K13n3781
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Polynomial invariants
| Jones polynomial | Data:K13n3781/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-12 t^2+25 t-31+25 t^{-1} -12 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3781/Conway Polynomial |
| Determinant | 111 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} -z^8 a^{-4} +9 z^6 a^{-2} -6 z^6 a^{-4} +z^6 a^{-6} -z^6+25 z^4 a^{-2} -16 z^4 a^{-4} +3 z^4 a^{-6} -6 z^4+30 z^2 a^{-2} -20 z^2 a^{-4} +4 z^2 a^{-6} -10 z^2+14 a^{-2} -10 a^{-4} +2 a^{-6} -5 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +2 z^{10} a^{-2} +5 z^{10} a^{-4} +4 z^{10} a^{-6} +z^{10}+a z^9+z^9 a^{-1} -2 z^9 a^{-3} +5 z^9 a^{-5} +7 z^9 a^{-7} -18 z^8 a^{-2} -20 z^8 a^{-4} -4 z^8 a^{-6} +7 z^8 a^{-8} -9 z^8-8 a z^7-15 z^7 a^{-1} -9 z^7 a^{-3} -19 z^7 a^{-5} -13 z^7 a^{-7} +4 z^7 a^{-9} +57 z^6 a^{-2} +46 z^6 a^{-4} -3 z^6 a^{-6} -15 z^6 a^{-8} +z^6 a^{-10} +24 z^6+20 a z^5+51 z^5 a^{-1} +54 z^5 a^{-3} +33 z^5 a^{-5} +z^5 a^{-7} -9 z^5 a^{-9} -66 z^4 a^{-2} -48 z^4 a^{-4} -2 z^4 a^{-6} +5 z^4 a^{-8} -2 z^4 a^{-10} -27 z^4-20 a z^3-56 z^3 a^{-1} -64 z^3 a^{-3} -32 z^3 a^{-5} +z^3 a^{-7} +5 z^3 a^{-9} +41 z^2 a^{-2} +30 z^2 a^{-4} +4 z^2 a^{-6} +z^2 a^{-10} +16 z^2+7 a z+20 z a^{-1} +25 z a^{-3} +13 z a^{-5} -z a^{-9} -14 a^{-2} -10 a^{-4} -2 a^{-6} -5 }[/math] |
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