K12n700
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 2 q^{-2} -4 q^{-3} +8 q^{-4} -12 q^{-5} +15 q^{-6} -15 q^{-7} +14 q^{-8} -11 q^{-9} +7 q^{-10} -4 q^{-11} + q^{-12} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+11 t^2-21 t+25-21 t^{-1} +11 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6-z^4+5 z^2+1 }[/math] |
| Determinant | 93 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{10}+z^2 a^{10}-a^{10}-z^6 a^8-2 z^4 a^8+a^8-z^6 a^6-2 z^4 a^6-z^2 a^6-a^6+2 z^4 a^4+5 z^2 a^4+2 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^6 a^{14}-2 z^4 a^{14}+4 z^7 a^{13}-11 z^5 a^{13}+5 z^3 a^{13}+z a^{13}+6 z^8 a^{12}-17 z^6 a^{12}+11 z^4 a^{12}-3 z^2 a^{12}+5 z^9 a^{11}-12 z^7 a^{11}+6 z^5 a^{11}-2 z^3 a^{11}+2 z^{10} a^{10}+2 z^8 a^{10}-19 z^6 a^{10}+25 z^4 a^{10}-12 z^2 a^{10}+a^{10}+9 z^9 a^9-31 z^7 a^9+42 z^5 a^9-20 z^3 a^9+3 z a^9+2 z^{10} a^8-z^8 a^8-9 z^6 a^8+22 z^4 a^8-10 z^2 a^8+a^8+4 z^9 a^7-14 z^7 a^7+26 z^5 a^7-17 z^3 a^7+5 z a^7+3 z^8 a^6-8 z^6 a^6+13 z^4 a^6-8 z^2 a^6+a^6+z^7 a^5+z^5 a^5-4 z^3 a^5+z a^5+3 z^4 a^4-7 z^2 a^4+2 a^4 }[/math] |
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