K13n1348
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Polynomial invariants
| Jones polynomial | Data:K13n1348/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+11 t^2-13 t+11-13 t^{-1} +11 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1348/Conway Polynomial |
| Determinant | 65 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -2 z^6 a^{-6} +z^4 a^{-2} -z^4 a^{-4} -8 z^4 a^{-6} +z^4 a^{-8} +2 z^2 a^{-2} +5 z^2 a^{-4} -9 z^2 a^{-6} +4 z^2 a^{-8} +2 z^2 a^{-10} +4 a^{-4} -5 a^{-6} +2 a^{-8} + a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-9} +z^{11} a^{-11} +z^{10} a^{-6} +2 z^{10} a^{-8} +3 z^{10} a^{-10} +2 z^{10} a^{-12} +4 z^9 a^{-5} +5 z^9 a^{-7} -6 z^9 a^{-9} -6 z^9 a^{-11} +z^9 a^{-13} +5 z^8 a^{-4} +6 z^8 a^{-6} -10 z^8 a^{-8} -26 z^8 a^{-10} -15 z^8 a^{-12} +3 z^7 a^{-3} -9 z^7 a^{-5} -16 z^7 a^{-7} +5 z^7 a^{-9} +2 z^7 a^{-11} -7 z^7 a^{-13} +z^6 a^{-2} -15 z^6 a^{-4} -28 z^6 a^{-6} +19 z^6 a^{-8} +65 z^6 a^{-10} +34 z^6 a^{-12} -8 z^5 a^{-3} +4 z^5 a^{-5} +21 z^5 a^{-7} +18 z^5 a^{-9} +24 z^5 a^{-11} +15 z^5 a^{-13} -3 z^4 a^{-2} +15 z^4 a^{-4} +37 z^4 a^{-6} -6 z^4 a^{-8} -55 z^4 a^{-10} -30 z^4 a^{-12} +4 z^3 a^{-3} -3 z^3 a^{-5} -11 z^3 a^{-7} -18 z^3 a^{-9} -27 z^3 a^{-11} -13 z^3 a^{-13} +2 z^2 a^{-2} -12 z^2 a^{-4} -23 z^2 a^{-6} -3 z^2 a^{-8} +16 z^2 a^{-10} +10 z^2 a^{-12} +2 z a^{-7} +4 z a^{-9} +6 z a^{-11} +4 z a^{-13} +4 a^{-4} +5 a^{-6} +2 a^{-8} - a^{-10} - a^{-12} }[/math] |
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