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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_847 [-1, 2, -3, 4, -1, -2, 4, 3, -2, 3, 3, 4, 4, 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+3*q^3*x^5-q^-1*x^6-22*x^6-48*q*x^6-84*q^2*x^6+21*q^3*x^6+7*q^4*x^6-3*q^-3*x^7-21*q^-2*x^7-67*q^-1*x^7-162*x^7-192*q*x^7-188*q^2*x^7+99*q^3*x^7+45*q^4*x^7+12*q^5*x^7+q^6*x^7-3*q^-6*x^8-11*q^-5*x^8-60*q^-4*x^8-119*q^-3*x^8-299*q^-2*x^8-500*q^-1*x^8-682*x^8-507*q*x^8-256*q^2*x^8+401*q^3*x^8+209*q^4*x^8+70*q^5*x^8+26*q^6*x^8-3*q^7*x^8+2*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^9-380*q^-5*x^9-765*q^-4*x^9-1182*q^-3*x^9-1844*q^-2*x^9-2113*q^-1*x^9-1887*x^9-713*q*x^9+266*q^2*x^9+1488*q^3*x^9+804*q^4*x^9+308*q^5*x^9+129*q^6*x^9+7*q^7*x^9-5*q^8*x^9-10*q^9*x^9+2*q^10*x^9+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^10-397*q^-9*x^10-813*q^-8*x^10-1440*q^-7*x^10-2444*q^-6*x^10-3586*q^-5*x^10-5203*q^-4*x^10-6315*q^-3*x^10-7085*q^-2*x^10-5660*q^-1*x^10-2786*x^10+1341*q*x^10+3650*q^2*x^10+5072*q^3*x^10+2747*q^4*x^10+1096*q^5*x^10+452*q^6*x^10+3*q^7*x^10-56*q^8*x^10-122*q^9*x^10-34*q^10*x^10-17*q^11*x^10+2*q^14*x^10 10 14 14 Yes 12
12n_848 [1, -2, 3, 3, 2, 1, 1, 1, 2, -3, -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, -1, 1] -q^2*x^3-4*q^2*x^4-10*q^2*x^5+2*q^3*x^5+2*x^6-18*q^2*x^6+8*q^3*x^6+7*q^-1*x^7+8*x^7+2*q*x^7-27*q^2*x^7+22*q^3*x^7-2*q^5*x^7-q^6*x^7+16*q^-2*x^8+28*q^-1*x^8+19*x^8+4*q*x^8-31*q^2*x^8+46*q^3*x^8-3*q^4*x^8-8*q^5*x^8-3*q^6*x^8-2*q^7*x^8-q^8*x^8-3*q^-5*x^9-q^-4*x^9+30*q^-3*x^9+62*q^-2*x^9+58*q^-1*x^9+20*x^9+8*q*x^9-26*q^2*x^9+82*q^3*x^9-13*q^4*x^9-20*q^5*x^9-8*q^6*x^9-11*q^7*x^9-5*q^8*x^9-q^9*x^9+q^10*x^9-10*q^-7*x^10-14*q^-6*x^10-16*q^-5*x^10+45*q^-4*x^10+110*q^-3*x^10+115*q^-2*x^10+44*q^-1*x^10-6*x^10+20*q*x^10+q^2*x^10+130*q^3*x^10-34*q^4*x^10-40*q^5*x^10-14*q^6*x^10-31*q^7*x^10-17*q^8*x^10-8*q^9*x^10+q^11*x^10+2*q^12*x^10+2*q^13*x^10 10 13 13 Yes 12
12n_850 [-1, 2, 2, 2, 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] -q^4*x^3+q^4*x^4-q^3*x^5-q^5*x^5+q*x^6+q^4*x^6+q^5*x^6+3*q^6*x^6-q^-2*x^7-q^2*x^7-q^3*x^7-q^4*x^7-q^5*x^7-3*q^6*x^7-4*q^7*x^7-q^8*x^7+q^-6*x^8+q^-1*x^8+x^8+q*x^8+q^2*x^8+q^3*x^8+2*q^4*x^8+3*q^5*x^8+3*q^6*x^8+5*q^7*x^8+7*q^8*x^8+3*q^9*x^8-q^-11*x^9-q^-5*x^9-q^-4*x^9-q^-3*x^9-q^-2*x^9-q^-1*x^9-x^9-2*q*x^9-2*q^2*x^9-4*q^3*x^9-3*q^4*x^9-4*q^5*x^9-6*q^6*x^9-6*q^7*x^9-8*q^8*x^9-14*q^9*x^9-8*q^10*x^9-2*q^11*x^9+q^-17*x^10+q^-10*x^10+q^-9*x^10+q^-8*x^10+q^-7*x^10+q^-6*x^10+q^-5*x^10+q^-4*x^10+2*q^-3*x^10+2*q^-2*x^10+3*q^-1*x^10+4*x^10+4*q*x^10+4*q^2*x^10+5*q^3*x^10+8*q^4*x^10+7*q^5*x^10+8*q^6*x^10+12*q^7*x^10+13*q^8*x^10+15*q^9*x^10+21*q^10*x^10+21*q^11*x^10+10*q^12*x^10+3*q^13*x^10 10 12 12 Yes 12
12a_850 [1, -2, 1, -2, -2, 1, 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^2*x^4-3*q^2*x^5+q*x^6-6*q^2*x^6+q^3*x^6+x^7+3*q*x^7-11*q^2*x^7+3*q^3*x^7-q^-1*x^8+3*x^8+5*q*x^8-19*q^2*x^8+5*q^3*x^8-q^-3*x^9-3*q^-2*x^9-3*q^-1*x^9+6*x^9+7*q*x^9-31*q^2*x^9+8*q^3*x^9-q^4*x^9-q^-5*x^10+q^-4*x^10-8*q^-3*x^10-9*q^-2*x^10-5*q^-1*x^10+13*x^10+9*q*x^10-46*q^2*x^10+11*q^3*x^10-2*q^4*x^10-q^5*x^10 10 12 12 Yes 12
12n_852 [1, -2, 3, -2, 3, -2, 3, 2, 1, -2, 3, -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, 1] -x^3-4*x^4+2*q^-1*x^5-10*x^5+2*q*x^5+2*q^-2*x^6+8*q^-1*x^6-20*x^6+8*q*x^6+2*q^2*x^6+7*q^-2*x^7+19*q^-1*x^7-39*x^7+21*q*x^7+8*q^2*x^7-2*q^3*x^7-q^4*x^7-2*q^-5*x^8+2*q^-4*x^8-3*q^-3*x^8+15*q^-2*x^8+33*q^-1*x^8-73*x^8+41*q*x^8+23*q^2*x^8-9*q^3*x^8-7*q^4*x^8-4*q^5*x^8-q^6*x^8-3*q^-7*x^9-q^-5*x^9+6*q^-4*x^9-12*q^-3*x^9+27*q^-2*x^9+49*q^-1*x^9-130*x^9+72*q*x^9+57*q^2*x^9-18*q^3*x^9-25*q^4*x^9-18*q^5*x^9-2*q^6*x^9-2*q^7*x^9+q^8*x^9-2*q^-9*x^10-3*q^-8*x^10-14*q^-7*x^10+18*q^-6*x^10+10*q^-5*x^10+11*q^-4*x^10-34*q^-3*x^10+50*q^-2*x^10+68*q^-1*x^10-217*x^10+121*q*x^10+133*q^2*x^10-21*q^3*x^10-56*q^4*x^10-53*q^5*x^10+2*q^6*x^10-q^7*x^10+7*q^8*x^10+4*q^9*x^10+3*q^10*x^10+2*q^11*x^10 10 13 13 Yes 12
12n_857 [1, -2, 1, 2, -3, 4, -3, -2, 4, -3, -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] -q^-1*x^3-5*q^-1*x^4+3*q^-2*x^5-15*q^-1*x^5-x^5+2*q^-3*x^6+15*q^-2*x^6-33*q^-1*x^6-5*x^6-q*x^6-2*q^-4*x^7+7*q^-3*x^7+49*q^-2*x^7-57*q^-1*x^7-14*x^7-5*q*x^7-q^3*x^7-3*q^-6*x^8+q^-5*x^8-13*q^-4*x^8+13*q^-3*x^8+121*q^-2*x^8-75*q^-1*x^8-26*x^8-18*q*x^8+2*q^2*x^8-3*q^3*x^8-2*q^4*x^8-2*q^5*x^8-4*q^-8*x^9-2*q^-7*x^9-9*q^-6*x^9+8*q^-5*x^9-51*q^-4*x^9+q^-3*x^9+247*q^-2*x^9-64*q^-1*x^9-30*x^9-49*q*x^9-q^2*x^9+3*q^3*x^9-3*q^4*x^9-13*q^5*x^9-5*q^6*x^9-3*q^7*x^9-q^8*x^9-q^-10*x^10-5*q^-9*x^10-30*q^-8*x^10-9*q^-7*x^10-9*q^-6*x^10+38*q^-5*x^10-142*q^-4*x^10-77*q^-3*x^10+418*q^-2*x^10+10*q^-1*x^10+11*x^10-112*q*x^10-42*q^2*x^10+8*q^3*x^10+30*q^4*x^10-26*q^5*x^10-25*q^6*x^10-23*q^7*x^10-14*q^8*x^10-6*q^9*x^10-2*q^10*x^10-2*q^11*x^10 10 14 14 Yes 12
12a_859 [1, -2, 1, -2, -2, 1, -2, -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] -q^-3*x^4-3*q^-3*x^5+2*q^-4*x^6-6*q^-3*x^6+q^-5*x^7+6*q^-4*x^7-10*q^-3*x^7+q^-1*x^7+2*q^-5*x^8+13*q^-4*x^8-15*q^-3*x^8-q^-2*x^8+3*q^-1*x^8+3*x^8-q^-8*x^9-q^-6*x^9+4*q^-5*x^9+23*q^-4*x^9-20*q^-3*x^9-5*q^-2*x^9+3*q^-1*x^9+9*x^9+6*q*x^9-q^-10*x^10-3*q^-8*x^10-q^-7*x^10-3*q^-6*x^10+6*q^-5*x^10+38*q^-4*x^10-24*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
12n_859 [1, -2, 1, 2, -3, 4, -2, 4, -3, -3, -2, 4, -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^3-5*x^4+q^-1*x^5-15*x^5-2*q^-2*x^6+5*q^-1*x^6-37*x^6-q^2*x^6-9*q^-3*x^7-10*q^-2*x^7+12*q^-1*x^7-80*x^7-4*q*x^7-4*q^2*x^7-4*q^3*x^7-q^4*x^7+q^-5*x^8-14*q^-4*x^8-44*q^-3*x^8-35*q^-2*x^8+22*q^-1*x^8-163*x^8-19*q*x^8-14*q^2*x^8-17*q^3*x^8-12*q^4*x^8-3*q^5*x^8-2*q^6*x^8+q^-7*x^9+2*q^-6*x^9-14*q^-5*x^9-67*q^-4*x^9-143*q^-3*x^9-95*q^-2*x^9+27*q^-1*x^9-315*x^9-69*q*x^9-39*q^2*x^9-47*q^3*x^9-46*q^4*x^9-24*q^5*x^9-12*q^6*x^9-5*q^7*x^9-3*q^8*x^9-q^9*x^9-8*q^-8*x^10-8*q^-7*x^10-20*q^-6*x^10-81*q^-5*x^10-226*q^-4*x^10-376*q^-3*x^10-237*q^-2*x^10+2*q^-1*x^10-600*x^10-209*q*x^10-117*q^2*x^10-109*q^3*x^10-127*q^4*x^10-93*q^5*x^10-52*q^6*x^10-23*q^7*x^10-20*q^8*x^10-11*q^9*x^10-6*q^10*x^10-2*q^11*x^10-2*q^12*x^10 10 14 14 Yes 12
12a_864 [1, -2, 1, -2, 1, 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^-1*x^4-4*q^-1*x^5+q^-2*x^6-10*q^-1*x^6+x^6+4*q^-2*x^7-21*q^-1*x^7+4*x^7+q*x^7+9*q^-2*x^8-40*q^-1*x^8+10*x^8+4*q*x^8+q^-5*x^9-q^-3*x^9+17*q^-2*x^9-70*q^-1*x^9+20*x^9+11*q*x^9+q^3*x^9-q^4*x^9+4*q^-5*x^10-3*q^-3*x^10+29*q^-2*x^10-114*q^-1*x^10+37*x^10+26*q*x^10+3*q^3*x^10-q^6*x^10 10 12 12 Yes 12
12n_864 [1, -2, -3, -3, 2, 2, -3, 1, 2, -3, 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, 1] -q*x^3-4*q*x^4+2*x^5-10*q*x^5+3*q^2*x^5+4*q^-1*x^6+8*x^6-20*q*x^6+12*q^2*x^6+3*q^3*x^6+2*q^-2*x^7+15*q^-1*x^7+16*x^7-41*q*x^7+31*q^2*x^7+10*q^3*x^7-q^4*x^7-q^5*x^7-5*q^-4*x^8-4*q^-3*x^8+4*q^-2*x^8+29*q^-1*x^8+13*x^8-86*q*x^8+59*q^2*x^8+23*q^3*x^8-9*q^4*x^8-4*q^5*x^8-5*q^6*x^8-q^7*x^8-7*q^-6*x^9-6*q^-5*x^9-32*q^-4*x^9-18*q^-3*x^9+5*q^-2*x^9+41*q^-1*x^9-24*x^9-170*q*x^9+102*q^2*x^9+46*q^3*x^9-30*q^4*x^9-13*q^5*x^9-19*q^6*x^9-4*q^7*x^9-3*q^8*x^9+q^9*x^9-3*q^-8*x^10-2*q^-7*x^10-21*q^-6*x^10-31*q^-5*x^10-86*q^-4*x^10-16*q^-3*x^10+38*q^-2*x^10+53*q^-1*x^10-106*x^10-296*q*x^10+190*q^2*x^10+105*q^3*x^10-65*q^4*x^10-28*q^5*x^10-43*q^6*x^10-4*q^7*x^10-13*q^8*x^10+6*q^9*x^10+4*q^10*x^10+3*q^11*x^10+2*q^12*x^10 10 13 13 Yes 12
12n_865 [1, -2, -3, -3, 2, 2, -3, 1, -3, -3, 2, -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] -q^-1*x^3-3*q^-1*x^4+3*q^-2*x^5-6*q^-1*x^5+2*x^5+q^-3*x^6+9*q^-2*x^6-11*q^-1*x^6+6*x^6+3*q*x^6-3*q^-4*x^7+16*q^-2*x^7-24*q^-1*x^7+8*x^7+9*q*x^7-q^3*x^7-q^-6*x^8-11*q^-4*x^8-2*q^-3*x^8+25*q^-2*x^8-49*q^-1*x^8+15*q*x^8+q^2*x^8-6*q^3*x^8-6*q^4*x^8-q^5*x^8-q^-8*x^9+4*q^-7*x^9-2*q^-6*x^9+7*q^-5*x^9-20*q^-4*x^9+6*q^-3*x^9+49*q^-2*x^9-76*q^-1*x^9-19*x^9+25*q*x^9+12*q^2*x^9-6*q^3*x^9-23*q^4*x^9-7*q^5*x^9-4*q^6*x^9+q^7*x^9+q^-9*x^10-2*q^-8*x^10+11*q^-7*x^10-q^-6*x^10+21*q^-5*x^10-29*q^-4*x^10+30*q^-3*x^10+106*q^-2*x^10-92*q^-1*x^10-41*x^10+39*q*x^10+53*q^2*x^10+32*q^3*x^10-31*q^4*x^10-21*q^5*x^10-13*q^6*x^10+7*q^7*x^10+6*q^8*x^10+4*q^9*x^10+2*q^10*x^10 10 13 13 Yes 12
12n_866 [1, -2, -2, -3, 2, 1, 2, 3, -2, 3, -2, 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] -x^3-4*x^4+3*q^-1*x^5-10*x^5+2*q*x^5+4*q^-2*x^6+12*q^-1*x^6-21*x^6+8*q*x^6+2*q^2*x^6+13*q^-2*x^7+28*q^-1*x^7-45*x^7+18*q*x^7+8*q^2*x^7-2*q^3*x^7-q^4*x^7-5*q^-5*x^8-2*q^-4*x^8-8*q^-3*x^8+29*q^-2*x^8+48*q^-1*x^8-96*x^8+28*q*x^8+22*q^2*x^8-8*q^3*x^8-7*q^4*x^8-4*q^5*x^8-q^6*x^8-6*q^-7*x^9-2*q^-6*x^9-18*q^-5*x^9-12*q^-4*x^9-24*q^-3*x^9+62*q^-2*x^9+74*q^-1*x^9-188*x^9+36*q*x^9+60*q^2*x^9-8*q^3*x^9-19*q^4*x^9-17*q^5*x^9-2*q^6*x^9-2*q^7*x^9+q^8*x^9-q^-9*x^10-20*q^-7*x^10+13*q^-6*x^10-38*q^-5*x^10-22*q^-4*x^10-35*q^-3*x^10+147*q^-2*x^10+120*q^-1*x^10-339*x^10+45*q*x^10+157*q^2*x^10+33*q^3*x^10-20*q^4*x^10-43*q^5*x^10+4*q^6*x^10-2*q^7*x^10+7*q^8*x^10+4*q^9*x^10+3*q^10*x^10+2*q^11*x^10 10 13 13 Yes 12
12a_867 [1, -2, -3, 4, 1, -2, -2, -3, 4, -3, 4, 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^4-36*x^5-2*q*x^5+5*q^-2*x^6-123*x^6-16*q*x^6-5*q^2*x^6+18*q^-3*x^7+40*q^-2*x^7+q^-1*x^7-354*x^7-73*q*x^7-39*q^2*x^7-13*q^3*x^7-4*q^4*x^7+42*q^-4*x^8+145*q^-3*x^8+201*q^-2*x^8+17*q^-1*x^8-886*x^8-253*q*x^8-166*q^2*x^8-99*q^3*x^8-60*q^4*x^8-16*q^5*x^8-10*q^6*x^8-7*q^-7*x^9-4*q^-6*x^9+78*q^-5*x^9+340*q^-4*x^9+729*q^-3*x^9+813*q^-2*x^9+174*q^-1*x^9-1958*x^9-670*q*x^9-512*q^2*x^9-408*q^3*x^9-363*q^4*x^9-180*q^5*x^9-114*q^6*x^9-42*q^7*x^9-22*q^8*x^9-6*q^9*x^9+q^-10*x^10-23*q^-9*x^10-36*q^-8*x^10-81*q^-7*x^10+81*q^-6*x^10+609*q^-5*x^10+1714*q^-4*x^10+2913*q^-3*x^10+2945*q^-2*x^10+1049*q^-1*x^10-3641*x^10-1287*q*x^10-1076*q^2*x^10-1143*q^3*x^10-1373*q^4*x^10-1008*q^5*x^10-735*q^6*x^10-392*q^7*x^10-273*q^8*x^10-140*q^9*x^10-66*q^10*x^10-24*q^11*x^10-14*q^12*x^10 10 14 14 Yes 12
12a_868 [-1, -4, -4, -3, 2, -3, 2, 1, 1, 4, 3, -2, 3, -2, 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, -1, -1, 1, 1] -x^3-9*x^4-3*q^-1*x^5-45*x^5-3*q*x^5-q^-3*x^6-4*q^-2*x^6-26*q^-1*x^6-181*x^6-26*q*x^6-4*q^2*x^6-q^3*x^6-3*q^-5*x^7-9*q^-4*x^7-6*q^-3*x^7-37*q^-2*x^7-169*q^-1*x^7-640*x^7-169*q*x^7-37*q^2*x^7-6*q^3*x^7-9*q^4*x^7-3*q^5*x^7-3*q^-8*x^8-9*q^-7*x^8-24*q^-6*x^8-42*q^-5*x^8-54*q^-4*x^8-46*q^-3*x^8-281*q^-2*x^8-857*q^-1*x^8-2158*x^8-857*q*x^8-281*q^2*x^8-46*q^3*x^8-54*q^4*x^8-42*q^5*x^8-24*q^6*x^8-9*q^7*x^8-3*q^8*x^8-q^-12*x^9-8*q^-11*x^9-17*q^-10*x^9-37*q^-9*x^9-78*q^-8*x^9-135*q^-7*x^9-239*q^-6*x^9-250*q^-5*x^9-268*q^-4*x^9-428*q^-3*x^9-1639*q^-2*x^9-3832*q^-1*x^9-7174*x^9-3832*q*x^9-1639*q^2*x^9-428*q^3*x^9-268*q^4*x^9-250*q^5*x^9-239*q^6*x^9-135*q^7*x^9-78*q^8*x^9-37*q^9*x^9-17*q^10*x^9-8*q^11*x^9-q^12*x^9-3*q^-16*x^10-9*q^-15*x^10-27*q^-14*x^10-48*q^-13*x^10-96*q^-12*x^10-172*q^-11*x^10-297*q^-10*x^10-491*q^-9*x^10-774*q^-8*x^10-1072*q^-7*x^10-1369*q^-6*x^10-1237*q^-5*x^10-1519*q^-4*x^10-2976*q^-3*x^10-8258*q^-2*x^10-15799*q^-1*x^10-24124*x^10-15799*q*x^10-8258*q^2*x^10-2976*q^3*x^10-1519*q^4*x^10-1237*q^5*x^10-1369*q^6*x^10-1072*q^7*x^10-774*q^8*x^10-491*q^9*x^10-297*q^10*x^10-172*q^11*x^10-96*q^12*x^10-48*q^13*x^10-27*q^14*x^10-9*q^15*x^10-3*q^16*x^10 10 16 16 Yes 12
12a_869 [1, -2, -2, -2, 1, -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+19*q^-3*x^8-39*q^-2*x^8-2*q^-1*x^8-q*x^8-8*q^-5*x^9-7*q^-4*x^9+38*q^-3*x^9-68*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^10-23*q^-5*x^10-20*q^-4*x^10+64*q^-3*x^10-109*q^-2*x^10-23*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
