K13n2836
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Polynomial invariants
| Jones polynomial | Data:K13n2836/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-17 t^2+32 t-39+32 t^{-1} -17 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2836/Conway Polynomial |
| Determinant | 151 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^8+2 a^4 z^6-5 a^2 z^6+z^6-a^6 z^4+8 a^4 z^4-10 a^2 z^4+2 z^4-3 a^6 z^2+12 a^4 z^2-8 a^2 z^2+z^2 a^{-2} -3 a^6+6 a^4-2 a^2+ a^{-2} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+4 a^4 z^{10}+6 a^2 z^{10}+2 z^{10}+7 a^5 z^9+10 a^3 z^9+4 a z^9+z^9 a^{-1} +8 a^6 z^8+3 a^4 z^8-6 a^2 z^8-z^8+6 a^7 z^7-7 a^5 z^7-23 a^3 z^7-7 a z^7+3 z^7 a^{-1} +3 a^8 z^6-13 a^6 z^6-18 a^4 z^6-8 a^2 z^6+3 z^6 a^{-2} -3 z^6+a^9 z^5-9 a^7 z^5-a^5 z^5+13 a^3 z^5-11 a z^5-15 z^5 a^{-1} -4 a^8 z^4+13 a^6 z^4+24 a^4 z^4+9 a^2 z^4-8 z^4 a^{-2} -6 z^4-2 a^9 z^3+6 a^7 z^3+8 a^5 z^3+4 a^3 z^3+17 a z^3+13 z^3 a^{-1} +a^8 z^2-9 a^6 z^2-17 a^4 z^2-4 a^2 z^2+5 z^2 a^{-2} +8 z^2+a^9 z-2 a^7 z-5 a^5 z-5 a^3 z-6 a z-3 z a^{-1} +3 a^6+6 a^4+2 a^2- a^{-2} -1 }[/math] |
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