K13n655
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Polynomial invariants
| Jones polynomial | Data:K13n655/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-15 t^2+25 t-29+25 t^{-1} -15 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n655/Conway Polynomial |
| Determinant | 123 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+3 a^2 z^6+z^6 a^{-2} -6 z^6-2 a^4 z^4+14 a^2 z^4+4 z^4 a^{-2} -15 z^4-6 a^4 z^2+22 a^2 z^2+5 z^2 a^{-2} -18 z^2-5 a^4+12 a^2+2 a^{-2} -8 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +4 a^2 z^{10}+3 z^{10} a^{-2} +7 z^{10}+6 a^3 z^9+9 a z^9+6 z^9 a^{-1} +3 z^9 a^{-3} +5 a^4 z^8-5 a^2 z^8-10 z^8 a^{-2} +z^8 a^{-4} -21 z^8+3 a^5 z^7-11 a^3 z^7-38 a z^7-39 z^7 a^{-1} -15 z^7 a^{-3} +a^6 z^6-2 a^4 z^6+4 a^2 z^6+4 z^6 a^{-2} -5 z^6 a^{-4} +16 z^6+2 a^5 z^5+14 a^3 z^5+49 a z^5+62 z^5 a^{-1} +25 z^5 a^{-3} +4 a^6 z^4-8 a^4 z^4-26 a^2 z^4+9 z^4 a^{-2} +8 z^4 a^{-4} -13 z^4+3 a^7 z^3-2 a^5 z^3-23 a^3 z^3-43 a z^3-41 z^3 a^{-1} -16 z^3 a^{-3} -a^6 z^2+12 a^4 z^2+28 a^2 z^2-2 z^2 a^{-2} -4 z^2 a^{-4} +17 z^2-2 a^7 z+2 a^5 z+12 a^3 z+17 a z+13 z a^{-1} +4 z a^{-3} -5 a^4-12 a^2-2 a^{-2} -8 }[/math] |
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