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Gukov-Manolescu series (F_K)

This table contains the the first few terms of the Gukov-Manolescu series under the column fk_polynomial. The braid and inversion datum used to compute the inverted state sum are listed under braid and inversion_data.

1,246 records
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knotinfo_id ?
string
KnotInfo identifier 		braid ?
int_list
Braid word used for the computation 		inversion_data ?
int_list
Inversion datum used for the computation 		fk_polynomial ?
short_code · Mathematica
First terms of the F_K series in q and x (Mathematica format) 		fk_degree ?
int
Max. x-degree for which the F_K invariant has been computed 		minimal_braid_length_knotinfo ?
int
Minimal braid length of the knot (source: KnotInfo) 		minimal_sign_diagram_braid_length ?
int
Length of the braid used for the computation 		Fibered ?
bool
Is the knot fibered?

From: KnotInfo: Knots 		Crossing Number ?
int
Number of crossings in the knot

From: KnotInfo: Knots
12a_1152 [-1, -3, 4, 2, -3, 2, -1, -3, 2, 4, -3, 2] [-1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1] -x^3-8*x^4-q^-1*x^5-36*x^5-q*x^5-8*q^-1*x^6-126*x^6-8*q*x^6-q^-4*x^7+2*q^-3*x^7-46*q^-1*x^7-379*x^7-46*q*x^7+2*q^3*x^7-q^4*x^7-2*q^-6*x^8-2*q^-5*x^8-6*q^-4*x^8+18*q^-3*x^8-8*q^-2*x^8-206*q^-1*x^8-1045*x^8-206*q*x^8-8*q^2*x^8+18*q^3*x^8-6*q^4*x^8-2*q^5*x^8-2*q^6*x^8-q^-9*x^9-3*q^-8*x^9-6*q^-7*x^9-19*q^-6*x^9-22*q^-5*x^9-8*q^-4*x^9+99*q^-3*x^9-74*q^-2*x^9-791*q^-1*x^9-2749*x^9-791*q*x^9-74*q^2*x^9+99*q^3*x^9-8*q^4*x^9-22*q^5*x^9-19*q^6*x^9-6*q^7*x^9-3*q^8*x^9-q^9*x^9-2*q^-12*x^10-2*q^-11*x^10-6*q^-10*x^10-20*q^-9*x^10-34*q^-8*x^10-50*q^-7*x^10-124*q^-6*x^10-92*q^-5*x^10+102*q^-4*x^10+407*q^-3*x^10-432*q^-2*x^10-2744*q^-1*x^10-7094*x^10-2744*q*x^10-432*q^2*x^10+407*q^3*x^10+102*q^4*x^10-92*q^5*x^10-124*q^6*x^10-50*q^7*x^10-34*q^8*x^10-20*q^9*x^10-6*q^10*x^10-2*q^11*x^10-2*q^12*x^10 10 12 12 Yes 12
12a_1153 [-1, -4, 3, 2, 2, 2, 2, -4, 2, 3, -2, -1, 3, 2] [-1, -1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1] -q^2*x^3-7*q^2*x^4-7*q*x^5-28*q^2*x^5-q^3*x^5-q^-1*x^6-22*x^6-48*q*x^6-91*q^2*x^6-7*q^3*x^6-5*q^4*x^6-3*q^-3*x^7-21*q^-2*x^7-67*q^-1*x^7-163*x^7-218*q*x^7-264*q^2*x^7-44*q^3*x^7-32*q^4*x^7-11*q^5*x^7-4*q^6*x^7-3*q^-6*x^8-11*q^-5*x^8-60*q^-4*x^8-119*q^-3*x^8-302*q^-2*x^8-528*q^-1*x^8-790*x^8-804*q*x^8-759*q^2*x^8-220*q^3*x^8-162*q^4*x^8-79*q^5*x^8-46*q^6*x^8-16*q^7*x^8-10*q^8*x^8-q^-10*x^9-8*q^-9*x^9-23*q^-8*x^9-75*q^-7*x^9-193*q^-6*x^9-383*q^-5*x^9-780*q^-4*x^9-1270*q^-3*x^9-2077*q^-2*x^9-2717*q^-1*x^9-3117*x^9-2758*q*x^9-2267*q^2*x^9-990*q^3*x^9-724*q^4*x^9-433*q^5*x^9-288*q^6*x^9-167*q^7*x^9-105*q^8*x^9-42*q^9*x^9-22*q^10*x^9-6*q^11*x^9-3*q^-14*x^10-9*q^-13*x^10-33*q^-12*x^10-74*q^-11*x^10-207*q^-10*x^10-398*q^-9*x^10-822*q^-8*x^10-1475*q^-7*x^10-2568*q^-6*x^10-3947*q^-5*x^10-6039*q^-4*x^10-8123*q^-3*x^10-10436*q^-2*x^10-11408*q^-1*x^10-11274*x^10-9302*q*x^10-7269*q^2*x^10-4141*q^3*x^10-3097*q^4*x^10-2094*q^5*x^10-1532*q^6*x^10-1055*q^7*x^10-752*q^8*x^10-429*q^9*x^10-271*q^10*x^10-134*q^11*x^10-66*q^12*x^10-24*q^13*x^10-14*q^14*x^10 10 14 14 Yes 12
