10 28 Quantum Invariants

Further quantum knot invariants for 10_28.

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+2 q^5-2 q^3+2 q- q^{-1} + q^{-3} +2 q^{-5} - q^{-7} +2 q^{-9} -2 q^{-11} + q^{-13} - q^{-15} }
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^{20}-2 q^{18}+4 q^{14}-6 q^{12}+q^{10}+6 q^8-9 q^6+3 q^4+8 q^2-8+8 q^{-4} -2 q^{-6} -5 q^{-8} +4 q^{-10} +5 q^{-12} -5 q^{-14} -3 q^{-16} +9 q^{-18} -3 q^{-20} -8 q^{-22} +9 q^{-24} + q^{-26} -10 q^{-28} +5 q^{-30} +4 q^{-32} -7 q^{-34} + q^{-36} +4 q^{-38} -2 q^{-40} - q^{-42} + q^{-44} }
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^{39}+2 q^{37}-2 q^{33}+3 q^{29}+q^{27}-6 q^{25}+2 q^{23}+4 q^{21}-5 q^{19}-5 q^{17}+10 q^{15}+5 q^{13}-16 q^{11}-5 q^9+21 q^7+8 q^5-23 q^3-14 q+23 q^{-1} +19 q^{-3} -12 q^{-5} -23 q^{-7} +2 q^{-9} +25 q^{-11} +14 q^{-13} -21 q^{-15} -21 q^{-17} +14 q^{-19} +29 q^{-21} -7 q^{-23} -32 q^{-25} - q^{-27} +28 q^{-29} +8 q^{-31} -28 q^{-33} -13 q^{-35} +22 q^{-37} +23 q^{-39} -19 q^{-41} -26 q^{-43} +10 q^{-45} +30 q^{-47} -2 q^{-49} -30 q^{-51} -9 q^{-53} +27 q^{-55} +16 q^{-57} -18 q^{-59} -21 q^{-61} +8 q^{-63} +21 q^{-65} -15 q^{-69} -6 q^{-71} +9 q^{-73} +7 q^{-75} -3 q^{-77} -5 q^{-79} +2 q^{-83} + q^{-85} - q^{-87} }
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^{64}-2 q^{62}+2 q^{58}-2 q^{56}+3 q^{54}-5 q^{52}+2 q^{50}+4 q^{48}-6 q^{46}+11 q^{44}-8 q^{42}-q^{40}-q^{38}-13 q^{36}+28 q^{34}+2 q^{32}-7 q^{30}-25 q^{28}-28 q^{26}+59 q^{24}+36 q^{22}-13 q^{20}-72 q^{18}-65 q^{16}+86 q^{14}+97 q^{12}+12 q^{10}-110 q^8-126 q^6+64 q^4+136 q^2+81-73 q^{-2} -161 q^{-4} -26 q^{-6} +86 q^{-8} +129 q^{-10} +32 q^{-12} -103 q^{-14} -100 q^{-16} -34 q^{-18} +93 q^{-20} +121 q^{-22} +11 q^{-24} -101 q^{-26} -116 q^{-28} +17 q^{-30} +129 q^{-32} +85 q^{-34} -66 q^{-36} -130 q^{-38} -31 q^{-40} +103 q^{-42} +109 q^{-44} -45 q^{-46} -118 q^{-48} -54 q^{-50} +79 q^{-52} +128 q^{-54} -16 q^{-56} -105 q^{-58} -90 q^{-60} +37 q^{-62} +141 q^{-64} +41 q^{-66} -59 q^{-68} -124 q^{-70} -43 q^{-72} +108 q^{-74} +94 q^{-76} +28 q^{-78} -102 q^{-80} -111 q^{-82} +17 q^{-84} +78 q^{-86} +103 q^{-88} -13 q^{-90} -99 q^{-92} -60 q^{-94} - q^{-96} +92 q^{-98} +57 q^{-100} -21 q^{-102} -55 q^{-104} -58 q^{-106} +23 q^{-108} +48 q^{-110} +29 q^{-112} -4 q^{-114} -43 q^{-116} -16 q^{-118} +6 q^{-120} +20 q^{-122} +17 q^{-124} -9 q^{-126} -9 q^{-128} -7 q^{-130} + q^{-132} +7 q^{-134} + q^{-136} -2 q^{-140} - q^{-142} + q^{-144} }
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^{95}+2 q^{93}-2 q^{89}+2 q^{87}-q^{85}-q^{83}+2 q^{81}-3 q^{77}-q^{73}+6 q^{69}+8 q^{67}-18 q^{63}-17 q^{61}+3 q^{59}+27 q^{57}+42 q^{55}+2 q^{53}-64 q^{51}-72 q^{49}+5 q^{47}+100 q^{45}+122 q^{43}+9 q^{41}-167 q^{39}-205 q^{37}-17 q^{35}+244 q^{33}+303 q^{31}+56 q^{29}-318 q^{27}-446 q^{25}-132 q^{23}+379 q^{21}+595 q^{19}+251 q^{17}-382 q^{15}-720 q^{13}-422 q^{11}+304 q^9+801 q^7+602 q^5-146 q^3-774 q-739 q^{-1} -92 q^{-3} +627 q^{-5} +812 q^{-7} +332 q^{-9} -376 q^{-11} -743 q^{-13} -531 q^{-15} +64 q^{-17} +577 q^{-19} +630 q^{-21} +232 q^{-23} -322 q^{-25} -624 q^{-27} -447 q^{-29} +61 q^{-31} +525 q^{-33} +571 q^{-35} +150 q^{-37} -399 q^{-39} -599 q^{-41} -276 q^{-43} +276 q^{-45} +571 q^{-47} +335 q^{-49} -212 q^{-51} -536 q^{-53} -336 q^{-55} +185 q^{-57} +517 q^{-59} +337 q^{-61} -181 q^{-63} -538 q^{-65} -365 q^{-67} +185 q^{-69} +564 q^{-71} +418 q^{-73} -130 q^{-75} -590 q^{-77} -519 q^{-79} +46 q^{-81} +573 q^{-83} +600 q^{-85} +114 q^{-87} -487 q^{-89} -677 q^{-91} -285 q^{-93} +337 q^{-95} +670 q^{-97} +458 q^{-99} -116 q^{-101} -588 q^{-103} -571 q^{-105} -121 q^{-107} +405 q^{-109} +604 q^{-111} +328 q^{-113} -170 q^{-115} -515 q^{-117} -466 q^{-119} -81 q^{-121} +343 q^{-123} +487 q^{-125} +269 q^{-127} -113 q^{-129} -390 q^{-131} -375 q^{-133} -96 q^{-135} +226 q^{-137} +358 q^{-139} +231 q^{-141} -32 q^{-143} -252 q^{-145} -277 q^{-147} -111 q^{-149} +110 q^{-151} +224 q^{-153} +177 q^{-155} +25 q^{-157} -127 q^{-159} -171 q^{-161} -95 q^{-163} +28 q^{-165} +110 q^{-167} +107 q^{-169} +38 q^{-171} -43 q^{-173} -79 q^{-175} -58 q^{-177} -3 q^{-179} +38 q^{-181} +44 q^{-183} +25 q^{-185} -7 q^{-187} -26 q^{-189} -21 q^{-191} -4 q^{-193} +6 q^{-195} +11 q^{-197} +9 q^{-199} - q^{-201} -5 q^{-203} -3 q^{-205} - q^{-207} +2 q^{-211} + q^{-213} - q^{-215} }

