K13n1254
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Polynomial invariants
| Jones polynomial | Data:K13n1254/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+19 t^2-30 t+35-30 t^{-1} +19 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n1254/Conway Polynomial |
| Determinant | 149 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -2 z^6 a^{-2} +4 z^6 a^{-4} -z^6 a^{-6} -7 z^4 a^{-2} +5 z^4 a^{-4} -2 z^4 a^{-6} +z^4-7 z^2 a^{-2} +3 z^2 a^{-4} +3 z^2-2 a^{-2} + a^{-4} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-3} +2 z^{11} a^{-5} +4 z^{10} a^{-2} +12 z^{10} a^{-4} +8 z^{10} a^{-6} +3 z^9 a^{-1} +5 z^9 a^{-3} +14 z^9 a^{-5} +12 z^9 a^{-7} -12 z^8 a^{-2} -36 z^8 a^{-4} -15 z^8 a^{-6} +8 z^8 a^{-8} +z^8-13 z^7 a^{-1} -42 z^7 a^{-3} -68 z^7 a^{-5} -37 z^7 a^{-7} +2 z^7 a^{-9} +2 z^6 a^{-2} +17 z^6 a^{-4} -8 z^6 a^{-6} -18 z^6 a^{-8} -5 z^6+19 z^5 a^{-1} +58 z^5 a^{-3} +79 z^5 a^{-5} +44 z^5 a^{-7} +4 z^5 a^{-9} +17 z^4 a^{-2} +11 z^4 a^{-4} +18 z^4 a^{-6} +20 z^4 a^{-8} +5 z^4 a^{-10} +9 z^4-11 z^3 a^{-1} -29 z^3 a^{-3} -39 z^3 a^{-5} -25 z^3 a^{-7} -3 z^3 a^{-9} +z^3 a^{-11} -13 z^2 a^{-2} -7 z^2 a^{-4} -6 z^2 a^{-6} -7 z^2 a^{-8} -2 z^2 a^{-10} -7 z^2+2 z a^{-1} +6 z a^{-3} +8 z a^{-5} +5 z a^{-7} +z a^{-9} +2 a^{-2} + a^{-4} +2 }[/math] |
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