K13n387
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Polynomial invariants
| Jones polynomial | Data:K13n387/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+19 t^2-30 t+35-30 t^{-1} +19 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n387/Conway Polynomial |
| Determinant | 149 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-6} -3 z^6 a^{-4} +5 z^6 a^{-6} -z^6 a^{-8} +2 z^4 a^{-2} -12 z^4 a^{-4} +10 z^4 a^{-6} -3 z^4 a^{-8} +6 z^2 a^{-2} -14 z^2 a^{-4} +9 z^2 a^{-6} -2 z^2 a^{-8} +4 a^{-2} -5 a^{-4} +2 a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +2 z^{10} a^{-4} +6 z^{10} a^{-6} +4 z^{10} a^{-8} +z^9 a^{-3} +3 z^9 a^{-5} +9 z^9 a^{-7} +7 z^9 a^{-9} -4 z^8 a^{-4} -10 z^8 a^{-6} +2 z^8 a^{-8} +8 z^8 a^{-10} +z^7 a^{-3} -7 z^7 a^{-5} -20 z^7 a^{-7} -5 z^7 a^{-9} +7 z^7 a^{-11} +3 z^6 a^{-2} +11 z^6 a^{-4} +9 z^6 a^{-6} -11 z^6 a^{-8} -8 z^6 a^{-10} +4 z^6 a^{-12} -7 z^5 a^{-3} +2 z^5 a^{-5} +13 z^5 a^{-7} -7 z^5 a^{-9} -10 z^5 a^{-11} +z^5 a^{-13} -10 z^4 a^{-2} -28 z^4 a^{-4} -14 z^4 a^{-6} +7 z^4 a^{-8} -3 z^4 a^{-10} -6 z^4 a^{-12} +3 z^3 a^{-3} -5 z^3 a^{-5} -z^3 a^{-7} +12 z^3 a^{-9} +4 z^3 a^{-11} -z^3 a^{-13} +11 z^2 a^{-2} +22 z^2 a^{-4} +9 z^2 a^{-6} +z^2 a^{-8} +5 z^2 a^{-10} +2 z^2 a^{-12} +2 z a^{-3} +3 z a^{-5} -2 z a^{-7} -4 z a^{-9} -z a^{-11} -4 a^{-2} -5 a^{-4} -2 a^{-6} }[/math] |
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