K13n1468
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Polynomial invariants
| Jones polynomial | Data:K13n1468/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-13 t^2+32 t-41+32 t^{-1} -13 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1468/Conway Polynomial |
| Determinant | 135 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^6-2 z^4 a^4-z^2 a^4+2 a^4+z^6 a^2-4 z^2 a^2-4 a^2+z^6+2 z^4+3 z^2+3-z^4 a^{-2} -z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+3 a^4 z^{10}+7 a^2 z^{10}+4 z^{10}+3 a^5 z^9+8 a^3 z^9+11 a z^9+6 z^9 a^{-1} +a^6 z^8-4 a^4 z^8-12 a^2 z^8+4 z^8 a^{-2} -3 z^8-6 a^5 z^7-31 a^3 z^7-45 a z^7-19 z^7 a^{-1} +z^7 a^{-3} +3 a^6 z^6+3 a^4 z^6-11 a^2 z^6-14 z^6 a^{-2} -25 z^6+4 a^7 z^5+15 a^5 z^5+44 a^3 z^5+51 a z^5+15 z^5 a^{-1} -3 z^5 a^{-3} +a^8 z^4-2 a^6 z^4+5 a^4 z^4+31 a^2 z^4+14 z^4 a^{-2} +37 z^4-4 a^7 z^3-12 a^5 z^3-28 a^3 z^3-27 a z^3-5 z^3 a^{-1} +2 z^3 a^{-3} -a^8 z^2-7 a^4 z^2-21 a^2 z^2-5 z^2 a^{-2} -18 z^2+a^7 z+3 a^5 z+7 a^3 z+7 a z+2 z a^{-1} +2 a^4+4 a^2+3 }[/math] |
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