K13n3447
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Polynomial invariants
| Jones polynomial | Data:K13n3447/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-12 t^2+34 t-47+34 t^{-1} -12 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3447/Conway Polynomial |
| Determinant | 143 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^{10}-2 z^4 a^8-2 z^2 a^8-a^8+z^6 a^6+z^4 a^6+z^2 a^6+z^6 a^4+2 z^4 a^4+4 z^2 a^4+2 a^4-z^4 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^8 a^{12}-4 z^6 a^{12}+5 z^4 a^{12}-2 z^2 a^{12}+4 z^9 a^{11}-18 z^7 a^{11}+26 z^5 a^{11}-13 z^3 a^{11}+z a^{11}+5 z^{10} a^{10}-18 z^8 a^{10}+14 z^6 a^{10}+4 z^4 a^{10}-4 z^2 a^{10}+2 z^{11} a^9+6 z^9 a^9-50 z^7 a^9+74 z^5 a^9-39 z^3 a^9+8 z a^9+12 z^{10} a^8-39 z^8 a^8+26 z^6 a^8+2 z^4 a^8-z^2 a^8-a^8+2 z^{11} a^7+12 z^9 a^7-64 z^7 a^7+81 z^5 a^7-45 z^3 a^7+10 z a^7+7 z^{10} a^6-13 z^8 a^6-8 z^6 a^6+18 z^4 a^6-8 z^2 a^6+10 z^9 a^5-30 z^7 a^5+36 z^5 a^5-22 z^3 a^5+4 z a^5+7 z^8 a^4-16 z^6 a^4+20 z^4 a^4-11 z^2 a^4+2 a^4+2 z^7 a^3+3 z^5 a^3-2 z^3 a^3+z a^3+5 z^4 a^2-2 z^2 a^2+z^3 a }[/math] |
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