K13n4529
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Polynomial invariants
| Jones polynomial | Data:K13n4529/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+11 t^2-24 t+31-24 t^{-1} +11 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n4529/Conway Polynomial |
| Determinant | 105 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{10}+2 z^2 a^{10}+2 a^{10}-z^6 a^8-3 z^4 a^8-6 z^2 a^8-5 a^8-z^6 a^6-z^4 a^6+2 z^2 a^6+2 a^6+2 z^4 a^4+4 z^2 a^4+2 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^6 a^{14}-3 z^4 a^{14}+z^2 a^{14}+3 z^7 a^{13}-8 z^5 a^{13}+2 z^3 a^{13}+6 z^8 a^{12}-19 z^6 a^{12}+16 z^4 a^{12}-6 z^2 a^{12}+8 z^9 a^{11}-31 z^7 a^{11}+44 z^5 a^{11}-30 z^3 a^{11}+8 z a^{11}+5 z^{10} a^{10}-15 z^8 a^{10}+12 z^6 a^{10}+4 z^4 a^{10}-3 z^2 a^{10}-2 a^{10}+z^{11} a^9+7 z^9 a^9-41 z^7 a^9+78 z^5 a^9-58 z^3 a^9+18 z a^9+6 z^{10} a^8-25 z^8 a^8+45 z^6 a^8-30 z^4 a^8+12 z^2 a^8-5 a^8+z^{11} a^7-z^9 a^7-6 z^7 a^7+28 z^5 a^7-30 z^3 a^7+10 z a^7+z^{10} a^6-4 z^8 a^6+13 z^6 a^6-13 z^4 a^6+4 z^2 a^6-2 a^6+z^7 a^5+2 z^5 a^5-4 z^3 a^5+2 z^4 a^4-4 z^2 a^4+2 a^4 }[/math] |
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