K13n2175
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Polynomial invariants
| Jones polynomial | Data:K13n2175/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+3 t^3-7 t^2+12 t-13+12 t^{-1} -7 t^{-2} +3 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2175/Conway Polynomial |
| Determinant | 59 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+a^2 z^6+z^6 a^{-2} -7 z^6+5 a^2 z^4+4 z^4 a^{-2} -18 z^4+8 a^2 z^2+5 z^2 a^{-2} +z^2 a^{-4} -19 z^2+4 a^2+2 a^{-2} + a^{-4} -6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +2 a^2 z^{10}+2 z^{10} a^{-2} +4 z^{10}+2 a^3 z^9-3 a z^9-3 z^9 a^{-1} +2 z^9 a^{-3} +a^4 z^8-10 a^2 z^8-10 z^8 a^{-2} +z^8 a^{-4} -22 z^8-11 a^3 z^7+z^7 a^{-1} -10 z^7 a^{-3} -6 a^4 z^6+16 a^2 z^6+22 z^6 a^{-2} -4 z^6 a^{-4} +48 z^6+18 a^3 z^5+a z^5+5 z^5 a^{-1} +23 z^5 a^{-3} +z^5 a^{-5} +11 a^4 z^4-15 a^2 z^4-24 z^4 a^{-2} +10 z^4 a^{-4} -60 z^4-9 a^3 z^3+a z^3-13 z^3 a^{-1} -22 z^3 a^{-3} +z^3 a^{-5} -6 a^4 z^2+13 a^2 z^2+8 z^2 a^{-2} -6 z^2 a^{-4} +2 z^2 a^{-6} +35 z^2+a^3 z+a z+5 z a^{-1} +6 z a^{-3} +z a^{-5} -4 a^2-2 a^{-2} + a^{-4} -6 }[/math] |
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