K13n1182
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Polynomial invariants
| Jones polynomial | Data:K13n1182/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-3 t^4+5 t^3-2 t^2-5 t+9-5 t^{-1} -2 t^{-2} +5 t^{-3} -3 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n1182/Conway Polynomial |
| Determinant | 3 |
| Signature | -6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{10}+2 z^2 a^{10}+2 a^{10}-z^8 a^8-8 z^6 a^8-21 z^4 a^8-25 z^2 a^8-12 a^8+z^{10} a^6+9 z^8 a^6+31 z^6 a^6+54 z^4 a^6+47 z^2 a^6+16 a^6-z^8 a^4-7 z^6 a^4-16 z^4 a^4-15 z^2 a^4-5 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^5 a^{13}-3 z^3 a^{13}+2 z a^{13}+2 z^6 a^{12}-6 z^4 a^{12}+2 z^2 a^{12}+z^7 a^{11}-2 z^5 a^{11}-3 z^3 a^{11}+z a^{11}+z^6 a^{10}-6 z^4 a^{10}+4 z^2 a^{10}-2 a^{10}+2 z^9 a^9-15 z^7 a^9+32 z^5 a^9-29 z^3 a^9+11 z a^9+3 z^{10} a^8-22 z^8 a^8+50 z^6 a^8-55 z^4 a^8+39 z^2 a^8-12 a^8+z^{11} a^7-2 z^9 a^7-22 z^7 a^7+69 z^5 a^7-65 z^3 a^7+23 z a^7+5 z^{10} a^6-36 z^8 a^6+83 z^6 a^6-87 z^4 a^6+53 z^2 a^6-16 a^6+z^{11} a^5-3 z^9 a^5-13 z^7 a^5+50 z^5 a^5-51 z^3 a^5+16 z a^5+2 z^{10} a^4-14 z^8 a^4+32 z^6 a^4-32 z^4 a^4+16 z^2 a^4-5 a^4+z^9 a^3-7 z^7 a^3+16 z^5 a^3-15 z^3 a^3+5 z a^3 }[/math] |
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