K13n3906
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Polynomial invariants
| Jones polynomial | Data:K13n3906/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+4 t^4-7 t^3+8 t^2-6 t+5-6 t^{-1} +8 t^{-2} -7 t^{-3} +4 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13n3906/Conway Polynomial |
| Determinant | 57 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^4 z^{10}+a^6 z^8-8 a^4 z^8+a^2 z^8+7 a^6 z^6-23 a^4 z^6+6 a^2 z^6-a^8 z^4+16 a^6 z^4-30 a^4 z^4+11 a^2 z^4-3 a^8 z^2+15 a^6 z^2-18 a^4 z^2+8 a^2 z^2-2 a^8+5 a^6-5 a^4+3 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^3 a^{11}-z a^{11}+2 z^4 a^{10}-2 z^2 a^{10}+2 z^5 a^9-z^3 a^9+3 z^6 a^8-7 z^4 a^8+7 z^2 a^8-2 a^8+z^9 a^7-3 z^7 a^7+3 z^5 a^7-2 z^3 a^7+z a^7+3 z^{10} a^6-19 z^8 a^6+47 z^6 a^6-58 z^4 a^6+30 z^2 a^6-5 a^6+2 z^{11} a^5-10 z^9 a^5+15 z^7 a^5-9 z^5 a^5-z^3 a^5+z a^5+7 z^{10} a^4-43 z^8 a^4+90 z^6 a^4-86 z^4 a^4+35 z^2 a^4-5 a^4+2 z^{11} a^3-8 z^9 a^3+2 z^7 a^3+13 z^5 a^3-10 z^3 a^3+2 z a^3+4 z^{10} a^2-23 z^8 a^2+41 z^6 a^2-31 z^4 a^2+13 z^2 a^2-3 a^2+3 z^9 a-16 z^7 a+23 z^5 a-9 z^3 a+z a+z^8-5 z^6+6 z^4-z^2 }[/math] |
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