12n_870 [1, 4, 3, -2, 3, 2, -4, -3, 2, 1, -4, -3, -2, 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^2+q^-2*x^3-3*x^3-q^-5*x^4+3*q^-3*x^4+3*q^-2*x^4+q^-1*x^4-6*x^4-q*x^4+q^-9*x^5-3*q^-7*x^5-3*q^-6*x^5-4*q^-5*x^5+q^-4*x^5+9*q^-3*x^5+8*q^-2*x^5+4*q^-1*x^5-8*x^5-3*q*x^5-2*q^2*x^5-q^-14*x^6+3*q^-12*x^6+3*q^-11*x^6+4*q^-10*x^6+q^-9*x^6-4*q^-8*x^6-15*q^-7*x^6-13*q^-6*x^6-12*q^-5*x^6-q^-4*x^6+18*q^-3*x^6+19*q^-2*x^6+13*q^-1*x^6-6*x^6-3*q*x^6-6*q^2*x^6-3*q^3*x^6-q^4*x^6+q^-20*x^7-3*q^-18*x^7-3*q^-17*x^7-4*q^-16*x^7-q^-15*x^7+2*q^-14*x^7+11*q^-13*x^7+20*q^-12*x^7+19*q^-11*x^7+19*q^-10*x^7+2*q^-9*x^7-21*q^-8*x^7-42*q^-7*x^7-38*q^-6*x^7-40*q^-5*x^7-18*q^-4*x^7+25*q^-3*x^7+38*q^-2*x^7+32*q^-1*x^7+7*x^7+7*q*x^7-6*q^2*x^7-8*q^3*x^7-7*q^4*x^7-2*q^5*x^7-2*q^6*x^7-q^-27*x^8+3*q^-25*x^8+3*q^-24*x^8+4*q^-23*x^8+q^-22*x^8-2*q^-21*x^8-9*q^-20*x^8-16*q^-19*x^8-26*q^-18*x^8-26*q^-17*x^8-19*q^-16*x^8+3*q^-15*x^8+31*q^-14*x^8+56*q^-13*x^8+79*q^-12*x^8+81*q^-11*x^8+72*q^-10*x^8+11*q^-9*x^8-46*q^-8*x^8-95*q^-7*x^8-98*q^-6*x^8-113*q^-5*x^8-78*q^-4*x^8+5*q^-3*x^8+51*q^-2*x^8+61*q^-1*x^8+37*x^8+38*q*x^8+16*q^2*x^8-q^3*x^8-12*q^4*x^8-9*q^5*x^8-9*q^6*x^8-4*q^7*x^8-3*q^8*x^8-q^9*x^8+q^-35*x^9-3*q^-33*x^9-3*q^-32*x^9-4*q^-31*x^9-q^-30*x^9+2*q^-29*x^9+9*q^-28*x^9+14*q^-27*x^9+22*q^-26*x^9+33*q^-25*x^9+26*q^-24*x^9+13*q^-23*x^9-14*q^-22*x^9-46*q^-21*x^9-85*q^-20*x^9-113*q^-19*x^9-134*q^-18*x^9-120*q^-17*x^9-67*q^-16*x^9+25*q^-15*x^9+112*q^-14*x^9+185*q^-13*x^9+253*q^-12*x^9+274*q^-11*x^9+234*q^-10*x^9+94*q^-9*x^9-47*q^-8*x^9-167*q^-7*x^9-209*q^-6*x^9-265*q^-5*x^9-235*q^-4*x^9-109*q^-3*x^9+q^-2*x^9+63*q^-1*x^9+70*x^9+91*q*x^9+76*q^2*x^9+50*q^3*x^9+15*q^4*x^9-14*q^6*x^9-11*q^7*x^9-14*q^8*x^9-9*q^9*x^9-6*q^10*x^9-2*q^11*x^9-2*q^12*x^9-q^-44*x^10+3*q^-42*x^10+3*q^-41*x^10+4*q^-40*x^10+q^-39*x^10-2*q^-38*x^10-9*q^-37*x^10-14*q^-36*x^10-20*q^-35*x^10-29*q^-34*x^10-33*q^-33*x^10-20*q^-32*x^10-2*q^-31*x^10+29*q^-30*x^10+77*q^-29*x^10+120*q^-28*x^10+154*q^-27*x^10+175*q^-26*x^10+176*q^-25*x^10+103*q^-24*x^10+13*q^-23*x^10-127*q^-22*x^10-256*q^-21*x^10-396*q^-20*x^10-490*q^-19*x^10-529*q^-18*x^10-447*q^-17*x^10-246*q^-16*x^10+14*q^-15*x^10+249*q^-14*x^10+469*q^-13*x^10+677*q^-12*x^10+768*q^-11*x^10+715*q^-10*x^10+438*q^-9*x^10+129*q^-8*x^10-160*q^-7*x^10-316*q^-6*x^10-496*q^-5*x^10-542*q^-4*x^10-425*q^-3*x^10-254*q^-2*x^10-97*q^-1*x^10+9*x^10+103*q*x^10+141*q^2*x^10+150*q^3*x^10+119*q^4*x^10+79*q^5*x^10+35*q^6*x^10+15*q^7*x^10-9*q^8*x^10-16*q^9*x^10-21*q^10*x^10-15*q^11*x^10-15*q^12*x^10-7*q^13*x^10-4*q^14*x^10-3*q^15*x^10-q^16*x^10 10 14 14 Yes 12
12n_871 [1, -3, 4, -3, 2, 3, 1, 3, 2, 4, -3, 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, 1, -1, 1, -1] -q*x^2-3*q^-1*x^3-5*q*x^3-5*q^-5*x^4-3*q^-4*x^4-q^-3*x^4-3*q^-2*x^4-15*q^-1*x^4+x^4-15*q*x^4-2*q^2*x^4-7*q^-11*x^5-5*q^-10*x^5-8*q^-9*x^5-4*q^-8*x^5-8*q^-7*x^5-6*q^-6*x^5-29*q^-5*x^5-20*q^-4*x^5-3*q^-3*x^5-10*q^-2*x^5-43*q^-1*x^5-x^5-38*q*x^5-10*q^2*x^5-4*q^3*x^5-9*q^-19*x^6-7*q^-18*x^6-12*q^-17*x^6-15*q^-16*x^6-14*q^-15*x^6-17*q^-14*x^6-20*q^-13*x^6-18*q^-12*x^6-49*q^-11*x^6-45*q^-10*x^6-64*q^-9*x^6-35*q^-8*x^6-26*q^-7*x^6-16*q^-6*x^6-100*q^-5*x^6-63*q^-4*x^6-2*q^-3*x^6-17*q^-2*x^6-104*q^-1*x^6-21*x^6-91*q*x^6-38*q^2*x^6-25*q^3*x^6-6*q^4*x^6-2*q^5*x^6-11*q^-29*x^7-9*q^-28*x^7-16*q^-27*x^7-21*q^-26*x^7-31*q^-25*x^7-28*q^-24*x^7-42*q^-23*x^7-42*q^-22*x^7-51*q^-21*x^7-49*q^-20*x^7-94*q^-19*x^7-86*q^-18*x^7-128*q^-17*x^7-148*q^-16*x^7-140*q^-15*x^7-132*q^-14*x^7-104*q^-13*x^7-67*q^-12*x^7-170*q^-11*x^7-203*q^-10*x^7-255*q^-9*x^7-93*q^-8*x^7+2*q^-7*x^7-7*q^-6*x^7-235*q^-5*x^7-162*q^-4*x^7+8*q^-3*x^7-20*q^-2*x^7-225*q^-1*x^7-104*x^7-228*q*x^7-126*q^2*x^7-102*q^3*x^7-47*q^4*x^7-26*q^5*x^7-4*q^6*x^7-4*q^7*x^7-13*q^-41*x^8-11*q^-40*x^8-20*q^-39*x^8-27*q^-38*x^8-41*q^-37*x^8-51*q^-36*x^8-62*q^-35*x^8-75*q^-34*x^8-93*q^-33*x^8-105*q^-32*x^8-120*q^-31*x^8-127*q^-30*x^8-188*q^-29*x^8-191*q^-28*x^8-242*q^-27*x^8-290*q^-26*x^8-370*q^-25*x^8-363*q^-24*x^8-419*q^-23*x^8-401*q^-22*x^8-374*q^-21*x^8-317*q^-20*x^8-418*q^-19*x^8-405*q^-18*x^8-591*q^-17*x^8-676*q^-16*x^8-637*q^-15*x^8-423*q^-14*x^8-147*q^-13*x^8+22*q^-12*x^8-365*q^-11*x^8-625*q^-10*x^8-682*q^-9*x^8-88*q^-8*x^8+237*q^-7*x^8+161*q^-6*x^8-438*q^-5*x^8-360*q^-4*x^8+2*q^-3*x^8-7*q^-2*x^8-447*q^-1*x^8-346*x^8-599*q*x^8-409*q^2*x^8-357*q^3*x^8-226*q^4*x^8-152*q^5*x^8-58*q^6*x^8-42*q^7*x^8-12*q^8*x^8-6*q^9*x^8-2*q^10*x^8-15*q^-55*x^9-13*q^-54*x^9-24*q^-53*x^9-33*q^-52*x^9-51*q^-51*x^9-65*q^-50*x^9-95*q^-49*x^9-104*q^-48*x^9-143*q^-47*x^9-167*q^-46*x^9-207*q^-45*x^9-231*q^-44*x^9-280*q^-43*x^9-296*q^-42*x^9-396*q^-41*x^9-416*q^-40*x^9-507*q^-39*x^9-573*q^-38*x^9-715*q^-37*x^9-816*q^-36*x^9-934*q^-35*x^9-1020*q^-34*x^9-1136*q^-33*x^9-1172*q^-32*x^9-1180*q^-31*x^9-1136*q^-30*x^9-1268*q^-29*x^9-1229*q^-28*x^9-1377*q^-27*x^9-1577*q^-26*x^9-1878*q^-25*x^9-1878*q^-24*x^9-1988*q^-23*x^9-1679*q^-22*x^9-1220*q^-21*x^9-674*q^-20*x^9-705*q^-19*x^9-861*q^-18*x^9-1704*q^-17*x^9-2190*q^-16*x^9-1833*q^-15*x^9-610*q^-14*x^9+657*q^-13*x^9+979*q^-12*x^9-439*q^-11*x^9-1494*q^-10*x^9-1474*q^-9*x^9+157*q^-8*x^9+1188*q^-7*x^9+959*q^-6*x^9-482*q^-5*x^9-674*q^-4*x^9-78*q^-3*x^9+4*q^-2*x^9-813*q^-1*x^9-919*x^9-1540*q*x^9-1289*q^2*x^9-1179*q^3*x^9-876*q^4*x^9-682*q^5*x^9-383*q^6*x^9-270*q^7*x^9-126*q^8*x^9-79*q^9*x^9-38*q^10*x^9-20*q^11*x^9-4*q^12*x^9-4*q^13*x^9-17*q^-71*x^10-15*q^-70*x^10-28*q^-69*x^10-39*q^-68*x^10-61*q^-67*x^10-79*q^-66*x^10-117*q^-65*x^10-147*q^-64*x^10-187*q^-63*x^10-236*q^-62*x^10-297*q^-61*x^10-353*q^-60*x^10-435*q^-59*x^10-502*q^-58*x^10-587*q^-57*x^10-666*q^-56*x^10-820*q^-55*x^10-897*q^-54*x^10-1056*q^-53*x^10-1196*q^-52*x^10-1405*q^-51*x^10-1613*q^-50*x^10-1920*q^-49*x^10-2105*q^-48*x^10-2444*q^-47*x^10-2695*q^-46*x^10-2998*q^-45*x^10-3192*q^-44*x^10-3397*q^-43*x^10-3448*q^-42*x^10-3764*q^-41*x^10-3792*q^-40*x^10-4012*q^-39*x^10-4201*q^-38*x^10-4726*q^-37*x^10-5084*q^-36*x^10-5537*q^-35*x^10-5793*q^-34*x^10-6105*q^-33*x^10-5862*q^-32*x^10-5370*q^-31*x^10-4514*q^-30*x^10-4063*q^-29*x^10-3321*q^-28*x^10-3476*q^-27*x^10-4246*q^-26*x^10-5611*q^-25*x^10-6164*q^-24*x^10-6180*q^-23*x^10-4188*q^-22*x^10-1196*q^-21*x^10+1652*q^-20*x^10+1757*q^-19*x^10-108*q^-18*x^10-4024*q^-17*x^10-5944*q^-16*x^10-4114*q^-15*x^10+747*q^-14*x^10+4853*q^-13*x^10+5043*q^-12*x^10+659*q^-11*x^10-2780*q^-10*x^10-2859*q^-9*x^10+1191*q^-8*x^10+4200*q^-7*x^10+4079*q^-6*x^10+851*q^-5*x^10-504*q^-4*x^10-128*q^-3*x^10+20*q^-2*x^10-1406*q^-1*x^10-2060*x^10-3704*q*x^10-3736*q^2*x^10-3696*q^3*x^10-3074*q^4*x^10-2614*q^5*x^10-1819*q^6*x^10-1374*q^7*x^10-829*q^8*x^10-562*q^9*x^10-336*q^10*x^10-214*q^11*x^10-98*q^12*x^10-70*q^13*x^10-30*q^14*x^10-12*q^15*x^10-6*q^16*x^10-2*q^17*x^10 10 14 14 Yes 12
12n_872 [1, 4, -3, -2, 4, -3, -3, -2, 4, -3, -3, 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, 1, -1, 1, 1] -q^-1*x^3-5*q^-1*x^4+2*q^-2*x^5-15*q^-1*x^5-x^5+10*q^-2*x^6-35*q^-1*x^6-5*x^6-q*x^6-3*q^-4*x^7-q^-3*x^7+30*q^-2*x^7-68*q^-1*x^7-18*x^7-5*q*x^7-q^3*x^7+q^-5*x^8-15*q^-4*x^8-9*q^-3*x^8+70*q^-2*x^8-118*q^-1*x^8-48*x^8-25*q*x^8+q^2*x^8-3*q^3*x^8-2*q^4*x^8-2*q^5*x^8+2*q^-7*x^9+4*q^-6*x^9+10*q^-5*x^9-49*q^-4*x^9-39*q^-3*x^9+135*q^-2*x^9-183*q^-1*x^9-114*x^9-88*q*x^9-16*q^2*x^9-q^3*x^9-5*q^4*x^9-13*q^5*x^9-5*q^6*x^9-3*q^7*x^9-q^8*x^9-2*q^-9*x^10-6*q^-8*x^10+13*q^-7*x^10+30*q^-6*x^10+45*q^-5*x^10-119*q^-4*x^10-126*q^-3*x^10+224*q^-2*x^10-257*q^-1*x^10-223*x^10-261*q*x^10-112*q^2*x^10-26*q^3*x^10+11*q^4*x^10-35*q^5*x^10-29*q^6*x^10-24*q^7*x^10-14*q^8*x^10-6*q^9*x^10-2*q^10*x^10-2*q^11*x^10 10 14 14 Yes 12
12n_873 [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^3-4*x^4-10*x^5-2*q^-2*x^6-22*x^6-2*q^2*x^6-5*q^-3*x^7-8*q^-2*x^7-2*q^-1*x^7-43*x^7-2*q*x^7-8*q^2*x^7-5*q^3*x^7-8*q^-4*x^8-20*q^-3*x^8-22*q^-2*x^8-8*q^-1*x^8-81*x^8-8*q*x^8-22*q^2*x^8-20*q^3*x^8-8*q^4*x^8-3*q^-6*x^9-11*q^-5*x^9-34*q^-4*x^9-56*q^-3*x^9-50*q^-2*x^9-28*q^-1*x^9-151*x^9-28*q*x^9-50*q^2*x^9-56*q^3*x^9-34*q^4*x^9-11*q^5*x^9-3*q^6*x^9-6*q^-8*x^10-10*q^-7*x^10-28*q^-6*x^10-52*q^-5*x^10-102*q^-4*x^10-132*q^-3*x^10-114*q^-2*x^10-88*q^-1*x^10-288*x^10-88*q*x^10-114*q^2*x^10-132*q^3*x^10-102*q^4*x^10-52*q^5*x^10-28*q^6*x^10-10*q^7*x^10-6*q^8*x^10 10 12 12 Yes 12
12n_874 [1, 2, 3, -2, 3, -2, 1, -2, 1, 3, -2, 1, -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] -q*x^3-4*q*x^4+2*x^5-10*q*x^5+2*q^2*x^5+4*q^-1*x^6+8*x^6-20*q*x^6+8*q^2*x^6+2*q^-2*x^7+15*q^-1*x^7+17*x^7-39*q*x^7+21*q^2*x^7-4*q^4*x^7-q^5*x^7-5*q^-4*x^8-4*q^-3*x^8+4*q^-2*x^8+31*q^-1*x^8+21*x^8-73*q*x^8+45*q^2*x^8+q^3*x^8-15*q^4*x^8-5*q^5*x^8-2*q^6*x^8-q^7*x^8-7*q^-6*x^9-6*q^-5*x^9-32*q^-4*x^9-19*q^-3*x^9+6*q^-2*x^9+50*q^-1*x^9+8*x^9-124*q*x^9+94*q^2*x^9+13*q^3*x^9-35*q^4*x^9-10*q^5*x^9-8*q^6*x^9-3*q^7*x^9-q^8*x^9+q^9*x^9-3*q^-8*x^10-2*q^-7*x^10-21*q^-6*x^10-33*q^-5*x^10-91*q^-4*x^10-27*q^-3*x^10+28*q^-2*x^10+70*q^-1*x^10-31*x^10-186*q*x^10+198*q^2*x^10+54*q^3*x^10-62*q^4*x^10-12*q^5*x^10-10*q^6*x^10-7*q^7*x^10-11*q^8*x^10-q^9*x^10+q^10*x^10+2*q^11*x^10+2*q^12*x^10 10 13 13 Yes 12
12n_875 [1, -2, 1, 2, 3, -2, -2, 3, 3, 3, -2, -2, 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] -q*x^3-3*q*x^4+2*x^5-6*q*x^5+3*q^2*x^5+2*q^-1*x^6+6*x^6-11*q*x^6+9*q^2*x^6+2*q^3*x^6-2*q^-2*x^7+5*q^-1*x^7+8*x^7-24*q*x^7+17*q^2*x^7+4*q^3*x^7-2*q^4*x^7-q^5*x^7-2*q^-4*x^8-5*q^-3*x^8-8*q^-2*x^8+7*q^-1*x^8+4*x^8-49*q*x^8+26*q^2*x^8+8*q^3*x^8-8*q^4*x^8-3*q^5*x^8-4*q^6*x^8-q^7*x^8-2*q^-6*x^9+4*q^-5*x^9-11*q^-4*x^9-12*q^-3*x^9-11*q^-2*x^9+20*q^-1*x^9-4*x^9-79*q*x^9+46*q^2*x^9+23*q^3*x^9-13*q^4*x^9-q^5*x^9-11*q^6*x^9-2*q^7*x^9-2*q^8*x^9+q^9*x^9+4*q^-7*x^10+8*q^-6*x^10+14*q^-5*x^10-23*q^-4*x^10-7*q^-3*x^10+14*q^-2*x^10+55*q^-1*x^10-6*x^10-111*q*x^10+88*q^2*x^10+60*q^3*x^10-12*q^4*x^10+11*q^5*x^10-17*q^6*x^10-2*q^7*x^10-8*q^8*x^10+5*q^9*x^10+4*q^10*x^10+3*q^11*x^10+2*q^12*x^10 10 13 13 Yes 12
12n_877 [-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] -q^-1*x^3-6*q^-1*x^4-q^-2*x^5-21*q^-1*x^5-4*q^-3*x^6-6*q^-2*x^6-58*q^-1*x^6+2*q*x^6-q^-5*x^7-8*q^-4*x^7-24*q^-3*x^7-21*q^-2*x^7-138*q^-1*x^7-4*x^7+12*q*x^7+5*q^2*x^7-2*q^-7*x^8-2*q^-6*x^8-18*q^-5*x^8-50*q^-4*x^8-85*q^-3*x^8-58*q^-2*x^8-294*q^-1*x^8-22*x^8+36*q*x^8+30*q^2*x^8+6*q^3*x^8-q^-10*x^9-3*q^-9*x^9-4*q^-8*x^9-18*q^-7*x^9-28*q^-6*x^9-104*q^-5*x^9-188*q^-4*x^9-234*q^-3*x^9-132*q^-2*x^9-575*q^-1*x^9-76*x^9+83*q*x^9+99*q^2*x^9+37*q^3*x^9-q^4*x^9-2*q^6*x^9-2*q^-13*x^10-2*q^-12*x^10-6*q^-11*x^10-12*q^-10*x^10-30*q^-9*x^10-38*q^-8*x^10-102*q^-7*x^10-165*q^-6*x^10-388*q^-5*x^10-552*q^-4*x^10-549*q^-3*x^10-252*q^-2*x^10-1038*q^-1*x^10-208*x^10+144*q*x^10+260*q^2*x^10+128*q^3*x^10-2*q^4*x^10-24*q^5*x^10-10*q^6*x^10-4*q^7*x^10-6*q^8*x^10 10 12 12 Yes 12
12a_878 [1, -2, -2, 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] -q^-1*x^4-2*q^-1*x^5+2*q^-2*x^6-3*q^-1*x^6+x^6+q^-3*x^7+4*q^-2*x^7-4*q^-1*x^7+2*x^7+q^-3*x^8+6*q^-2*x^8-7*q^-1*x^8+3*x^8-q^-6*x^9-q^-4*x^9+q^-3*x^9+7*q^-2*x^9-10*q^-1*x^9+4*x^9+2*q^3*x^9-q^-8*x^10-3*q^-6*x^10-2*q^-4*x^10+q^-3*x^10+9*q^-2*x^10-13*q^-1*x^10+5*x^10-q^2*x^10+4*q^3*x^10+2*q^4*x^10 10 12 12 Yes 12
12n_878 [-1, 4, 4, 3, -2, 3, 2, 2, -1, -4, 3, -2, -3, -3, 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, -1, 1, 1, 1, 1, 1, -1] -q*x^2-10*q*x^3-16*x^4-55*q*x^4-5*q^2*x^4-4*q^-2*x^5-69*q^-1*x^5-156*x^5-254*q*x^5-50*q^2*x^5-10*q^3*x^5-15*q^-4*x^6-96*q^-3*x^6-317*q^-2*x^6-745*q^-1*x^6-1039*x^6-1120*q*x^6-362*q^2*x^6-106*q^3*x^6-16*q^4*x^6-9*q^5*x^6-18*q^-7*x^7-77*q^-6*x^7-364*q^-5*x^7-854*q^-4*x^7-2047*q^-3*x^7-3668*q^-2*x^7-5445*q^-1*x^7-5875*x^7-5093*q*x^7-2198*q^2*x^7-829*q^3*x^7-222*q^4*x^7-102*q^5*x^7-38*q^6*x^7-25*q^7*x^7-q^8*x^7-7*q^-11*x^8-61*q^-10*x^8-206*q^-9*x^8-662*q^-8*x^8-1751*q^-7*x^8-3804*q^-6*x^8-7718*q^-5*x^8-13336*q^-4*x^8-21341*q^-3*x^8-28797*q^-2*x^8-33439*q^-1*x^8-31221*x^8-24087*q*x^8-12399*q^2*x^8-5526*q^3*x^8-2038*q^4*x^8-960*q^5*x^8-496*q^6*x^8-339*q^7*x^8-132*q^8*x^8-68*q^9*x^8-21*q^10*x^8-3*q^11*x^8-24*q^-15*x^9-90*q^-14*x^9-345*q^-13*x^9-899*q^-12*x^9-2422*q^-11*x^9-5243*q^-10*x^9-11032*q^-9*x^9-20878*q^-8*x^9-37294*q^-7*x^9-60575*q^-6*x^9-93050*q^-5*x^9-129489*q^-4*x^9-166237*q^-3*x^9-188388*q^-2*x^9-189138*q^-1*x^9-161501*x^9-118081*q*x^9-67464*q^2*x^9-34076*q^3*x^9-15422*q^4*x^9-7955*q^5*x^9-4665*q^6*x^9-3267*q^7*x^9-1906*q^8*x^9-1133*q^9*x^9-560*q^10*x^9-260*q^11*x^9-105*q^12*x^9-55*q^13*x^9-10*q^14*x^9-3*q^15*x^9-27*q^-20*x^10-102*q^-19*x^10-359*q^-18*x^10-994*q^-17*x^10-2420*q^-16*x^10-5556*q^-15*x^10-11806*q^-14*x^10-23329*q^-13*x^10-43508*q^-12*x^10-77888*q^-11*x^10-130728*q^-10*x^10-210905*q^-9*x^10-321663*q^-8*x^10-467364*q^-7*x^10-639165*q^-6*x^10-827003*q^-5*x^10-992970*q^-4*x^10-1106156*q^-3*x^10-1118958*q^-2*x^10-1023833*q^-1*x^10-828603*x^10-592956*q*x^10-362546*q^2*x^10-201556*q^3*x^10-105506*q^4*x^10-59834*q^5*x^10-38083*q^6*x^10-27420*q^7*x^10-18704*q^8*x^10-12511*q^9*x^10-7580*q^10*x^10-4396*q^11*x^10-2392*q^12*x^10-1323*q^13*x^10-609*q^14*x^10-311*q^15*x^10-155*q^16*x^10-61*q^17*x^10-19*q^18*x^10-8*q^19*x^10-q^20*x^10 10 16 16 Yes 12
