K13n4229
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Polynomial invariants
| Jones polynomial | Data:K13n4229/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+16 t^2-20 t+21-20 t^{-1} +16 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4229/Conway Polynomial |
| Determinant | 109 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -2 z^6 a^{-2} +4 z^6 a^{-4} -z^6 a^{-6} -7 z^4 a^{-2} +3 z^4 a^{-4} -3 z^4 a^{-6} +z^4-5 z^2 a^{-2} -2 z^2 a^{-4} +z^2 a^{-8} +3 z^2-3 a^{-4} +2 a^{-6} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-3} +2 z^{11} a^{-5} +4 z^{10} a^{-2} +10 z^{10} a^{-4} +6 z^{10} a^{-6} +3 z^9 a^{-1} +z^9 a^{-3} +4 z^9 a^{-5} +6 z^9 a^{-7} -14 z^8 a^{-2} -39 z^8 a^{-4} -22 z^8 a^{-6} +2 z^8 a^{-8} +z^8-13 z^7 a^{-1} -29 z^7 a^{-3} -41 z^7 a^{-5} -25 z^7 a^{-7} +8 z^6 a^{-2} +43 z^6 a^{-4} +24 z^6 a^{-6} -6 z^6 a^{-8} -5 z^6+17 z^5 a^{-1} +40 z^5 a^{-3} +61 z^5 a^{-5} +39 z^5 a^{-7} +z^5 a^{-9} +6 z^4 a^{-2} -26 z^4 a^{-4} -13 z^4 a^{-6} +10 z^4 a^{-8} +9 z^4-7 z^3 a^{-1} -16 z^3 a^{-3} -37 z^3 a^{-5} -27 z^3 a^{-7} +z^3 a^{-9} -3 z^2 a^{-2} +14 z^2 a^{-4} +5 z^2 a^{-6} -4 z^2 a^{-8} +z^2 a^{-10} -7 z^2+2 z a^{-3} +8 z a^{-5} +7 z a^{-7} +z a^{-9} -3 a^{-4} -2 a^{-6} +2 }[/math] |
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