K13n3220
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Polynomial invariants
| Jones polynomial | Data:K13n3220/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-14 t^2+26 t-29+26 t^{-1} -14 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3220/Conway Polynomial |
| Determinant | 115 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +2 z^6-3 a^2 z^4+z^4 a^{-2} -z^4 a^{-4} +7 z^4+a^4 z^2-8 a^2 z^2-3 z^2 a^{-2} -z^2 a^{-4} +8 z^2+2 a^4-4 a^2-2 a^{-2} + a^{-4} +4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +3 a^2 z^{10}+3 z^{10} a^{-2} +6 z^{10}+3 a^3 z^9+6 a z^9+7 z^9 a^{-1} +4 z^9 a^{-3} +a^4 z^8-8 a^2 z^8+3 z^8 a^{-4} -12 z^8-14 a^3 z^7-36 a z^7-27 z^7 a^{-1} -4 z^7 a^{-3} +z^7 a^{-5} -5 a^4 z^6-7 a^2 z^6-15 z^6 a^{-2} -z^6 a^{-4} -16 z^6+21 a^3 z^5+46 a z^5+18 z^5 a^{-1} -3 z^5 a^{-3} +4 z^5 a^{-5} +9 a^4 z^4+30 a^2 z^4+11 z^4 a^{-2} +4 z^4 a^{-6} +36 z^4-11 a^3 z^3-17 a z^3-3 z^3 a^{-1} +z^3 a^{-3} -z^3 a^{-5} +z^3 a^{-7} -7 a^4 z^2-20 a^2 z^2-6 z^2 a^{-2} -z^2 a^{-4} -z^2 a^{-6} -19 z^2+2 a^3 z+a z-z a^{-1} +2 a^4+4 a^2+2 a^{-2} + a^{-4} +4 }[/math] |
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