K13n376
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Polynomial invariants
| Jones polynomial | Data:K13n376/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+14 t^2-20 t+23-20 t^{-1} +14 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n376/Conway Polynomial |
| Determinant | 105 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -2 z^6 a^{-2} +5 z^6 a^{-4} -z^6 a^{-6} -8 z^4 a^{-2} +8 z^4 a^{-4} -3 z^4 a^{-6} +z^4-8 z^2 a^{-2} +4 z^2 a^{-4} -z^2 a^{-6} +3 z^2- a^{-2} - a^{-4} + a^{-6} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +3 z^{10} a^{-2} +6 z^{10} a^{-4} +3 z^{10} a^{-6} +3 z^9 a^{-1} +5 z^9 a^{-3} +6 z^9 a^{-5} +4 z^9 a^{-7} -9 z^8 a^{-2} -16 z^8 a^{-4} -3 z^8 a^{-6} +3 z^8 a^{-8} +z^8-14 z^7 a^{-1} -33 z^7 a^{-3} -29 z^7 a^{-5} -9 z^7 a^{-7} +z^7 a^{-9} -3 z^6 a^{-2} -3 z^6 a^{-4} -10 z^6 a^{-6} -5 z^6 a^{-8} -5 z^6+20 z^5 a^{-1} +41 z^5 a^{-3} +29 z^5 a^{-5} +11 z^5 a^{-7} +3 z^5 a^{-9} +22 z^4 a^{-2} +19 z^4 a^{-4} +11 z^4 a^{-6} +9 z^4 a^{-8} +4 z^4 a^{-10} +9 z^4-9 z^3 a^{-1} -13 z^3 a^{-3} -14 z^3 a^{-5} -13 z^3 a^{-7} -2 z^3 a^{-9} +z^3 a^{-11} -13 z^2 a^{-2} -5 z^2 a^{-4} -4 z^2 a^{-6} -7 z^2 a^{-8} -2 z^2 a^{-10} -7 z^2+z a^{-3} +5 z a^{-5} +5 z a^{-7} +z a^{-9} + a^{-2} - a^{-4} - a^{-6} +2 }[/math] |
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