10 23 Quantum Invariants

Further quantum knot invariants for 10_23.

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+2 q^3-2 q+3 q^{-1} - q^{-3} + q^{-5} + q^{-7} -2 q^{-9} +3 q^{-11} -2 q^{-13} + q^{-15} - q^{-17} }
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^{16}-2 q^{14}-q^{12}+6 q^{10}-5 q^8-7 q^6+13 q^4-q^2-14+15 q^{-2} +5 q^{-4} -16 q^{-6} +8 q^{-8} +8 q^{-10} -8 q^{-12} -2 q^{-14} +7 q^{-16} +4 q^{-18} -13 q^{-20} +2 q^{-22} +14 q^{-24} -15 q^{-26} -4 q^{-28} +16 q^{-30} -8 q^{-32} -5 q^{-34} +9 q^{-36} -3 q^{-38} -3 q^{-40} +3 q^{-42} - q^{-44} - q^{-46} + q^{-48} }
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^{33}+2 q^{31}+q^{29}-3 q^{27}-3 q^{25}+5 q^{23}+9 q^{21}-9 q^{19}-17 q^{17}+7 q^{15}+28 q^{13}-40 q^9-15 q^7+49 q^5+32 q^3-46 q-54 q^{-1} +43 q^{-3} +70 q^{-5} -27 q^{-7} -77 q^{-9} +12 q^{-11} +78 q^{-13} +5 q^{-15} -67 q^{-17} -18 q^{-19} +53 q^{-21} +28 q^{-23} -33 q^{-25} -40 q^{-27} +11 q^{-29} +47 q^{-31} +11 q^{-33} -53 q^{-35} -32 q^{-37} +52 q^{-39} +54 q^{-41} -46 q^{-43} -69 q^{-45} +33 q^{-47} +72 q^{-49} -16 q^{-51} -69 q^{-53} -2 q^{-55} +60 q^{-57} +11 q^{-59} -40 q^{-61} -16 q^{-63} +26 q^{-65} +14 q^{-67} -14 q^{-69} -10 q^{-71} +7 q^{-73} +5 q^{-75} -4 q^{-77} -2 q^{-79} +2 q^{-81} + q^{-83} -2 q^{-85} + q^{-89} + q^{-91} - q^{-93} }
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^{56}-2 q^{54}-q^{52}+3 q^{50}+3 q^{46}-8 q^{44}-4 q^{42}+11 q^{40}+4 q^{38}+12 q^{36}-25 q^{34}-26 q^{32}+18 q^{30}+25 q^{28}+52 q^{26}-36 q^{24}-81 q^{22}-26 q^{20}+32 q^{18}+150 q^{16}+30 q^{14}-121 q^{12}-152 q^{10}-62 q^8+232 q^6+200 q^4-33 q^2-265-271 q^{-2} +177 q^{-4} +352 q^{-6} +172 q^{-8} -236 q^{-10} -442 q^{-12} -6 q^{-14} +348 q^{-16} +341 q^{-18} -86 q^{-20} -444 q^{-22} -167 q^{-24} +212 q^{-26} +356 q^{-28} +60 q^{-30} -300 q^{-32} -229 q^{-34} +47 q^{-36} +267 q^{-38} +156 q^{-40} -114 q^{-42} -235 q^{-44} -104 q^{-46} +149 q^{-48} +233 q^{-50} +81 q^{-52} -232 q^{-54} -257 q^{-56} +13 q^{-58} +292 q^{-60} +286 q^{-62} -170 q^{-64} -372 q^{-66} -167 q^{-68} +257 q^{-70} +442 q^{-72} -16 q^{-74} -351 q^{-76} -317 q^{-78} +87 q^{-80} +428 q^{-82} +148 q^{-84} -174 q^{-86} -322 q^{-88} -94 q^{-90} +255 q^{-92} +184 q^{-94} +11 q^{-96} -182 q^{-98} -143 q^{-100} +73 q^{-102} +99 q^{-104} +73 q^{-106} -48 q^{-108} -84 q^{-110} +16 q^{-114} +44 q^{-116} +2 q^{-118} -25 q^{-120} -2 q^{-122} -10 q^{-124} +12 q^{-126} +4 q^{-128} -3 q^{-130} +5 q^{-132} -7 q^{-134} + q^{-136} - q^{-140} +4 q^{-142} - q^{-144} - q^{-148} - q^{-150} + q^{-152} }
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^{85}+2 q^{83}+q^{81}-3 q^{79}+3 q^{71}+3 q^{69}-7 q^{67}-8 q^{65}+4 q^{63}+10 q^{61}+12 q^{59}+4 q^{57}-17 q^{55}-37 q^{53}-17 q^{51}+34 q^{49}+61 q^{47}+51 q^{45}-16 q^{43}-101 q^{41}-128 q^{39}-32 q^{37}+127 q^{35}+216 q^{33}+156 q^{31}-76 q^{29}-323 q^{27}-357 q^{25}-74 q^{23}+358 q^{21}+600 q^{19}+372 q^{17}-260 q^{15}-818 q^{13}-794 q^{11}-40 q^9+932 q^7+1247 q^5+520 q^3-807 q-1644 q^{-1} -1142 q^{-3} +480 q^{-5} +1864 q^{-7} +1736 q^{-9} +70 q^{-11} -1820 q^{-13} -2233 q^{-15} -682 q^{-17} +1552 q^{-19} +2486 q^{-21} +1251 q^{-23} -1093 q^{-25} -2482 q^{-27} -1674 q^{-29} +579 q^{-31} +2250 q^{-33} +1879 q^{-35} -102 q^{-37} -1852 q^{-39} -1886 q^{-41} -291 q^{-43} +1409 q^{-45} +1735 q^{-47} +562 q^{-49} -962 q^{-51} -1515 q^{-53} -745 q^{-55} +561 q^{-57} +1282 q^{-59} +888 q^{-61} -209 q^{-63} -1089 q^{-65} -1041 q^{-67} -121 q^{-69} +922 q^{-71} +1237 q^{-73} +485 q^{-75} -786 q^{-77} -1464 q^{-79} -883 q^{-81} +589 q^{-83} +1692 q^{-85} +1354 q^{-87} -308 q^{-89} -1859 q^{-91} -1820 q^{-93} -95 q^{-95} +1858 q^{-97} +2237 q^{-99} +607 q^{-101} -1657 q^{-103} -2506 q^{-105} -1132 q^{-107} +1234 q^{-109} +2517 q^{-111} +1602 q^{-113} -652 q^{-115} -2265 q^{-117} -1898 q^{-119} +45 q^{-121} +1786 q^{-123} +1919 q^{-125} +495 q^{-127} -1169 q^{-129} -1723 q^{-131} -838 q^{-133} +587 q^{-135} +1323 q^{-137} +940 q^{-139} -92 q^{-141} -882 q^{-143} -859 q^{-145} -195 q^{-147} +475 q^{-149} +652 q^{-151} +315 q^{-153} -178 q^{-155} -423 q^{-157} -302 q^{-159} +5 q^{-161} +233 q^{-163} +228 q^{-165} +64 q^{-167} -99 q^{-169} -145 q^{-171} -76 q^{-173} +25 q^{-175} +79 q^{-177} +60 q^{-179} +5 q^{-181} -35 q^{-183} -36 q^{-185} -17 q^{-187} +9 q^{-189} +24 q^{-191} +14 q^{-193} -2 q^{-195} -6 q^{-197} -10 q^{-199} -7 q^{-201} +5 q^{-203} +6 q^{-205} + q^{-207} +2 q^{-209} - q^{-211} -4 q^{-213} - q^{-215} + q^{-217} + q^{-221} + q^{-223} - q^{-225} }

