K13n3432
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Polynomial invariants
| Jones polynomial | Data:K13n3432/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 4 t^3-13 t^2+24 t-29+24 t^{-1} -13 t^{-2} +4 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3432/Conway Polynomial |
| Determinant | 111 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} +3 z^6 a^{-8} +3 z^4 a^{-6} +12 z^4 a^{-8} -4 z^4 a^{-10} +3 z^2 a^{-6} +14 z^2 a^{-8} -10 z^2 a^{-10} +z^2 a^{-12} + a^{-6} +4 a^{-8} -5 a^{-10} + a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-10} +z^{10} a^{-12} +4 z^9 a^{-9} +6 z^9 a^{-11} +2 z^9 a^{-13} +6 z^8 a^{-8} +12 z^8 a^{-10} +7 z^8 a^{-12} +z^8 a^{-14} +3 z^7 a^{-7} +2 z^7 a^{-9} +3 z^7 a^{-11} +4 z^7 a^{-13} +z^6 a^{-6} -15 z^6 a^{-8} -30 z^6 a^{-10} -8 z^6 a^{-12} +6 z^6 a^{-14} -6 z^5 a^{-7} -25 z^5 a^{-9} -29 z^5 a^{-11} -5 z^5 a^{-13} +5 z^5 a^{-15} -3 z^4 a^{-6} +16 z^4 a^{-8} +22 z^4 a^{-10} -2 z^4 a^{-12} -4 z^4 a^{-14} +z^4 a^{-16} +3 z^3 a^{-7} +24 z^3 a^{-9} +26 z^3 a^{-11} +3 z^3 a^{-13} -2 z^3 a^{-15} +3 z^2 a^{-6} -13 z^2 a^{-8} -14 z^2 a^{-10} +2 z^2 a^{-12} -7 z a^{-9} -7 z a^{-11} -z a^{-13} -z a^{-15} - a^{-6} +4 a^{-8} +5 a^{-10} + a^{-12} }[/math] |
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