K14n15540
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Polynomial invariants
| Jones polynomial | Data:K14n15540/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-6 t^4+16 t^3-27 t^2+34 t-35+34 t^{-1} -27 t^{-2} +16 t^{-3} -6 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K14n15540/Conway Polynomial |
| Determinant | Data:K14n15540/Determinant |
| Signature | Data:K14n15540/Signature |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-2} +7 z^8 a^{-2} -z^8 a^{-4} -2 z^8+a^2 z^6+19 z^6 a^{-2} -6 z^6 a^{-4} -11 z^6+4 a^2 z^4+26 z^4 a^{-2} -11 z^4 a^{-4} +z^4 a^{-6} -21 z^4+5 a^2 z^2+17 z^2 a^{-2} -7 z^2 a^{-4} +z^2 a^{-6} -17 z^2+2 a^2+4 a^{-2} - a^{-4} -4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{12} a^{-2} +2 z^{12}+6 a z^{11}+12 z^{11} a^{-1} +6 z^{11} a^{-3} +7 a^2 z^{10}+9 z^{10} a^{-2} +6 z^{10} a^{-4} +10 z^{10}+4 a^3 z^9-14 a z^9-37 z^9 a^{-1} -17 z^9 a^{-3} +2 z^9 a^{-5} +a^4 z^8-26 a^2 z^8-54 z^8 a^{-2} -22 z^8 a^{-4} -59 z^8-16 a^3 z^7-7 a z^7+28 z^7 a^{-1} +14 z^7 a^{-3} -5 z^7 a^{-5} -4 a^4 z^6+28 a^2 z^6+85 z^6 a^{-2} +38 z^6 a^{-4} +z^6 a^{-6} +80 z^6+20 a^3 z^5+21 a z^5-8 z^5 a^{-1} +5 z^5 a^{-3} +14 z^5 a^{-5} +5 a^4 z^4-13 a^2 z^4-66 z^4 a^{-2} -23 z^4 a^{-4} +4 z^4 a^{-6} -57 z^4-9 a^3 z^3-8 a z^3-z^3 a^{-1} -10 z^3 a^{-3} -7 z^3 a^{-5} +z^3 a^{-7} -2 a^4 z^2+6 a^2 z^2+24 z^2 a^{-2} +6 z^2 a^{-4} -z^2 a^{-6} +25 z^2+a^3 z+a z+z a^{-1} +2 z a^{-3} +z a^{-5} -2 a^2-4 a^{-2} - a^{-4} -4 }[/math] |
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