K13n4213
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Polynomial invariants
| Jones polynomial | Data:K13n4213/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+16 t^2-26 t+31-26 t^{-1} +16 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4213/Conway Polynomial |
| Determinant | 129 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -2 z^6 a^{-2} +5 z^6 a^{-4} -z^6 a^{-6} -7 z^4 a^{-2} +9 z^4 a^{-4} -3 z^4 a^{-6} +z^4-6 z^2 a^{-2} +6 z^2 a^{-4} -2 z^2 a^{-6} +2 z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-3} +2 z^{11} a^{-5} +5 z^{10} a^{-2} +10 z^{10} a^{-4} +5 z^{10} a^{-6} +4 z^9 a^{-1} +4 z^9 a^{-3} +5 z^9 a^{-5} +5 z^9 a^{-7} -17 z^8 a^{-2} -31 z^8 a^{-4} -10 z^8 a^{-6} +3 z^8 a^{-8} +z^8-17 z^7 a^{-1} -40 z^7 a^{-3} -33 z^7 a^{-5} -9 z^7 a^{-7} +z^7 a^{-9} +7 z^6 a^{-2} +14 z^6 a^{-4} +2 z^6 a^{-6} -z^6 a^{-8} -4 z^6+22 z^5 a^{-1} +54 z^5 a^{-3} +35 z^5 a^{-5} +7 z^5 a^{-7} +4 z^5 a^{-9} +17 z^4 a^{-2} +13 z^4 a^{-4} -2 z^4 a^{-6} +4 z^4 a^{-10} +6 z^4-9 z^3 a^{-1} -21 z^3 a^{-3} -19 z^3 a^{-5} -10 z^3 a^{-7} -2 z^3 a^{-9} +z^3 a^{-11} -10 z^2 a^{-2} -7 z^2 a^{-4} -z^2 a^{-6} -z^2 a^{-8} -z^2 a^{-10} -4 z^2+z a^{-1} +4 z a^{-3} +6 z a^{-5} +4 z a^{-7} +z a^{-9} +1 }[/math] |
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