K13n3440
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Polynomial invariants
| Jones polynomial | Data:K13n3440/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-8 t^3+26 t^2-51 t+65-51 t^{-1} +26 t^{-2} -8 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3440/Conway Polynomial |
| Determinant | 237 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-3 a^2 z^6-z^6 a^{-2} +4 z^6+3 a^4 z^4-9 a^2 z^4-3 z^4 a^{-2} +7 z^4-a^6 z^2+6 a^4 z^2-10 a^2 z^2-4 z^2 a^{-2} +z^2 a^{-4} +5 z^2-a^6+4 a^4-4 a^2- a^{-2} + a^{-4} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a^3 z^{11}+3 a z^{11}+7 a^4 z^{10}+18 a^2 z^{10}+11 z^{10}+7 a^5 z^9+15 a^3 z^9+24 a z^9+16 z^9 a^{-1} +4 a^6 z^8-6 a^4 z^8-25 a^2 z^8+11 z^8 a^{-2} -4 z^8+a^7 z^7-16 a^5 z^7-50 a^3 z^7-62 a z^7-26 z^7 a^{-1} +3 z^7 a^{-3} -12 a^6 z^6-22 a^4 z^6-19 a^2 z^6-10 z^6 a^{-2} -19 z^6-3 a^7 z^5+8 a^5 z^5+34 a^3 z^5+36 a z^5+22 z^5 a^{-1} +9 z^5 a^{-3} +13 a^6 z^4+35 a^4 z^4+35 a^2 z^4+9 z^4 a^{-2} +6 z^4 a^{-4} +16 z^4+3 a^7 z^3+3 a^5 z^3-4 a^3 z^3-2 a z^3-7 z^3 a^{-1} -9 z^3 a^{-3} -6 a^6 z^2-20 a^4 z^2-19 a^2 z^2-6 z^2 a^{-2} -5 z^2 a^{-4} -6 z^2-a^7 z-2 a^5 z-a^3 z-2 a z-z a^{-1} +z a^{-3} +a^6+4 a^4+4 a^2+ a^{-2} + a^{-4} +2 }[/math] |
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