K13n31
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Polynomial invariants
| Jones polynomial | Data:K13n31/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+4 t^3-9 t^2+18 t-23+18 t^{-1} -9 t^{-2} +4 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n31/Conway Polynomial |
| Determinant | 87 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^8-3 z^2 a^8-3 a^8+2 z^6 a^6+9 z^4 a^6+14 z^2 a^6+6 a^6-z^8 a^4-6 z^6 a^4-13 z^4 a^4-10 z^2 a^4-2 a^4-z^4 a^2-2 z^2 a^2-2 a^2+z^4+3 z^2+2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-4 z^5 a^{11}+5 z^3 a^{11}-2 z a^{11}+3 z^8 a^{10}-11 z^6 a^{10}+11 z^4 a^{10}-3 z^2 a^{10}+4 z^9 a^9-12 z^7 a^9+6 z^5 a^9+z^3 a^9+3 z^{10} a^8-6 z^8 a^8-2 z^6 a^8-3 z^4 a^8+8 z^2 a^8-3 a^8+z^{11} a^7+3 z^9 a^7-17 z^7 a^7+17 z^5 a^7-12 z^3 a^7+4 z a^7+5 z^{10} a^6-19 z^8 a^6+32 z^6 a^6-36 z^4 a^6+21 z^2 a^6-6 a^6+z^{11} a^5-z^9 a^5-6 z^7 a^5+19 z^5 a^5-18 z^3 a^5+6 z a^5+2 z^{10} a^4-11 z^8 a^4+23 z^6 a^4-13 z^4 a^4+4 z^2 a^4-2 a^4+z^9 a^3-10 z^7 a^3+29 z^5 a^3-23 z^3 a^3+8 z a^3-7 z^6 a^2+23 z^4 a^2-16 z^2 a^2+2 a^2+z^9 a-8 z^7 a+17 z^5 a-13 z^3 a+4 z a+z^8-7 z^6+14 z^4-10 z^2+2 }[/math] |
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