K13n275
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Polynomial invariants
| Jones polynomial | Data:K13n275/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-14 t^2+32 t-41+32 t^{-1} -14 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n275/Conway Polynomial |
| Determinant | 139 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-2} +z^6 a^{-4} +7 z^4 a^{-2} +z^4 a^{-4} -2 z^4 a^{-6} -2 z^4+10 z^2 a^{-2} -4 z^2 a^{-6} +z^2 a^{-8} -4 z^2+5 a^{-2} -3 a^{-6} + a^{-8} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +3 z^{10} a^{-2} +6 z^{10} a^{-4} +3 z^{10} a^{-6} +3 z^9 a^{-1} +5 z^9 a^{-3} +6 z^9 a^{-5} +4 z^9 a^{-7} -6 z^8 a^{-2} -12 z^8 a^{-4} -z^8 a^{-6} +4 z^8 a^{-8} +z^8-5 z^7 a^{-1} -14 z^7 a^{-3} -16 z^7 a^{-5} -4 z^7 a^{-7} +3 z^7 a^{-9} +18 z^6 a^{-2} +16 z^6 a^{-4} -7 z^6 a^{-6} -8 z^6 a^{-8} +z^6 a^{-10} +4 z^6+3 a z^5+11 z^5 a^{-1} +24 z^5 a^{-3} +16 z^5 a^{-5} -9 z^5 a^{-7} -9 z^5 a^{-9} -29 z^4 a^{-2} -11 z^4 a^{-4} +11 z^4 a^{-6} +2 z^4 a^{-8} -3 z^4 a^{-10} -12 z^4-6 a z^3-19 z^3 a^{-1} -23 z^3 a^{-3} -2 z^3 a^{-5} +16 z^3 a^{-7} +8 z^3 a^{-9} +17 z^2 a^{-2} +4 z^2 a^{-4} -7 z^2 a^{-6} +2 z^2 a^{-10} +8 z^2+3 a z+8 z a^{-1} +8 z a^{-3} -2 z a^{-5} -8 z a^{-7} -3 z a^{-9} -5 a^{-2} +3 a^{-6} + a^{-8} -2 }[/math] |
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