K13n2447
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Polynomial invariants
| Jones polynomial | Data:K13n2447/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+16 t^2-28 t+35-28 t^{-1} +16 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2447/Conway Polynomial |
| Determinant | 137 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +5 z^6 a^{-2} -z^6 a^{-4} -2 z^6+a^2 z^4+10 z^4 a^{-2} -3 z^4 a^{-4} -8 z^4+3 a^2 z^2+10 z^2 a^{-2} -3 z^2 a^{-4} -12 z^2+3 a^2+5 a^{-2} - a^{-4} -6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +10 z^{10} a^{-2} +6 z^{10} a^{-4} +4 z^{10}+2 a z^9+z^9 a^{-1} +6 z^9 a^{-3} +7 z^9 a^{-5} -33 z^8 a^{-2} -15 z^8 a^{-4} +4 z^8 a^{-6} -14 z^8-2 a z^7-15 z^7 a^{-1} -37 z^7 a^{-3} -23 z^7 a^{-5} +z^7 a^{-7} +7 a^2 z^6+43 z^6 a^{-2} +3 z^6 a^{-4} -13 z^6 a^{-6} +34 z^6+3 a^3 z^5+7 a z^5+26 z^5 a^{-1} +45 z^5 a^{-3} +20 z^5 a^{-5} -3 z^5 a^{-7} +a^4 z^4-11 a^2 z^4-37 z^4 a^{-2} +3 z^4 a^{-4} +11 z^4 a^{-6} -41 z^4-3 a^3 z^3-5 a z^3-16 z^3 a^{-1} -24 z^3 a^{-3} -8 z^3 a^{-5} +2 z^3 a^{-7} -a^4 z^2+9 a^2 z^2+21 z^2 a^{-2} +z^2 a^{-4} -3 z^2 a^{-6} +27 z^2+a^3 z+a z+3 z a^{-1} +5 z a^{-3} +2 z a^{-5} -3 a^2-5 a^{-2} - a^{-4} -6 }[/math] |
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