K13n1392
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Polynomial invariants
| Jones polynomial | Data:K13n1392/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^2-12 t+21-12 t^{-1} +2 t^{-2} }[/math] |
| Conway polynomial | Data:K13n1392/Conway Polynomial |
| Determinant | 49 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} +z^6-2 a^2 z^4-4 z^4 a^{-2} +2 z^4 a^{-4} +6 z^4+a^4 z^2-7 a^2 z^2-8 z^2 a^{-2} +3 z^2 a^{-4} -z^2 a^{-6} +8 z^2+2 a^4-4 a^2-4 a^{-2} +2 a^{-4} +5 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +a^2 z^{10}+5 z^{10} a^{-2} +4 z^{10} a^{-4} +2 z^{10}+2 a^3 z^9+3 a z^9-z^9 a^{-1} +4 z^9 a^{-3} +6 z^9 a^{-5} +a^4 z^8-4 a^2 z^8-24 z^8 a^{-2} -12 z^8 a^{-4} +4 z^8 a^{-6} -13 z^8-12 a^3 z^7-24 a z^7-25 z^7 a^{-1} -38 z^7 a^{-3} -24 z^7 a^{-5} +z^7 a^{-7} -6 a^4 z^6-6 a^2 z^6+20 z^6 a^{-2} -6 z^6 a^{-4} -15 z^6 a^{-6} +11 z^6+20 a^3 z^5+45 a z^5+59 z^5 a^{-1} +59 z^5 a^{-3} +22 z^5 a^{-5} -3 z^5 a^{-7} +11 a^4 z^4+23 a^2 z^4+16 z^4 a^{-2} +23 z^4 a^{-4} +12 z^4 a^{-6} +17 z^4-13 a^3 z^3-29 a z^3-39 z^3 a^{-1} -32 z^3 a^{-3} -8 z^3 a^{-5} +z^3 a^{-7} -8 a^4 z^2-18 a^2 z^2-19 z^2 a^{-2} -13 z^2 a^{-4} -3 z^2 a^{-6} -19 z^2+3 a^3 z+6 a z+8 z a^{-1} +6 z a^{-3} +z a^{-5} +2 a^4+4 a^2+4 a^{-2} +2 a^{-4} +5 }[/math] |
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