K13n4302
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Polynomial invariants
| Jones polynomial | Data:K13n4302/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+5 t^4-12 t^3+21 t^2-29 t+33-29 t^{-1} +21 t^{-2} -12 t^{-3} +5 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13n4302/Conway Polynomial |
| Determinant | 169 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10}+a^2 z^8+z^8 a^{-2} -7 z^8+5 a^2 z^6+6 z^6 a^{-2} -18 z^6+8 a^2 z^4+13 z^4 a^{-2} -z^4 a^{-4} -21 z^4+4 a^2 z^2+12 z^2 a^{-2} -3 z^2 a^{-4} -11 z^2+4 a^{-2} -2 a^{-4} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a z^{11}+3 z^{11} a^{-1} +7 a^2 z^{10}+7 z^{10} a^{-2} +14 z^{10}+8 a^3 z^9+3 a z^9+5 z^9 a^{-3} +7 a^4 z^8-14 a^2 z^8-28 z^8 a^{-2} +z^8 a^{-4} -50 z^8+4 a^5 z^7-14 a^3 z^7-24 a z^7-22 z^7 a^{-1} -16 z^7 a^{-3} +a^6 z^6-14 a^4 z^6+12 a^2 z^6+57 z^6 a^{-2} +4 z^6 a^{-4} +80 z^6-9 a^5 z^5+a^3 z^5+37 a z^5+53 z^5 a^{-1} +29 z^5 a^{-3} +3 z^5 a^{-5} -2 a^6 z^4+4 a^4 z^4-10 a^2 z^4-52 z^4 a^{-2} -14 z^4 a^{-4} -54 z^4+5 a^5 z^3+3 a^3 z^3-18 a z^3-37 z^3 a^{-1} -29 z^3 a^{-3} -8 z^3 a^{-5} +a^6 z^2+4 a^2 z^2+21 z^2 a^{-2} +8 z^2 a^{-4} +18 z^2-a^5 z-2 a^3 z+2 a z+8 z a^{-1} +9 z a^{-3} +4 z a^{-5} -4 a^{-2} -2 a^{-4} -1 }[/math] |
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