K13n3749
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Polynomial invariants
| Jones polynomial | Data:K13n3749/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-9 t^3+24 t^2-41 t+49-41 t^{-1} +24 t^{-2} -9 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n3749/Conway Polynomial |
| Determinant | 201 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^8 a^{-6} -2 z^6 a^{-4} +12 z^6 a^{-6} -3 z^6 a^{-8} -7 z^4 a^{-4} +29 z^4 a^{-6} -13 z^4 a^{-8} +z^4 a^{-10} -8 z^2 a^{-4} +32 z^2 a^{-6} -21 z^2 a^{-8} +3 z^2 a^{-10} -3 a^{-4} +13 a^{-6} -12 a^{-8} +3 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-7} +2 z^{11} a^{-9} +6 z^{10} a^{-6} +13 z^{10} a^{-8} +7 z^{10} a^{-10} +5 z^9 a^{-5} +12 z^9 a^{-7} +17 z^9 a^{-9} +10 z^9 a^{-11} +z^8 a^{-4} -14 z^8 a^{-6} -25 z^8 a^{-8} -2 z^8 a^{-10} +8 z^8 a^{-12} -11 z^7 a^{-5} -40 z^7 a^{-7} -50 z^7 a^{-9} -17 z^7 a^{-11} +4 z^7 a^{-13} +6 z^6 a^{-4} +36 z^6 a^{-6} +32 z^6 a^{-8} -14 z^6 a^{-10} -15 z^6 a^{-12} +z^6 a^{-14} +3 z^5 a^{-3} +26 z^5 a^{-5} +69 z^5 a^{-7} +63 z^5 a^{-9} +9 z^5 a^{-11} -8 z^5 a^{-13} -14 z^4 a^{-4} -52 z^4 a^{-6} -40 z^4 a^{-8} +8 z^4 a^{-10} +8 z^4 a^{-12} -2 z^4 a^{-14} -6 z^3 a^{-3} -31 z^3 a^{-5} -66 z^3 a^{-7} -51 z^3 a^{-9} -5 z^3 a^{-11} +5 z^3 a^{-13} +10 z^2 a^{-4} +38 z^2 a^{-6} +32 z^2 a^{-8} +2 z^2 a^{-10} -z^2 a^{-12} +z^2 a^{-14} +3 z a^{-3} +12 z a^{-5} +25 z a^{-7} +19 z a^{-9} +2 z a^{-11} -z a^{-13} -3 a^{-4} -13 a^{-6} -12 a^{-8} -3 a^{-10} }[/math] |
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