K13a1202
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Polynomial invariants
| Jones polynomial | Data:K13a1202/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-13 t^3+38 t^2-66 t+79-66 t^{-1} +38 t^{-2} -13 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13a1202/Conway Polynomial |
| Determinant | 317 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} +z^8 a^{-6} -z^6 a^{-2} +4 z^6 a^{-4} +2 z^6 a^{-6} -2 z^6 a^{-8} -3 z^4 a^{-2} +8 z^4 a^{-4} -2 z^4 a^{-6} -4 z^4 a^{-8} +z^4 a^{-10} -2 z^2 a^{-2} +10 z^2 a^{-4} -8 z^2 a^{-6} +z^2 a^{-10} +5 a^{-4} -6 a^{-6} +2 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{12} a^{-6} +2 z^{12} a^{-8} +6 z^{11} a^{-5} +14 z^{11} a^{-7} +8 z^{11} a^{-9} +8 z^{10} a^{-4} +16 z^{10} a^{-6} +23 z^{10} a^{-8} +15 z^{10} a^{-10} +7 z^9 a^{-3} -2 z^9 a^{-5} -19 z^9 a^{-7} +7 z^9 a^{-9} +17 z^9 a^{-11} +4 z^8 a^{-2} -15 z^8 a^{-4} -50 z^8 a^{-6} -65 z^8 a^{-8} -22 z^8 a^{-10} +12 z^8 a^{-12} +z^7 a^{-1} -19 z^7 a^{-3} -23 z^7 a^{-5} -10 z^7 a^{-7} -46 z^7 a^{-9} -34 z^7 a^{-11} +5 z^7 a^{-13} -13 z^6 a^{-2} -3 z^6 a^{-4} +47 z^6 a^{-6} +65 z^6 a^{-8} +5 z^6 a^{-10} -22 z^6 a^{-12} +z^6 a^{-14} -3 z^5 a^{-1} +14 z^5 a^{-3} +29 z^5 a^{-5} +29 z^5 a^{-7} +47 z^5 a^{-9} +23 z^5 a^{-11} -7 z^5 a^{-13} +13 z^4 a^{-2} +20 z^4 a^{-4} -6 z^4 a^{-6} -24 z^4 a^{-8} +10 z^4 a^{-12} -z^4 a^{-14} +2 z^3 a^{-1} -4 z^3 a^{-3} -10 z^3 a^{-5} -6 z^3 a^{-7} -12 z^3 a^{-9} -9 z^3 a^{-11} +z^3 a^{-13} -5 z^2 a^{-2} -17 z^2 a^{-4} -14 z^2 a^{-6} +2 z^2 a^{-8} +2 z^2 a^{-10} -2 z^2 a^{-12} +z a^{-3} -2 z a^{-5} -5 z a^{-7} -z a^{-9} +z a^{-11} +5 a^{-4} +6 a^{-6} +2 a^{-8} }[/math] |
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