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.
|
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 |
|---|---|---|---|---|---|---|---|---|
| 12n_555 | [1, -2, -3, -4, 3, -4, -3, -2, -1, -1, 2, 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, -1, -1, -1, 1, 1, 1, 1, -1] | -q^-1*x^2-8*q^-1*x^3-4*q^-2*x^4-36*q^-1*x^4+x^4-8*q^-3*x^5-32*q^-2*x^5-120*q^-1*x^5+8*x^5+16*q*x^5-4*q^-5*x^6-12*q^-4*x^6-70*q^-3*x^6-144*q^-2*x^6-326*q^-1*x^6+68*x^6+128*q*x^6+64*q^2*x^6-8*q^-7*x^7-8*q^-6*x^7-48*q^-5*x^7-120*q^-4*x^7-336*q^-3*x^7-472*q^-2*x^7-672*q^-1*x^7+440*x^7+736*q*x^7+512*q^2*x^7+160*q^3*x^7-16*q^4*x^7-4*q^-10*x^8-12*q^-9*x^8-16*q^-8*x^8-76*q^-7*x^8-96*q^-6*x^8-332*q^-5*x^8-624*q^-4*x^8-1132*q^-3*x^8-1018*q^-2*x^8-644*q^-1*x^8+2458*x^8+3456*q*x^8+2751*q^2*x^8+1236*q^3*x^8+138*q^4*x^8-172*q^5*x^8-81*q^6*x^8-8*q^-13*x^9-8*q^-12*x^9-24*q^-11*x^9-56*q^-10*x^9-120*q^-9*x^9-168*q^-8*x^9-456*q^-7*x^9-656*q^-6*x^9-1488*q^-5*x^9-2112*q^-4*x^9-2391*q^-3*x^9-192*q^-2*x^9+3376*q^-1*x^9+11640*x^9+14432*q*x^9+11728*q^2*x^9+6008*q^3*x^9+872*q^4*x^9-1400*q^5*x^9-1528*q^6*x^9-648*q^7*x^9-216*q^8*x^9-4*q^-17*x^10-12*q^-16*x^10-16*q^-15*x^10-28*q^-14*x^10-100*q^-13*x^10-108*q^-12*x^10-240*q^-11*x^10-404*q^-10*x^10-742*q^-9*x^10-1000*q^-8*x^10-2046*q^-7*x^10-2728*q^-6*x^10-4321*q^-5*x^10-3476*q^-4*x^10+744*q^-3*x^10+12704*q^-2*x^10+27873*q^-1*x^10+48688*x^10+53768*q*x^10+42416*q^2*x^10+20976*q^3*x^10+508*q^4*x^10-10884*q^5*x^10-12956*q^6*x^10-8919*q^7*x^10-4440*q^8*x^10-1386*q^9*x^10-324*q^10*x^10+81*q^11*x^10 | 10 | 16 | 16 | Yes | 12 |
| 12n_558 | [1, -2, 1, 2, 3, 4, 4, 3, 2, 2, -3, 4, -3, -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, 1, -1, -1, 1] | -q*x^2-2*q*x^3+x^4-3*q*x^4+4*q^2*x^4+4*q^-1*x^5+2*x^5-4*q*x^5+9*q^2*x^5+q^3*x^5-q^4*x^5+6*q^-2*x^6+9*q^-1*x^6-2*x^6-10*q*x^6+14*q^2*x^6-q^3*x^6-9*q^4*x^6-3*q^5*x^6-q^6*x^6-4*q^-4*x^7+6*q^-3*x^7+14*q^-2*x^7+2*q^-1*x^7-25*x^7-24*q*x^7+19*q^2*x^7-3*q^3*x^7-23*q^4*x^7-7*q^5*x^7-2*q^6*x^7+q^7*x^7+2*q^8*x^7-9*q^-6*x^8-12*q^-5*x^8-4*q^-4*x^8+19*q^-3*x^8+9*q^-2*x^8-35*q^-1*x^8-70*x^8-31*q*x^8+48*q^2*x^8+15*q^3*x^8-31*q^4*x^8-3*q^5*x^8+9*q^6*x^8+18*q^7*x^8+8*q^8*x^8+7*q^9*x^8+4*q^10*x^8+2*q^11*x^8-10*q^-8*x^9-22*q^-7*x^9-42*q^-6*x^9-12*q^-5*x^9+30*q^-4*x^9+47*q^-3*x^9-17*q^-2*x^9-102*q^-1*x^9-98*x^9+26*q*x^9+160*q^2*x^9+86*q^3*x^9-22*q^4*x^9+4*q^5*x^9+30*q^6*x^9+51*q^7*x^9+17*q^8*x^9+10*q^9*x^9+6*q^10*x^9+2*q^11*x^9-q^12*x^9-4*q^13*x^9-q^14*x^9-q^15*x^9+9*q^-11*x^10-4*q^-10*x^10-17*q^-9*x^10-58*q^-8*x^10-65*q^-7*x^10-21*q^-6*x^10+108*q^-5*x^10+163*q^-4*x^10+97*q^-3*x^10-85*q^-2*x^10-180*q^-1*x^10-58*x^10+222*q*x^10+392*q^2*x^10+189*q^3*x^10-67*q^4*x^10-77*q^5*x^10-17*q^6*x^10+49*q^7*x^10-12*q^8*x^10-37*q^9*x^10-38*q^10*x^10-31*q^11*x^10-15*q^12*x^10-20*q^13*x^10-16*q^14*x^10-13*q^15*x^10-8*q^16*x^10-6*q^17*x^10-q^18*x^10-q^19*x^10 | 10 | 16 | 16 | Yes | 12 |
| 12a_561 | [1, -2, 3, 1, 3, 1, -2, 3, -4, 3, -2, 3, 3, 4] | [-1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1] | -q^2*x^3-6*q^2*x^4+q*x^5-21*q^2*x^5+3*q^3*x^5+8*x^6+6*q*x^6-56*q^2*x^6+18*q^3*x^6+6*q^4*x^6+24*q^-1*x^7+48*x^7+21*q*x^7-129*q^2*x^7+63*q^3*x^7+33*q^4*x^7+6*q^5*x^7-8*q^-3*x^8+48*q^-2*x^8+144*q^-1*x^8+168*x^8+32*q*x^8-282*q^2*x^8+162*q^3*x^8+108*q^4*x^8+24*q^5*x^8+6*q^6*x^8-6*q^7*x^8-27*q^-5*x^9-51*q^-4*x^9+23*q^-3*x^9+287*q^-2*x^9+504*q^-1*x^9+376*x^9-66*q*x^9-645*q^2*x^9+321*q^3*x^9+267*q^4*x^9+55*q^5*x^9+12*q^6*x^9-30*q^7*x^9-9*q^8*x^9-9*q^9*x^9-54*q^-7*x^10-144*q^-6*x^10-342*q^-5*x^10-234*q^-4*x^10+252*q^-3*x^10+1026*q^-2*x^10+1212*q^-1*x^10+468*x^10-684*q*x^10-1572*q^2*x^10+480*q^3*x^10+546*q^4*x^10+96*q^5*x^10-6*q^6*x^10-126*q^7*x^10-36*q^8*x^10-66*q^9*x^10-12*q^10*x^10-6*q^11*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12a_565 | [-1, -3, -4, 3, 2, -3, -4, 2, -4, -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] | -q^-2*x^3-6*q^-2*x^4+q^-3*x^5-21*q^-2*x^5+q^-1*x^5+6*q^-3*x^6-56*q^-2*x^6+6*q^-1*x^6+8*x^6-q^-6*x^7-3*q^-5*x^7+q^-4*x^7+21*q^-3*x^7-127*q^-2*x^7+25*q^-1*x^7+48*x^7+24*q*x^7-2*q^-8*x^8-4*q^-7*x^8-10*q^-6*x^8-14*q^-5*x^8+6*q^-4*x^8+56*q^-3*x^8-254*q^-2*x^8+72*q^-1*x^8+184*x^8+144*q*x^8+48*q^2*x^8-8*q^3*x^8-q^-11*x^9-3*q^-10*x^9-7*q^-9*x^9-16*q^-8*x^9-27*q^-7*x^9-35*q^-6*x^9-39*q^-5*x^9+28*q^-4*x^9+135*q^-3*x^9-467*q^-2*x^9+178*q^-1*x^9+520*x^9+540*q*x^9+283*q^2*x^9+23*q^3*x^9-51*q^4*x^9-27*q^5*x^9-2*q^-14*x^10-2*q^-13*x^10-6*q^-12*x^10-14*q^-11*x^10-28*q^-10*x^10-44*q^-9*x^10-66*q^-8*x^10-82*q^-7*x^10-72*q^-6*x^10-60*q^-5*x^10+120*q^-4*x^10+322*q^-3*x^10-782*q^-2*x^10+372*q^-1*x^10+1236*x^10+1506*q*x^10+1036*q^2*x^10+206*q^3*x^10-252*q^4*x^10-342*q^5*x^10-144*q^6*x^10-54*q^7*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12a_569 | [-1, 2, -3, -4, -1, -2, -4, -4, -4, 3, -2, -4, 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, 1, -1] | -q^-2*x^3-6*q^-2*x^4-q^-3*x^5-21*q^-2*x^5+q^-1*x^5-4*q^-4*x^6-6*q^-3*x^6-56*q^-2*x^6+6*q^-1*x^6+8*x^6-2*q^-6*x^7-6*q^-5*x^7-23*q^-4*x^7-21*q^-3*x^7-125*q^-2*x^7+29*q^-1*x^7+48*x^7+24*q*x^7-4*q^-8*x^8-4*q^-7*x^8-18*q^-6*x^8-36*q^-5*x^8-78*q^-4*x^8-52*q^-3*x^8-228*q^-2*x^8+112*q^-1*x^8+200*x^8+144*q*x^8+48*q^2*x^8-8*q^3*x^8-2*q^-11*x^9-6*q^-10*x^9-8*q^-9*x^9-30*q^-8*x^9-32*q^-7*x^9-82*q^-6*x^9-123*q^-5*x^9-189*q^-4*x^9-63*q^-3*x^9-301*q^-2*x^9+416*q^-1*x^9+664*x^9+576*q*x^9+279*q^2*x^9+23*q^3*x^9-51*q^4*x^9-27*q^5*x^9-4*q^-14*x^10-4*q^-13*x^10-12*q^-12*x^10-24*q^-11*x^10-48*q^-10*x^10-58*q^-9*x^10-134*q^-8*x^10-136*q^-7*x^10-238*q^-6*x^10-276*q^-5*x^10-280*q^-4*x^10+160*q^-3*x^10-6*q^-2*x^10+1408*q^-1*x^10+1994*x^10+1802*q*x^10+1046*q^2*x^10+160*q^3*x^10-270*q^4*x^10-342*q^5*x^10-144*q^6*x^10-54*q^7*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_570 | [-1, -2, -2, -2, -2, -2, -2, -1, -1, 2, 2, 2] | [-1, -1, -1, 1, -1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1, 1, 1, -1, 1, -1, -1, -1] | -q^-2*x^3-2*q^-2*x^4+q^-3*x^5-3*q^-2*x^5+q^-1*x^5+q*x^5+2*q^-3*x^6-4*q^-2*x^6+2*q^-1*x^6+2*q*x^6+2*q^2*x^6+3*q^-3*x^7-6*q^-2*x^7+3*q^-1*x^7-x^7+2*q*x^7+4*q^2*x^7+2*q^3*x^7-q^4*x^7-q^7*x^7+q^-6*x^8+4*q^-3*x^8-8*q^-2*x^8+4*q^-1*x^8-2*x^8+6*q^2*x^8+4*q^3*x^8-2*q^5*x^8-2*q^7*x^8-2*q^8*x^8-2*q^9*x^8+2*q^-6*x^9+5*q^-3*x^9-10*q^-2*x^9+5*q^-1*x^9-2*x^9-2*q*x^9+6*q^2*x^9+7*q^3*x^9+2*q^4*x^9-2*q^5*x^9-q^6*x^9-2*q^7*x^9-3*q^8*x^9-7*q^9*x^9-3*q^10*x^9-2*q^11*x^9+q^12*x^9+q^16*x^9-q^-9*x^10+4*q^-6*x^10-q^-5*x^10+5*q^-3*x^10-13*q^-2*x^10+6*q^-1*x^10-2*x^10-4*q*x^10+6*q^2*x^10+8*q^3*x^10+6*q^4*x^10-2*q^5*x^10-2*q^7*x^10-10*q^9*x^10-10*q^10*x^10-8*q^11*x^10+2*q^14*x^10+2*q^16*x^10+2*q^17*x^10+2*q^18*x^10+2*q^19*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_571 | [1, -2, -2, -2, -2, -2, -2, 1, 1, 2, 2, 2] | [1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1] | -q^-1*x^3-2*q^-1*x^4+q^-2*x^5-3*q^-1*x^5+2*q^-2*x^6-4*q^-1*x^6+3*q^-2*x^7-5*q^-1*x^7-x^7-q^-7*x^8+4*q^-2*x^8-6*q^-1*x^8-2*x^8-2*q*x^8-2*q^-8*x^9-2*q^-7*x^9+5*q^-2*x^9-6*q^-1*x^9-3*x^9-4*q*x^9-3*q^2*x^9+q^-10*x^10-2*q^-9*x^10-4*q^-8*x^10-3*q^-7*x^10+6*q^-2*x^10-6*q^-1*x^10-2*x^10-6*q*x^10-6*q^2*x^10-4*q^3*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_574 | [1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2] | [-1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1] | -q^5*x^4+2*q^7*x^7-q^8*x^8+2*q^9*x^9-4*q^10*x^10-q^11*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12a_576 | [1, -2, -2, -2, -2, -2, -2, 1, 1, -2, -2, -2] | [1, 1, -1, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1] | -q^-3*x^4-2*q^-3*x^5+2*q^-4*x^6-3*q^-3*x^6+q^-2*x^6+4*q^-4*x^7-4*q^-3*x^7+2*q^-2*x^7+2*q^-1*x^7-q^-6*x^8-q^-5*x^8+6*q^-4*x^8-7*q^-3*x^8+2*q^-2*x^8+4*q^-1*x^8+2*x^8-2*q^-6*x^9-2*q^-5*x^9+8*q^-4*x^9-10*q^-3*x^9-2*q^-2*x^9+4*q^-1*x^9+4*x^9+2*q*x^9-2*q^2*x^9+q^-9*x^10+q^-7*x^10-3*q^-6*x^10-2*q^-5*x^10+12*q^-4*x^10-11*q^-3*x^10-6*q^-2*x^10+4*x^10+5*q*x^10-2*q^2*x^10-3*q^3*x^10-3*q^4*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_577 | [1, -2, 1, -3, 2, -1, 3, 3, 2, 2, 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*x^2-2*q*x^3+q^-4*x^4+q^-2*x^4-3*q*x^4+q^2*x^4+2*q^-5*x^5+2*q^-4*x^5+2*q^-2*x^5-4*q*x^5+2*q^2*x^5+q^3*x^5-q^-14*x^6-q^-11*x^6-q^-10*x^6+2*q^-6*x^6+4*q^-5*x^6+3*q^-4*x^6-q^-3*x^6+3*q^-2*x^6-q^-1*x^6-5*q*x^6+3*q^2*x^6+2*q^3*x^6-2*q^-16*x^7-2*q^-15*x^7-2*q^-14*x^7-2*q^-12*x^7-4*q^-11*x^7-2*q^-10*x^7+2*q^-9*x^7+2*q^-7*x^7+4*q^-6*x^7+6*q^-5*x^7+2*q^-4*x^7-3*q^-3*x^7+3*q^-2*x^7-2*q^-1*x^7-x^7-5*q*x^7+4*q^2*x^7+3*q^3*x^7-q^6*x^7+q^-29*x^8+q^-25*x^8+q^-24*x^8+q^-23*x^8+q^-19*x^8-2*q^-18*x^8-3*q^-17*x^8-8*q^-16*x^8-4*q^-15*x^8-2*q^-14*x^8-q^-13*x^8-7*q^-12*x^8-7*q^-11*x^8+q^-10*x^8+5*q^-9*x^8+2*q^-8*x^8+4*q^-7*x^8+6*q^-6*x^8+6*q^-5*x^8-q^-4*x^8-7*q^-3*x^8+3*q^-2*x^8-3*q^-1*x^8-2*x^8-5*q*x^8+7*q^2*x^8+4*q^3*x^8-2*q^6*x^8-q^8*x^8+2*q^-32*x^9+2*q^-31*x^9+2*q^-30*x^9+2*q^-29*x^9+2*q^-27*x^9+4*q^-26*x^9+6*q^-25*x^9+4*q^-24*x^9-2*q^-22*x^9-10*q^-18*x^9-12*q^-17*x^9-14*q^-16*x^9-2*q^-15*x^9-q^-14*x^9-5*q^-13*x^9-11*q^-12*x^9-4*q^-11*x^9+7*q^-10*x^9+12*q^-9*x^9+2*q^-8*x^9+4*q^-7*x^9+6*q^-6*x^9+4*q^-5*x^9-7*q^-4*x^9-13*q^-3*x^9+3*q^-2*x^9-2*q^-1*x^9-2*x^9-4*q*x^9+10*q^2*x^9+8*q^3*x^9-q^4*x^9-3*q^6*x^9-2*q^8*x^9-q^-49*x^10-q^-44*x^10-q^-43*x^10-q^-42*x^10-q^-41*x^10-q^-37*x^10-q^-36*x^10+q^-35*x^10+3*q^-34*x^10+7*q^-33*x^10+9*q^-32*x^10+7*q^-31*x^10+3*q^-30*x^10+4*q^-29*x^10+4*q^-28*x^10+14*q^-27*x^10+15*q^-26*x^10+11*q^-25*x^10-q^-24*x^10-7*q^-23*x^10-7*q^-22*x^10+q^-21*x^10-2*q^-20*x^10-9*q^-19*x^10-27*q^-18*x^10-19*q^-17*x^10-12*q^-16*x^10+6*q^-15*x^10-q^-14*x^10-8*q^-13*x^10-8*q^-12*x^10+4*q^-11*x^10+19*q^-10*x^10+16*q^-9*x^10-2*q^-8*x^10-2*q^-7*x^10+2*q^-6*x^10-15*q^-4*x^10-21*q^-3*x^10+3*q^-2*x^10+q^-1*x^10+2*x^10-2*q*x^10+14*q^2*x^10+13*q^3*x^10-2*q^5*x^10-5*q^6*x^10-3*q^8*x^10+q^13*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12a_579 | [1, -2, 3, -4, 1, -4, 1, -2, -4, 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^3-6*x^4-2*q^-1*x^5-21*x^5+2*q*x^5-8*q^-2*x^6-12*q^-1*x^6-56*x^6+12*q*x^6+6*q^2*x^6-5*q^-4*x^7-20*q^-3*x^7-46*q^-2*x^7-42*q^-1*x^7-122*x^7+48*q*x^7+35*q^2*x^7+10*q^3*x^7-12*q^-6*x^8-20*q^-5*x^8-68*q^-4*x^8-116*q^-3*x^8-156*q^-2*x^8-96*q^-1*x^8-210*x^8+160*q*x^8+136*q^2*x^8+54*q^3*x^8+14*q^4*x^8-6*q^5*x^8-7*q^-9*x^9-26*q^-8*x^9-51*q^-7*x^9-124*q^-6*x^9-185*q^-5*x^9-331*q^-4*x^9-385*q^-3*x^9-354*q^-2*x^9-104*q^-1*x^9-222*x^9+496*q*x^9+425*q^2*x^9+196*q^3*x^9+60*q^4*x^9-19*q^5*x^9-17*q^6*x^9-12*q^7*x^9-16*q^-12*x^10-28*q^-11*x^10-80*q^-10*x^10-158*q^-9*x^10-300*q^-8*x^10-416*q^-7*x^10-666*q^-6*x^10-792*q^-5*x^10-992*q^-4*x^10-816*q^-3*x^10-424*q^-2*x^10+302*q^-1*x^10+228*x^10+1430*q*x^10+1172*q^2*x^10+544*q^3*x^10+156*q^4*x^10-98*q^5*x^10-94*q^6*x^10-108*q^7*x^10-32*q^8*x^10-14*q^9*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_579 | [-1, 2, 3, -1, 3, -4, 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] | -q^-1*x^2+q^-3*x^3-2*q^-1*x^3-q^-6*x^4-q^-4*x^4+2*q^-3*x^4-2*q^-2*x^4-3*q^-1*x^4+q^-10*x^5+q^-8*x^5+q^-7*x^5-2*q^-4*x^5+2*q^-3*x^5-4*q^-2*x^5-3*q^-1*x^5-q^-15*x^6-q^-13*x^6-q^-12*x^6-3*q^-11*x^6+q^-10*x^6-q^-9*x^6+2*q^-8*x^6+q^-7*x^6-q^-5*x^6-5*q^-4*x^6-q^-3*x^6-6*q^-2*x^6-3*q^-1*x^6+2*x^6+q^-21*x^7+q^-19*x^7+q^-18*x^7+3*q^-17*x^7+2*q^-16*x^7+2*q^-14*x^7+q^-13*x^7-q^-12*x^7-6*q^-11*x^7+3*q^-10*x^7+2*q^-9*x^7+3*q^-8*x^7+q^-7*x^7+q^-6*x^7-4*q^-5*x^7-12*q^-4*x^7-4*q^-3*x^7-6*q^-2*x^7-q^-1*x^7+4*x^7+3*q*x^7-q^-28*x^8-q^-26*x^8-q^-25*x^8-3*q^-24*x^8-2*q^-23*x^8-3*q^-22*x^8-q^-21*x^8-5*q^-20*x^8-2*q^-19*x^8-q^-18*x^8+5*q^-17*x^8-2*q^-16*x^8-q^-15*x^8+3*q^-14*x^8+3*q^-13*x^8-5*q^-12*x^8-12*q^-11*x^8+4*q^-10*x^8+5*q^-9*x^8+q^-8*x^8-2*q^-7*x^8-q^-6*x^8-9*q^-5*x^8-23*q^-4*x^8-9*q^-3*x^8-3*q^-2*x^8+5*q^-1*x^8+8*x^8+6*q*x^8+4*q^2*x^8+q^-36*x^9+q^-34*x^9+q^-33*x^9+3*q^-32*x^9+2*q^-31*x^9+3*q^-30*x^9+4*q^-29*x^9+4*q^-28*x^9+6*q^-27*x^9+4*q^-26*x^9+3*q^-25*x^9+2*q^-24*x^9+2*q^-23*x^9-q^-21*x^9-9*q^-20*x^9-q^-19*x^9+5*q^-18*x^9+12*q^-17*x^9-5*q^-16*x^9-q^-15*x^9+11*q^-14*x^9+9*q^-13*x^9-8*q^-12*x^9-20*q^-11*x^9+3*q^-10*x^9+9*q^-9*x^9+q^-8*x^9-12*q^-7*x^9-10*q^-6*x^9-15*q^-5*x^9-29*q^-4*x^9-8*q^-3*x^9+2*q^-2*x^9+19*q^-1*x^9+18*x^9+11*q*x^9+6*q^2*x^9+5*q^3*x^9-q^-45*x^10-q^-43*x^10-q^-42*x^10-3*q^-41*x^10-2*q^-40*x^10-3*q^-39*x^10-4*q^-38*x^10-7*q^-37*x^10-5*q^-36*x^10-8*q^-35*x^10-6*q^-34*x^10-10*q^-33*x^10-3*q^-32*x^10-9*q^-31*x^10-3*q^-30*x^10-q^-29*x^10+3*q^-28*x^10+2*q^-27*x^10+q^-26*x^10-q^-25*x^10+4*q^-24*x^10+2*q^-23*x^10-5*q^-22*x^10-17*q^-21*x^10-23*q^-20*x^10+q^-19*x^10+15*q^-18*x^10+14*q^-17*x^10-15*q^-16*x^10-2*q^-15*x^10+18*q^-14*x^10+14*q^-13*x^10-14*q^-12*x^10-40*q^-11*x^10-7*q^-10*x^10+9*q^-9*x^10-2*q^-8*x^10-28*q^-7*x^10-31*q^-6*x^10-26*q^-5*x^10-21*q^-4*x^10+9*q^-3*x^10+21*q^-2*x^10+35*q^-1*x^10+37*x^10+22*q*x^10+10*q^2*x^10+6*q^3*x^10+3*q^4*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_582 | [1, -2, -3, -2, 1, -3, 2, -4, 3, 4, 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-x^2+q^-7*x^3+q^-5*x^3-x^3+q^-8*x^4+q^-7*x^4+q^-5*x^4+q^-4*x^4-x^4-q^-21*x^5-q^-18*x^5-q^-17*x^5-q^-13*x^5+q^-11*x^5+q^-8*x^5+2*q^-7*x^5+q^-5*x^5+q^-4*x^5+q^-3*x^5-x^5-q^-23*x^6-q^-22*x^6-q^-21*x^6-q^-19*x^6-2*q^-18*x^6-2*q^-17*x^6-q^-14*x^6-2*q^-13*x^6+q^-11*x^6+q^-10*x^6+q^-8*x^6+2*q^-7*x^6+q^-6*x^6+q^-5*x^6+q^-4*x^6+q^-3*x^6+q^-2*x^6-x^6+q^-42*x^7+q^-38*x^7+q^-37*x^7+q^-36*x^7+q^-32*x^7+q^-31*x^7+q^-30*x^7-q^-29*x^7-q^-28*x^7+q^-26*x^7-q^-24*x^7-3*q^-23*x^7-2*q^-22*x^7-q^-21*x^7-2*q^-19*x^7-4*q^-18*x^7-3*q^-17*x^7-q^-16*x^7-q^-15*x^7-q^-14*x^7-2*q^-13*x^7-q^-12*x^7+q^-10*x^7+q^-9*x^7+q^-8*x^7+2*q^-7*x^7+q^-6*x^7+2*q^-5*x^7+q^-4*x^7+q^-3*x^7+q^-2*x^7+q^-1*x^7-x^7+q^-45*x^8+q^-44*x^8+q^-43*x^8+q^-42*x^8+q^-40*x^8+2*q^-39*x^8+3*q^-38*x^8+3*q^-37*x^8+q^-36*x^8+2*q^-33*x^8+4*q^-32*x^8+3*q^-31*x^8+q^-30*x^8-2*q^-29*x^8-2*q^-28*x^8+2*q^-26*x^8+q^-25*x^8-2*q^-24*x^8-5*q^-23*x^8-4*q^-22*x^8-3*q^-21*x^8-q^-20*x^8-2*q^-19*x^8-4*q^-18*x^8-5*q^-17*x^8-4*q^-16*x^8-3*q^-15*x^8-q^-14*x^8-2*q^-13*x^8-q^-12*x^8-q^-11*x^8+2*q^-8*x^8+2*q^-7*x^8+q^-6*x^8+2*q^-5*x^8+2*q^-4*x^8+q^-3*x^8+q^-2*x^8+q^-1*x^8-q^-70*x^9-q^-65*x^9-q^-64*x^9-q^-63*x^9-q^-62*x^9-q^-58*x^9-q^-57*x^9-2*q^-56*x^9-q^-55*x^9+q^-53*x^9+q^-52*x^9-q^-50*x^9-2*q^-49*x^9+q^-47*x^9+3*q^-46*x^9+4*q^-45*x^9+3*q^-44*x^9+q^-43*x^9+4*q^-40*x^9+7*q^-39*x^9+8*q^-38*x^9+5*q^-37*x^9+2*q^-36*x^9-q^-35*x^9+2*q^-34*x^9+5*q^-33*x^9+8*q^-32*x^9+6*q^-31*x^9+3*q^-30*x^9-2*q^-29*x^9-3*q^-28*x^9-q^-27*x^9+2*q^-26*x^9+q^-25*x^9-5*q^-23*x^9-6*q^-22*x^9-7*q^-21*x^9-4*q^-20*x^9-3*q^-19*x^9-4*q^-18*x^9-6*q^-17*x^9-6*q^-16*x^9-5*q^-15*x^9-4*q^-14*x^9-3*q^-13*x^9-q^-12*x^9-q^-11*x^9-q^-10*x^9-q^-9*x^9+q^-8*x^9+2*q^-7*x^9+q^-6*x^9+2*q^-5*x^9+2*q^-4*x^9+2*q^-3*x^9+q^-2*x^9+q^-1*x^9+q*x^9-q^-74*x^10-q^-73*x^10-q^-72*x^10-q^-71*x^10-q^-70*x^10-q^-68*x^10-2*q^-67*x^10-3*q^-66*x^10-4*q^-65*x^10-4*q^-64*x^10-2*q^-63*x^10-q^-62*x^10-q^-60*x^10-3*q^-59*x^10-6*q^-58*x^10-6*q^-57*x^10-5*q^-56*x^10-q^-55*x^10+2*q^-54*x^10+3*q^-53*x^10+q^-52*x^10-2*q^-51*x^10-6*q^-50*x^10-5*q^-49*x^10+5*q^-47*x^10+9*q^-46*x^10+10*q^-45*x^10+5*q^-44*x^10-q^-42*x^10+2*q^-41*x^10+8*q^-40*x^10+14*q^-39*x^10+15*q^-38*x^10+11*q^-37*x^10+5*q^-36*x^10+2*q^-35*x^10+3*q^-34*x^10+7*q^-33*x^10+11*q^-32*x^10+11*q^-31*x^10+8*q^-30*x^10+2*q^-29*x^10-q^-28*x^10-2*q^-27*x^10-q^-26*x^10+q^-24*x^10-3*q^-23*x^10-6*q^-22*x^10-8*q^-21*x^10-7*q^-20*x^10-7*q^-19*x^10-7*q^-18*x^10-7*q^-17*x^10-6*q^-16*x^10-7*q^-15*x^10-6*q^-14*x^10-6*q^-13*x^10-3*q^-12*x^10-2*q^-11*x^10-q^-10*x^10-2*q^-9*x^10+q^-7*x^10+q^-6*x^10+q^-5*x^10+2*q^-4*x^10+2*q^-3*x^10+2*q^-2*x^10+q^-1*x^10+q*x^10+q^2*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12a_583 | [-1, 2, -3, 4, -1, -3, 4, 4, 4, -3, 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] | -x^3-6*x^4-21*x^5-2*q*x^5-2*q^-2*x^6-58*x^6-12*q*x^6-8*q^2*x^6-q^-4*x^7-7*q^-3*x^7-11*q^-2*x^7-4*q^-1*x^7-138*x^7-48*q*x^7-46*q^2*x^7-20*q^3*x^7-5*q^4*x^7-2*q^-6*x^8-2*q^-5*x^8-18*q^-4*x^8-42*q^-3*x^8-48*q^-2*x^8-26*q^-1*x^8-306*x^8-148*q*x^8-174*q^2*x^8-120*q^3*x^8-68*q^4*x^8-20*q^5*x^8-12*q^6*x^8-q^-9*x^9-3*q^-8*x^9-4*q^-7*x^9-11*q^-6*x^9-32*q^-5*x^9-102*q^-4*x^9-175*q^-3*x^9-179*q^-2*x^9-131*q^-1*x^9-659*x^9-414*q*x^9-524*q^2*x^9-463*q^3*x^9-357*q^4*x^9-195*q^5*x^9-124*q^6*x^9-51*q^7*x^9-26*q^8*x^9-7*q^9*x^9-2*q^-12*x^10-2*q^-11*x^10-6*q^-10*x^10-12*q^-9*x^10-26*q^-8*x^10-26*q^-7*x^10-72*q^-6*x^10-188*q^-5*x^10-422*q^-4*x^10-614*q^-3*x^10-636*q^-2*x^10-544*q^-1*x^10-1480*x^10-1118*q*x^10-1434*q^2*x^10-1438*q^3*x^10-1332*q^4*x^10-964*q^5*x^10-736*q^6*x^10-444*q^7*x^10-306*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_584 | [-1, 2, -3, 4, -1, 4, 4, 4, -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] | -q*x^3-6*q*x^4-21*q*x^5-2*q^2*x^5+2*q^-1*x^6-58*q*x^6-12*q^2*x^6-8*q^3*x^6-q^-3*x^7+5*q^-2*x^7+13*q^-1*x^7-138*q*x^7-48*q^2*x^7-46*q^3*x^7-18*q^4*x^7-5*q^5*x^7-2*q^-5*x^8-6*q^-4*x^8+2*q^-3*x^8+34*q^-2*x^8+54*q^-1*x^8+6*x^8-294*q*x^8-148*q^2*x^8-174*q^3*x^8-108*q^4*x^8-64*q^5*x^8-20*q^6*x^8-12*q^7*x^8-q^-8*x^9-3*q^-7*x^9-13*q^-6*x^9-29*q^-5*x^9-29*q^-4*x^9+34*q^-3*x^9+145*q^-2*x^9+189*q^-1*x^9+57*x^9-555*q*x^9-378*q^2*x^9-516*q^3*x^9-421*q^4*x^9-327*q^5*x^9-191*q^6*x^9-126*q^7*x^9-51*q^8*x^9-26*q^9*x^9-7*q^10*x^9-2*q^-11*x^10-2*q^-10*x^10-6*q^-9*x^10-24*q^-8*x^10-54*q^-7*x^10-120*q^-6*x^10-160*q^-5*x^10-86*q^-4*x^10+170*q^-3*x^10+498*q^-2*x^10+614*q^-1*x^10+322*x^10-866*q*x^10-784*q^2*x^10-1280*q^3*x^10-1270*q^4*x^10-1192*q^5*x^10-912*q^6*x^10-744*q^7*x^10-448*q^8*x^10-306*q^9*x^10-158*q^10*x^10-80*q^11*x^10-28*q^12*x^10-16*q^13*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_584 | [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] | -q*x^2-7*q*x^3-6*x^4-28*q*x^4-17*q^-1*x^5-42*x^5-88*q*x^5-q^2*x^5+q^4*x^5-11*q^-3*x^6-42*q^-2*x^6-129*q^-1*x^6-186*x^6-242*q*x^6-7*q^2*x^6+3*q^3*x^6+2*q^4*x^6+q^5*x^6+2*q^6*x^6-27*q^-5*x^7-50*q^-4*x^7-173*q^-3*x^7-358*q^-2*x^7-617*q^-1*x^7-658*x^7-616*q*x^7-27*q^2*x^7+23*q^3*x^7+12*q^4*x^7+3*q^5*x^7+7*q^6*x^7-q^7*x^7+3*q^8*x^7+q^9*x^7-16*q^-8*x^8-62*q^-7*x^8-132*q^-6*x^8-351*q^-5*x^8-626*q^-4*x^8-1263*q^-3*x^8-1872*q^-2*x^8-2351*q^-1*x^8-2043*x^8-1481*q*x^8-59*q^2*x^8+123*q^3*x^8+80*q^4*x^8+24*q^5*x^8+22*q^6*x^8+6*q^7*x^8+4*q^8*x^8-2*q^9*x^8+2*q^11*x^8+q^12*x^8-37*q^-11*x^9-70*q^-10*x^9-206*q^-9*x^9-438*q^-8*x^9-913*q^-7*x^9-1561*q^-6*x^9-2846*q^-5*x^9-4360*q^-4*x^9-6478*q^-3*x^9-7694*q^-2*x^9-7798*q^-1*x^9-5768*x^9-3339*q*x^9+32*q^2*x^9+590*q^3*x^9+427*q^4*x^9+186*q^5*x^9+121*q^6*x^9+65*q^7*x^9+25*q^8*x^9-28*q^9*x^9-28*q^10*x^9-14*q^11*x^9-5*q^12*x^9-7*q^13*x^9+q^15*x^9-q^16*x^9-21*q^-15*x^10-82*q^-14*x^10-177*q^-13*x^10-382*q^-12*x^10-883*q^-11*x^10-1526*q^-10*x^10-2845*q^-9*x^10-4726*q^-8*x^10-7739*q^-7*x^10-11543*q^-6*x^10-17130*q^-5*x^10-22338*q^-4*x^10-26976*q^-3*x^10-27169*q^-2*x^10-23341*q^-1*x^10-14898*x^10-6726*q*x^10+1193*q^2*x^10+2645*q^3*x^10+2028*q^4*x^10+1126*q^5*x^10+734*q^6*x^10+480*q^7*x^10+252*q^8*x^10-43*q^9*x^10-191*q^10*x^10-199*q^11*x^10-147*q^12*x^10-104*q^13*x^10-50*q^14*x^10-27*q^15*x^10-25*q^16*x^10-7*q^17*x^10-4*q^18*x^10-2*q^19*x^10-2*q^20*x^10-q^21*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_586 | [-1, -4, 3, 2, 2, -3, 4, -3, 2, 4, -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^2-7*x^3-q^-1*x^4-28*x^4-3*q*x^4+q^-3*x^5+2*q^-2*x^5-8*q^-1*x^5-89*x^5-21*q*x^5-8*q^2*x^5+2*q^-5*x^6+2*q^-4*x^6+17*q^-3*x^6+14*q^-2*x^6-38*q^-1*x^6-251*x^6-101*q*x^6-55*q^2*x^6-20*q^3*x^6-7*q^4*x^6+q^-8*x^7+3*q^-7*x^7+11*q^-5*x^7+50*q^-4*x^7+115*q^-3*x^7+70*q^-2*x^7-138*q^-1*x^7-670*x^7-391*q*x^7-270*q^2*x^7-144*q^3*x^7-92*q^4*x^7-32*q^5*x^7-17*q^6*x^7+q^-11*x^8+2*q^-10*x^8-q^-9*x^8-5*q^-8*x^8-6*q^-7*x^8+4*q^-6*x^8+143*q^-5*x^8+376*q^-4*x^8+571*q^-3*x^8+310*q^-2*x^8-415*q^-1*x^8-1728*x^8-1343*q*x^8-1083*q^2*x^8-732*q^3*x^8-550*q^4*x^8-340*q^5*x^8-210*q^6*x^8-82*q^7*x^8-38*q^8*x^8-10*q^9*x^8-q^-15*x^9+q^-14*x^9-q^-13*x^9-10*q^-12*x^9-15*q^-11*x^9-37*q^-10*x^9-89*q^-9*x^9-124*q^-8*x^9-84*q^-7*x^9+235*q^-6*x^9+1059*q^-5*x^9+2003*q^-4*x^9+2422*q^-3*x^9+1328*q^-2*x^9-997*q^-1*x^9-4319*x^9-4189*q*x^9-3849*q^2*x^9-3032*q^3*x^9-2561*q^4*x^9-1954*q^5*x^9-1506*q^6*x^9-884*q^7*x^9-535*q^8*x^9-259*q^9*x^9-121*q^10*x^9-42*q^11*x^9-23*q^12*x^9-q^-20*x^10-2*q^-19*x^10-2*q^-18*x^10-6*q^-17*x^10-11*q^-16*x^10-35*q^-15*x^10-47*q^-14*x^10-98*q^-13*x^10-194*q^-12*x^10-359*q^-11*x^10-591*q^-10*x^10-885*q^-9*x^10-877*q^-8*x^10-42*q^-7*x^10+2186*q^-6*x^10+5776*q^-5*x^10+8901*q^-4*x^10+9533*q^-3*x^10+5620*q^-2*x^10-1447*q^-1*x^10-10148*x^10-11989*q*x^10-12322*q^2*x^10-11003*q^3*x^10-10123*q^4*x^10-8836*q^5*x^10-7693*q^6*x^10-5764*q^7*x^10-4102*q^8*x^10-2603*q^9*x^10-1588*q^10*x^10-870*q^11*x^10-502*q^12*x^10-220*q^13*x^10-105*q^14*x^10-50*q^15*x^10-13*q^16*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_587 | [1, -2, -3, -3, 4, -2, -1, -1, 2, -3, 2, 4, 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^2-9*x^3-8*q^-1*x^4-45*x^4-9*q*x^4-q^-3*x^5-24*q^-2*x^5-71*q^-1*x^5-195*x^5-79*q*x^5-35*q^2*x^5-2*q^3*x^5-3*q^-5*x^6-22*q^-4*x^6-72*q^-3*x^6-234*q^-2*x^6-465*q^-1*x^6-824*x^6-522*q*x^6-324*q^2*x^6-139*q^3*x^6-45*q^4*x^6-7*q^5*x^6-3*q^-8*x^7-11*q^-7*x^7-62*q^-6*x^7-127*q^-5*x^7-364*q^-4*x^7-794*q^-3*x^7-1674*q^-2*x^7-2635*q^-1*x^7-3711*x^7-2977*q*x^7-2272*q^2*x^7-1399*q^3*x^7-800*q^4*x^7-332*q^5*x^7-151*q^6*x^7-30*q^7*x^7-8*q^8*x^7-q^-12*x^8-8*q^-11*x^8-23*q^-10*x^8-76*q^-9*x^8-202*q^-8*x^8-415*q^-7*x^8-953*q^-6*x^8-1767*q^-5*x^8-3541*q^-4*x^8-6280*q^-3*x^8-10386*q^-2*x^8-14376*q^-1*x^8-17756*x^8-16344*q*x^8-13941*q^2*x^8-10484*q^3*x^8-7370*q^4*x^8-4547*q^5*x^8-2638*q^6*x^8-1285*q^7*x^8-607*q^8*x^8-230*q^9*x^8-72*q^10*x^8-25*q^11*x^8-3*q^12*x^8-3*q^-16*x^9-9*q^-15*x^9-33*q^-14*x^9-74*q^-13*x^9-211*q^-12*x^9-418*q^-11*x^9-892*q^-10*x^9-1710*q^-9*x^9-3262*q^-8*x^9-5648*q^-7*x^9-10101*q^-6*x^9-16659*q^-5*x^9-27759*q^-4*x^9-42502*q^-3*x^9-60985*q^-2*x^9-77531*q^-1*x^9-89925*x^9-88548*q*x^9-81396*q^2*x^9-68502*q^3*x^9-54717*q^4*x^9-40252*q^5*x^9-28250*q^6*x^9-17932*q^7*x^9-10993*q^8*x^9-6080*q^9*x^9-3234*q^10*x^9-1535*q^11*x^9-741*q^12*x^9-274*q^13*x^9-118*q^14*x^9-34*q^15*x^9-10*q^16*x^9-3*q^-21*x^10-9*q^-20*x^10-29*q^-19*x^10-72*q^-18*x^10-157*q^-17*x^10-353*q^-16*x^10-725*q^-15*x^10-1381*q^-14*x^10-2514*q^-13*x^10-4659*q^-12*x^10-7884*q^-11*x^10-13462*q^-10*x^10-22045*q^-9*x^10-35758*q^-8*x^10-55862*q^-7*x^10-87267*q^-6*x^10-130959*q^-5*x^10-192639*q^-4*x^10-267050*q^-3*x^10-349459*q^-2*x^10-421366*q^-1*x^10-473001*x^10-482506*q*x^10-464403*q^2*x^10-420292*q^3*x^10-363427*q^4*x^10-297717*q^5*x^10-233793*q^6*x^10-173178*q^7*x^10-123071*q^8*x^10-82842*q^9*x^10-53569*q^10*x^10-32853*q^11*x^10-19563*q^12*x^10-10898*q^13*x^10-5927*q^14*x^10-3073*q^15*x^10-1485*q^16*x^10-676*q^17*x^10-303*q^18*x^10-123*q^19*x^10-38*q^20*x^10-11*q^21*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_590 | [-1, 2, 3, -1, 3, 3, 3, 3, 2, -3, 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^3*x^3-3*q^3*x^4-2*q^2*x^5-6*q^3*x^5-5*q*x^6-6*q^2*x^6-10*q^3*x^6-q^5*x^6-3*q^-1*x^7-10*x^7-15*q*x^7-12*q^2*x^7-15*q^3*x^7-2*q^4*x^7-3*q^5*x^7-q^6*x^7-7*q^-3*x^8-10*q^-2*x^8-26*q^-1*x^8-30*x^8-30*q*x^8-20*q^2*x^8-26*q^3*x^8-8*q^4*x^8-8*q^5*x^8-3*q^6*x^8-3*q^7*x^8-4*q^-6*x^9-14*q^-5*x^9-24*q^-4*x^9-42*q^-3*x^9-56*q^-2*x^9-69*q^-1*x^9-60*x^9-53*q*x^9-43*q^2*x^9-49*q^3*x^9-23*q^4*x^9-18*q^5*x^9-11*q^6*x^9-9*q^7*x^9-2*q^8*x^9-q^9*x^9-9*q^-9*x^10-14*q^-8*x^10-38*q^-7*x^10-60*q^-6*x^10-93*q^-5*x^10-108*q^-4*x^10-142*q^-3*x^10-138*q^-2*x^10-139*q^-1*x^10-117*x^10-114*q*x^10-97*q^2*x^10-97*q^3*x^10-53*q^4*x^10-45*q^5*x^10-31*q^6*x^10-26*q^7*x^10-8*q^8*x^10-5*q^9*x^10-q^10*x^10-q^11*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12n_591 | [1, 2, 3, 3, 2, 2, 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^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+q^6*x^6-q^-2*x^7-q^2*x^7-q^3*x^7-q^4*x^7-2*q^6*x^7-q^7*x^7+q^-6*x^8+q^-1*x^8+x^8+q*x^8+q^2*x^8+q^4*x^8+2*q^5*x^8+2*q^6*x^8+2*q^7*x^8+3*q^8*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-q*x^9-q^2*x^9-3*q^3*x^9-2*q^4*x^9-2*q^5*x^9-2*q^6*x^9-3*q^7*x^9-3*q^8*x^9-4*q^9*x^9-q^10*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^-3*x^10+q^-2*x^10+2*q^-1*x^10+3*x^10+3*q*x^10+2*q^2*x^10+2*q^3*x^10+3*q^4*x^10+3*q^5*x^10+4*q^6*x^10+5*q^7*x^10+4*q^8*x^10+5*q^9*x^10+5*q^10*x^10+4*q^11*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12n_592 | [-1, 2, -3, -1, -3, -3, -3, -3, -2, 3, -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^-2*x^3-3*q^-2*x^4+q^-3*x^5-6*q^-2*x^5+q^-1*x^5+3*q^-3*x^6-9*q^-2*x^6+3*q^-1*x^6+3*x^6+7*q^-3*x^7-13*q^-2*x^7+7*q^-1*x^7+9*x^7+5*q*x^7-q^-6*x^8+q^-4*x^8+12*q^-3*x^8-17*q^-2*x^8+9*q^-1*x^8+18*x^8+15*q*x^8+7*q^2*x^8-3*q^3*x^8-3*q^-7*x^9-3*q^-6*x^9+q^-5*x^9+2*q^-4*x^9+19*q^-3*x^9-23*q^-2*x^9+8*q^-1*x^9+22*x^9+27*q*x^9+20*q^2*x^9-8*q^4*x^9-6*q^5*x^9+q^-9*x^10-q^-8*x^10-9*q^-7*x^10-6*q^-6*x^10+3*q^-5*x^10+5*q^-4*x^10+25*q^-3*x^10-31*q^-2*x^10+q^-1*x^10+17*x^10+27*q*x^10+35*q^2*x^10+6*q^3*x^10-14*q^4*x^10-33*q^5*x^10-15*q^6*x^10-7*q^7*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12n_598 | [-1, 2, 2, 1, 1, 2, -3, 4, -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*x^2-7*q*x^3-6*x^4-28*q*x^4+2*q^2*x^4-17*q^-1*x^5-42*x^5-86*q*x^5+13*q^2*x^5+10*q^3*x^5+q^4*x^5-11*q^-3*x^6-42*q^-2*x^6-129*q^-1*x^6-180*x^6-216*q*x^6+67*q^2*x^6+69*q^3*x^6+29*q^4*x^6+4*q^5*x^6+2*q^6*x^6-27*q^-5*x^7-50*q^-4*x^7-173*q^-3*x^7-354*q^-2*x^7-598*q^-1*x^7-574*x^7-417*q*x^7+322*q^2*x^7+350*q^3*x^7+190*q^4*x^7+68*q^5*x^7+8*q^6*x^7+4*q^7*x^7+2*q^8*x^7+q^9*x^7-16*q^-8*x^8-62*q^-7*x^8-132*q^-6*x^8-351*q^-5*x^8-616*q^-4*x^8-1235*q^-3*x^8-1770*q^-2*x^8-2056*q^-1*x^8-1359*x^8-326*q*x^8+1501*q^2*x^8+1533*q^3*x^8+942*q^4*x^8+394*q^5*x^8+80*q^6*x^8-4*q^7*x^8-16*q^8*x^8-2*q^9*x^8-2*q^10*x^8+q^12*x^8-37*q^-11*x^9-70*q^-10*x^9-206*q^-9*x^9-438*q^-8*x^9-907*q^-7*x^9-1532*q^-6*x^9-2769*q^-5*x^9-4126*q^-4*x^9-5933*q^-3*x^9-6431*q^-2*x^9-5290*q^-1*x^9-1554*x^9+2443*q*x^9+6578*q^2*x^9+6227*q^3*x^9+3947*q^4*x^9+1751*q^5*x^9+324*q^6*x^9-146*q^7*x^9-286*q^8*x^9-161*q^9*x^9-104*q^10*x^9-38*q^11*x^9-19*q^12*x^9-9*q^13*x^9-5*q^14*x^9-q^16*x^9-21*q^-15*x^10-82*q^-14*x^10-177*q^-13*x^10-382*q^-12*x^10-883*q^-11*x^10-1512*q^-10*x^10-2805*q^-9*x^10-4610*q^-8*x^10-7445*q^-7*x^10-10834*q^-6*x^10-15639*q^-5*x^10-19276*q^-4*x^10-21200*q^-3*x^10-16981*q^-2*x^10-7368*q^-1*x^10+7067*x^10+19179*q*x^10+27157*q^2*x^10+23593*q^3*x^10+14791*q^4*x^10+6284*q^5*x^10+579*q^6*x^10-1701*q^7*x^10-2263*q^8*x^10-1722*q^9*x^10-1184*q^10*x^10-635*q^11*x^10-363*q^12*x^10-158*q^13*x^10-95*q^14*x^10-42*q^15*x^10-29*q^16*x^10-12*q^17*x^10-9*q^18*x^10-3*q^19*x^10-2*q^20*x^10-q^21*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_599 | [1, 2, 3, 3, -2, 1, -2, -2, -2, -3, 