10 155 Quantum Invariants

Further quantum knot invariants for 10_155.

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^5-q^3+2 q- q^{-7} + q^{-9} - q^{-11} + q^{-13} }
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^{14}+q^{10}-4 q^6+2 q^4+3 q^2-3+ q^{-2} +3 q^{-4} - q^{-6} -3 q^{-8} +2 q^{-10} +2 q^{-12} -2 q^{-14} + q^{-16} +3 q^{-18} -2 q^{-20} -3 q^{-22} +3 q^{-24} -4 q^{-28} +2 q^{-30} +3 q^{-32} -2 q^{-34} - q^{-36} + q^{-38} }
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 2 q^{27}-q^{23}-3 q^{21}+6 q^{17}+3 q^{15}-7 q^{13}-10 q^{11}+4 q^9+15 q^7-q^5-14 q^3-4 q+13 q^{-1} +11 q^{-3} -5 q^{-5} -9 q^{-7} -2 q^{-9} +8 q^{-11} +5 q^{-13} -5 q^{-15} -9 q^{-17} +5 q^{-19} +9 q^{-21} -5 q^{-23} -10 q^{-25} +4 q^{-27} +11 q^{-29} -3 q^{-31} -12 q^{-33} +12 q^{-37} +4 q^{-39} -9 q^{-41} -9 q^{-43} +6 q^{-45} +12 q^{-47} + q^{-49} -11 q^{-51} -7 q^{-53} +7 q^{-55} +9 q^{-57} - q^{-59} -8 q^{-61} -4 q^{-63} +4 q^{-65} +4 q^{-67} -2 q^{-71} - q^{-73} + q^{-75} }
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^{69}+q^{67}+q^{65}-3 q^{63}-q^{61}+q^{59}-4 q^{53}-8 q^{51}+2 q^{49}+20 q^{47}+24 q^{45}+2 q^{43}-38 q^{41}-64 q^{39}-36 q^{37}+54 q^{35}+128 q^{33}+104 q^{31}-33 q^{29}-179 q^{27}-201 q^{25}-41 q^{23}+193 q^{21}+293 q^{19}+147 q^{17}-145 q^{15}-329 q^{13}-255 q^{11}+33 q^9+299 q^7+315 q^5+81 q^3-198 q-300 q^{-1} -166 q^{-3} +74 q^{-5} +233 q^{-7} +199 q^{-9} +28 q^{-11} -130 q^{-13} -174 q^{-15} -96 q^{-17} +34 q^{-19} +126 q^{-21} +116 q^{-23} +26 q^{-25} -70 q^{-27} -108 q^{-29} -57 q^{-31} +45 q^{-33} +98 q^{-35} +54 q^{-37} -40 q^{-39} -92 q^{-41} -43 q^{-43} +59 q^{-45} +102 q^{-47} +30 q^{-49} -88 q^{-51} -130 q^{-53} -33 q^{-55} +113 q^{-57} +164 q^{-59} +56 q^{-61} -125 q^{-63} -203 q^{-65} -98 q^{-67} +112 q^{-69} +235 q^{-71} +155 q^{-73} -65 q^{-75} -241 q^{-77} -215 q^{-79} -7 q^{-81} +210 q^{-83} +258 q^{-85} +96 q^{-87} -136 q^{-89} -262 q^{-91} -184 q^{-93} +33 q^{-95} +215 q^{-97} +228 q^{-99} +80 q^{-101} -115 q^{-103} -219 q^{-105} -162 q^{-107} +148 q^{-111} +182 q^{-113} +97 q^{-115} -41 q^{-117} -142 q^{-119} -142 q^{-121} -52 q^{-123} +58 q^{-125} +118 q^{-127} +102 q^{-129} +27 q^{-131} -57 q^{-133} -94 q^{-135} -68 q^{-137} -7 q^{-139} +45 q^{-141} +66 q^{-143} +44 q^{-145} -34 q^{-149} -40 q^{-151} -24 q^{-153} - q^{-155} +21 q^{-157} +23 q^{-159} +11 q^{-161} -2 q^{-163} -8 q^{-165} -10 q^{-167} -6 q^{-169} +2 q^{-171} +4 q^{-173} +3 q^{-175} + q^{-177} -2 q^{-181} - q^{-183} + q^{-185} }
6	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^{96}+2 q^{94}-q^{90}-4 q^{88}-q^{86}-q^{84}-2 q^{82}+4 q^{80}+4 q^{78}+6 q^{76}+2 q^{74}+4 q^{72}-9 q^{70}-29 q^{68}-29 q^{66}-12 q^{64}+32 q^{62}+83 q^{60}+114 q^{58}+49 q^{56}-95 q^{54}-227 q^{52}-256 q^{50}-109 q^{48}+188 q^{46}+482 q^{44}+502 q^{42}+168 q^{40}-369 q^{38}-799 q^{36}-788 q^{34}-229 q^{32}+614 q^{30}+1163 q^{28}+1022 q^{26}+212 q^{24}-828 q^{22}-1450 q^{20}-1183 q^{18}-138 q^{16}+1006 q^{14}+1553 q^{12}+1168 q^{10}+86 q^8-1044 q^6-1503 q^4-1040 q^2-18+935 q^{-2} +1286 q^{-4} +885 q^{-6} +14 q^{-8} -754 q^{-10} -1008 q^{-12} -688 q^{-14} -56 q^{-16} +526 q^{-18} +750 q^{-20} +542 q^{-22} +87 q^{-24} -347 q^{-26} -534 q^{-28} -430 q^{-30} -103 q^{-32} +242 q^{-34} +413 q^{-36} +319 q^{-38} +43 q^{-40} -220 q^{-42} -316 q^{-44} -177 q^{-46} +74 q^{-48} +252 q^{-50} +197 q^{-52} -34 q^{-54} -236 q^{-56} -239 q^{-58} -5 q^{-60} +273 q^{-62} +369 q^{-64} +137 q^{-66} -263 q^{-68} -508 q^{-70} -388 q^{-72} +71 q^{-74} +541 q^{-76} +678 q^{-78} +306 q^{-80} -344 q^{-82} -800 q^{-84} -729 q^{-86} -134 q^{-88} +604 q^{-90} +994 q^{-92} +713 q^{-94} -75 q^{-96} -842 q^{-98} -1092 q^{-100} -645 q^{-102} +234 q^{-104} +1010 q^{-106} +1152 q^{-108} +565 q^{-110} -363 q^{-112} -1079 q^{-114} -1155 q^{-116} -538 q^{-118} +413 q^{-120} +1099 q^{-122} +1125 q^{-124} +518 q^{-126} -363 q^{-128} -1030 q^{-130} -1097 q^{-132} -540 q^{-134} +276 q^{-136} +895 q^{-138} +1011 q^{-140} +596 q^{-142} -124 q^{-144} -727 q^{-146} -902 q^{-148} -613 q^{-150} -46 q^{-152} +500 q^{-154} +766 q^{-156} +614 q^{-158} +187 q^{-160} -282 q^{-162} -572 q^{-164} -569 q^{-166} -303 q^{-168} +90 q^{-170} +378 q^{-172} +468 q^{-174} +336 q^{-176} +77 q^{-178} -194 q^{-180} -346 q^{-182} -310 q^{-184} -159 q^{-186} +48 q^{-188} +196 q^{-190} +252 q^{-192} +179 q^{-194} +39 q^{-196} -82 q^{-198} -156 q^{-200} -148 q^{-202} -88 q^{-204} +14 q^{-206} +76 q^{-208} +95 q^{-210} +75 q^{-212} +29 q^{-214} -17 q^{-216} -56 q^{-218} -46 q^{-220} -30 q^{-222} -5 q^{-224} +15 q^{-226} +25 q^{-228} +22 q^{-230} +5 q^{-232} -8 q^{-236} -9 q^{-238} -8 q^{-240} +4 q^{-244} + q^{-246} +3 q^{-248} + q^{-250} -2 q^{-254} - q^{-256} + q^{-258} }

