K13n4120
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Polynomial invariants
| Jones polynomial | Data:K13n4120/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-11 t^2+33 t-45+33 t^{-1} -11 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n4120/Conway Polynomial |
| Determinant | 135 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-4} -4 z^4 a^{-2} +z^4 a^{-4} -2 z^4 a^{-6} -7 z^2 a^{-2} +2 z^2 a^{-4} -z^2 a^{-6} +z^2 a^{-8} +3 z^2-4 a^{-2} +2 a^{-4} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +z^{10} a^{-2} +5 z^{10} a^{-4} +4 z^{10} a^{-6} +7 z^9 a^{-5} +7 z^9 a^{-7} -8 z^8 a^{-4} -z^8 a^{-6} +7 z^8 a^{-8} +3 z^7 a^{-1} +3 z^7 a^{-3} -16 z^7 a^{-5} -12 z^7 a^{-7} +4 z^7 a^{-9} +8 z^6 a^{-4} -8 z^6 a^{-6} -15 z^6 a^{-8} +z^6 a^{-10} -z^5 a^{-1} +13 z^5 a^{-5} +3 z^5 a^{-7} -9 z^5 a^{-9} +12 z^4 a^{-2} +2 z^4 a^{-6} +7 z^4 a^{-8} -2 z^4 a^{-10} +5 z^4-2 z^3 a^{-1} -6 z^3 a^{-5} -3 z^3 a^{-7} +5 z^3 a^{-9} -15 z^2 a^{-2} -4 z^2 a^{-4} -z^2 a^{-8} +z^2 a^{-10} -9 z^2+z a^{-1} +z a^{-3} +z a^{-5} +z a^{-7} +4 a^{-2} +2 a^{-4} +3 }[/math] |
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