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] | -q*x^3-3*q*x^4+x^5-6*q*x^5+3*x^6-10*q*x^6-2*q^3*x^6-3*q^-2*x^7+6*x^7-15*q*x^7-q^2*x^7-6*q^3*x^7-q^4*x^7-5*q^-3*x^8-9*q^-2*x^8+10*x^8-22*q*x^8-q^2*x^8-13*q^3*x^8-3*q^4*x^8-q^5*x^8+3*q^-5*x^9-7*q^-4*x^9-15*q^-3*x^9-18*q^-2*x^9+12*x^9-30*q*x^9-q^2*x^9-22*q^3*x^9-7*q^4*x^9-3*q^5*x^9-3*q^6*x^9-3*q^7*x^9+5*q^-6*x^10-21*q^-4*x^10-30*q^-3*x^10-30*q^-2*x^10-7*q^-1*x^10+7*x^10-43*q*x^10-34*q^3*x^10-12*q^4*x^10-9*q^5*x^10-11*q^6*x^10-14*q^7*x^10-2*q^8*x^10-q^9*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12n_601 | [1, 4, -3, 4, -3, 2, -1, -4, -3, 2, 1, -4, 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, 1, -1, 1, 1, 1, 1] | -q*x^2-2*q*x^3+x^4-3*q*x^4+2*q^2*x^4+4*q^-1*x^5+2*x^5-4*q*x^5+4*q^2*x^5-q^3*x^5+6*q^-2*x^6+9*q^-1*x^6-8*q*x^6+6*q^2*x^6-4*q^3*x^6-3*q^4*x^6+q^5*x^6-4*q^-4*x^7+6*q^-3*x^7+14*q^-2*x^7+8*q^-1*x^7-12*x^7-15*q*x^7+9*q^2*x^7-7*q^3*x^7-7*q^4*x^7+5*q^5*x^7+3*q^6*x^7-9*q^-6*x^8-12*q^-5*x^8-4*q^-4*x^8+17*q^-3*x^8+17*q^-2*x^8-7*q^-1*x^8-30*x^8-14*q*x^8+22*q^2*x^8-5*q^3*x^8-10*q^4*x^8+13*q^5*x^8+13*q^6*x^8+2*q^7*x^8-4*q^8*x^8-q^9*x^8-10*q^-8*x^9-22*q^-7*x^9-42*q^-6*x^9-18*q^-5*x^9+16*q^-4*x^9+40*q^-3*x^9+13*q^-2*x^9-28*q^-1*x^9-32*x^9+15*q*x^9+58*q^2*x^9-2*q^3*x^9-23*q^4*x^9+17*q^5*x^9+28*q^6*x^9+7*q^7*x^9-18*q^8*x^9-13*q^9*x^9-3*q^10*x^9+2*q^11*x^9+9*q^-11*x^10-4*q^-10*x^10-17*q^-9*x^10-58*q^-8*x^10-75*q^-7*x^10-51*q^-6*x^10+40*q^-5*x^10+91*q^-4*x^10+75*q^-3*x^10-3*q^-2*x^10-42*q^-1*x^10-2*x^10+82*q*x^10+99*q^2*x^10-37*q^3*x^10-87*q^4*x^10-11*q^5*x^10+41*q^6*x^10+19*q^7*x^10-36*q^8*x^10-44*q^9*x^10-14*q^10*x^10+8*q^11*x^10+12*q^12*x^10+5*q^13*x^10 | 10 | 16 | 16 | Yes | 12 |
| 12n_602 | [-1, 2, -1, 3, -2, 3, 3, 2, -4, 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, 1, 1, 1, -1] | -q*x^2-8*q*x^3-q^-1*x^4-12*x^4-35*q*x^4-4*q^-3*x^5-12*q^-2*x^5-53*q^-1*x^5-86*x^5-122*q*x^5+2*q^2*x^5+4*q^3*x^5-q^-7*x^6-6*q^-6*x^6-21*q^-5*x^6-52*q^-4*x^6-124*q^-3*x^6-238*q^-2*x^6-384*q^-1*x^6-398*x^6-353*q*x^6+17*q^2*x^6+37*q^3*x^6+14*q^4*x^6-2*q^5*x^6-4*q^-11*x^7-8*q^-10*x^7-32*q^-9*x^7-68*q^-8*x^7-153*q^-7*x^7-282*q^-6*x^7-546*q^-5*x^7-832*q^-4*x^7-1304*q^-3*x^7-1646*q^-2*x^7-1805*q^-1*x^7-1378*x^7-848*q*x^7+164*q^2*x^7+222*q^3*x^7+110*q^4*x^7+22*q^5*x^7-8*q^6*x^7-4*q^7*x^7-q^-17*x^8-6*q^-16*x^8-17*q^-15*x^8-42*q^-14*x^8-96*q^-13*x^8-194*q^-12*x^8-375*q^-11*x^8-658*q^-10*x^8-1121*q^-9*x^8-1794*q^-8*x^8-2772*q^-7*x^8-3934*q^-6*x^8-5410*q^-5*x^8-6650*q^-4*x^8-7745*q^-3*x^8-7579*q^-2*x^8-6318*q^-1*x^8-3662*x^8-1315*q*x^8+1153*q^2*x^8+1151*q^3*x^8+618*q^4*x^8+183*q^5*x^8-4*q^6*x^8-42*q^7*x^8-18*q^8*x^8-6*q^9*x^8-2*q^10*x^8-4*q^-23*x^9-8*q^-22*x^9-28*q^-21*x^9-60*q^-20*x^9-136*q^-19*x^9-252*q^-18*x^9-493*q^-17*x^9-842*q^-16*x^9-1454*q^-15*x^9-2326*q^-14*x^9-3688*q^-13*x^9-5504*q^-12*x^9-8169*q^-11*x^9-11390*q^-10*x^9-15668*q^-9*x^9-20388*q^-8*x^9-25696*q^-7*x^9-30204*q^-6*x^9-34079*q^-5*x^9-34758*q^-4*x^9-32694*q^-3*x^9-25741*q^-2*x^9-16438*q^-1*x^9-5766*x^9+1583*q*x^9+6508*q^2*x^9+5348*q^3*x^9+2866*q^4*x^9+948*q^5*x^9+18*q^6*x^9-210*q^7*x^9-200*q^8*x^9-86*q^9*x^9-38*q^10*x^9-8*q^11*x^9-4*q^12*x^9-4*q^13*x^9-q^-31*x^10-6*q^-30*x^10-17*q^-29*x^10-38*q^-28*x^10-88*q^-27*x^10-184*q^-26*x^10-345*q^-25*x^10-632*q^-24*x^10-1111*q^-23*x^10-1848*q^-22*x^10-3023*q^-21*x^10-4754*q^-20*x^10-7297*q^-19*x^10-10864*q^-18*x^10-15888*q^-17*x^10-22490*q^-16*x^10-31335*q^-15*x^10-42410*q^-14*x^10-56160*q^-13*x^10-72214*q^-12*x^10-90896*q^-11*x^10-110073*q^-10*x^10-129808*q^-9*x^10-146286*q^-8*x^10-158197*q^-7*x^10-160736*q^-6*x^10-153891*q^-5*x^10-132611*q^-4*x^10-101563*q^-3*x^10-61212*q^-2*x^10-22419*q^-1*x^10+9791*x^10+26209*q*x^10+31153*q^2*x^10+22244*q^3*x^10+11402*q^4*x^10+3559*q^5*x^10-290*q^6*x^10-1359*q^7*x^10-1268*q^8*x^10-782*q^9*x^10-400*q^10*x^10-134*q^11*x^10-58*q^12*x^10-16*q^13*x^10-6*q^14*x^10-8*q^15*x^10-6*q^16*x^10-2*q^17*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_603 | [1, 2, 3, 1, 3, -2, 1, -2, -3, 1, 2, 1, 2] | [1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1] | -q^3*x^3-3*q^3*x^4-2*q^2*x^5-6*q^3*x^5-5*q*x^6-6*q^2*x^6-10*q^3*x^6+q^5*x^6-3*q^-1*x^7-10*x^7-15*q*x^7-12*q^2*x^7-15*q^3*x^7+3*q^5*x^7+q^6*x^7-7*q^-3*x^8-10*q^-2*x^8-26*q^-1*x^8-30*x^8-30*q*x^8-20*q^2*x^8-21*q^3*x^8+2*q^4*x^8+7*q^5*x^8+3*q^6*x^8-q^7*x^8-4*q^-6*x^9-14*q^-5*x^9-24*q^-4*x^9-42*q^-3*x^9-56*q^-2*x^9-69*q^-1*x^9-60*x^9-50*q*x^9-30*q^2*x^9-23*q^3*x^9+9*q^4*x^9+15*q^5*x^9+4*q^6*x^9-3*q^7*x^9-q^8*x^9-9*q^-9*x^10-14*q^-8*x^10-38*q^-7*x^10-60*q^-6*x^10-93*q^-5*x^10-108*q^-4*x^10-142*q^-3*x^10-138*q^-2*x^10-132*q^-1*x^10-100*x^10-72*q*x^10-30*q^2*x^10-13*q^3*x^10+26*q^4*x^10+23*q^5*x^10+2*q^6*x^10-9*q^7*x^10-3*q^8*x^10-q^9*x^10-q^10*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12n_604 | [-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^-2*x^3-3*q^-2*x^4+2*q^-3*x^5-6*q^-2*x^5+q^-1*x^5+q*x^5+2*q^-4*x^6+6*q^-3*x^6-11*q^-2*x^6+3*q^-1*x^6+3*q*x^6+3*q^2*x^6+5*q^-4*x^7+12*q^-3*x^7-20*q^-2*x^7+5*q^-1*x^7-2*x^7+3*q*x^7+9*q^2*x^7+5*q^3*x^7-q^4*x^7-q^7*x^7-2*q^-7*x^8-2*q^-5*x^8+11*q^-4*x^8+20*q^-3*x^8-33*q^-2*x^8+6*q^-1*x^8-8*x^8-5*q*x^8+14*q^2*x^8+16*q^3*x^8+4*q^4*x^8-3*q^5*x^8-3*q^7*x^8-3*q^8*x^8-3*q^9*x^8-2*q^-9*x^9-6*q^-7*x^9-q^-6*x^9-4*q^-5*x^9+22*q^-4*x^9+33*q^-3*x^9-49*q^-2*x^9+9*q^-1*x^9-17*x^9-27*q*x^9+8*q^2*x^9+31*q^3*x^9+22*q^4*x^9+q^5*x^9-3*q^6*x^9-3*q^7*x^9-6*q^8*x^9-15*q^9*x^9-8*q^10*x^9-5*q^11*x^9+q^12*x^9+q^16*x^9-6*q^-9*x^10+2*q^-8*x^10-14*q^-7*x^10-q^-6*x^10-8*q^-5*x^10+43*q^-4*x^10+53*q^-3*x^10-64*q^-2*x^10+21*q^-1*x^10-25*x^10-67*q*x^10-22*q^2*x^10+35*q^3*x^10+55*q^4*x^10+26*q^5*x^10+6*q^6*x^10+6*q^8*x^10-23*q^9*x^10-30*q^10*x^10-31*q^11*x^10-9*q^12*x^10-4*q^13*x^10+3*q^14*x^10+3*q^16*x^10+3*q^17*x^10+3*q^18*x^10+3*q^19*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_605 | [-1, 2, 2, -3, 1, -3, -2, -2, -2, -3, 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, -1, 1] | -q^-1*x^3+q^-3*x^4-2*q^-1*x^4-q^-6*x^5+2*q^-3*x^5-3*q^-1*x^5+q^-10*x^6-2*q^-6*x^6+5*q^-3*x^6-4*q^-1*x^6-q^-15*x^7+2*q^-10*x^7-2*q^-7*x^7-5*q^-6*x^7+q^-4*x^7+8*q^-3*x^7-5*q^-1*x^7-x^7+q^-21*x^8-2*q^-15*x^8+2*q^-12*x^8+2*q^-11*x^8+5*q^-10*x^8-q^-8*x^8-6*q^-7*x^8-8*q^-6*x^8+3*q^-4*x^8+13*q^-3*x^8-6*q^-1*x^8-2*x^8-2*q*x^8-q^-28*x^9+2*q^-21*x^9-2*q^-18*x^9-2*q^-17*x^9-2*q^-16*x^9-5*q^-15*x^9+q^-13*x^9+6*q^-12*x^9+6*q^-11*x^9+8*q^-10*x^9-q^-9*x^9-6*q^-8*x^9-13*q^-7*x^9-13*q^-6*x^9+5*q^-4*x^9+20*q^-3*x^9+2*q^-2*x^9-7*q^-1*x^9-3*x^9-4*q*x^9-3*q^2*x^9+q^-36*x^10-2*q^-28*x^10+2*q^-25*x^10+2*q^-24*x^10+2*q^-23*x^10+2*q^-22*x^10+5*q^-21*x^10-q^-19*x^10-6*q^-18*x^10-6*q^-17*x^10-6*q^-16*x^10-7*q^-15*x^10+2*q^-14*x^10+7*q^-13*x^10+18*q^-12*x^10+12*q^-11*x^10+13*q^-10*x^10-4*q^-9*x^10-15*q^-8*x^10-24*q^-7*x^10-20*q^-6*x^10+7*q^-4*x^10+29*q^-3*x^10+9*q^-2*x^10-6*q^-1*x^10-4*x^10-6*q*x^10-6*q^2*x^10-4*q^3*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12n_609 | [1, -2, 3, 1, 3, -2, 3, 2, 2, -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^2*x^3-3*q^2*x^4+q*x^5-6*q^2*x^5+3*x^6+3*q*x^6-10*q^2*x^6-q^4*x^6+5*q^-1*x^7+9*x^7+6*q*x^7-15*q^2*x^7-3*q^4*x^7-3*q^-3*x^8+7*q^-2*x^8+15*q^-1*x^8+18*x^8+10*q*x^8-19*q^2*x^8+q^3*x^8-5*q^4*x^8-2*q^6*x^8-6*q^-5*x^9-8*q^-4*x^9+21*q^-2*x^9+30*q^-1*x^9+30*x^9+20*q*x^9-19*q^2*x^9+6*q^3*x^9-7*q^4*x^9+q^5*x^9-6*q^6*x^9-3*q^7*x^9-q^8*x^9-7*q^-7*x^10-15*q^-6*x^10-33*q^-5*x^10-13*q^-4*x^10+9*q^-3*x^10+42*q^-2*x^10+48*q^-1*x^10+52*x^10+41*q*x^10-10*q^2*x^10+14*q^3*x^10-5*q^4*x^10+5*q^5*x^10-11*q^6*x^10-9*q^7*x^10-5*q^8*x^10-q^10*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12n_610 | [1, -2, 3, 1, 3, -2, -2, 3, 2, -3, 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] | -x^3-3*x^4+q^-1*x^5-6*x^5+q*x^5+3*q^-1*x^6-9*x^6+3*q*x^6-q^2*x^6+7*q^-1*x^7-13*x^7+7*q*x^7-3*q^2*x^7-3*q^3*x^7+3*q^-4*x^8+q^-2*x^8+12*q^-1*x^8-17*x^8+13*q*x^8-6*q^2*x^8-9*q^3*x^8-q^4*x^8+q^5*x^8+5*q^-5*x^9+9*q^-4*x^9+q^-3*x^9+2*q^-2*x^9+18*q^-1*x^9-23*x^9+21*q*x^9-8*q^2*x^9-17*q^3*x^9-2*q^4*x^9+4*q^5*x^9+2*q^6*x^9-3*q^-7*x^10+7*q^-6*x^10+15*q^-5*x^10+18*q^-4*x^10-2*q^-3*x^10+4*q^-2*x^10+23*q^-1*x^10-31*x^10+29*q*x^10-8*q^2*x^10-25*q^3*x^10+13*q^5*x^10+9*q^6*x^10-q^7*x^10-3*q^8*x^10-q^9*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12n_612 | [-1, 2, -3, 4, -1, 2, 4, 3, -4, 