K13n3467
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Polynomial invariants
| Jones polynomial | Data:K13n3467/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+16 t^2-28 t+33-28 t^{-1} +16 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3467/Conway Polynomial |
| Determinant | 133 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-6} -z^6 a^{-4} +6 z^6 a^{-6} -2 z^6 a^{-8} -3 z^4 a^{-4} +16 z^4 a^{-6} -8 z^4 a^{-8} +z^4 a^{-10} -3 z^2 a^{-4} +20 z^2 a^{-6} -12 z^2 a^{-8} +2 z^2 a^{-10} -2 a^{-4} +9 a^{-6} -7 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-7} +2 z^{11} a^{-9} +4 z^{10} a^{-6} +10 z^{10} a^{-8} +6 z^{10} a^{-10} +2 z^9 a^{-5} -2 z^9 a^{-7} +4 z^9 a^{-9} +8 z^9 a^{-11} -20 z^8 a^{-6} -43 z^8 a^{-8} -16 z^8 a^{-10} +7 z^8 a^{-12} -7 z^7 a^{-5} -13 z^7 a^{-7} -32 z^7 a^{-9} -22 z^7 a^{-11} +4 z^7 a^{-13} +4 z^6 a^{-4} +52 z^6 a^{-6} +83 z^6 a^{-8} +16 z^6 a^{-10} -18 z^6 a^{-12} +z^6 a^{-14} +z^5 a^{-3} +18 z^5 a^{-5} +49 z^5 a^{-7} +59 z^5 a^{-9} +17 z^5 a^{-11} -10 z^5 a^{-13} -10 z^4 a^{-4} -62 z^4 a^{-6} -72 z^4 a^{-8} -9 z^4 a^{-10} +9 z^4 a^{-12} -2 z^4 a^{-14} -3 z^3 a^{-3} -23 z^3 a^{-5} -48 z^3 a^{-7} -36 z^3 a^{-9} -4 z^3 a^{-11} +4 z^3 a^{-13} +6 z^2 a^{-4} +35 z^2 a^{-6} +35 z^2 a^{-8} +5 z^2 a^{-10} -z^2 a^{-12} +2 z a^{-3} +8 z a^{-5} +15 z a^{-7} +7 z a^{-9} -2 z a^{-11} -2 a^{-4} -9 a^{-6} -7 a^{-8} - a^{-10} }[/math] |
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