K13n493
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Polynomial invariants
| Jones polynomial | Data:K13n493/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+4 t^2-8 t+11-8 t^{-1} +4 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n493/Conway Polynomial |
| Determinant | 37 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} -z^8+a^2 z^6+7 z^6 a^{-2} -z^6 a^{-4} -8 z^6+5 a^2 z^4+18 z^4 a^{-2} -4 z^4 a^{-4} -21 z^4+7 a^2 z^2+19 z^2 a^{-2} -5 z^2 a^{-4} -22 z^2+3 a^2+7 a^{-2} -2 a^{-4} -7 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +a^2 z^{10}+4 z^{10} a^{-2} +3 z^{10} a^{-4} +2 z^{10}+2 a^3 z^9+2 a z^9-5 z^9 a^{-1} -z^9 a^{-3} +4 z^9 a^{-5} +a^4 z^8-6 a^2 z^8-26 z^8 a^{-2} -13 z^8 a^{-4} +3 z^8 a^{-6} -17 z^8-13 a^3 z^7-17 a z^7-15 z^7 a^{-3} -18 z^7 a^{-5} +z^7 a^{-7} -6 a^4 z^6+7 a^2 z^6+58 z^6 a^{-2} +14 z^6 a^{-4} -13 z^6 a^{-6} +44 z^6+24 a^3 z^5+36 a z^5+22 z^5 a^{-1} +35 z^5 a^{-3} +21 z^5 a^{-5} -4 z^5 a^{-7} +10 a^4 z^4-a^2 z^4-62 z^4 a^{-2} -8 z^4 a^{-4} +13 z^4 a^{-6} -52 z^4-15 a^3 z^3-26 a z^3-28 z^3 a^{-1} -30 z^3 a^{-3} -10 z^3 a^{-5} +3 z^3 a^{-7} -5 a^4 z^2+4 a^2 z^2+31 z^2 a^{-2} +5 z^2 a^{-4} -3 z^2 a^{-6} +32 z^2+3 a^3 z+7 a z+9 z a^{-1} +8 z a^{-3} +3 z a^{-5} -3 a^2-7 a^{-2} -2 a^{-4} -7 }[/math] |
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