K13n4008
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Polynomial invariants
| Jones polynomial | Data:K13n4008/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+23 t^2-44 t+55-44 t^{-1} +23 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4008/Conway Polynomial |
| Determinant | 205 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +4 z^6 a^{-2} -z^6 a^{-4} -2 z^6+a^2 z^4+6 z^4 a^{-2} -2 z^4 a^{-4} -4 z^4+2 z^2 a^{-2} -z^2 a^{-4} -a^2- a^{-2} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 5 z^{11} a^{-1} +5 z^{11} a^{-3} +23 z^{10} a^{-2} +12 z^{10} a^{-4} +11 z^{10}+8 a z^9+2 z^9 a^{-1} +5 z^9 a^{-3} +11 z^9 a^{-5} +2 a^2 z^8-76 z^8 a^{-2} -35 z^8 a^{-4} +5 z^8 a^{-6} -34 z^8-17 a z^7-36 z^7 a^{-1} -54 z^7 a^{-3} -34 z^7 a^{-5} +z^7 a^{-7} +7 a^2 z^6+90 z^6 a^{-2} +27 z^6 a^{-4} -13 z^6 a^{-6} +57 z^6+6 a^3 z^5+28 a z^5+57 z^5 a^{-1} +65 z^5 a^{-3} +28 z^5 a^{-5} -2 z^5 a^{-7} +a^4 z^4-7 a^2 z^4-49 z^4 a^{-2} -10 z^4 a^{-4} +6 z^4 a^{-6} -41 z^4-3 a^3 z^3-18 a z^3-33 z^3 a^{-1} -26 z^3 a^{-3} -8 z^3 a^{-5} +a^2 z^2+9 z^2 a^{-2} +4 z^2 a^{-4} +6 z^2+2 a z+4 z a^{-1} +3 z a^{-3} +z a^{-5} +a^2+ a^{-2} +3 }[/math] |
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