K13n3900
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Polynomial invariants
| Jones polynomial | Data:K13n3900/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^2-6 t+9-6 t^{-1} +2 t^{-2} }[/math] |
| Conway polynomial | Data:K13n3900/Conway Polynomial |
| Determinant | 25 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} -z^8+a^2 z^6+7 z^6 a^{-2} -z^6 a^{-4} -7 z^6+4 a^2 z^4+18 z^4 a^{-2} -4 z^4 a^{-4} -16 z^4+4 a^2 z^2+19 z^2 a^{-2} -6 z^2 a^{-4} -15 z^2+a^2+7 a^{-2} -3 a^{-4} -4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+2 z^{11} a^{-1} +z^{11} a^{-3} +3 a^2 z^{10}+6 z^{10} a^{-2} +4 z^{10} a^{-4} +5 z^{10}+3 a^3 z^9-3 a z^9-10 z^9 a^{-1} +z^9 a^{-3} +5 z^9 a^{-5} +a^4 z^8-18 a^2 z^8-41 z^8 a^{-2} -19 z^8 a^{-4} +3 z^8 a^{-6} -38 z^8-17 a^3 z^7-14 a z^7-3 z^7 a^{-1} -30 z^7 a^{-3} -23 z^7 a^{-5} +z^7 a^{-7} -5 a^4 z^6+29 a^2 z^6+85 z^6 a^{-2} +25 z^6 a^{-4} -12 z^6 a^{-6} +82 z^6+26 a^3 z^5+41 a z^5+44 z^5 a^{-1} +62 z^5 a^{-3} +29 z^5 a^{-5} -4 z^5 a^{-7} +6 a^4 z^4-19 a^2 z^4-79 z^4 a^{-2} -21 z^4 a^{-4} +10 z^4 a^{-6} -73 z^4-13 a^3 z^3-32 a z^3-46 z^3 a^{-1} -49 z^3 a^{-3} -19 z^3 a^{-5} +3 z^3 a^{-7} -a^4 z^2+7 a^2 z^2+36 z^2 a^{-2} +12 z^2 a^{-4} -2 z^2 a^{-6} +30 z^2+2 a^3 z+8 a z+14 z a^{-1} +14 z a^{-3} +6 z a^{-5} -a^2-7 a^{-2} -3 a^{-4} -4 }[/math] |
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