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^6+2 q^2+1-2 q^{-6} - q^{-10} + q^{-14} + q^{-18} }
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^{20}-2 q^{18}+4 q^{16}-2 q^{14}+5 q^{12}-2 q^{10}-2 q^8+2 q^6+2 q^2+8-16 q^{-2} +22 q^{-4} -30 q^{-6} +22 q^{-8} -22 q^{-10} +8 q^{-12} +8 q^{-14} -14 q^{-16} +34 q^{-18} -34 q^{-20} +46 q^{-22} -44 q^{-24} +40 q^{-26} -39 q^{-28} +20 q^{-30} -10 q^{-32} -8 q^{-34} +19 q^{-36} -26 q^{-38} +32 q^{-40} -24 q^{-42} +19 q^{-44} -14 q^{-46} +6 q^{-48} -2 q^{-50} + q^{-52} }
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^{16}+q^{14}+3 q^{12}+q^{10}-q^8-q^2-3- q^{-2} + q^{-4} - q^{-6} - q^{-8} + q^{-10} +2 q^{-12} + q^{-14} +3 q^{-16} +2 q^{-18} +2 q^{-20} + q^{-22} - q^{-26} -4 q^{-28} - q^{-30} - q^{-34} - q^{-36} + q^{-38} +2 q^{-40} - q^{-44} + q^{-48} }

