K13a645
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Polynomial invariants
| Jones polynomial | Data:K13a645/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -6 t^3+29 t^2-57 t+69-57 t^{-1} +29 t^{-2} -6 t^{-3} }[/math] |
| Conway polynomial | Data:K13a645/Conway Polynomial |
| Determinant | 253 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -3 z^6 a^{-6} -2 z^6 a^{-8} +z^4 a^{-2} -8 z^4 a^{-6} -3 z^4 a^{-8} +3 z^4 a^{-10} +2 z^2 a^{-2} +5 z^2 a^{-4} -7 z^2 a^{-6} +z^2 a^{-8} +5 z^2 a^{-10} -z^2 a^{-12} +3 a^{-4} -3 a^{-6} + a^{-8} + 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} +7 z^{10} a^{-6} +14 z^{10} a^{-8} +14 z^{10} a^{-10} +7 z^{10} a^{-12} +8 z^9 a^{-5} +5 z^9 a^{-7} -5 z^9 a^{-9} +5 z^9 a^{-11} +7 z^9 a^{-13} +6 z^8 a^{-4} -9 z^8 a^{-6} -37 z^8 a^{-8} -37 z^8 a^{-10} -11 z^8 a^{-12} +4 z^8 a^{-14} +3 z^7 a^{-3} -19 z^7 a^{-5} -29 z^7 a^{-7} -19 z^7 a^{-9} -31 z^7 a^{-11} -18 z^7 a^{-13} +z^7 a^{-15} +z^6 a^{-2} -15 z^6 a^{-4} -5 z^6 a^{-6} +36 z^6 a^{-8} +31 z^6 a^{-10} -6 z^6 a^{-12} -12 z^6 a^{-14} -7 z^5 a^{-3} +21 z^5 a^{-5} +42 z^5 a^{-7} +25 z^5 a^{-9} +25 z^5 a^{-11} +11 z^5 a^{-13} -3 z^5 a^{-15} -3 z^4 a^{-2} +15 z^4 a^{-4} +24 z^4 a^{-6} -8 z^4 a^{-8} -17 z^4 a^{-10} +8 z^4 a^{-12} +11 z^4 a^{-14} +3 z^3 a^{-3} -12 z^3 a^{-5} -19 z^3 a^{-7} -7 z^3 a^{-9} -7 z^3 a^{-11} -z^3 a^{-13} +3 z^3 a^{-15} +2 z^2 a^{-2} -11 z^2 a^{-4} -17 z^2 a^{-6} -z^2 a^{-8} +6 z^2 a^{-10} -3 z^2 a^{-14} +z a^{-5} +3 z a^{-7} -z a^{-11} -z a^{-15} +3 a^{-4} +3 a^{-6} + a^{-8} - a^{-10} - a^{-12} }[/math] |
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