K13n2512
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Polynomial invariants
| Jones polynomial | Data:K13n2512/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-4 t^4+9 t^3-15 t^2+21 t-23+21 t^{-1} -15 t^{-2} +9 t^{-3} -4 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n2512/Conway Polynomial |
| Determinant | 123 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-2} +8 z^8 a^{-2} -z^8 a^{-4} -z^8+25 z^6 a^{-2} -7 z^6 a^{-4} -6 z^6+39 z^4 a^{-2} -18 z^4 a^{-4} +z^4 a^{-6} -13 z^4+32 z^2 a^{-2} -20 z^2 a^{-4} +3 z^2 a^{-6} -12 z^2+12 a^{-2} -9 a^{-4} +2 a^{-6} -4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +10 z^{10} a^{-2} +5 z^{10} a^{-4} +5 z^{10}+5 a z^9+z^9 a^{-1} +z^9 a^{-3} +5 z^9 a^{-5} +3 a^2 z^8-43 z^8 a^{-2} -19 z^8 a^{-4} +2 z^8 a^{-6} -19 z^8+a^3 z^7-19 a z^7-24 z^7 a^{-1} -24 z^7 a^{-3} -20 z^7 a^{-5} -11 a^2 z^6+80 z^6 a^{-2} +34 z^6 a^{-4} -4 z^6 a^{-6} +31 z^6-4 a^3 z^5+24 a z^5+47 z^5 a^{-1} +54 z^5 a^{-3} +39 z^5 a^{-5} +4 z^5 a^{-7} +10 a^2 z^4-82 z^4 a^{-2} -29 z^4 a^{-4} +7 z^4 a^{-6} +z^4 a^{-8} -37 z^4+4 a^3 z^3-17 a z^3-45 z^3 a^{-1} -45 z^3 a^{-3} -28 z^3 a^{-5} -7 z^3 a^{-7} -a^2 z^2+44 z^2 a^{-2} +24 z^2 a^{-4} -2 z^2 a^{-6} -2 z^2 a^{-8} +19 z^2+5 a z+13 z a^{-1} +16 z a^{-3} +10 z a^{-5} +2 z a^{-7} -12 a^{-2} -9 a^{-4} -2 a^{-6} -4 }[/math] |
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