Polynomial invariants
| Jones polynomial | Data:K13n2169/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^2-6 t+9-6 t^{-1} +2 t^{-2} }[/math] |
| Conway polynomial | Data:K13n2169/Conway Polynomial |
| Determinant | 25 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^6-z^6 a^{-2} -a^4 z^4+5 a^2 z^4-4 z^4 a^{-2} +z^4 a^{-4} +z^4-3 a^4 z^2+7 a^2 z^2-6 z^2 a^{-2} +2 z^2 a^{-4} +2 z^2-2 a^4+3 a^2-3 a^{-2} + a^{-4} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+2 a^4 z^{10}+4 a^2 z^{10}+2 z^{10}+a^5 z^9-4 a^3 z^9-5 a z^9+z^9 a^{-1} +z^9 a^{-3} -14 a^4 z^8-30 a^2 z^8+3 z^8 a^{-2} +3 z^8 a^{-4} -16 z^8-7 a^5 z^7-7 a^3 z^7-5 a z^7-6 z^7 a^{-1} +2 z^7 a^{-3} +3 z^7 a^{-5} +31 a^4 z^6+66 a^2 z^6-9 z^6 a^{-2} -8 z^6 a^{-4} +z^6 a^{-6} +35 z^6+16 a^5 z^5+36 a^3 z^5+36 a z^5+11 z^5 a^{-1} -15 z^5 a^{-3} -10 z^5 a^{-5} -28 a^4 z^4-54 a^2 z^4+7 z^4 a^{-2} +2 z^4 a^{-4} -3 z^4 a^{-6} -24 z^4-15 a^5 z^3-36 a^3 z^3-33 a z^3-7 z^3 a^{-1} +13 z^3 a^{-3} +8 z^3 a^{-5} +11 a^4 z^2+19 a^2 z^2-6 z^2 a^{-2} +2 z^2 a^{-6} +4 z^2+5 a^5 z+11 a^3 z+9 a z+z a^{-1} -4 z a^{-3} -2 z a^{-5} -2 a^4-3 a^2+3 a^{-2} + a^{-4} +2 }[/math] |
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