K13n3845
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Polynomial invariants
| Jones polynomial | Data:K13n3845/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+6 t^2-9 t+11-9 t^{-1} +6 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3845/Conway Polynomial |
| Determinant | 45 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} +z^8 a^{-6} +z^6 a^{-2} -9 z^6 a^{-4} +7 z^6 a^{-6} -z^6 a^{-8} +6 z^4 a^{-2} -27 z^4 a^{-4} +19 z^4 a^{-6} -4 z^4 a^{-8} +12 z^2 a^{-2} -33 z^2 a^{-4} +23 z^2 a^{-6} -5 z^2 a^{-8} +8 a^{-2} -15 a^{-4} +10 a^{-6} -2 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +z^{10} a^{-2} +3 z^{10} a^{-4} +3 z^{10} a^{-6} +z^{10} a^{-8} -8 z^9 a^{-3} -6 z^9 a^{-5} +5 z^9 a^{-7} +3 z^9 a^{-9} -9 z^8 a^{-2} -28 z^8 a^{-4} -24 z^8 a^{-6} -z^8 a^{-8} +4 z^8 a^{-10} +19 z^7 a^{-3} -34 z^7 a^{-7} -11 z^7 a^{-9} +4 z^7 a^{-11} +29 z^6 a^{-2} +87 z^6 a^{-4} +63 z^6 a^{-6} -9 z^6 a^{-8} -11 z^6 a^{-10} +3 z^6 a^{-12} -12 z^5 a^{-3} +43 z^5 a^{-5} +83 z^5 a^{-7} +18 z^5 a^{-9} -9 z^5 a^{-11} +z^5 a^{-13} -43 z^4 a^{-2} -116 z^4 a^{-4} -65 z^4 a^{-6} +25 z^4 a^{-8} +10 z^4 a^{-10} -7 z^4 a^{-12} -8 z^3 a^{-3} -66 z^3 a^{-5} -76 z^3 a^{-7} -13 z^3 a^{-9} +3 z^3 a^{-11} -2 z^3 a^{-13} +30 z^2 a^{-2} +67 z^2 a^{-4} +32 z^2 a^{-6} -10 z^2 a^{-8} -3 z^2 a^{-10} +2 z^2 a^{-12} +8 z a^{-3} +26 z a^{-5} +25 z a^{-7} +7 z a^{-9} -8 a^{-2} -15 a^{-4} -10 a^{-6} -2 a^{-8} }[/math] |
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