K13n383
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Polynomial invariants
| Jones polynomial | Data:K13n383/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-2 t^3-2 t^2+14 t-21+14 t^{-1} -2 t^{-2} -2 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n383/Conway Polynomial |
| Determinant | 47 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -z^6 a^{-2} +7 z^6 a^{-4} -5 z^4 a^{-2} +15 z^4 a^{-4} -2 z^4 a^{-6} -2 z^4 a^{-8} -5 z^2 a^{-2} +14 z^2 a^{-4} -2 z^2 a^{-6} -4 z^2 a^{-8} +z^2 a^{-10} - a^{-2} +4 a^{-4} -3 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +3 z^{10} a^{-6} +6 z^{10} a^{-8} +3 z^{10} a^{-10} +z^9 a^{-3} +3 z^9 a^{-5} +2 z^9 a^{-7} +3 z^9 a^{-9} +3 z^9 a^{-11} +2 z^8 a^{-2} +2 z^8 a^{-4} -16 z^8 a^{-6} -30 z^8 a^{-8} -13 z^8 a^{-10} +z^8 a^{-12} +z^7 a^{-1} -6 z^7 a^{-3} -21 z^7 a^{-5} -35 z^7 a^{-7} -37 z^7 a^{-9} -16 z^7 a^{-11} -12 z^6 a^{-2} -18 z^6 a^{-4} +18 z^6 a^{-6} +40 z^6 a^{-8} +11 z^6 a^{-10} -5 z^6 a^{-12} -5 z^5 a^{-1} +5 z^5 a^{-3} +36 z^5 a^{-5} +70 z^5 a^{-7} +70 z^5 a^{-9} +26 z^5 a^{-11} +18 z^4 a^{-2} +33 z^4 a^{-4} -2 z^4 a^{-6} -22 z^4 a^{-8} +2 z^4 a^{-10} +7 z^4 a^{-12} +5 z^3 a^{-1} +2 z^3 a^{-3} -21 z^3 a^{-5} -52 z^3 a^{-7} -51 z^3 a^{-9} -17 z^3 a^{-11} -9 z^2 a^{-2} -20 z^2 a^{-4} -3 z^2 a^{-6} +9 z^2 a^{-8} -2 z^2 a^{-10} -3 z^2 a^{-12} -z a^{-1} -z a^{-3} +3 z a^{-5} +13 z a^{-7} +14 z a^{-9} +4 z a^{-11} + a^{-2} +4 a^{-4} -3 a^{-8} - a^{-10} }[/math] |
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