K13n741
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Polynomial invariants
| Jones polynomial | Data:K13n741/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-7 t^2+17 t-21+17 t^{-1} -7 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n741/Conway Polynomial |
| Determinant | 71 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} +z^6 a^{-4} +z^6 a^{-6} -7 z^4 a^{-2} +3 z^4 a^{-4} +3 z^4 a^{-6} -z^4 a^{-8} +z^4-12 z^2 a^{-2} +4 z^2 a^{-4} +4 z^2 a^{-6} -2 z^2 a^{-8} +4 z^2-6 a^{-2} +2 a^{-4} +2 a^{-6} - a^{-8} +4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +z^{10} a^{-4} +4 z^{10} a^{-6} +3 z^{10} a^{-8} +z^9 a^{-1} -5 z^9 a^{-5} +4 z^9 a^{-9} +z^8 a^{-2} -6 z^8 a^{-4} -19 z^8 a^{-6} -10 z^8 a^{-8} +3 z^8 a^{-10} +z^8-7 z^7 a^{-1} -2 z^7 a^{-3} +14 z^7 a^{-5} -7 z^7 a^{-7} -15 z^7 a^{-9} +z^7 a^{-11} -13 z^6 a^{-2} +12 z^6 a^{-4} +42 z^6 a^{-6} +12 z^6 a^{-8} -12 z^6 a^{-10} -7 z^6+12 z^5 a^{-1} +2 z^5 a^{-3} -22 z^5 a^{-5} +8 z^5 a^{-7} +16 z^5 a^{-9} -4 z^5 a^{-11} +34 z^4 a^{-2} -4 z^4 a^{-4} -51 z^4 a^{-6} -15 z^4 a^{-8} +13 z^4 a^{-10} +15 z^4-5 z^3 a^{-1} +12 z^3 a^{-3} +20 z^3 a^{-5} -9 z^3 a^{-7} -8 z^3 a^{-9} +4 z^3 a^{-11} -26 z^2 a^{-2} +23 z^2 a^{-6} +7 z^2 a^{-8} -3 z^2 a^{-10} -13 z^2-z a^{-1} -7 z a^{-3} -7 z a^{-5} +z a^{-7} +2 z a^{-9} +6 a^{-2} +2 a^{-4} -2 a^{-6} - a^{-8} +4 }[/math] |
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