12n_879 [-1, 2, -3, -1, 2, -3, 2, -3, -3, -2, -2, 3, 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] -q^-1*x^3-5*q^-1*x^4+2*q^-2*x^5-15*q^-1*x^5+2*q^-3*x^6+10*q^-2*x^6-35*q^-1*x^6-q^-5*x^7-q^-4*x^7+10*q^-3*x^7+33*q^-2*x^7-70*q^-1*x^7-x^7-2*q^2*x^7-q^-7*x^8-4*q^-6*x^8-5*q^-5*x^8-7*q^-4*x^8+31*q^-3*x^8+87*q^-2*x^8-122*q^-1*x^8-5*x^8-q*x^8-10*q^2*x^8-9*q^3*x^8+q^-9*x^9-2*q^-8*x^9-5*q^-7*x^9-20*q^-6*x^9-25*q^-5*x^9-32*q^-4*x^9+76*q^-3*x^9+202*q^-2*x^9-185*q^-1*x^9-11*x^9-q*x^9-28*q^2*x^9-45*q^3*x^9-25*q^4*x^9+2*q^-12*x^10+3*q^-11*x^10+4*q^-10*x^10+7*q^-9*x^10-10*q^-8*x^10-16*q^-7*x^10-72*q^-6*x^10-100*q^-5*x^10-116*q^-4*x^10+154*q^-3*x^10+430*q^-2*x^10-232*q^-1*x^10-3*x^10+14*q*x^10-42*q^2*x^10-125*q^3*x^10-127*q^4*x^10-55*q^5*x^10 10 13 13 Yes 12
12n_882 [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^-3*x^3-4*q^-3*x^4-q^-1*x^4+2*q^-4*x^5-10*q^-3*x^5-4*q^-1*x^5-4*x^5-q^3*x^5+2*q^-5*x^6+8*q^-4*x^6-21*q^-3*x^6+2*q^-2*x^6-8*q^-1*x^6-16*x^6-10*q*x^6-4*q^3*x^6-4*q^4*x^6-4*q^5*x^6-q^9*x^6+7*q^-5*x^7+21*q^-4*x^7-37*q^-3*x^7+8*q^-2*x^7-4*q^-1*x^7-34*x^7-41*q*x^7-18*q^2*x^7-8*q^3*x^7-14*q^4*x^7-26*q^5*x^7-16*q^6*x^7-10*q^7*x^7-4*q^9*x^7-4*q^10*x^7-4*q^11*x^7-4*q^12*x^7-q^17*x^7-2*q^-8*x^8-2*q^-6*x^8+17*q^-5*x^8+46*q^-4*x^8-59*q^-3*x^8+24*q^-2*x^8+23*q^-1*x^8-35*x^8-90*q*x^8-76*q^2*x^8-39*q^3*x^8-16*q^4*x^8-66*q^5*x^8-78*q^6*x^8-81*q^7*x^8-38*q^8*x^8-28*q^9*x^8-14*q^10*x^8-24*q^11*x^8-32*q^12*x^8-26*q^13*x^8-16*q^14*x^8-10*q^15*x^8-4*q^17*x^8-4*q^18*x^8-4*q^19*x^8-4*q^20*x^8-4*q^21*x^8-q^27*x^8-2*q^-10*x^9-8*q^-8*x^9-3*q^-7*x^9-12*q^-6*x^9+34*q^-5*x^9+86*q^-4*x^9-91*q^-3*x^9+50*q^-2*x^9+97*q^-1*x^9+28*x^9-109*q*x^9-172*q^2*x^9-130*q^3*x^9-29*q^4*x^9-66*q^5*x^9-151*q^6*x^9-261*q^7*x^9-224*q^8*x^9-188*q^9*x^9-96*q^10*x^9-83*q^11*x^9-102*q^12*x^9-130*q^13*x^9-138*q^14*x^9-125*q^15*x^9-78*q^16*x^9-48*q^17*x^9-34*q^18*x^9-24*q^19*x^9-30*q^20*x^9-42*q^21*x^9-32*q^22*x^9-26*q^23*x^9-16*q^24*x^9-10*q^25*x^9-4*q^27*x^9-4*q^28*x^9-4*q^29*x^9-4*q^30*x^9-4*q^31*x^9-4*q^32*x^9-q^39*x^9-8*q^-10*x^10-26*q^-8*x^10-16*q^-7*x^10-40*q^-6*x^10+49*q^-5*x^10+139*q^-4*x^10-153*q^-3*x^10+64*q^-2*x^10+226*q^-1*x^10+220*x^10+7*q*x^10-224*q^2*x^10-287*q^3*x^10-94*q^4*x^10+9*q^5*x^10-40*q^6*x^10-391*q^7*x^10-566*q^8*x^10-678*q^9*x^10-492*q^10*x^10-360*q^11*x^10-265*q^12*x^10-321*q^13*x^10-415*q^14*x^10-538*q^15*x^10-520*q^16*x^10-451*q^17*x^10-340*q^18*x^10-228*q^19*x^10-164*q^20*x^10-189*q^21*x^10-186*q^22*x^10-214*q^23*x^10-202*q^24*x^10-185*q^25*x^10-122*q^26*x^10-88*q^27*x^10-54*q^28*x^10-44*q^29*x^10-30*q^30*x^10-40*q^31*x^10-48*q^32*x^10-42*q^33*x^10-32*q^34*x^10-26*q^35*x^10-16*q^36*x^10-10*q^37*x^10-4*q^39*x^10-4*q^40*x^10-4*q^41*x^10-4*q^42*x^10-4*q^43*x^10-4*q^44*x^10-4*q^45*x^10-q^53*x^10 10 12 12 Yes 12
12a_884 [-1, -2, 3, -2, 3, -2, 1, 1, 2, -3, -4, 2, 3, -4, 2, 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, 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^6-124*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^7-106*q^-1*x^7-188*x^7-350*q*x^7+82*q^2*x^7+62*q^3*x^7+16*q^4*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^8-175*q^-3*x^8-278*q^-2*x^8-531*q^-1*x^8-669*x^8-820*q*x^8+365*q^2*x^8+320*q^3*x^8+119*q^4*x^8+28*q^5*x^8-3*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^9-250*q^-6*x^9-493*q^-5*x^9-682*q^-4*x^9-1038*q^-3*x^9-1369*q^-2*x^9-1959*q^-1*x^9-1852*x^9-1454*q*x^9+1518*q^2*x^9+1357*q^3*x^9+597*q^4*x^9+170*q^5*x^9-9*q^6*x^9-6*q^7*x^9-11*q^8*x^9+2*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^10-279*q^-10*x^10-537*q^-9*x^10-929*q^-8*x^10-1539*q^-7*x^10-2181*q^-6*x^10-3088*q^-5*x^10-3478*q^-4*x^10-4368*q^-3*x^10-4945*q^-2*x^10-5585*q^-1*x^10-3685*x^10-872*q*x^10+5927*q^2*x^10+5108*q^3*x^10+2404*q^4*x^10+689*q^5*x^10-100*q^6*x^10-123*q^7*x^10-144*q^8*x^10-36*q^9*x^10-20*q^10*x^10+2*q^13*x^10 10 16 16 Yes 12
12a_885 [-1, 2, 3, -4, -1, 2, 2, 2, 3, -4, 3, -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+q^2*x^5-q^-2*x^6-13*q^-1*x^6-39*x^6-126*q*x^6+8*q^2*x^6+4*q^3*x^6-3*q^-4*x^7-15*q^-3*x^7-36*q^-2*x^7-106*q^-1*x^7-193*x^7-371*q*x^7+33*q^2*x^7+32*q^3*x^7+9*q^4*x^7-3*q^-7*x^8-10*q^-6*x^8-42*q^-5*x^8-79*q^-4*x^8-175*q^-3*x^8-281*q^-2*x^8-545*q^-1*x^8-730*x^8-972*q*x^8+124*q^2*x^8+152*q^3*x^8+68*q^4*x^8+20*q^5*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^9-250*q^-6*x^9-494*q^-5*x^9-691*q^-4*x^9-1061*q^-3*x^9-1440*q^-2*x^9-2157*q^-1*x^9-2333*x^9-2296*q*x^9+446*q^2*x^9+605*q^3*x^9+330*q^4*x^9+147*q^5*x^9+39*q^6*x^9+7*q^7*x^9-3*q^8*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^10-279*q^-10*x^10-537*q^-9*x^10-932*q^-8*x^10-1551*q^-7*x^10-2218*q^-6*x^10-3173*q^-5*x^10-3677*q^-4*x^10-4765*q^-3*x^10-5775*q^-2*x^10-7222*q^-1*x^10-6541*x^10-4889*q*x^10+1617*q^2*x^10+2146*q^3*x^10+1347*q^4*x^10+721*q^5*x^10+313*q^6*x^10+131*q^7*x^10-4*q^8*x^10-6*q^9*x^10-11*q^10*x^10+q^11*x^10 10 14 14 Yes 12
12a_886 [-1, 2, 2, 3, -4, -2, -1, -4, -4, -3, 2, -3, 2, -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^-1*x^3-6*q^-1*x^4-q^-2*x^5-21*q^-1*x^5+4*x^5-4*q^-3*x^6-6*q^-2*x^6-52*q^-1*x^6+24*x^6+11*q*x^6-2*q^-5*x^7-8*q^-4*x^7-23*q^-3*x^7-12*q^-2*x^7-98*q^-1*x^7+99*x^7+60*q*x^7+10*q^2*x^7-4*q^-7*x^8-4*q^-6*x^8-22*q^-5*x^8-44*q^-4*x^8-58*q^-3*x^8+14*q^-2*x^8-111*q^-1*x^8+309*x^8+210*q*x^8+33*q^2*x^8-13*q^3*x^8-17*q^4*x^8-2*q^-10*x^9-6*q^-9*x^9-8*q^-8*x^9-28*q^-7*x^9-28*q^-6*x^9-92*q^-5*x^9-99*q^-4*x^9-30*q^-3*x^9+224*q^-2*x^9+47*q^-1*x^9+811*x^9+514*q*x^9+q^2*x^9-160*q^3*x^9-155*q^4*x^9-41*q^5*x^9-28*q^6*x^9-4*q^-13*x^10-4*q^-12*x^10-12*q^-11*x^10-24*q^-10*x^10-44*q^-9*x^10-38*q^-8*x^10-90*q^-7*x^10-76*q^-6*x^10-150*q^-5*x^10+28*q^-4*x^10+410*q^-3*x^10+1003*q^-2*x^10+643*q^-1*x^10+1696*x^10+819*q*x^10-521*q^2*x^10-933*q^3*x^10-839*q^4*x^10-324*q^5*x^10-157*q^6*x^10-29*q^7*x^10-18*q^8*x^10 10 14 14 Yes 12
12n_887 [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] -q^2*x^3-5*q^2*x^4+q^-1*x^5-15*q^2*x^5+5*q^-2*x^6+5*q^-1*x^6-39*q^2*x^6-q^-7*x^7+15*q^-3*x^7+25*q^-2*x^7+15*q^-1*x^7-5*q*x^7-90*q^2*x^7-5*q^3*x^7-5*q^-9*x^8-5*q^-8*x^8-5*q^-7*x^8+35*q^-4*x^8+79*q^-3*x^8+80*q^-2*x^8+35*q^-1*x^8-5*x^8-25*q*x^8-196*q^2*x^8-25*q^3*x^8-5*q^4*x^8+q^-16*x^9-15*q^-11*x^9-25*q^-10*x^9-40*q^-9*x^9-25*q^-8*x^9-15*q^-7*x^9+75*q^-5*x^9+200*q^-4*x^9+270*q^-3*x^9+205*q^-2*x^9+70*q^-1*x^9-25*x^9-90*q*x^9-410*q^2*x^9-90*q^3*x^9-25*q^4*x^9-5*q^5*x^9+5*q^-19*x^10+5*q^-18*x^10+5*q^-17*x^10+5*q^-16*x^10-35*q^-13*x^10-75*q^-12*x^10-154*q^-11*x^10-165*q^-10*x^10-155*q^-9*x^10-75*q^-8*x^10-30*q^-7*x^10+156*q^-6*x^10+460*q^-5*x^10+735*q^-4*x^10+745*q^-3*x^10+470*q^-2*x^10+131*q^-1*x^10-95*x^10-270*q*x^10-840*q^2*x^10-270*q^3*x^10-100*q^4*x^10-25*q^5*x^10-5*q^6*x^10 10 12 12 Yes 12
12a_887 [-1, 4, 3, -2, 3, -2, 3, -2, 3, -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^3-8*x^4-2*q^-1*x^5-36*x^5-2*q*x^5-5*q^-2*x^6-16*q^-1*x^6-125*x^6-16*q*x^6-5*q^2*x^6-4*q^-4*x^7-13*q^-3*x^7-39*q^-2*x^7-81*q^-1*x^7-374*x^7-81*q*x^7-39*q^2*x^7-13*q^3*x^7-4*q^4*x^7-10*q^-6*x^8-16*q^-5*x^8-60*q^-4*x^8-103*q^-3*x^8-191*q^-2*x^8-327*q^-1*x^8-1025*x^8-327*q*x^8-191*q^2*x^8-103*q^3*x^8-60*q^4*x^8-16*q^5*x^8-10*q^6*x^8-6*q^-9*x^9-22*q^-8*x^9-42*q^-7*x^9-114*q^-6*x^9-190*q^-5*x^9-385*q^-4*x^9-507*q^-3*x^9-764*q^-2*x^9-1153*q^-1*x^9-2682*x^9-1153*q*x^9-764*q^2*x^9-507*q^3*x^9-385*q^4*x^9-190*q^5*x^9-114*q^6*x^9-42*q^7*x^9-22*q^8*x^9-6*q^9*x^9-14*q^-12*x^10-24*q^-11*x^10-66*q^-10*x^10-140*q^-9*x^10-279*q^-8*x^10-419*q^-7*x^10-796*q^-6*x^10-1169*q^-5*x^10-1761*q^-4*x^10-2038*q^-3*x^10-2724*q^-2*x^10-3762*q^-1*x^10-6904*x^10-3762*q*x^10-2724*q^2*x^10-2038*q^3*x^10-1761*q^4*x^10-1169*q^5*x^10-796*q^6*x^10-419*q^7*x^10-279*q^8*x^10-140*q^9*x^10-66*q^10*x^10-24*q^11*x^10-14*q^12*x^10 10 14 14 Yes 12
12a_888 [-1, 2, 3, -1, -2, 3, -4, 3, -4, 3, 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^6-123*q*x^6+16*q^2*x^6+6*q^3*x^6-3*q^-4*x^7-15*q^-3*x^7-36*q^-2*x^7-106*q^-1*x^7-184*x^7-342*q*x^7+80*q^2*x^7+47*q^3*x^7+7*q^4*x^7-3*q^-7*x^8-10*q^-6*x^8-42*q^-5*x^8-79*q^-4*x^8-175*q^-3*x^8-277*q^-2*x^8-517*q^-1*x^8-633*x^8-784*q*x^8+341*q^2*x^8+232*q^3*x^8+51*q^4*x^8+q^5*x^8-7*q^6*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^9-250*q^-6*x^9-493*q^-5*x^9-679*q^-4*x^9-1025*q^-3*x^9-1316*q^-2*x^9-1831*q^-1*x^9-1666*x^9-1357*q*x^9+1321*q^2*x^9+922*q^3*x^9+224*q^4*x^9-18*q^5*x^9-68*q^6*x^9-18*q^7*x^9-13*q^8*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^10-279*q^-10*x^10-537*q^-9*x^10-929*q^-8*x^10-1536*q^-7*x^10-2169*q^-6*x^10-3045*q^-5*x^10-3377*q^-4*x^10-4146*q^-3*x^10-4503*q^-2*x^10-4898*q^-1*x^10-3050*x^10-916*q*x^10+4712*q^2*x^10+3124*q^3*x^10+702*q^4*x^10-263*q^5*x^10-443*q^6*x^10-196*q^7*x^10-125*q^8*x^10-27*q^9*x^10-13*q^10*x^10 10 14 14 Yes 12
12n_888 [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] -q^5*x^4-q^6*x^6+5*q^7*x^7-q^7*x^8-6*q^8*x^8+4*q^8*x^9+12*q^9*x^9+q^10*x^9-q^8*x^10-6*q^9*x^10-25*q^10*x^10-10*q^11*x^10 10 12 12 Yes 12
12a_893 [1, 4, 4, -3, 2, -3, 4, -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^3-8*x^4-36*x^5-3*q*x^5+5*q^-2*x^6-127*x^6-23*q*x^6-9*q^2*x^6-q^3*x^6+18*q^-3*x^7+40*q^-2*x^7-7*q^-1*x^7-383*x^7-119*q*x^7-69*q^2*x^7-30*q^3*x^7-12*q^4*x^7-3*q^5*x^7+42*q^-4*x^8+144*q^-3*x^8+193*q^-2*x^8-35*q^-1*x^8-1046*x^8-476*q*x^8-345*q^2*x^8-218*q^3*x^8-145*q^4*x^8-63*q^5*x^8-33*q^6*x^8-9*q^7*x^8-3*q^8*x^8-7*q^-7*x^9-4*q^-6*x^9+76*q^-5*x^9+343*q^-4*x^9+738*q^-3*x^9+785*q^-2*x^9-72*q^-1*x^9-2625*x^9-1610*q*x^9-1353*q^2*x^9-1054*q^3*x^9-877*q^4*x^9-562*q^5*x^9-373*q^6*x^9-191*q^7*x^9-103*q^8*x^9-44*q^9*x^9-17*q^10*x^9-8*q^11*x^9-q^12*x^9+q^-10*x^10-23*q^-9*x^10-37*q^-8*x^10-84*q^-7*x^10+86*q^-6*x^10+633*q^-5*x^10+1825*q^-4*x^10+3123*q^-3*x^10+2974*q^-2*x^10+226*q^-1*x^10-6000*x^10-4702*q*x^10-4482*q^2*x^10-4016*q^3*x^10-3863*q^4*x^10-3099*q^5*x^10-2458*q^6*x^10-1635*q^7*x^10-1137*q^8*x^10-681*q^9*x^10-399*q^10*x^10-210*q^11*x^10-115*q^12*x^10-49*q^13*x^10-27*q^14*x^10-9*q^15*x^10-3*q^16*x^10 10 14 14 Yes 12
12a_898 [1, -2, -2, 1, 1, -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+3*q^-2*x^6-6*q^-1*x^6+2*x^6+2*q^-3*x^7+9*q^-2*x^7-11*q^-1*x^7+6*x^7+2*q*x^7-q^-4*x^8+3*q^-3*x^8+17*q^-2*x^8-24*q^-1*x^8+10*x^8+5*q*x^8-2*q^-6*x^9-7*q^-4*x^9+3*q^-3*x^9+26*q^-2*x^9-48*q^-1*x^9+10*x^9+9*q*x^9-2*q^2*x^9+q^3*x^9-2*q^4*x^9-2*q^-8*x^10+q^-7*x^10-6*q^-6*x^10+2*q^-5*x^10-16*q^-4*x^10+8*q^-3*x^10+43*q^-2*x^10-80*q^-1*x^10+8*x^10+18*q*x^10-4*q^2*x^10+4*q^3*x^10-3*q^4*x^10-2*q^6*x^10 10 12 12 Yes 12