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] | -q*x^2-2*q^-1*x^3-6*q*x^3-3*q^-5*x^4-q^-4*x^4-6*q^-2*x^4-12*q^-1*x^4-3*x^4-21*q*x^4-3*q^2*x^4-4*q^-11*x^5-2*q^-10*x^5-2*q^-9*x^5-8*q^-7*x^5-12*q^-6*x^5-22*q^-5*x^5-9*q^-4*x^5-16*q^-3*x^5-39*q^-2*x^5-55*q^-1*x^5-24*x^5-67*q*x^5-18*q^2*x^5-8*q^3*x^5-5*q^-19*x^6-3*q^-18*x^6-4*q^-17*x^6-3*q^-16*x^6-q^-15*x^6-10*q^-14*x^6-16*q^-13*x^6-24*q^-12*x^6-38*q^-11*x^6-24*q^-10*x^6-33*q^-9*x^6-37*q^-8*x^6-82*q^-7*x^6-101*q^-6*x^6-118*q^-5*x^6-88*q^-4*x^6-128*q^-3*x^6-196*q^-2*x^6-221*q^-1*x^6-138*x^6-213*q*x^6-97*q^2*x^6-53*q^3*x^6-18*q^4*x^6-5*q^5*x^6-6*q^-29*x^7-4*q^-28*x^7-6*q^-27*x^7-6*q^-26*x^7-6*q^-25*x^7-2*q^-24*x^7-14*q^-23*x^7-20*q^-22*x^7-32*q^-21*x^7-44*q^-20*x^7-66*q^-19*x^7-51*q^-18*x^7-66*q^-17*x^7-70*q^-16*x^7-97*q^-15*x^7-153*q^-14*x^7-206*q^-13*x^7-234*q^-12*x^7-284*q^-11*x^7-246*q^-10*x^7-314*q^-9*x^7-378*q^-8*x^7-551*q^-7*x^7-591*q^-6*x^7-637*q^-5*x^7-587*q^-4*x^7-725*q^-3*x^7-873*q^-2*x^7-896*q^-1*x^7-659*x^7-745*q*x^7-450*q^2*x^7-299*q^3*x^7-146*q^4*x^7-76*q^5*x^7-20*q^6*x^7-12*q^7*x^7-7*q^-41*x^8-5*q^-40*x^8-8*q^-39*x^8-9*q^-38*x^8-11*q^-37*x^8-9*q^-36*x^8-7*q^-35*x^8-18*q^-34*x^8-27*q^-33*x^8-41*q^-32*x^8-58*q^-31*x^8-80*q^-30*x^8-110*q^-29*x^8-102*q^-28*x^8-123*q^-27*x^8-133*q^-26*x^8-167*q^-25*x^8-198*q^-24*x^8-307*q^-23*x^8-381*q^-22*x^8-471*q^-21*x^8-551*q^-20*x^8-630*q^-19*x^8-634*q^-18*x^8-752*q^-17*x^8-878*q^-16*x^8-1095*q^-15*x^8-1364*q^-14*x^8-1608*q^-13*x^8-1725*q^-12*x^8-1899*q^-11*x^8-1895*q^-10*x^8-2230*q^-9*x^8-2567*q^-8*x^8-3076*q^-7*x^8-3183*q^-6*x^8-3297*q^-5*x^8-3239*q^-4*x^8-3560*q^-3*x^8-3795*q^-2*x^8-3678*q^-1*x^8-2990*x^8-2851*q*x^8-2043*q^2*x^8-1485*q^3*x^8-920*q^4*x^8-559*q^5*x^8-278*q^6*x^8-154*q^7*x^8-57*q^8*x^8-26*q^9*x^8-7*q^10*x^8-8*q^-55*x^9-6*q^-54*x^9-10*q^-53*x^9-12*q^-52*x^9-16*q^-51*x^9-16*q^-50*x^9-18*q^-49*x^9-12*q^-48*x^9-28*q^-47*x^9-36*q^-46*x^9-54*q^-45*x^9-74*q^-44*x^9-106*q^-43*x^9-136*q^-42*x^9-186*q^-41*x^9-185*q^-40*x^9-224*q^-39*x^9-244*q^-38*x^9-293*q^-37*x^9-332*q^-36*x^9-425*q^-35*x^9-561*q^-34*x^9-726*q^-33*x^9-869*q^-32*x^9-1059*q^-31*x^9-1208*q^-30*x^9-1394*q^-29*x^9-1472*q^-28*x^9-1712*q^-27*x^9-1949*q^-26*x^9-2358*q^-25*x^9-2754*q^-24*x^9-3414*q^-23*x^9-3879*q^-22*x^9-4410*q^-21*x^9-4838*q^-20*x^9-5324*q^-19*x^9-5686*q^-18*x^9-6473*q^-17*x^9-7302*q^-16*x^9-8447*q^-15*x^9-9535*q^-14*x^9-10510*q^-13*x^9-10989*q^-12*x^9-11700*q^-11*x^9-12109*q^-10*x^9-13456*q^-9*x^9-14639*q^-8*x^9-15986*q^-7*x^9-16206*q^-6*x^9-16414*q^-5*x^9-16140*q^-4*x^9-16575*q^-3*x^9-16471*q^-2*x^9-15532*q^-1*x^9-13240*x^9-11835*q*x^9-9224*q^2*x^9-7153*q^3*x^9-5023*q^4*x^9-3458*q^5*x^9-2121*q^6*x^9-1357*q^7*x^9-724*q^8*x^9-418*q^9*x^9-196*q^10*x^9-94*q^11*x^9-28*q^12*x^9-16*q^13*x^9-9*q^-71*x^10-7*q^-70*x^10-12*q^-69*x^10-15*q^-68*x^10-21*q^-67*x^10-23*q^-66*x^10-29*q^-65*x^10-27*q^-64*x^10-26*q^-63*x^10-41*q^-62*x^10-53*q^-61*x^10-71*q^-60*x^10-99*q^-59*x^10-135*q^-58*x^10-178*q^-57*x^10-235*q^-56*x^10-303*q^-55*x^10-326*q^-54*x^10-389*q^-53*x^10-435*q^-52*x^10-507*q^-51*x^10-572*q^-50*x^10-690*q^-49*x^10-809*q^-48*x^10-1068*q^-47*x^10-1302*q^-46*x^10-1601*q^-45*x^10-1910*q^-44*x^10-2260*q^-43*x^10-2588*q^-42*x^10-2967*q^-41*x^10-3237*q^-40*x^10-3690*q^-39*x^10-4208*q^-38*x^10-4898*q^-37*x^10-5679*q^-36*x^10-6740*q^-35*x^10-7909*q^-34*x^10-9162*q^-33*x^10-10323*q^-32*x^10-11634*q^-31*x^10-12793*q^-30*x^10-14214*q^-29*x^10-15514*q^-28*x^10-17466*q^-27*x^10-19606*q^-26*x^10-22323*q^-25*x^10-25005*q^-24*x^10-28270*q^-23*x^10-30921*q^-22*x^10-33652*q^-21*x^10-36137*q^-20*x^10-38905*q^-19*x^10-41669*q^-18*x^10-45679*q^-17*x^10-49849*q^-16*x^10-54618*q^-15*x^10-58719*q^-14*x^10-62176*q^-13*x^10-64205*q^-12*x^10-66930*q^-11*x^10-69291*q^-10*x^10-73551*q^-9*x^10-76883*q^-8*x^10-79761*q^-7*x^10-79627*q^-6*x^10-78966*q^-5*x^10-76866*q^-4*x^10-75549*q^-3*x^10-72453*q^-2*x^10-67176*q^-1*x^10-58815*x^10-51552*q*x^10-42226*q^2*x^10-34025*q^3*x^10-25950*q^4*x^10-19285*q^5*x^10-13468*q^6*x^10-9370*q^7*x^10-6059*q^8*x^10-3916*q^9*x^10-2356*q^10*x^10-1390*q^11*x^10-732*q^12*x^10-410*q^13*x^10-180*q^14*x^10-77*q^15*x^10-34*q^16*x^10-9*q^17*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_613 | [-1, -2, -3, -3, 4, -2, 1, 1, 2, -3, 2, 4, 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^3-5*x^4-q^-1*x^5-15*x^5+q*x^5-5*q^-2*x^6-5*q^-1*x^6-36*x^6+5*q*x^6+3*q^2*x^6-q^-4*x^7-10*q^-3*x^7-25*q^-2*x^7-16*q^-1*x^7-74*x^7+15*q*x^7+15*q^2*x^7+5*q^3*x^7-2*q^-6*x^8-3*q^-5*x^8-22*q^-4*x^8-53*q^-3*x^8-79*q^-2*x^8-35*q^-1*x^8-132*x^8+39*q*x^8+48*q^2*x^8+24*q^3*x^8+8*q^4*x^8-2*q^5*x^8-q^-9*x^9-3*q^-8*x^9-6*q^-7*x^9-25*q^-6*x^9-46*q^-5*x^9-112*q^-4*x^9-173*q^-3*x^9-186*q^-2*x^9-51*q^-1*x^9-195*x^9+104*q*x^9+128*q^2*x^9+78*q^3*x^9+35*q^4*x^9+2*q^5*x^9-3*q^6*x^9-4*q^7*x^9-2*q^-12*x^10-2*q^-11*x^10-7*q^-10*x^10-15*q^-9*x^10-43*q^-8*x^10-76*q^-7*x^10-164*q^-6*x^10-223*q^-5*x^10-361*q^-4*x^10-423*q^-3*x^10-344*q^-2*x^10-q^-1*x^10-193*x^10+282*q*x^10+320*q^2*x^10+209*q^3*x^10+107*q^4*x^10+15*q^5*x^10+q^6*x^10-24*q^7*x^10-7*q^8*x^10-5*q^9*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_614 | [-1, 3, 3, 4, 2, -3, 2, -3, -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] | -x^2-q^-2*x^3-4*x^3-q^-6*x^4+2*q^-3*x^4-4*q^-2*x^4+q^-1*x^4-10*x^4-q*x^4-q^-12*x^5+q^-8*x^5+2*q^-7*x^5-3*q^-6*x^5-q^-5*x^5+4*q^-4*x^5+10*q^-3*x^5-8*q^-2*x^5+3*q^-1*x^5-19*x^5-4*q*x^5-2*q^2*x^5-q^-20*x^6+q^-15*x^6+q^-14*x^6+2*q^-13*x^6-3*q^-12*x^6-q^-10*x^6-q^-9*x^6+8*q^-8*x^6+13*q^-7*x^6-7*q^-6*x^6-4*q^-5*x^6+16*q^-4*x^6+34*q^-3*x^6-8*q^-2*x^6+7*q^-1*x^6-31*x^6-8*q*x^6-9*q^2*x^6-3*q^3*x^6-q^4*x^6-q^-30*x^7+q^-24*x^7+q^-23*x^7+q^-22*x^7+2*q^-21*x^7-3*q^-20*x^7-2*q^-17*x^7+3*q^-15*x^7+7*q^-14*x^7+12*q^-13*x^7-2*q^-12*x^7-6*q^-11*x^7-15*q^-10*x^7-10*q^-9*x^7+29*q^-8*x^7+44*q^-7*x^7-12*q^-6*x^7-20*q^-5*x^7+38*q^-4*x^7+92*q^-3*x^7+13*q^-2*x^7+20*q^-1*x^7-45*x^7-9*q*x^7-20*q^2*x^7-14*q^3*x^7-10*q^4*x^7-2*q^5*x^7-2*q^6*x^7-q^-42*x^8+q^-35*x^8+q^-34*x^8+q^-33*x^8+q^-32*x^8+2*q^-31*x^8-3*q^-30*x^8-q^-27*x^8-2*q^-26*x^8-q^-25*x^8+4*q^-24*x^8+3*q^-23*x^8+7*q^-22*x^8+11*q^-21*x^8-3*q^-20*x^8-2*q^-18*x^8-19*q^-17*x^8-19*q^-16*x^8-5*q^-15*x^8+24*q^-14*x^8+47*q^-13*x^8+13*q^-12*x^8-41*q^-11*x^8-90*q^-10*x^8-68*q^-9*x^8+66*q^-8*x^8+111*q^-7*x^8-18*q^-6*x^8-69*q^-5*x^8+58*q^-4*x^8+203*q^-3*x^8+93*q^-2*x^8+72*q^-1*x^8-51*x^8-23*q^2*x^8-29*q^3*x^8-35*q^4*x^8-17*q^5*x^8-15*q^6*x^8-5*q^7*x^8-3*q^8*x^8-q^9*x^8-q^-56*x^9+q^-48*x^9+q^-47*x^9+q^-46*x^9+q^-45*x^9+q^-44*x^9+2*q^-43*x^9-3*q^-42*x^9-q^-39*x^9-q^-38*x^9-3*q^-37*x^9-q^-36*x^9+3*q^-35*x^9+4*q^-34*x^9+3*q^-33*x^9+7*q^-32*x^9+11*q^-31*x^9-4*q^-30*x^9-9*q^-27*x^9-16*q^-26*x^9-19*q^-25*x^9-7*q^-24*x^9-7*q^-23*x^9+15*q^-22*x^9+43*q^-21*x^9+27*q^-20*x^9+22*q^-19*x^9-15*q^-18*x^9-107*q^-17*x^9-136*q^-16*x^9-86*q^-15*x^9+59*q^-14*x^9+174*q^-13*x^9+85*q^-12*x^9-164*q^-11*x^9-366*q^-10*x^9-297*q^-9*x^9+69*q^-8*x^9+229*q^-7*x^9-7*q^-6*x^9-182*q^-5*x^9+19*q^-4*x^9+347*q^-3*x^9+281*q^-2*x^9+245*q^-1*x^9+6*x^9+45*q*x^9+6*q^2*x^9-14*q^3*x^9-62*q^4*x^9-50*q^5*x^9-56*q^6*x^9-31*q^7*x^9-26*q^8*x^9-14*q^9*x^9-8*q^10*x^9-2*q^11*x^9-2*q^12*x^9-q^-72*x^10+q^-63*x^10+q^-62*x^10+q^-61*x^10+q^-60*x^10+q^-59*x^10+q^-58*x^10+2*q^-57*x^10-3*q^-56*x^10-q^-53*x^10-q^-52*x^10-2*q^-51*x^10-3*q^-50*x^10-2*q^-49*x^10+3*q^-48*x^10+3*q^-47*x^10+4*q^-46*x^10+3*q^-45*x^10+7*q^-44*x^10+11*q^-43*x^10-3*q^-42*x^10-q^-41*x^10-5*q^-39*x^10-10*q^-38*x^10-23*q^-37*x^10-17*q^-36*x^10-8*q^-35*x^10-6*q^-34*x^10-7*q^-33*x^10+16*q^-32*x^10+36*q^-31*x^10+11*q^-30*x^10+25*q^-29*x^10+31*q^-28*x^10-10*q^-27*x^10-61*q^-26*x^10-124*q^-25*x^10-124*q^-24*x^10-116*q^-23*x^10+9*q^-22*x^10+177*q^-21*x^10+253*q^-20*x^10+218*q^-19*x^10-415*q^-17*x^10-609*q^-16*x^10-426*q^-15*x^10+154*q^-14*x^10+597*q^-13*x^10+376*q^-12*x^10-448*q^-11*x^10-1119*q^-10*x^10-1062*q^-9*x^10-185*q^-8*x^10+353*q^-7*x^10+71*q^-6*x^10-372*q^-5*x^10-198*q^-4*x^10+378*q^-3*x^10+529*q^-2*x^10+633*q^-1*x^10+288*x^10+242*q*x^10+137*q^2*x^10+107*q^3*x^10-2*q^4*x^10-47*q^5*x^10-109*q^6*x^10-87*q^7*x^10-92*q^8*x^10-69*q^9*x^10-56*q^10*x^10-30*q^11*x^10-25*q^12*x^10-11*q^13*x^10-5*q^14*x^10-3*q^15*x^10-q^16*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_615 | [1, 2, 3, 3, 2, -1, -1, -2, 3, -4, 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] | -q*x^3-5*q*x^4-x^5-15*q*x^5+q^2*x^5-q^-1*x^6-5*x^6-34*q*x^6+5*q^2*x^6+q^3*x^6-q^-3*x^7-5*q^-1*x^7-14*x^7-64*q*x^7+19*q^2*x^7+5*q^3*x^7+3*q^4*x^7-2*q^-5*x^8-2*q^-4*x^8-3*q^-3*x^8+q^-2*x^8-15*q^-1*x^8-28*x^8-98*q*x^8+55*q^2*x^8+20*q^3*x^8+16*q^4*x^8+7*q^5*x^8-2*q^6*x^8-q^-8*x^9-3*q^-7*x^9-5*q^-6*x^9-13*q^-5*x^9-5*q^-4*x^9-q^-3*x^9+3*q^-2*x^9-31*q^-1*x^9-33*x^9-117*q*x^9+141*q^2*x^9+61*q^3*x^9+57*q^4*x^9+35*q^5*x^9-q^6*x^9-6*q^7*x^9-3*q^8*x^9-2*q^-11*x^10-2*q^-10*x^10-6*q^-9*x^10-14*q^-8*x^10-24*q^-7*x^10-29*q^-6*x^10-36*q^-5*x^10+8*q^-4*x^10+12*q^-3*x^10+9*q^-2*x^10-36*q^-1*x^10+12*x^10-73*q*x^10+318*q^2*x^10+162*q^3*x^10+157*q^4*x^10+113*q^5*x^10+8*q^6*x^10-27*q^7*x^10-28*q^8*x^10-8*q^9*x^10-2*q^10*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_616 | [-1, -3, 2, 2, -1, -4, 