K13n2780
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Polynomial invariants
| Jones polynomial | Data:K13n2780/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-9 t^2+22 t-29+22 t^{-1} -9 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2780/Conway Polynomial |
| Determinant | 95 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^8-3 z^2 a^8-3 a^8+z^6 a^6+4 z^4 a^6+8 z^2 a^6+5 a^6+z^6 a^4+2 z^4 a^4+z^2 a^4-a^4-2 z^4 a^2-3 z^2 a^2-a^2+z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-5 z^5 a^{11}+7 z^3 a^{11}-2 z a^{11}+2 z^8 a^{10}-8 z^6 a^{10}+8 z^4 a^{10}-z^2 a^{10}+3 z^9 a^9-12 z^7 a^9+16 z^5 a^9-11 z^3 a^9+3 z a^9+3 z^{10} a^8-13 z^8 a^8+27 z^6 a^8-36 z^4 a^8+19 z^2 a^8-3 a^8+z^{11} a^7+z^9 a^7-13 z^7 a^7+27 z^5 a^7-29 z^3 a^7+8 z a^7+5 z^{10} a^6-21 z^8 a^6+45 z^6 a^6-54 z^4 a^6+28 z^2 a^6-5 a^6+z^{11} a^5-5 z^7 a^5+14 z^5 a^5-13 z^3 a^5+4 z a^5+2 z^{10} a^4-5 z^8 a^4+9 z^6 a^4-5 z^4 a^4+4 z^2 a^4-a^4+2 z^9 a^3-5 z^7 a^3+11 z^5 a^3-6 z^3 a^3+2 z a^3+z^8 a^2-z^6 a^2+6 z^4 a^2-6 z^2 a^2+a^2+3 z^5 a-4 z^3 a+z a+z^4-2 z^2+1 }[/math] |
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