K13n2632
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Polynomial invariants
| Jones polynomial | Data:K13n2632/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-7 t^2+16 t-19+16 t^{-1} -7 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n2632/Conway Polynomial |
| Determinant | 67 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6-2 a^2 z^4-2 z^4 a^{-2} +3 z^4+a^4 z^2-4 a^2 z^2-4 z^2 a^{-2} +z^2 a^{-4} +3 z^2+a^4-a^2- a^{-2} + a^{-4} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +4 a^2 z^{10}+4 z^{10} a^{-2} +8 z^{10}+3 a^3 z^9-4 a z^9-4 z^9 a^{-1} +3 z^9 a^{-3} +a^4 z^8-19 a^2 z^8-19 z^8 a^{-2} +z^8 a^{-4} -40 z^8-15 a^3 z^7-17 a z^7-17 z^7 a^{-1} -15 z^7 a^{-3} -5 a^4 z^6+22 a^2 z^6+22 z^6 a^{-2} -5 z^6 a^{-4} +54 z^6+21 a^3 z^5+38 a z^5+38 z^5 a^{-1} +21 z^5 a^{-3} +7 a^4 z^4-4 a^2 z^4-4 z^4 a^{-2} +7 z^4 a^{-4} -22 z^4-11 a^3 z^3-22 a z^3-22 z^3 a^{-1} -11 z^3 a^{-3} -4 a^4 z^2-4 a^2 z^2-4 z^2 a^{-2} -4 z^2 a^{-4} +2 a^3 z+3 a z+3 z a^{-1} +2 z a^{-3} +a^4+a^2+ a^{-2} + a^{-4} +1 }[/math] |
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