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^{16}-q^{14}-q^{12}+2 q^{10}+q^8-q^6+4 q^4+3 q^2+3 q^{-2} -3 q^{-6} -2 q^{-8} -3 q^{-10} -2 q^{-12} -3 q^{-14} +3 q^{-18} + q^{-20} +2 q^{-22} +4 q^{-24} - q^{-28} + q^{-30} -3 q^{-32} + q^{-36} - q^{-38} + q^{-40} }
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^7+3 q^3+q+2 q^{-1} - q^{-5} -2 q^{-7} -2 q^{-9} - q^{-11} - q^{-13} + q^{-15} +2 q^{-19} + q^{-23} }
1,0,1	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^{26}-2 q^{24}+q^{22}+3 q^{20}-2 q^{18}+6 q^{16}-2 q^{14}+2 q^{12}-2 q^{10}+3 q^8+3 q^6+4 q^4+15 q^2-8+14 q^{-2} -25 q^{-4} +2 q^{-6} -22 q^{-8} -12 q^{-10} +9 q^{-12} -18 q^{-14} +37 q^{-16} -15 q^{-18} +35 q^{-20} -11 q^{-22} +13 q^{-24} +4 q^{-26} -15 q^{-28} +21 q^{-30} -27 q^{-32} +22 q^{-34} -25 q^{-36} +12 q^{-38} -14 q^{-40} -3 q^{-42} +8 q^{-44} -14 q^{-46} +21 q^{-48} -13 q^{-50} +15 q^{-52} -5 q^{-54} -2 q^{-56} +4 q^{-58} -7 q^{-60} +5 q^{-62} -2 q^{-64} + q^{-66} }

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^{18}-q^{14}+q^{12}+3 q^{10}-q^8+2 q^6+6 q^4+5 q^2+1+2 q^{-2} +2 q^{-4} -4 q^{-6} -6 q^{-8} -3 q^{-10} -4 q^{-12} -8 q^{-14} - q^{-16} + q^{-18} -2 q^{-20} +3 q^{-22} +8 q^{-24} +5 q^{-26} +2 q^{-28} +3 q^{-30} +2 q^{-32} -3 q^{-34} -4 q^{-36} - q^{-38} - q^{-40} - q^{-42} + q^{-44} + q^{-46} + q^{-50} }
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^8+3 q^4+2 q^2+2+2 q^{-2} - q^{-6} -3 q^{-8} -2 q^{-10} -3 q^{-12} - q^{-14} - q^{-16} + q^{-18} + q^{-20} + q^{-22} +2 q^{-24} + q^{-28} }

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^{16}-q^{14}+q^{12}-2 q^{10}+3 q^8-3 q^6+6 q^4-q^2+2+ q^{-2} + q^{-6} -6 q^{-8} +5 q^{-10} -8 q^{-12} +5 q^{-14} -6 q^{-16} +5 q^{-18} -3 q^{-20} +2 q^{-22} +2 q^{-24} -2 q^{-26} +3 q^{-28} -3 q^{-30} +3 q^{-32} -4 q^{-34} +3 q^{-36} - q^{-38} + q^{-40} }
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^{26}-q^{22}-q^{20}+2 q^{16}+2 q^{14}-2 q^{10}-q^8+5 q^6+2 q^4-q^2-2+2 q^{-2} +3 q^{-4} -4 q^{-8} -2 q^{-10} +3 q^{-12} -3 q^{-16} -3 q^{-18} + q^{-20} + q^{-22} - q^{-24} -2 q^{-26} + q^{-28} +3 q^{-30} + q^{-32} -2 q^{-34} - q^{-36} +4 q^{-38} +4 q^{-40} - q^{-42} -4 q^{-44} +3 q^{-48} + q^{-50} -3 q^{-52} -3 q^{-54} +2 q^{-56} +2 q^{-58} - q^{-60} - q^{-62} + q^{-66} }

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^{22}-q^{20}-q^{16}+2 q^{14}-q^{12}+2 q^{10}-2 q^8+6 q^6+5 q^2+2+3 q^{-2} + q^{-4} -6 q^{-10} -9 q^{-14} + q^{-16} -8 q^{-18} +3 q^{-20} -5 q^{-22} +5 q^{-24} - q^{-26} +6 q^{-28} +2 q^{-30} +3 q^{-32} +2 q^{-34} - q^{-36} +3 q^{-38} -3 q^{-40} + q^{-42} -4 q^{-44} +3 q^{-46} -3 q^{-48} +2 q^{-50} - q^{-52} + q^{-54} }

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^{38}-q^{36}+q^{34}-q^{32}+q^{28}-2 q^{26}+2 q^{24}-q^{18}+q^{16}-q^{14}+2 q^{12}+3 q^{10}-2 q^8+7 q^6-6 q^4+5 q^2+5-8 q^{-2} +13 q^{-4} -9 q^{-6} +2 q^{-8} +7 q^{-10} -11 q^{-12} +9 q^{-14} -4 q^{-16} -5 q^{-18} +7 q^{-20} -10 q^{-22} +2 q^{-24} +2 q^{-26} -11 q^{-28} +10 q^{-30} -11 q^{-32} +4 q^{-34} + q^{-36} -7 q^{-38} +10 q^{-40} -12 q^{-42} +11 q^{-44} -5 q^{-46} -2 q^{-48} +9 q^{-50} -11 q^{-52} +11 q^{-54} - q^{-56} -5 q^{-58} +10 q^{-60} -8 q^{-62} +3 q^{-64} +7 q^{-66} -12 q^{-68} +12 q^{-70} -6 q^{-72} -2 q^{-74} +9 q^{-76} -11 q^{-78} +10 q^{-80} -5 q^{-82} - q^{-84} +3 q^{-86} -5 q^{-88} +3 q^{-90} - q^{-92} + q^{-94} }