9 42 Quantum Invariants
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Further quantum knot invariants for 9_42.
A1 Invariants.
| Weight | Invariant |
|---|---|
| 1 | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^7+ q^{-7} } |
| 2 | |
| 3 | |
| 4 | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{76}-q^{72}-q^{70}-q^{68}+q^{66}+q^{64}+q^{62}-q^{58}+q^{48}+q^{46}-2 q^{42}-2 q^{40}+q^{36}+2 q^{34}-q^{30}-q^{28}+2 q^{24}+q^{22}+q^{20}-q^{18}-2 q^{16}+q^{12}+2 q^{10}-2 q^6-q^4+2+ q^{-2} - q^{-4} + q^{-8} +2 q^{-10} + q^{-12} - q^{-14} + q^{-20} - q^{-24} - q^{-34} -2 q^{-36} + q^{-40} +2 q^{-42} +2 q^{-44} - q^{-46} - q^{-48} -2 q^{-50} + q^{-52} +3 q^{-54} -2 q^{-60} - q^{-62} + q^{-68} } |
| 5 | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{115}-q^{111}-q^{109}-q^{107}+q^{103}+2 q^{101}+q^{99}-q^{95}-q^{93}-q^{91}+q^{87}+q^{81}+q^{79}-q^{75}-3 q^{73}-2 q^{71}+2 q^{67}+3 q^{65}+2 q^{63}-2 q^{59}-2 q^{57}-q^{55}+q^{53}+2 q^{51}+2 q^{49}+q^{47}-q^{45}-2 q^{43}-3 q^{41}-2 q^{39}+q^{37}+3 q^{35}+3 q^{33}+q^{31}-2 q^{29}-4 q^{27}-2 q^{25}+q^{23}+3 q^{21}+4 q^{19}+q^{17}-2 q^{15}-3 q^{13}-q^{11}+2 q^9+3 q^7+2 q^5-q^3-3 q-2 q^{-1} + q^{-3} +3 q^{-5} +2 q^{-7} -2 q^{-11} - q^{-13} + q^{-15} +2 q^{-17} + q^{-19} - q^{-21} - q^{-23} + q^{-27} - q^{-31} - q^{-33} + q^{-37} + q^{-39} + q^{-55} +2 q^{-57} + q^{-59} -2 q^{-61} -4 q^{-63} -4 q^{-65} +5 q^{-69} +6 q^{-71} + q^{-73} -5 q^{-75} -6 q^{-77} -3 q^{-79} +3 q^{-81} +6 q^{-83} +5 q^{-85} -3 q^{-89} -3 q^{-91} -2 q^{-93} + q^{-97} + q^{-99} } |
A2 Invariants.
| Weight | Invariant |
|---|---|
| 1,0 | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{10}+q^8+q^6-q^2-1- q^{-2} + q^{-6} + q^{-8} + q^{-10} } |
| 1,1 | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{28}+2 q^{24}+2 q^{20}-2 q^{18}-2 q^{16}-2 q^{14}-2 q^{12}+2 q^6+4 q^4+4 q^2+2+2 q^{-2} -2 q^{-4} -4 q^{-8} -2 q^{-12} +2 q^{-14} +2 q^{-18} +2 q^{-24} -2 q^{-26} + q^{-28} -2 q^{-30} +2 q^{-32} } |
| 2,0 | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{28}+q^{26}+q^{24}-q^{18}-q^{16}-2 q^{14}-2 q^{12}-q^{10}+q^8+3 q^6+2 q^4+3 q^2+2+ q^{-2} - q^{-4} - q^{-6} - q^{-8} - q^{-10} + q^{-16} + q^{-20} - q^{-22} - q^{-24} + q^{-28} + q^{-30} } |
A3 Invariants.
| Weight | Invariant |
|---|---|
| 0,1,0 | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{20}+q^{16}+q^{14}+q^{12}-q^4- q^{-4} + q^{-12} + q^{-14} + q^{-16} + q^{-20} } |
| 1,0,0 | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{13}+q^{11}+2 q^9+q^7-q^3-2 q-2 q^{-1} - q^{-3} + q^{-7} +2 q^{-9} + q^{-11} + q^{-13} } |
A4 Invariants.
| Weight | Invariant |
|---|---|
| 0,1,0,0 | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{26}+q^{24}+2 q^{22}+2 q^{20}+2 q^{18}+q^{16}-2 q^{12}-3 q^{10}-3 q^8-2 q^6-q^4+q^2+4+4 q^{-2} +3 q^{-4} +2 q^{-6} -3 q^{-10} -3 q^{-12} -3 q^{-14} -2 q^{-16} +2 q^{-20} +3 q^{-22} +2 q^{-24} +2 q^{-26} + q^{-28} - q^{-32} } |
| 1,0,0,0 | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{16}+q^{14}+2 q^{12}+2 q^{10}+q^8-q^4-2 q^2-3-2 q^{-2} - q^{-4} + q^{-8} +2 q^{-10} +2 q^{-12} + q^{-14} + q^{-16} } |
B2 Invariants.
| Weight | Invariant |
|---|---|
| 0,1 | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{20}+q^{16}+q^{14}+q^{12}-q^4-2- q^{-4} + q^{-12} + q^{-14} + q^{-16} + q^{-20} } |
| 1,0 | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{34}+q^{26}+q^{18}-q^{14}+1- q^{-14} + q^{-18} + q^{-26} + q^{-34} } |
D4 Invariants.
| Weight | Invariant |
|---|---|
| 1,0,0,0 | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{26}+q^{22}+q^{20}+2 q^{18}+q^{16}+q^{14}+q^{12}-q^6-q^4-2 q^2-2 q^{-2} - q^{-4} - q^{-6} + q^{-12} + q^{-14} + q^{-16} +2 q^{-18} + q^{-20} + q^{-22} + q^{-26} } |
G2 Invariants.
| Weight | Invariant |
|---|---|
| 1,0 | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{46}+q^{42}+2 q^{32}+q^{26}+q^{24}+q^{22}+q^{20}-q^{18}+q^{16}+q^{14}-q^{12}+q^{10}-q^8-q^4-2 q^2-1- q^{-2} - q^{-4} -2 q^{-6} - q^{-8} - q^{-10} + q^{-12} - q^{-14} - q^{-16} + q^{-20} + q^{-22} + q^{-24} + q^{-26} +3 q^{-30} + q^{-34} + q^{-36} + q^{-40} + q^{-46} - q^{-50} - q^{-54} + q^{-56} - q^{-60} + q^{-62} } |
