K13n172
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Polynomial invariants
| Jones polynomial | Data:K13n172/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+5 t^2-11 t+15-11 t^{-1} +5 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n172/Conway Polynomial |
| Determinant | 49 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6-a^6+2 z^4 a^4+4 z^2 a^4+2 a^4-z^6 a^2-3 z^4 a^2-3 z^2 a^2-a^2+z^4+2 z^2+2-z^4 a^{-2} -3 z^2 a^{-2} -2 a^{-2} +z^2 a^{-4} + a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+3 a^4 z^{10}+5 a^2 z^{10}+z^{10} a^{-2} +3 z^{10}+4 a^5 z^9+2 a^3 z^9+4 z^9 a^{-1} +2 z^9 a^{-3} +3 a^6 z^8-9 a^4 z^8-25 a^2 z^8-5 z^8 a^{-2} +z^8 a^{-4} -19 z^8+a^7 z^7-15 a^5 z^7-27 a^3 z^7-29 a z^7-31 z^7 a^{-1} -13 z^7 a^{-3} -12 a^6 z^6-2 a^4 z^6+30 a^2 z^6-z^6 a^{-2} -6 z^6 a^{-4} +25 z^6-4 a^7 z^5+12 a^5 z^5+45 a^3 z^5+67 a z^5+62 z^5 a^{-1} +24 z^5 a^{-3} +12 a^6 z^4+11 a^4 z^4-4 a^2 z^4+15 z^4 a^{-2} +10 z^4 a^{-4} +2 z^4+4 a^7 z^3-5 a^5 z^3-30 a^3 z^3-46 a z^3-43 z^3 a^{-1} -18 z^3 a^{-3} -5 a^6 z^2-9 a^4 z^2-6 a^2 z^2-12 z^2 a^{-2} -6 z^2 a^{-4} -8 z^2-a^7 z+a^5 z+7 a^3 z+11 a z+10 z a^{-1} +4 z a^{-3} +a^6+2 a^4+a^2+2 a^{-2} + a^{-4} +2 }[/math] |
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