K13n1956
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Polynomial invariants
| Jones polynomial | Data:K13n1956/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-15 t^2+34 t-43+34 t^{-1} -15 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1956/Conway Polynomial |
| Determinant | 147 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-2} +z^6-a^2 z^4+6 z^4 a^{-2} -3 z^4 a^{-4} +z^4-a^2 z^2+8 z^2 a^{-2} -6 z^2 a^{-4} +z^2 a^{-6} -z^2+5 a^{-2} -4 a^{-4} + a^{-6} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +11 z^{10} a^{-2} +5 z^{10} a^{-4} +6 z^{10}+7 a z^9+8 z^9 a^{-1} +5 z^9 a^{-3} +4 z^9 a^{-5} +4 a^2 z^8-34 z^8 a^{-2} -15 z^8 a^{-4} +z^8 a^{-6} -14 z^8+a^3 z^7-23 a z^7-44 z^7 a^{-1} -31 z^7 a^{-3} -11 z^7 a^{-5} -13 a^2 z^6+38 z^6 a^{-2} +27 z^6 a^{-4} +3 z^6 a^{-6} +z^6-3 a^3 z^5+21 a z^5+54 z^5 a^{-1} +51 z^5 a^{-3} +25 z^5 a^{-5} +4 z^5 a^{-7} +11 a^2 z^4-26 z^4 a^{-2} -22 z^4 a^{-4} -2 z^4 a^{-6} +z^4 a^{-8} +4 z^4+2 a^3 z^3-9 a z^3-29 z^3 a^{-1} -34 z^3 a^{-3} -21 z^3 a^{-5} -5 z^3 a^{-7} -3 a^2 z^2+14 z^2 a^{-2} +12 z^2 a^{-4} +z^2 a^{-6} -z^2 a^{-8} +z^2+2 a z+6 z a^{-1} +9 z a^{-3} +7 z a^{-5} +2 z a^{-7} -5 a^{-2} -4 a^{-4} - a^{-6} -1 }[/math] |
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