K13n4092
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Polynomial invariants
| Jones polynomial | Data:K13n4092/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^2+16 t-25+16 t^{-1} -3 t^{-2} }[/math] |
| Conway polynomial | Data:K13n4092/Conway Polynomial |
| Determinant | 63 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^{-6} -2 z^4 a^{-8} +z^2 a^{-2} +3 z^2 a^{-4} +z^2 a^{-6} -4 z^2 a^{-8} +3 z^2 a^{-10} +2 a^{-4} + a^{-6} -4 a^{-8} +3 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-9} +2 z^{11} a^{-11} +5 z^{10} a^{-8} +8 z^{10} a^{-10} +3 z^{10} a^{-12} +5 z^9 a^{-7} -4 z^9 a^{-9} -8 z^9 a^{-11} +z^9 a^{-13} +3 z^8 a^{-6} -25 z^8 a^{-8} -47 z^8 a^{-10} -19 z^8 a^{-12} +z^7 a^{-5} -23 z^7 a^{-7} -20 z^7 a^{-9} -2 z^7 a^{-11} -6 z^7 a^{-13} -10 z^6 a^{-6} +37 z^6 a^{-8} +86 z^6 a^{-10} +39 z^6 a^{-12} +30 z^5 a^{-7} +50 z^5 a^{-9} +32 z^5 a^{-11} +12 z^5 a^{-13} +4 z^4 a^{-4} +6 z^4 a^{-6} -28 z^4 a^{-8} -60 z^4 a^{-10} -30 z^4 a^{-12} +2 z^3 a^{-3} -4 z^3 a^{-5} -19 z^3 a^{-7} -33 z^3 a^{-9} -30 z^3 a^{-11} -10 z^3 a^{-13} +z^2 a^{-2} -6 z^2 a^{-4} -2 z^2 a^{-6} +16 z^2 a^{-8} +18 z^2 a^{-10} +7 z^2 a^{-12} +5 z a^{-7} +9 z a^{-9} +7 z a^{-11} +3 z a^{-13} +2 a^{-4} - a^{-6} -4 a^{-8} -3 a^{-10} - a^{-12} }[/math] |
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