10 116 Quantum Invariants

Further quantum knot invariants for 10_116.

A1 Invariants.

Weight	Invariant
1	$q^{15}-3q^{13}+4q^{11}-4q^{9}+3q^{7}-q^{5}-q^{3}+4q-3q^{-1}+4q^{-3}-3q^{-5}+q^{-7}$
2	$q^{42}-3q^{40}+q^{38}+8q^{36}-14q^{34}+2q^{32}+24q^{30}-31q^{28}-5q^{26}+45q^{24}-29q^{22}-23q^{20}+40q^{18}-4q^{16}-29q^{14}+10q^{12}+23q^{10}-16q^{8}-22q^{6}+35q^{4}+5q^{2}-42+29q^{-2}+24q^{-4}-42q^{-6}+6q^{-8}+28q^{-10}-20q^{-12}-8q^{-14}+13q^{-16}-q^{-18}-3q^{-20}+q^{-22}$
3	$q^{81}-3q^{79}+q^{77}+5q^{75}-2q^{73}-9q^{71}+2q^{69}+22q^{67}-15q^{65}-38q^{63}+33q^{61}+77q^{59}-48q^{57}-149q^{55}+45q^{53}+235q^{51}-311q^{47}-87q^{45}+342q^{43}+192q^{41}-307q^{39}-279q^{37}+212q^{35}+326q^{33}-89q^{31}-316q^{29}-37q^{27}+268q^{25}+143q^{23}-203q^{21}-224q^{19}+133q^{17}+277q^{15}-58q^{13}-322q^{11}-13q^{9}+344q^{7}+100q^{5}-340q^{3}-191q+301q^{-1}+274q^{-3}-210q^{-5}-329q^{-7}+100q^{-9}+326q^{-11}+19q^{-13}-269q^{-15}-106q^{-17}+172q^{-19}+139q^{-21}-80q^{-23}-117q^{-25}+10q^{-27}+74q^{-29}+20q^{-31}-34q^{-33}-16q^{-35}+8q^{-37}+8q^{-39}-q^{-41}-3q^{-43}+q^{-45}$
5	$q^{195}-3q^{193}+q^{191}+5q^{189}-5q^{187}+3q^{183}-5q^{181}-3q^{179}+5q^{177}+q^{175}+9q^{173}+29q^{171}-q^{169}-70q^{167}-106q^{165}-17q^{163}+167q^{161}+318q^{159}+211q^{157}-325q^{155}-871q^{153}-707q^{151}+400q^{149}+1775q^{147}+2007q^{145}+67q^{143}-3101q^{141}-4520q^{139}-1749q^{137}+4176q^{135}+8385q^{133}+5742q^{131}-3795q^{129}-13084q^{127}-12572q^{125}+397q^{123}+16782q^{121}+21665q^{119}+7375q^{117}-17126q^{115}-30983q^{113}-19109q^{111}+12071q^{109}+37149q^{107}+32580q^{105}-1178q^{103}-37270q^{101}-44070q^{99}-13451q^{97}+30141q^{95}+49799q^{93}+28104q^{91}-17067q^{89}-47874q^{87}-38851q^{85}+1546q^{83}+38936q^{81}+43051q^{79}+12555q^{77}-25685q^{75}-40669q^{73}-22395q^{71}+11842q^{69}+33586q^{67}+26963q^{65}-228q^{63}-24705q^{61}-27356q^{59}-7719q^{57}+16750q^{55}+25582q^{53}+12202q^{51}-11167q^{49}-23796q^{47}-14599q^{45}+8113q^{43}+23487q^{41}+16673q^{39}-6753q^{37}-24957q^{35}-19826q^{33}+5346q^{31}+27597q^{29}+24904q^{27}-2384q^{25}-29959q^{23}-31463q^{21}-3438q^{19}+30076q^{17}+38397q^{15}+12300q^{13}-26372q^{11}-43500q^{9}-23145q^{7}+17861q^{5}+44481q^{3}+33843q-5191q^{-1}-39743q^{-3}-41284q^{-5}-9416q^{-7}+28949q^{-9}+42951q^{-11}+22656q^{-13}-14084q^{-15}-37624q^{-17}-30923q^{-19}-1528q^{-21}+26398q^{-23}+32173q^{-25}+13885q^{-27}-12408q^{-29}-26637q^{-31}-20133q^{-33}-305q^{-35}+16821q^{-37}+19690q^{-39}+8625q^{-41}-6486q^{-43}-14513q^{-45}-11289q^{-47}-1173q^{-49}+7594q^{-51}+9530q^{-53}+4849q^{-55}-1924q^{-57}-5782q^{-59}-4950q^{-61}-1205q^{-63}+2236q^{-65}+3313q^{-67}+2010q^{-69}-172q^{-71}-1516q^{-73}-1467q^{-75}-544q^{-77}+359q^{-79}+726q^{-81}+498q^{-83}+40q^{-85}-227q^{-87}-238q^{-89}-101q^{-91}+29q^{-93}+89q^{-95}+55q^{-97}-3q^{-99}-20q^{-101}-14q^{-103}-5q^{-105}+3q^{-107}+8q^{-109}-q^{-111}-3q^{-113}+q^{-115}$
