K13n3645
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Polynomial invariants
| Jones polynomial | Data:K13n3645/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-12 t^3+32 t^2-50 t+57-50 t^{-1} +32 t^{-2} -12 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n3645/Conway Polynomial |
| Determinant | 249 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} +z^8 a^{-6} -z^6 a^{-2} +3 z^6 a^{-4} +3 z^6 a^{-6} -z^6 a^{-8} -2 z^4 a^{-2} +3 z^4 a^{-4} +2 z^4 a^{-6} -3 z^4 a^{-8} +3 z^2 a^{-4} -2 z^2 a^{-8} +z^2 a^{-10} + a^{-2} + a^{-4} - a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 4 z^{11} a^{-5} +4 z^{11} a^{-7} +10 z^{10} a^{-4} +23 z^{10} a^{-6} +13 z^{10} a^{-8} +10 z^9 a^{-3} +18 z^9 a^{-5} +23 z^9 a^{-7} +15 z^9 a^{-9} +5 z^8 a^{-2} -14 z^8 a^{-4} -44 z^8 a^{-6} -18 z^8 a^{-8} +7 z^8 a^{-10} +z^7 a^{-1} -25 z^7 a^{-3} -68 z^7 a^{-5} -71 z^7 a^{-7} -28 z^7 a^{-9} +z^7 a^{-11} -13 z^6 a^{-2} -14 z^6 a^{-4} +10 z^6 a^{-6} +13 z^6 a^{-8} +2 z^6 a^{-10} -2 z^5 a^{-1} +18 z^5 a^{-3} +55 z^5 a^{-5} +60 z^5 a^{-7} +36 z^5 a^{-9} +11 z^5 a^{-11} +11 z^4 a^{-2} +22 z^4 a^{-4} +6 z^4 a^{-6} -11 z^4 a^{-8} -3 z^4 a^{-10} +3 z^4 a^{-12} +z^3 a^{-1} -4 z^3 a^{-3} -16 z^3 a^{-5} -24 z^3 a^{-7} -21 z^3 a^{-9} -8 z^3 a^{-11} -2 z^2 a^{-2} -7 z^2 a^{-4} -3 z^2 a^{-6} +3 z^2 a^{-8} -z^2 a^{-12} +z a^{-3} +2 z a^{-5} +4 z a^{-7} +4 z a^{-9} +z a^{-11} - a^{-2} + a^{-4} + a^{-6} }[/math] |
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