10 10 Quantum Invariants

Further quantum knot invariants for 10_10.

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-q^3+2 q- q^{-1} + q^{-5} - q^{-7} +2 q^{-9} - 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}-q^{16}+4 q^{14}-3 q^{12}+4 q^8-5 q^6+q^4+5 q^2-4+5 q^{-4} - q^{-6} -3 q^{-8} +2 q^{-10} +3 q^{-12} -3 q^{-14} -2 q^{-16} +5 q^{-18} -2 q^{-20} -5 q^{-22} +5 q^{-24} + q^{-26} -6 q^{-28} +4 q^{-30} +4 q^{-32} -5 q^{-34} +3 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}+q^{35}-2 q^{33}-3 q^{31}+q^{29}+6 q^{27}-2 q^{25}-4 q^{23}-2 q^{21}+4 q^{19}+2 q^{17}-5 q^{13}-4 q^{11}+6 q^9+9 q^7-2 q^5-11 q^3+12 q^{-1} +6 q^{-3} -8 q^{-5} -8 q^{-7} +11 q^{-11} +6 q^{-13} -10 q^{-15} -10 q^{-17} +7 q^{-19} +13 q^{-21} -6 q^{-23} -14 q^{-25} +3 q^{-27} +14 q^{-29} -12 q^{-33} -2 q^{-35} +11 q^{-37} +7 q^{-39} -9 q^{-41} -11 q^{-43} +4 q^{-45} +13 q^{-47} + q^{-49} -14 q^{-51} -9 q^{-53} +12 q^{-55} +13 q^{-57} -5 q^{-59} -15 q^{-61} + q^{-63} +14 q^{-65} +4 q^{-67} -10 q^{-69} -7 q^{-71} +5 q^{-73} +6 q^{-75} -2 q^{-77} -4 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}-q^{60}+2 q^{58}+q^{56}+5 q^{54}-7 q^{52}-5 q^{50}+q^{48}+4 q^{46}+18 q^{44}-11 q^{42}-15 q^{40}-8 q^{38}+7 q^{36}+37 q^{34}-4 q^{32}-28 q^{30}-33 q^{28}+2 q^{26}+63 q^{24}+23 q^{22}-32 q^{20}-65 q^{18}-21 q^{16}+77 q^{14}+61 q^{12}-12 q^{10}-85 q^8-59 q^6+57 q^4+79 q^2+31-57 q^{-2} -78 q^{-4} +2 q^{-6} +49 q^{-8} +55 q^{-10} +2 q^{-12} -49 q^{-14} -37 q^{-16} -9 q^{-18} +38 q^{-20} +47 q^{-22} + q^{-24} -41 q^{-26} -42 q^{-28} +11 q^{-30} +55 q^{-32} +27 q^{-34} -38 q^{-36} -51 q^{-38} +56 q^{-42} +35 q^{-44} -40 q^{-46} -53 q^{-48} -6 q^{-50} +56 q^{-52} +48 q^{-54} -30 q^{-56} -55 q^{-58} -27 q^{-60} +38 q^{-62} +58 q^{-64} - q^{-66} -31 q^{-68} -42 q^{-70} -4 q^{-72} +39 q^{-74} +22 q^{-76} +13 q^{-78} -27 q^{-80} -35 q^{-82} -4 q^{-84} +8 q^{-86} +42 q^{-88} +15 q^{-90} -22 q^{-92} -30 q^{-94} -29 q^{-96} +28 q^{-98} +38 q^{-100} +15 q^{-102} -15 q^{-104} -45 q^{-106} -6 q^{-108} +20 q^{-110} +27 q^{-112} +12 q^{-114} -25 q^{-116} -17 q^{-118} -4 q^{-120} +12 q^{-122} +16 q^{-124} -4 q^{-126} -6 q^{-128} -6 q^{-130} +6 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}+q^{91}-2 q^{89}-q^{87}-3 q^{85}+q^{83}+6 q^{81}+6 q^{79}-4 q^{77}-10 q^{75}-10 q^{73}+2 q^{71}+19 q^{69}+19 q^{67}-32 