K13n1227
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Polynomial invariants
| Jones polynomial | Data:K13n1227/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+20 t^2-33 t+39-33 t^{-1} +20 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n1227/Conway Polynomial |
| Determinant | 161 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -z^6 a^{-2} +5 z^6 a^{-4} -3 z^6 a^{-6} -3 z^4 a^{-2} +11 z^4 a^{-4} -12 z^4 a^{-6} +2 z^4 a^{-8} -2 z^2 a^{-2} +13 z^2 a^{-4} -16 z^2 a^{-6} +5 z^2 a^{-8} +6 a^{-4} -8 a^{-6} +3 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +4 z^{10} a^{-4} +7 z^{10} a^{-6} +3 z^{10} a^{-8} +6 z^9 a^{-3} +12 z^9 a^{-5} +10 z^9 a^{-7} +4 z^9 a^{-9} +4 z^8 a^{-2} -z^8 a^{-4} -2 z^8 a^{-6} +6 z^8 a^{-8} +3 z^8 a^{-10} +z^7 a^{-1} -18 z^7 a^{-3} -37 z^7 a^{-5} -16 z^7 a^{-7} +3 z^7 a^{-9} +z^7 a^{-11} -14 z^6 a^{-2} -27 z^6 a^{-4} -31 z^6 a^{-6} -15 z^6 a^{-8} +3 z^6 a^{-10} -3 z^5 a^{-1} +14 z^5 a^{-3} +26 z^5 a^{-5} -7 z^5 a^{-7} -11 z^5 a^{-9} +5 z^5 a^{-11} +15 z^4 a^{-2} +40 z^4 a^{-4} +41 z^4 a^{-6} +9 z^4 a^{-8} -4 z^4 a^{-10} +3 z^4 a^{-12} +2 z^3 a^{-1} -2 z^3 a^{-3} -2 z^3 a^{-5} +19 z^3 a^{-7} +12 z^3 a^{-9} -5 z^3 a^{-11} -5 z^2 a^{-2} -23 z^2 a^{-4} -27 z^2 a^{-6} -4 z^2 a^{-8} +2 z^2 a^{-10} -3 z^2 a^{-12} +z a^{-3} -4 z a^{-5} -10 z a^{-7} -4 z a^{-9} +z a^{-11} +6 a^{-4} +8 a^{-6} +3 a^{-8} }[/math] |
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