K13n2143
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Polynomial invariants
| Jones polynomial | Data:K13n2143/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+20 t^2-43 t+57-43 t^{-1} +20 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2143/Conway Polynomial |
| Determinant | 197 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-2 a^2 z^6-z^6 a^{-2} +5 z^6+a^4 z^4-7 a^2 z^4-2 z^4 a^{-2} +12 z^4+2 a^4 z^2-11 a^2 z^2-3 z^2 a^{-2} -z^2 a^{-4} +12 z^2+2 a^4-5 a^2- a^{-2} +5 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +5 a^2 z^{10}+3 z^{10} a^{-2} +8 z^{10}+9 a^3 z^9+20 a z^9+14 z^9 a^{-1} +3 z^9 a^{-3} +8 a^4 z^8+11 a^2 z^8+8 z^8 a^{-2} +z^8 a^{-4} +10 z^8+4 a^5 z^7-12 a^3 z^7-42 a z^7-22 z^7 a^{-1} +4 z^7 a^{-3} +a^6 z^6-16 a^4 z^6-47 a^2 z^6-21 z^6 a^{-2} +6 z^6 a^{-4} -57 z^6-8 a^5 z^5+24 a z^5+2 z^5 a^{-1} -11 z^5 a^{-3} +3 z^5 a^{-5} -2 a^6 z^4+12 a^4 z^4+51 a^2 z^4+17 z^4 a^{-2} -11 z^4 a^{-4} +65 z^4+5 a^5 z^3+3 a^3 z^3-2 a z^3+11 z^3 a^{-1} +7 z^3 a^{-3} -4 z^3 a^{-5} +a^6 z^2-6 a^4 z^2-27 a^2 z^2-6 z^2 a^{-2} +4 z^2 a^{-4} -30 z^2-a^5 z-a^3 z-2 a z-4 z a^{-1} -2 z a^{-3} +2 a^4+5 a^2+ a^{-2} +5 }[/math] |
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