K13n4043
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Polynomial invariants
| Jones polynomial | Data:K13n4043/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-7 t^2+23 t-33+23 t^{-1} -7 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n4043/Conway Polynomial |
| Determinant | 95 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^{10}-2 z^4 a^8-3 z^2 a^8-2 a^8+z^6 a^6+3 z^4 a^6+6 z^2 a^6+3 a^6-2 z^4 a^4-2 z^2 a^4-a^4+2 z^2 a^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}-19 z^7 a^{11}+26 z^5 a^{11}-10 z^3 a^{11}-z a^{11}+5 z^{10} a^{10}-22 z^8 a^{10}+25 z^6 a^{10}-6 z^4 a^{10}+2 z^{11} a^9-30 z^7 a^9+49 z^5 a^9-21 z^3 a^9+2 z a^9+9 z^{10} a^8-39 z^8 a^8+50 z^6 a^8-30 z^4 a^8+12 z^2 a^8-2 a^8+2 z^{11} a^7-2 z^9 a^7-14 z^7 a^7+20 z^5 a^7-11 z^3 a^7+2 z a^7+4 z^{10} a^6-16 z^8 a^6+26 z^6 a^6-29 z^4 a^6+14 z^2 a^6-3 a^6+2 z^9 a^5-3 z^7 a^5-2 z^5 a^5+3 z^3 a^5-2 z a^5+5 z^6 a^4-9 z^4 a^4+6 z^2 a^4-a^4+z^5 a^3+3 z^3 a^3-z a^3+3 z^2 a^2-a^2 }[/math] |
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