K13n1224
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Polynomial invariants
| Jones polynomial | Data:K13n1224/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+7 t^3-13 t^2+20 t-23+20 t^{-1} -13 t^{-2} +7 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n1224/Conway Polynomial |
| Determinant | 107 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -z^8 a^{-4} -5 z^6 a^{-2} -6 z^6 a^{-4} +z^6 a^{-6} +z^6-8 z^4 a^{-2} -13 z^4 a^{-4} +6 z^4 a^{-6} +4 z^4-4 z^2 a^{-2} -12 z^2 a^{-4} +11 z^2 a^{-6} -z^2 a^{-8} +5 z^2-5 a^{-4} +6 a^{-6} -2 a^{-8} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +3 z^{10} a^{-2} +5 z^{10} a^{-4} +2 z^{10} a^{-6} +5 z^9 a^{-1} +3 z^9 a^{-3} -z^9 a^{-5} +z^9 a^{-7} -4 z^8 a^{-2} -19 z^8 a^{-4} -10 z^8 a^{-6} +5 z^8+3 a z^7-13 z^7 a^{-1} -15 z^7 a^{-3} -2 z^7 a^{-5} -3 z^7 a^{-7} +a^2 z^6-4 z^6 a^{-2} +39 z^6 a^{-4} +31 z^6 a^{-6} +3 z^6 a^{-8} -14 z^6-8 a z^5+12 z^5 a^{-1} +25 z^5 a^{-3} +14 z^5 a^{-5} +10 z^5 a^{-7} +z^5 a^{-9} -3 a^2 z^4+11 z^4 a^{-2} -38 z^4 a^{-4} -42 z^4 a^{-6} -8 z^4 a^{-8} +12 z^4+4 a z^3-9 z^3 a^{-1} -14 z^3 a^{-3} -12 z^3 a^{-5} -14 z^3 a^{-7} -3 z^3 a^{-9} +2 a^2 z^2-7 z^2 a^{-2} +23 z^2 a^{-4} +26 z^2 a^{-6} +6 z^2 a^{-8} -8 z^2+2 z a^{-1} +3 z a^{-3} +3 z a^{-5} +4 z a^{-7} +2 z a^{-9} -5 a^{-4} -6 a^{-6} -2 a^{-8} +2 }[/math] |
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