12a_1156 [-1, 2, 3, -1, 2, 2, 2, 3, -4, 3, -2, 3, 3, -4] [1, -1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 1, -1, 1, -1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1] -q^2*x^3-7*q^2*x^4-7*q*x^5-28*q^2*x^5+4*q^3*x^5-q^-1*x^6-22*x^6-48*q*x^6-80*q^2*x^6+28*q^3*x^6+7*q^4*x^6-3*q^-3*x^7-21*q^-2*x^7-67*q^-1*x^7-161*x^7-175*q*x^7-154*q^2*x^7+130*q^3*x^7+43*q^4*x^7+5*q^5*x^7-3*q^-6*x^8-11*q^-5*x^8-60*q^-4*x^8-119*q^-3*x^8-296*q^-2*x^8-481*q^-1*x^8-607*x^8-354*q*x^8-86*q^2*x^8+491*q^3*x^8+171*q^4*x^8+15*q^5*x^8+5*q^6*x^8-8*q^7*x^8-q^-10*x^9-8*q^-9*x^9-23*q^-8*x^9-75*q^-7*x^9-193*q^-6*x^9-377*q^-5*x^9-752*q^-4*x^9-1121*q^-3*x^9-1685*q^-2*x^9-1726*q^-1*x^9-1230*x^9+64*q*x^9+815*q^2*x^9+1566*q^3*x^9+488*q^4*x^9-10*q^5*x^9-15*q^6*x^9-44*q^7*x^9-12*q^8*x^9-13*q^9*x^9-3*q^-14*x^10-9*q^-13*x^10-33*q^-12*x^10-74*q^-11*x^10-207*q^-10*x^10-396*q^-9*x^10-804*q^-8*x^10-1411*q^-7*x^10-2351*q^-6*x^10-3337*q^-5*x^10-4634*q^-4*x^10-5176*q^-3*x^10-5110*q^-2*x^10-2788*q^-1*x^10+428*x^10+3819*q*x^10+4428*q^2*x^10+4073*q^3*x^10+872*q^4*x^10-408*q^5*x^10-252*q^6*x^10-231*q^7*x^10-75*q^8*x^10-108*q^9*x^10-22*q^10*x^10-11*q^11*x^10 10 14 14 Yes 12
12a_1167 [-1, 4, 3, 3, -2, 3, -2, 3, -2, -2, -1, 4, -3, 2] [-1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1] -x^3-9*x^4-5*q^-1*x^5-45*x^5-5*q*x^5-q^-3*x^6-15*q^-2*x^6-44*q^-1*x^6-183*x^6-44*q*x^6-15*q^2*x^6-q^3*x^6-3*q^-5*x^7-15*q^-4*x^7-48*q^-3*x^7-139*q^-2*x^7-274*q^-1*x^7-674*x^7-274*q*x^7-139*q^2*x^7-48*q^3*x^7-15*q^4*x^7-3*q^5*x^7-3*q^-8*x^8-10*q^-7*x^8-42*q^-6*x^8-85*q^-5*x^8-238*q^-4*x^8-462*q^-3*x^8-900*q^-2*x^8-1408*q^-1*x^8-2462*x^8-1408*q*x^8-900*q^2*x^8-462*q^3*x^8-238*q^4*x^8-85*q^5*x^8-42*q^6*x^8-10*q^7*x^8-3*q^8*x^8-q^-12*x^9-8*q^-11*x^9-20*q^-10*x^9-56*q^-9*x^9-138*q^-8*x^9-272*q^-7*x^9-593*q^-6*x^9-1054*q^-5*x^9-1989*q^-4*x^9-3140*q^-3*x^9-4898*q^-2*x^9-6679*q^-1*x^9-9270*x^9-6679*q*x^9-4898*q^2*x^9-3140*q^3*x^9-1989*q^4*x^9-1054*q^5*x^9-593*q^6*x^9-272*q^7*x^9-138*q^8*x^9-56*q^9*x^9-20*q^10*x^9-8*q^11*x^9-q^12*x^9-3*q^-16*x^10-9*q^-15*x^10-30*q^-14*x^10-61*q^-13*x^10-152*q^-12*x^10-292*q^-11*x^10-587*q^-10*x^10-1071*q^-9*x^10-1952*q^-8*x^10-3179*q^-7*x^10-5483*q^-6*x^10-8434*q^-5*x^10-13018*q^-4*x^10-18061*q^-3*x^10-24647*q^-2*x^10-30524*q^-1*x^10-36780*x^10-30524*q*x^10-24647*q^2*x^10-18061*q^3*x^10-13018*q^4*x^10-8434*q^5*x^10-5483*q^6*x^10-3179*q^7*x^10-1952*q^8*x^10-1071*q^9*x^10-587*q^10*x^10-292*q^11*x^10-152*q^12*x^10-61*q^13*x^10-30*q^14*x^10-9*q^15*x^10-3*q^16*x^10 10 14 14 Yes 12
12a_1168 [1, -2, 1, 1, -2, -2, -2, 1, 1, -2, -2, -2] [-1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1] -q^-1*x^4-3*q^-1*x^5+2*q^-2*x^6-6*q^-1*x^6+2*x^6+6*q^-2*x^7-11*q^-1*x^7+6*x^7+2*q*x^7-2*q^-4*x^8-q^-3*x^8+12*q^-2*x^8-22*q^-1*x^8+11*x^8+5*q*x^8-6*q^-4*x^9-2*q^-3*x^9+22*q^-2*x^9-39*q^-1*x^9+15*x^9+10*q*x^9-2*q^2*x^9+q^3*x^9-2*q^4*x^9+2*q^-7*x^10+2*q^-5*x^10-13*q^-4*x^10+q^-3*x^10+41*q^-2*x^10-61*q^-1*x^10+20*x^10+20*q*x^10-4*q^2*x^10+3*q^3*x^10-3*q^4*x^10-2*q^6*x^10 10 12 12 Yes 12
12a_1176 [1, -2, 1, 1, -2, -2, -2, -2, -2, 1, 1, -2] [1, 1, -1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1] -q^-1*x^4-3*q^-1*x^5+q^-2*x^6-6*q^-1*x^6+2*x^6+3*q^-2*x^7-11*q^-1*x^7+6*x^7+2*q*x^7+5*q^-2*x^8-20*q^-1*x^8+12*x^8+5*q*x^8-q^-3*x^9+8*q^-2*x^9-33*q^-1*x^9+20*x^9+11*q*x^9-2*q^2*x^9+q^3*x^9-2*q^4*x^9-q^-6*x^10-q^-4*x^10-2*q^-3*x^10+12*q^-2*x^10-49*q^-1*x^10+33*x^10+22*q*x^10-4*q^2*x^10+2*q^3*x^10-3*q^4*x^10-2*q^6*x^10 10 12 12 Yes 12
