K13n3280
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Polynomial invariants
| Jones polynomial | Data:K13n3280/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+11 t^2-14 t+15-14 t^{-1} +11 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3280/Conway Polynomial |
| Determinant | 77 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +6 z^6 a^{-2} -2 z^6 a^{-4} -z^6+13 z^4 a^{-2} -9 z^4 a^{-4} +z^4 a^{-6} -4 z^4+13 z^2 a^{-2} -11 z^2 a^{-4} +3 z^2 a^{-6} -4 z^2+5 a^{-2} -4 a^{-4} + a^{-6} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +8 z^{10} a^{-2} +5 z^{10} a^{-4} +3 z^{10}+a z^9-8 z^9 a^{-1} -3 z^9 a^{-3} +6 z^9 a^{-5} -45 z^8 a^{-2} -21 z^8 a^{-4} +5 z^8 a^{-6} -19 z^8-6 a z^7-20 z^7 a^{-3} -23 z^7 a^{-5} +3 z^7 a^{-7} +82 z^6 a^{-2} +26 z^6 a^{-4} -15 z^6 a^{-6} +z^6 a^{-8} +40 z^6+12 a z^5+27 z^5 a^{-1} +45 z^5 a^{-3} +24 z^5 a^{-5} -6 z^5 a^{-7} -61 z^4 a^{-2} -22 z^4 a^{-4} +8 z^4 a^{-6} +z^4 a^{-8} -32 z^4-9 a z^3-26 z^3 a^{-1} -30 z^3 a^{-3} -14 z^3 a^{-5} +2 z^3 a^{-7} +3 z^3 a^{-9} +23 z^2 a^{-2} +16 z^2 a^{-4} -z^2 a^{-8} +z^2 a^{-10} +9 z^2+2 a z+6 z a^{-1} +8 z a^{-3} +4 z a^{-5} -z a^{-7} -z a^{-9} -5 a^{-2} -4 a^{-4} - a^{-6} -1 }[/math] |
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