K13a1132
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Polynomial invariants
| Jones polynomial | Data:K13a1132/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-10 t^3+42 t^2-94 t+123-94 t^{-1} +42 t^{-2} -10 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13a1132/Conway Polynomial |
| Determinant | 417 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-3 a^2 z^6-2 z^6 a^{-2} +3 z^6+3 a^4 z^4-5 a^2 z^4-4 z^4 a^{-2} +z^4 a^{-4} +7 z^4-a^6 z^2+2 a^4 z^2-3 a^2 z^2-4 z^2 a^{-2} +z^2 a^{-4} +5 z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a^2 z^{12}+3 z^{12}+11 a^3 z^{11}+22 a z^{11}+11 z^{11} a^{-1} +16 a^4 z^{10}+35 a^2 z^{10}+18 z^{10} a^{-2} +37 z^{10}+12 a^5 z^9+4 a^3 z^9-9 a z^9+17 z^9 a^{-1} +18 z^9 a^{-3} +5 a^6 z^8-31 a^4 z^8-91 a^2 z^8-14 z^8 a^{-2} +12 z^8 a^{-4} -81 z^8+a^7 z^7-28 a^5 z^7-58 a^3 z^7-68 a z^7-70 z^7 a^{-1} -26 z^7 a^{-3} +5 z^7 a^{-5} -11 a^6 z^6+14 a^4 z^6+63 a^2 z^6-18 z^6 a^{-2} -19 z^6 a^{-4} +z^6 a^{-6} +40 z^6-2 a^7 z^5+23 a^5 z^5+60 a^3 z^5+76 a z^5+60 z^5 a^{-1} +12 z^5 a^{-3} -7 z^5 a^{-5} +8 a^6 z^4-13 a^2 z^4+26 z^4 a^{-2} +12 z^4 a^{-4} -z^4 a^{-6} +8 z^4+a^7 z^3-9 a^5 z^3-22 a^3 z^3-25 a z^3-17 z^3 a^{-1} -z^3 a^{-3} +3 z^3 a^{-5} -2 a^6 z^2-a^4 z^2-10 z^2 a^{-2} -3 z^2 a^{-4} -8 z^2+a^5 z+3 a^3 z+3 a z+z a^{-1} +1 }[/math] |
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