K13n3113
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Polynomial invariants
| Jones polynomial | Data:K13n3113/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+8 t^3-23 t^2+39 t-45+39 t^{-1} -23 t^{-2} +8 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3113/Conway Polynomial |
| Determinant | 187 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -3 z^6 a^{-2} +z^6 a^{-4} +2 z^6-a^2 z^4+z^4 a^{-4} +5 z^4-2 a^2 z^2+7 z^2 a^{-2} -3 z^2 a^{-4} +z^2+6 a^{-2} -3 a^{-4} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-1} +3 z^{11} a^{-3} +16 z^{10} a^{-2} +8 z^{10} a^{-4} +8 z^{10}+8 a z^9+10 z^9 a^{-1} +9 z^9 a^{-3} +7 z^9 a^{-5} +4 a^2 z^8-44 z^8 a^{-2} -19 z^8 a^{-4} +2 z^8 a^{-6} -19 z^8+a^3 z^7-25 a z^7-53 z^7 a^{-1} -41 z^7 a^{-3} -14 z^7 a^{-5} -12 a^2 z^6+45 z^6 a^{-2} +31 z^6 a^{-4} +6 z^6 a^{-6} +8 z^6-3 a^3 z^5+25 a z^5+63 z^5 a^{-1} +54 z^5 a^{-3} +25 z^5 a^{-5} +6 z^5 a^{-7} +10 a^2 z^4-35 z^4 a^{-2} -29 z^4 a^{-4} -5 z^4 a^{-6} +z^4 a^{-8} -2 z^4+2 a^3 z^3-13 a z^3-35 z^3 a^{-1} -34 z^3 a^{-3} -17 z^3 a^{-5} -3 z^3 a^{-7} -3 a^2 z^2+21 z^2 a^{-2} +15 z^2 a^{-4} +z^2 a^{-6} +4 z^2+3 a z+8 z a^{-1} +9 z a^{-3} +3 z a^{-5} -z a^{-7} -6 a^{-2} -3 a^{-4} -2 }[/math] |
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