K13n3356
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Polynomial invariants
| Jones polynomial | Data:K13n3356/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-3 t^3+6 t^2-8 t+9-8 t^{-1} +6 t^{-2} -3 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3356/Conway Polynomial |
| Determinant | 45 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -z^6 a^{-2} +6 z^6 a^{-4} -4 z^4 a^{-2} +13 z^4 a^{-4} -z^4 a^{-8} -5 z^2 a^{-2} +14 z^2 a^{-4} -2 z^2 a^{-6} -2 z^2 a^{-8} -2 a^{-2} +7 a^{-4} -4 a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-4} +z^{10} a^{-6} +3 z^9 a^{-3} +4 z^9 a^{-5} +2 z^9 a^{-7} +z^9 a^{-9} +3 z^8 a^{-2} +3 z^8 a^{-4} -2 z^8 a^{-6} +2 z^8 a^{-10} +z^7 a^{-1} -8 z^7 a^{-3} -13 z^7 a^{-5} -13 z^7 a^{-7} -8 z^7 a^{-9} +z^7 a^{-11} -12 z^6 a^{-2} -24 z^6 a^{-4} -5 z^6 a^{-6} -5 z^6 a^{-8} -12 z^6 a^{-10} -4 z^5 a^{-1} -4 z^5 a^{-3} +5 z^5 a^{-5} +24 z^5 a^{-7} +14 z^5 a^{-9} -5 z^5 a^{-11} +14 z^4 a^{-2} +29 z^4 a^{-4} +10 z^4 a^{-6} +11 z^4 a^{-8} +16 z^4 a^{-10} +5 z^3 a^{-1} +13 z^3 a^{-3} +6 z^3 a^{-5} -13 z^3 a^{-7} -6 z^3 a^{-9} +5 z^3 a^{-11} -7 z^2 a^{-2} -17 z^2 a^{-4} -8 z^2 a^{-6} -2 z^2 a^{-8} -4 z^2 a^{-10} -2 z a^{-1} -5 z a^{-3} -6 z a^{-5} -z a^{-7} +z a^{-9} -z a^{-11} +2 a^{-2} +7 a^{-4} +4 a^{-6} }[/math] |
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