K13a1042
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Polynomial invariants
| Jones polynomial | Data:K13a1042/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -4 t^3+22 t^2-54 t+73-54 t^{-1} +22 t^{-2} -4 t^{-3} }[/math] |
| Conway polynomial | Data:K13a1042/Conway Polynomial |
| Determinant | 233 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6-a^6+2 z^4 a^4+3 z^2 a^4+2 a^4-z^6 a^2+z^2 a^2+a^2-2 z^6-4 z^4-5 z^2-2-z^6 a^{-2} -z^4 a^{-2} -z^2 a^{-2} +z^4 a^{-4} +z^2 a^{-4} + a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{12}+z^{12}+3 a^3 z^{11}+8 a z^{11}+5 z^{11} a^{-1} +4 a^4 z^{10}+9 a^2 z^{10}+10 z^{10} a^{-2} +15 z^{10}+4 a^5 z^9-a^3 z^9-16 a z^9+z^9 a^{-1} +12 z^9 a^{-3} +3 a^6 z^8-5 a^4 z^8-32 a^2 z^8-22 z^8 a^{-2} +9 z^8 a^{-4} -55 z^8+a^7 z^7-9 a^5 z^7-5 a^3 z^7+12 a z^7-30 z^7 a^{-1} -33 z^7 a^{-3} +4 z^7 a^{-5} -11 a^6 z^6-8 a^4 z^6+52 a^2 z^6+14 z^6 a^{-2} -23 z^6 a^{-4} +z^6 a^{-6} +87 z^6-4 a^7 z^5-a^5 z^5-4 a^3 z^5+3 a z^5+51 z^5 a^{-1} +33 z^5 a^{-3} -8 z^5 a^{-5} +13 a^6 z^4+11 a^4 z^4-49 a^2 z^4+4 z^4 a^{-2} +17 z^4 a^{-4} -2 z^4 a^{-6} -62 z^4+5 a^7 z^3+10 a^5 z^3+7 a^3 z^3-6 a z^3-24 z^3 a^{-1} -15 z^3 a^{-3} +z^3 a^{-5} -6 a^6 z^2-5 a^4 z^2+17 a^2 z^2-2 z^2 a^{-2} -7 z^2 a^{-4} +21 z^2-2 a^7 z-4 a^5 z-3 a^3 z-a z+3 z a^{-1} +3 z a^{-3} +a^6+2 a^4-a^2+ a^{-4} -2 }[/math] |
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