K13a1554
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Polynomial invariants
| Jones polynomial | Data:K13a1554/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -8 t^3+42 t^2-93 t+119-93 t^{-1} +42 t^{-2} -8 t^{-3} }[/math] |
| Conway polynomial | Data:K13a1554/Conway Polynomial |
| Determinant | 405 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -4 z^6 a^{-6} -3 z^6 a^{-8} +z^4 a^{-2} +2 z^4 a^{-4} -8 z^4 a^{-6} -5 z^4 a^{-8} +4 z^4 a^{-10} +z^2 a^{-2} +6 z^2 a^{-4} -5 z^2 a^{-6} -4 z^2 a^{-8} +6 z^2 a^{-10} -z^2 a^{-12} +3 a^{-4} - a^{-6} -3 a^{-8} +3 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{12} a^{-8} +3 z^{12} a^{-10} +11 z^{11} a^{-7} +22 z^{11} a^{-9} +11 z^{11} a^{-11} +17 z^{10} a^{-6} +36 z^{10} a^{-8} +35 z^{10} a^{-10} +16 z^{10} a^{-12} +16 z^9 a^{-5} +10 z^9 a^{-7} -14 z^9 a^{-9} +4 z^9 a^{-11} +12 z^9 a^{-13} +10 z^8 a^{-4} -20 z^8 a^{-6} -93 z^8 a^{-8} -99 z^8 a^{-10} -31 z^8 a^{-12} +5 z^8 a^{-14} +4 z^7 a^{-3} -28 z^7 a^{-5} -59 z^7 a^{-7} -61 z^7 a^{-9} -63 z^7 a^{-11} -28 z^7 a^{-13} +z^7 a^{-15} +z^6 a^{-2} -18 z^6 a^{-4} -2 z^6 a^{-6} +83 z^6 a^{-8} +90 z^6 a^{-10} +13 z^6 a^{-12} -11 z^6 a^{-14} -6 z^5 a^{-3} +24 z^5 a^{-5} +66 z^5 a^{-7} +86 z^5 a^{-9} +75 z^5 a^{-11} +23 z^5 a^{-13} -2 z^5 a^{-15} -2 z^4 a^{-2} +17 z^4 a^{-4} +20 z^4 a^{-6} -39 z^4 a^{-8} -48 z^4 a^{-10} +8 z^4 a^{-14} +2 z^3 a^{-3} -9 z^3 a^{-5} -29 z^3 a^{-7} -47 z^3 a^{-9} -40 z^3 a^{-11} -10 z^3 a^{-13} +z^3 a^{-15} +z^2 a^{-2} -11 z^2 a^{-4} -11 z^2 a^{-6} +14 z^2 a^{-8} +16 z^2 a^{-10} +z^2 a^{-12} -2 z^2 a^{-14} +6 z a^{-7} +12 z a^{-9} +9 z a^{-11} +3 z a^{-13} +3 a^{-4} + a^{-6} -3 a^{-8} -3 a^{-10} - a^{-12} }[/math] |
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