K13n3724
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Polynomial invariants
| Jones polynomial | Data:K13n3724/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-19 t^2+33 t-39+33 t^{-1} -19 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3724/Conway Polynomial |
| Determinant | 159 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^4 z^8+a^6 z^6-4 a^4 z^6+2 a^2 z^6+2 a^6 z^4-5 a^4 z^4+7 a^2 z^4-z^4-2 a^4 z^2+9 a^2 z^2-3 z^2-a^6-a^4+5 a^2-2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+7 a^6 z^{10}+10 a^4 z^{10}+3 a^2 z^{10}+11 a^7 z^9+8 a^5 z^9-2 a^3 z^9+a z^9+10 a^8 z^8-10 a^6 z^8-32 a^4 z^8-12 a^2 z^8+5 a^9 z^7-23 a^7 z^7-29 a^5 z^7-2 a^3 z^7-a z^7+a^{10} z^6-21 a^8 z^6+2 a^6 z^6+53 a^4 z^6+32 a^2 z^6+3 z^6-9 a^9 z^5+10 a^7 z^5+34 a^5 z^5+20 a^3 z^5+6 a z^5+z^5 a^{-1} -a^{10} z^4+7 a^8 z^4-5 a^6 z^4-37 a^4 z^4-31 a^2 z^4-7 z^4+2 a^9 z^3-3 a^7 z^3-16 a^5 z^3-18 a^3 z^3-10 a z^3-3 z^3 a^{-1} +a^8 z^2+2 a^6 z^2+11 a^4 z^2+15 a^2 z^2+5 z^2+a^9 z+2 a^5 z+6 a^3 z+5 a z+2 z a^{-1} +a^6-a^4-5 a^2-2 }[/math] |
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