K13n4063
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Polynomial invariants
| Jones polynomial | Data:K13n4063/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+11 t^2-15 t+17-15 t^{-1} +11 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4063/Conway Polynomial |
| Determinant | 81 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +5 z^6 a^{-2} -z^6 a^{-4} -z^6+8 z^4 a^{-2} -3 z^4 a^{-4} -4 z^4+a^2 z^2+6 z^2 a^{-2} -2 z^2 a^{-4} -5 z^2+a^2+3 a^{-2} - a^{-4} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +5 z^{10} a^{-2} +4 z^{10} a^{-4} +z^{10}-3 z^9 a^{-1} +3 z^9 a^{-3} +6 z^9 a^{-5} -22 z^8 a^{-2} -12 z^8 a^{-4} +4 z^8 a^{-6} -6 z^8+2 z^7 a^{-1} -21 z^7 a^{-3} -22 z^7 a^{-5} +z^7 a^{-7} +36 z^6 a^{-2} +6 z^6 a^{-4} -14 z^6 a^{-6} +16 z^6+z^5 a^{-1} +23 z^5 a^{-3} +19 z^5 a^{-5} -3 z^5 a^{-7} -a^2 z^4-31 z^4 a^{-2} -4 z^4 a^{-4} +11 z^4 a^{-6} -17 z^4+4 a z^3+2 z^3 a^{-1} -9 z^3 a^{-3} -5 z^3 a^{-5} +2 z^3 a^{-7} +3 a^2 z^2+13 z^2 a^{-2} +4 z^2 a^{-4} -z^2 a^{-6} +11 z^2-a z-z a^{-1} +z a^{-3} +z a^{-5} -a^2-3 a^{-2} - a^{-4} -2 }[/math] |
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