q^{63}-32 q^{61}+2 q^{59}+41 q^{57}+55 q^{55}+9 q^{53}-68 q^{51}-83 q^{49}-11 q^{47}+81 q^{45}+114 q^{43}+34 q^{41}-112 q^{39}-160 q^{37}-42 q^{35}+137 q^{33}+203 q^{31}+69 q^{29}-161 q^{27}-261 q^{25}-103 q^{23}+180 q^{21}+316 q^{19}+152 q^{17}-172 q^{15}-354 q^{13}-219 q^{11}+135 q^9+373 q^7+281 q^5-61 q^3-345 q-325 q^{-1} -34 q^{-3} +268 q^{-5} +333 q^{-7} +131 q^{-9} -158 q^{-11} -292 q^{-13} -193 q^{-15} +30 q^{-17} +210 q^{-19} +224 q^{-21} +77 q^{-23} -114 q^{-25} -207 q^{-27} -145 q^{-29} +19 q^{-31} +172 q^{-33} +180 q^{-35} +37 q^{-37} -137 q^{-39} -184 q^{-41} -65 q^{-43} +111 q^{-45} +183 q^{-47} +74 q^{-49} -114 q^{-51} -185 q^{-53} -69 q^{-55} +124 q^{-57} +205 q^{-59} +80 q^{-61} -137 q^{-63} -235 q^{-65} -107 q^{-67} +139 q^{-69} +264 q^{-71} +147 q^{-73} -116 q^{-75} -283 q^{-77} -199 q^{-79} +71 q^{-81} +282 q^{-83} +241 q^{-85} -6 q^{-87} -248 q^{-89} -273 q^{-91} -66 q^{-93} +190 q^{-95} +273 q^{-97} +126 q^{-99} -108 q^{-101} -237 q^{-103} -166 q^{-105} +21 q^{-107} +170 q^{-109} +173 q^{-111} +46 q^{-113} -80 q^{-115} -131 q^{-117} -90 q^{-119} -2 q^{-121} +69 q^{-123} +84 q^{-125} +53 q^{-127} +10 q^{-129} -41 q^{-131} -74 q^{-133} -66 q^{-135} -19 q^{-137} +43 q^{-139} +87 q^{-141} +77 q^{-143} +7 q^{-145} -71 q^{-147} -101 q^{-149} -58 q^{-151} +28 q^{-153} +92 q^{-155} +90 q^{-157} +21 q^{-159} -58 q^{-161} -90 q^{-163} -52 q^{-165} +16 q^{-167} +63 q^{-169} +62 q^{-171} +16 q^{-173} -34 q^{-175} -51 q^{-177} -27 q^{-179} +7 q^{-181} +29 q^{-183} +28 q^{-185} +6 q^{-187} -14 q^{-189} -17 q^{-191} -7 q^{-193} +2 q^{-195} +8 q^{-197} +8 q^{-199} -4 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-q^4+2 q^2- q^{-6} + q^{-8} + q^{-12} +2 q^{-14} - 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}+18 q^{20}-28 q^{18}+34 q^{16}-36 q^{14}+39 q^{12}-42 q^{10}+42 q^8-34 q^6+32 q^4-32 q^2+30-24 q^{-2} +21 q^{-4} -12 q^{-6} +22 q^{-10} -44 q^{-12} +76 q^{-14} -102 q^{-16} +124 q^{-18} -137 q^{-20} +146 q^{-22} -140 q^{-24} +116 q^{-26} -91 q^{-28} +54 q^{-30} -20 q^{-32} -22 q^{-34} +56 q^{-36} -74 q^{-38} +92 q^{-40} -92 q^{-42} +85 q^{-44} -70 q^{-46} +52 q^{-48} -38 q^{-50} +21 q^{-52} -12 q^{-54} +6 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}+q^{20}+2 q^{18}-q^{16}-3 q^{14}+4 q^{12}+4 q^{10}-5 q^8-4 q^6+5 q^4+2 q^2-3+4 q^{-4} +2 q^{-6} - q^{-8} +2 