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^6-2 q^4+q^2-1+2 q^{-4} + q^{-6} +3 q^{-8} + q^{-14} -2 q^{-16} - q^{-22} }
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}-4 q^{26}+8 q^{24}-12 q^{22}+20 q^{20}-32 q^{18}+42 q^{16}-50 q^{14}+62 q^{12}-78 q^{10}+82 q^8-86 q^6+92 q^4-94 q^2+86-70 q^{-2} +55 q^{-4} -24 q^{-6} -14 q^{-8} +66 q^{-10} -111 q^{-12} +172 q^{-14} -212 q^{-16} +246 q^{-18} -262 q^{-20} +258 q^{-22} -234 q^{-24} +184 q^{-26} -131 q^{-28} +70 q^{-30} -4 q^{-32} -60 q^{-34} +104 q^{-36} -136 q^{-38} +154 q^{-40} -156 q^{-42} +138 q^{-44} -112 q^{-46} +86 q^{-48} -58 q^{-50} +33 q^{-52} -18 q^{-54} +8 q^{-56} -2 q^{-58} + q^{-60} }
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^{26}-q^{24}-2 q^{22}+2 q^{20}+3 q^{18}-2 q^{16}-5 q^{14}+3 q^{12}+4 q^{10}-7 q^8-4 q^6+8 q^4+4 q^2-5- q^{-2} +5 q^{-4} + q^{-6} -4 q^{-8} + q^{-10} +2 q^{-12} - q^{-14} +6 q^{-16} +5 q^{-18} - q^{-20} - q^{-22} +5 q^{-24} + q^{-26} -6 q^{-28} -4 q^{-30} +4 q^{-32} + q^{-34} -7 q^{-36} -3 q^{-38} +3 q^{-40} +2 q^{-42} -3 q^{-44} -2 q^{-46} +3 q^{-48} +2 q^{-50} - q^{-52} - q^{-54} + q^{-58} }

