K13n970
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Polynomial invariants
| Jones polynomial | Data:K13n970/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+23 t^2-48 t+63-48 t^{-1} +23 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n970/Conway Polynomial |
| Determinant | 221 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-a^2 z^6-3 z^6 a^{-2} +5 z^6-4 a^2 z^4-10 z^4 a^{-2} +3 z^4 a^{-4} +12 z^4+a^4 z^2-8 a^2 z^2-13 z^2 a^{-2} +6 z^2 a^{-4} -z^2 a^{-6} +12 z^2+2 a^4-4 a^2-5 a^{-2} +4 a^{-4} - a^{-6} +5 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +14 z^{10} a^{-2} +6 z^{10} a^{-4} +8 z^{10}+13 a z^9+24 z^9 a^{-1} +18 z^9 a^{-3} +7 z^9 a^{-5} +10 a^2 z^8-10 z^8 a^{-2} -2 z^8 a^{-4} +4 z^8 a^{-6} +6 z^8+3 a^3 z^7-20 a z^7-59 z^7 a^{-1} -54 z^7 a^{-3} -17 z^7 a^{-5} +z^7 a^{-7} -14 a^2 z^6-42 z^6 a^{-2} -29 z^6 a^{-4} -12 z^6 a^{-6} -39 z^6+6 a^3 z^5+19 a z^5+36 z^5 a^{-1} +36 z^5 a^{-3} +10 z^5 a^{-5} -3 z^5 a^{-7} +6 a^4 z^4+22 a^2 z^4+51 z^4 a^{-2} +38 z^4 a^{-4} +13 z^4 a^{-6} +42 z^4-7 a^3 z^3-8 a z^3-4 z^3 a^{-1} -4 z^3 a^{-3} +2 z^3 a^{-5} +3 z^3 a^{-7} -7 a^4 z^2-17 a^2 z^2-23 z^2 a^{-2} -18 z^2 a^{-4} -6 z^2 a^{-6} -21 z^2+2 a^3 z-3 z a^{-1} -2 z a^{-3} -2 z a^{-5} -z a^{-7} +2 a^4+4 a^2+5 a^{-2} +4 a^{-4} + a^{-6} +5 }[/math] |
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