K13n3772
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Polynomial invariants
| Jones polynomial | Data:K13n3772/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+6 t^2-13 t+17-13 t^{-1} +6 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n3772/Conway Polynomial |
| Determinant | 57 |
| 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} -8 z^6+5 a^2 z^4+20 z^4 a^{-2} -4 z^4 a^{-4} -21 z^4+7 a^2 z^2+26 z^2 a^{-2} -7 z^2 a^{-4} -24 z^2+3 a^2+13 a^{-2} -5 a^{-4} -10 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +a^2 z^{10}+4 z^{10} a^{-2} +3 z^{10} a^{-4} +2 z^{10}+2 a^3 z^9+2 a z^9-4 z^9 a^{-1} +4 z^9 a^{-5} +a^4 z^8-6 a^2 z^8-22 z^8 a^{-2} -9 z^8 a^{-4} +3 z^8 a^{-6} -17 z^8-13 a^3 z^7-20 a z^7-4 z^7 a^{-1} -11 z^7 a^{-3} -13 z^7 a^{-5} +z^7 a^{-7} -6 a^4 z^6+5 a^2 z^6+48 z^6 a^{-2} +6 z^6 a^{-4} -11 z^6 a^{-6} +42 z^6+24 a^3 z^5+48 a z^5+31 z^5 a^{-1} +18 z^5 a^{-3} +7 z^5 a^{-5} -4 z^5 a^{-7} +10 a^4 z^4+4 a^2 z^4-60 z^4 a^{-2} -12 z^4 a^{-4} +10 z^4 a^{-6} -44 z^4-17 a^3 z^3-40 a z^3-39 z^3 a^{-1} -21 z^3 a^{-3} +5 z^3 a^{-7} -5 a^4 z^2+a^2 z^2+40 z^2 a^{-2} +14 z^2 a^{-4} -2 z^2 a^{-6} +30 z^2+5 a^3 z+14 a z+16 z a^{-1} +10 z a^{-3} +z a^{-5} -2 z a^{-7} -3 a^2-13 a^{-2} -5 a^{-4} -10 }[/math] |
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