K13n4240
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Polynomial invariants
| Jones polynomial | Data:K13n4240/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+19 t^2-34 t+43-34 t^{-1} +19 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4240/Conway Polynomial |
| Determinant | 165 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-2 a^2 z^6-z^6 a^{-2} +4 z^6+a^4 z^4-7 a^2 z^4-2 z^4 a^{-2} +5 z^4+3 a^4 z^2-8 a^2 z^2-z^2 a^{-2} +z^2+2 a^4-2 a^2+ a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +6 a^2 z^{10}+4 z^{10} a^{-2} +10 z^{10}+8 a^3 z^9+8 a z^9+2 z^9 a^{-1} +2 z^9 a^{-3} +6 a^4 z^8-9 a^2 z^8-9 z^8 a^{-2} -24 z^8+3 a^5 z^7-21 a^3 z^7-29 a z^7-3 z^7 a^{-1} +2 z^7 a^{-3} +a^6 z^6-15 a^4 z^6-a^2 z^6+22 z^6 a^{-2} +6 z^6 a^{-4} +31 z^6-7 a^5 z^5+25 a^3 z^5+34 a z^5-3 z^5 a^{-1} -4 z^5 a^{-3} +z^5 a^{-5} -3 a^6 z^4+14 a^4 z^4+14 a^2 z^4-25 z^4 a^{-2} -7 z^4 a^{-4} -21 z^4+3 a^5 z^3-16 a^3 z^3-11 a z^3+8 z^3 a^{-1} -z^3 a^{-3} -z^3 a^{-5} +2 a^6 z^2-9 a^4 z^2-12 a^2 z^2+7 z^2 a^{-2} -2 z^2 a^{-4} +8 z^2+2 a^3 z-a z-3 z a^{-1} +2 a^4+2 a^2+ a^{-4} }[/math] |
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