K13n4048
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Polynomial invariants
| Jones polynomial | Data:K13n4048/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+17 t^2-42 t+57-42 t^{-1} +17 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n4048/Conway Polynomial |
| Determinant | 181 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -2 z^6+3 a^2 z^4-z^4 a^{-2} +z^4 a^{-4} -4 z^4-a^4 z^2+3 a^2 z^2-2 z^2 a^{-2} +z^2 a^{-4} -2 z^2-2 a^{-2} + a^{-4} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +3 a^2 z^{10}+8 z^{10} a^{-2} +11 z^{10}+a^3 z^9+3 a z^9+14 z^9 a^{-1} +12 z^9 a^{-3} -3 a^2 z^8-11 z^8 a^{-2} +9 z^8 a^{-4} -23 z^8+6 a^3 z^7-5 a z^7-47 z^7 a^{-1} -32 z^7 a^{-3} +4 z^7 a^{-5} +5 a^4 z^6+13 a^2 z^6-5 z^6 a^{-2} -22 z^6 a^{-4} +z^6 a^{-6} +26 z^6+a^5 z^5-7 a^3 z^5+9 a z^5+58 z^5 a^{-1} +33 z^5 a^{-3} -8 z^5 a^{-5} -6 a^4 z^4-18 a^2 z^4+17 z^4 a^{-2} +17 z^4 a^{-4} -2 z^4 a^{-6} -14 z^4-a^5 z^3-13 a z^3-32 z^3 a^{-1} -16 z^3 a^{-3} +2 z^3 a^{-5} +2 a^4 z^2+5 a^2 z^2-10 z^2 a^{-2} -6 z^2 a^{-4} -z^2+a^3 z+4 a z+6 z a^{-1} +3 z a^{-3} +2 a^{-2} + a^{-4} +2 }[/math] |
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