K13n12
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Polynomial invariants
| Jones polynomial | Data:K13n12/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+9 t^3-17 t^2+23 t-25+23 t^{-1} -17 t^{-2} +9 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n12/Conway Polynomial |
| Determinant | 127 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} -z^8 a^{-8} +z^6 a^{-4} -5 z^6 a^{-6} -4 z^6 a^{-8} +z^6 a^{-10} +5 z^4 a^{-4} -9 z^4 a^{-6} -3 z^4 a^{-8} +4 z^4 a^{-10} +8 z^2 a^{-4} -9 z^2 a^{-6} +2 z^2 a^{-8} +4 z^2 a^{-10} -z^2 a^{-12} +4 a^{-4} -5 a^{-6} +2 a^{-8} + a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +2 z^{10} a^{-6} +6 z^{10} a^{-8} +4 z^{10} a^{-10} +2 z^9 a^{-5} +3 z^9 a^{-7} +8 z^9 a^{-9} +7 z^9 a^{-11} +z^8 a^{-4} -4 z^8 a^{-6} -13 z^8 a^{-8} -z^8 a^{-10} +7 z^8 a^{-12} -9 z^7 a^{-5} -19 z^7 a^{-7} -24 z^7 a^{-9} -10 z^7 a^{-11} +4 z^7 a^{-13} -6 z^6 a^{-4} -10 z^6 a^{-6} -6 z^6 a^{-8} -11 z^6 a^{-10} -8 z^6 a^{-12} +z^6 a^{-14} +12 z^5 a^{-5} +16 z^5 a^{-7} +3 z^5 a^{-9} +z^5 a^{-13} +13 z^4 a^{-4} +29 z^4 a^{-6} +18 z^4 a^{-8} -3 z^4 a^{-10} +z^4 a^{-12} +6 z^4 a^{-14} -3 z^3 a^{-5} +5 z^3 a^{-7} +14 z^3 a^{-9} +2 z^3 a^{-11} -z^3 a^{-13} +3 z^3 a^{-15} -12 z^2 a^{-4} -21 z^2 a^{-6} -8 z^2 a^{-8} +7 z^2 a^{-10} +3 z^2 a^{-12} -3 z^2 a^{-14} -2 z a^{-5} -5 z a^{-7} -6 z a^{-9} -2 z a^{-11} -z a^{-15} +4 a^{-4} +5 a^{-6} +2 a^{-8} - a^{-10} - a^{-12} }[/math] |
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