12a_1188 [1, 2, -3, 4, -3, 4, -2, 1, -2, 1, -3, -2, 4, -3] [-1, 1, 1, -1, 1, -1, -1, 1, -1, 1, -1, -1, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, 1] -x^3-8*x^4-36*x^5+5*q^-2*x^6-125*x^6+5*q^2*x^6+18*q^-3*x^7+40*q^-2*x^7-7*q^-1*x^7-370*x^7-7*q*x^7+40*q^2*x^7+18*q^3*x^7+42*q^-4*x^8+145*q^-3*x^8+182*q^-2*x^8-57*q^-1*x^8-995*x^8-57*q*x^8+182*q^2*x^8+145*q^3*x^8+42*q^4*x^8-7*q^-7*x^9-4*q^-6*x^9+78*q^-5*x^9+344*q^-4*x^9+702*q^-3*x^9+631*q^-2*x^9-302*q^-1*x^9-2548*x^9-302*q*x^9+631*q^2*x^9+702*q^3*x^9+344*q^4*x^9+78*q^5*x^9-4*q^6*x^9-7*q^7*x^9+q^-10*x^10-23*q^-9*x^10-36*q^-8*x^10-81*q^-7*x^10+94*q^-6*x^10+645*q^-5*x^10+1739*q^-4*x^10+2661*q^-3*x^10+1809*q^-2*x^10-1337*q^-1*x^10-6456*x^10-1337*q*x^10+1809*q^2*x^10+2661*q^3*x^10+1739*q^4*x^10+645*q^5*x^10+94*q^6*x^10-81*q^7*x^10-36*q^8*x^10-23*q^9*x^10+q^10*x^10 10 14 14 Yes 12
12a_1190 [-1, 2, 3, -4, -1, 2, 2, 3, -4, 3, -2, 3, -4, 3] [1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, -1] -q*x^3-8*q*x^4-5*x^5-36*q*x^5-q^-2*x^6-13*q^-1*x^6-39*x^6-129*q*x^6-3*q^-4*x^7-15*q^-3*x^7-36*q^-2*x^7-107*q^-1*x^7-204*x^7-399*q*x^7-16*q^2*x^7+q^3*x^7-q^5*x^7-3*q^-7*x^8-10*q^-6*x^8-42*q^-5*x^8-79*q^-4*x^8-178*q^-3*x^8-295*q^-2*x^8-590*q^-1*x^8-837*x^8-1160*q*x^8-117*q^2*x^8-20*q^3*x^8-2*q^4*x^8-3*q^5*x^8-2*q^6*x^8-2*q^7*x^8-q^-11*x^9-8*q^-10*x^9-20*q^-9*x^9-56*q^-8*x^9-134*q^-7*x^9-253*q^-6*x^9-506*q^-5*x^9-735*q^-4*x^9-1164*q^-3*x^9-1673*q^-2*x^9-2592*q^-1*x^9-3054*x^9-3278*q*x^9-626*q^2*x^9-177*q^3*x^9-53*q^4*x^9-7*q^5*x^9-2*q^6*x^9-14*q^7*x^9-7*q^8*x^9-3*q^9*x^9-q^10*x^9-3*q^-15*x^10-9*q^-14*x^10-30*q^-13*x^10-61*q^-12*x^10-151*q^-11*x^10-280*q^-10*x^10-546*q^-9*x^10-958*q^-8*x^10-1623*q^-7*x^10-2393*q^-6*x^10-3539*q^-5*x^10-4383*q^-4*x^10-5987*q^-3*x^10-7724*q^-2*x^10-10093*q^-1*x^10-10375*x^10-9382*q*x^10-2759*q^2*x^10-1071*q^3*x^10-376*q^4*x^10-66*q^5*x^10+41*q^6*x^10-22*q^7*x^10-56*q^8*x^10-47*q^9*x^10-25*q^10*x^10-6*q^11*x^10-2*q^12*x^10-2*q^13*x^10 10 14 14 Yes 12
12a_1191 [1, -2, -2, 1, -2, 1, -2, 1, -2, -2, -2, -2] [-1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1] -q^-2*x^4-4*q^-2*x^5+2*q^-3*x^6-10*q^-2*x^6+q^-4*x^7+8*q^-3*x^7-21*q^-2*x^7+3*q^-4*x^8+20*q^-3*x^8-39*q^-2*x^8-2*q^-1*x^8-q*x^8-q^-7*x^9+q^-6*x^9-q^-5*x^9+6*q^-4*x^9+42*q^-3*x^9-67*q^-2*x^9-8*q^-1*x^9-2*x^9-4*q*x^9-4*q^2*x^9-q^-9*x^10-4*q^-7*x^10+3*q^-6*x^10-4*q^-5*x^10+12*q^-4*x^10+78*q^-3*x^10-105*q^-2*x^10-22*q^-1*x^10-6*x^10-10*q*x^10-16*q^2*x^10-10*q^3*x^10 10 12 12 Yes 12
12a_1195 [1, -2, -3, 1, 2, 2, -3, 2, -3, -4, 2, 2, 3, -4] [1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1] -q*x^3-8*q*x^4-5*x^5-36*q*x^5-2*q^2*x^5-q^-2*x^6-13*q^-1*x^6-39*x^6-129*q*x^6-16*q^2*x^6-8*q^3*x^6-3*q^-4*x^7-15*q^-3*x^7-36*q^-2*x^7-107*q^-1*x^7-203*x^7-409*q*x^7-95*q^2*x^7-62*q^3*x^7-21*q^4*x^7-5*q^5*x^7-3*q^-7*x^8-10*q^-6*x^8-42*q^-5*x^8-79*q^-4*x^8-178*q^-3*x^8-300*q^-2*x^8-589*q^-1*x^8-852*x^8-1255*q*x^8-460*q^2*x^8-344*q^3*x^8-176*q^4*x^8-81*q^5*x^8-21*q^6*x^8-12*q^7*x^8-q^-11*x^9-8*q^-10*x^9-20*q^-9*x^9-56*q^-8*x^9-134*q^-7*x^9-253*q^-6*x^9-507*q^-5*x^9-750*q^-4*x^9-1201*q^-3*x^9-1728*q^-2*x^9-2649*q^-1*x^9-3262*x^9-3899*q*x^9-2033*q^2*x^9-1613*q^3*x^9-1026*q^4*x^9-591*q^5*x^9-271*q^6*x^9-154*q^7*x^9-53*q^8*x^9-26*q^9*x^9-7*q^10*x^9-3*q^-15*x^10-9*q^-14*x^10-30*q^-13*x^10-61*q^-12*x^10-151*q^-11*x^10-280*q^-10*x^10-546*q^-9*x^10-961*q^-8*x^10-1639*q^-7*x^10-2451*q^-6*x^10-3671*q^-5*x^10-4692*q^-4*x^10-6424*q^-3*x^10-8266*q^-2*x^10-10820*q^-1*x^10-12007*x^10-12726*q*x^10-8444*q^2*x^10-7023*q^3*x^10-5026*q^4*x^10-3343*q^5*x^10-1939*q^6*x^10-1245*q^7*x^10-647*q^8*x^10-386*q^9*x^10-177*q^10*x^10-81*q^11*x^10-28*q^12*x^10-16*q^13*x^10 10 14 14 Yes 12
12a_1199 [1, -2, -2, 1, -2, 1, 1, 1, -2, 1, -2, -2] [-1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1] -x^4-4*x^5+2*q^-1*x^6-10*x^6+q*x^6+2*q^-2*x^7+8*q^-1*x^7-20*x^7+4*q*x^7+7*q^-2*x^8+22*q^-1*x^8-37*x^8+10*q*x^8-q^3*x^8-2*q^-5*x^9-2*q^-3*x^9+18*q^-2*x^9+46*q^-1*x^9-62*x^9+20*q*x^9-q^2*x^9-4*q^3*x^9-2*q^-7*x^10-9*q^-5*x^10-3*q^-4*x^10-9*q^-3*x^10+36*q^-2*x^10+85*q^-1*x^10-98*x^10+36*q*x^10-2*q^2*x^10-12*q^3*x^10-q^5*x^10+q^6*x^10 10 12 12 Yes 12
