K13n4125
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Polynomial invariants
| Jones polynomial | Data:K13n4125/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+19 t^2-43 t+55-43 t^{-1} +19 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n4125/Conway Polynomial |
| Determinant | 185 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-6} -2 z^6 a^{-8} +2 z^4 a^{-4} +z^4 a^{-6} -5 z^4 a^{-8} +3 z^4 a^{-10} +3 z^2 a^{-4} +5 z^2 a^{-6} -6 z^2 a^{-8} +5 z^2 a^{-10} -z^2 a^{-12} + a^{-4} +2 a^{-6} -3 a^{-8} +2 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-9} +2 z^{11} a^{-11} +5 z^{10} a^{-8} +11 z^{10} a^{-10} +6 z^{10} a^{-12} +5 z^9 a^{-7} +9 z^9 a^{-9} +11 z^9 a^{-11} +7 z^9 a^{-13} +3 z^8 a^{-6} -z^8 a^{-8} -16 z^8 a^{-10} -8 z^8 a^{-12} +4 z^8 a^{-14} +z^7 a^{-5} +2 z^7 a^{-7} -15 z^7 a^{-9} -36 z^7 a^{-11} -19 z^7 a^{-13} +z^7 a^{-15} +6 z^6 a^{-6} +5 z^6 a^{-8} -11 z^6 a^{-12} -12 z^6 a^{-14} +5 z^5 a^{-5} -4 z^5 a^{-7} -2 z^5 a^{-9} +23 z^5 a^{-11} +13 z^5 a^{-13} -3 z^5 a^{-15} +3 z^4 a^{-4} -8 z^4 a^{-6} -20 z^4 a^{-8} -7 z^4 a^{-10} +13 z^4 a^{-12} +11 z^4 a^{-14} -2 z^3 a^{-5} -z^3 a^{-7} -5 z^3 a^{-11} -z^3 a^{-13} +3 z^3 a^{-15} -3 z^2 a^{-4} +7 z^2 a^{-6} +14 z^2 a^{-8} +8 z^2 a^{-10} +z^2 a^{-12} -3 z^2 a^{-14} +2 z a^{-7} +z a^{-9} +z a^{-11} +z a^{-13} -z a^{-15} + a^{-4} -2 a^{-6} -3 a^{-8} -2 a^{-10} - a^{-12} }[/math] |
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