K13n1873
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Polynomial invariants
| Jones polynomial | Data:K13n1873/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^2+10 t-13+10 t^{-1} -3 t^{-2} }[/math] |
| Conway polynomial | Data:K13n1873/Conway Polynomial |
| Determinant | 39 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} +z^6-2 a^2 z^4-6 z^4 a^{-2} +z^4 a^{-4} +4 z^4+a^4 z^2-4 a^2 z^2-8 z^2 a^{-2} +3 z^2 a^{-4} +6 z^2+a^4-2 a^2-2 a^{-2} + a^{-4} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +3 a^2 z^{10}+2 z^{10} a^{-2} +5 z^{10}+3 a^3 z^9+2 a z^9+z^9 a^{-3} +a^4 z^8-12 a^2 z^8-10 z^8 a^{-2} +z^8 a^{-4} -24 z^8-15 a^3 z^7-31 a z^7-25 z^7 a^{-1} -7 z^7 a^{-3} +2 z^7 a^{-5} -5 a^4 z^6+5 a^2 z^6+3 z^6 a^{-2} -7 z^6 a^{-4} +z^6 a^{-6} +21 z^6+22 a^3 z^5+53 a z^5+47 z^5 a^{-1} +6 z^5 a^{-3} -10 z^5 a^{-5} +8 a^4 z^4+12 a^2 z^4+17 z^4 a^{-2} +7 z^4 a^{-4} -4 z^4 a^{-6} +10 z^4-13 a^3 z^3-30 a z^3-25 z^3 a^{-1} +8 z^3 a^{-5} -5 a^4 z^2-10 a^2 z^2-14 z^2 a^{-2} -4 z^2 a^{-4} +2 z^2 a^{-6} -13 z^2+3 a^3 z+6 a z+4 z a^{-1} -z a^{-5} +a^4+2 a^2+2 a^{-2} + a^{-4} +3 }[/math] |
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