12a_1203 [1, -2, -2, -2, 1, 1, -2, 1, 1, -2, -2, -2] [1, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1] -q^-1*x^4-3*q^-1*x^5+2*q^-2*x^6-6*q^-1*x^6+2*x^6+6*q^-2*x^7-10*q^-1*x^7+6*x^7+2*q*x^7-2*q^-4*x^8-q^-3*x^8+12*q^-2*x^8-19*q^-1*x^8+12*x^8+5*q*x^8-6*q^-4*x^9-3*q^-3*x^9+20*q^-2*x^9-33*q^-1*x^9+16*x^9+9*q*x^9-2*q^2*x^9+q^3*x^9-2*q^4*x^9+2*q^-7*x^10+2*q^-5*x^10-12*q^-4*x^10-2*q^-3*x^10+34*q^-2*x^10-52*q^-1*x^10+20*x^10+14*q*x^10-7*q^2*x^10+2*q^3*x^10-3*q^4*x^10-2*q^6*x^10 10 12 12 Yes 12
12a_1209 [-1, -1, -1, 2, 2, 2, -1, 2, -1, 2, -1, 2] [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1] -x^4-4*x^5+q^-1*x^6-10*x^6+q*x^6+4*q^-1*x^7-22*x^7+4*q*x^7-q^-3*x^8+8*q^-1*x^8-44*x^8+8*q*x^8-q^3*x^8-4*q^-3*x^9-2*q^-2*x^9+14*q^-1*x^9-83*x^9+14*q*x^9-2*q^2*x^9-4*q^3*x^9+q^-6*x^10-q^-5*x^10-13*q^-3*x^10-5*q^-2*x^10+19*q^-1*x^10-145*x^10+19*q*x^10-5*q^2*x^10-13*q^3*x^10-q^5*x^10+q^6*x^10 10 12 12 Yes 12
12a_1210 [1, -2, 1, -2, -2, -2, 1, -2, 1, -2, -2, -2] [1, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1] -q^-2*x^4-4*q^-2*x^5+2*q^-3*x^6-10*q^-2*x^6+8*q^-3*x^7-21*q^-2*x^7-2*q^-5*x^8-q^-4*x^8+20*q^-3*x^8-39*q^-2*x^8-2*q^-1*x^8-q*x^8-8*q^-5*x^9-6*q^-4*x^9+42*q^-3*x^9-66*q^-2*x^9-8*q^-1*x^9-2*x^9-4*q*x^9-4*q^2*x^9+2*q^-8*x^10+2*q^-6*x^10-24*q^-5*x^10-18*q^-4*x^10+76*q^-3*x^10-101*q^-2*x^10-20*q^-1*x^10-6*x^10-10*q*x^10-16*q^2*x^10-10*q^3*x^10 10 12 12 Yes 12
12a_1211 [-1, 2, -1, -1, 2, 2, -1, 2, -1, 2, -1, 2] [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1] -x^4-5*x^5+q^-1*x^6-15*x^6+q*x^6+q^-2*x^7+5*q^-1*x^7-38*x^7+5*q*x^7+q^2*x^7+5*q^-2*x^8+12*q^-1*x^8-86*x^8+12*q*x^8+5*q^2*x^8-q^-5*x^9+13*q^-2*x^9+22*q^-1*x^9-182*x^9+22*q*x^9+13*q^2*x^9-q^5*x^9-q^-7*x^10-6*q^-5*x^10-2*q^-3*x^10+31*q^-2*x^10+28*q^-1*x^10-361*x^10+28*q*x^10+31*q^2*x^10-2*q^3*x^10-6*q^5*x^10-q^7*x^10 10 12 12 Yes 12
12a_1212 [1, -2, 1, -2, 1, -2, 1, -2, 1, 1, 1, -2] [1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1] -q*x^4-5*q*x^5-15*q*x^6+q^2*x^6-38*q*x^7+5*q^2*x^7-4*x^8-85*q*x^8+12*q^2*x^8-q^4*x^8+q^-3*x^9-4*q^-1*x^9-20*x^9-177*q*x^9+23*q^2*x^9-4*q^3*x^9-5*q^4*x^9+5*q^-4*x^10+5*q^-3*x^10-4*q^-2*x^10-20*q^-1*x^10-69*x^10-347*q*x^10+31*q^2*x^10-17*q^3*x^10-20*q^4*x^10+q^7*x^10 10 12 12 Yes 12
12a_1214 [1, 1, 1, 1, 1, -2, 1, 1, 1, 1, 1, -2] [1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1] -q^4*x^4-2*q^4*x^5-q^3*x^6-3*q^4*x^6+2*q^5*x^6-2*q^2*x^7-2*q^3*x^7-3*q^4*x^7+4*q^5*x^7-x^8-3*q*x^8-4*q^2*x^8-q^3*x^8-q^4*x^8+6*q^5*x^8-q^6*x^8-2*q^-2*x^9-2*q^-1*x^9-6*x^9-5*q*x^9-2*q^2*x^9+4*q^3*x^9+q^4*x^9+6*q^5*x^9-2*q^6*x^9-q^-5*x^10-3*q^-4*x^10-4*q^-3*x^10-7*q^-2*x^10-7*q^-1*x^10-7*x^10+q*x^10+6*q^2*x^10+8*q^3*x^10-q^4*x^10+5*q^5*x^10-3*q^6*x^10-2*q^9*x^10 10 12 12 Yes 12
12a_1215 [1, 1, 1, -2, 1, -2, -2, 1, 1, 1, 1, -2] [1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1] -q^2*x^4-3*q^2*x^5+q*x^6-6*q^2*x^6+2*q^3*x^6+x^7+3*q*x^7-10*q^2*x^7+6*q^3*x^7-q^-1*x^8+3*x^8+6*q*x^8-17*q^2*x^8+12*q^3*x^8-q^4*x^8-q^5*x^8-q^-3*x^9-3*q^-2*x^9-3*q^-1*x^9+7*x^9+8*q*x^9-27*q^2*x^9+20*q^3*x^9-4*q^4*x^9-3*q^5*x^9+q^6*x^9-q^-5*x^10+q^-4*x^10-8*q^-3*x^10-9*q^-2*x^10-3*q^-1*x^10+15*x^10+9*q*x^10-40*q^2*x^10+30*q^3*x^10-8*q^4*x^10-7*q^5*x^10+4*q^6*x^10+q^8*x^10 10 12 12 Yes 12
