K13n4117
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Polynomial invariants
| Jones polynomial | Data:K13n4117/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-18 t^2+36 t-45+36 t^{-1} -18 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4117/Conway Polynomial |
| Determinant | 167 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^8-2 z^2 a^8-2 a^8+2 z^6 a^6+7 z^4 a^6+10 z^2 a^6+5 a^6-z^8 a^4-5 z^6 a^4-11 z^4 a^4-11 z^2 a^4-5 a^4+z^6 a^2+3 z^4 a^2+5 z^2 a^2+3 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-3 z^5 a^{11}+2 z^3 a^{11}+4 z^8 a^{10}-12 z^6 a^{10}+9 z^4 a^{10}-2 z^2 a^{10}+8 z^9 a^9-26 z^7 a^9+26 z^5 a^9-15 z^3 a^9+5 z a^9+8 z^{10} a^8-22 z^8 a^8+15 z^6 a^8-9 z^4 a^8+6 z^2 a^8-2 a^8+3 z^{11} a^7+7 z^9 a^7-49 z^7 a^7+67 z^5 a^7-43 z^3 a^7+10 z a^7+15 z^{10} a^6-49 z^8 a^6+61 z^6 a^6-45 z^4 a^6+21 z^2 a^6-5 a^6+3 z^{11} a^5+4 z^9 a^5-34 z^7 a^5+57 z^5 a^5-37 z^3 a^5+8 z a^5+7 z^{10} a^4-22 z^8 a^4+39 z^6 a^4-34 z^4 a^4+20 z^2 a^4-5 a^4+5 z^9 a^3-12 z^7 a^3+23 z^5 a^3-15 z^3 a^3+4 z a^3+z^8 a^2+5 z^6 a^2-6 z^4 a^2+6 z^2 a^2-3 a^2+4 z^5 a-4 z^3 a+z a+z^4-z^2 }[/math] |
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