K13n3616
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Polynomial invariants
| Jones polynomial | Data:K13n3616/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-13 t^2+29 t-37+29 t^{-1} -13 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3616/Conway Polynomial |
| Determinant | 127 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^{10}+a^{10}-3 z^4 a^8-7 z^2 a^8-4 a^8+2 z^6 a^6+7 z^4 a^6+9 z^2 a^6+3 a^6+z^6 a^4+2 z^4 a^4+2 z^2 a^4+a^4-z^4 a^2-z^2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^8 a^{12}-4 z^6 a^{12}+4 z^4 a^{12}-z^2 a^{12}+4 z^9 a^{11}-18 z^7 a^{11}+24 z^5 a^{11}-12 z^3 a^{11}+2 z a^{11}+6 z^{10} a^{10}-26 z^8 a^{10}+31 z^6 a^{10}-11 z^4 a^{10}+z^2 a^{10}-a^{10}+3 z^{11} a^9-2 z^9 a^9-35 z^7 a^9+66 z^5 a^9-40 z^3 a^9+9 z a^9+14 z^{10} a^8-60 z^8 a^8+77 z^6 a^8-42 z^4 a^8+15 z^2 a^8-4 a^8+3 z^{11} a^7+2 z^9 a^7-45 z^7 a^7+72 z^5 a^7-43 z^3 a^7+9 z a^7+8 z^{10} a^6-29 z^8 a^6+36 z^6 a^6-28 z^4 a^6+14 z^2 a^6-3 a^6+8 z^9 a^5-27 z^7 a^5+34 z^5 a^5-20 z^3 a^5+3 z a^5+4 z^8 a^4-6 z^6 a^4+3 z^4 a^4-z^2 a^4+a^4+z^7 a^3+4 z^5 a^3-4 z^3 a^3+z a^3+4 z^4 a^2-2 z^2 a^2+z^3 a }[/math] |
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