12a_1218 [-1, 2, -1, -1, -1, -1, 2, 2, 2, 2, -1, 2] [-1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, -1] -x^4-3*x^5+q^-1*x^6-6*x^6+q*x^6+3*q^-1*x^7-11*x^7+3*q*x^7+5*q^-1*x^8-19*x^8+5*q*x^8+q^-4*x^9-q^-2*x^9+8*q^-1*x^9-31*x^9+8*q*x^9-q^2*x^9+q^4*x^9-q^-5*x^10+3*q^-4*x^10-q^-3*x^10-2*q^-2*x^10+11*q^-1*x^10-46*x^10+11*q*x^10-2*q^2*x^10-q^3*x^10+3*q^4*x^10-q^5*x^10 10 12 12 Yes 12
12a_1219 [1, 1, 1, -2, 1, -2, -2, 1, -2, -2, -2, -2] [-1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1] -q^-1*x^4-3*q^-1*x^5+2*q^-2*x^6-6*q^-1*x^6+x^6+q^-3*x^7+6*q^-2*x^7-10*q^-1*x^7+3*x^7+2*q^-3*x^8+13*q^-2*x^8-17*q^-1*x^8+6*x^8-q^2*x^8-q^-6*x^9+q^-5*x^9-q^-4*x^9+4*q^-3*x^9+22*q^-2*x^9-26*q^-1*x^9+10*x^9-3*q^2*x^9+q^3*x^9-q^-8*x^10-3*q^-6*x^10+2*q^-5*x^10-3*q^-4*x^10+6*q^-3*x^10+35*q^-2*x^10-38*q^-1*x^10+16*x^10+2*q*x^10-7*q^2*x^10+3*q^3*x^10+3*q^4*x^10+q^5*x^10 10 12 12 Yes 12
12a_1220 [1, -2, 1, -2, -2, -2, -2, 1, -2, -2, -2, -2] [-1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1] -q^-3*x^4-3*q^-3*x^5+2*q^-4*x^6-6*q^-3*x^6+6*q^-4*x^7-10*q^-3*x^7+q^-1*x^7-q^-5*x^8+12*q^-4*x^8-15*q^-3*x^8-q^-2*x^8+3*q^-1*x^8+3*x^8+2*q^-7*x^9-3*q^-5*x^9+20*q^-4*x^9-21*q^-3*x^9-5*q^-2*x^9+3*q^-1*x^9+9*x^9+6*q*x^9+6*q^-7*x^10+2*q^-6*x^10-6*q^-5*x^10+30*q^-4*x^10-26*q^-3*x^10-12*q^-2*x^10-5*q^-1*x^10+12*x^10+18*q*x^10+10*q^2*x^10-q^4*x^10 10 12 12 Yes 12
12a_1221 [1, 1, 1, -2, 1, -2, 1, 1, -2, 1, -2, -2] [1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1] -q*x^4-4*q*x^5+x^6-10*q*x^6+2*q^2*x^6+q^-1*x^7+4*x^7-21*q*x^7+8*q^2*x^7+q^3*x^7+4*q^-1*x^8+9*x^8-41*q*x^8+21*q^2*x^8+3*q^3*x^8-q^4*x^8-q^-4*x^9+q^-3*x^9+10*q^-1*x^9+15*x^9-73*q*x^9+45*q^2*x^9+8*q^3*x^9-5*q^4*x^9-q^6*x^9-q^-6*x^10+4*q^-3*x^10+22*q^-1*x^10+22*x^10-121*q*x^10+89*q^2*x^10+19*q^3*x^10-14*q^4*x^10-4*q^6*x^10+q^7*x^10-q^8*x^10 10 12 12 Yes 12
12a_1222 [1, -2, 1, -2, 1, -2, 1, 1, -2, -2, -2, 1] [-1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1] -x^4-4*x^5+q^-1*x^6-10*x^6+2*q*x^6+4*q^-1*x^7-22*x^7+8*q*x^7+2*q^2*x^7-q^-3*x^8+8*q^-1*x^8-45*x^8+19*q*x^8+7*q^2*x^8-4*q^-3*x^9-q^-2*x^9+14*q^-1*x^9-86*x^9+38*q*x^9+17*q^2*x^9-2*q^3*x^9-2*q^5*x^9+q^-6*x^10-q^-5*x^10-12*q^-3*x^10+22*q^-1*x^10-150*x^10+69*q*x^10+40*q^2*x^10-7*q^3*x^10-q^4*x^10-9*q^5*x^10-2*q^7*x^10 10 12 12 Yes 12
12a_1223 [1, 1, 1, -2, 1, 1, 1, -2, -2, 1, 1, -2] [-1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1] -q^2*x^4-3*q^2*x^5+q*x^6-6*q^2*x^6+3*q^3*x^6+x^7+3*q*x^7-10*q^2*x^7+9*q^3*x^7+q^4*x^7-q^-1*x^8+3*x^8+5*q*x^8-18*q^2*x^8+18*q^3*x^8-2*q^5*x^8-q^-3*x^9-3*q^-2*x^9-3*q^-1*x^9+6*x^9+4*q*x^9-31*q^2*x^9+29*q^3*x^9-4*q^4*x^9-8*q^5*x^9-q^7*x^9-q^-5*x^10+q^-4*x^10-8*q^-3*x^10-8*q^-2*x^10-2*q^-1*x^10+13*x^10-q*x^10-47*q^2*x^10+45*q^3*x^10-9*q^4*x^10-17*q^5*x^10+4*q^6*x^10-3*q^7*x^10+2*q^8*x^10-q^9*x^10 10 12 12 Yes 12
12a_1225 [-1, 2, -1, -1, 2, 2, -1, -1, 2, 2, -1, 2] [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1] -x^4-4*x^5+2*q^-1*x^6-10*x^6+2*q*x^6+2*q^-2*x^7+8*q^-1*x^7-22*x^7+8*q*x^7+2*q^2*x^7+7*q^-2*x^8+18*q^-1*x^8-47*x^8+18*q*x^8+7*q^2*x^8-2*q^-5*x^9-2*q^-3*x^9+16*q^-2*x^9+32*q^-1*x^9-96*x^9+32*q*x^9+16*q^2*x^9-2*q^3*x^9-2*q^5*x^9-2*q^-7*x^10-9*q^-5*x^10-7*q^-3*x^10+37*q^-2*x^10+51*q^-1*x^10-179*x^10+51*q*x^10+37*q^2*x^10-7*q^3*x^10-9*q^5*x^10-2*q^7*x^10 10 12 12 Yes 12
12a_1226 [1, 1, 1, -2, -2, -2, 1, -2, -2, 1, -2, -2] [-1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1] -q^-1*x^4-3*q^-1*x^5+3*q^-2*x^6-6*q^-1*x^6+x^6+2*q^-3*x^7+9*q^-2*x^7-10*q^-1*x^7+3*x^7-q^-4*x^8+3*q^-3*x^8+19*q^-2*x^8-18*q^-1*x^8+6*x^8-q^2*x^8-2*q^-6*x^9-7*q^-4*x^9+3*q^-3*x^9+31*q^-2*x^9-29*q^-1*x^9+10*x^9+q*x^9-3*q^2*x^9+q^3*x^9-2*q^-8*x^10+q^-7*x^10-6*q^-6*x^10-19*q^-4*x^10+q^-3*x^10+48*q^-2*x^10-44*q^-1*x^10+17*x^10+6*q*x^10-6*q^2*x^10+3*q^3*x^10+3*q^4*x^10+q^5*x^10 10 12 12 Yes 12
