K13a1459
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Polynomial invariants
| Jones polynomial | Data:K13a1459/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+5 t^4-14 t^3+28 t^2-41 t+47-41 t^{-1} +28 t^{-2} -14 t^{-3} +5 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13a1459/Conway Polynomial |
| Determinant | 225 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10}+a^2 z^8+2 z^8 a^{-2} -8 z^8+6 a^2 z^6+13 z^6 a^{-2} -z^6 a^{-4} -27 z^6+14 a^2 z^4+32 z^4 a^{-2} -5 z^4 a^{-4} -47 z^4+14 a^2 z^2+34 z^2 a^{-2} -8 z^2 a^{-4} -40 z^2+4 a^2+12 a^{-2} -4 a^{-4} -11 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{12} a^{-2} +z^{12}+4 a z^{11}+7 z^{11} a^{-1} +3 z^{11} a^{-3} +8 a^2 z^{10}+9 z^{10} a^{-2} +5 z^{10} a^{-4} +12 z^{10}+9 a^3 z^9+4 a z^9-8 z^9 a^{-1} +2 z^9 a^{-3} +5 z^9 a^{-5} +6 a^4 z^8-18 a^2 z^8-31 z^8 a^{-2} -12 z^8 a^{-4} +3 z^8 a^{-6} -40 z^8+3 a^5 z^7-26 a^3 z^7-37 a z^7-16 z^7 a^{-1} -26 z^7 a^{-3} -17 z^7 a^{-5} +z^7 a^{-7} +a^6 z^6-14 a^4 z^6+19 a^2 z^6+48 z^6 a^{-2} +9 z^6 a^{-4} -11 z^6 a^{-6} +62 z^6-7 a^5 z^5+37 a^3 z^5+73 a z^5+51 z^5 a^{-1} +47 z^5 a^{-3} +21 z^5 a^{-5} -4 z^5 a^{-7} -3 a^6 z^4+10 a^4 z^4-10 a^2 z^4-54 z^4 a^{-2} -7 z^4 a^{-4} +12 z^4 a^{-6} -58 z^4+3 a^5 z^3-29 a^3 z^3-56 a z^3-49 z^3 a^{-1} -44 z^3 a^{-3} -15 z^3 a^{-5} +4 z^3 a^{-7} +2 a^6 z^2-4 a^4 z^2+7 a^2 z^2+39 z^2 a^{-2} +5 z^2 a^{-4} -4 z^2 a^{-6} +43 z^2+6 a^3 z+15 a z+17 z a^{-1} +13 z a^{-3} +5 z a^{-5} -4 a^2-12 a^{-2} -4 a^{-4} -11 }[/math] |
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