K13n1682
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Polynomial invariants
| Jones polynomial | Data:K13n1682/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+14 t^2-33 t+43-33 t^{-1} +14 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1682/Conway Polynomial |
| Determinant | 141 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^2 a^{10}-a^{10}+3 z^4 a^8+4 z^2 a^8-z^6 a^6+3 z^2 a^6+2 a^6-z^6 a^4-2 z^4 a^4-2 z^2 a^4-a^4+z^4 a^2+2 z^2 a^2+a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^5 a^{13}-6 z^3 a^{13}+2 z a^{13}+z^8 a^{12}+4 z^6 a^{12}-12 z^4 a^{12}+5 z^2 a^{12}+3 z^9 a^{11}-4 z^7 a^{11}+3 z^5 a^{11}-4 z^3 a^{11}+z a^{11}+3 z^{10} a^{10}-5 z^8 a^{10}+10 z^6 a^{10}-11 z^4 a^{10}+2 z^2 a^{10}+a^{10}+z^{11} a^9+5 z^9 a^9-12 z^7 a^9+12 z^5 a^9-3 z^3 a^9+z a^9+6 z^{10} a^8-11 z^8 a^8+12 z^6 a^8-5 z^4 a^8+z^2 a^8+z^{11} a^7+6 z^9 a^7-14 z^7 a^7+13 z^5 a^7-5 z^3 a^7+z a^7+3 z^{10} a^6-z^8 a^6-z^6 a^6-6 z^4 a^6+6 z^2 a^6-2 a^6+4 z^9 a^5-3 z^7 a^5-7 z^5 a^5+6 z^3 a^5-2 z a^5+4 z^8 a^4-6 z^6 a^4-3 z^4 a^4+5 z^2 a^4-a^4+3 z^7 a^3-8 z^5 a^3+6 z^3 a^3-z a^3+z^6 a^2-3 z^4 a^2+3 z^2 a^2-a^2 }[/math] |
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