K13a3046
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Polynomial invariants
| Jones polynomial | Data:K13a3046/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+5 t^4-14 t^3+26 t^2-34 t+37-34 t^{-1} +26 t^{-2} -14 t^{-3} +5 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13a3046/Conway Polynomial |
| Determinant | 197 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^4 z^{10}+a^6 z^8-8 a^4 z^8+2 a^2 z^8+6 a^6 z^6-26 a^4 z^6+12 a^2 z^6-z^6+13 a^6 z^4-42 a^4 z^4+25 a^2 z^4-4 z^4+12 a^6 z^2-31 a^4 z^2+22 a^2 z^2-4 z^2+3 a^6-8 a^4+7 a^2-1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^4 a^{12}-z^2 a^{12}+3 z^5 a^{11}-2 z^3 a^{11}+6 z^6 a^{10}-5 z^4 a^{10}+2 z^2 a^{10}+10 z^7 a^9-15 z^5 a^9+11 z^3 a^9-2 z a^9+13 z^8 a^8-25 z^6 a^8+16 z^4 a^8-3 z^2 a^8+14 z^9 a^7-33 z^7 a^7+23 z^5 a^7-9 z^3 a^7+z a^7+12 z^{10} a^6-31 z^8 a^6+21 z^6 a^6-15 z^4 a^6+10 z^2 a^6-3 a^6+7 z^{11} a^5-10 z^9 a^5-30 z^7 a^5+57 z^5 a^5-38 z^3 a^5+9 z a^5+2 z^{12} a^4+12 z^{10} a^4-79 z^8 a^4+130 z^6 a^4-102 z^4 a^4+45 z^2 a^4-8 a^4+12 z^{11} a^3-48 z^9 a^3+45 z^7 a^3+11 z^5 a^3-26 z^3 a^3+9 z a^3+2 z^{12} a^2+4 z^{10} a^2-57 z^8 a^2+118 z^6 a^2-93 z^4 a^2+36 z^2 a^2-7 a^2+5 z^{11} a-23 z^9 a+27 z^7 a+3 z^5 a-15 z^3 a+4 z a+4 z^{10}-22 z^8+40 z^6-28 z^4+7 z^2-1+z^9 a^{-1} -5 z^7 a^{-1} +8 z^5 a^{-1} -5 z^3 a^{-1} +z a^{-1} }[/math] |
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