K13a798
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Polynomial invariants
| Jones polynomial | Data:K13a798/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+6 t^4-18 t^3+36 t^2-50 t+55-50 t^{-1} +36 t^{-2} -18 t^{-3} +6 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13a798/Conway Polynomial |
| Determinant | 277 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^4 z^{10}+2 a^6 z^8-7 a^4 z^8+a^2 z^8-a^8 z^6+11 a^6 z^6-20 a^4 z^6+5 a^2 z^6-4 a^8 z^4+22 a^6 z^4-29 a^4 z^4+9 a^2 z^4-5 a^8 z^2+20 a^6 z^2-20 a^4 z^2+8 a^2 z^2-3 a^8+7 a^6-6 a^4+3 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^5 a^{13}-z^3 a^{13}+4 z^6 a^{12}-4 z^4 a^{12}+9 z^7 a^{11}-12 z^5 a^{11}+6 z^3 a^{11}-2 z a^{11}+14 z^8 a^{10}-23 z^6 a^{10}+17 z^4 a^{10}-5 z^2 a^{10}+16 z^9 a^9-27 z^7 a^9+16 z^5 a^9-z^3 a^9+z a^9+14 z^{10} a^8-22 z^8 a^8+7 z^6 a^8+z^4 a^8+7 z^2 a^8-3 a^8+8 z^{11} a^7-38 z^7 a^7+50 z^5 a^7-28 z^3 a^7+7 z a^7+2 z^{12} a^6+21 z^{10} a^6-81 z^8 a^6+106 z^6 a^6-79 z^4 a^6+34 z^2 a^6-7 a^6+14 z^{11} a^5-32 z^9 a^5+z^7 a^5+37 z^5 a^5-34 z^3 a^5+8 z a^5+2 z^{12} a^4+14 z^{10} a^4-72 z^8 a^4+106 z^6 a^4-80 z^4 a^4+33 z^2 a^4-6 a^4+6 z^{11} a^3-12 z^9 a^3-13 z^7 a^3+36 z^5 a^3-23 z^3 a^3+6 z a^3+7 z^{10} a^2-26 z^8 a^2+30 z^6 a^2-16 z^4 a^2+9 z^2 a^2-3 a^2+4 z^9 a-16 z^7 a+20 z^5 a-9 z^3 a+2 z a+z^8-4 z^6+5 z^4-2 z^2 }[/math] |
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