K13n3166
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Polynomial invariants
| Jones polynomial | Data:K13n3166/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+3 t^3+2 t^2-14 t+21-14 t^{-1} +2 t^{-2} +3 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3166/Conway Polynomial |
| Determinant | 45 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} +z^6 a^{-4} -6 z^6 a^{-6} +5 z^4 a^{-4} -9 z^4 a^{-6} +2 z^4 a^{-8} +2 z^4 a^{-10} +6 z^2 a^{-4} -3 z^2 a^{-6} +z^2 a^{-8} +2 z^2 a^{-10} -z^2 a^{-12} + a^{-4} +2 a^{-6} -2 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-9} +z^{11} a^{-11} +z^{10} a^{-6} +2 z^{10} a^{-8} +5 z^{10} a^{-10} +4 z^{10} a^{-12} +2 z^9 a^{-5} +2 z^9 a^{-7} -3 z^9 a^{-9} +3 z^9 a^{-11} +6 z^9 a^{-13} +z^8 a^{-4} -5 z^8 a^{-6} -16 z^8 a^{-8} -28 z^8 a^{-10} -14 z^8 a^{-12} +4 z^8 a^{-14} -12 z^7 a^{-5} -17 z^7 a^{-7} -13 z^7 a^{-9} -34 z^7 a^{-11} -25 z^7 a^{-13} +z^7 a^{-15} -6 z^6 a^{-4} +2 z^6 a^{-6} +32 z^6 a^{-8} +43 z^6 a^{-10} +4 z^6 a^{-12} -15 z^6 a^{-14} +20 z^5 a^{-5} +32 z^5 a^{-7} +38 z^5 a^{-9} +54 z^5 a^{-11} +25 z^5 a^{-13} -3 z^5 a^{-15} +11 z^4 a^{-4} +4 z^4 a^{-6} -27 z^4 a^{-8} -25 z^4 a^{-10} +6 z^4 a^{-12} +11 z^4 a^{-14} -11 z^3 a^{-5} -22 z^3 a^{-7} -26 z^3 a^{-9} -25 z^3 a^{-11} -9 z^3 a^{-13} +z^3 a^{-15} -7 z^2 a^{-4} +z^2 a^{-6} +14 z^2 a^{-8} +7 z^2 a^{-10} -z^2 a^{-14} +z a^{-5} +6 z a^{-7} +4 z a^{-9} -z a^{-11} + a^{-4} -2 a^{-6} -2 a^{-8} }[/math] |
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