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^{22}-2 q^{20}-q^{18}+5 q^{16}-3 q^{14}-4 q^{12}+8 q^{10}-2 q^8-8 q^6+7 q^4-8+5 q^{-2} +3 q^{-4} -4 q^{-6} +2 q^{-8} +5 q^{-10} +4 q^{-12} -3 q^{-14} +4 q^{-16} +8 q^{-18} -5 q^{-20} +7 q^{-24} -7 q^{-26} -3 q^{-28} +3 q^{-30} -7 q^{-32} -2 q^{-34} +3 q^{-36} -3 q^{-38} + q^{-40} +2 q^{-42} - q^{-44} + q^{-46} }
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}+q^7-2 q^5+q^3-2 q+2 q^{-5} +2 q^{-7} +2 q^{-9} +3 q^{-11} + q^{-15} - q^{-17} + q^{-19} -2 q^{-21} - q^{-25} - q^{-29} }

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^{22}+2 q^{20}-3 q^{18}+5 q^{16}-7 q^{14}+8 q^{12}-10 q^{10}+10 q^8-10 q^6+9 q^4-6 q^2+2+3 q^{-2} -7 q^{-4} +14 q^{-6} -16 q^{-8} +21 q^{-10} -20 q^{-12} +21 q^{-14} -18 q^{-16} +14 q^{-18} -9 q^{-20} +4 q^{-22} + q^{-24} -5 q^{-26} +9 q^{-28} -11 q^{-30} +11 q^{-32} -10 q^{-34} +9 q^{-36} -7 q^{-38} +5 q^{-40} -4 q^{-42} + q^{-44} - q^{-46} }
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^{36}-2 q^{32}-2 q^{30}+q^{28}+5 q^{26}+2 q^{24}-5 q^{22}-6 q^{20}+q^{18}+9 q^{16}+4 q^{14}-7 q^{12}-9 q^{10}+q^8+10 q^6+3 q^4-8 q^2-7+5 q^{-2} +9 q^{-4} - q^{-6} -9 q^{-8} - q^{-10} +8 q^{-12} +5 q^{-14} -5 q^{-16} -3 q^{-18} +5 q^{-20} +6 q^{-22} -3 q^{-24} -4 q^{-26} +5 q^{-28} +9 q^{-30} - q^{-32} -10 q^{-34} -3 q^{-36} +10 q^{-38} +8 q^{-40} -6 q^{-42} -13 q^{-44} - q^{-46} +10 q^{-48} +4 q^{-50} -8 q^{-52} -9 q^{-54} +2 q^{-56} +7 q^{-58} + q^{-60} -5 q^{-62} -3 q^{-64} +3 q^{-66} +3 q^{-68} - q^{-70} - q^{-72} + q^{-76} }

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^{52}-2 q^{50}+3 q^{48}-4 q^{46}+2 q^{44}-q^{42}-2 q^{40}+8 q^{38}-11 q^{36}+14 q^{34}-13 q^{32}+6 q^{30}-10 q^{26}+20 q^{24}-26 q^{22}+25 q^{20}-18 q^{18}+6 q^{16}+9 q^{14}-20 q^{12}+30 q^{10}-31 q^8+22 q^6-10 q^4-7 q^2+20-24 q^{-2} +21 q^{-4} -9 q^{-6} -5 q^{-8} +16 q^{-10} -21 q^{-12} +9 q^{-14} +10 q^{-16} -28 q^{-18} +38 q^{-20} -32 q^{-22} +12 q^{-24} +22 q^{-26} -45 q^{-28} +60 q^{-30} -53 q^{-32} +30 q^{-34} +7 q^{-36} -36 q^{-38} +56 q^{-40} -49 q^{-42} +34 q^{-44} -5 q^{-46} -18 q^{-48} +32 q^{-50} -29 q^{-52} +16 q^{-54} +4 q^{-56} -24 q^{-58} +29 q^{-60} -21 q^{-62} + q^{-64} +22 q^{-66} -40 q^{-68} +44 q^{-70} -34 q^{-72} +6 q^{-74} +20 q^{-76} -42 q^{-78} +47 q^{-80} -37 q^{-82} +15 q^{-84} +5 q^{-86} -22 q^{-88} +27 q^{-90} -23 q^{-92} +13 q^{-94} -2 q^{-96} -5 q^{-98} +6 q^{-100} -6 q^{-102} +4 q^{-104} - q^{-106} + q^{-108} }