K13n1463
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Polynomial invariants
| Jones polynomial | Data:K13n1463/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+15 t^2-22 t+25-22 t^{-1} +15 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n1463/Conway Polynomial |
| Determinant | 113 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-6} -3 z^6 a^{-4} +6 z^6 a^{-6} -z^6 a^{-8} +2 z^4 a^{-2} -14 z^4 a^{-4} +15 z^4 a^{-6} -4 z^4 a^{-8} +7 z^2 a^{-2} -20 z^2 a^{-4} +18 z^2 a^{-6} -5 z^2 a^{-8} +5 a^{-2} -9 a^{-4} +7 a^{-6} -2 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +2 z^{10} a^{-4} +5 z^{10} a^{-6} +3 z^{10} a^{-8} +z^9 a^{-3} -z^9 a^{-5} +3 z^9 a^{-7} +5 z^9 a^{-9} -9 z^8 a^{-4} -19 z^8 a^{-6} -4 z^8 a^{-8} +6 z^8 a^{-10} -z^7 a^{-3} -14 z^7 a^{-7} -10 z^7 a^{-9} +5 z^7 a^{-11} +3 z^6 a^{-2} +27 z^6 a^{-4} +43 z^6 a^{-6} +3 z^6 a^{-8} -13 z^6 a^{-10} +3 z^6 a^{-12} -4 z^5 a^{-3} +4 z^5 a^{-5} +30 z^5 a^{-7} +11 z^5 a^{-9} -10 z^5 a^{-11} +z^5 a^{-13} -12 z^4 a^{-2} -50 z^4 a^{-4} -54 z^4 a^{-6} +2 z^4 a^{-8} +12 z^4 a^{-10} -6 z^4 a^{-12} +3 z^3 a^{-3} -14 z^3 a^{-5} -28 z^3 a^{-7} -3 z^3 a^{-9} +6 z^3 a^{-11} -2 z^3 a^{-13} +14 z^2 a^{-2} +38 z^2 a^{-4} +29 z^2 a^{-6} +z^2 a^{-8} -2 z^2 a^{-10} +2 z^2 a^{-12} +2 z a^{-3} +7 z a^{-5} +7 z a^{-7} +z a^{-9} -z a^{-11} -5 a^{-2} -9 a^{-4} -7 a^{-6} -2 a^{-8} }[/math] |
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