K13n1145
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Polynomial invariants
| Jones polynomial | Data:K13n1145/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+16 t^2-27 t+33-27 t^{-1} +16 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n1145/Conway Polynomial |
| Determinant | 133 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +6 z^6 a^{-2} -z^6 a^{-4} -3 z^6+2 a^2 z^4+15 z^4 a^{-2} -4 z^4 a^{-4} -13 z^4+5 a^2 z^2+17 z^2 a^{-2} -5 z^2 a^{-4} -18 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} +6 z^{10} a^{-2} +3 z^{10} a^{-4} +3 z^{10}+4 a z^9+5 z^9 a^{-1} +5 z^9 a^{-3} +4 z^9 a^{-5} +3 a^2 z^8-15 z^8 a^{-2} -6 z^8 a^{-4} +3 z^8 a^{-6} -3 z^8+a^3 z^7-4 a z^7-11 z^7 a^{-1} -21 z^7 a^{-3} -14 z^7 a^{-5} +z^7 a^{-7} +a^2 z^6+26 z^6 a^{-2} +z^6 a^{-4} -12 z^6 a^{-6} +14 z^6+5 a^3 z^5+8 a z^5+12 z^5 a^{-1} +29 z^5 a^{-3} +16 z^5 a^{-5} -4 z^5 a^{-7} +3 a^4 z^4-4 a^2 z^4-40 z^4 a^{-2} -z^4 a^{-4} +14 z^4 a^{-6} -32 z^4-7 a^3 z^3-9 a z^3-14 z^3 a^{-1} -25 z^3 a^{-3} -9 z^3 a^{-5} +4 z^3 a^{-7} -3 a^4 z^2+5 a^2 z^2+27 z^2 a^{-2} +3 z^2 a^{-4} -4 z^2 a^{-6} +28 z^2+2 a^3 z+4 a z+6 z a^{-1} +7 z a^{-3} +3 z a^{-5} -3 a^2-7 a^{-2} -2 a^{-4} -7 }[/math] |
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