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+q^4+2 q^{-2} -2 q^{-4} +2 q^{-6} + q^{-10} +2 q^{-12} - q^{-14} +2 q^{-16} - q^{-18} - q^{-20} - q^{-24} }
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}-4 q^{18}+10 q^{16}-22 q^{14}+44 q^{12}-76 q^{10}+116 q^8-168 q^6+224 q^4-276 q^2+308-318 q^{-2} +297 q^{-4} -230 q^{-6} +130 q^{-8} +10 q^{-10} -153 q^{-12} +310 q^{-14} -442 q^{-16} +548 q^{-18} -605 q^{-20} +612 q^{-22} -568 q^{-24} +476 q^{-26} -355 q^{-28} +210 q^{-30} -64 q^{-32} -68 q^{-34} +168 q^{-36} -238 q^{-38} +272 q^{-40} -278 q^{-42} +253 q^{-44} -218 q^{-46} +182 q^{-48} -140 q^{-50} +106 q^{-52} -76 q^{-54} +52 q^{-56} -36 q^{-58} +21 q^{-60} -12 q^{-62} +6 q^{-64} -2 q^{-66} + q^{-68} }
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^{18}-q^{16}-2 q^{14}+2 q^{12}+3 q^{10}-3 q^8-6 q^6+3 q^4+6 q^2-5-4 q^{-2} +8 q^{-4} +3 q^{-6} -5 q^{-8} + q^{-10} +7 q^{-12} - q^{-14} - q^{-16} +6 q^{-18} +2 q^{-20} -6 q^{-22} +3 q^{-24} +5 q^{-26} -8 q^{-28} -4 q^{-30} +6 q^{-32} +2 q^{-34} -7 q^{-36} -2 q^{-38} +6 q^{-40} -4 q^{-44} +2 q^{-48} - q^{-50} - q^{-52} + q^{-62} }

