K13n1505
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Polynomial invariants
| Jones polynomial | Data:K13n1505/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-3 t^3+2 t^2+6 t-11+6 t^{-1} +2 t^{-2} -3 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n1505/Conway Polynomial |
| Determinant | 11 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +7 z^6 a^{-2} -z^6 a^{-4} -z^6+17 z^4 a^{-2} -7 z^4 a^{-4} -z^4 a^{-6} -5 z^4+20 z^2 a^{-2} -11 z^2 a^{-4} +z^2 a^{-8} -7 z^2+9 a^{-2} -6 a^{-4} + a^{-6} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +5 z^{10} a^{-2} +3 z^{10} a^{-4} +2 z^{10}+a z^9-3 z^9 a^{-1} -2 z^9 a^{-3} +3 z^9 a^{-5} +z^9 a^{-7} -36 z^8 a^{-2} -22 z^8 a^{-4} +3 z^8 a^{-6} +3 z^8 a^{-8} -14 z^8-7 a z^7-13 z^7 a^{-1} -24 z^7 a^{-3} -22 z^7 a^{-5} -z^7 a^{-7} +3 z^7 a^{-9} +80 z^6 a^{-2} +45 z^6 a^{-4} -15 z^6 a^{-6} -11 z^6 a^{-8} +z^6 a^{-10} +32 z^6+16 a z^5+49 z^5 a^{-1} +74 z^5 a^{-3} +44 z^5 a^{-5} -8 z^5 a^{-7} -11 z^5 a^{-9} -75 z^4 a^{-2} -38 z^4 a^{-4} +16 z^4 a^{-6} +8 z^4 a^{-8} -3 z^4 a^{-10} -32 z^4-15 a z^3-49 z^3 a^{-1} -66 z^3 a^{-3} -33 z^3 a^{-5} +7 z^3 a^{-7} +8 z^3 a^{-9} +36 z^2 a^{-2} +21 z^2 a^{-4} -3 z^2 a^{-6} -2 z^2 a^{-8} +z^2 a^{-10} +15 z^2+5 a z+15 z a^{-1} +19 z a^{-3} +9 z a^{-5} -z a^{-7} -z a^{-9} -9 a^{-2} -6 a^{-4} - a^{-6} -3 }[/math] |
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