12a_1227 [1, -2, 1, -2, 1, 1, -2, -2, -2, 1, -2, -2] [1, 1, -1, 1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, 1] -q^-1*x^4-4*q^-1*x^5+2*q^-2*x^6-10*q^-1*x^6+x^6+q^-3*x^7+8*q^-2*x^7-21*q^-1*x^7+4*x^7+q*x^7-q^-4*x^8+3*q^-3*x^8+20*q^-2*x^8-41*q^-1*x^8+9*x^8+4*q*x^8-q^-6*x^9-5*q^-4*x^9+6*q^-3*x^9+41*q^-2*x^9-74*q^-1*x^9+15*x^9+10*q*x^9+q^3*x^9-q^4*x^9-q^-8*x^10+q^-7*x^10-4*q^-6*x^10-15*q^-4*x^10+13*q^-3*x^10+77*q^-2*x^10-124*q^-1*x^10+22*x^10+22*q*x^10+4*q^3*x^10-q^6*x^10 10 12 12 Yes 12
12a_1229 [-1, -1, 2, 2, -1, 2, -1, -1, 2, 2, -1, 2] [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1] -x^4-4*x^5+2*q^-1*x^6-10*x^6+2*q*x^6+2*q^-2*x^7+8*q^-1*x^7-21*x^7+8*q*x^7+2*q^2*x^7+7*q^-2*x^8+20*q^-1*x^8-43*x^8+20*q*x^8+7*q^2*x^8-2*q^-5*x^9-2*q^-3*x^9+18*q^-2*x^9+38*q^-1*x^9-84*x^9+38*q*x^9+18*q^2*x^9-2*q^3*x^9-2*q^5*x^9-2*q^-7*x^10-9*q^-5*x^10-q^-4*x^10-6*q^-3*x^10+40*q^-2*x^10+62*q^-1*x^10-157*x^10+62*q*x^10+40*q^2*x^10-6*q^3*x^10-q^4*x^10-9*q^5*x^10-2*q^7*x^10 10 12 12 Yes 12
12a_1230 [1, -2, 1, -2, 1, 1, -2, -2, 1, 1, -2, 1] [-1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1] -q*x^4-4*q*x^5+x^6-10*q*x^6+3*q^2*x^6+q^-1*x^7+4*x^7-21*q*x^7+12*q^2*x^7+3*q^3*x^7+4*q^-1*x^8+8*x^8-42*q*x^8+31*q^2*x^8+9*q^3*x^8-q^-4*x^9+q^-3*x^9+9*q^-1*x^9+10*x^9-79*q*x^9+64*q^2*x^9+20*q^3*x^9-6*q^4*x^9-3*q^6*x^9-q^-6*x^10+5*q^-3*x^10+18*q^-1*x^10+6*x^10-137*q*x^10+121*q^2*x^10+39*q^3*x^10-23*q^4*x^10-4*q^5*x^10-12*q^6*x^10-3*q^8*x^10 10 12 12 Yes 12
12a_1231 [1, -2, 1, -2, 1, -2, -2, -2, 1, 1, -2, 1] [-1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1] -x^4-4*x^5+q^-1*x^6-10*x^6+2*q*x^6+4*q^-1*x^7-21*x^7+8*q*x^7+2*q^2*x^7-q^-3*x^8+9*q^-1*x^8-41*x^8+20*q*x^8+7*q^2*x^8-4*q^-3*x^9-q^-2*x^9+17*q^-1*x^9-74*x^9+40*q*x^9+16*q^2*x^9-2*q^3*x^9-2*q^5*x^9+q^-6*x^10-q^-5*x^10-12*q^-3*x^10-q^-2*x^10+30*q^-1*x^10-123*x^10+72*q*x^10+33*q^2*x^10-10*q^3*x^10-2*q^4*x^10-9*q^5*x^10-2*q^7*x^10 10 12 12 Yes 12
12a_1233 [1, 1, 1, -2, 1, 1, 1, 1, 1, -2, -2, -2] [1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1] -q^2*x^4-2*q^2*x^5+q*x^6-3*q^2*x^6+2*q^3*x^6+2*q*x^7-4*q^2*x^7+4*q^3*x^7-2*q^-1*x^8+3*q*x^8-7*q^2*x^8+6*q^3*x^8-q^4*x^8-q^5*x^8-2*q^-2*x^9-4*q^-1*x^9+x^9+4*q*x^9-10*q^2*x^9+8*q^3*x^9-2*q^4*x^9-2*q^5*x^9+2*q^-4*x^10-2*q^-3*x^10-4*q^-2*x^10-4*q^-1*x^10+6*x^10+5*q*x^10-13*q^2*x^10+11*q^3*x^10-2*q^4*x^10-3*q^5*x^10+q^6*x^10-q^7*x^10+q^8*x^10 10 12 12 Yes 12
12a_1235 [1, -2, 1, -2, -2, 1, 1, 1, 1, -2, -2, -2] [-1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1] -x^4-3*x^5+2*q^-1*x^6-6*x^6+q*x^6+q^-2*x^7+6*q^-1*x^7-11*x^7+3*q*x^7-q^-3*x^8+2*q^-2*x^8+12*q^-1*x^8-20*x^8+5*q*x^8-q^-5*x^9-4*q^-3*x^9+4*q^-2*x^9+21*q^-1*x^9-33*x^9+8*q*x^9-q^2*x^9+q^4*x^9-q^-7*x^10+q^-6*x^10-4*q^-5*x^10+q^-4*x^10-9*q^-3*x^10+9*q^-2*x^10+35*q^-1*x^10-49*x^10+12*q*x^10-2*q^2*x^10-2*q^3*x^10+3*q^4*x^10-q^5*x^10 10 12 12 Yes 12
12a_1238 [1, -2, 1, -2, 1, 1, 1, 1, -2, -2, -2, 1] [-1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1] -q*x^4-3*q*x^5+x^6-6*q*x^6+2*q^2*x^6+3*x^7-11*q*x^7+6*q^2*x^7+q^3*x^7-q^-2*x^8+5*x^8-20*q*x^8+12*q^2*x^8+2*q^3*x^8+q^-3*x^9-3*q^-2*x^9+8*x^9-33*q*x^9+21*q^2*x^9+4*q^3*x^9-q^4*x^9+q^5*x^9-q^6*x^9+q^-5*x^10+3*q^-4*x^10+3*q^-3*x^10-7*q^-2*x^10+3*q^-1*x^10+13*x^10-49*q*x^10+35*q^2*x^10+8*q^3*x^10-2*q^4*x^10+3*q^5*x^10-3*q^6*x^10-q^8*x^10 10 12 12 Yes 12
