K13a2737
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Polynomial invariants
| Jones polynomial | Data:K13a2737/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-13 t^3+39 t^2-73 t+91-73 t^{-1} +39 t^{-2} -13 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13a2737/Conway Polynomial |
| Determinant | 345 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +z^8-2 a^2 z^6+4 z^6 a^{-2} -z^6 a^{-4} +2 z^6+a^4 z^4-4 a^2 z^4+8 z^4 a^{-2} -3 z^4 a^{-4} -z^4+a^4 z^2-a^2 z^2+7 z^2 a^{-2} -3 z^2 a^{-4} -6 z^2+2 a^2+2 a^{-2} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{12} a^{-2} +2 z^{12}+8 a z^{11}+15 z^{11} a^{-1} +7 z^{11} a^{-3} +15 a^2 z^{10}+22 z^{10} a^{-2} +10 z^{10} a^{-4} +27 z^{10}+17 a^3 z^9+15 a z^9-10 z^9 a^{-1} +8 z^9 a^{-5} +12 a^4 z^8-13 a^2 z^8-64 z^8 a^{-2} -22 z^8 a^{-4} +4 z^8 a^{-6} -63 z^8+5 a^5 z^7-29 a^3 z^7-60 a z^7-37 z^7 a^{-1} -34 z^7 a^{-3} -22 z^7 a^{-5} +z^7 a^{-7} +a^6 z^6-21 a^4 z^6-15 a^2 z^6+63 z^6 a^{-2} +12 z^6 a^{-4} -12 z^6 a^{-6} +46 z^6-7 a^5 z^5+16 a^3 z^5+54 a z^5+56 z^5 a^{-1} +48 z^5 a^{-3} +20 z^5 a^{-5} -3 z^5 a^{-7} -a^6 z^4+12 a^4 z^4+17 a^2 z^4-27 z^4 a^{-2} +3 z^4 a^{-4} +11 z^4 a^{-6} -15 z^4+2 a^5 z^3-5 a^3 z^3-19 a z^3-29 z^3 a^{-1} -28 z^3 a^{-3} -9 z^3 a^{-5} +2 z^3 a^{-7} -3 a^4 z^2-2 a^2 z^2+6 z^2 a^{-2} -5 z^2 a^{-4} -4 z^2 a^{-6} +8 z^2+a^3 z+3 a z+7 z a^{-1} +7 z a^{-3} +2 z a^{-5} -2 a^2-2 a^{-2} -3 }[/math] |
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