6	$q^{270}-3q^{268}+q^{266}+5q^{264}-5q^{262}+7q^{256}-14q^{254}-11q^{252}+35q^{250}-q^{248}+7q^{246}+5q^{244}-16q^{242}-102q^{240}-95q^{238}+126q^{236}+173q^{234}+233q^{232}+133q^{230}-214q^{228}-787q^{226}-863q^{224}+89q^{222}+1110q^{220}+2071q^{218}+1821q^{216}-293q^{214}-3794q^{212}-5782q^{210}-3268q^{208}+2530q^{206}+9759q^{204}+12704q^{202}+6431q^{200}-8746q^{198}-23691q^{196}-25304q^{194}-8926q^{192}+22026q^{190}+48619q^{188}+47918q^{186}+9554q^{184}-49536q^{182}-90164q^{180}-79255q^{178}-5653q^{176}+94305q^{174}+154491q^{172}+119077q^{170}-10139q^{168}-161421q^{166}-237093q^{164}-162820q^{162}+39294q^{160}+253465q^{158}+331973q^{156}+198607q^{154}-86609q^{152}-358165q^{150}-425759q^{148}-220151q^{146}+153632q^{144}+462497q^{142}+497943q^{140}+216834q^{138}-226470q^{136}-548596q^{134}-537459q^{132}-184007q^{130}+293918q^{128}+597089q^{126}+533241q^{124}+134376q^{122}-343209q^{120}-603314q^{118}-485828q^{116}-77432q^{114}+363100q^{112}+565830q^{110}+413877q^{108}+23694q^{106}-356565q^{104}-495097q^{102}-330502q^{100}+18280q^{98}+327737q^{96}+413365q^{94}+246944q^{92}-51593q^{90}-288528q^{88}-331696q^{86}-169592q^{84}+79471q^{82}+254423q^{80}+255081q^{78}+94302q^{76}-110276q^{74}-226943q^{72}-181511q^{70}-16436q^{68}+150236q^{66}+201155q^{64}+102110q^{62}-71168q^{60}-192883q^{58}-166725q^{56}-9565q^{54}+168047q^{52}+227640q^{50}+113475q^{48}-101456q^{46}-263594q^{44}-241514q^{42}-35861q^{40}+223375q^{38}+345426q^{36}+228197q^{34}-66101q^{32}-342119q^{30}-400744q^{28}-186493q^{26}+177177q^{24}+443917q^{22}+426985q^{20}+121024q^{18}-281071q^{16}-515530q^{14}-424093q^{12}-50416q^{10}+364013q^{8}+555283q^{6}+396290q^{4}-11757q^{2}-413870-561277q^{-2}-359454q^{-4}+56402q^{-6}+430841q^{-8}+535645q^{-10}+320664q^{-12}-76469q^{-14}-414114q^{-16}-491758q^{-18}-283193q^{-20}+76626q^{-22}+368060q^{-24}+434189q^{-26}+250787q^{-28}-59231q^{-30}-308042q^{-32}-366896q^{-34}-219154q^{-36}+30632q^{-38}+240637q^{-40}+297555q^{-42}+189115q^{-44}-4583q^{-46}-172632q^{-48}-228234q^{-50}-159928q^{-52}-16237q^{-54}+113485q^{-56}+165638q^{-58}+126700q^{-60}+29925q^{-62}-65450q^{-64}-113292q^{-66}-94457q^{-68}-33711q^{-70}+32149q^{-72}+69798q^{-74}+66122q^{-76}+31266q^{-78}-12271q^{-80}-38961q^{-82}-41889q^{-84}-24097q^{-86}+858q^{-88}+19593q^{-90}+24318q^{-92}+15819q^{-94}+3007q^{-96}-8161q^{-98}-12290q^{-100}-9660q^{-102}-3024q^{-104}+2875q^{-106}+5293q^{-108}+4888q^{-110}+2148q^{-112}-588q^{-114}-2218q^{-116}-2039q^{-118}-1024q^{-120}-52q^{-122}+713q^{-124}+776q^{-126}+460q^{-128}-8q^{-130}-184q^{-132}-211q^{-134}-161q^{-136}-13q^{-138}+60q^{-140}+74q^{-142}+11q^{-144}+q^{-146}-4q^{-148}-19q^{-150}-5q^{-152}+3q^{-154}+8q^{-156}-q^{-158}-3q^{-160}+q^{-162}$

A2 Invariants.