12a_1246 [1, 1, 1, -2, 1, 1, -2, -2, -2, 1, 1, -2] [-1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1] -q*x^4-3*q*x^5+x^6-6*q*x^6+3*q^2*x^6+3*x^7-10*q*x^7+9*q^2*x^7+2*q^3*x^7-q^-2*x^8+6*x^8-18*q*x^8+18*q^2*x^8+3*q^3*x^8-q^4*x^8+q^-3*x^9-3*q^-2*x^9+q^-1*x^9+10*x^9-30*q*x^9+28*q^2*x^9+2*q^3*x^9-7*q^4*x^9-2*q^6*x^9+q^-5*x^10+3*q^-4*x^10+3*q^-3*x^10-6*q^-2*x^10+6*q^-1*x^10+17*x^10-46*q*x^10+41*q^2*x^10-17*q^4*x^10+q^5*x^10-6*q^6*x^10+q^7*x^10-2*q^8*x^10 10 12 12 Yes 12
12a_1248 [1, -2, 1, -2, 1, -2, -2, 1, -2, 1, -2, -2] [1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, 1] -q^-1*x^4-5*q^-1*x^5+2*q^-2*x^6-15*q^-1*x^6+2*q^-3*x^7+10*q^-2*x^7-37*q^-1*x^7+9*q^-3*x^8+31*q^-2*x^8-80*q^-1*x^8-3*x^8-2*q^-6*x^9-2*q^-4*x^9+28*q^-3*x^9+79*q^-2*x^9-156*q^-1*x^9-15*x^9-3*q*x^9+q^3*x^9-2*q^-8*x^10-10*q^-6*x^10-3*q^-5*x^10-9*q^-4*x^10+74*q^-3*x^10+181*q^-2*x^10-277*q^-1*x^10-46*x^10-15*q*x^10-3*q^2*x^10+5*q^3*x^10+5*q^4*x^10 10 12 12 Yes 12
12a_1249 [-1, 2, -1, -1, 2, -1, 2, 2, -1, 2, -1, 2] [-1, -1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, -1] -x^4-5*x^5+q^-1*x^6-15*x^6+q*x^6+q^-2*x^7+5*q^-1*x^7-37*x^7+5*q*x^7+q^2*x^7+5*q^-2*x^8+14*q^-1*x^8-81*x^8+14*q*x^8+5*q^2*x^8-q^-5*x^9+15*q^-2*x^9+31*q^-1*x^9-162*x^9+31*q*x^9+15*q^2*x^9-q^5*x^9-q^-7*x^10-6*q^-5*x^10-q^-4*x^10-q^-3*x^10+39*q^-2*x^10+60*q^-1*x^10-302*x^10+60*q*x^10+39*q^2*x^10-q^3*x^10-q^4*x^10-6*q^5*x^10-q^7*x^10 10 12 12 Yes 12
12a_1250 [1, 1, -2, -2, 1, -2, 1, -2, -2, 1, 1, -2] [1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1] -x^4-4*x^5+2*q^-1*x^6-10*x^6+2*q*x^6+2*q^-2*x^7+8*q^-1*x^7-21*x^7+8*q*x^7+2*q^2*x^7+7*q^-2*x^8+20*q^-1*x^8-43*x^8+19*q*x^8+7*q^2*x^8-2*q^-5*x^9-2*q^-3*x^9+18*q^-2*x^9+38*q^-1*x^9-84*x^9+34*q*x^9+15*q^2*x^9-2*q^3*x^9-2*q^5*x^9-2*q^-7*x^10-9*q^-5*x^10-q^-4*x^10-6*q^-3*x^10+40*q^-2*x^10+64*q^-1*x^10-155*x^10+52*q*x^10+30*q^2*x^10-10*q^3*x^10-q^4*x^10-9*q^5*x^10-2*q^7*x^10 10 12 12 Yes 12
12a_1253 [1, -2, -2, 1, 1, -2, 1, -2, -2, 1, -2, -2] [-1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1] -q^-1*x^4-4*q^-1*x^5+3*q^-2*x^6-10*q^-1*x^6+x^6+3*q^-3*x^7+12*q^-2*x^7-20*q^-1*x^7+4*x^7+q*x^7+9*q^-3*x^8+32*q^-2*x^8-38*q^-1*x^8+10*x^8+4*q*x^8-3*q^-6*x^9-6*q^-4*x^9+19*q^-3*x^9+65*q^-2*x^9-67*q^-1*x^9+17*x^9+11*q*x^9+q^3*x^9-q^4*x^9-3*q^-8*x^10-12*q^-6*x^10-5*q^-5*x^10-26*q^-4*x^10+30*q^-3*x^10+116*q^-2*x^10-115*q^-1*x^10+24*x^10+24*q*x^10+q^2*x^10+4*q^3*x^10-q^6*x^10 10 12 12 Yes 12
12a_1254 [-1, -1, 2, 2, -1, 2, 2, 2, -1, -1, -1, 2] [-1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, -1, -1] -x^4-3*x^5+2*q^-1*x^6-6*x^6+2*q*x^6+q^-2*x^7+6*q^-1*x^7-10*x^7+6*q*x^7+q^2*x^7-q^-3*x^8+2*q^-2*x^8+12*q^-1*x^8-19*x^8+12*q*x^8+2*q^2*x^8-q^3*x^8-q^-5*x^9-4*q^-3*x^9+3*q^-2*x^9+18*q^-1*x^9-34*x^9+18*q*x^9+3*q^2*x^9-4*q^3*x^9-q^5*x^9-q^-7*x^10+q^-6*x^10-4*q^-5*x^10+q^-4*x^10-9*q^-3*x^10+6*q^-2*x^10+25*q^-1*x^10-56*x^10+25*q*x^10+6*q^2*x^10-9*q^3*x^10+q^4*x^10-4*q^5*x^10+q^6*x^10-q^7*x^10 10 12 12 Yes 12
12a_1255 [1, -2, 1, 1, 1, -2, 1, -2, 1, 1, -2, 1] [-1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1] -q^2*x^4-4*q^2*x^5-10*q^2*x^6+3*q^3*x^6-20*q^2*x^7+12*q^3*x^7+2*q^4*x^7-q^-1*x^8-q*x^8-35*q^2*x^8+32*q^3*x^8+5*q^4*x^8-q^5*x^8-4*q^-2*x^9-4*q^-1*x^9-x^9-4*q*x^9-54*q^2*x^9+68*q^3*x^9+8*q^4*x^9-8*q^5*x^9-2*q^7*x^9-10*q^-3*x^10-16*q^-2*x^10-8*q^-1*x^10-x^10-8*q*x^10-73*q^2*x^10+126*q^3*x^10+6*q^4*x^10-28*q^5*x^10-q^6*x^10-8*q^7*x^10+q^8*x^10-2*q^9*x^10 10 12 12 Yes 12
