K13n212
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Polynomial invariants
| Jones polynomial | Data:K13n212/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+14 t^2-38 t+53-38 t^{-1} +14 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n212/Conway Polynomial |
| Determinant | 161 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^6 a^{-2} -6 z^4 a^{-2} +3 z^4 a^{-4} +5 z^4-4 a^2 z^2-9 z^2 a^{-2} +5 z^2 a^{-4} -z^2 a^{-6} +9 z^2+a^4-3 a^2-4 a^{-2} +3 a^{-4} - a^{-6} +5 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +12 z^{10} a^{-2} +6 z^{10} a^{-4} +6 z^{10}+6 a z^9+11 z^9 a^{-1} +12 z^9 a^{-3} +7 z^9 a^{-5} +2 a^2 z^8-28 z^8 a^{-2} -8 z^8 a^{-4} +4 z^8 a^{-6} -14 z^8-21 a z^7-55 z^7 a^{-1} -54 z^7 a^{-3} -19 z^7 a^{-5} +z^7 a^{-7} -3 a^2 z^6+z^6 a^{-2} -19 z^6 a^{-4} -12 z^6 a^{-6} +5 z^6+4 a^3 z^5+41 a z^5+79 z^5 a^{-1} +56 z^5 a^{-3} +11 z^5 a^{-5} -3 z^5 a^{-7} +a^4 z^4+11 a^2 z^4+32 z^4 a^{-2} +26 z^4 a^{-4} +11 z^4 a^{-6} +27 z^4-6 a^3 z^3-27 a z^3-39 z^3 a^{-1} -24 z^3 a^{-3} -3 z^3 a^{-5} +3 z^3 a^{-7} -2 a^4 z^2-12 a^2 z^2-21 z^2 a^{-2} -13 z^2 a^{-4} -5 z^2 a^{-6} -23 z^2+2 a^3 z+5 a z+6 z a^{-1} +4 z a^{-3} -z a^{-7} +a^4+3 a^2+4 a^{-2} +3 a^{-4} + a^{-6} +5 }[/math] |
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