12a_901 [1, -4, 3, 2, 2, -4, -3, -3, -3, 2, -3, 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^-1*x^3-8*q^-1*x^4-4*q^-2*x^5-36*q^-1*x^5-5*x^5-q^-4*x^6-15*q^-3*x^6-31*q^-2*x^6-136*q^-1*x^6-39*x^6-13*q*x^6-q^2*x^6-3*q^-6*x^7-15*q^-5*x^7-46*q^-4*x^7-119*q^-3*x^7-189*q^-2*x^7-470*q^-1*x^7-226*x^7-108*q*x^7-36*q^2*x^7-15*q^3*x^7-3*q^4*x^7-3*q^-9*x^8-10*q^-8*x^8-42*q^-7*x^8-82*q^-6*x^8-209*q^-5*x^8-390*q^-4*x^8-709*q^-3*x^8-949*q^-2*x^8-1653*q^-1*x^8-1069*x^8-670*q*x^8-319*q^2*x^8-181*q^3*x^8-79*q^4*x^8-42*q^5*x^8-10*q^6*x^8-3*q^7*x^8-q^-13*x^9-8*q^-12*x^9-20*q^-11*x^9-56*q^-10*x^9-135*q^-9*x^9-262*q^-8*x^9-544*q^-7*x^9-900*q^-6*x^9-1588*q^-5*x^9-2458*q^-4*x^9-3610*q^-3*x^9-4446*q^-2*x^9-6051*q^-1*x^9-4748*x^9-3456*q*x^9-2105*q^2*x^9-1345*q^3*x^9-808*q^4*x^9-520*q^5*x^9-256*q^6*x^9-134*q^7*x^9-56*q^8*x^9-20*q^9*x^9-8*q^10*x^9-q^11*x^9-3*q^-17*x^10-9*q^-16*x^10-30*q^-15*x^10-61*q^-14*x^10-151*q^-13*x^10-284*q^-12*x^10-567*q^-11*x^10-1011*q^-10*x^10-1792*q^-9*x^10-2820*q^-8*x^10-4573*q^-7*x^10-6602*q^-6*x^10-9777*q^-5*x^10-13280*q^-4*x^10-17298*q^-3*x^10-19957*q^-2*x^10-23534*q^-1*x^10-20485*x^10-16554*q*x^10-11714*q^2*x^10-8351*q^3*x^10-5715*q^4*x^10-4170*q^5*x^10-2677*q^6*x^10-1727*q^7*x^10-990*q^8*x^10-555*q^9*x^10-281*q^10*x^10-151*q^11*x^10-61*q^12*x^10-30*q^13*x^10-9*q^14*x^10-3*q^15*x^10 10 14 14 Yes 12
12a_906 [-1, 4, -3, 4, -2, 3, -2, -2, 3, 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] -x^3-7*x^4-q^-1*x^5-28*x^5-q*x^5-4*q^-2*x^6-7*q^-1*x^6-89*x^6-7*q*x^6-4*q^2*x^6-4*q^-4*x^7-13*q^-3*x^7-25*q^-2*x^7-40*q^-1*x^7-246*x^7-40*q*x^7-25*q^2*x^7-13*q^3*x^7-4*q^4*x^7-10*q^-6*x^8-17*q^-5*x^8-54*q^-4*x^8-84*q^-3*x^8-119*q^-2*x^8-171*q^-1*x^8-644*x^8-171*q*x^8-119*q^2*x^8-84*q^3*x^8-54*q^4*x^8-17*q^5*x^8-10*q^6*x^8-6*q^-9*x^9-22*q^-8*x^9-43*q^-7*x^9-102*q^-6*x^9-168*q^-5*x^9-299*q^-4*x^9-377*q^-3*x^9-472*q^-2*x^9-655*q^-1*x^9-1642*x^9-655*q*x^9-472*q^2*x^9-377*q^3*x^9-299*q^4*x^9-168*q^5*x^9-102*q^6*x^9-43*q^7*x^9-22*q^8*x^9-6*q^9*x^9-14*q^-12*x^10-24*q^-11*x^10-66*q^-10*x^10-134*q^-9*x^10-256*q^-8*x^10-370*q^-7*x^10-627*q^-6*x^10-885*q^-5*x^10-1264*q^-4*x^10-1440*q^-3*x^10-1751*q^-2*x^10-2297*q^-1*x^10-4267*x^10-2297*q*x^10-1751*q^2*x^10-1440*q^3*x^10-1264*q^4*x^10-885*q^5*x^10-627*q^6*x^10-370*q^7*x^10-256*q^8*x^10-134*q^9*x^10-66*q^10*x^10-24*q^11*x^10-14*q^12*x^10 10 14 14 Yes 12
12a_909 [1, 1, -2, -2, 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^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^4*x^7-q^-1*x^8+3*x^8+6*q*x^8-17*q^2*x^8+12*q^3*x^8+2*q^4*x^8-q^-3*x^9-3*q^-2*x^9-3*q^-1*x^9+7*x^9+8*q*x^9-28*q^2*x^9+19*q^3*x^9+3*q^4*x^9-q^5*x^9-q^7*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+8*q*x^10-44*q^2*x^10+27*q^3*x^10+4*q^4*x^10-3*q^5*x^10-4*q^7*x^10-q^9*x^10 10 12 12 Yes 12
12a_913 [1, -2, 3, 3, -4, 3, 3, 2, -1, -3, -2, -1, 3, -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, -1, -1, -1, -1] -q*x^3-6*q*x^4-3*x^5-21*q*x^5+6*q^2*x^5-6*q^-1*x^6-18*x^6-49*q*x^6+36*q^2*x^6+7*q^3*x^6-3*q^-3*x^7-9*q^-2*x^7-39*q^-1*x^7-47*x^7-66*q*x^7+137*q^2*x^7+27*q^3*x^7-7*q^4*x^7-6*q^-5*x^8-6*q^-4*x^8-30*q^-3*x^8-59*q^-2*x^8-108*q^-1*x^8-22*x^8+27*q*x^8+381*q^2*x^8+38*q^3*x^8-74*q^4*x^8-18*q^5*x^8-10*q^6*x^8-3*q^-8*x^9-9*q^-7*x^9-12*q^-6*x^9-45*q^-5*x^9-43*q^-4*x^9-133*q^-3*x^9-136*q^-2*x^9-62*q^-1*x^9+316*x^9+401*q*x^9+757*q^2*x^9-151*q^3*x^9-386*q^4*x^9-118*q^5*x^9-56*q^6*x^9+9*q^7*x^9-12*q^8*x^9-6*q^-11*x^10-6*q^-10*x^10-18*q^-9*x^10-36*q^-8*x^10-65*q^-7*x^10-68*q^-6*x^10-158*q^-5*x^10-119*q^-4*x^10-220*q^-3*x^10+143*q^-2*x^10+666*q^-1*x^10+1371*x^10+959*q*x^10+714*q^2*x^10-1226*q^3*x^10-1377*q^4*x^10-368*q^5*x^10-88*q^6*x^10+110*q^7*x^10-8*q^8*x^10+15*q^9*x^10-q^10*x^10 10 16 16 Yes 12
12a_916 [1, -2, -2, 1, 1, -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+2*q^-2*x^6-6*q^-1*x^6+2*x^6+q^-3*x^7+6*q^-2*x^7-11*q^-1*x^7+6*x^7+2*q*x^7+2*q^-3*x^8+12*q^-2*x^8-22*q^-1*x^8+11*x^8+5*q*x^8-q^-6*x^9+q^-5*x^9-q^-4*x^9+4*q^-3*x^9+20*q^-2*x^9-40*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-q^-8*x^10-3*q^-6*x^10+3*q^-5*x^10-3*q^-4*x^10+8*q^-3*x^10+32*q^-2*x^10-66*q^-1*x^10+19*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_918 [1, -4, -4, -4, 3, 2, 2, -4, -3, 2, -3, 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^-1*x^3-8*q^-1*x^4-2*q^-2*x^5-36*q^-1*x^5-5*x^5-q^-4*x^6-6*q^-3*x^6-15*q^-2*x^6-133*q^-1*x^6-39*x^6-13*q*x^6-q^2*x^6-3*q^-6*x^7-9*q^-5*x^7-17*q^-4*x^7-46*q^-3*x^7-99*q^-2*x^7-437*q^-1*x^7-214*x^7-107*q*x^7-36*q^2*x^7-15*q^3*x^7-3*q^4*x^7-3*q^-9*x^8-9*q^-8*x^8-24*q^-7*x^8-42*q^-6*x^8-81*q^-5*x^8-134*q^-4*x^8-288*q^-3*x^8-505*q^-2*x^8-1409*q^-1*x^8-943*x^8-618*q*x^8-302*q^2*x^8-178*q^3*x^8-79*q^4*x^8-42*q^5*x^8-10*q^6*x^8-3*q^7*x^8-q^-13*x^9-8*q^-12*x^9-17*q^-11*x^9-37*q^-10*x^9-76*q^-9*x^9-132*q^-8*x^9-238*q^-7*x^9-328*q^-6*x^9-529*q^-5*x^9-851*q^-4*x^9-1491*q^-3*x^9-2333*q^-2*x^9-4603*q^-1*x^9-3815*x^9-2921*q*x^9-1814*q^2*x^9-1218*q^3*x^9-755*q^4*x^9-507*q^5*x^9-253*q^6*x^9-134*q^7*x^9-56*q^8*x^9-20*q^9*x^9-8*q^10*x^9-q^11*x^9-3*q^-17*x^10-9*q^-16*x^10-27*q^-15*x^10-48*q^-14*x^10-95*q^-13*x^10-167*q^-12*x^10-292*q^-11*x^10-476*q^-10*x^10-767*q^-9*x^10-1096*q^-8*x^10-1583*q^-7*x^10-2046*q^-6*x^10-3070*q^-5*x^10-4576*q^-4*x^10-7105*q^-3*x^10-10053*q^-2*x^10-15752*q^-1*x^10-14780*x^10-12620*q*x^10-9101*q^2*x^10-6748*q^3*x^10-4809*q^4*x^10-3721*q^5*x^10-2466*q^6*x^10-1643*q^7*x^10-961*q^8*x^10-546*q^9*x^10-280*q^10*x^10-151*q^11*x^10-61*q^12*x^10-30*q^13*x^10-9*q^14*x^10-3*q^15*x^10 10 14 14 Yes 12
12a_920 [1, -2, 1, 1, 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^7-11*q^2*x^7+6*q^3*x^7-q^-1*x^8+3*x^8+4*q*x^8-20*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+5*x^9+3*q*x^9-33*q^2*x^9+22*q^3*x^9-3*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^10-8*q^-2*x^10-4*q^-1*x^10+11*x^10-47*q^2*x^10+38*q^3*x^10-5*q^4*x^10-7*q^5*x^10+4*q^6*x^10+q^8*x^10 10 12 12 Yes 12
12a_928 [-1, 2, -1, 2, -3, 4, -3, 2, -1, 2, -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^3-7*x^4-2*q^-1*x^5-28*x^5+5*q*x^5-3*q^-2*x^6-14*q^-1*x^6-82*x^6+35*q*x^6+12*q^2*x^6-2*q^-4*x^7-3*q^-3*x^7-22*q^-2*x^7-55*q^-1*x^7-186*x^7+154*q*x^7+74*q^2*x^7+7*q^3*x^7-4*q^-6*x^8-4*q^-5*x^8-16*q^-4*x^8-20*q^-3*x^8-93*q^-2*x^8-145*q^-1*x^8-312*x^8+532*q*x^8+283*q^2*x^8+8*q^3*x^8-19*q^4*x^8-19*q^5*x^8-2*q^-9*x^9-6*q^-8*x^9-9*q^-7*x^9-34*q^-6*x^9-24*q^-5*x^9-58*q^-4*x^9-80*q^-3*x^9-272*q^-2*x^9-239*q^-1*x^9-261*x^9+1566*q*x^9+796*q^2*x^9-127*q^3*x^9-227*q^4*x^9-173*q^5*x^9-36*q^6*x^9-28*q^7*x^9-4*q^-12*x^10-4*q^-11*x^10-12*q^-10*x^10-29*q^-9*x^10-54*q^-8*x^10-63*q^-7*x^10-131*q^-6*x^10-32*q^-5*x^10-130*q^-4*x^10-227*q^-3*x^10-564*q^-2*x^10-3*q^-1*x^10+622*x^10+4003*q*x^10+1672*q^2*x^10-1054*q^3*x^10-1325*q^4*x^10-939*q^5*x^10-235*q^6*x^10-163*q^7*x^10-11*q^8*x^10-11*q^9*x^10 10 14 14 Yes 12
12a_932 [-1, -4, 2, -3, 2, -1, -4, 2, -3, 2, 4, -3, 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, -1, 1, -1] -q*x^3-6*q*x^4-3*x^5-21*q*x^5+6*q^2*x^5-6*q^-1*x^6-18*x^6-49*q*x^6+36*q^2*x^6+9*q^3*x^6-3*q^-3*x^7-9*q^-2*x^7-39*q^-1*x^7-47*x^7-66*q*x^7+140*q^2*x^7+39*q^3*x^7-6*q^-5*x^8-6*q^-4*x^8-30*q^-3*x^8-59*q^-2*x^8-108*q^-1*x^8-22*x^8+34*q*x^8+405*q^2*x^8+92*q^3*x^8-39*q^4*x^8-13*q^5*x^8-15*q^6*x^8-3*q^-8*x^9-9*q^-7*x^9-12*q^-6*x^9-45*q^-5*x^9-43*q^-4*x^9-133*q^-3*x^9-136*q^-2*x^9-59*q^-1*x^9+332*x^9+461*q*x^9+885*q^2*x^9+32*q^3*x^9-281*q^4*x^9-127*q^5*x^9-101*q^6*x^9-19*q^7*x^9-21*q^8*x^9-6*q^-11*x^10-6*q^-10*x^10-18*q^-9*x^10-36*q^-8*x^10-65*q^-7*x^10-68*q^-6*x^10-158*q^-5*x^10-119*q^-4*x^10-214*q^-3*x^10+157*q^-2*x^10+720*q^-1*x^10+1521*x^10+1281*q*x^10+1180*q^2*x^10-758*q^3*x^10-1240*q^4*x^10-581*q^5*x^10-391*q^6*x^10-92*q^7*x^10-101*q^8*x^10-6*q^9*x^10-6*q^10*x^10 10 14 14 Yes 12
12a_933 [-1, 2, 3, -4, -1, 2, -4, 2, 3, -4, -2, 3, -4, -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^-1*x^3-7*q^-1*x^4-28*q^-1*x^5-2*x^5-4*q^-3*x^6-86*q^-1*x^6-14*x^6-3*q*x^6-4*q^-5*x^7-16*q^-4*x^7-24*q^-3*x^7-4*q^-2*x^7-224*q^-1*x^7-60*x^7-20*q*x^7-4*q^2*x^7-4*q^3*x^7-10*q^-7*x^8-18*q^-6*x^8-59*q^-5*x^8-99*q^-4*x^8-103*q^-3*x^8-31*q^-2*x^8-525*q^-1*x^8-197*x^8-84*q*x^8-20*q^2*x^8-31*q^3*x^8-17*q^4*x^8-10*q^5*x^8-6*q^-10*x^9-22*q^-9*x^9-43*q^-8*x^9-105*q^-7*x^9-180*q^-6*x^9-317*q^-5*x^9-421*q^-4*x^9-369*q^-3*x^9-153*q^-2*x^9-1149*q^-1*x^9-555*x^9-276*q*x^9-60*q^2*x^9-103*q^3*x^9-117*q^4*x^9-111*q^5*x^9-47*q^6*x^9-22*q^7*x^9-6*q^8*x^9-14*q^-13*x^10-24*q^-12*x^10-66*q^-11*x^10-132*q^-10*x^10-259*q^-9*x^10-384*q^-8*x^10-655*q^-7*x^10-903*q^-6*x^10-1271*q^-5*x^10-1459*q^-4*x^10-1197*q^-3*x^10-589*q^-2*x^10-2424*q^-1*x^10-1424*x^10-801*q*x^10-147*q^2*x^10-198*q^3*x^10-368*q^4*x^10-561*q^5*x^10-413*q^6*x^10-277*q^7*x^10-145*q^8*x^10-66*q^9*x^10-24*q^10*x^10-14*q^11*x^10 10 14 14 Yes 12
12a_935 [-1, -4, 2, -3, -4, 2, -3, -1, 2, -3, 4, -3, 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, -1, 1, -1] -x^3-7*x^4-2*q^-1*x^5-28*x^5+3*q*x^5-3*q^-2*x^6-14*q^-1*x^6-84*x^6+21*q*x^6+8*q^2*x^6-2*q^-4*x^7-3*q^-3*x^7-22*q^-2*x^7-56*q^-1*x^7-204*x^7+91*q*x^7+52*q^2*x^7+12*q^3*x^7+q^4*x^7-4*q^-6*x^8-4*q^-5*x^8-16*q^-4*x^8-20*q^-3*x^8-88*q^-2*x^8-162*q^-1*x^8-408*x^8+314*q*x^8+214*q^2*x^8+68*q^3*x^8+22*q^4*x^8-5*q^5*x^8+2*q^6*x^8-2*q^-9*x^9-6*q^-8*x^9-9*q^-7*x^9-34*q^-6*x^9-24*q^-5*x^9-55*q^-4*x^9-61*q^-3*x^9-254*q^-2*x^9-356*q^-1*x^9-653*x^9+946*q*x^9+691*q^2*x^9+247*q^3*x^9+98*q^4*x^9-8*q^5*x^9-11*q^6*x^9-16*q^7*x^9+2*q^8*x^9+q^9*x^9-4*q^-12*x^10-4*q^-11*x^10-12*q^-10*x^10-29*q^-9*x^10-54*q^-8*x^10-63*q^-7*x^10-128*q^-6*x^10-24*q^-5*x^10-58*q^-4*x^10-107*q^-3*x^10-575*q^-2*x^10-589*q^-1*x^10-685*x^10+2551*q*x^10+1904*q^2*x^10+697*q^3*x^10+284*q^4*x^10-27*q^5*x^10-60*q^6*x^10-170*q^7*x^10-56*q^8*x^10-28*q^9*x^10-q^10*x^10+2*q^12*x^10 10 14 14 Yes 12
12a_948 [1, -4, 3, 2, -4, -3, -2, 3, -2, 3, -4, 3, 3, 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, 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^6-131*q*x^6-15*q^2*x^6-9*q^3*x^6-q^4*x^6-3*q^-4*x^7-15*q^-3*x^7-36*q^-2*x^7-107*q^-1*x^7-210*x^7-421*q*x^7-93*q^2*x^7-67*q^3*x^7-34*q^4*x^7-12*q^5*x^7-3*q^6*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^8-302*q^-2*x^8-611*q^-1*x^8-901*x^8-1314*q*x^8-463*q^2*x^8-375*q^3*x^8-257*q^4*x^8-158*q^5*x^8-66*q^6*x^8-33*q^7*x^8-9*q^8*x^8-3*q^9*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^9-755*q^-4*x^9-1219*q^-3*x^9-1801*q^-2*x^9-2822*q^-1*x^9-3522*x^9-4141*q*x^9-2111*q^2*x^9-1804*q^3*x^9-1448*q^4*x^9-1067*q^5*x^9-657*q^6*x^9-401*q^7*x^9-200*q^8*x^9-104*q^9*x^9-44*q^10*x^9-17*q^11*x^9-8*q^12*x^9-q^13*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^10-1643*q^-7*x^10-2465*q^-6*x^10-3719*q^-5*x^10-4807*q^-4*x^10-6719*q^-3*x^10-8861*q^-2*x^10-11808*q^-1*x^10-13164*x^10-13726*q*x^10-9071*q^2*x^10-8153*q^3*x^10-7065*q^4*x^10-5817*q^5*x^10-4255*q^6*x^10-3070*q^7*x^10-1948*q^8*x^10-1268*q^9*x^10-727*q^10*x^10-417*q^11*x^10-214*q^12*x^10-115*q^13*x^10-49*q^14*x^10-27*q^15*x^10-9*q^16*x^10-3*q^17*x^10 10 16 16 Yes 12
12a_951 [1, -2, -3, 4, 1, -2, -2, -3, -3, 4, -3, 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^-1*x^3-8*q^-1*x^4+q^-2*x^5-36*q^-1*x^5-5*x^5+4*q^-3*x^6+8*q^-2*x^6-128*q^-1*x^6-39*x^6-13*q*x^6-q^2*x^6+8*q^-4*x^7+32*q^-3*x^7+30*q^-2*x^7-386*q^-1*x^7-203*x^7-107*q*x^7-36*q^2*x^7-15*q^3*x^7-3*q^4*x^7-2*q^-6*x^8+13*q^-5*x^8+62*q^-4*x^8+155*q^-3*x^8+106*q^-2*x^8-1056*q^-1*x^8-810*x^8-590*q*x^8-295*q^2*x^8-178*q^3*x^8-79*q^4*x^8-42*q^5*x^8-10*q^6*x^8-3*q^7*x^8-7*q^-8*x^9-7*q^-7*x^9+101*q^-5*x^9+325*q^-4*x^9+649*q^-3*x^9+386*q^-2*x^9-2640*q^-1*x^9-2777*x^9-2524*q*x^9-1664*q^2*x^9-1163*q^3*x^9-735*q^4*x^9-506*q^5*x^9-253*q^6*x^9-134*q^7*x^9-56*q^8*x^9-20*q^9*x^9-8*q^10*x^9-q^11*x^9-15*q^-10*x^10-30*q^-9*x^10-81*q^-8*x^10-45*q^-7*x^10+47*q^-6*x^10+548*q^-5*x^10+1472*q^-4*x^10+2506*q^-3*x^10+1596*q^-2*x^10-6001*q^-1*x^10-8395*x^10-9229*q*x^10-7411*q^2*x^10-5886*q^3*x^10-4339*q^4*x^10-3528*q^5*x^10-2390*q^6*x^10-1623*q^7*x^10-958*q^8*x^10-546*q^9*x^10-280*q^10*x^10-151*q^11*x^10-61*q^12*x^10-30*q^13*x^10-9*q^14*x^10-3*q^15*x^10 10 14 14 Yes 12
