K13n3133
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Polynomial invariants
| Jones polynomial | Data:K13n3133/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+10 t^3-20 t^2+28 t-31+28 t^{-1} -20 t^{-2} +10 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n3133/Conway Polynomial |
| Determinant | 151 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} -z^8 a^{-8} +z^6 a^{-4} -4 z^6 a^{-6} -4 z^6 a^{-8} +z^6 a^{-10} +4 z^4 a^{-4} -4 z^4 a^{-6} -4 z^4 a^{-8} +4 z^4 a^{-10} +5 z^2 a^{-4} -z^2 a^{-6} -z^2 a^{-8} +4 z^2 a^{-10} -z^2 a^{-12} +2 a^{-4} - a^{-6} + a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-7} +2 z^{11} a^{-9} +4 z^{10} a^{-6} +11 z^{10} a^{-8} +7 z^{10} a^{-10} +3 z^9 a^{-5} +3 z^9 a^{-7} +10 z^9 a^{-9} +10 z^9 a^{-11} +z^8 a^{-4} -13 z^8 a^{-6} -33 z^8 a^{-8} -11 z^8 a^{-10} +8 z^8 a^{-12} -13 z^7 a^{-5} -32 z^7 a^{-7} -43 z^7 a^{-9} -20 z^7 a^{-11} +4 z^7 a^{-13} -5 z^6 a^{-4} +6 z^6 a^{-6} +20 z^6 a^{-8} -8 z^6 a^{-12} +z^6 a^{-14} +18 z^5 a^{-5} +41 z^5 a^{-7} +34 z^5 a^{-9} +14 z^5 a^{-11} +3 z^5 a^{-13} +9 z^4 a^{-4} +11 z^4 a^{-6} +2 z^4 a^{-8} -8 z^4 a^{-10} -2 z^4 a^{-12} +6 z^4 a^{-14} -8 z^3 a^{-5} -13 z^3 a^{-7} -8 z^3 a^{-9} -10 z^3 a^{-11} -4 z^3 a^{-13} +3 z^3 a^{-15} -7 z^2 a^{-4} -7 z^2 a^{-6} -z^2 a^{-8} +6 z^2 a^{-10} +5 z^2 a^{-12} -2 z^2 a^{-14} +z a^{-7} +2 z a^{-11} +2 z a^{-13} -z a^{-15} +2 a^{-4} + a^{-6} - a^{-10} - a^{-12} }[/math] |
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