K13n3828
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Polynomial invariants
| Jones polynomial | Data:K13n3828/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-5 t^2+11 t-13+11 t^{-1} -5 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n3828/Conway Polynomial |
| Determinant | 47 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} -z^8 a^{-4} +8 z^6 a^{-2} -7 z^6 a^{-4} +z^6 a^{-6} -z^6+21 z^4 a^{-2} -19 z^4 a^{-4} +4 z^4 a^{-6} -5 z^4+23 z^2 a^{-2} -22 z^2 a^{-4} +6 z^2 a^{-6} -7 z^2+9 a^{-2} -9 a^{-4} +3 a^{-6} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +3 z^{10} a^{-2} +2 z^{10} a^{-4} +z^{10} a^{-6} +2 z^{10}+a z^9-6 z^9 a^{-1} -7 z^9 a^{-3} +3 z^9 a^{-5} +3 z^9 a^{-7} -27 z^8 a^{-2} -16 z^8 a^{-4} +4 z^8 a^{-8} -15 z^8-7 a z^7+4 z^7 a^{-1} +8 z^7 a^{-3} -13 z^7 a^{-5} -7 z^7 a^{-7} +3 z^7 a^{-9} +74 z^6 a^{-2} +46 z^6 a^{-4} -4 z^6 a^{-6} -11 z^6 a^{-8} +z^6 a^{-10} +36 z^6+15 a z^5+17 z^5 a^{-1} +16 z^5 a^{-3} +26 z^5 a^{-5} +3 z^5 a^{-7} -9 z^5 a^{-9} -82 z^4 a^{-2} -55 z^4 a^{-4} +6 z^4 a^{-8} -3 z^4 a^{-10} -36 z^4-11 a z^3-21 z^3 a^{-1} -23 z^3 a^{-3} -23 z^3 a^{-5} -4 z^3 a^{-7} +6 z^3 a^{-9} +43 z^2 a^{-2} +35 z^2 a^{-4} +4 z^2 a^{-6} -2 z^2 a^{-8} +2 z^2 a^{-10} +16 z^2+2 a z+5 z a^{-1} +8 z a^{-3} +8 z a^{-5} +2 z a^{-7} -z a^{-9} -9 a^{-2} -9 a^{-4} -3 a^{-6} -2 }[/math] |
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