10 110 Quantum Invariants
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Further quantum knot invariants for 10_110.
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^{15}-2 q^{13}+4 q^{11}-4 q^9+2 q^7-q^5-q^3+3 q-3 q^{-1} +4 q^{-3} -2 q^{-5} + q^{-7} } |
| 2 | 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^{42}-2 q^{40}+q^{38}+5 q^{36}-11 q^{34}+3 q^{32}+19 q^{30}-26 q^{28}-5 q^{26}+37 q^{24}-23 q^{22}-19 q^{20}+32 q^{18}-2 q^{16}-22 q^{14}+8 q^{12}+19 q^{10}-13 q^8-18 q^6+28 q^4+3 q^2-35+22 q^{-2} +20 q^{-4} -33 q^{-6} +4 q^{-8} +23 q^{-10} -14 q^{-12} -6 q^{-14} +9 q^{-16} - q^{-18} -2 q^{-20} + q^{-22} } |
| 3 | 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^{81}-2 q^{79}+q^{77}+2 q^{75}-2 q^{73}-5 q^{71}+6 q^{69}+13 q^{67}-18 q^{65}-30 q^{63}+34 q^{61}+63 q^{59}-40 q^{57}-122 q^{55}+31 q^{53}+189 q^{51}+8 q^{49}-235 q^{47}-84 q^{45}+253 q^{43}+158 q^{41}-218 q^{39}-215 q^{37}+144 q^{35}+239 q^{33}-52 q^{31}-227 q^{29}-37 q^{27}+190 q^{25}+109 q^{23}-140 q^{21}-169 q^{19}+90 q^{17}+211 q^{15}-36 q^{13}-244 q^{11}-16 q^9+257 q^7+86 q^5-250 q^3-154 q+213 q^{-1} +210 q^{-3} -142 q^{-5} -241 q^{-7} +54 q^{-9} +233 q^{-11} +27 q^{-13} -182 q^{-15} -81 q^{-17} +110 q^{-19} +99 q^{-21} -48 q^{-23} -77 q^{-25} +3 q^{-27} +46 q^{-29} +12 q^{-31} -20 q^{-33} -9 q^{-35} +6 q^{-37} +4 q^{-39} - q^{-41} -2 q^{-43} + q^{-45} } |
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^{22}-q^{18}+3 q^{16}-2 q^{14}+q^{10}-3 q^8+2 q^6-3 q^4+2 q^2+1- q^{-2} +3 q^{-4} - q^{-6} + q^{-10} } |
| 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^{56}-q^{52}+q^{50}+2 q^{48}-q^{46}-6 q^{44}+3 q^{42}+10 q^{40}-9 q^{38}-11 q^{36}+7 q^{34}+15 q^{32}-10 q^{30}-16 q^{28}+14 q^{26}+10 q^{24}-10 q^{22}-4 q^{20}+12 q^{18}-2 q^{16}-3 q^{14}+6 q^{12}-q^{10}-9 q^8+2 q^6+12 q^4-12 q^2-10+15 q^{-2} +9 q^{-4} -13 q^{-6} -7 q^{-8} +11 q^{-10} +7 q^{-12} -9 q^{-14} -6 q^{-16} +6 q^{-18} +5 q^{-20} - q^{-22} -2 q^{-24} + q^{-28} } |
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^{48}-2 q^{46}+6 q^{42}-7 q^{40}-4 q^{38}+18 q^{36}-12 q^{34}-13 q^{32}+27 q^{30}-13 q^{28}-16 q^{26}+27 q^{24}-6 q^{22}-11 q^{20}+12 q^{18}+3 q^{16}-5 q^{14}-10 q^{12}+9 q^{10}+6 q^8-23 q^6+9 q^4+18 q^2-25+8 q^{-2} +17 q^{-4} -20 q^{-6} +8 q^{-8} +8 q^{-10} -9 q^{-12} +4 q^{-14} +2 q^{-16} -2 q^{-18} + 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^{29}+q^{25}-q^{23}+3 q^{21}-3 q^{19}+2 q^{17}-2 q^{15}+q^{13}-2 q^{11}-2 q^5+2 q^3-q+3 q^{-1} -2 q^{-3} +3 q^{-5} - q^{-7} + q^{-9} + q^{-13} } |
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^{48}-2 q^{46}+4 q^{44}-8 q^{42}+13 q^{40}-18 q^{38}+26 q^{36}-30 q^{34}+33 q^{32}-31 q^{30}+25 q^{28}-14 q^{26}-q^{24}+16 q^{22}-33 q^{20}+46 q^{18}-59 q^{16}+63 q^{14}-62 q^{12}+55 q^{10}-42 q^8+27 q^6-9 q^4-6 q^2+19-28 q^{-2} +33 q^{-4} -32 q^{-6} +30 q^{-8} -24 q^{-10} +17 q^{-12} -10 q^{-14} +6 q^{-16} -2 q^{-18} + 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^{78}-2 q^{74}-2 q^{72}+2 q^{70}+7 q^{68}+2 q^{66}-10 q^{64}-11 q^{62}+5 q^{60}+22 q^{58}+7 q^{56}-23 q^{54}-23 q^{52}+12 q^{50}+33 q^{48}+3 q^{46}-33 q^{44}-17 q^{42}+25 q^{40}+26 q^{38}-13 q^{36}-27 q^{34}+5 q^{32}+27 q^{30}+4 q^{28}-24 q^{26}-8 q^{24}+19 q^{22}+12 q^{20}-17 q^{18}-17 q^{16}+14 q^{14}+21 q^{12}-11 q^{10}-30 q^8+q^6+33 q^4+15 q^2-28-29 q^{-2} +16 q^{-4} +35 q^{-6} + q^{-8} -28 q^{-10} -14 q^{-12} +18 q^{-14} +18 q^{-16} -5 q^{-18} -13 q^{-20} -2 q^{-22} +7 q^{-24} +4 q^{-26} -2 q^{-28} -2 q^{-30} + q^{-34} } |
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^{114}-2 q^{112}+4 q^{110}-6 q^{108}+6 q^{106}-5 q^{104}+10 q^{100}-20 q^{98}+31 q^{96}-39 q^{94}+35 q^{92}-20 q^{90}-10 q^{88}+55 q^{86}-94 q^{84}+121 q^{82}-118 q^{80}+71 q^{78}+10 q^{76}-112 q^{74}+200 q^{72}-226 q^{70}+178 q^{68}-61 q^{66}-84 q^{64}+200 q^{62}-231 q^{60}+167 q^{58}-31 q^{56}-116 q^{54}+198 q^{52}-176 q^{50}+53 q^{48}+118 q^{46}-250 q^{44}+281 q^{42}-194 q^{40}+14 q^{38}+182 q^{36}-325 q^{34}+358 q^{32}-275 q^{30}+101 q^{28}+99 q^{26}-256 q^{24}+317 q^{22}-265 q^{20}+124 q^{18}+44 q^{16}-179 q^{14}+221 q^{12}-157 q^{10}+20 q^8+134 q^6-223 q^4+206 q^2-87-82 q^{-2} +226 q^{-4} -279 q^{-6} +228 q^{-8} -96 q^{-10} -60 q^{-12} +176 q^{-14} -213 q^{-16} +180 q^{-18} -94 q^{-20} +3 q^{-22} +60 q^{-24} -87 q^{-26} +76 q^{-28} -46 q^{-30} +19 q^{-32} +3 q^{-34} -12 q^{-36} +13 q^{-38} -10 q^{-40} +6 q^{-42} -2 q^{-44} + q^{-46} } |