All knots K here have MLq(K) = 4.
Column 1 is the description of knot K.
Column 2 gives the smallest quandle X that has Lq_X(K) = 4.
rig(i),i=1..431, is the i-th rig quandle
Q[i],i=13..20, is the i-th large quandle at
http://tyeatma2.myweb.usf.edu/quandles/quandles.html
The orders of the quandles Q[i] are also given.



Knot[292] = 11a_43, rig(  6) = C[ 6, 1]
Knot[293] = 11a_44, rig(  6) = C[ 6, 1]
Knot[296] = 11a_47, rig(  6) = C[ 6, 1]
Knot[306] = 11a_57, rig(  6) = C[ 6, 1]
Knot[480] = 11a_231, rig(  6) = C[ 6, 1]
Knot[512] = 11a_263, rig(  6) = C[ 6, 1]
Knot[687] = 11n_71, rig(  6) = C[ 6, 1]
Knot[688] = 11n_72, rig(  6) = C[ 6, 1]
Knot[689] = 11n_73, rig(  6) = C[ 6, 1]
Knot[690] = 11n_74, rig(  6) = C[ 6, 1]
Knot[691] = 11n_75, rig(  6) = C[ 6, 1]
Knot[692] = 11n_76, rig(  6) = C[ 6, 1]
Knot[693] = 11n_77, rig(  6) = C[ 6, 1]
Knot[694] = 11n_78, rig(  6) = C[ 6, 1]
Knot[697] = 11n_81, rig(  6) = C[ 6, 1]
Knot[830] = 12a_0029, rig( 43) = C[12,10]
Knot[831] = 12a_0030, rig( 43) = C[12,10]
Knot[834] = 12a_0033, rig( 43) = C[12,10]
Knot[837] = 12a_0036, rig( 43) = C[12,10]
Knot[914] = 12a_0113, rig( 43) = C[12,10]
Knot[915] = 12a_0114, rig( 43) = C[12,10]
Knot[917] = 12a_0116, rig( 43) = C[12,10]
Knot[918] = 12a_0117, rig( 43) = C[12,10]
Knot[920] = 12a_0119, rig(  6) = C[ 6, 1]
Knot[923] = 12a_0122, rig( 43) = C[12,10]
Knot[958] = 12a_0157, rig( 43) = C[12,10]
Knot[965] = 12a_0164, rig(  6) = C[ 6, 1]
Knot[967] = 12a_0166, rig(  6) = C[ 6, 1]
Knot[968] = 12a_0167, rig(  6) = C[ 6, 1]
Knot[983] = 12a_0182, rig( 43) = C[12,10]
Knot[996] = 12a_0195, rig( 43) = C[12,10]
Knot[1355] = 12a_0554, rig(  1) = C[ 3, 1]
Knot[1493] = 12a_0692, rig(  6) = C[ 6, 1]
Knot[1494] = 12a_0693, rig( 43) = C[12,10]
Knot[1495] = 12a_0694, rig( 43) = C[12,10]
Knot[1551] = 12a_0750, rig(  1) = C[ 3, 1]
Knot[1602] = 12a_0801, rig(  6) = C[ 6, 1]
Knot[2144] = 12n_0055, rig( 43) = C[12,10]
Knot[2145] = 12n_0056, rig( 43) = C[12,10]
Knot[2146] = 12n_0057, rig( 43) = C[12,10]
Knot[2147] = 12n_0058, rig( 43) = C[12,10]
Knot[2148] = 12n_0059, rig( 43) = C[12,10]
Knot[2149] = 12n_0060, rig( 43) = C[12,10]
Knot[2150] = 12n_0061, rig( 43) = C[12,10]
Knot[2151] = 12n_0062, rig( 43) = C[12,10]
Knot[2152] = 12n_0063, rig( 43) = C[12,10]
Knot[2153] = 12n_0064, rig( 43) = C[12,10]
Knot[2155] = 12n_0066, rig( 43) = C[12,10]
Knot[2156] = 12n_0067, rig( 43) = C[12,10]
Knot[2308] = 12n_0219, rig( 43) = C[12,10]
Knot[2309] = 12n_0220, rig( 43) = C[12,10]
Knot[2310] = 12n_0221, rig( 43) = C[12,10]
Knot[2311] = 12n_0222, rig( 43) = C[12,10]
Knot[2312] = 12n_0223, rig( 43) = C[12,10]
Knot[2313] = 12n_0224, rig( 43) = C[12,10]
Knot[2314] = 12n_0225, rig( 43) = C[12,10]
Knot[2318] = 12n_0229, rig( 43) = C[12,10]
Knot[2350] = 12n_0261, rig( 43) = C[12,10]
Knot[2642] = 12n_0553, rig(  1) = C[ 3, 1]
Knot[2643] = 12n_0554, rig(  1) = C[ 3, 1]
Knot[2644] = 12n_0555, rig(  1) = C[ 3, 1]
Knot[2645] = 12n_0556, rig(  1) = C[ 3, 1]
Knot[2731] = 12n_0642, rig(  1) = C[ 3, 1]