K13n2687
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Polynomial invariants
| Jones polynomial | Data:K13n2687/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-10 t^2+26 t-35+26 t^{-1} -10 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2687/Conway Polynomial |
| Determinant | 111 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^8-2 z^2 a^8-2 a^8+z^6 a^6+3 z^4 a^6+5 z^2 a^6+2 a^6+z^6 a^4+2 z^4 a^4+3 z^2 a^4+2 a^4-2 z^4 a^2-3 z^2 a^2-2 a^2+z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-4 z^5 a^{11}+4 z^3 a^{11}-z a^{11}+3 z^8 a^{10}-11 z^6 a^{10}+10 z^4 a^{10}-2 z^2 a^{10}+5 z^9 a^9-19 z^7 a^9+22 z^5 a^9-13 z^3 a^9+4 z a^9+4 z^{10} a^8-12 z^8 a^8+10 z^6 a^8-9 z^4 a^8+6 z^2 a^8-2 a^8+z^{11} a^7+6 z^9 a^7-31 z^7 a^7+42 z^5 a^7-28 z^3 a^7+7 z a^7+6 z^{10} a^6-18 z^8 a^6+19 z^6 a^6-11 z^4 a^6+4 z^2 a^6-2 a^6+z^{11} a^5+3 z^9 a^5-15 z^7 a^5+22 z^5 a^5-12 z^3 a^5+3 z a^5+2 z^{10} a^4-2 z^8 a^4-3 z^6 a^4+14 z^4 a^4-10 z^2 a^4+2 a^4+2 z^9 a^3-4 z^7 a^3+9 z^5 a^3-5 z^3 a^3+2 z a^3+z^8 a^2-z^6 a^2+7 z^4 a^2-8 z^2 a^2+2 a^2+3 z^5 a-4 z^3 a+z a+z^4-2 z^2+1 }[/math] |
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