Weight	Invariant
1,0	$q^{20}-2q^{18}+2q^{16}-2q^{14}+2q^{10}-3q^{8}+4q^{6}-3q^{4}+3q^{2}+1-q^{-2}+2q^{-4}-2q^{-6}+q^{-8}$
1,1	$q^{60}-6q^{58}+18q^{56}-38q^{54}+73q^{52}-136q^{50}+226q^{48}-336q^{46}+480q^{44}-664q^{42}+864q^{40}-1066q^{38}+1260q^{36}-1404q^{34}+1438q^{32}-1312q^{30}+1001q^{28}-498q^{26}-180q^{24}+966q^{22}-1751q^{20}+2442q^{18}-2948q^{16}+3196q^{14}-3175q^{12}+2872q^{10}-2332q^{8}+1610q^{6}-788q^{4}-10q^{2}+746-1310q^{-2}+1655q^{-4}-1758q^{-6}+1656q^{-8}-1422q^{-10}+1102q^{-12}-774q^{-14}+492q^{-16}-280q^{-18}+143q^{-20}-62q^{-22}+22q^{-24}-6q^{-26}+q^{-28}$
2,0	$q^{52}-2q^{50}+4q^{46}-5q^{44}+6q^{40}-4q^{38}-6q^{36}+2q^{34}+14q^{32}-7q^{30}-12q^{28}+16q^{26}+6q^{24}-18q^{22}-3q^{20}+13q^{18}-9q^{16}-8q^{14}+8q^{12}+7q^{10}-9q^{8}+2q^{6}+19q^{4}-9q^{2}-7+15q^{-2}+2q^{-4}-15q^{-6}-2q^{-8}+10q^{-10}-9q^{-14}+2q^{-16}+7q^{-18}-2q^{-20}-2q^{-22}+q^{-24}$

A3 Invariants.

Weight	Invariant
0,1,0	$q^{48}-3q^{46}+9q^{42}-10q^{40}-5q^{38}+22q^{36}-16q^{34}-15q^{32}+34q^{30}-15q^{28}-21q^{26}+33q^{24}-9q^{22}-17q^{20}+14q^{18}+4q^{16}-5q^{14}-11q^{12}+14q^{10}+9q^{8}-28q^{6}+13q^{4}+22q^{2}-30+10q^{-2}+22q^{-4}-26q^{-6}+8q^{-8}+10q^{-10}-13q^{-12}+5q^{-14}+2q^{-16}-3q^{-18}+q^{-20}$
1,0,0	$q^{25}-2q^{23}+3q^{21}-4q^{19}+3q^{17}-3q^{15}+2q^{13}-q^{11}+q^{9}+q^{7}-q^{5}+3q^{3}-2q+4q^{-1}-3q^{-3}+3q^{-5}-2q^{-7}+q^{-9}$
1,0,1	$q^{78}-6q^{76}+15q^{74}-17q^{72}-3q^{70}+48q^{68}-97q^{66}+98q^{64}-5q^{62}-156q^{60}+291q^{58}-284q^{56}+65q^{54}+294q^{52}-596q^{50}+624q^{48}-260q^{46}-385q^{44}+998q^{42}-1218q^{40}+835q^{38}+25q^{36}-970q^{34}+1530q^{32}-1430q^{30}+773q^{28}+88q^{26}-691q^{24}+807q^{22}-522q^{20}+141q^{18}-44q^{16}+305q^{14}-777q^{12}+1059q^{10}-833q^{8}+121q^{6}+822q^{4}-1490q^{2}+1613-1120q^{-2}+289q^{-4}+509q^{-6}-975q^{-8}+973q^{-10}-628q^{-12}+160q^{-14}+196q^{-16}-325q^{-18}+264q^{-20}-123q^{-22}+10q^{-24}+39q^{-26}-37q^{-28}+19q^{-30}-6q^{-32}+q^{-34}$

A4 Invariants.

