10 67 Quantum Invariants

Further quantum knot invariants for 10_67.

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^{19}-2 q^{17}+2 q^{15}-3 q^{13}+2 q^{11}+2 q^5-3 q^3+3 q- q^{-1} + q^{-3} }
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^{54}-2 q^{52}-2 q^{50}+7 q^{48}-2 q^{46}-10 q^{44}+12 q^{42}+5 q^{40}-18 q^{38}+8 q^{36}+12 q^{34}-18 q^{32}-q^{30}+15 q^{28}-7 q^{26}-7 q^{24}+9 q^{22}+6 q^{20}-11 q^{18}-5 q^{16}+17 q^{14}-8 q^{12}-13 q^{10}+19 q^8-q^6-12 q^4+10 q^2+1-5 q^{-2} +3 q^{-4} - q^{-8} + q^{-10} }
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^{105}-2 q^{103}-2 q^{101}+3 q^{99}+7 q^{97}-2 q^{95}-16 q^{93}-2 q^{91}+24 q^{89}+15 q^{87}-30 q^{85}-35 q^{83}+26 q^{81}+57 q^{79}-10 q^{77}-72 q^{75}-18 q^{73}+78 q^{71}+46 q^{69}-67 q^{67}-71 q^{65}+48 q^{63}+90 q^{61}-28 q^{59}-94 q^{57}+2 q^{55}+92 q^{53}+16 q^{51}-82 q^{49}-33 q^{47}+69 q^{45}+47 q^{43}-45 q^{41}-61 q^{39}+17 q^{37}+70 q^{35}+13 q^{33}-74 q^{31}-48 q^{29}+67 q^{27}+75 q^{25}-47 q^{23}-90 q^{21}+27 q^{19}+90 q^{17}-6 q^{15}-73 q^{13}-12 q^{11}+55 q^9+16 q^7-33 q^5-12 q^3+16 q+9 q^{-1} -8 q^{-3} -3 q^{-5} +4 q^{-7} + q^{-9} -2 q^{-11} + q^{-13} - q^{-19} + q^{-21} }
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^{172}-2 q^{170}-2 q^{168}+3 q^{166}+3 q^{164}+7 q^{162}-9 q^{160}-16 q^{158}-q^{156}+10 q^{154}+42 q^{152}+2 q^{150}-47 q^{148}-48 q^{146}-19 q^{144}+102 q^{142}+87 q^{140}-17 q^{138}-124 q^{136}-167 q^{134}+65 q^{132}+206 q^{130}+175 q^{128}-58 q^{126}-344 q^{124}-180 q^{122}+128 q^{120}+394 q^{118}+257 q^{116}-277 q^{114}-444 q^{112}-224 q^{110}+342 q^{108}+572 q^{106}+74 q^{104}-434 q^{102}-562 q^{100}+32 q^{98}+608 q^{96}+406 q^{94}-193 q^{92}-638 q^{90}-253 q^{88}+423 q^{86}+518 q^{84}+27 q^{82}-520 q^{80}-355 q^{78}+221 q^{76}+477 q^{74}+153 q^{72}-350 q^{70}-384 q^{68}+21 q^{66}+402 q^{64}+285 q^{62}-129 q^{60}-412 q^{58}-261 q^{56}+237 q^{54}+443 q^{52}+228 q^{50}-328 q^{48}-568 q^{46}-89 q^{44}+447 q^{42}+590 q^{40}-31 q^{38}-646 q^{36}-430 q^{34}+181 q^{32}+666 q^{30}+292 q^{28}-389 q^{26}-488 q^{24}-132 q^{22}+407 q^{20}+357 q^{18}-73 q^{16}-272 q^{14}-211 q^{12}+117 q^{10}+193 q^8+44 q^6-59 q^4-114 q^2+4+52 q^{-2} +23 q^{-4} +6 q^{-6} -34 q^{-8} - q^{-10} +8 q^{-12} +8 q^{-16} -8 q^{-18} + q^{-20} + q^{-22} -2 q^{-24} +4 q^{-26} -2 q^{-28} - q^{-34} + q^{-36} }
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^{255}-2 q^{253}-2 q^{251}+3 q^{249}+3 q^{247}+3 q^{245}-9 q^{241}-16 q^{239}-q^{237}+20 q^{235}+28 q^{233}+20 q^{231}-16 q^{229}-61 q^{227}-68 q^{225}+q^{223}+92 q^{221}+133 q^{219}+78 q^{217}-81 q^{215}-235 q^{213}-226 q^{211}-2 q^{209}+288 q^{207}+424 q^{205}+242 q^{203}-218 q^{201}-625 q^{199}-605 q^{197}-61 q^{195}+661 q^{193}+1013 q^{191}+603 q^{189}-404 q^{187}-1291 q^{185}-1297 q^{183}-232 q^{181}+1217 q^{179}+1929 q^{177}+1190 q^{175}-641 q^{173}-2252 q^{171}-2248 q^{169}-388 q^{167}+2023 q^{165}+3083 q^{163}+1729 q^{161}-1218 q^{159}-3460 q^{157}-3022 q^{155}-16 q^{153}+3215 q^{151}+3976 q^{149}+1433 q^{147}-2453 q^{145}-4423 q^{143}-2674 q^{141}+1383 q^{139}+4290 q^{137}+3552 q^{135}-249 q^{133}-3777 q^{131}-3940 q^{129}-670 q^{127}+3027 q^{125}+3893 q^{123}+1304 q^{121}-2285 q^{119}-3584 q^{117}-1591 q^{115}+1651 q^{113}+3157 q^{111}+1679 q^{109}-1195 q^{107}-2755 q^{105}-1692 q^{103}+841 q^{101}+2466 q^{99}+1776 q^{97}-490 q^{95}-2248 q^{93}-2015 q^{91}-24 q^{89}+2028 q^{87}+2419 q^{85}+764 q^{83}-1652 q^{81}-2864 q^{79}-1751 q^{77}+974 q^{75}+3181 q^{73}+2890 q^{71}+33 q^{69}-3165 q^{67}-3921 q^{65}-1324 q^{63}+2651 q^{61}+4629 q^{59}+2678 q^{57}-1701 q^{55}-4748 q^{53}-3787 q^{51}+415 q^{49}+4236 q^{47}+4407 q^{45}+873 q^{43}-3228 q^{41}-4365 q^{39}-1845 q^{37}+1936 q^{35}+3761 q^{33}+2345 q^{31}-761 q^{29}-2797 q^{27}-2290 q^{25}-107 q^{23}+1750 q^{21}+1888 q^{19}+557 q^{17}-894 q^{15}-1320 q^{13}-638 q^{11}+322 q^9+777 q^7+535 q^5-33 q^3-396 q-349 q^{-1} -60 q^{-3} +164 q^{-5} +191 q^{-7} +66 q^{-9} -57 q^{-11} -86 q^{-13} -45 q^{-15} +17 q^{-17} +38 q^{-19} +16 q^{-21} -4 q^{-23} -8 q^{-25} -10 q^{-27} -2 q^{-29} +10 q^{-31} + q^{-33} -4 q^{-35} +2 q^{-37} -2 q^{-39} -2 q^{-41} +4 q^{-43} + q^{-45} -2 q^{-47} - q^{-53} + q^{-55} }