q^{-10} + q^{-12} - q^{-14} +3 q^{-16} + q^{-18} -4 q^{-20} -2 q^{-22} +2 q^{-24} -4 q^{-28} -2 q^{-30} +4 q^{-32} +3 q^{-34} -2 q^{-36} - q^{-38} +3 q^{-40} +2 q^{-42} -2 q^{-44} -3 q^{-46} + q^{-48} + 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}+4 q^{16}-3 q^{14}-2 q^{12}+6 q^{10}-q^8-4 q^6+6 q^4+q^2-4+3 q^{-2} + q^{-4} -3 q^{-6} - q^{-8} +2 q^{-10} +2 q^{-12} -3 q^{-14} +2 q^{-16} +5 q^{-18} -3 q^{-20} + q^{-22} +5 q^{-24} -3 q^{-26} +2 q^{-30} -4 q^{-32} - q^{-34} + q^{-36} -3 q^{-38} + q^{-40} + 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-q^5+2 q^3+ q^{-1} - q^{-7} - q^{-9} + q^{-11} +2 q^{-15} + q^{-17} +2 q^{-19} - 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}+4 q^{16}-5 q^{14}+6 q^{12}-6 q^{10}+7 q^8-6 q^6+6 q^4-3 q^2+3 q^{-2} -5 q^{-4} +9 q^{-6} -11 q^{-8} +14 q^{-10} -14 q^{-12} +13 q^{-14} -12 q^{-16} +9 q^{-18} -7 q^{-20} +3 q^{-22} + q^{-24} -3 q^{-26} +6 q^{-28} -6 q^{-30} +8 q^{-32} -7 q^{-34} +7 q^{-36} -5 q^{-38} +3 q^{-40} -3 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}+4 q^{26}+q^{24}-4 q^{22}-4 q^{20}+2 q^{18}+6 q^{16}+3 q^{14}-4 q^{12}-5 q^{10}+q^8+7 q^6+2 q^4-5 q^2-4+3 q^{-2} +5 q^{-4} - q^{-6} -6 q^{-8} - q^{-10} +5 q^{-12} +3 q^{-14} -3 q^{-16} -2 q^{-18} +3 q^{-20} +3 q^{-22} -2 q^{-24} -3 q^{-26} +3 q^{-28} +5 q^{-30} - q^{-32} -7 q^{-34} -2 q^{-36} +7 q^{-38} +6 q^{-40} -3 q^{-42} -8 q^{-44} +7 q^{-48} +4 q^{-50} -5 q^{-52} -6 q^{-54} + q^{-56} +5 q^{-58} -4 q^{-62} -2 q^{-64} +2 q^{-66} +2 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}+q^{44}-3 q^{40}+8 q^{38}-10 q^{36}+11 q^{34}-7 q^{32}+q^{30}+5 q^{28}-10 q^{26}+14 q^{24}-14 q^{22}+11 q^{20}-6 q^{18}-2 q^{16}+9 q^{14}-10 q^{12}+13 q^{10}-11 q^8+8 q^6-3 q^4-3 q^2+9-10 q^{-2} +9 q^{-4} -3 q^{-6} - q^{-8} +6 q^{-10} -7 q^{-12} +3 q^{-14} +5 q^{-16} -13 q^{-18} +15 q^{-20} -14 q^{-22} + q^{-24} +14 q^{-26} -26 q^{-28} +28 q^{-30} -23 q^{-32} +10 q^{-34} +6 q^{-36} -22 q^{-38} +29 q^{-40} -26 q^{-42} +18 q^{-44} -2 q^{-46} -10 q^{-48} +19 q^{-50} -13 q^{-52} +12 q^{-54} -10 q^{-58} +14 q^{-60} -9 q^{-62} +13 q^{-66} -22 q^{-68} +24 q^{-70} -15 q^{-72} - q^{-74} +15 q^{-76} -27 q^{-78} +27 q^{-80} -21 q^{-82} +6 q^{-84} +5 q^{-86} -15 q^{-88} +17 q^{-90} -14 q^{-92} +8 q^{-94} - q^{-96} -3 q^{-98} +3 q^{-100} -4 q^{-102} +3 q^{-104} - q^{-106} + q^{-108} }