K13a4260
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Polynomial invariants
| Jones polynomial | Data:K13a4260/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-8 t^4+29 t^3-65 t^2+102 t-117+102 t^{-1} -65 t^{-2} +29 t^{-3} -8 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13a4260/Conway Polynomial |
| Determinant | 527 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-2} +5 z^8 a^{-2} -2 z^8 a^{-4} -z^8+9 z^6 a^{-2} -7 z^6 a^{-4} +z^6 a^{-6} -3 z^6+5 z^4 a^{-2} -6 z^4 a^{-4} +2 z^4 a^{-6} -2 z^4-3 z^2 a^{-2} +2 z^2 a^{-4} +z^2-3 a^{-2} +3 a^{-4} - a^{-6} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 8 z^{12} a^{-2} +8 z^{12} a^{-4} +22 z^{11} a^{-1} +47 z^{11} a^{-3} +25 z^{11} a^{-5} +40 z^{10} a^{-2} +50 z^{10} a^{-4} +35 z^{10} a^{-6} +25 z^{10}+16 a z^9-29 z^9 a^{-1} -88 z^9 a^{-3} -13 z^9 a^{-5} +30 z^9 a^{-7} +6 a^2 z^8-142 z^8 a^{-2} -153 z^8 a^{-4} -55 z^8 a^{-6} +17 z^8 a^{-8} -55 z^8+a^3 z^7-33 a z^7-18 z^7 a^{-1} +19 z^7 a^{-3} -49 z^7 a^{-5} -46 z^7 a^{-7} +6 z^7 a^{-9} -10 a^2 z^6+132 z^6 a^{-2} +129 z^6 a^{-4} +22 z^6 a^{-6} -20 z^6 a^{-8} +z^6 a^{-10} +36 z^6-a^3 z^5+18 a z^5+36 z^5 a^{-1} +42 z^5 a^{-3} +49 z^5 a^{-5} +20 z^5 a^{-7} -4 z^5 a^{-9} +3 a^2 z^4-33 z^4 a^{-2} -28 z^4 a^{-4} +5 z^4 a^{-8} -7 z^4-3 a z^3-14 z^3 a^{-1} -20 z^3 a^{-3} -11 z^3 a^{-5} -2 z^3 a^{-7} -8 z^2 a^{-2} -8 z^2 a^{-4} -3 z^2 a^{-6} -3 z^2+z a^{-1} +z a^{-3} -z a^{-5} -z a^{-7} +3 a^{-2} +3 a^{-4} + a^{-6} +2 }[/math] |
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