K13n3285
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Polynomial invariants
| Jones polynomial | Data:K13n3285/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-10 t^2+20 t-23+20 t^{-1} -10 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3285/Conway Polynomial |
| Determinant | 87 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6-3 a^2 z^4-3 z^4 a^{-2} +8 z^4+a^4 z^2-8 a^2 z^2-7 z^2 a^{-2} +z^2 a^{-4} +11 z^2+2 a^4-5 a^2-3 a^{-2} + a^{-4} +6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +3 a^2 z^{10}+3 z^{10} a^{-2} +6 z^{10}+3 a^3 z^9+6 a z^9+6 z^9 a^{-1} +3 z^9 a^{-3} +a^4 z^8-8 a^2 z^8-6 z^8 a^{-2} +z^8 a^{-4} -16 z^8-14 a^3 z^7-41 a z^7-38 z^7 a^{-1} -11 z^7 a^{-3} -5 a^4 z^6-9 a^2 z^6-16 z^6 a^{-2} -4 z^6 a^{-4} -16 z^6+21 a^3 z^5+56 a z^5+44 z^5 a^{-1} +9 z^5 a^{-3} +9 a^4 z^4+32 a^2 z^4+37 z^4 a^{-2} +7 z^4 a^{-4} +53 z^4-13 a^3 z^3-26 a z^3-12 z^3 a^{-1} +2 z^3 a^{-3} +z^3 a^{-5} -7 a^4 z^2-24 a^2 z^2-21 z^2 a^{-2} -5 z^2 a^{-4} -33 z^2+3 a^3 z+4 a z-2 z a^{-3} -z a^{-5} +2 a^4+5 a^2+3 a^{-2} + a^{-4} +6 }[/math] |
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