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^{14}-2 q^{12}+3 q^8-6 q^6+3 q^4+7 q^2-11+4 q^{-2} +10 q^{-4} -14 q^{-6} +2 q^{-8} +11 q^{-10} -7 q^{-12} - q^{-14} +8 q^{-16} +2 q^{-18} -2 q^{-20} +10 q^{-24} -3 q^{-26} -10 q^{-28} +12 q^{-30} -3 q^{-32} -14 q^{-34} +10 q^{-36} -9 q^{-40} +5 q^{-42} + q^{-44} -4 q^{-46} +2 q^{-48} + q^{-50} - q^{-52} + q^{-54} }
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+q^5-q^3+2 q- q^{-1} +2 q^{-3} -2 q^{-5} + q^{-7} + q^{-11} +2 q^{-13} + q^{-15} +3 q^{-17} - q^{-19} +2 q^{-21} -2 q^{-23} -2 q^{-27} - q^{-31} }

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^{16}-q^{14}-q^{12}+q^{10}-q^8-2 q^6+3 q^4+3 q^2-4- q^{-2} +6 q^{-4} + q^{-6} -10 q^{-8} +2 q^{-10} +10 q^{-12} -5 q^{-14} -7 q^{-16} +10 q^{-18} +5 q^{-20} -7 q^{-22} +4 q^{-24} +11 q^{-26} -2 q^{-30} +11 q^{-32} +5 q^{-34} -9 q^{-36} +2 q^{-38} +7 q^{-40} -9 q^{-42} -11 q^{-44} +3 q^{-46} -9 q^{-50} -4 q^{-52} +4 q^{-54} + q^{-56} -3 q^{-58} +2 q^{-60} +3 q^{-62} + q^{-68} }
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+q^6-q^4+q^2+1- q^{-2} +2 q^{-4} -2 q^{-6} + q^{-8} - q^{-10} + q^{-12} + q^{-14} +2 q^{-16} +2 q^{-18} +2 q^{-20} +3 q^{-22} - q^{-24} +2 q^{-26} -2 q^{-28} - q^{-30} - q^{-32} -2 q^{-34} - q^{-38} }

