K13n3666
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Polynomial invariants
| Jones polynomial | Data:K13n3666/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -4 t^3+22 t^2-49 t+63-49 t^{-1} +22 t^{-2} -4 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3666/Conway Polynomial |
| Determinant | 213 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-6} -3 z^6 a^{-8} +2 z^4 a^{-4} +2 z^4 a^{-6} -10 z^4 a^{-8} +4 z^4 a^{-10} +3 z^2 a^{-4} +8 z^2 a^{-6} -15 z^2 a^{-8} +8 z^2 a^{-10} -z^2 a^{-12} + a^{-4} +5 a^{-6} -9 a^{-8} +5 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-9} +3 z^{11} a^{-11} +10 z^{10} a^{-8} +19 z^{10} a^{-10} +9 z^{10} a^{-12} +10 z^9 a^{-7} +20 z^9 a^{-9} +20 z^9 a^{-11} +10 z^9 a^{-13} +4 z^8 a^{-6} -22 z^8 a^{-8} -43 z^8 a^{-10} -12 z^8 a^{-12} +5 z^8 a^{-14} +z^7 a^{-5} -25 z^7 a^{-7} -84 z^7 a^{-9} -86 z^7 a^{-11} -27 z^7 a^{-13} +z^7 a^{-15} +2 z^6 a^{-6} +30 z^6 a^{-8} +18 z^6 a^{-10} -23 z^6 a^{-12} -13 z^6 a^{-14} +5 z^5 a^{-5} +46 z^5 a^{-7} +119 z^5 a^{-9} +100 z^5 a^{-11} +20 z^5 a^{-13} -2 z^5 a^{-15} +3 z^4 a^{-4} -6 z^4 a^{-6} -28 z^4 a^{-8} +3 z^4 a^{-10} +32 z^4 a^{-12} +10 z^4 a^{-14} -5 z^3 a^{-5} -38 z^3 a^{-7} -80 z^3 a^{-9} -56 z^3 a^{-11} -8 z^3 a^{-13} +z^3 a^{-15} -4 z^2 a^{-4} +9 z^2 a^{-6} +23 z^2 a^{-8} +4 z^2 a^{-10} -9 z^2 a^{-12} -3 z^2 a^{-14} +z a^{-5} +13 z a^{-7} +23 z a^{-9} +14 z a^{-11} +3 z a^{-13} + a^{-4} -5 a^{-6} -9 a^{-8} -5 a^{-10} - a^{-12} }[/math] |
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