12a_961 [-1, 2, 3, -4, -1, 2, -4, 2, 3, -2, 3, -4, 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^4-3*q^-1*x^5-36*x^5-2*q*x^5-q^-3*x^6-9*q^-2*x^6-23*q^-1*x^6-127*x^6-16*q*x^6-5*q^2*x^6-3*q^-5*x^7-12*q^-4*x^7-30*q^-3*x^7-69*q^-2*x^7-120*q^-1*x^7-389*x^7-84*q*x^7-39*q^2*x^7-13*q^3*x^7-4*q^4*x^7-3*q^-8*x^8-9*q^-7*x^8-33*q^-6*x^8-63*q^-5*x^8-145*q^-4*x^8-223*q^-3*x^8-355*q^-2*x^8-499*q^-1*x^8-1109*x^8-351*q*x^8-196*q^2*x^8-104*q^3*x^8-60*q^4*x^8-16*q^5*x^8-10*q^6*x^8-q^-12*x^9-8*q^-11*x^9-17*q^-10*x^9-44*q^-9*x^9-103*q^-8*x^9-191*q^-7*x^9-374*q^-6*x^9-577*q^-5*x^9-913*q^-4*x^9-1142*q^-3*x^9-1494*q^-2*x^9-1838*q^-1*x^9-3062*x^9-1297*q*x^9-808*q^2*x^9-527*q^3*x^9-393*q^4*x^9-192*q^5*x^9-114*q^6*x^9-42*q^7*x^9-22*q^8*x^9-6*q^9*x^9-3*q^-16*x^10-9*q^-15*x^10-27*q^-14*x^10-49*q^-13*x^10-115*q^-12*x^10-210*q^-11*x^10-399*q^-10*x^10-684*q^-9*x^10-1153*q^-8*x^10-1691*q^-7*x^10-2582*q^-6*x^10-3382*q^-5*x^10-4372*q^-4*x^10-4854*q^-3*x^10-5641*q^-2*x^10-6304*q^-1*x^10-8449*x^10-4466*q*x^10-3025*q^2*x^10-2200*q^3*x^10-1858*q^4*x^10-1220*q^5*x^10-814*q^6*x^10-424*q^7*x^10-280*q^8*x^10-140*q^9*x^10-66*q^10*x^10-24*q^11*x^10-14*q^12*x^10 10 14 14 Yes 12
12a_962 [1, -2, 3, -4, 1, 2, 2, 2, -3, 2, 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*x^3-8*q*x^4-5*x^5-36*q*x^5-3*q^2*x^5-q^-2*x^6-13*q^-1*x^6-39*x^6-133*q*x^6-23*q^2*x^6-13*q^3*x^6-q^4*x^6-3*q^-4*x^7-15*q^-3*x^7-36*q^-2*x^7-107*q^-1*x^7-216*x^7-442*q*x^7-141*q^2*x^7-99*q^3*x^7-45*q^4*x^7-15*q^5*x^7-3*q^6*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^8-307*q^-2*x^8-631*q^-1*x^8-968*x^8-1464*q*x^8-704*q^2*x^8-570*q^3*x^8-358*q^4*x^8-208*q^5*x^8-84*q^6*x^8-42*q^7*x^8-10*q^8*x^8-3*q^9*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^9-508*q^-5*x^9-770*q^-4*x^9-1258*q^-3*x^9-1908*q^-2*x^9-3063*q^-1*x^9-4029*x^9-4992*q*x^9-3256*q^2*x^9-2810*q^3*x^9-2122*q^4*x^9-1492*q^5*x^9-896*q^6*x^9-542*q^7*x^9-264*q^8*x^9-135*q^9*x^9-56*q^10*x^9-20*q^11*x^9-8*q^12*x^9-q^13*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^10-964*q^-8*x^10-1659*q^-7*x^10-2522*q^-6*x^10-3855*q^-5*x^10-5119*q^-4*x^10-7312*q^-3*x^10-9950*q^-2*x^10-13694*q^-1*x^10-16230*x^10-18094*q*x^10-14312*q^2*x^10-13024*q^3*x^10-10845*q^4*x^10-8622*q^5*x^10-6189*q^6*x^10-4418*q^7*x^10-2777*q^8*x^10-1779*q^9*x^10-1008*q^10*x^10-567*q^11*x^10-284*q^12*x^10-151*q^13*x^10-61*q^14*x^10-30*q^15*x^10-9*q^16*x^10-3*q^17*x^10 10 14 14 Yes 12
12a_964 [1, -2, 3, -4, 1, 2, -3, 2, -3, -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^-1*x^3-8*q^-1*x^4-q^-2*x^5-36*q^-1*x^5-5*x^5-4*q^-3*x^6-8*q^-2*x^6-128*q^-1*x^6-39*x^6-13*q*x^6-q^2*x^6-4*q^-5*x^7-11*q^-4*x^7-29*q^-3*x^7-49*q^-2*x^7-396*q^-1*x^7-202*x^7-107*q*x^7-36*q^2*x^7-15*q^3*x^7-3*q^4*x^7-10*q^-7*x^8-17*q^-6*x^8-49*q^-5*x^8-84*q^-4*x^8-151*q^-3*x^8-235*q^-2*x^8-1151*q^-1*x^8-825*x^8-589*q*x^8-300*q^2*x^8-178*q^3*x^8-79*q^4*x^8-42*q^5*x^8-10*q^6*x^8-3*q^7*x^8-6*q^-10*x^9-22*q^-9*x^9-43*q^-8*x^9-115*q^-7*x^9-170*q^-6*x^9-306*q^-5*x^9-447*q^-4*x^9-665*q^-3*x^9-992*q^-2*x^9-3260*q^-1*x^9-2987*x^9-2581*q*x^9-1719*q^2*x^9-1200*q^3*x^9-750*q^4*x^9-507*q^5*x^9-253*q^6*x^9-134*q^7*x^9-56*q^8*x^9-20*q^9*x^9-8*q^10*x^9-q^11*x^9-14*q^-13*x^10-24*q^-12*x^10-66*q^-11*x^10-140*q^-10*x^10-287*q^-9*x^10-454*q^-8*x^10-782*q^-7*x^10-1032*q^-6*x^10-1522*q^-5*x^10-2001*q^-4*x^10-2710*q^-3*x^10-3830*q^-2*x^10-9305*q^-1*x^10-10040*x^10-9961*q*x^10-7955*q^2*x^10-6323*q^3*x^10-4648*q^4*x^10-3660*q^5*x^10-2448*q^6*x^10-1639*q^7*x^10-961*q^8*x^10-546*q^9*x^10-280*q^10*x^10-151*q^11*x^10-61*q^12*x^10-30*q^13*x^10-9*q^14*x^10-3*q^15*x^10 10 14 14 Yes 12
12a_965 [-1, 2, 3, -1, -2, 3, -4, -4, 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] -x^3-8*x^4-4*q^-1*x^5-36*x^5-q^-3*x^6-14*q^-2*x^6-31*q^-1*x^6-128*x^6+5*q^2*x^6-3*q^-5*x^7-15*q^-4*x^7-47*q^-3*x^7-110*q^-2*x^7-163*q^-1*x^7-391*x^7-7*q*x^7+40*q^2*x^7+18*q^3*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^8-369*q^-3*x^8-575*q^-2*x^8-664*q^-1*x^8-1086*x^8-30*q*x^8+198*q^2*x^8+144*q^3*x^8+42*q^4*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^9-532*q^-6*x^9-872*q^-5*x^9-1476*q^-4*x^9-1945*q^-3*x^9-2359*q^-2*x^9-2300*q^-1*x^9-2757*x^9-3*q*x^9+847*q^2*x^9+756*q^3*x^9+344*q^4*x^9+76*q^5*x^9-4*q^6*x^9-7*q^7*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^10-980*q^-9*x^10-1695*q^-8*x^10-2556*q^-7*x^10-4039*q^-6*x^10-5503*q^-5*x^10-7338*q^-4*x^10-8086*q^-3*x^10-8240*q^-2*x^10-6860*q^-1*x^10-6205*x^10+782*q*x^10+3467*q^2*x^10+3335*q^3*x^10+1874*q^4*x^10+634*q^5*x^10+84*q^6*x^10-84*q^7*x^10-37*q^8*x^10-23*q^9*x^10+q^10*x^10 10 14 14 Yes 12
12a_968 [-1, -4, -4, -4, 3, 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] -x^3-7*x^4-4*q^-1*x^5-28*x^5-q*x^5-q^-3*x^6-15*q^-2*x^6-27*q^-1*x^6-89*x^6-7*q*x^6-4*q^2*x^6-3*q^-5*x^7-15*q^-4*x^7-47*q^-3*x^7-102*q^-2*x^7-123*q^-1*x^7-247*x^7-37*q*x^7-25*q^2*x^7-13*q^3*x^7-4*q^4*x^7-3*q^-8*x^8-10*q^-7*x^8-42*q^-6*x^8-79*q^-5*x^8-197*q^-4*x^8-325*q^-3*x^8-461*q^-2*x^8-448*q^-1*x^8-647*x^8-154*q*x^8-121*q^2*x^8-88*q^3*x^8-54*q^4*x^8-17*q^5*x^8-10*q^6*x^8-q^-12*x^9-8*q^-11*x^9-20*q^-10*x^9-56*q^-9*x^9-132*q^-8*x^9-246*q^-7*x^9-478*q^-6*x^9-745*q^-5*x^9-1197*q^-4*x^9-1507*q^-3*x^9-1691*q^-2*x^9-1468*q^-1*x^9-1672*x^9-602*q*x^9-504*q^2*x^9-434*q^3*x^9-328*q^4*x^9-178*q^5*x^9-102*q^6*x^9-43*q^7*x^9-22*q^8*x^9-6*q^9*x^9-3*q^-16*x^10-9*q^-15*x^10-30*q^-14*x^10-61*q^-13*x^10-150*q^-12*x^10-274*q^-11*x^10-529*q^-10*x^10-901*q^-9*x^10-1506*q^-8*x^10-2178*q^-7*x^10-3249*q^-6*x^10-4205*q^-5*x^10-5349*q^-4*x^10-5704*q^-3*x^10-5593*q^-2*x^10-4584*q^-1*x^10-4510*x^10-2291*q*x^10-2039*q^2*x^10-1858*q^3*x^10-1569*q^4*x^10-1046*q^5*x^10-696*q^6*x^10-398*q^7*x^10-262*q^8*x^10-134*q^9*x^10-66*q^10*x^10-24*q^11*x^10-14*q^12*x^10 10 14 14 Yes 12
12a_981 [1, -2, -2, 1, 1, -2, 1, 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+2*x^6+q^-3*x^7+6*q^-2*x^7-10*q^-1*x^7+6*x^7+2*q*x^7+2*q^-3*x^8+12*q^-2*x^8-19*q^-1*x^8+12*x^8+5*q*x^8-q^-6*x^9+q^-5*x^9-q^-4*x^9+3*q^-3*x^9+18*q^-2*x^9-34*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-q^-8*x^10-3*q^-6*x^10+3*q^-5*x^10-3*q^-4*x^10+4*q^-3*x^10+25*q^-2*x^10-57*q^-1*x^10+19*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_984 [1, -2, -2, -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^-3*x^4-3*q^-3*x^5+3*q^-4*x^6-6*q^-3*x^6+q^-5*x^7+9*q^-4*x^7-9*q^-3*x^7+q^-1*x^7-q^-6*x^8+19*q^-4*x^8-12*q^-3*x^8+3*q^-1*x^8+3*x^8-q^-8*x^9+q^-7*x^9-5*q^-6*x^9-4*q^-5*x^9+30*q^-4*x^9-14*q^-3*x^9-3*q^-2*x^9+3*q^-1*x^9+9*x^9+6*q*x^9-q^-10*x^10+q^-9*x^10-3*q^-8*x^10+4*q^-7*x^10-11*q^-6*x^10-14*q^-5*x^10+41*q^-4*x^10-16*q^-3*x^10-9*q^-2*x^10-8*q^-1*x^10+9*x^10+17*q*x^10+10*q^2*x^10-q^4*x^10 10 12 12 Yes 12
12a_990 [-1, 2, 3, -4, -1, 2, -4, 2, 2, 3, -2, -4, 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^3-7*x^4-q^-1*x^5-28*x^5-q*x^5-4*q^-2*x^6-7*q^-1*x^6-84*x^6-7*q*x^6-4*q^2*x^6-4*q^-4*x^7-13*q^-3*x^7-25*q^-2*x^7-25*q^-1*x^7-211*x^7-25*q*x^7-25*q^2*x^7-13*q^3*x^7-4*q^4*x^7-10*q^-6*x^8-17*q^-5*x^8-54*q^-4*x^8-80*q^-3*x^8-87*q^-2*x^8-65*q^-1*x^8-453*x^8-65*q*x^8-87*q^2*x^8-80*q^3*x^8-54*q^4*x^8-17*q^5*x^8-10*q^6*x^8-6*q^-9*x^9-22*q^-8*x^9-43*q^-7*x^9-102*q^-6*x^9-158*q^-5*x^9-278*q^-4*x^9-289*q^-3*x^9-220*q^-2*x^9-103*q^-1*x^9-848*x^9-103*q*x^9-220*q^2*x^9-289*q^3*x^9-278*q^4*x^9-158*q^5*x^9-102*q^6*x^9-43*q^7*x^9-22*q^8*x^9-6*q^9*x^9-14*q^-12*x^10-24*q^-11*x^10-66*q^-10*x^10-134*q^-9*x^10-250*q^-8*x^10-343*q^-7*x^10-563*q^-6*x^10-734*q^-5*x^10-949*q^-4*x^10-773*q^-3*x^10-391*q^-2*x^10-17*q^-1*x^10-1322*x^10-17*q*x^10-391*q^2*x^10-773*q^3*x^10-949*q^4*x^10-734*q^5*x^10-563*q^6*x^10-343*q^7*x^10-250*q^8*x^10-134*q^9*x^10-66*q^10*x^10-24*q^11*x^10-14*q^12*x^10 10 14 14 Yes 12
12a_991 [1, 4, -3, 2, -3, -3, 4, -3, -2, -2, -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+4*q^-3*x^5-28*q^-2*x^5-7*q^-1*x^5+6*q^-4*x^6+28*q^-3*x^6-80*q^-2*x^6-48*q^-1*x^6-22*x^6-q*x^6-q^-5*x^7+36*q^-4*x^7+130*q^-3*x^7-154*q^-2*x^7-175*q^-1*x^7-161*x^7-67*q*x^7-21*q^2*x^7-3*q^3*x^7-7*q^-7*x^8-12*q^-6*x^8-24*q^-5*x^8+136*q^-4*x^8+484*q^-3*x^8-86*q^-2*x^8-354*q^-1*x^8-607*x^8-481*q*x^8-296*q^2*x^8-119*q^3*x^8-60*q^4*x^8-11*q^5*x^8-3*q^6*x^8-9*q^-9*x^9-66*q^-7*x^9-117*q^-6*x^9-194*q^-5*x^9+319*q^-4*x^9+1495*q^-3*x^9+792*q^-2*x^9+63*q^-1*x^9-1230*x^9-1726*q*x^9-1685*q^2*x^9-1121*q^3*x^9-752*q^4*x^9-377*q^5*x^9-193*q^6*x^9-75*q^7*x^9-23*q^8*x^9-8*q^9*x^9-q^10*x^9-3*q^-11*x^10+4*q^-10*x^10-30*q^-9*x^10-20*q^-8*x^10-335*q^-7*x^10-683*q^-6*x^10-1155*q^-5*x^10+109*q^-4*x^10+3579*q^-3*x^10+4174*q^-2*x^10+3728*q^-1*x^10+404*x^10-2791*q*x^10-5110*q^2*x^10-5176*q^3*x^10-4634*q^4*x^10-3337*q^5*x^10-2351*q^6*x^10-1411*q^7*x^10-804*q^8*x^10-396*q^9*x^10-207*q^10*x^10-74*q^11*x^10-33*q^12*x^10-9*q^13*x^10-3*q^14*x^10 10 14 14 Yes 12
12a_992 [1, -2, -3, 1, 2, -3, 2, -3, -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] -x^3-8*x^4-4*q^-1*x^5-36*x^5-2*q*x^5-q^-3*x^6-14*q^-2*x^6-31*q^-1*x^6-128*x^6-16*q*x^6-5*q^2*x^6-3*q^-5*x^7-15*q^-4*x^7-47*q^-3*x^7-110*q^-2*x^7-164*q^-1*x^7-399*x^7-86*q*x^7-39*q^2*x^7-13*q^3*x^7-4*q^4*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^8-374*q^-3*x^8-584*q^-2*x^8-697*q^-1*x^8-1176*x^8-371*q*x^8-203*q^2*x^8-107*q^3*x^8-60*q^4*x^8-16*q^5*x^8-10*q^6*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^9-533*q^-6*x^9-887*q^-5*x^9-1510*q^-4*x^9-2033*q^-3*x^9-2535*q^-2*x^9-2653*q^-1*x^9-3410*x^9-1442*q*x^9-883*q^2*x^9-573*q^3*x^9-413*q^4*x^9-200*q^5*x^9-114*q^6*x^9-42*q^7*x^9-22*q^8*x^9-6*q^9*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^10-983*q^-9*x^10-1711*q^-8*x^10-2614*q^-7*x^10-4163*q^-6*x^10-5796*q^-5*x^10-7877*q^-4*x^10-9091*q^-3*x^10-9895*q^-2*x^10-9466*q^-1*x^10-10067*x^10-5302*q*x^10-3559*q^2*x^10-2588*q^3*x^10-2106*q^4*x^10-1353*q^5*x^10-870*q^6*x^10-447*q^7*x^10-285*q^8*x^10-140*q^9*x^10-66*q^10*x^10-24*q^11*x^10-14*q^12*x^10 10 14 14 Yes 12
12a_999 [1, -2, -2, 1, 1, -2, -2, -2, 1, 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+2*x^6+2*q^-3*x^7+9*q^-2*x^7-11*q^-1*x^7+6*x^7+2*q*x^7-q^-4*x^8+3*q^-3*x^8+18*q^-2*x^8-24*q^-1*x^8+10*x^8+5*q*x^8-2*q^-6*x^9-7*q^-4*x^9+4*q^-3*x^9+29*q^-2*x^9-47*q^-1*x^9+10*x^9+9*q*x^9-2*q^2*x^9+q^3*x^9-2*q^4*x^9-2*q^-8*x^10+q^-7*x^10-6*q^-6*x^10+q^-5*x^10-18*q^-4*x^10+9*q^-3*x^10+50*q^-2*x^10-79*q^-1*x^10+7*x^10+18*q*x^10-4*q^2*x^10+4*q^3*x^10-3*q^4*x^10-2*q^6*x^10 10 12 12 Yes 12
12a_1002 [1, -2, -2, -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^-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^7-20*q^-1*x^7+4*x^7+q*x^7-q^-4*x^8+3*q^-3*x^8+21*q^-2*x^8-37*q^-1*x^8+11*x^8+4*q*x^8-q^-6*x^9-5*q^-4*x^9+6*q^-3*x^9+43*q^-2*x^9-62*q^-1*x^9+22*x^9+12*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+10*q^-3*x^10+78*q^-2*x^10-100*q^-1*x^10+40*x^10+28*q*x^10+q^2*x^10+3*q^3*x^10-q^6*x^10 10 12 12 Yes 12
12a_1011 [1, -2, 1, 1, 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, 1] -x^4-3*x^5+q^-1*x^6-6*x^6+2*q*x^6+3*q^-1*x^7-10*x^7+6*q*x^7+q^2*x^7+6*q^-1*x^8-17*x^8+12*q*x^8+2*q^2*x^8-q^3*x^8+q^-4*x^9+10*q^-1*x^9-27*x^9+19*q*x^9+2*q^2*x^9-4*q^3*x^9-q^5*x^9-q^-5*x^10+3*q^-4*x^10+15*q^-1*x^10-40*x^10+27*q*x^10+2*q^2*x^10-10*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_1013 [1, -2, -2, -2, 1, -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, 1] -q*x^4-3*q*x^5+x^6-6*q*x^6+2*q^2*x^6+3*x^7-10*q*x^7+6*q^2*x^7+q^3*x^7-q^-2*x^8+6*x^8-17*q*x^8+12*q^2*x^8+2*q^3*x^8+q^-3*x^9-3*q^-2*x^9+10*x^9-27*q*x^9+19*q^2*x^9+3*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+2*q^-1*x^10+16*x^10-40*q*x^10+28*q^2*x^10+4*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_1019 [-1, 2, -3, 4, -1, 2, -3, -1, 2, 4, -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] -x^3-9*x^4-3*q^-1*x^5-45*x^5-3*q*x^5-4*q^-2*x^6-27*q^-1*x^6-177*x^6-27*q*x^6-4*q^2*x^6-3*q^-4*x^7-39*q^-2*x^7-162*q^-1*x^7-612*x^7-162*q*x^7-39*q^2*x^7-3*q^4*x^7-6*q^-6*x^8-3*q^-5*x^8-9*q^-4*x^8-18*q^-3*x^8-258*q^-2*x^8-777*q^-1*x^8-1988*x^8-777*q*x^8-258*q^2*x^8-18*q^3*x^8-9*q^4*x^8-3*q^5*x^8-6*q^6*x^8-3*q^-9*x^9-9*q^-8*x^9-8*q^-7*x^9-39*q^-6*x^9+18*q^-5*x^9-25*q^-4*x^9-226*q^-3*x^9-1371*q^-2*x^9-3264*q^-1*x^9-6316*x^9-3264*q*x^9-1371*q^2*x^9-226*q^3*x^9-25*q^4*x^9+18*q^5*x^9-39*q^6*x^9-8*q^7*x^9-9*q^8*x^9-3*q^9*x^9-6*q^-12*x^10-6*q^-11*x^10-15*q^-10*x^10-42*q^-9*x^10-66*q^-8*x^10-27*q^-7*x^10-36*q^-6*x^10+201*q^-5*x^10-210*q^-4*x^10-1671*q^-3*x^10-6333*q^-2*x^10-12672*q^-1*x^10-20064*x^10-12672*q*x^10-6333*q^2*x^10-1671*q^3*x^10-210*q^4*x^10+201*q^5*x^10-36*q^6*x^10-27*q^7*x^10-66*q^8*x^10-42*q^9*x^10-15*q^10*x^10-6*q^11*x^10-6*q^12*x^10 10 12 12 Yes 12
