K13n314
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Polynomial invariants
| Jones polynomial | Data:K13n314/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-13 t^2+31 t-39+31 t^{-1} -13 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n314/Conway Polynomial |
| Determinant | 131 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-4} +z^6 a^{-6} -3 z^4 a^{-2} +z^4 a^{-4} +2 z^4 a^{-6} -z^4 a^{-8} -6 z^2 a^{-2} +2 z^2 a^{-6} -z^2 a^{-8} +2 z^2-3 a^{-2} + a^{-6} +3 }[/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} +2 z^9 a^{-3} +4 z^9 a^{-5} +8 z^9 a^{-7} +6 z^9 a^{-9} +2 z^8 a^{-2} +z^8 a^{-4} -11 z^8 a^{-6} -6 z^8 a^{-8} +4 z^8 a^{-10} +z^7 a^{-1} +3 z^7 a^{-3} -8 z^7 a^{-5} -31 z^7 a^{-7} -20 z^7 a^{-9} +z^7 a^{-11} -z^6 a^{-2} -z^6 a^{-4} +2 z^6 a^{-6} -12 z^6 a^{-8} -14 z^6 a^{-10} +z^5 a^{-1} -9 z^5 a^{-3} +30 z^5 a^{-7} +17 z^5 a^{-9} -3 z^5 a^{-11} +6 z^4 a^{-2} -4 z^4 a^{-4} -z^4 a^{-6} +19 z^4 a^{-8} +13 z^4 a^{-10} +3 z^4+13 z^3 a^{-3} +5 z^3 a^{-5} -14 z^3 a^{-7} -4 z^3 a^{-9} +2 z^3 a^{-11} -8 z^2 a^{-2} +5 z^2 a^{-4} +3 z^2 a^{-6} -7 z^2 a^{-8} -3 z^2 a^{-10} -6 z^2-2 z a^{-1} -6 z a^{-3} -2 z a^{-5} +3 z a^{-7} +z a^{-9} +3 a^{-2} - a^{-6} +3 }[/math] |
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