K13n3892
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Polynomial invariants
| Jones polynomial | Data:K13n3892/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-4 t^2+9 t-11+9 t^{-1} -4 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n3892/Conway Polynomial |
| Determinant | 39 |
| 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+22 z^4 a^{-2} -19 z^4 a^{-4} +4 z^4 a^{-6} -5 z^4+27 z^2 a^{-2} -23 z^2 a^{-4} +6 z^2 a^{-6} -8 z^2+13 a^{-2} -11 a^{-4} +3 a^{-6} -4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +4 z^{10} a^{-2} +3 z^{10} a^{-4} +z^{10} a^{-6} +2 z^{10}+a z^9-4 z^9 a^{-1} -4 z^9 a^{-3} +4 z^9 a^{-5} +3 z^9 a^{-7} -32 z^8 a^{-2} -23 z^8 a^{-4} -z^8 a^{-6} +4 z^8 a^{-8} -14 z^8-7 a z^7-9 z^7 a^{-1} -15 z^7 a^{-3} -24 z^7 a^{-5} -8 z^7 a^{-7} +3 z^7 a^{-9} +76 z^6 a^{-2} +55 z^6 a^{-4} -2 z^6 a^{-6} -11 z^6 a^{-8} +z^6 a^{-10} +31 z^6+16 a z^5+44 z^5 a^{-1} +67 z^5 a^{-3} +54 z^5 a^{-5} +6 z^5 a^{-7} -9 z^5 a^{-9} -74 z^4 a^{-2} -54 z^4 a^{-4} -2 z^4 a^{-6} +5 z^4 a^{-8} -3 z^4 a^{-10} -30 z^4-15 a z^3-47 z^3 a^{-1} -69 z^3 a^{-3} -52 z^3 a^{-5} -9 z^3 a^{-7} +6 z^3 a^{-9} +41 z^2 a^{-2} +33 z^2 a^{-4} +4 z^2 a^{-6} -z^2 a^{-8} +2 z^2 a^{-10} +15 z^2+5 a z+16 z a^{-1} +25 z a^{-3} +19 z a^{-5} +4 z a^{-7} -z a^{-9} -13 a^{-2} -11 a^{-4} -3 a^{-6} -4 }[/math] |
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