12a_1020 [1, -2, 3, -4, 1, 3, -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] -q*x^3-8*q*x^4-4*x^5-36*q*x^5+2*q^2*x^5-7*q^-1*x^6-32*x^6-124*q*x^6+16*q^2*x^6+6*q^3*x^6-4*q^-3*x^7-6*q^-2*x^7-62*q^-1*x^7-160*x^7-354*q*x^7+76*q^2*x^7+47*q^3*x^7+7*q^4*x^7-8*q^-5*x^8-5*q^-4*x^8-24*q^-3*x^8-75*q^-2*x^8-352*q^-1*x^8-606*x^8-875*q*x^8+304*q^2*x^8+228*q^3*x^8+50*q^4*x^8+2*q^5*x^8-6*q^6*x^8-4*q^-8*x^9-12*q^-7*x^9-11*q^-6*x^9-52*q^-5*x^9-6*q^-4*x^9-159*q^-3*x^9-568*q^-2*x^9-1525*q^-1*x^9-1917*x^9-1852*q*x^9+1108*q^2*x^9+894*q^3*x^9+227*q^4*x^9-9*q^5*x^9-56*q^6*x^9-10*q^7*x^9-10*q^8*x^9-8*q^-11*x^10-8*q^-10*x^10-21*q^-9*x^10-50*q^-8*x^10-79*q^-7*x^10-39*q^-6*x^10-115*q^-5*x^10-61*q^-4*x^10-1191*q^-3*x^10-3074*q^-2*x^10-5522*q^-1*x^10-5172*x^10-3094*q*x^10+3844*q^2*x^10+3068*q^3*x^10+809*q^4*x^10-171*q^5*x^10-359*q^6*x^10-108*q^7*x^10-75*q^8*x^10-8*q^9*x^10-8*q^10*x^10 10 12 12 Yes 12
12a_1021 [1, 2, 2, -3, 4, 2, -3, 1, 2, 4, -3, 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] -q*x^3-8*q*x^4-36*q*x^5-q^2*x^5+5*q^-1*x^6-126*q*x^6-8*q^2*x^6-q^-3*x^7+15*q^-2*x^7+41*q^-1*x^7-9*x^7-378*q*x^7-47*q^2*x^7+3*q^4*x^7-q^5*x^7-2*q^-5*x^8-7*q^-4*x^8+15*q^-3*x^8+124*q^-2*x^8+187*q^-1*x^8-64*x^8-1037*q*x^8-214*q^2*x^8-14*q^3*x^8+26*q^4*x^8-2*q^6*x^8-2*q^7*x^8-q^-8*x^9-3*q^-7*x^9-19*q^-6*x^9-43*q^-5*x^9-57*q^-4*x^9+159*q^-3*x^9+616*q^-2*x^9+675*q^-1*x^9-300*x^9-2695*q*x^9-839*q^2*x^9-123*q^3*x^9+116*q^4*x^9+41*q^5*x^9-q^6*x^9-19*q^7*x^9-6*q^8*x^9-3*q^9*x^9-q^10*x^9-2*q^-11*x^10-2*q^-10*x^10-5*q^-9*x^10-40*q^-8*x^10-84*q^-7*x^10-232*q^-6*x^10-417*q^-5*x^10-254*q^-4*x^10+916*q^-3*x^10+2468*q^-2*x^10+2143*q^-1*x^10-1123*x^10-6829*q*x^10-2948*q^2*x^10-713*q^3*x^10+372*q^4*x^10+286*q^5*x^10+90*q^6*x^10-65*q^7*x^10-52*q^8*x^10-36*q^9*x^10-20*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_1027 [1, -2, -2, -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] -q^-1*x^4-2*q^-1*x^5+2*q^-2*x^6-3*q^-1*x^6+x^6+4*q^-2*x^7-4*q^-1*x^7+2*x^7-q^-4*x^8-q^-3*x^8+6*q^-2*x^8-7*q^-1*x^8+3*x^8+q^-5*x^9-2*q^-4*x^9-2*q^-3*x^9+8*q^-2*x^9-10*q^-1*x^9+4*x^9+2*q^3*x^9+q^-7*x^10+3*q^-5*x^10-3*q^-4*x^10-2*q^-3*x^10+11*q^-2*x^10-13*q^-1*x^10+5*x^10-q^2*x^10+4*q^3*x^10+2*q^4*x^10 10 12 12 Yes 12
12a_1039 [-1, -1, -1, 2, -3, 4, -1, 2, -3, 4, 4, 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] -x^3-6*x^4-2*q^-1*x^5-21*x^5-2*q*x^5-8*q^-2*x^6-12*q^-1*x^6-60*x^6-12*q*x^6-8*q^2*x^6-5*q^-4*x^7-20*q^-3*x^7-46*q^-2*x^7-54*q^-1*x^7-154*x^7-54*q*x^7-46*q^2*x^7-20*q^3*x^7-5*q^4*x^7-12*q^-6*x^8-20*q^-5*x^8-68*q^-4*x^8-124*q^-3*x^8-194*q^-2*x^8-200*q^-1*x^8-396*x^8-200*q*x^8-194*q^2*x^8-124*q^3*x^8-68*q^4*x^8-20*q^5*x^8-12*q^6*x^8-7*q^-9*x^9-26*q^-8*x^9-51*q^-7*x^9-124*q^-6*x^9-205*q^-5*x^9-383*q^-4*x^9-547*q^-3*x^9-702*q^-2*x^9-713*q^-1*x^9-1060*x^9-713*q*x^9-702*q^2*x^9-547*q^3*x^9-383*q^4*x^9-205*q^5*x^9-124*q^6*x^9-51*q^7*x^9-26*q^8*x^9-7*q^9*x^9-16*q^-12*x^10-28*q^-11*x^10-80*q^-10*x^10-158*q^-9*x^10-312*q^-8*x^10-472*q^-7*x^10-806*q^-6*x^10-1134*q^-5*x^10-1676*q^-4*x^10-2084*q^-3*x^10-2450*q^-2*x^10-2478*q^-1*x^10-3088*x^10-2478*q*x^10-2450*q^2*x^10-2084*q^3*x^10-1676*q^4*x^10-1134*q^5*x^10-806*q^6*x^10-472*q^7*x^10-312*q^8*x^10-158*q^9*x^10-80*q^10*x^10-28*q^11*x^10-16*q^12*x^10 10 12 12 Yes 12
12a_1045 [-1, 2, 3, -4, -1, 2, -3, 2, 2, 2, 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+q^3*x^5-q^-1*x^6-22*x^6-48*q*x^6-89*q^2*x^6+7*q^3*x^6+3*q^4*x^6-3*q^-3*x^7-21*q^-2*x^7-67*q^-1*x^7-163*x^7-211*q*x^7-236*q^2*x^7+29*q^3*x^7+21*q^4*x^7+10*q^5*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^8-522*q^-1*x^8-762*x^8-701*q*x^8-544*q^2*x^8+120*q^3*x^8+110*q^4*x^8+68*q^5*x^8+24*q^6*x^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^9-383*q^-5*x^9-779*q^-4*x^9-1252*q^-3*x^9-2022*q^-2*x^9-2544*q^-1*x^9-2697*x^9-1920*q*x^9-1023*q^2*x^9+528*q^3*x^9+514*q^4*x^9+356*q^5*x^9+168*q^6*x^9+34*q^7*x^9-8*q^8*x^9-6*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^10-398*q^-9*x^10-822*q^-8*x^10-1472*q^-7*x^10-2549*q^-6*x^10-3873*q^-5*x^10-5844*q^-4*x^10-7623*q^-3*x^10-9395*q^-2*x^10-9358*q^-1*x^10-7791*x^10-4192*q*x^10-1019*q^2*x^10+2378*q^3*x^10+2267*q^4*x^10+1619*q^5*x^10+861*q^6*x^10+249*q^7*x^10-3*q^8*x^10-74*q^9*x^10-30*q^10*x^10-15*q^11*x^10 10 14 14 Yes 12
12a_1047 [1, -2, -2, -2, -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] -q^-1*x^4-3*q^-1*x^5+2*q^-2*x^6-6*q^-1*x^6+2*x^6+q^-3*x^7+6*q^-2*x^7-11*q^-1*x^7+6*x^7+2*q*x^7+2*q^-3*x^8+11*q^-2*x^8-22*q^-1*x^8+11*x^8+5*q*x^8-q^-6*x^9+q^-5*x^9-q^-4*x^9+3*q^-3*x^9+17*q^-2*x^9-41*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-q^-8*x^10-3*q^-6*x^10+4*q^-5*x^10-2*q^-4*x^10+6*q^-3*x^10+25*q^-2*x^10-67*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_1049 [-1, 2, 3, -1, 3, -2, 3, 4, -2, -2, -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^-1*x^3-8*q^-1*x^4-4*q^-2*x^5-36*q^-1*x^5-5*x^5-q^-4*x^6-15*q^-3*x^6-31*q^-2*x^6-134*q^-1*x^6-39*x^6-13*q*x^6-q^2*x^6-3*q^-6*x^7-15*q^-5*x^7-46*q^-4*x^7-119*q^-3*x^7-184*q^-2*x^7-455*q^-1*x^7-217*x^7-107*q*x^7-36*q^2*x^7-15*q^3*x^7-3*q^4*x^7-3*q^-9*x^8-10*q^-8*x^8-42*q^-7*x^8-82*q^-6*x^8-209*q^-5*x^8-390*q^-4*x^8-697*q^-3*x^8-905*q^-2*x^8-1561*q^-1*x^8-995*x^8-631*q*x^8-307*q^2*x^8-178*q^3*x^8-79*q^4*x^8-42*q^5*x^8-10*q^6*x^8-3*q^7*x^8-q^-13*x^9-8*q^-12*x^9-20*q^-11*x^9-56*q^-10*x^9-135*q^-9*x^9-262*q^-8*x^9-544*q^-7*x^9-900*q^-6*x^9-1581*q^-5*x^9-2418*q^-4*x^9-3483*q^-3*x^9-4153*q^-2*x^9-5570*q^-1*x^9-4283*x^9-3124*q*x^9-1917*q^2*x^9-1259*q^3*x^9-770*q^4*x^9-508*q^5*x^9-253*q^6*x^9-134*q^7*x^9-56*q^8*x^9-20*q^9*x^9-8*q^10*x^9-q^11*x^9-3*q^-17*x^10-9*q^-16*x^10-30*q^-15*x^10-61*q^-14*x^10-151*q^-13*x^10-284*q^-12*x^10-567*q^-11*x^10-1011*q^-10*x^10-1792*q^-9*x^10-2819*q^-8*x^10-4553*q^-7*x^10-6538*q^-6*x^10-9579*q^-5*x^10-12805*q^-4*x^10-16315*q^-3*x^10-18268*q^-2*x^10-21120*q^-1*x^10-17981*x^10-14430*q*x^10-10207*q^2*x^10-7393*q^3*x^10-5162*q^4*x^10-3866*q^5*x^10-2525*q^6*x^10-1659*q^7*x^10-964*q^8*x^10-546*q^9*x^10-280*q^10*x^10-151*q^11*x^10-61*q^12*x^10-30*q^13*x^10-9*q^14*x^10-3*q^15*x^10 10 14 14 Yes 12
12a_1050 [1, -2, -3, 4, -3, 2, -3, 2, 4, 3, 1, -2, 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^3-7*x^4+3*q^-1*x^5-28*x^5-2*q*x^5+5*q^-2*x^6+21*q^-1*x^6-85*x^6-14*q*x^6-3*q^2*x^6-q^-3*x^7+32*q^-2*x^7+84*q^-1*x^7-211*x^7-60*q*x^7-22*q^2*x^7-3*q^3*x^7-2*q^4*x^7-5*q^-5*x^8-9*q^-4*x^8-17*q^-3*x^8+111*q^-2*x^8+265*q^-1*x^8-452*x^8-191*q*x^8-100*q^2*x^8-21*q^3*x^8-16*q^4*x^8-4*q^5*x^8-4*q^6*x^8-7*q^-7*x^9+5*q^-6*x^9-35*q^-5*x^9-78*q^-4*x^9-128*q^-3*x^9+286*q^-2*x^9+702*q^-1*x^9-848*x^9-510*q*x^9-348*q^2*x^9-97*q^3*x^9-61*q^4*x^9-26*q^5*x^9-34*q^6*x^9-9*q^7*x^9-6*q^8*x^9-2*q^9*x^9-4*q^-9*x^10+4*q^-8*x^10-13*q^-7*x^10+81*q^-6*x^10-130*q^-5*x^10-393*q^-4*x^10-580*q^-3*x^10+539*q^-2*x^10+1631*q^-1*x^10-1414*x^10-1199*q*x^10-1050*q^2*x^10-379*q^3*x^10-174*q^4*x^10-57*q^5*x^10-139*q^6*x^10-67*q^7*x^10-55*q^8*x^10-29*q^9*x^10-12*q^10*x^10-4*q^11*x^10-4*q^12*x^10 10 14 14 Yes 12
12a_1051 [1, -2, 1, 1, 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+2*q^3*x^6+x^7+3*q*x^7-11*q^2*x^7+6*q^3*x^7+q^4*x^7-q^-1*x^8+3*x^8+4*q*x^8-20*q^2*x^8+12*q^3*x^8+2*q^4*x^8-q^-3*x^9-3*q^-2*x^9-3*q^-1*x^9+5*x^9+3*q*x^9-34*q^2*x^9+21*q^3*x^9+4*q^4*x^9-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^10-4*q^-1*x^10+11*x^10-q*x^10-51*q^2*x^10+35*q^3*x^10+8*q^4*x^10-2*q^5*x^10-4*q^7*x^10-q^9*x^10 10 12 12 Yes 12
12a_1054 [-1, 2, -1, -2, -3, -3, 4, -3, 2, -3, 2, -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, 1, 1, 1, -1] -q^-1*x^3-8*q^-1*x^4-3*q^-2*x^5-36*q^-1*x^5-5*x^5-q^-4*x^6-11*q^-3*x^6-23*q^-2*x^6-132*q^-1*x^6-39*x^6-13*q*x^6-q^2*x^6-3*q^-6*x^7-12*q^-5*x^7-34*q^-4*x^7-86*q^-3*x^7-136*q^-2*x^7-434*q^-1*x^7-211*x^7-107*q*x^7-36*q^2*x^7-15*q^3*x^7-3*q^4*x^7-3*q^-9*x^8-9*q^-8*x^8-33*q^-7*x^8-63*q^-6*x^8-153*q^-5*x^8-276*q^-4*x^8-491*q^-3*x^8-661*q^-2*x^8-1411*q^-1*x^8-928*x^8-611*q*x^8-302*q^2*x^8-178*q^3*x^8-79*q^4*x^8-42*q^5*x^8-10*q^6*x^8-3*q^7*x^8-q^-13*x^9-8*q^-12*x^9-17*q^-11*x^9-44*q^-10*x^9-104*q^-9*x^9-197*q^-8*x^9-397*q^-7*x^9-630*q^-6*x^9-1084*q^-5*x^9-1640*q^-4*x^9-2392*q^-3*x^9-2970*q^-2*x^9-4710*q^-1*x^9-3776*x^9-2883*q*x^9-1810*q^2*x^9-1220*q^3*x^9-755*q^4*x^9-507*q^5*x^9-253*q^6*x^9-134*q^7*x^9-56*q^8*x^9-20*q^9*x^9-8*q^10*x^9-q^11*x^9-3*q^-17*x^10-9*q^-16*x^10-27*q^-15*x^10-49*q^-14*x^10-115*q^-13*x^10-214*q^-12*x^10-417*q^-11*x^10-730*q^-10*x^10-1271*q^-9*x^10-1944*q^-8*x^10-3062*q^-7*x^10-4267*q^-6*x^10-6216*q^-5*x^10-8349*q^-4*x^10-10882*q^-3*x^10-12708*q^-2*x^10-16626*q^-1*x^10-14883*x^10-12540*q*x^10-9118*q^2*x^10-6800*q^3*x^10-4850*q^4*x^10-3730*q^5*x^10-2468*q^6*x^10-1643*q^7*x^10-961*q^8*x^10-546*q^9*x^10-280*q^10*x^10-151*q^11*x^10-61*q^12*x^10-30*q^13*x^10-9*q^14*x^10-3*q^15*x^10 10 16 16 Yes 12
12a_1065 [1, -2, 3, -2, 3, -4, 3, -2, 4, 1, -2, 3, -2, 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^3-7*x^4+5*q^-1*x^5-28*x^5-2*q*x^5+13*q^-2*x^6+35*q^-1*x^6-81*x^6-14*q*x^6-3*q^2*x^6+q^-4*x^7+12*q^-3*x^7+80*q^-2*x^7+157*q^-1*x^7-179*x^7-51*q*x^7-22*q^2*x^7-3*q^3*x^7-2*q^4*x^7+2*q^-6*x^8-17*q^-5*x^8-4*q^-4*x^8+39*q^-3*x^8+311*q^-2*x^8+547*q^-1*x^8-277*x^8-116*q*x^8-81*q^2*x^8-19*q^3*x^8-16*q^4*x^8-4*q^5*x^8-4*q^6*x^8+q^-9*x^9+2*q^-8*x^9-31*q^-7*x^9-41*q^-6*x^9-158*q^-5*x^9-157*q^-4*x^9-8*q^-3*x^9+883*q^-2*x^9+1609*q^-1*x^9-150*x^9-107*q*x^9-182*q^2*x^9-44*q^3*x^9-52*q^4*x^9-22*q^5*x^9-34*q^6*x^9-9*q^7*x^9-6*q^8*x^9-2*q^9*x^9+2*q^-12*x^10-q^-10*x^10-24*q^-9*x^10-51*q^-8*x^10-262*q^-7*x^10-343*q^-6*x^10-941*q^-5*x^10-1120*q^-4*x^10-734*q^-3*x^10+1847*q^-2*x^10+4021*q^-1*x^10+835*x^10+384*q*x^10-171*q^2*x^10+20*q^3*x^10-22*q^4*x^10+q^5*x^10-120*q^6*x^10-59*q^7*x^10-53*q^8*x^10-29*q^9*x^10-12*q^10*x^10-4*q^11*x^10-4*q^12*x^10 10 14 14 Yes 12
12a_1067 [1, -2, 3, 3, -4, 3, -2, 4, 1, -2, 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] -q*x^3-7*q*x^4+3*x^5-28*q*x^5-q^2*x^5+13*q^-1*x^6+21*x^6-83*q*x^6-7*q^2*x^6-3*q^3*x^6+q^-3*x^7+25*q^-2*x^7+87*q^-1*x^7+95*x^7-200*q*x^7-23*q^2*x^7-20*q^3*x^7-7*q^4*x^7-2*q^5*x^7+2*q^-5*x^8-14*q^-4*x^8+23*q^-3*x^8+152*q^-2*x^8+365*q^-1*x^8+337*x^8-387*q*x^8-42*q^2*x^8-62*q^3*x^8-44*q^4*x^8-25*q^5*x^8-5*q^6*x^8-4*q^7*x^8+q^-8*x^9+2*q^-7*x^9-35*q^-6*x^9-63*q^-5*x^9-147*q^-4*x^9+52*q^-3*x^9+555*q^-2*x^9+1176*q^-1*x^9+1047*x^9-559*q*x^9+42*q^2*x^9-86*q^3*x^9-126*q^4*x^9-123*q^5*x^9-44*q^6*x^9-33*q^7*x^9-9*q^8*x^9-6*q^9*x^9-2*q^10*x^9+2*q^-11*x^10-2*q^-9*x^10-50*q^-8*x^10-117*q^-7*x^10-408*q^-6*x^10-692*q^-5*x^10-1020*q^-4*x^10-204*q^-3*x^10+1433*q^-2*x^10+3140*q^-1*x^10+2857*x^10-323*q*x^10+656*q^2*x^10+238*q^3*x^10-106*q^4*x^10-310*q^5*x^10-185*q^6*x^10-145*q^7*x^10-55*q^8*x^10-50*q^9*x^10-26*q^10*x^10-12*q^11*x^10-4*q^12*x^10-4*q^13*x^10 10 14 14 Yes 12
12a_1070 [-1, 2, 3, -4, -1, -2, 3, -4, 3, 2, 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^3-7*q*x^4-2*x^5-28*q*x^5+3*q^2*x^5-3*q^-1*x^6-14*x^6-82*q*x^6+21*q^2*x^6+7*q^3*x^6-4*q^-3*x^7-4*q^-2*x^7-20*q^-1*x^7-49*x^7-190*q*x^7+94*q^2*x^7+46*q^3*x^7+7*q^4*x^7-10*q^-5*x^8-17*q^-4*x^8-31*q^-3*x^8-12*q^-2*x^8-55*q^-1*x^8-111*x^8-340*q*x^8+330*q^2*x^8+187*q^3*x^8+36*q^4*x^8+3*q^5*x^8-8*q^6*x^8-6*q^-8*x^9-22*q^-7*x^9-47*q^-6*x^9-111*q^-5*x^9-97*q^-4*x^9-54*q^-3*x^9+63*q^-2*x^9-50*q^-1*x^9-117*x^9-419*q*x^9+980*q^2*x^9+571*q^3*x^9+93*q^4*x^9-18*q^5*x^9-58*q^6*x^9-16*q^7*x^9-14*q^8*x^9-14*q^-11*x^10-24*q^-10*x^10-66*q^-9*x^10-145*q^-8*x^10-265*q^-7*x^10-359*q^-6*x^10-429*q^-5*x^10-54*q^-4*x^10+326*q^-3*x^10+617*q^-2*x^10+269*q^-1*x^10+186*x^10-118*q*x^10+2468*q^2*x^10+1352*q^3*x^10+41*q^4*x^10-249*q^5*x^10-315*q^6*x^10-124*q^7*x^10-113*q^8*x^10-25*q^9*x^10-13*q^10*x^10 10 14 14 Yes 12
