K13n1804
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Polynomial invariants
| Jones polynomial | Data:K13n1804/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-14 t^2+22 t-25+22 t^{-1} -14 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1804/Conway Polynomial |
| Determinant | 111 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^8+a^4 z^6-5 a^2 z^6+2 z^6+4 a^4 z^4-8 a^2 z^4-z^4 a^{-2} +7 z^4-a^6 z^2+4 a^4 z^2-3 a^2 z^2-2 z^2 a^{-2} +6 z^2-a^6+2 a^2- a^{-2} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+2 a^4 z^{10}+6 a^2 z^{10}+4 z^{10}+a^5 z^9+3 a^3 z^9+8 a z^9+6 z^9 a^{-1} -6 a^4 z^8-15 a^2 z^8+4 z^8 a^{-2} -5 z^8-3 a^5 z^7-20 a^3 z^7-36 a z^7-18 z^7 a^{-1} +z^7 a^{-3} +a^6 z^6+9 a^4 z^6+2 a^2 z^6-13 z^6 a^{-2} -19 z^6+10 a^5 z^5+37 a^3 z^5+39 a z^5+9 z^5 a^{-1} -3 z^5 a^{-3} +2 a^6 z^4+a^4 z^4+15 a^2 z^4+11 z^4 a^{-2} +27 z^4+2 a^7 z^3-7 a^5 z^3-28 a^3 z^3-21 a z^3+z^3 a^{-1} +3 z^3 a^{-3} -2 a^6 z^2-3 a^4 z^2-8 a^2 z^2-4 z^2 a^{-2} -11 z^2-2 a^7 z+2 a^5 z+9 a^3 z+7 a z+z a^{-1} -z a^{-3} +a^6-2 a^2+ a^{-2} +1 }[/math] |
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