K12a192
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^2+5 q-10+17 q^{-1} -23 q^{-2} +27 q^{-3} -28 q^{-4} +25 q^{-5} -19 q^{-6} +13 q^{-7} -7 q^{-8} +3 q^{-9} - q^{-10} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-15 t^2+43 t-59+43 t^{-1} -15 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6-3 z^4+z^2+1 }[/math] |
| Determinant | 179 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^{10}+3 z^2 a^8+2 a^8-3 z^4 a^6-3 z^2 a^6-a^6+z^6 a^4+z^6 a^2+z^4 a^2+z^2 a^2-z^4+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-4 z^5 a^{11}+4 z^3 a^{11}-z a^{11}+3 z^8 a^{10}-11 z^6 a^{10}+11 z^4 a^{10}-5 z^2 a^{10}+a^{10}+5 z^9 a^9-17 z^7 a^9+17 z^5 a^9-9 z^3 a^9+2 z a^9+5 z^{10} a^8-13 z^8 a^8+5 z^6 a^8+7 z^4 a^8-8 z^2 a^8+2 a^8+2 z^{11} a^7+7 z^9 a^7-42 z^7 a^7+62 z^5 a^7-35 z^3 a^7+6 z a^7+12 z^{10} a^6-33 z^8 a^6+29 z^6 a^6-3 z^4 a^6-3 z^2 a^6+a^6+2 z^{11} a^5+13 z^9 a^5-48 z^7 a^5+58 z^5 a^5-25 z^3 a^5+3 z a^5+7 z^{10} a^4-5 z^8 a^4-6 z^6 a^4+4 z^4 a^4+2 z^2 a^4+11 z^9 a^3-14 z^7 a^3+3 z^5 a^3-z^3 a^3+12 z^8 a^2-14 z^6 a^2-2 z^4 a^2+2 z^2 a^2+10 z^7 a-13 z^5 a+2 z^3 a+5 z^6-5 z^4+1+z^5 a^{-1} }[/math] |
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