K12n728
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^7-4 q^6+9 q^5-14 q^4+17 q^3-18 q^2+17 q-13+9 q^{-1} -4 q^{-2} + q^{-3} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^4+5 t^3-13 t^2+22 t-25+22 t^{-1} -13 t^{-2} +5 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^8-3 z^6-3 z^4-z^2+1 }[/math] |
| Determinant | 107 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -5 z^6 a^{-2} +z^6 a^{-4} +z^6-9 z^4 a^{-2} +3 z^4 a^{-4} +3 z^4-7 z^2 a^{-2} +3 z^2 a^{-4} +3 z^2-2 a^{-2} + a^{-4} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-2} +2 z^{10} a^{-4} +7 z^9 a^{-1} +10 z^9 a^{-3} +3 z^9 a^{-5} +8 z^8 a^{-2} +z^8 a^{-4} +z^8 a^{-6} +8 z^8+4 a z^7-17 z^7 a^{-1} -27 z^7 a^{-3} -6 z^7 a^{-5} +a^2 z^6-35 z^6 a^{-2} -8 z^6 a^{-4} +3 z^6 a^{-6} -23 z^6-9 a z^5+11 z^5 a^{-1} +30 z^5 a^{-3} +14 z^5 a^{-5} +4 z^5 a^{-7} -2 a^2 z^4+38 z^4 a^{-2} +15 z^4 a^{-4} -z^4 a^{-6} +z^4 a^{-8} +19 z^4+3 a z^3-5 z^3 a^{-1} -14 z^3 a^{-3} -10 z^3 a^{-5} -4 z^3 a^{-7} -16 z^2 a^{-2} -8 z^2 a^{-4} -z^2 a^{-6} -z^2 a^{-8} -8 z^2+z a^{-1} +2 z a^{-3} +2 z a^{-5} +z a^{-7} +2 a^{-2} + a^{-4} +2 }[/math] |
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