12a_1258 [1, 1, -2, -2, 1, -2, 1, 1, 1, -2, -2, -2] [-1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1] -x^4-3*x^5+2*q^-1*x^6-6*x^6+2*q*x^6+q^-2*x^7+6*q^-1*x^7-11*x^7+6*q*x^7+q^2*x^7-q^-3*x^8+2*q^-2*x^8+12*q^-1*x^8-22*x^8+11*q*x^8+2*q^2*x^8-q^3*x^8-q^-5*x^9-4*q^-3*x^9+5*q^-2*x^9+20*q^-1*x^9-40*x^9+17*q*x^9+3*q^2*x^9-4*q^3*x^9-q^5*x^9-q^-7*x^10+q^-6*x^10-4*q^-5*x^10+q^-4*x^10-8*q^-3*x^10+13*q^-2*x^10+33*q^-1*x^10-65*x^10+25*q*x^10+8*q^2*x^10-9*q^3*x^10+2*q^4*x^10-4*q^5*x^10+q^6*x^10-q^7*x^10 10 12 12 Yes 12
12a_1260 [-1, 2, 2, 2, -1, -1, 2, 2, -1, -1, -1, 2] [-1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1] -x^4-3*x^5+2*q^-1*x^6-6*x^6+2*q*x^6+q^-2*x^7+6*q^-1*x^7-11*x^7+6*q*x^7+q^2*x^7-q^-3*x^8+2*q^-2*x^8+11*q^-1*x^8-22*x^8+11*q*x^8+2*q^2*x^8-q^3*x^8-q^-5*x^9-4*q^-3*x^9+3*q^-2*x^9+17*q^-1*x^9-40*x^9+17*q*x^9+3*q^2*x^9-4*q^3*x^9-q^5*x^9-q^-7*x^10+q^-6*x^10-4*q^-5*x^10+2*q^-4*x^10-9*q^-3*x^10+8*q^-2*x^10+27*q^-1*x^10-63*x^10+27*q*x^10+8*q^2*x^10-9*q^3*x^10+2*q^4*x^10-4*q^5*x^10+q^6*x^10-q^7*x^10 10 12 12 Yes 12
12a_1273 [-1, 2, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2] [-1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1] -x^4-2*x^5+q^-1*x^6-3*x^6+q*x^6+2*q^-1*x^7-4*x^7+2*q*x^7+3*q^-1*x^8-6*x^8+3*q*x^8+4*q^-1*x^9-8*x^9+4*q*x^9-2*q^-5*x^10+5*q^-1*x^10-10*x^10+5*q*x^10-2*q^5*x^10 10 12 12 Yes 12
12a_1280 [-1, 2, 3, -1, 3, 3, -2, 3, -2, 4, -2, -2, -3, 4] [1, -1, 1, 1, -1, 1, -1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1] -x^3-8*x^4-4*q^-1*x^5-36*x^5-4*q*x^5-q^-3*x^6-14*q^-2*x^6-31*q^-1*x^6-131*x^6-31*q*x^6-14*q^2*x^6-q^3*x^6-3*q^-5*x^7-15*q^-4*x^7-47*q^-3*x^7-110*q^-2*x^7-171*q^-1*x^7-428*x^7-171*q*x^7-110*q^2*x^7-47*q^3*x^7-15*q^4*x^7-3*q^5*x^7-3*q^-8*x^8-10*q^-7*x^8-42*q^-6*x^8-83*q^-5*x^8-217*q^-4*x^8-381*q^-3*x^8-610*q^-2*x^8-778*q^-1*x^8-1379*x^8-778*q*x^8-610*q^2*x^8-381*q^3*x^8-217*q^4*x^8-83*q^5*x^8-42*q^6*x^8-10*q^7*x^8-3*q^8*x^8-q^-12*x^9-8*q^-11*x^9-20*q^-10*x^9-56*q^-9*x^9-135*q^-8*x^9-260*q^-7*x^9-534*q^-6*x^9-907*q^-5*x^9-1567*q^-4*x^9-2189*q^-3*x^9-2862*q^-2*x^9-3304*q^-1*x^9-4578*x^9-3304*q*x^9-2862*q^2*x^9-2189*q^3*x^9-1567*q^4*x^9-907*q^5*x^9-534*q^6*x^9-260*q^7*x^9-135*q^8*x^9-56*q^9*x^9-20*q^10*x^9-8*q^11*x^9-q^12*x^9-3*q^-16*x^10-9*q^-15*x^10-30*q^-14*x^10-61*q^-13*x^10-151*q^-12*x^10-283*q^-11*x^10-558*q^-10*x^10-986*q^-9*x^10-1731*q^-8*x^10-2687*q^-7*x^10-4347*q^-6*x^10-6241*q^-5*x^10-8772*q^-4*x^10-10731*q^-3*x^10-12593*q^-2*x^10-13657*q^-1*x^10-16240*x^10-13657*q*x^10-12593*q^2*x^10-10731*q^3*x^10-8772*q^4*x^10-6241*q^5*x^10-4347*q^6*x^10-2687*q^7*x^10-1731*q^8*x^10-986*q^9*x^10-558*q^10*x^10-283*q^11*x^10-151*q^12*x^10-61*q^13*x^10-30*q^14*x^10-9*q^15*x^10-3*q^16*x^10 10 14 14 Yes 12
12a_1283 [1, -2, -2, -2, 1, 1, 1, 1, 1, -2, -2, -2] [1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1] -x^4-2*x^5+2*q^-1*x^6-3*x^6+q*x^6+4*q^-1*x^7-4*x^7+2*q*x^7-2*q^-3*x^8-q^-2*x^8+6*q^-1*x^8-7*x^8+3*q*x^8-4*q^-3*x^9-2*q^-2*x^9+8*q^-1*x^9-10*x^9+4*q*x^9+2*q^-6*x^10-q^-5*x^10+2*q^-4*x^10-6*q^-3*x^10-q^-2*x^10+11*q^-1*x^10-13*x^10+5*q*x^10-2*q^5*x^10 10 12 12 Yes 12
12a_1288 [-1, -1, -1, 2, 2, 2, -1, -1, -1, 2, 2, 2] [-1, -1, -1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, -1, -1] -x^4-2*x^5+2*q^-1*x^6-3*x^6+2*q*x^6+4*q^-1*x^7-5*x^7+4*q*x^7-2*q^-3*x^8-q^-2*x^8+6*q^-1*x^8-11*x^8+6*q*x^8-q^2*x^8-2*q^3*x^8-4*q^-3*x^9+10*q^-1*x^9-17*x^9+10*q*x^9-4*q^3*x^9+2*q^-6*x^10-q^-5*x^10+2*q^-4*x^10-6*q^-3*x^10+5*q^-2*x^10+16*q^-1*x^10-24*x^10+16*q*x^10+5*q^2*x^10-6*q^3*x^10+2*q^4*x^10-q^5*x^10+2*q^6*x^10 10 12 12 Yes 12
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