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^{14}+2 q^{12}-4 q^{10}+7 q^8-10 q^6+13 q^4-15 q^2+15-14 q^{-2} +12 q^{-4} -6 q^{-6} +9 q^{-10} -15 q^{-12} +23 q^{-14} -26 q^{-16} +30 q^{-18} -28 q^{-20} +26 q^{-22} -20 q^{-24} +13 q^{-26} -6 q^{-28} -2 q^{-30} +7 q^{-32} -12 q^{-34} +14 q^{-36} -14 q^{-38} +13 q^{-40} -11 q^{-42} +9 q^{-44} -6 q^{-46} +4 q^{-48} -3 q^{-50} + q^{-52} - q^{-54} }
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^{24}-2 q^{20}-2 q^{18}+2 q^{16}+5 q^{14}-q^{12}-8 q^{10}-4 q^8+9 q^6+11 q^4-5 q^2-15-3 q^{-2} +15 q^{-4} +12 q^{-6} -10 q^{-8} -15 q^{-10} +2 q^{-12} +15 q^{-14} +4 q^{-16} -10 q^{-18} -6 q^{-20} +9 q^{-22} +8 q^{-24} -5 q^{-26} -8 q^{-28} +5 q^{-30} +10 q^{-32} - q^{-34} -10 q^{-36} +12 q^{-40} +4 q^{-42} -12 q^{-44} -9 q^{-46} +10 q^{-48} +13 q^{-50} -5 q^{-52} -17 q^{-54} -5 q^{-56} +13 q^{-58} +10 q^{-60} -6 q^{-62} -12 q^{-64} -2 q^{-66} +8 q^{-68} +5 q^{-70} -3 q^{-72} -5 q^{-74} - q^{-76} +3 q^{-78} +2 q^{-80} - q^{-82} - q^{-84} + q^{-88} }

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^{18}-2 q^{16}+2 q^{14}-4 q^{12}+6 q^{10}-8 q^8+9 q^6-10 q^4+13 q^2-12+11 q^{-2} -10 q^{-4} +10 q^{-6} -7 q^{-8} +2 q^{-12} -4 q^{-14} +11 q^{-16} -15 q^{-18} +18 q^{-20} -17 q^{-22} +26 q^{-24} -20 q^{-26} +23 q^{-28} -18 q^{-30} +22 q^{-32} -12 q^{-34} +10 q^{-36} -9 q^{-38} + q^{-40} +2 q^{-42} -7 q^{-44} +4 q^{-46} -12 q^{-48} +11 q^{-50} -11 q^{-52} +9 q^{-54} -11 q^{-56} +9 q^{-58} -7 q^{-60} +5 q^{-62} -5 q^{-64} +4 q^{-66} -2 q^{-68} +2 q^{-70} - q^{-72} + q^{-74} }

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^{32}-2 q^{30}+4 q^{28}-7 q^{26}+6 q^{24}-5 q^{22}-2 q^{20}+14 q^{18}-24 q^{16}+33 q^{14}-32 q^{12}+17 q^{10}+7 q^8-37 q^6+63 q^4-72 q^2+58-22 q^{-2} -25 q^{-4} +64 q^{-6} -81 q^{-8} +74 q^{-10} -37 q^{-12} -9 q^{-14} +45 q^{-16} -59 q^{-18} +42 q^{-20} -2 q^{-22} -37 q^{-24} +60 q^{-26} -51 q^{-28} +17 q^{-30} +35 q^{-32} -80 q^{-34} +104 q^{-36} -91 q^{-38} +45 q^{-40} +17 q^{-42} -77 q^{-44} +113 q^{-46} -110 q^{-48} +76 q^{-50} -19 q^{-52} -35 q^{-54} +71 q^{-56} -75 q^{-58} +48 q^{-60} -4 q^{-62} -31 q^{-64} +48 q^{-66} -34 q^{-68} +2 q^{-70} +40 q^{-72} -62 q^{-74} +64 q^{-76} -42 q^{-78} -2 q^{-80} +40 q^{-82} -68 q^{-84} +72 q^{-86} -53 q^{-88} +24 q^{-90} +4 q^{-92} -31 q^{-94} +41 q^{-96} -42 q^{-98} +30 q^{-100} -17 q^{-102} + q^{-104} +9 q^{-106} -15 q^{-108} +16 q^{-110} -13 q^{-112} +9 q^{-114} -2 q^{-116} -2 q^{-118} +3 q^{-120} -4 q^{-122} +3 q^{-124} - q^{-126} + q^{-128} }