K13a2794
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Polynomial invariants
| Jones polynomial | Data:K13a2794/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^4-14 t^3+34 t^2-51 t+57-51 t^{-1} +34 t^{-2} -14 t^{-3} +3 t^{-4} }[/math] |
| Conway polynomial | Data:K13a2794/Conway Polynomial |
| Determinant | 261 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} +2 z^8 a^{-6} -z^6 a^{-2} +4 z^6 a^{-4} +10 z^6 a^{-6} -3 z^6 a^{-8} -4 z^4 a^{-2} +6 z^4 a^{-4} +18 z^4 a^{-6} -11 z^4 a^{-8} +z^4 a^{-10} -4 z^2 a^{-2} +6 z^2 a^{-4} +14 z^2 a^{-6} -11 z^2 a^{-8} +2 z^2 a^{-10} - a^{-2} +2 a^{-4} +3 a^{-6} -3 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{12} a^{-6} +2 z^{12} a^{-8} +6 z^{11} a^{-5} +13 z^{11} a^{-7} +7 z^{11} a^{-9} +7 z^{10} a^{-4} +11 z^{10} a^{-6} +15 z^{10} a^{-8} +11 z^{10} a^{-10} +5 z^9 a^{-3} -15 z^9 a^{-5} -37 z^9 a^{-7} -5 z^9 a^{-9} +12 z^9 a^{-11} +3 z^8 a^{-2} -23 z^8 a^{-4} -62 z^8 a^{-6} -63 z^8 a^{-8} -17 z^8 a^{-10} +10 z^8 a^{-12} +z^7 a^{-1} -15 z^7 a^{-3} +8 z^7 a^{-5} +36 z^7 a^{-7} -12 z^7 a^{-9} -19 z^7 a^{-11} +5 z^7 a^{-13} -11 z^6 a^{-2} +26 z^6 a^{-4} +113 z^6 a^{-6} +101 z^6 a^{-8} +5 z^6 a^{-10} -19 z^6 a^{-12} +z^6 a^{-14} -4 z^5 a^{-1} +9 z^5 a^{-3} +9 z^5 a^{-5} +6 z^5 a^{-7} +19 z^5 a^{-9} -9 z^5 a^{-13} +11 z^4 a^{-2} -14 z^4 a^{-4} -85 z^4 a^{-6} -70 z^4 a^{-8} -2 z^4 a^{-10} +7 z^4 a^{-12} -z^4 a^{-14} +4 z^3 a^{-1} -11 z^3 a^{-5} -17 z^3 a^{-7} -8 z^3 a^{-9} +5 z^3 a^{-11} +3 z^3 a^{-13} -5 z^2 a^{-2} -2 z^2 a^{-4} +27 z^2 a^{-6} +24 z^2 a^{-8} -z a^{-1} -z a^{-3} +2 z a^{-5} +6 z a^{-7} +z a^{-9} -2 z a^{-11} +z a^{-13} + a^{-2} +2 a^{-4} -3 a^{-6} -3 a^{-8} }[/math] |
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