K13n3311
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Polynomial invariants
| Jones polynomial | Data:K13n3311/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-4 t^3+10 t^2-13 t+13-13 t^{-1} +10 t^{-2} -4 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3311/Conway Polynomial |
| Determinant | 69 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^8-5 z^4 a^8-8 z^2 a^8-5 a^8+z^8 a^6+7 z^6 a^6+19 z^4 a^6+23 z^2 a^6+9 a^6-2 z^6 a^4-9 z^4 a^4-11 z^2 a^4-4 a^4+z^4 a^2+3 z^2 a^2+a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^5 a^{13}-3 z^3 a^{13}+z a^{13}+2 z^6 a^{12}-5 z^4 a^{12}+z^2 a^{12}+3 z^7 a^{11}-9 z^5 a^{11}+8 z^3 a^{11}-3 z a^{11}+3 z^8 a^{10}-9 z^6 a^{10}+9 z^4 a^{10}-z^2 a^{10}+3 z^9 a^9-11 z^7 a^9+15 z^5 a^9-3 z^3 a^9+z a^9+3 z^{10} a^8-16 z^8 a^8+37 z^6 a^8-37 z^4 a^8+22 z^2 a^8-5 a^8+z^{11} a^7-2 z^9 a^7-6 z^7 a^7+28 z^5 a^7-29 z^3 a^7+9 z a^7+4 z^{10} a^6-24 z^8 a^6+61 z^6 a^6-72 z^4 a^6+37 z^2 a^6-9 a^6+z^{11} a^5-5 z^9 a^5+11 z^7 a^5-8 z^5 a^5-7 z^3 a^5+5 z a^5+z^{10} a^4-5 z^8 a^4+14 z^6 a^4-25 z^4 a^4+17 z^2 a^4-4 a^4+3 z^7 a^3-11 z^5 a^3+8 z^3 a^3+z a^3+z^6 a^2-4 z^4 a^2+4 z^2 a^2-a^2 }[/math] |
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