K13n114
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Polynomial invariants
| Jones polynomial | Data:K13n114/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+8 t^3-26 t^2+47 t-55+47 t^{-1} -26 t^{-2} +8 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n114/Conway Polynomial |
| Determinant | 219 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^8-z^4 a^6-4 z^2 a^6-3 a^6+2 z^6 a^4+7 z^4 a^4+9 z^2 a^4+4 a^4-z^8 a^2-4 z^6 a^2-8 z^4 a^2-9 z^2 a^2-3 a^2+2 z^6+5 z^4+4 z^2+2-z^4 a^{-2} -z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a^3 z^{11}+3 a z^{11}+10 a^4 z^{10}+19 a^2 z^{10}+9 z^{10}+12 a^5 z^9+22 a^3 z^9+20 a z^9+10 z^9 a^{-1} +6 a^6 z^8-14 a^4 z^8-37 a^2 z^8+5 z^8 a^{-2} -12 z^8+a^7 z^7-32 a^5 z^7-85 a^3 z^7-80 a z^7-27 z^7 a^{-1} +z^7 a^{-3} -8 a^6 z^6-6 a^4 z^6-6 a^2 z^6-13 z^6 a^{-2} -21 z^6+7 a^7 z^5+54 a^5 z^5+104 a^3 z^5+79 a z^5+20 z^5 a^{-1} -2 z^5 a^{-3} +3 a^8 z^4+17 a^6 z^4+34 a^4 z^4+40 a^2 z^4+10 z^4 a^{-2} +30 z^4-10 a^7 z^3-38 a^5 z^3-53 a^3 z^3-32 a z^3-6 z^3 a^{-1} +z^3 a^{-3} -4 a^8 z^2-14 a^6 z^2-24 a^4 z^2-23 a^2 z^2-3 z^2 a^{-2} -12 z^2+4 a^7 z+10 a^5 z+10 a^3 z+5 a z+z a^{-1} +a^8+3 a^6+4 a^4+3 a^2+2 }[/math] |
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