K13n3460
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Polynomial invariants
| Jones polynomial | Data:K13n3460/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+18 t^2-44 t+59-44 t^{-1} +18 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3460/Conway Polynomial |
| Determinant | 189 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6+2 z^4 a^4+z^2 a^4-a^4-z^6 a^2+z^4 a^2+4 z^2 a^2+2 a^2-2 z^6-5 z^4-5 z^2+2 z^4 a^{-2} +2 z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^3 z^{11}+2 a z^{11}+6 a^4 z^{10}+13 a^2 z^{10}+7 z^{10}+7 a^5 z^9+13 a^3 z^9+15 a z^9+9 z^9 a^{-1} +4 a^6 z^8-10 a^4 z^8-27 a^2 z^8+5 z^8 a^{-2} -8 z^8+a^7 z^7-22 a^5 z^7-53 a^3 z^7-47 a z^7-16 z^7 a^{-1} +z^7 a^{-3} -13 a^6 z^6-7 a^4 z^6+15 a^2 z^6+2 z^6 a^{-2} +11 z^6-3 a^7 z^5+22 a^5 z^5+60 a^3 z^5+52 a z^5+26 z^5 a^{-1} +9 z^5 a^{-3} +12 a^6 z^4+13 a^4 z^4-10 a^2 z^4-6 z^4 a^{-2} +3 z^4 a^{-4} -20 z^4+2 a^7 z^3-10 a^5 z^3-30 a^3 z^3-31 a z^3-22 z^3 a^{-1} -9 z^3 a^{-3} -3 a^6 z^2-2 a^4 z^2+9 a^2 z^2+3 z^2 a^{-2} -z^2 a^{-4} +12 z^2+2 a^5 z+5 a^3 z+6 a z+4 z a^{-1} +z a^{-3} -a^4-2 a^2 }[/math] |
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