K13a451
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Polynomial invariants
| Jones polynomial | Data:K13a451/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^4+14 t^3-28 t^2+37 t-39+37 t^{-1} -28 t^{-2} +14 t^{-3} -3 t^{-4} }[/math] |
| Conway polynomial | Data:K13a451/Conway Polynomial |
| Determinant | 203 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} -2 z^8 a^{-8} +z^6 a^{-4} -3 z^6 a^{-6} -11 z^6 a^{-8} +3 z^6 a^{-10} +4 z^4 a^{-4} +2 z^4 a^{-6} -22 z^4 a^{-8} +13 z^4 a^{-10} -z^4 a^{-12} +4 z^2 a^{-4} +9 z^2 a^{-6} -22 z^2 a^{-8} +15 z^2 a^{-10} -3 z^2 a^{-12} + a^{-4} +5 a^{-6} -9 a^{-8} +5 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{12} a^{-8} +z^{12} a^{-10} +4 z^{11} a^{-7} +8 z^{11} a^{-9} +4 z^{11} a^{-11} +5 z^{10} a^{-6} +11 z^{10} a^{-8} +13 z^{10} a^{-10} +7 z^{10} a^{-12} +3 z^9 a^{-5} -10 z^9 a^{-7} -19 z^9 a^{-9} +2 z^9 a^{-11} +8 z^9 a^{-13} +z^8 a^{-4} -21 z^8 a^{-6} -61 z^8 a^{-8} -56 z^8 a^{-10} -9 z^8 a^{-12} +8 z^8 a^{-14} -13 z^7 a^{-5} -6 z^7 a^{-7} -7 z^7 a^{-9} -28 z^7 a^{-11} -7 z^7 a^{-13} +7 z^7 a^{-15} -5 z^6 a^{-4} +28 z^6 a^{-6} +103 z^6 a^{-8} +84 z^6 a^{-10} +3 z^6 a^{-12} -7 z^6 a^{-14} +4 z^6 a^{-16} +16 z^5 a^{-5} +24 z^5 a^{-7} +43 z^5 a^{-9} +40 z^5 a^{-11} -6 z^5 a^{-13} -10 z^5 a^{-15} +z^5 a^{-17} +8 z^4 a^{-4} -22 z^4 a^{-6} -89 z^4 a^{-8} -64 z^4 a^{-10} -4 z^4 a^{-12} -5 z^4 a^{-14} -6 z^4 a^{-16} -6 z^3 a^{-5} -19 z^3 a^{-7} -36 z^3 a^{-9} -19 z^3 a^{-11} +9 z^3 a^{-13} +4 z^3 a^{-15} -z^3 a^{-17} -5 z^2 a^{-4} +15 z^2 a^{-6} +43 z^2 a^{-8} +26 z^2 a^{-10} +6 z^2 a^{-12} +5 z^2 a^{-14} +2 z^2 a^{-16} +7 z a^{-7} +10 z a^{-9} +z a^{-11} -3 z a^{-13} -z a^{-15} + a^{-4} -5 a^{-6} -9 a^{-8} -5 a^{-10} - a^{-12} }[/math] |
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