K13n2676
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Polynomial invariants
| Jones polynomial | Data:K13n2676/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+5 t^3-13 t^2+24 t-29+24 t^{-1} -13 t^{-2} +5 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2676/Conway Polynomial |
| Determinant | 115 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} +z^6 a^{-2} -6 z^6 a^{-4} +2 z^6 a^{-6} +4 z^4 a^{-2} -14 z^4 a^{-4} +8 z^4 a^{-6} -z^4 a^{-8} +6 z^2 a^{-2} -13 z^2 a^{-4} +10 z^2 a^{-6} -2 z^2 a^{-8} +3 a^{-2} -4 a^{-4} +3 a^{-6} - a^{-8} }[/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} +z^9 a^{-3} +2 z^9 a^{-5} +7 z^9 a^{-7} +6 z^9 a^{-9} -5 z^8 a^{-4} -17 z^8 a^{-6} -8 z^8 a^{-8} +4 z^8 a^{-10} +2 z^7 a^{-3} -8 z^7 a^{-5} -32 z^7 a^{-7} -21 z^7 a^{-9} +z^7 a^{-11} +6 z^6 a^{-2} +16 z^6 a^{-4} +18 z^6 a^{-6} -6 z^6 a^{-8} -14 z^6 a^{-10} +3 z^5 a^{-1} -2 z^5 a^{-3} +8 z^5 a^{-5} +35 z^5 a^{-7} +19 z^5 a^{-9} -3 z^5 a^{-11} -9 z^4 a^{-2} -24 z^4 a^{-4} -16 z^4 a^{-6} +10 z^4 a^{-8} +12 z^4 a^{-10} +z^4-3 z^3 a^{-1} +2 z^3 a^{-3} -2 z^3 a^{-5} -15 z^3 a^{-7} -6 z^3 a^{-9} +2 z^3 a^{-11} +7 z^2 a^{-2} +18 z^2 a^{-4} +11 z^2 a^{-6} -z^2 a^{-8} -2 z^2 a^{-10} -z^2+z a^{-7} +z a^{-9} -3 a^{-2} -4 a^{-4} -3 a^{-6} - a^{-8} }[/math] |
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