K13n3613
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Polynomial invariants
| Jones polynomial | Data:K13n3613/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+10 t^3-21 t^2+29 t-31+29 t^{-1} -21 t^{-2} +10 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n3613/Conway Polynomial |
| Determinant | 155 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -z^8+a^2 z^6-4 z^6 a^{-2} +z^6 a^{-4} -4 z^6+3 a^2 z^4-4 z^4 a^{-2} +4 z^4 a^{-4} -4 z^4+a^2 z^2-z^2 a^{-2} +4 z^2 a^{-4} -z^2 a^{-6} -a^2+ a^{-4} - a^{-6} +2 }[/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+5 z^9 a^{-1} +11 z^9 a^{-3} +a^4 z^8-26 a^2 z^8-15 z^8 a^{-2} +10 z^8 a^{-4} -52 z^8-18 a^3 z^7-26 a z^7-38 z^7 a^{-1} -25 z^7 a^{-3} +5 z^7 a^{-5} -4 a^4 z^6+36 a^2 z^6-z^6 a^{-2} -21 z^6 a^{-4} +z^6 a^{-6} +61 z^6+25 a^3 z^5+44 a z^5+40 z^5 a^{-1} +18 z^5 a^{-3} -3 z^5 a^{-5} +4 a^4 z^4-19 a^2 z^4+5 z^4 a^{-2} +21 z^4 a^{-4} +6 z^4 a^{-6} -33 z^4-10 a^3 z^3-21 a z^3-20 z^3 a^{-1} -8 z^3 a^{-3} +4 z^3 a^{-5} +3 z^3 a^{-7} +4 a^2 z^2-3 z^2 a^{-2} -8 z^2 a^{-4} -4 z^2 a^{-6} +5 z^2+2 a z+4 z a^{-1} +3 z a^{-3} -z a^{-5} -2 z a^{-7} +a^2+ a^{-4} + a^{-6} +2 }[/math] |
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