K13n1969
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Polynomial invariants
| Jones polynomial | Data:K13n1969/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+12 t^2-18 t+21-18 t^{-1} +12 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n1969/Conway Polynomial |
| Determinant | 93 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +6 z^6 a^{-2} -2 z^6 a^{-4} -z^6+14 z^4 a^{-2} -9 z^4 a^{-4} +z^4 a^{-6} -4 z^4+16 z^2 a^{-2} -13 z^2 a^{-4} +3 z^2 a^{-6} -5 z^2+8 a^{-2} -7 a^{-4} +2 a^{-6} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +3 z^{10} a^{-2} +6 z^{10} a^{-4} +3 z^{10} a^{-6} +3 z^9 a^{-1} +4 z^9 a^{-3} +4 z^9 a^{-5} +3 z^9 a^{-7} -9 z^8 a^{-2} -22 z^8 a^{-4} -11 z^8 a^{-6} +z^8 a^{-8} +z^8-8 z^7 a^{-1} -26 z^7 a^{-3} -33 z^7 a^{-5} -15 z^7 a^{-7} +15 z^6 a^{-2} +22 z^6 a^{-4} +6 z^6 a^{-6} -5 z^6 a^{-8} +4 z^6+6 a z^5+14 z^5 a^{-1} +37 z^5 a^{-3} +53 z^5 a^{-5} +24 z^5 a^{-7} +3 a^2 z^4-27 z^4 a^{-2} -16 z^4 a^{-4} +7 z^4 a^{-6} +8 z^4 a^{-8} -9 z^4+a^3 z^3-6 a z^3-17 z^3 a^{-1} -29 z^3 a^{-3} -34 z^3 a^{-5} -15 z^3 a^{-7} -a^2 z^2+22 z^2 a^{-2} +16 z^2 a^{-4} -2 z^2 a^{-6} -4 z^2 a^{-8} +7 z^2+2 a z+6 z a^{-1} +11 z a^{-3} +11 z a^{-5} +4 z a^{-7} -8 a^{-2} -7 a^{-4} -2 a^{-6} -2 }[/math] |
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