K13n4128
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Polynomial invariants
| Jones polynomial | Data:K13n4128/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+17 t^2-35 t+43-35 t^{-1} +17 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n4128/Conway Polynomial |
| Determinant | 153 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-6} -2 z^6 a^{-8} +2 z^4 a^{-4} -6 z^4 a^{-8} +3 z^4 a^{-10} +4 z^2 a^{-4} +3 z^2 a^{-6} -7 z^2 a^{-8} +7 z^2 a^{-10} -z^2 a^{-12} +2 a^{-4} -3 a^{-8} +4 a^{-10} -2 a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-9} +2 z^{11} a^{-11} +5 z^{10} a^{-8} +10 z^{10} a^{-10} +5 z^{10} a^{-12} +5 z^9 a^{-7} +4 z^9 a^{-9} +4 z^9 a^{-11} +5 z^9 a^{-13} +3 z^8 a^{-6} -10 z^8 a^{-8} -29 z^8 a^{-10} -13 z^8 a^{-12} +3 z^8 a^{-14} +z^7 a^{-5} -7 z^7 a^{-7} -15 z^7 a^{-9} -23 z^7 a^{-11} -15 z^7 a^{-13} +z^7 a^{-15} +19 z^6 a^{-8} +41 z^6 a^{-10} +12 z^6 a^{-12} -10 z^6 a^{-14} +3 z^5 a^{-5} +9 z^5 a^{-7} +15 z^5 a^{-9} +25 z^5 a^{-11} +12 z^5 a^{-13} -4 z^5 a^{-15} +3 z^4 a^{-4} -23 z^4 a^{-8} -45 z^4 a^{-10} -16 z^4 a^{-12} +9 z^4 a^{-14} -2 z^3 a^{-5} -2 z^3 a^{-7} -6 z^3 a^{-9} -15 z^3 a^{-11} -4 z^3 a^{-13} +5 z^3 a^{-15} -5 z^2 a^{-4} +z^2 a^{-6} +16 z^2 a^{-8} +25 z^2 a^{-10} +13 z^2 a^{-12} -2 z^2 a^{-14} -z a^{-5} -2 z a^{-7} -2 z a^{-9} +2 z a^{-11} +z a^{-13} -2 z a^{-15} +2 a^{-4} -3 a^{-8} -4 a^{-10} -2 a^{-12} }[/math] |
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