12a_1074 [-1, 2, 3, -4, -1, 3, -2, 3, -4, 3, 2, 2, 2, 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^2*x^3-7*q^2*x^4-7*q*x^5-28*q^2*x^5+3*q^3*x^5-q^-1*x^6-22*x^6-48*q*x^6-83*q^2*x^6+21*q^3*x^6+5*q^4*x^6-3*q^-3*x^7-21*q^-2*x^7-67*q^-1*x^7-162*x^7-187*q*x^7-181*q^2*x^7+94*q^3*x^7+32*q^4*x^7+6*q^5*x^7-3*q^-6*x^8-11*q^-5*x^8-60*q^-4*x^8-119*q^-3*x^8-299*q^-2*x^8-497*q^-1*x^8-660*x^8-468*q*x^8-244*q^2*x^8+353*q^3*x^8+137*q^4*x^8+32*q^5*x^8+13*q^6*x^8-5*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^9-380*q^-5*x^9-765*q^-4*x^9-1173*q^-3*x^9-1811*q^-2*x^9-2008*q^-1*x^9-1718*x^9-605*q*x^9+168*q^2*x^9+1172*q^3*x^9+474*q^4*x^9+130*q^5*x^9+64*q^6*x^9-11*q^7*x^9-11*q^8*x^9-10*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^10-397*q^-9*x^10-813*q^-8*x^10-1440*q^-7*x^10-2437*q^-6*x^10-3553*q^-5*x^10-5094*q^-4*x^10-6056*q^-3*x^10-6586*q^-2*x^10-4977*q^-1*x^10-2302*x^10+1124*q*x^10+2551*q^2*x^10+3488*q^3*x^10+1424*q^4*x^10+427*q^5*x^10+219*q^6*x^10-44*q^7*x^10-60*q^8*x^10-101*q^9*x^10-27*q^10*x^10-12*q^11*x^10 10 14 14 Yes 12
12a_1076 [-1, 2, 3, -4, -1, -2, 3, -4, -4, 3, 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^3-7*x^4-q^-1*x^5-28*x^5+2*q*x^5-4*q^-2*x^6-7*q^-1*x^6-84*x^6+14*q*x^6+8*q^2*x^6-4*q^-4*x^7-13*q^-3*x^7-25*q^-2*x^7-26*q^-1*x^7-208*x^7+62*q*x^7+55*q^2*x^7+15*q^3*x^7-10*q^-6*x^8-17*q^-5*x^8-54*q^-4*x^8-76*q^-3*x^8-83*q^-2*x^8-64*q^-1*x^8-431*x^8+218*q*x^8+234*q^2*x^8+98*q^3*x^8+18*q^4*x^8-9*q^5*x^8-6*q^-9*x^9-22*q^-8*x^9-43*q^-7*x^9-102*q^-6*x^9-148*q^-5*x^9-253*q^-4*x^9-234*q^-3*x^9-161*q^-2*x^9-61*q^-1*x^9-732*x^9+684*q*x^9+774*q^2*x^9+390*q^3*x^9+92*q^4*x^9-51*q^5*x^9-32*q^6*x^9-19*q^7*x^9-14*q^-12*x^10-24*q^-11*x^10-66*q^-10*x^10-134*q^-9*x^10-244*q^-8*x^10-316*q^-7*x^10-501*q^-6*x^10-580*q^-5*x^10-674*q^-4*x^10-364*q^-3*x^10+16*q^-2*x^10+298*q^-1*x^10-856*x^10+1940*q*x^10+2181*q^2*x^10+1166*q^3*x^10+246*q^4*x^10-290*q^5*x^10-242*q^6*x^10-197*q^7*x^10-54*q^8*x^10-23*q^9*x^10 10 14 14 Yes 12
12a_1080 [-1, -4, 3, 2, 2, 3, 3, -4, 3, -2, 3, -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+3*q^3*x^5-q^-1*x^6-22*x^6-48*q*x^6-83*q^2*x^6+21*q^3*x^6+3*q^4*x^6-3*q^-3*x^7-21*q^-2*x^7-67*q^-1*x^7-162*x^7-187*q*x^7-181*q^2*x^7+92*q^3*x^7+18*q^4*x^7-4*q^5*x^7-3*q^-6*x^8-11*q^-5*x^8-60*q^-4*x^8-119*q^-3*x^8-299*q^-2*x^8-497*q^-1*x^8-660*x^8-468*q*x^8-251*q^2*x^8+325*q^3*x^8+62*q^4*x^8-34*q^5*x^8-11*q^6*x^8-3*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^9-380*q^-5*x^9-765*q^-4*x^9-1173*q^-3*x^9-1811*q^-2*x^9-2008*q^-1*x^9-1724*x^9-633*q*x^9+65*q^2*x^9+950*q^3*x^9+112*q^4*x^9-188*q^5*x^9-83*q^6*x^9-34*q^7*x^9+6*q^8*x^9-4*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^10-397*q^-9*x^10-813*q^-8*x^10-1440*q^-7*x^10-2437*q^-6*x^10-3553*q^-5*x^10-5094*q^-4*x^10-6057*q^-3*x^10-6604*q^-2*x^10-5032*q^-1*x^10-2475*x^10+698*q*x^10+1690*q^2*x^10+2179*q^3*x^10-174*q^4*x^10-864*q^5*x^10-412*q^6*x^10-159*q^7*x^10+25*q^8*x^10-3*q^9*x^10+2*q^10*x^10-2*q^11*x^10 10 14 14 Yes 12
12a_1081 [-1, 3, -4, 3, -4, 3, 2, -3, -4, 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^3-7*x^4-q^-1*x^5-28*x^5-2*q*x^5-4*q^-2*x^6-7*q^-1*x^6-86*x^6-14*q*x^6-8*q^2*x^6-4*q^-4*x^7-13*q^-3*x^7-25*q^-2*x^7-30*q^-1*x^7-226*x^7-62*q*x^7-54*q^2*x^7-23*q^3*x^7-5*q^4*x^7-10*q^-6*x^8-17*q^-5*x^8-54*q^-4*x^8-83*q^-3*x^8-100*q^-2*x^8-103*q^-1*x^8-538*x^8-218*q*x^8-233*q^2*x^8-160*q^3*x^8-85*q^4*x^8-21*q^5*x^8-12*q^6*x^8-6*q^-9*x^9-22*q^-8*x^9-43*q^-7*x^9-102*q^-6*x^9-166*q^-5*x^9-297*q^-4*x^9-342*q^-3*x^9-332*q^-2*x^9-319*q^-1*x^9-1215*x^9-672*q*x^9-805*q^2*x^9-708*q^3*x^9-517*q^4*x^9-253*q^5*x^9-141*q^6*x^9-53*q^7*x^9-26*q^8*x^9-7*q^9*x^9-14*q^-12*x^10-24*q^-11*x^10-66*q^-10*x^10-134*q^-9*x^10-255*q^-8*x^10-366*q^-7*x^10-617*q^-6*x^10-857*q^-5*x^10-1183*q^-4*x^10-1178*q^-3*x^10-1042*q^-2*x^10-984*q^-1*x^10-2723*x^10-1934*q*x^10-2461*q^2*x^10-2498*q^3*x^10-2202*q^4*x^10-1467*q^5*x^10-984*q^6*x^10-533*q^7*x^10-349*q^8*x^10-170*q^9*x^10-81*q^10*x^10-28*q^11*x^10-16*q^12*x^10 10 14 14 Yes 12
12a_1082 [-1, 2, 3, -1, 3, 3, 2, 2, 2, -3, 2, -4, 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+2*q^3*x^5-q^-1*x^6-22*x^6-48*q*x^6-86*q^2*x^6+14*q^3*x^6+2*q^4*x^6-3*q^-3*x^7-21*q^-2*x^7-67*q^-1*x^7-162*x^7-199*q*x^7-209*q^2*x^7+60*q^3*x^7+13*q^4*x^7-2*q^5*x^7-3*q^-6*x^8-11*q^-5*x^8-60*q^-4*x^8-119*q^-3*x^8-299*q^-2*x^8-506*q^-1*x^8-709*x^8-587*q*x^8-402*q^2*x^8+214*q^3*x^8+53*q^4*x^8-17*q^5*x^8-7*q^6*x^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^9-380*q^-5*x^9-766*q^-4*x^9-1200*q^-3*x^9-1896*q^-2*x^9-2262*q^-1*x^9-2217*x^9-1298*q*x^9-515*q^2*x^9+666*q^3*x^9+150*q^4*x^9-90*q^5*x^9-52*q^6*x^9-21*q^7*x^9+5*q^8*x^9-2*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^10-397*q^-9*x^10-813*q^-8*x^10-1443*q^-7*x^10-2463*q^-6*x^10-3657*q^-5*x^10-5384*q^-4*x^10-6741*q^-3*x^10-7934*q^-2*x^10-7207*q^-1*x^10-5224*x^10-1897*q*x^10+69*q^2*x^10+1790*q^3*x^10+258*q^4*x^10-418*q^5*x^10-267*q^6*x^10-118*q^7*x^10+14*q^8*x^10+4*q^9*x^10-q^10*x^10-3*q^11*x^10 10 14 14 Yes 12
12a_1084 [1, -4, 3, 2, 2, -4, 2, -3, 2, 2, 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^6-7*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^7-49*q^3*x^7-45*q^4*x^7-18*q^5*x^7-5*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^8-776*q^2*x^8-265*q^3*x^8-235*q^4*x^8-129*q^5*x^8-68*q^6*x^8-21*q^7*x^8-12*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^9-3128*x^9-2821*q*x^9-2439*q^2*x^9-1287*q^3*x^9-1087*q^4*x^9-712*q^5*x^9-447*q^6*x^9-242*q^7*x^9-137*q^8*x^9-52*q^9*x^9-26*q^10*x^9-7*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^10-8124*q^-3*x^10-10467*q^-2*x^10-11507*q^-1*x^10-11589*x^10-10003*q*x^10-8486*q^2*x^10-5758*q^3*x^10-4819*q^4*x^10-3473*q^5*x^10-2459*q^6*x^10-1604*q^7*x^10-1061*q^8*x^10-577*q^9*x^10-349*q^10*x^10-165*q^11*x^10-80*q^12*x^10-28*q^13*x^10-16*q^14*x^10 10 14 14 Yes 12
12a_1087 [1, -4, 3, -4, 2, -3, 2, -3, -3, 2, 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] -x^3-7*x^4-q^-1*x^5-28*x^5-2*q*x^5-4*q^-2*x^6-7*q^-1*x^6-88*x^6-14*q*x^6-8*q^2*x^6-4*q^-4*x^7-13*q^-3*x^7-25*q^-2*x^7-36*q^-1*x^7-240*x^7-68*q*x^7-54*q^2*x^7-23*q^3*x^7-5*q^4*x^7-10*q^-6*x^8-17*q^-5*x^8-54*q^-4*x^8-83*q^-3*x^8-112*q^-2*x^8-147*q^-1*x^8-614*x^8-260*q*x^8-249*q^2*x^8-164*q^3*x^8-85*q^4*x^8-21*q^5*x^8-12*q^6*x^8-6*q^-9*x^9-22*q^-8*x^9-43*q^-7*x^9-102*q^-6*x^9-166*q^-5*x^9-296*q^-4*x^9-366*q^-3*x^9-431*q^-2*x^9-547*q^-1*x^9-1534*x^9-899*q*x^9-933*q^2*x^9-774*q^3*x^9-543*q^4*x^9-263*q^5*x^9-141*q^6*x^9-53*q^7*x^9-26*q^8*x^9-7*q^9*x^9-14*q^-12*x^10-24*q^-11*x^10-66*q^-10*x^10-134*q^-9*x^10-255*q^-8*x^10-366*q^-7*x^10-620*q^-6*x^10-869*q^-5*x^10-1243*q^-4*x^10-1395*q^-3*x^10-1581*q^-2*x^10-1929*q^-1*x^10-3934*x^10-2925*q*x^10-3183*q^2*x^10-2983*q^3*x^10-2506*q^4*x^10-1628*q^5*x^10-1054*q^6*x^10-561*q^7*x^10-355*q^8*x^10-170*q^9*x^10-81*q^10*x^10-28*q^11*x^10-16*q^12*x^10 10 14 14 Yes 12
12a_1088 [1, -2, 1, 2, 3, -4, -4, 3, -2, -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, -1, -1, -1, 1] -x^3-8*x^4-4*q^-1*x^5-36*x^5-3*q*x^5-q^-3*x^6-14*q^-2*x^6-31*q^-1*x^6-130*x^6-23*q*x^6-9*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^7-168*q^-1*x^7-416*x^7-126*q*x^7-69*q^2*x^7-30*q^3*x^7-12*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^8-376*q^-3*x^8-596*q^-2*x^8-740*q^-1*x^8-1286*x^8-561*q*x^8-374*q^2*x^8-229*q^3*x^8-145*q^4*x^8-63*q^5*x^8-33*q^6*x^8-9*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^9-533*q^-6*x^9-892*q^-5*x^9-1529*q^-4*x^9-2094*q^-3*x^9-2683*q^-2*x^9-2980*q^-1*x^9-4008*x^9-2303*q*x^9-1716*q^2*x^9-1257*q^3*x^9-959*q^4*x^9-594*q^5*x^9-375*q^6*x^9-191*q^7*x^9-103*q^8*x^9-44*q^9*x^9-17*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^10-983*q^-9*x^10-1715*q^-8*x^10-2631*q^-7*x^10-4217*q^-6*x^10-5944*q^-5*x^10-8209*q^-4*x^10-9766*q^-3*x^10-11116*q^-2*x^10-11486*q^-1*x^10-13083*x^10-9122*q*x^10-7384*q^2*x^10-5965*q^3*x^10-5025*q^4*x^10-3726*q^5*x^10-2728*q^6*x^10-1751*q^7*x^10-1170*q^8*x^10-687*q^9*x^10-399*q^10*x^10-210*q^11*x^10-115*q^12*x^10-49*q^13*x^10-27*q^14*x^10-9*q^15*x^10-3*q^16*x^10 10 16 16 Yes 12
12a_1089 [-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] -q^2*x^3-7*q^2*x^4-7*q*x^5-28*q^2*x^5-q^-1*x^6-22*x^6-48*q*x^6-88*q^2*x^6-5*q^4*x^6-3*q^-3*x^7-21*q^-2*x^7-67*q^-1*x^7-162*x^7-206*q*x^7-237*q^2*x^7-12*q^3*x^7-31*q^4*x^7-16*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^8-299*q^-2*x^8-512*q^-1*x^8-737*x^8-690*q*x^8-612*q^2*x^8-104*q^3*x^8-161*q^4*x^8-108*q^5*x^8-56*q^6*x^8-17*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^9-380*q^-5*x^9-767*q^-4*x^9-1218*q^-3*x^9-1951*q^-2*x^9-2435*q^-1*x^9-2632*x^9-2108*q*x^9-1660*q^2*x^9-639*q^3*x^9-746*q^4*x^9-560*q^5*x^9-348*q^6*x^9-189*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^10-397*q^-9*x^10-813*q^-8*x^10-1446*q^-7*x^10-2482*q^-6*x^10-3731*q^-5*x^10-5579*q^-4*x^10-7240*q^-3*x^10-8958*q^-2*x^10-9191*q^-1*x^10-8500*x^10-6506*q*x^10-5199*q^2*x^10-3228*q^3*x^10-3280*q^4*x^10-2563*q^5*x^10-1798*q^6*x^10-1170*q^7*x^10-773*q^8*x^10-432*q^9*x^10-272*q^10*x^10-132*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_1092 [1, -2, 1, 2, 3, -4, 3, -4, 3, -2, -2, -3, 2, -4, 2, 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, -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^6-15*q^2*x^6-9*q^3*x^6-q^4*x^6-3*q^-4*x^7-15*q^-3*x^7-36*q^-2*x^7-106*q^-1*x^7-201*x^7-406*q*x^7-88*q^2*x^7-67*q^3*x^7-34*q^4*x^7-12*q^5*x^7-3*q^6*x^7-3*q^-7*x^8-10*q^-6*x^8-42*q^-5*x^8-79*q^-4*x^8-175*q^-3*x^8-290*q^-2*x^8-572*q^-1*x^8-827*x^8-1223*q*x^8-423*q^2*x^8-366*q^3*x^8-257*q^4*x^8-158*q^5*x^8-66*q^6*x^8-33*q^7*x^8-9*q^8*x^8-3*q^9*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^9-250*q^-6*x^9-495*q^-5*x^9-717*q^-4*x^9-1133*q^-3*x^9-1613*q^-2*x^9-2493*q^-1*x^9-3071*x^9-3695*q*x^9-1870*q^2*x^9-1718*q^3*x^9-1424*q^4*x^9-1063*q^5*x^9-657*q^6*x^9-401*q^7*x^9-200*q^8*x^9-104*q^9*x^9-44*q^10*x^9-17*q^11*x^9-8*q^12*x^9-q^13*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^10-279*q^-10*x^10-537*q^-9*x^10-935*q^-8*x^10-1575*q^-7*x^10-2313*q^-6*x^10-3415*q^-5*x^10-4257*q^-4*x^10-5776*q^-3*x^10-7404*q^-2*x^10-9807*q^-1*x^10-10909*x^10-11701*q*x^10-7839*q^2*x^10-7545*q^3*x^10-6794*q^4*x^10-5694*q^5*x^10-4206*q^6*x^10-3055*q^7*x^10-1947*q^8*x^10-1268*q^9*x^10-727*q^10*x^10-417*q^11*x^10-214*q^12*x^10-115*q^13*x^10-49*q^14*x^10-27*q^15*x^10-9*q^16*x^10-3*q^17*x^10 10 16 16 Yes 12
12a_1093 [1, -2, -3, 4, 1, -2, 4, 3, -2, -3, 4, 4, -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^3-7*q*x^4-2*x^5-28*q*x^5-q^2*x^5-3*q^-1*x^6-14*x^6-86*q*x^6-7*q^2*x^6-7*q^3*x^6-4*q^-3*x^7-4*q^-2*x^7-20*q^-1*x^7-57*x^7-226*q*x^7-36*q^2*x^7-45*q^3*x^7-21*q^4*x^7-5*q^5*x^7-10*q^-5*x^8-17*q^-4*x^8-31*q^-3*x^8-19*q^-2*x^8-72*q^-1*x^8-180*x^8-541*q*x^8-148*q^2*x^8-202*q^3*x^8-140*q^4*x^8-76*q^5*x^8-22*q^6*x^8-12*q^7*x^8-6*q^-8*x^9-22*q^-7*x^9-47*q^-6*x^9-111*q^-5*x^9-115*q^-4*x^9-98*q^-3*x^9-26*q^-2*x^9-196*q^-1*x^9-484*x^9-1228*q*x^9-536*q^2*x^9-740*q^3*x^9-635*q^4*x^9-445*q^5*x^9-242*q^6*x^9-142*q^7*x^9-54*q^8*x^9-26*q^9*x^9-7*q^10*x^9-14*q^-11*x^10-24*q^-10*x^10-66*q^-9*x^10-145*q^-8*x^10-276*q^-7*x^10-409*q^-6*x^10-555*q^-5*x^10-354*q^-4*x^10-115*q^-3*x^10+80*q^-2*x^10-426*q^-1*x^10-1179*x^10-2726*q*x^10-1725*q^2*x^10-2417*q^3*x^10-2335*q^4*x^10-1929*q^5*x^10-1349*q^6*x^10-982*q^7*x^10-558*q^8*x^10-353*q^9*x^10-170*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_1096 [1, -2, -3, 1, -3, 4, 2, -3, 4, -3, -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^-1*x^3-7*q^-1*x^4+3*q^-2*x^5-28*q^-1*x^5-2*x^5+7*q^-3*x^6+21*q^-2*x^6-84*q^-1*x^6-14*x^6-3*q*x^6+7*q^-4*x^7+46*q^-3*x^7+90*q^-2*x^7-204*q^-1*x^7-57*x^7-20*q*x^7-4*q^2*x^7-4*q^3*x^7-8*q^-6*x^8+3*q^-5*x^8+36*q^-4*x^8+187*q^-3*x^8+308*q^-2*x^8-412*q^-1*x^8-167*x^8-79*q*x^8-16*q^2*x^8-31*q^3*x^8-17*q^4*x^8-10*q^5*x^8-14*q^-8*x^9-16*q^-7*x^9-58*q^-6*x^9-14*q^-5*x^9+109*q^-4*x^9+593*q^-3*x^9+912*q^-2*x^9-674*q^-1*x^9-386*x^9-225*q*x^9-17*q^2*x^9-77*q^3*x^9-107*q^4*x^9-111*q^5*x^9-47*q^6*x^9-22*q^7*x^9-6*q^8*x^9-13*q^-10*x^10-25*q^-9*x^10-113*q^-8*x^10-120*q^-7*x^10-312*q^-6*x^10-191*q^-5*x^10+208*q^-4*x^10+1577*q^-3*x^10+2420*q^-2*x^10-786*q^-1*x^10-720*x^10-529*q*x^10+111*q^2*x^10+55*q^3*x^10-184*q^4*x^10-488*q^5*x^10-386*q^6*x^10-271*q^7*x^10-145*q^8*x^10-66*q^9*x^10-24*q^10*x^10-14*q^11*x^10 10 14 14 Yes 12
