K13n1320
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Polynomial invariants
| Jones polynomial | Data:K13n1320/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-t^4-2 t^3+8 t^2-13 t+15-13 t^{-1} +8 t^{-2} -2 t^{-3} - t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n1320/Conway Polynomial |
| Determinant | 57 |
| Signature | 8 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-10} +10 z^8 a^{-10} -z^8 a^{-12} +36 z^6 a^{-10} -11 z^6 a^{-12} +59 z^4 a^{-10} -37 z^4 a^{-12} +4 z^4 a^{-14} +45 z^2 a^{-10} -48 z^2 a^{-12} +14 z^2 a^{-14} -z^2 a^{-16} +13 a^{-10} -21 a^{-12} +11 a^{-14} -2 a^{-16} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-10} +z^{10} a^{-12} +z^{10} a^{-14} +z^{10} a^{-16} +z^9 a^{-11} +2 z^9 a^{-13} +4 z^9 a^{-15} +3 z^9 a^{-17} -10 z^8 a^{-10} -12 z^8 a^{-12} -6 z^8 a^{-14} +4 z^8 a^{-18} -11 z^7 a^{-11} -19 z^7 a^{-13} -21 z^7 a^{-15} -9 z^7 a^{-17} +4 z^7 a^{-19} +36 z^6 a^{-10} +48 z^6 a^{-12} +17 z^6 a^{-14} -8 z^6 a^{-16} -10 z^6 a^{-18} +3 z^6 a^{-20} +37 z^5 a^{-11} +65 z^5 a^{-13} +50 z^5 a^{-15} +12 z^5 a^{-17} -9 z^5 a^{-19} +z^5 a^{-21} -59 z^4 a^{-10} -83 z^4 a^{-12} -20 z^4 a^{-14} +19 z^4 a^{-16} +8 z^4 a^{-18} -7 z^4 a^{-20} -48 z^3 a^{-11} -86 z^3 a^{-13} -48 z^3 a^{-15} -4 z^3 a^{-17} +4 z^3 a^{-19} -2 z^3 a^{-21} +45 z^2 a^{-10} +65 z^2 a^{-12} +17 z^2 a^{-14} -6 z^2 a^{-16} -z^2 a^{-18} +2 z^2 a^{-20} +21 z a^{-11} +36 z a^{-13} +18 z a^{-15} +2 z a^{-17} -z a^{-19} -13 a^{-10} -21 a^{-12} -11 a^{-14} -2 a^{-16} }[/math] |
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