K13n4239
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Polynomial invariants
| Jones polynomial | Data:K13n4239/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+23 t^2-48 t+63-48 t^{-1} +23 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4239/Conway Polynomial |
| Determinant | 221 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-2 a^2 z^6-z^6 a^{-2} +4 z^6+a^4 z^4-6 a^2 z^4-z^4 a^{-2} +7 z^4+2 a^4 z^2-8 a^2 z^2-z^2 a^{-4} +4 z^2+2 a^4-3 a^2+ a^{-2} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a z^{11}+3 z^{11} a^{-1} +9 a^2 z^{10}+7 z^{10} a^{-2} +16 z^{10}+12 a^3 z^9+16 a z^9+9 z^9 a^{-1} +5 z^9 a^{-3} +9 a^4 z^8-6 a^2 z^8-12 z^8 a^{-2} +z^8 a^{-4} -28 z^8+4 a^5 z^7-23 a^3 z^7-45 a z^7-21 z^7 a^{-1} -3 z^7 a^{-3} +a^6 z^6-18 a^4 z^6-15 a^2 z^6+23 z^6 a^{-2} +8 z^6 a^{-4} +19 z^6-7 a^5 z^5+18 a^3 z^5+40 a z^5+12 z^5 a^{-1} +3 z^5 a^{-5} -2 a^6 z^4+14 a^4 z^4+21 a^2 z^4-28 z^4 a^{-2} -15 z^4 a^{-4} -8 z^4+3 a^5 z^3-11 a^3 z^3-17 a z^3+z^3 a^{-1} -4 z^3 a^{-5} +a^6 z^2-7 a^4 z^2-14 a^2 z^2+13 z^2 a^{-2} +6 z^2 a^{-4} +z^2+3 a^3 z+2 a z-2 z a^{-1} -z a^{-3} +2 a^4+3 a^2- a^{-2} +1 }[/math] |
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