12a_1102 [-1, -3, 4, 2, -3, 2, -1, 2, -3, 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^3-7*x^4+q^-1*x^5-28*x^5+q*x^5+3*q^-2*x^6+7*q^-1*x^6-86*x^6+7*q*x^6+3*q^2*x^6-q^-4*x^7+q^-3*x^7+22*q^-2*x^7+24*q^-1*x^7-225*x^7+24*q*x^7+22*q^2*x^7+q^3*x^7-q^4*x^7-2*q^-6*x^8-8*q^-5*x^8-15*q^-4*x^8+13*q^-3*x^8+86*q^-2*x^8+54*q^-1*x^8-539*x^8+54*q*x^8+86*q^2*x^8+13*q^3*x^8-15*q^4*x^8-8*q^5*x^8-2*q^6*x^8-q^-9*x^9-3*q^-8*x^9-13*q^-7*x^9-27*q^-6*x^9-75*q^-5*x^9-69*q^-4*x^9+64*q^-3*x^9+255*q^-2*x^9+63*q^-1*x^9-1230*x^9+63*q*x^9+255*q^2*x^9+64*q^3*x^9-69*q^4*x^9-75*q^5*x^9-27*q^6*x^9-13*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^10-18*q^-9*x^10-31*q^-8*x^10-82*q^-7*x^10-176*q^-6*x^10-346*q^-5*x^10-210*q^-4*x^10+258*q^-3*x^10+634*q^-2*x^10-76*q^-1*x^10-2736*x^10-76*q*x^10+634*q^2*x^10+258*q^3*x^10-210*q^4*x^10-346*q^5*x^10-176*q^6*x^10-82*q^7*x^10-31*q^8*x^10-18*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_1104 [1, -4, -3, 2, -3, -3, 2, -3, -3, 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] -q^-1*x^3-7*q^-1*x^4-q^-2*x^5-28*q^-1*x^5-2*x^5-7*q^-3*x^6-7*q^-2*x^6-88*q^-1*x^6-14*x^6-3*q*x^6-5*q^-5*x^7-21*q^-4*x^7-45*q^-3*x^7-40*q^-2*x^7-240*q^-1*x^7-65*x^7-20*q*x^7-4*q^2*x^7-4*q^3*x^7-12*q^-7*x^8-22*q^-6*x^8-76*q^-5*x^8-140*q^-4*x^8-208*q^-3*x^8-178*q^-2*x^8-615*q^-1*x^8-236*x^8-96*q*x^8-23*q^2*x^8-31*q^3*x^8-17*q^4*x^8-10*q^5*x^8-7*q^-10*x^9-26*q^-9*x^9-54*q^-8*x^9-142*q^-7*x^9-242*q^-6*x^9-447*q^-5*x^9-653*q^-4*x^9-798*q^-3*x^9-694*q^-2*x^9-1535*q^-1*x^9-769*x^9-373*q*x^9-106*q^2*x^9-121*q^3*x^9-125*q^4*x^9-111*q^5*x^9-47*q^6*x^9-22*q^7*x^9-6*q^8*x^9-16*q^-13*x^10-28*q^-12*x^10-81*q^-11*x^10-170*q^-10*x^10-353*q^-9*x^10-558*q^-8*x^10-990*q^-7*x^10-1378*q^-6*x^10-2011*q^-5*x^10-2520*q^-4*x^10-2788*q^-3*x^10-2427*q^-2*x^10-3872*q^-1*x^10-2337*x^10-1320*q*x^10-456*q^2*x^10-392*q^3*x^10-484*q^4*x^10-614*q^5*x^10-436*q^6*x^10-282*q^7*x^10-145*q^8*x^10-66*q^9*x^10-24*q^10*x^10-14*q^11*x^10 10 14 14 Yes 12
12a_1105 [-1, 2, -3, 4, 2, -1, 2, -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] -x^3-7*x^4+q^-1*x^5-28*x^5+q*x^5+3*q^-2*x^6+7*q^-1*x^6-82*x^6+7*q*x^6+3*q^2*x^6-q^-4*x^7+q^-3*x^7+22*q^-2*x^7+36*q^-1*x^7-197*x^7+36*q*x^7+22*q^2*x^7+q^3*x^7-q^4*x^7-2*q^-6*x^8-8*q^-5*x^8-15*q^-4*x^8+13*q^-3*x^8+107*q^-2*x^8+134*q^-1*x^8-393*x^8+134*q*x^8+107*q^2*x^8+13*q^3*x^8-15*q^4*x^8-8*q^5*x^8-2*q^6*x^8-q^-9*x^9-3*q^-8*x^9-13*q^-7*x^9-27*q^-6*x^9-75*q^-5*x^9-77*q^-4*x^9+84*q^-3*x^9+386*q^-2*x^9+426*q^-1*x^9-678*x^9+426*q*x^9+386*q^2*x^9+84*q^3*x^9-77*q^4*x^9-75*q^5*x^9-27*q^6*x^9-13*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^10-18*q^-9*x^10-31*q^-8*x^10-82*q^-7*x^10-186*q^-6*x^10-374*q^-5*x^10-248*q^-4*x^10+342*q^-3*x^10+1151*q^-2*x^10+1129*q^-1*x^10-1020*x^10+1129*q*x^10+1151*q^2*x^10+342*q^3*x^10-248*q^4*x^10-374*q^5*x^10-186*q^6*x^10-82*q^7*x^10-31*q^8*x^10-18*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_1114 [1, -2, -2, -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^-3*x^4-3*q^-3*x^5+3*q^-4*x^6-6*q^-3*x^6+2*q^-5*x^7+9*q^-4*x^7-9*q^-3*x^7+q^-1*x^7+3*q^-5*x^8+20*q^-4*x^8-12*q^-3*x^8+3*q^-1*x^8+3*x^8-2*q^-8*x^9-4*q^-6*x^9+3*q^-5*x^9+33*q^-4*x^9-13*q^-3*x^9-3*q^-2*x^9+3*q^-1*x^9+9*x^9+6*q*x^9-2*q^-10*x^10-7*q^-8*x^10-3*q^-7*x^10-14*q^-6*x^10-4*q^-5*x^10+48*q^-4*x^10-14*q^-3*x^10-9*q^-2*x^10-8*q^-1*x^10+9*x^10+17*q*x^10+10*q^2*x^10-q^4*x^10 10 12 12 Yes 12
12a_1120 [1, -2, -2, -2, -2, -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^-1*x^4-3*q^-1*x^5+q^-2*x^6-6*q^-1*x^6+2*x^6+3*q^-2*x^7-10*q^-1*x^7+6*x^7+2*q*x^7+6*q^-2*x^8-17*q^-1*x^8+13*x^8+5*q*x^8+10*q^-2*x^9-26*q^-1*x^9+21*x^9+10*q*x^9-2*q^2*x^9+q^3*x^9-2*q^4*x^9-q^-6*x^10+16*q^-2*x^10-38*q^-1*x^10+32*x^10+16*q*x^10-7*q^2*x^10+q^3*x^10-3*q^4*x^10-2*q^6*x^10 10 12 12 Yes 12
12a_1122 [1, -3, 4, -3, 2, -3, 1, -3, 2, 4, -3, 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, 1, -1, 1, -1] -x^3-7*x^4+4*q^-1*x^5-28*x^5-2*q*x^5+11*q^-2*x^6+28*q^-1*x^6-83*x^6-14*q*x^6-3*q^2*x^6+q^-4*x^7+13*q^-3*x^7+70*q^-2*x^7+125*q^-1*x^7-195*x^7-55*q*x^7-22*q^2*x^7-3*q^3*x^7-2*q^4*x^7+2*q^-6*x^8-12*q^-5*x^8+7*q^-4*x^8+62*q^-3*x^8+288*q^-2*x^8+442*q^-1*x^8-355*x^8-150*q*x^8-88*q^2*x^8-20*q^3*x^8-16*q^4*x^8-4*q^5*x^8-4*q^6*x^8+q^-9*x^9+2*q^-8*x^9-25*q^-7*x^9-32*q^-6*x^9-105*q^-5*x^9-45*q^-4*x^9+171*q^-3*x^9+912*q^-2*x^9+1360*q^-1*x^9-420*x^9-274*q*x^9-244*q^2*x^9-62*q^3*x^9-56*q^4*x^9-24*q^5*x^9-34*q^6*x^9-9*q^7*x^9-6*q^8*x^9-2*q^9*x^9+2*q^-12*x^10-q^-10*x^10-26*q^-9*x^10-56*q^-8*x^10-240*q^-7*x^10-295*q^-6*x^10-655*q^-5*x^10-512*q^-4*x^10+193*q^-3*x^10+2388*q^-2*x^10+3711*q^-1*x^10+164*x^10-190*q*x^10-474*q^2*x^10-100*q^3*x^10-65*q^4*x^10-24*q^5*x^10-129*q^6*x^10-63*q^7*x^10-54*q^8*x^10-29*q^9*x^10-12*q^10*x^10-4*q^11*x^10-4*q^12*x^10 10 14 14 Yes 12
12a_1123 [-1, 2, -1, -2, -3, 4, -2, 4, 3, 2, -3, 2, -3, 4, -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, 1, -1, 1, -1] -x^3-8*x^4-3*q^-1*x^5-36*x^5-3*q*x^5-q^-3*x^6-9*q^-2*x^6-23*q^-1*x^6-128*x^6-23*q*x^6-9*q^2*x^6-q^3*x^6-3*q^-5*x^7-12*q^-4*x^7-30*q^-3*x^7-69*q^-2*x^7-120*q^-1*x^7-397*x^7-120*q*x^7-69*q^2*x^7-30*q^3*x^7-12*q^4*x^7-3*q^5*x^7-3*q^-8*x^8-9*q^-7*x^8-33*q^-6*x^8-63*q^-5*x^8-145*q^-4*x^8-224*q^-3*x^8-354*q^-2*x^8-502*q^-1*x^8-1155*x^8-502*q*x^8-354*q^2*x^8-224*q^3*x^8-145*q^4*x^8-63*q^5*x^8-33*q^6*x^8-9*q^7*x^8-3*q^8*x^8-q^-12*x^9-8*q^-11*x^9-17*q^-10*x^9-44*q^-9*x^9-103*q^-8*x^9-191*q^-7*x^9-374*q^-6*x^9-579*q^-5*x^9-921*q^-4*x^9-1154*q^-3*x^9-1498*q^-2*x^9-1878*q^-1*x^9-3287*x^9-1878*q*x^9-1498*q^2*x^9-1154*q^3*x^9-921*q^4*x^9-579*q^5*x^9-374*q^6*x^9-191*q^7*x^9-103*q^8*x^9-44*q^9*x^9-17*q^10*x^9-8*q^11*x^9-q^12*x^9-3*q^-16*x^10-9*q^-15*x^10-27*q^-14*x^10-49*q^-13*x^10-115*q^-12*x^10-210*q^-11*x^10-399*q^-10*x^10-684*q^-9*x^10-1154*q^-8*x^10-1696*q^-7*x^10-2599*q^-6*x^10-3436*q^-5*x^10-4470*q^-4*x^10-4979*q^-3*x^10-5770*q^-2*x^10-6638*q^-1*x^10-9476*x^10-6638*q*x^10-5770*q^2*x^10-4979*q^3*x^10-4470*q^4*x^10-3436*q^5*x^10-2599*q^6*x^10-1696*q^7*x^10-1154*q^8*x^10-684*q^9*x^10-399*q^10*x^10-210*q^11*x^10-115*q^12*x^10-49*q^13*x^10-27*q^14*x^10-9*q^15*x^10-3*q^16*x^10 10 16 16 Yes 12
12a_1124 [-1, 2, 3, -4, 5, 6, -1, -2, 3, -4, -5, -2, -3, 4, 6, 5] [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, -1, 1, 1, -1] -x^2-12*x^3-14*q^-1*x^4-78*x^4-14*q*x^4-2*q^-3*x^5-50*q^-2*x^5-166*q^-1*x^5-419*x^5-166*q*x^5-50*q^2*x^5-2*q^3*x^5-6*q^-5*x^6-51*q^-4*x^6-189*q^-3*x^6-666*q^-2*x^6-1334*q^-1*x^6-2197*x^6-1334*q*x^6-666*q^2*x^6-189*q^3*x^6-51*q^4*x^6-6*q^5*x^6-6*q^-8*x^7-24*q^-7*x^7-156*q^-6*x^7-382*q^-5*x^7-1180*q^-4*x^7-2810*q^-3*x^7-5964*q^-2*x^7-9294*q^-1*x^7-12150*x^7-9294*q*x^7-5964*q^2*x^7-2810*q^3*x^7-1180*q^4*x^7-382*q^5*x^7-156*q^6*x^7-24*q^7*x^7-6*q^8*x^7-2*q^-12*x^8-16*q^-11*x^8-52*q^-10*x^8-194*q^-9*x^8-588*q^-8*x^8-1387*q^-7*x^8-3513*q^-6*x^8-7229*q^-5*x^8-15320*q^-4*x^8-28010*q^-3*x^8-45841*q^-2*x^8-61762*q^-1*x^8-71578*x^8-61762*q*x^8-45841*q^2*x^8-28010*q^3*x^8-15320*q^4*x^8-7229*q^5*x^8-3513*q^6*x^8-1387*q^7*x^8-588*q^8*x^8-194*q^9*x^8-52*q^10*x^8-16*q^11*x^8-2*q^12*x^8-6*q^-16*x^9-18*q^-15*x^9-72*q^-14*x^9-176*q^-13*x^9-570*q^-12*x^9-1286*q^-11*x^9-3054*q^-10*x^9-6574*q^-9*x^9-13817*q^-8*x^9-26526*q^-7*x^9-50783*q^-6*x^9-89503*q^-5*x^9-152540*q^-4*x^9-235214*q^-3*x^9-330341*q^-2*x^9-406310*q^-1*x^9-443267*x^9-406310*q*x^9-330341*q^2*x^9-235214*q^3*x^9-152540*q^4*x^9-89503*q^5*x^9-50783*q^6*x^9-26526*q^7*x^9-13817*q^8*x^9-6574*q^9*x^9-3054*q^10*x^9-1286*q^11*x^9-570*q^12*x^9-176*q^13*x^9-72*q^14*x^9-18*q^15*x^9-6*q^16*x^9-6*q^-21*x^10-18*q^-20*x^10-60*q^-19*x^10-162*q^-18*x^10-378*q^-17*x^10-941*q^-16*x^10-2149*q^-15*x^10-4586*q^-14*x^10-9285*q^-13*x^10-19017*q^-12*x^10-35725*q^-11*x^10-66901*q^-10*x^10-119745*q^-9*x^10-209782*q^-8*x^10-351334*q^-7*x^10-574937*q^-6*x^10-891779*q^-5*x^10-1320705*q^-4*x^10-1816638*q^-3*x^10-2315923*q^-2*x^10-2685939*q^-1*x^10-2840464*x^10-2685939*q*x^10-2315923*q^2*x^10-1816638*q^3*x^10-1320705*q^4*x^10-891779*q^5*x^10-574937*q^6*x^10-351334*q^7*x^10-209782*q^8*x^10-119745*q^9*x^10-66901*q^10*x^10-35725*q^11*x^10-19017*q^12*x^10-9285*q^13*x^10-4586*q^14*x^10-2149*q^15*x^10-941*q^16*x^10-378*q^17*x^10-162*q^18*x^10-60*q^19*x^10-18*q^20*x^10-6*q^21*x^10 10 16 16 Yes 12
12a_1128 [1, -2, -2, -2, -2, -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^-1*x^4-2*q^-1*x^5+q^-2*x^6-3*q^-1*x^6+x^6+2*q^-2*x^7-4*q^-1*x^7+2*x^7+3*q^-2*x^8-6*q^-1*x^8+3*x^8+4*q^-2*x^9-8*q^-1*x^9+4*x^9+2*q^3*x^9+5*q^-2*x^10-10*q^-1*x^10+5*x^10+4*q^3*x^10+2*q^4*x^10 10 12 12 Yes 12
12a_1134 [1, -2, 1, 1, 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+q^3*x^6+2*q*x^7-4*q^2*x^7+2*q^3*x^7-2*q^-1*x^8+3*q*x^8-6*q^2*x^8+3*q^3*x^8-2*q^-2*x^9-4*q^-1*x^9+4*q*x^9-8*q^2*x^9+4*q^3*x^9+2*q^-4*x^10-2*q^-3*x^10-4*q^-2*x^10-6*q^-1*x^10+2*x^10+5*q*x^10-10*q^2*x^10+5*q^3*x^10 10 12 12 Yes 12
12a_1141 [1, -2, 3, -4, 1, 2, -3, 2, 2, 2, 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*x^3-7*q*x^4-2*x^5-28*q*x^5-4*q^2*x^5-3*q^-1*x^6-14*x^6-92*q*x^6-27*q^2*x^6-15*q^3*x^6-q^4*x^6-4*q^-3*x^7-4*q^-2*x^7-20*q^-1*x^7-71*x^7-271*q*x^7-134*q^2*x^7-103*q^3*x^7-44*q^4*x^7-15*q^5*x^7-3*q^6*x^7-10*q^-5*x^8-17*q^-4*x^8-31*q^-3*x^8-27*q^-2*x^8-104*q^-1*x^8-283*x^8-779*q*x^8-542*q^2*x^8-504*q^3*x^8-318*q^4*x^8-190*q^5*x^8-79*q^6*x^8-42*q^7*x^8-10*q^8*x^8-3*q^9*x^8-6*q^-8*x^9-22*q^-7*x^9-47*q^-6*x^9-111*q^-5*x^9-135*q^-4*x^9-147*q^-3*x^9-147*q^-2*x^9-437*q^-1*x^9-1022*x^9-2228*q*x^9-1997*q^2*x^9-2052*q^3*x^9-1634*q^4*x^9-1217*q^5*x^9-762*q^6*x^9-490*q^7*x^9-249*q^8*x^9-132*q^9*x^9-56*q^10*x^9-20*q^11*x^9-8*q^12*x^9-q^13*x^9-14*q^-11*x^10-24*q^-10*x^10-66*q^-9*x^10-145*q^-8*x^10-288*q^-7*x^10-464*q^-6*x^10-691*q^-5*x^10-666*q^-4*x^10-626*q^-3*x^10-689*q^-2*x^10-1681*q^-1*x^10-3444*x^10-6488*q*x^10-6872*q^2*x^10-7620*q^3*x^10-6981*q^4*x^10-6036*q^5*x^10-4617*q^6*x^10-3529*q^7*x^10-2332*q^8*x^10-1569*q^9*x^10-926*q^10*x^10-538*q^11*x^10-275*q^12*x^10-150*q^13*x^10-61*q^14*x^10-30*q^15*x^10-9*q^16*x^10-3*q^17*x^10 10 14 14 Yes 12
12a_1150 [1, -4, 3, -4, 2, -3, 2, 2, 2, -3, -3, 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] -x^3-7*x^4-q^-1*x^5-28*x^5-4*q*x^5-4*q^-2*x^6-7*q^-1*x^6-90*x^6-27*q*x^6-15*q^2*x^6-q^3*x^6-4*q^-4*x^7-13*q^-3*x^7-25*q^-2*x^7-39*q^-1*x^7-254*x^7-127*q*x^7-102*q^2*x^7-47*q^3*x^7-15*q^4*x^7-3*q^5*x^7-10*q^-6*x^8-17*q^-5*x^8-54*q^-4*x^8-88*q^-3*x^8-122*q^-2*x^8-169*q^-1*x^8-686*x^8-477*q*x^8-475*q^2*x^8-328*q^3*x^8-197*q^4*x^8-79*q^5*x^8-42*q^6*x^8-10*q^7*x^8-3*q^8*x^8-6*q^-9*x^9-22*q^-8*x^9-43*q^-7*x^9-102*q^-6*x^9-178*q^-5*x^9-326*q^-4*x^9-430*q^-3*x^9-519*q^-2*x^9-683*q^-1*x^9-1841*x^9-1631*q*x^9-1804*q^2*x^9-1571*q^3*x^9-1223*q^4*x^9-754*q^5*x^9-478*q^6*x^9-246*q^7*x^9-132*q^8*x^9-56*q^9*x^9-20*q^10*x^9-8*q^11*x^9-q^12*x^9-14*q^-12*x^10-24*q^-11*x^10-66*q^-10*x^10-134*q^-9*x^10-262*q^-8*x^10-398*q^-7*x^10-694*q^-6*x^10-1041*q^-5*x^10-1548*q^-4*x^10-1853*q^-3*x^10-2142*q^-2*x^10-2646*q^-1*x^10-5177*x^10-5314*q*x^10-6244*q^2*x^10-6193*q^3*x^10-5676*q^4*x^10-4386*q^5*x^10-3334*q^6*x^10-2210*q^7*x^10-1513*q^8*x^10-901*q^9*x^10-529*q^10*x^10-274*q^11*x^10-150*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
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