K13a733
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Polynomial invariants
| Jones polynomial | Data:K13a733/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-14 t^3+43 t^2-78 t+95-78 t^{-1} +43 t^{-2} -14 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13a733/Conway Polynomial |
| Determinant | 369 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +z^8-2 a^2 z^6+3 z^6 a^{-2} -z^6 a^{-4} +2 z^6+a^4 z^4-5 a^2 z^4+5 z^4 a^{-2} -2 z^4 a^{-4} +2 a^4 z^2-4 a^2 z^2+7 z^2 a^{-2} -2 z^2 a^{-4} -3 z^2+a^4-a^2+5 a^{-2} -2 a^{-4} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{12} a^{-2} +2 z^{12}+7 a z^{11}+16 z^{11} a^{-1} +9 z^{11} a^{-3} +12 a^2 z^{10}+31 z^{10} a^{-2} +15 z^{10} a^{-4} +28 z^{10}+13 a^3 z^9+19 a z^9+6 z^9 a^{-3} +12 z^9 a^{-5} +9 a^4 z^8-4 a^2 z^8-79 z^8 a^{-2} -32 z^8 a^{-4} +5 z^8 a^{-6} -55 z^8+4 a^5 z^7-20 a^3 z^7-63 a z^7-65 z^7 a^{-1} -57 z^7 a^{-3} -30 z^7 a^{-5} +z^7 a^{-7} +a^6 z^6-16 a^4 z^6-24 a^2 z^6+59 z^6 a^{-2} +19 z^6 a^{-4} -11 z^6 a^{-6} +22 z^6-7 a^5 z^5+14 a^3 z^5+60 a z^5+72 z^5 a^{-1} +60 z^5 a^{-3} +25 z^5 a^{-5} -2 z^5 a^{-7} -2 a^6 z^4+13 a^4 z^4+32 a^2 z^4-25 z^4 a^{-2} -7 z^4 a^{-4} +7 z^4 a^{-6} +6 z^4+4 a^5 z^3-5 a^3 z^3-25 a z^3-33 z^3 a^{-1} -28 z^3 a^{-3} -10 z^3 a^{-5} +z^3 a^{-7} +a^6 z^2-6 a^4 z^2-13 a^2 z^2+12 z^2 a^{-2} +5 z^2 a^{-4} -z^2 a^{-6} -a^5 z+a^3 z+6 a z+8 z a^{-1} +7 z a^{-3} +3 z a^{-5} +a^4+a^2-5 a^{-2} -2 a^{-4} -2 }[/math] |
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