K13n2155
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Polynomial invariants
| Jones polynomial | Data:K13n2155/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-20 t^2+37 t-45+37 t^{-1} -20 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2155/Conway Polynomial |
| Determinant | 175 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -5 z^6 a^{-2} +3 z^6 a^{-4} +z^6-11 z^4 a^{-2} +12 z^4 a^{-4} -2 z^4 a^{-6} +3 z^4-11 z^2 a^{-2} +17 z^2 a^{-4} -5 z^2 a^{-6} +3 z^2-4 a^{-2} +8 a^{-4} -4 a^{-6} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +4 z^{10} a^{-2} +7 z^{10} a^{-4} +3 z^{10} a^{-6} +7 z^9 a^{-1} +13 z^9 a^{-3} +9 z^9 a^{-5} +3 z^9 a^{-7} +7 z^8 a^{-2} +z^8 a^{-6} +z^8 a^{-8} +7 z^8+4 a z^7-7 z^7 a^{-1} -23 z^7 a^{-3} -13 z^7 a^{-5} -z^7 a^{-7} +a^2 z^6-28 z^6 a^{-2} -20 z^6 a^{-4} -3 z^6 a^{-6} +4 z^6 a^{-8} -14 z^6-9 a z^5-8 z^5 a^{-1} +5 z^5 a^{-3} +2 z^5 a^{-5} +z^5 a^{-7} +3 z^5 a^{-9} -2 a^2 z^4+25 z^4 a^{-2} +27 z^4 a^{-4} +4 z^4 a^{-6} -8 z^4 a^{-8} +8 z^4+6 a z^3+10 z^3 a^{-1} +8 z^3 a^{-3} +6 z^3 a^{-5} -4 z^3 a^{-7} -6 z^3 a^{-9} +a^2 z^2-13 z^2 a^{-2} -21 z^2 a^{-4} -8 z^2 a^{-6} +3 z^2 a^{-8} -2 z^2-a z-3 z a^{-1} -4 z a^{-3} -4 z a^{-5} +z a^{-7} +3 z a^{-9} +4 a^{-2} +8 a^{-4} +4 a^{-6} +1 }[/math] |
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