Weight	Invariant
0,1,0,0	$q^{58}-2q^{56}-2q^{54}+7q^{52}-2q^{50}-11q^{48}+13q^{46}+10q^{44}-23q^{42}-q^{40}+22q^{38}-9q^{36}-22q^{34}+17q^{32}+17q^{30}-23q^{28}-5q^{26}+33q^{24}-10q^{22}-28q^{20}+31q^{18}+6q^{16}-36q^{14}+7q^{12}+25q^{10}-20q^{8}-13q^{6}+22q^{4}+12q^{2}-17+2q^{-2}+19q^{-4}-8q^{-6}-8q^{-8}+10q^{-10}-q^{-12}-7q^{-14}+5q^{-16}-2q^{-20}+q^{-22}$
1,0,0,0	$q^{30}-2q^{28}+3q^{26}-3q^{24}+q^{22}-2q^{18}+2q^{16}-2q^{14}+3q^{12}-2q^{10}+3q^{8}-2q^{6}+3q^{4}-q^{2}+1+2q^{-2}-2q^{-4}+3q^{-6}-2q^{-8}+q^{-10}$

B2 Invariants.

Weight	Invariant
0,1	$q^{48}-3q^{46}+6q^{44}-11q^{42}+18q^{40}-25q^{38}+32q^{36}-38q^{34}+41q^{32}-40q^{30}+31q^{28}-17q^{26}-q^{24}+21q^{22}-41q^{20}+60q^{18}-74q^{16}+81q^{14}-79q^{12}+70q^{10}-55q^{8}+36q^{6}-13q^{4}-6q^{2}+24-34q^{-2}+42q^{-4}-42q^{-6}+38q^{-8}-32q^{-10}+23q^{-12}-15q^{-14}+8q^{-16}-3q^{-18}+q^{-20}$
1,0	$q^{78}-3q^{74}-3q^{72}+3q^{70}+10q^{68}+3q^{66}-14q^{64}-15q^{62}+8q^{60}+27q^{58}+8q^{56}-29q^{54}-28q^{52}+16q^{50}+42q^{48}+4q^{46}-41q^{44}-22q^{42}+30q^{40}+33q^{38}-17q^{36}-36q^{34}+4q^{32}+34q^{30}+5q^{28}-30q^{26}-11q^{24}+25q^{22}+16q^{20}-21q^{18}-20q^{16}+19q^{14}+27q^{12}-13q^{10}-37q^{8}+q^{6}+42q^{4}+20q^{2}-35-36q^{-2}+19q^{-4}+45q^{-6}+3q^{-8}-37q^{-10}-20q^{-12}+22q^{-14}+24q^{-16}-7q^{-18}-18q^{-20}-3q^{-22}+10q^{-24}+5q^{-26}-3q^{-28}-3q^{-30}+q^{-34}$

D4 Invariants.

Weight

Invariant

1,0,0,0

$q^{66}-3q^{64}+3q^{62}-4q^{60}+10q^{58}-14q^{56}+14q^{54}-18q^{52}+27q^{50}-29q^{48}+26q^{46}-32q^{44}+35q^{42}-27q^{40}+19q^{38}-16q^{36}+6q^{34}+11q^{32}-19q^{30}+28q^{28}-43q^{26}+54q^{24}-56q^{22}+60q^{20}-65q^{18}+60q^{16}-52q^{14}+46q^{12}-39q^{10}+24q^{8}-10q^{6}+3q^{4}+9q^{2}-18+30q^{-2}-29q^{-4}+33q^{-6}-34q^{-8}+33q^{-10}-28q^{-12}+23q^{-14}-19q^{-16}+13q^{-18}-8q^{-20}+5q^{-22}-3q^{-24}+q^{-26}$

G2 Invariants.

Weight

Invariant

1,0

$q^{114}-3q^{112}+6q^{110}-10q^{108}+10q^{106}-8q^{104}+q^{102}+16q^{100}-34q^{98}+54q^{96}-64q^{94}+51q^{92}-23q^{90}-27q^{88}+89q^{86}-140q^{84}+173q^{82}-158q^{80}+88q^{78}+24q^{76}-156q^{74}+263q^{72}-304q^{70}+240q^{68}-89q^{66}-104q^{64}+263q^{62}-309q^{60}+233q^{58}-52q^{56}-150q^{54}+265q^{52}-247q^{50}+82q^{48}+155q^{46}-343q^{44}+398q^{42}-275q^{40}+28q^{38}+249q^{36}-454q^{34}+500q^{32}-388q^{30}+147q^{28}+134q^{26}-350q^{24}+441q^{22}-368q^{20}+181q^{18}+51q^{16}-241q^{14}+301q^{12}-226q^{10}+47q^{8}+170q^{6}-305q^{4}+297q^{2}-138-95q^{-2}+304q^{-4}-396q^{-6}+330q^{-8}-150q^{-10}-70q^{-12}+244q^{-14}-312q^{-16}+271q^{-18}-144q^{-20}+6q^{-22}+90q^{-24}-132q^{-26}+116q^{-28}-72q^{-30}+29q^{-32}+6q^{-34}-21q^{-36}+21q^{-38}-16q^{-40}+8q^{-42}-3q^{-44}+q^{-46}$