K13n1429
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Polynomial invariants
| Jones polynomial | Data:K13n1429/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+4 t^3-7 t^2+12 t-15+12 t^{-1} -7 t^{-2} +4 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1429/Conway Polynomial |
| Determinant | 63 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^8-4 z^2 a^8-4 a^8+2 z^6 a^6+11 z^4 a^6+19 z^2 a^6+9 a^6-z^8 a^4-7 z^6 a^4-18 z^4 a^4-19 z^2 a^4-7 a^4+z^6 a^2+5 z^4 a^2+8 z^2 a^2+3 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-5 z^5 a^{11}+7 z^3 a^{11}-3 z a^{11}+2 z^8 a^{10}-9 z^6 a^{10}+10 z^4 a^{10}-2 z^2 a^{10}+2 z^9 a^9-7 z^7 a^9+3 z^5 a^9+3 z^3 a^9+2 z^{10} a^8-9 z^8 a^8+16 z^6 a^8-21 z^4 a^8+15 z^2 a^8-4 a^8+z^{11} a^7-3 z^9 a^7+10 z^5 a^7-17 z^3 a^7+6 z a^7+4 z^{10} a^6-24 z^8 a^6+60 z^6 a^6-71 z^4 a^6+37 z^2 a^6-9 a^6+z^{11} a^5-4 z^9 a^5+4 z^7 a^5+10 z^5 a^5-17 z^3 a^5+6 z a^5+2 z^{10} a^4-13 z^8 a^4+38 z^6 a^4-48 z^4 a^4+30 z^2 a^4-7 a^4+z^9 a^3-4 z^7 a^3+10 z^5 a^3-8 z^3 a^3+5 z a^3+3 z^6 a^2-7 z^4 a^2+8 z^2 a^2-3 a^2+2 z^5 a-4 z^3 a+2 z a+z^4-2 z^2 }[/math] |
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