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

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^{60}-2 q^{58}+q^{56}+2 q^{54}-7 q^{52}+5 q^{50}+3 q^{48}-10 q^{46}+10 q^{44}+4 q^{42}-13 q^{40}+10 q^{38}+5 q^{36}-13 q^{34}+3 q^{32}+4 q^{30}-5 q^{28}-4 q^{26}+2 q^{24}+7 q^{22}-7 q^{20}-2 q^{18}+15 q^{16}-9 q^{14}-6 q^{12}+15 q^{10}-7 q^8-7 q^6+10 q^4-q^2-3+4 q^{-2} + q^{-4} - q^{-6} + q^{-8} }
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^{37}-q^{35}-q^{31}+2 q^{29}-2 q^{27}+q^{25}-q^{23}+q^{21}-q^{19}+q^{17}+q^{15}-q^{13}+q^{11}-q^9+q^7-2 q^5+3 q^3+ q^{-1} + q^{-5} }

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^{60}-2 q^{58}+5 q^{56}-8 q^{54}+11 q^{52}-15 q^{50}+17 q^{48}-18 q^{46}+16 q^{44}-14 q^{42}+7 q^{40}-9 q^{36}+19 q^{34}-25 q^{32}+32 q^{30}-33 q^{28}+34 q^{26}-30 q^{24}+23 q^{22}-15 q^{20}+6 q^{18}+q^{16}-9 q^{14}+14 q^{12}-17 q^{10}+17 q^8-15 q^6+14 q^4-9 q^2+7-4 q^{-2} +3 q^{-4} - q^{-6} + q^{-8} }
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^{98}-2 q^{94}-2 q^{92}+3 q^{90}+5 q^{88}-3 q^{86}-9 q^{84}-2 q^{82}+12 q^{80}+9 q^{78}-10 q^{76}-15 q^{74}+4 q^{72}+19 q^{70}+7 q^{68}-17 q^{66}-14 q^{64}+9 q^{62}+17 q^{60}-q^{58}-16 q^{56}-4 q^{54}+11 q^{52}+6 q^{50}-10 q^{48}-7 q^{46}+8 q^{44}+9 q^{42}-7 q^{40}-12 q^{38}+4 q^{36}+14 q^{34}-15 q^{30}-5 q^{28}+15 q^{26}+12 q^{24}-10 q^{22}-16 q^{20}+3 q^{18}+18 q^{16}+6 q^{14}-12 q^{12}-12 q^{10}+3 q^8+12 q^6+3 q^4-5 q^2-5+ q^{-2} +4 q^{-4} +2 q^{-6} - q^{-8} - q^{-10} + q^{-14} }

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^{142}-2 q^{140}+5 q^{138}-9 q^{136}+9 q^{134}-8 q^{132}-2 q^{130}+19 q^{128}-34 q^{126}+47 q^{124}-44 q^{122}+19 q^{120}+18 q^{118}-60 q^{116}+90 q^{114}-93 q^{112}+61 q^{110}-2 q^{108}-57 q^{106}+98 q^{104}-99 q^{102}+65 q^{100}-6 q^{98}-47 q^{96}+72 q^{94}-67 q^{92}+23 q^{90}+37 q^{88}-76 q^{86}+85 q^{84}-53 q^{82}-10 q^{80}+71 q^{78}-119 q^{76}+124 q^{74}-94 q^{72}+23 q^{70}+56 q^{68}-116 q^{66}+141 q^{64}-111 q^{62}+48 q^{60}+23 q^{58}-76 q^{56}+93 q^{54}-70 q^{52}+20 q^{50}+37 q^{48}-62 q^{46}+60 q^{44}-20 q^{42}-35 q^{40}+73 q^{38}-83 q^{36}+60 q^{34}-20 q^{32}-30 q^{30}+65 q^{28}-78 q^{26}+72 q^{24}-41 q^{22}+6 q^{20}+20 q^{18}-39 q^{16}+42 q^{14}-37 q^{12}+27 q^{10}-9 q^8-2 q^6+12 q^4-15 q^2+14-10 q^{-2} +7 q^{-4} -2 q^{-6} - q^{-8} +3 q^{-10} -3 q^{-12} +3 q^{-14} - q^{-16} + q^{-18} }