K13n3599
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Polynomial invariants
| Jones polynomial | Data:K13n3599/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-16 t^2+27 t-31+27 t^{-1} -16 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3599/Conway Polynomial |
| Determinant | 131 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+a^2 z^6+2 z^6 a^{-2} -5 z^6+3 a^2 z^4+7 z^4 a^{-2} -z^4 a^{-4} -9 z^4+2 a^2 z^2+7 z^2 a^{-2} -2 z^2 a^{-4} -6 z^2+2 a^{-2} - a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a z^{11}+3 z^{11} a^{-1} +6 a^2 z^{10}+8 z^{10} a^{-2} +14 z^{10}+4 a^3 z^9-2 a z^9+2 z^9 a^{-1} +8 z^9 a^{-3} +a^4 z^8-26 a^2 z^8-28 z^8 a^{-2} +4 z^8 a^{-4} -59 z^8-18 a^3 z^7-33 a z^7-41 z^7 a^{-1} -25 z^7 a^{-3} +z^7 a^{-5} -4 a^4 z^6+32 a^2 z^6+36 z^6 a^{-2} -4 z^6 a^{-4} +76 z^6+24 a^3 z^5+59 a z^5+61 z^5 a^{-1} +31 z^5 a^{-3} +5 z^5 a^{-5} +4 a^4 z^4-13 a^2 z^4-30 z^4 a^{-2} -z^4 a^{-4} +4 z^4 a^{-6} -42 z^4-11 a^3 z^3-30 a z^3-34 z^3 a^{-1} -21 z^3 a^{-3} -5 z^3 a^{-5} +z^3 a^{-7} -a^4 z^2+2 a^2 z^2+12 z^2 a^{-2} +3 z^2 a^{-4} -z^2 a^{-6} +11 z^2+a^3 z+4 a z+6 z a^{-1} +5 z a^{-3} +2 z a^{-5} -2 a^{-2} - a^{-4} }[/math] |
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