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] | -x^2-4*x^3-q^2*x^3-10*x^4-q*x^4-4*q^2*x^4+q^3*x^4-q^6*x^4+q^-2*x^5-20*x^5-4*q*x^5-13*q^2*x^5+4*q^3*x^5-q^5*x^5-3*q^6*x^5+q^7*x^5-q^12*x^5+3*q^-3*x^6+4*q^-2*x^6+2*q^-1*x^6-34*x^6-14*q*x^6-32*q^2*x^6+6*q^3*x^6-q^4*x^6-6*q^5*x^6-8*q^6*x^6+5*q^7*x^6+q^8*x^6-3*q^9*x^6-q^10*x^6-3*q^12*x^6+q^13*x^6-q^20*x^6+6*q^-4*x^7+12*q^-3*x^7+15*q^-2*x^7+12*q^-1*x^7-57*x^7-37*q*x^7-67*q^2*x^7+9*q^3*x^7-13*q^4*x^7-28*q^5*x^7-28*q^6*x^7+14*q^7*x^7+3*q^8*x^7-14*q^9*x^7-9*q^10*x^7-5*q^12*x^7+4*q^13*x^7-q^14*x^7-2*q^15*x^7-2*q^16*x^7-q^17*x^7-3*q^20*x^7+q^21*x^7-q^30*x^7-q^-7*x^8+9*q^-5*x^8+23*q^-4*x^8+39*q^-3*x^8+51*q^-2*x^8+33*q^-1*x^8-96*x^8-78*q*x^8-110*q^2*x^8+11*q^3*x^8-58*q^4*x^8-106*q^5*x^8-88*q^6*x^8+17*q^7*x^8+5*q^8*x^8-50*q^9*x^8-44*q^10*x^8-11*q^11*x^8-3*q^12*x^8+11*q^13*x^8-8*q^14*x^8-15*q^15*x^8-14*q^16*x^8-6*q^17*x^8+4*q^18*x^8+2*q^19*x^8-6*q^20*x^8+3*q^21*x^8-q^22*x^8-3*q^23*x^8-q^24*x^8-2*q^25*x^8-q^26*x^8-3*q^30*x^8+q^31*x^8-q^42*x^8-3*q^-9*x^9-3*q^-8*x^9-7*q^-7*x^9+9*q^-6*x^9+32*q^-5*x^9+72*q^-4*x^9+120*q^-3*x^9+130*q^-2*x^9+63*q^-1*x^9-152*x^9-107*q*x^9-138*q^2*x^9+6*q^3*x^9-189*q^4*x^9-297*q^5*x^9-235*q^6*x^9-30*q^8*x^9-164*q^9*x^9-192*q^10*x^9-82*q^11*x^9+43*q^13*x^9-28*q^14*x^9-67*q^15*x^9-65*q^16*x^9-25*q^17*x^9+18*q^18*x^9+17*q^19*x^9-8*q^20*x^9-15*q^22*x^9-20*q^23*x^9-10*q^24*x^9-8*q^25*x^9-3*q^26*x^9+3*q^27*x^9+3*q^28*x^9+q^29*x^9-7*q^30*x^9+3*q^31*x^9-q^32*x^9-3*q^33*x^9-2*q^34*x^9-q^35*x^9-2*q^36*x^9-q^37*x^9-3*q^42*x^9+q^43*x^9-q^56*x^9-6*q^-11*x^10-9*q^-10*x^10-24*q^-9*x^10-27*q^-8*x^10-19*q^-7*x^10+28*q^-6*x^10+97*q^-5*x^10+215*q^-4*x^10+293*q^-3*x^10+256*q^-2*x^10+115*q^-1*x^10-148*x^10-28*q*x^10-104*q^2*x^10-44*q^3*x^10-479*q^4*x^10-653*q^5*x^10-467*q^6*x^10-56*q^7*x^10-190*q^8*x^10-567*q^9*x^10-672*q^10*x^10-388*q^11*x^10-44*q^12*x^10+134*q^13*x^10-50*q^14*x^10-241*q^15*x^10-269*q^16*x^10-126*q^17*x^10+44*q^18*x^10+81*q^19*x^10+19*q^20*x^10-19*q^21*x^10-81*q^22*x^10-94*q^23*x^10-53*q^24*x^10-25*q^25*x^10+6*q^26*x^10+25*q^27*x^10+22*q^28*x^10+q^29*x^10-25*q^30*x^10-4*q^31*x^10-15*q^32*x^10-21*q^33*x^10-13*q^34*x^10-5*q^35*x^10-6*q^36*x^10-4*q^37*x^10+3*q^38*x^10+3*q^39*x^10+2*q^40*x^10-7*q^42*x^10+3*q^43*x^10-q^44*x^10-3*q^45*x^10-2*q^46*x^10-2*q^47*x^10-q^48*x^10-2*q^49*x^10-q^50*x^10-3*q^56*x^10+q^57*x^10-q^72*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_617 | [-1, -4, 3, -4, -2, 3, -2, -4, -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] | -q^-2*x^2-2*q^-2*x^3-3*q^-2*x^4-3*q^-1*x^4+q^-5*x^5-q^-3*x^5-4*q^-2*x^5-7*q^-1*x^5-5*x^5+q*x^5+5*q^-5*x^6-6*q^-3*x^6-6*q^-2*x^6-10*q^-1*x^6-11*x^6-7*q*x^6-3*q^2*x^6-q^4*x^6-3*q^-7*x^7+2*q^-6*x^7+16*q^-5*x^7+4*q^-4*x^7-15*q^-3*x^7-18*q^-2*x^7-16*q^-1*x^7-14*x^7-16*q*x^7-22*q^2*x^7-11*q^3*x^7-10*q^4*x^7+q^8*x^7-q^-11*x^8+2*q^-9*x^8-q^-8*x^8-9*q^-7*x^8+3*q^-6*x^8+34*q^-5*x^8+26*q^-4*x^8-15*q^-3*x^8-41*q^-2*x^8-48*q^-1*x^8-30*x^8-22*q*x^8-40*q^2*x^8-43*q^3*x^8-42*q^4*x^8-25*q^5*x^8-13*q^6*x^8-3*q^7*x^8+3*q^8*x^8-q^13*x^8-2*q^-12*x^9-5*q^-11*x^9+7*q^-9*x^9+2*q^-8*x^9-21*q^-7*x^9-8*q^-6*x^9+53*q^-5*x^9+74*q^-4*x^9+33*q^-3*x^9-40*q^-2*x^9-102*q^-1*x^9-107*x^9-77*q*x^9-73*q^2*x^9-74*q^3*x^9-92*q^4*x^9-80*q^5*x^9-75*q^6*x^9-52*q^7*x^9-31*q^8*x^9-13*q^9*x^9-10*q^10*x^9-q^11*x^9-q^12*x^9-3*q^13*x^9+q^19*x^9+2*q^-15*x^10+3*q^-14*x^10-14*q^-12*x^10-28*q^-11*x^10-7*q^-10*x^10+26*q^-9*x^10+30*q^-8*x^10-24*q^-7*x^10-43*q^-6*x^10+36*q^-5*x^10+119*q^-4*x^10+144*q^-3*x^10+75*q^-2*x^10-75*q^-1*x^10-200*x^10-245*q*x^10-240*q^2*x^10-201*q^3*x^10-183*q^4*x^10-162*q^5*x^10-160*q^6*x^10-162*q^7*x^10-152*q^8*x^10-129*q^9*x^10-104*q^10*x^10-68*q^11*x^10-37*q^12*x^10-25*q^13*x^10-6*q^14*x^10+q^15*x^10+q^16*x^10+q^17*x^10+q^18*x^10+3*q^19*x^10-q^26*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_618 | [-1, -4, 3, -4, 2, 3, 2, -4, 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] | -q*x^3-5*q*x^4-x^5-15*q*x^5+q^2*x^5-q^-1*x^6-5*x^6-34*q*x^6+5*q^2*x^6-q^3*x^6-q^-3*x^7-5*q^-1*x^7-14*x^7-64*q*x^7+17*q^2*x^7-5*q^3*x^7-3*q^4*x^7-2*q^-5*x^8-2*q^-4*x^8-3*q^-3*x^8+q^-2*x^8-15*q^-1*x^8-28*x^8-101*q*x^8+43*q^2*x^8-17*q^3*x^8-13*q^4*x^8-3*q^5*x^8-q^6*x^8-q^-8*x^9-3*q^-7*x^9-5*q^-6*x^9-13*q^-5*x^9-5*q^-4*x^9-q^-3*x^9+3*q^-2*x^9-33*q^-1*x^9-37*x^9-134*q*x^9+90*q^2*x^9-48*q^3*x^9-39*q^4*x^9-10*q^5*x^9-11*q^6*x^9-4*q^7*x^9-q^8*x^9-2*q^-11*x^10-2*q^-10*x^10-6*q^-9*x^10-14*q^-8*x^10-24*q^-7*x^10-29*q^-6*x^10-36*q^-5*x^10+8*q^-4*x^10+8*q^-3*x^10+q^-2*x^10-49*q^-1*x^10-11*x^10-143*q*x^10+159*q^2*x^10-119*q^3*x^10-91*q^4*x^10-22*q^5*x^10-36*q^6*x^10-33*q^7*x^10-15*q^8*x^10-6*q^9*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_619 | [-1, -4, -3, -4, 2, -3, 2, -4, -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] | -q^-2*x^3-5*q^-2*x^4-15*q^-2*x^5-q^-1*x^5-2*q^-4*x^6-34*q^-2*x^6-5*q^-1*x^6-q^-6*x^7-3*q^-5*x^7-9*q^-4*x^7+2*q^-3*x^7-65*q^-2*x^7-12*q^-1*x^7+5*q*x^7-q^2*x^7-2*q^-8*x^8-3*q^-7*x^8-8*q^-6*x^8-13*q^-5*x^8-26*q^-4*x^8+9*q^-3*x^8-101*q^-2*x^8-19*q^-1*x^8+7*x^8+26*q*x^8+13*q^2*x^8-q^3*x^8-2*q^4*x^8-q^-11*x^9-3*q^-10*x^9-5*q^-9*x^9-15*q^-8*x^9-21*q^-7*x^9-30*q^-6*x^9-35*q^-5*x^9-57*q^-4*x^9+35*q^-3*x^9-122*q^-2*x^9+7*q^-1*x^9+39*x^9+93*q*x^9+79*q^2*x^9+40*q^3*x^9-7*q^4*x^9-5*q^5*x^9-3*q^6*x^9-q^7*x^9-2*q^-14*x^10-2*q^-13*x^10-6*q^-12*x^10-11*q^-11*x^10-24*q^-10*x^10-34*q^-9*x^10-69*q^-8*x^10-76*q^-7*x^10-74*q^-6*x^10-66*q^-5*x^10-88*q^-4*x^10+115*q^-3*x^10-60*q^-2*x^10+148*q^-1*x^10+182*x^10+261*q*x^10+276*q^2*x^10+217*q^3*x^10+77*q^4*x^10-9*q^5*x^10-23*q^6*x^10-18*q^7*x^10-5*q^8*x^10-2*q^9*x^10-2*q^10*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12a_621 | [1, -2, 3, -4, 1, 2, -3, -3, -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^-1*x^3-7*q^-1*x^4-2*q^-2*x^5-28*q^-1*x^5-4*x^5-8*q^-3*x^6-14*q^-2*x^6-92*q^-1*x^6-27*x^6-12*q*x^6-q^2*x^6-5*q^-5*x^7-18*q^-4*x^7-54*q^-3*x^7-78*q^-2*x^7-271*q^-1*x^7-132*x^7-82*q*x^7-37*q^2*x^7-15*q^3*x^7-3*q^4*x^7-12*q^-7*x^8-20*q^-6*x^8-66*q^-5*x^8-135*q^-4*x^8-273*q^-3*x^8-348*q^-2*x^8-796*q^-1*x^8-523*x^8-408*q*x^8-257*q^2*x^8-173*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^-10*x^9-26*q^-9*x^9-51*q^-8*x^9-137*q^-7*x^9-221*q^-6*x^9-435*q^-5*x^9-728*q^-4*x^9-1168*q^-3*x^9-1435*q^-2*x^9-2399*q^-1*x^9-1951*x^9-1700*q*x^9-1306*q^2*x^9-1039*q^3*x^9-711*q^4*x^9-474*q^5*x^9-246*q^6*x^9-131*q^7*x^9-56*q^8*x^9-20*q^9*x^9-8*q^10*x^9-q^11*x^9-16*q^-13*x^10-28*q^-12*x^10-80*q^-11*x^10-165*q^-10*x^10-343*q^-9*x^10-555*q^-8*x^10-1000*q^-7*x^10-1432*q^-6*x^10-2289*q^-5*x^10-3324*q^-4*x^10-4701*q^-3*x^10-5572*q^-2*x^10-7685*q^-1*x^10-7068*x^10-6655*q*x^10-5694*q^2*x^10-5015*q^3*x^10-4044*q^4*x^10-3250*q^5*x^10-2220*q^6*x^10-1507*q^7*x^10-900*q^8*x^10-526*q^9*x^10-272*q^10*x^10-150*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 |
| 12n_621 | [1, -2, 3, -2, -1, -4, 3, -2, -1, -3, -3, -2, 1, -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^2-5*q^-1*x^3-q*x^3-2*q^-2*x^4-15*q^-1*x^4+2*x^4-5*q*x^4+2*q^2*x^4-q^5*x^4-4*q^-3*x^5-10*q^-2*x^5-34*q^-1*x^5+8*x^5-9*q*x^5+12*q^2*x^5+11*q^3*x^5-3*q^5*x^5+2*q^6*x^5-q^11*x^5-2*q^-5*x^6-6*q^-4*x^6-22*q^-3*x^6-29*q^-2*x^6-64*q^-1*x^6+28*x^6-q*x^6+60*q^2*x^6+60*q^3*x^6+20*q^4*x^6-8*q^5*x^6+20*q^6*x^6+10*q^7*x^6+2*q^10*x^6-3*q^11*x^6+2*q^12*x^6-q^19*x^6-4*q^-7*x^7-4*q^-6*x^7-20*q^-5*x^7-36*q^-4*x^7-69*q^-3*x^7-58*q^-2*x^7-90*q^-1*x^7+97*x^7+82*q*x^7+227*q^2*x^7+230*q^3*x^7+97*q^4*x^7+14*q^5*x^7+63*q^6*x^7+66*q^7*x^7+11*q^8*x^7-20*q^9*x^7-7*q^10*x^7+3*q^11*x^7+16*q^12*x^7+7*q^13*x^7+3*q^15*x^7+2*q^17*x^7+2*q^18*x^7-3*q^19*x^7+2*q^20*x^7-q^29*x^7-2*q^-10*x^8-6*q^-9*x^8-9*q^-8*x^8-30*q^-7*x^8-36*q^-6*x^8-93*q^-5*x^8-114*q^-4*x^8-142*q^-3*x^8-50*q^-2*x^8-29*q^-1*x^8+371*x^8+438*q*x^8+745*q^2*x^8+697*q^3*x^8+336*q^4*x^8+87*q^5*x^8+163*q^6*x^8+160*q^7*x^8+8*q^8*x^8-158*q^9*x^8-159*q^10*x^8-43*q^11*x^8+52*q^12*x^8+39*q^13*x^8-17*q^14*x^8-21*q^15*x^8-14*q^16*x^8+9*q^17*x^8+13*q^18*x^8-q^19*x^8+13*q^20*x^8+7*q^21*x^8+3*q^23*x^8+3*q^24*x^8+2*q^26*x^8+2*q^27*x^8+2*q^28*x^8-3*q^29*x^8+2*q^30*x^8-q^41*x^8-4*q^-13*x^9-4*q^-12*x^9-14*q^-11*x^9-26*q^-10*x^9-50*q^-9*x^9-65*q^-8*x^9-135*q^-7*x^9-154*q^-6*x^9-257*q^-5*x^9-201*q^-4*x^9-104*q^-3*x^9+237*q^-2*x^9+497*q^-1*x^9+1354*x^9+1654*q*x^9+2126*q^2*x^9+1826*q^3*x^9+855*q^4*x^9+203*q^5*x^9+173*q^6*x^9+82*q^7*x^9-435*q^8*x^9-940*q^9*x^9-1052*q^10*x^9-612*q^11*x^9-104*q^12*x^9+34*q^13*x^9-171*q^14*x^9-267*q^15*x^9-266*q^16*x^9-83*q^17*x^9+32*q^18*x^9+42*q^19*x^9+48*q^20*x^9+4*q^21*x^9-26*q^22*x^9-16*q^23*x^9-2*q^24*x^9-2*q^25*x^9+2*q^26*x^9+14*q^27*x^9+9*q^28*x^9-4*q^29*x^9+13*q^30*x^9+7*q^31*x^9+3*q^33*x^9+3*q^34*x^9+3*q^35*x^9+2*q^37*x^9+2*q^38*x^9+2*q^39*x^9+2*q^40*x^9-3*q^41*x^9+2*q^42*x^9-q^55*x^9-2*q^-17*x^10-6*q^-16*x^10-9*q^-15*x^10-18*q^-14*x^10-46*q^-13*x^10-53*q^-12*x^10-107*q^-11*x^10-145*q^-10*x^10-222*q^-9*x^10-251*q^-8*x^10-396*q^-7*x^10-334*q^-6*x^10-327*q^-5*x^10+145*q^-4*x^10+731*q^-3*x^10+1796*q^-2*x^10+2742*q^-1*x^10+4491*x^10+5056*q*x^10+5362*q^2*x^10+4010*q^3*x^10+1517*q^4*x^10-280*q^5*x^10-923*q^6*x^10-1667*q^7*x^10-3272*q^8*x^10-4731*q^9*x^10-4996*q^10*x^10-3592*q^11*x^10-1739*q^12*x^10-658*q^13*x^10-996*q^14*x^10-1464*q^15*x^10-1628*q^16*x^10-910*q^17*x^10-137*q^18*x^10+316*q^19*x^10+354*q^20*x^10+62*q^21*x^10-246*q^22*x^10-279*q^23*x^10-216*q^24*x^10-73*q^25*x^10-5*q^26*x^10+50*q^27*x^10+22*q^28*x^10-29*q^29*x^10+4*q^30*x^10-q^31*x^10-26*q^32*x^10-18*q^33*x^10-3*q^34*x^10+6*q^35*x^10-9*q^36*x^10+q^37*x^10+11*q^38*x^10+10*q^39*x^10+6*q^40*x^10-4*q^41*x^10+13*q^42*x^10+7*q^43*x^10+3*q^45*x^10+3*q^46*x^10+3*q^47*x^10+3*q^48*x^10+2*q^50*x^10+2*q^51*x^10+2*q^52*x^10+2*q^53*x^10+2*q^54*x^10-3*q^55*x^10+2*q^56*x^10-q^71*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_622 | [1, -2, 3, -4, -2, 3, -1, -1, 2, 2, 3, 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*x^3-5*q*x^4-x^5-15*q*x^5-q^-1*x^6-5*x^6-36*q*x^6-3*q^3*x^6-q^-3*x^7-5*q^-1*x^7-18*x^7-75*q*x^7-2*q^2*x^7-14*q^3*x^7-6*q^4*x^7-q^5*x^7-2*q^-5*x^8-2*q^-4*x^8-3*q^-3*x^8-22*q^-1*x^8-50*x^8-144*q*x^8-11*q^2*x^8-48*q^3*x^8-28*q^4*x^8-14*q^5*x^8-4*q^6*x^8-2*q^7*x^8-q^-8*x^9-3*q^-7*x^9-5*q^-6*x^9-13*q^-5*x^9-7*q^-4*x^9-5*q^-3*x^9-12*q^-2*x^9-72*q^-1*x^9-121*x^9-259*q*x^9-45*q^2*x^9-133*q^3*x^9-95*q^4*x^9-61*q^5*x^9-39*q^6*x^9-22*q^7*x^9-7*q^8*x^9-3*q^9*x^9-q^10*x^9-2*q^-11*x^10-2*q^-10*x^10-6*q^-9*x^10-14*q^-8*x^10-25*q^-7*x^10-33*q^-6*x^10-45*q^-5*x^10-11*q^-4*x^10-26*q^-3*x^10-70*q^-2*x^10-198*q^-1*x^10-254*x^10-453*q*x^10-140*q^2*x^10-334*q^3*x^10-265*q^4*x^10-203*q^5*x^10-163*q^6*x^10-132*q^7*x^10-66*q^8*x^10-39*q^9*x^10-15*q^10*x^10-7*q^11*x^10-2*q^12*x^10-2*q^13*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_623 | [-1, 2, 3, -4, -1, 2, 3, 3, 3, 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, 1, 1, 1, -1] | -q^2*x^3-4*q^2*x^4-2*q*x^5-10*q^2*x^5+2*q^3*x^5-4*x^6-8*q*x^6-17*q^2*x^6+8*q^3*x^6+3*q^4*x^6-2*q^-2*x^7-6*q^-1*x^7-17*x^7-13*q*x^7-19*q^2*x^7+24*q^3*x^7+11*q^4*x^7+5*q^5*x^7-4*q^-4*x^8-4*q^-3*x^8-16*q^-2*x^8-25*q^-1*x^8-28*x^8-q*x^8-q^2*x^8+56*q^3*x^8+32*q^4*x^8+18*q^5*x^8+4*q^6*x^8-4*q^7*x^8-2*q^-7*x^9-6*q^-6*x^9-8*q^-5*x^9-22*q^-4*x^9-22*q^-3*x^9-48*q^-2*x^9-30*q^-1*x^9+x^9+62*q*x^9+52*q^2*x^9+120*q^3*x^9+74*q^4*x^9+43*q^5*x^9+3*q^6*x^9-16*q^7*x^9-7*q^8*x^9-5*q^9*x^9-4*q^-10*x^10-4*q^-9*x^10-12*q^-8*x^10-20*q^-7*x^10-33*q^-6*x^10-32*q^-5*x^10-56*q^-4*x^10-43*q^-3*x^10-32*q^-2*x^10+61*q^-1*x^10+141*x^10+207*q*x^10+166*q^2*x^10+226*q^3*x^10+141*q^4*x^10+57*q^5*x^10-32*q^6*x^10-72*q^7*x^10-37*q^8*x^10-31*q^9*x^10-6*q^10*x^10-q^11*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_624 | [-1, 2, -1, -2, 3, 3, 2, 2, 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^3*x^3-2*q^3*x^4-q^2*x^5-3*q^3*x^5-2*q^4*x^5-2*q*x^6-2*q^2*x^6-5*q^3*x^6-4*q^4*x^6+q^5*x^6-q^-1*x^7-3*x^7-4*q*x^7-5*q^2*x^7-9*q^3*x^7-8*q^4*x^7-q^5*x^7-2*q^6*x^7-2*q^-3*x^8-2*q^-2*x^8-6*q^-1*x^8-7*x^8-10*q*x^8-12*q^2*x^8-17*q^3*x^8-13*q^4*x^8-5*q^5*x^8-4*q^6*x^8+q^7*x^8+2*q^8*x^8-q^-6*x^9-3*q^-5*x^9-4*q^-4*x^9-7*q^-3*x^9-11*q^-2*x^9-15*q^-1*x^9-19*x^9-24*q*x^9-27*q^2*x^9-28*q^3*x^9-27*q^4*x^9-15*q^5*x^9-12*q^6*x^9+2*q^7*x^9-q^8*x^9-3*q^9*x^9-2*q^-9*x^10-2*q^-8*x^10-6*q^-7*x^10-8*q^-6*x^10-13*q^-5*x^10-16*q^-4*x^10-26*q^-3*x^10-31*q^-2*x^10-40*q^-1*x^10-47*x^10-53*q*x^10-52*q^2*x^10-58*q^3*x^10-54*q^4*x^10-34*q^5*x^10-21*q^6*x^10+q^7*x^10-4*q^8*x^10-4*q^9*x^10+4*q^10*x^10+4*q^11*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12n_625 | [1, -2, 1, 2, -3, 4, -2, 4, -3, -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] | -q^-1*x^3-4*q^-1*x^4+2*q^-2*x^5-10*q^-1*x^5+q^-3*x^6+8*q^-2*x^6-19*q^-1*x^6+q^-4*x^7+3*q^-3*x^7+21*q^-2*x^7-31*q^-1*x^7+q*x^7-q^2*x^7-q^3*x^7-4*q^-6*x^8+3*q^-5*x^8+6*q^-4*x^8+7*q^-3*x^8+42*q^-2*x^8-46*q^-1*x^8-x^8+3*q*x^8+q^2*x^8-6*q^3*x^8-4*q^4*x^8-2*q^5*x^8-5*q^-8*x^9-9*q^-7*x^9-14*q^-6*x^9+16*q^-5*x^9+20*q^-4*x^9+14*q^-3*x^9+73*q^-2*x^9-65*q^-1*x^9-8*x^9+3*q*x^9+10*q^2*x^9-3*q^3*x^9-16*q^4*x^9-14*q^5*x^9-7*q^6*x^9-3*q^7*x^9-q^8*x^9-q^-10*x^10-6*q^-9*x^10-31*q^-8*x^10-40*q^-7*x^10-37*q^-6*x^10+46*q^-5*x^10+52*q^-4*x^10+28*q^-3*x^10+116*q^-2*x^10-87*q^-1*x^10-26*x^10-15*q*x^10+20*q^2*x^10+23*q^3*x^10-5*q^4*x^10-34*q^5*x^10-30*q^6*x^10-21*q^7*x^10-12*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_627 | [-1, -3, -3, 2, 4, 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] | -x^3-7*x^4-q^-1*x^5-28*x^5-q*x^5-3*q^-2*x^6-7*q^-1*x^6-87*x^6-7*q*x^6-3*q^2*x^6-2*q^-4*x^7-8*q^-3*x^7-20*q^-2*x^7-33*q^-1*x^7-232*x^7-33*q*x^7-20*q^2*x^7-8*q^3*x^7-2*q^4*x^7-4*q^-6*x^8-5*q^-5*x^8-30*q^-4*x^8-56*q^-3*x^8-87*q^-2*x^8-123*q^-1*x^8-564*x^8-123*q*x^8-87*q^2*x^8-56*q^3*x^8-30*q^4*x^8-5*q^5*x^8-4*q^6*x^8-2*q^-9*x^9-6*q^-8*x^9-9*q^-7*x^9-33*q^-6*x^9-69*q^-5*x^9-181*q^-4*x^9-246*q^-3*x^9-309*q^-2*x^9-402*q^-1*x^9-1300*x^9-402*q*x^9-309*q^2*x^9-246*q^3*x^9-181*q^4*x^9-69*q^5*x^9-33*q^6*x^9-9*q^7*x^9-6*q^8*x^9-2*q^9*x^9-4*q^-12*x^10-4*q^-11*x^10-12*q^-10*x^10-26*q^-9*x^10-56*q^-8*x^10-76*q^-7*x^10-224*q^-6*x^10-429*q^-5*x^10-763*q^-4*x^10-876*q^-3*x^10-993*q^-2*x^10-1220*q^-1*x^10-2933*x^10-1220*q*x^10-993*q^2*x^10-876*q^3*x^10-763*q^4*x^10-429*q^5*x^10-224*q^6*x^10-76*q^7*x^10-56*q^8*x^10-26*q^9*x^10-12*q^10*x^10-4*q^11*x^10-4*q^12*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_627 | [1, 1, 2, 3, -1, 2, -1, -2, -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] | -x^3-3*x^4+3*q^-1*x^5-6*x^5+3*q*x^5+2*q^-2*x^6+9*q^-1*x^6-12*x^6+9*q*x^6+3*q^2*x^6-3*q^-3*x^7+3*q^-2*x^7+14*q^-1*x^7-30*x^7+14*q*x^7+7*q^2*x^7-2*q^3*x^7-q^4*x^7-2*q^-5*x^8-q^-4*x^8-13*q^-3*x^8+5*q^-2*x^8+18*q^-1*x^8-65*x^8+14*q*x^8+14*q^2*x^8-9*q^3*x^8-5*q^4*x^8-5*q^5*x^8-q^6*x^8-2*q^-7*x^9+5*q^-6*x^9+4*q^-4*x^9-20*q^-3*x^9+29*q^-2*x^9+38*q^-1*x^9-105*x^9+21*q*x^9+43*q^2*x^9-7*q^3*x^9-5*q^4*x^9-11*q^5*x^9-3*q^7*x^9+q^8*x^9+2*q^-8*x^10-3*q^-7*x^10+29*q^-6*x^10+11*q^-5*x^10+17*q^-4*x^10-18*q^-3*x^10+91*q^-2*x^10+87*q^-1*x^10-153*x^10+40*q*x^10+111*q^2*x^10+23*q^3*x^10+14*q^4*x^10-12*q^5*x^10+19*q^6*x^10-3*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_628 | [-1, 2, 3, 2, -1, 4, -3, -2, -4, 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, -1, 1, 1, -1] | -x^2-5*x^3-2*q^2*x^3-2*q^-1*x^4-15*x^4+q*x^4-10*q^2*x^4-q^3*x^4-q^5*x^4-3*q^6*x^4-4*q^-2*x^5-10*q^-1*x^5-34*x^5+q*x^5-31*q^2*x^5-3*q^3*x^5+3*q^4*x^5-5*q^5*x^5-16*q^6*x^5-2*q^7*x^5-q^8*x^5-2*q^10*x^5-2*q^11*x^5-4*q^12*x^5-2*q^-4*x^6-6*q^-3*x^6-22*q^-2*x^6-26*q^-1*x^6-70*x^6-13*q*x^6-77*q^2*x^6+q^3*x^6+19*q^4*x^6-19*q^5*x^6-55*q^6*x^6-6*q^7*x^6+2*q^8*x^6+5*q^9*x^6-11*q^10*x^6-13*q^11*x^6-23*q^12*x^6-4*q^13*x^6-2*q^14*x^6-q^15*x^6-q^16*x^6-3*q^17*x^6-4*q^18*x^6-3*q^19*x^6-5*q^20*x^6-4*q^-6*x^7-4*q^-5*x^7-20*q^-4*x^7-35*q^-3*x^7-61*q^-2*x^7-58*q^-1*x^7-156*x^7-72*q*x^7-157*q^2*x^7+41*q^3*x^7+61*q^4*x^7-74*q^5*x^7-160*q^6*x^7-9*q^7*x^7+49*q^8*x^7+44*q^9*x^7-34*q^10*x^7-61*q^11*x^7-83*q^12*x^7-12*q^13*x^7+2*q^14*x^7+6*q^15*x^7-17*q^17*x^7-27*q^18*x^7-23*q^19*x^7-32*q^20*x^7-7*q^21*x^7-4*q^22*x^7-2*q^23*x^7-3*q^24*x^7-2*q^25*x^7-6*q^26*x^7-6*q^27*x^7-6*q^28*x^7-4*q^29*x^7-6*q^30*x^7-2*q^-9*x^8-6*q^-8*x^8-9*q^-7*x^8-30*q^-6*x^8-34*q^-5*x^8-90*q^-4*x^8-99*q^-3*x^8-139*q^-2*x^8-166*q^-1*x^8-377*x^8-206*q*x^8-224*q^2*x^8+171*q^3*x^8+100*q^4*x^8-280*q^5*x^8-420*q^6*x^8+33*q^7*x^8+275*q^8*x^8+215*q^9*x^8-107*q^10*x^8-256*q^11*x^8-265*q^12*x^8-16*q^13*x^8+86*q^14*x^8+104*q^15*x^8+45*q^16*x^8-54*q^17*x^8-114*q^18*x^8-108*q^19*x^8-118*q^20*x^8-21*q^21*x^8+9*q^23*x^8-3*q^24*x^8-6*q^25*x^8-38*q^26*x^8-44*q^27*x^8-47*q^28*x^8-37*q^29*x^8-43*q^30*x^8-12*q^31*x^8-7*q^32*x^8-5*q^33*x^8-5*q^34*x^8-5*q^35*x^8-7*q^36*x^8-9*q^37*x^8-11*q^38*x^8-9*q^39*x^8-8*q^40*x^8-5*q^41*x^8-7*q^42*x^8-4*q^-12*x^9-4*q^-11*x^9-14*q^-10*x^9-26*q^-9*x^9-49*q^-8*x^9-63*q^-7*x^9-131*q^-6*x^9-148*q^-5*x^9-249*q^-4*x^9-238*q^-3*x^9-382*q^-2*x^9-519*q^-1*x^9-824*x^9-320*q*x^9-149*q^2*x^9+382*q^3*x^9-117*q^4*x^9-947*q^5*x^9-910*q^6*x^9+393*q^7*x^9+1082*q^8*x^9+706*q^9*x^9-442*q^10*x^9-1026*q^11*x^9-862*q^12*x^9+53*q^13*x^9+583*q^14*x^9+652*q^15*x^9+307*q^16*x^9-171*q^17*x^9-470*q^18*x^9-462*q^19*x^9-360*q^20*x^9+2*q^21*x^9+153*q^22*x^9+189*q^23*x^9+121*q^24*x^9+39*q^25*x^9-130*q^26*x^9-189*q^27*x^9-210*q^28*x^9-174*q^29*x^9-160*q^30*x^9-35*q^31*x^9-3*q^32*x^9+6*q^33*x^9-5*q^34*x^9-15*q^35*x^9-41*q^36*x^9-66*q^37*x^9-86*q^38*x^9-79*q^39*x^9-74*q^40*x^9-55*q^41*x^9-58*q^42*x^9-19*q^43*x^9-14*q^44*x^9-9*q^45*x^9-10*q^46*x^9-10*q^47*x^9-13*q^48*x^9-12*q^49*x^9-18*q^50*x^9-16*q^51*x^9-16*q^52*x^9-12*q^53*x^9-10*q^54*x^9-6*q^55*x^9-8*q^56*x^9-2*q^-16*x^10-6*q^-15*x^10-9*q^-14*x^10-18*q^-13*x^10-46*q^-12*x^10-51*q^-11*x^10-107*q^-10*x^10-144*q^-9*x^10-221*q^-8*x^10-258*q^-7*x^10-430*q^-6*x^10-433*q^-5*x^10-614*q^-4*x^10-693*q^-3*x^10-1116*q^-2*x^10-1282*q^-1*x^10-1319*x^10-113*q*x^10+48*q^2*x^10+113*q^3*x^10-1421*q^4*x^10-2514*q^5*x^10-1226*q^6*x^10+2154*q^7*x^10+3397*q^8*x^10+1498*q^9*x^10-2086*q^10*x^10-3791*q^11*x^10-2649*q^12*x^10+638*q^13*x^10+2846*q^14*x^10+2959*q^15*x^10+1305*q^16*x^10-835*q^17*x^10-2126*q^18*x^10-2040*q^19*x^10-1182*q^20*x^10+311*q^21*x^10+1145*q^22*x^10+1352*q^23*x^10+963*q^24*x^10+356*q^25*x^10-431*q^26*x^10-794*q^27*x^10-873*q^28*x^10-680*q^29*x^10-422*q^30*x^10+79*q^31*x^10+285*q^32*x^10+322*q^33*x^10+238*q^34*x^10+124*q^35*x^10-71*q^36*x^10-250*q^37*x^10-374*q^38*x^10-367*q^39*x^10-341*q^40*x^10-256*q^41*x^10-218*q^42*x^10-52*q^43*x^10-20*q^44*x^10+q^45*x^10-20*q^46*x^10-37*q^47*x^10-75*q^48*x^10-91*q^49*x^10-143*q^50*x^10-145*q^51*x^10-148*q^52*x^10-126*q^53*x^10-109*q^54*x^10-80*q^55*x^10-78*q^56*x^10-33*q^57*x^10-23*q^58*x^10-19*q^59*x^10-20*q^60*x^10-19*q^61*x^10-23*q^62*x^10-24*q^63*x^10-26*q^64*x^10-27*q^65*x^10-29*q^66*x^10-23*q^67*x^10-21*q^68*x^10-15*q^69*x^10-12*q^70*x^10-7*q^71*x^10-9*q^72*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12a_629 | [1, 2, -3, 4, -3, -2, -2, -3, 4, 1, 1, -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+2*q^-1*x^5-28*x^5+q*x^5+8*q^-2*x^6+14*q^-1*x^6-84*x^6+7*q*x^6+6*q^2*x^6+15*q^-3*x^7+55*q^-2*x^7+60*q^-1*x^7-212*x^7+30*q*x^7+42*q^2*x^7+16*q^3*x^7-9*q^-5*x^8+18*q^-4*x^8+98*q^-3*x^8+228*q^-2*x^8+188*q^-1*x^8-477*x^8+84*q*x^8+176*q^2*x^8+111*q^3*x^8+32*q^4*x^8-3*q^5*x^8-19*q^-7*x^9-32*q^-6*x^9-51*q^-5*x^9+94*q^-4*x^9+381*q^-3*x^9+704*q^-2*x^9+467*q^-1*x^9-1048*x^9+145*q*x^9+523*q^2*x^9+455*q^3*x^9+214*q^4*x^9+32*q^5*x^9-13*q^6*x^9-10*q^7*x^9-23*q^-9*x^10-54*q^-8*x^10-197*q^-7*x^10-236*q^-6*x^10-275*q^-5*x^10+272*q^-4*x^10+1100*q^-3*x^10+1765*q^-2*x^10+854*q^-1*x^10-2432*x^10-101*q*x^10+1140*q^2*x^10+1337*q^3*x^10+847*q^4*x^10+231*q^5*x^10-25*q^6*x^10-114*q^7*x^10-40*q^8*x^10-20*q^9*x^10+q^10*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_629 | [-1, 2, -3, -1, 2, -3, -2, -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] | -q^-1*x^2-3*q^-1*x^3-6*q^-1*x^4-3*q^-3*x^5-10*q^-1*x^5+2*q*x^5+q^-5*x^6-5*q^-4*x^6-11*q^-3*x^6-q^-2*x^6-14*q^-1*x^6+2*x^6+7*q*x^6+5*q^2*x^6-q^3*x^6+2*q^-6*x^7-3*q^-5*x^7-19*q^-4*x^7-28*q^-3*x^7-2*q^-2*x^7-14*q^-1*x^7+7*x^7+18*q*x^7+18*q^2*x^7+7*q^3*x^7-3*q^4*x^7-q^5*x^7-q^-9*x^8-2*q^-8*x^8-2*q^-7*x^8-16*q^-5*x^8-49*q^-4*x^8-55*q^-3*x^8+2*q^-2*x^8-q^-1*x^8+25*x^8+34*q*x^8+42*q^2*x^8+29*q^3*x^8+9*q^4*x^8-8*q^5*x^8-5*q^6*x^8-q^7*x^8-q^8*x^8+q^-11*x^9-q^-10*x^9-13*q^-9*x^9-18*q^-8*x^9-20*q^-7*x^9-13*q^-6*x^9-44*q^-5*x^9-93*q^-4*x^9-84*q^-3*x^9+30*q^-2*x^9+53*q^-1*x^9+78*x^9+69*q*x^9+68*q^2*x^9+64*q^3*x^9+39*q^4*x^9+2*q^5*x^9-24*q^6*x^9-14*q^7*x^9-9*q^8*x^9-q^9*x^9-q^10*x^9-q^11*x^9+2*q^-13*x^10+4*q^-12*x^10-2*q^-11*x^10-24*q^-10*x^10-71*q^-9*x^10-83*q^-8*x^10-73*q^-7*x^10-40*q^-6*x^10-74*q^-5*x^10-131*q^-4*x^10-86*q^-3*x^10+131*q^-2*x^10+210*q^-1*x^10+235*x^10+161*q*x^10+101*q^2*x^10+75*q^3*x^10+64*q^4*x^10+23*q^5*x^10-37*q^6*x^10-63*q^7*x^10-50*q^8*x^10-19*q^9*x^10-7*q^10*x^10+3*q^11*x^10-q^13*x^10-q^14*x^10-q^15*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12a_630 | [-1, 2, -3, 4, -1, -2, 4, 3, 3, -2, 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^3-7*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+q^3*x^6-4*q^-3*x^7-4*q^-2*x^7-20*q^-1*x^7-59*x^7-222*q*x^7+26*q^2*x^7+8*q^3*x^7-2*q^4*x^7-q^5*x^7-10*q^-5*x^8-17*q^-4*x^8-31*q^-3*x^8-19*q^-2*x^8-79*q^-1*x^8-188*x^8-508*q*x^8+76*q^2*x^8+29*q^3*x^8-12*q^4*x^8-12*q^5*x^8-5*q^6*x^8-2*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^9-97*q^-3*x^9-34*q^-2*x^9-234*q^-1*x^9-501*x^9-1060*q*x^9+183*q^2*x^9+77*q^3*x^9-60*q^4*x^9-62*q^5*x^9-44*q^6*x^9-21*q^7*x^9-10*q^8*x^9-3*q^9*x^9-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^10-550*q^-5*x^10-325*q^-4*x^10-86*q^-3*x^10+54*q^-2*x^10-567*q^-1*x^10-1183*x^10-2076*q*x^10+379*q^2*x^10+133*q^3*x^10-235*q^4*x^10-257*q^5*x^10-201*q^6*x^10-125*q^7*x^10-85*q^8*x^10-47*q^9*x^10-21*q^10*x^10-6*q^11*x^10-2*q^12*x^10-2*q^13*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_630 | [1, -3, 2, -3, 2, 1, -4, 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*x^2-3*q*x^3-x^4-6*q*x^4-2*q^2*x^4-2*q^-1*x^5-3*x^5-11*q*x^5-6*q^2*x^5-2*q^3*x^5-2*q^5*x^5-q^-3*x^6-3*q^-2*x^6-6*q^-1*x^6-7*x^6-20*q*x^6-14*q^2*x^6-8*q^3*x^6-2*q^4*x^6-7*q^5*x^6-3*q^6*x^6-2*q^-5*x^7-2*q^-4*x^7-7*q^-3*x^7-10*q^-2*x^7-13*q^-1*x^7-17*x^7-39*q*x^7-28*q^2*x^7-17*q^3*x^7-12*q^4*x^7-24*q^5*x^7-11*q^6*x^7-4*q^7*x^7-4*q^8*x^7-2*q^9*x^7-q^-8*x^8-3*q^-7*x^8-4*q^-6*x^8-9*q^-5*x^8-13*q^-4*x^8-21*q^-3*x^8-22*q^-2*x^8-33*q^-1*x^8-44*x^8-69*q*x^8-48*q^2*x^8-41*q^3*x^8-45*q^4*x^8-62*q^5*x^8-32*q^6*x^8-19*q^7*x^8-22*q^8*x^8-16*q^9*x^8-5*q^10*x^8-q^12*x^8-3*q^13*x^8-2*q^-11*x^9-2*q^-10*x^9-6*q^-9*x^9-9*q^-8*x^9-16*q^-7*x^9-20*q^-6*x^9-33*q^-5*x^9-39*q^-4*x^9-50*q^-3*x^9-60*q^-2*x^9-83*q^-1*x^9-88*x^9-113*q*x^9-98*q^2*x^9-110*q^3*x^9-121*q^4*x^9-132*q^5*x^9-82*q^6*x^9-71*q^7*x^9-79*q^8*x^9-68*q^9*x^9-31*q^10*x^9-9*q^11*x^9-9*q^12*x^9-18*q^13*x^9-8*q^14*x^9-3*q^15*x^9-q^-15*x^10-3*q^-14*x^10-4*q^-13*x^10-7*q^-12*x^10-15*q^-11*x^10-19*q^-10*x^10-31*q^-9*x^10-41*q^-8*x^10-56*q^-7*x^10-69*q^-6*x^10-95*q^-5*x^10-103*q^-4*x^10-129*q^-3*x^10-149*q^-2*x^10-167*q^-1*x^10-161*x^10-221*q*x^10-237*q^2*x^10-269*q^3*x^10-262*q^4*x^10-263*q^5*x^10-206*q^6*x^10-221*q^7*x^10-243*q^8*x^10-203*q^9*x^10-112*q^10*x^10-59*q^11*x^10-55*q^12*x^10-80*q^13*x^10-57*q^14*x^10-26*q^15*x^10-6*q^16*x^10-7*q^17*x^10-8*q^18*x^10-4*q^19*x^10-2*q^20*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_631 | [-1, 4, 3, -2, 3, 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] | -x^2-q^-2*x^3-4*x^3-q^-6*x^4+2*q^-3*x^4-4*q^-2*x^4+3*q^-1*x^4-10*x^4-q*x^4-q^-12*x^5+q^-8*x^5+2*q^-7*x^5-3*q^-6*x^5+6*q^-4*x^5+11*q^-3*x^5-5*q^-2*x^5+11*q^-1*x^5-16*x^5-4*q*x^5-2*q^2*x^5-q^-20*x^6+q^-15*x^6+q^-14*x^6+2*q^-13*x^6-3*q^-12*x^6+q^-11*x^6+q^-9*x^6+9*q^-8*x^6+14*q^-7*x^6-9*q^-6*x^6-q^-5*x^6+26*q^-4*x^6+41*q^-3*x^6+3*q^-2*x^6+31*q^-1*x^6-17*x^6-3*q*x^6-9*q^2*x^6-3*q^3*x^6-q^4*x^6-q^-30*x^7+q^-24*x^7+q^-23*x^7+q^-22*x^7+2*q^-21*x^7-3*q^-20*x^7+q^-19*x^7+q^-18*x^7-q^-17*x^7+2*q^-16*x^7+4*q^-15*x^7+8*q^-14*x^7+12*q^-13*x^7-4*q^-12*x^7-7*q^-11*x^7-13*q^-10*x^7-3*q^-9*x^7+33*q^-8*x^7+35*q^-7*x^7-34*q^-6*x^7-29*q^-5*x^7+60*q^-4*x^7+112*q^-3*x^7+41*q^-2*x^7+71*q^-1*x^7-x^7+17*q*x^7-11*q^2*x^7-13*q^3*x^7-10*q^4*x^7-2*q^5*x^7-2*q^6*x^7-q^-42*x^8+q^-35*x^8+q^-34*x^8+q^-33*x^8+q^-32*x^8+2*q^-31*x^8-3*q^-30*x^8+q^-29*x^8+q^-28*x^8-q^-26*x^8+q^-25*x^8+5*q^-24*x^8+4*q^-23*x^8+7*q^-22*x^8+10*q^-21*x^8-6*q^-20*x^8-q^-19*x^8-3*q^-18*x^8-19*q^-17*x^8-14*q^-16*x^8-3*q^-15*x^8+27*q^-14*x^8+38*q^-13*x^8-15*q^-12*x^8-81*q^-11*x^8-113*q^-10*x^8-63*q^-9*x^8+61*q^-8*x^8+39*q^-7*x^8-141*q^-6*x^8-171*q^-5*x^8+49*q^-4*x^8+222*q^-3*x^8+141*q^-2*x^8+160*q^-1*x^8+44*x^8+80*q*x^8+27*q^2*x^8-8*q^3*x^8-30*q^4*x^8-15*q^5*x^8-15*q^6*x^8-5*q^7*x^8-3*q^8*x^8-q^9*x^8-q^-56*x^9+q^-48*x^9+q^-47*x^9+q^-46*x^9+q^-45*x^9+q^-44*x^9+2*q^-43*x^9-3*q^-42*x^9+q^-41*x^9+q^-40*x^9-2*q^-37*x^9+q^-36*x^9+4*q^-35*x^9+5*q^-34*x^9+3*q^-33*x^9+6*q^-32*x^9+9*q^-31*x^9-8*q^-30*x^9-2*q^-29*x^9-q^-28*x^9-12*q^-27*x^9-17*q^-26*x^9-16*q^-25*x^9-6*q^-24*x^9-8*q^-23*x^9+12*q^-22*x^9+31*q^-21*x^9+q^-20*x^9-14*q^-19*x^9-58*q^-18*x^9-143*q^-17*x^9-137*q^-16*x^9-62*q^-15*x^9+98*q^-14*x^9+148*q^-13*x^9-50*q^-12*x^9-370*q^-11*x^9-510*q^-10*x^9-337*q^-9*x^9+21*q^-8*x^9-31*q^-7*x^9-461*q^-6*x^9-659*q^-5*x^9-240*q^-4*x^9+230*q^-3*x^9+289*q^-2*x^9+344*q^-1*x^9+154*x^9+209*q*x^9+161*q^2*x^9+89*q^3*x^9-7*q^4*x^9-25*q^5*x^9-46*q^6*x^9-27*q^7*x^9-25*q^8*x^9-14*q^9*x^9-8*q^10*x^9-2*q^11*x^9-2*q^12*x^9-q^-72*x^10+q^-63*x^10+q^-62*x^10+q^-61*x^10+q^-60*x^10+q^-59*x^10+q^-58*x^10+2*q^-57*x^10-3*q^-56*x^10+q^-55*x^10+q^-54*x^10-q^-51*x^10-2*q^-50*x^10+4*q^-48*x^10+4*q^-47*x^10+4*q^-46*x^10+2*q^-45*x^10+5*q^-44*x^10+8*q^-43*x^10-8*q^-42*x^10-4*q^-41*x^10-2*q^-40*x^10-8*q^-39*x^10-14*q^-38*x^10-26*q^-37*x^10-14*q^-36*x^10-8*q^-35*x^10-7*q^-34*x^10-12*q^-33*x^10+9*q^-32*x^10+18*q^-31*x^10-17*q^-30*x^10-9*q^-29*x^10-5*q^-28*x^10-56*q^-27*x^10-96*q^-26*x^10-142*q^-25*x^10-118*q^-24*x^10-86*q^-23*x^10+64*q^-22*x^10+213*q^-21*x^10+212*q^-20*x^10+70*q^-19*x^10-218*q^-18*x^10-592*q^-17*x^10-552*q^-16*x^10-128*q^-15*x^10+586*q^-14*x^10+780*q^-13*x^10+132*q^-12*x^10-1004*q^-11*x^10-1545*q^-10*x^10-1187*q^-9*x^10-243*q^-8*x^10-229*q^-7*x^10-1126*q^-6*x^10-1887*q^-5*x^10-1397*q^-4*x^10-429*q^-3*x^10+153*q^-2*x^10+536*q^-1*x^10+378*x^10+436*q*x^10+433*q^2*x^10+398*q^3*x^10+232*q^4*x^10+107*q^5*x^10-18*q^6*x^10-34*q^7*x^10-66*q^8*x^10-58*q^9*x^10-52*q^10*x^10-28*q^11*x^10-25*q^12*x^10-11*q^13*x^10-5*q^14*x^10-3*q^15*x^10-q^16*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_632 | [-1, 2, -3, -1, 2, -3, 2, -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] | -q^-1*x^3-6*q^-1*x^4-q^-2*x^5-21*q^-1*x^5-x^5-4*q^-3*x^6-6*q^-2*x^6-59*q^-1*x^6-6*x^6-2*q*x^6-q^-5*x^7-8*q^-4*x^7-24*q^-3*x^7-24*q^-2*x^7-145*q^-1*x^7-29*x^7-12*q*x^7-5*q^2*x^7-q^3*x^7-2*q^-7*x^8-2*q^-6*x^8-18*q^-5*x^8-51*q^-4*x^8-92*q^-3*x^8-80*q^-2*x^8-333*q^-1*x^8-108*x^8-61*q*x^8-31*q^2*x^8-20*q^3*x^8-2*q^4*x^8-2*q^5*x^8-q^-10*x^9-3*q^-9*x^9-4*q^-8*x^9-18*q^-7*x^9-30*q^-6*x^9-108*q^-5*x^9-208*q^-4*x^9-291*q^-3*x^9-249*q^-2*x^9-744*q^-1*x^9-357*x^9-241*q*x^9-154*q^2*x^9-112*q^3*x^9-51*q^4*x^9-16*q^5*x^9-4*q^6*x^9-3*q^7*x^9-q^8*x^9-2*q^-13*x^10-2*q^-12*x^10-6*q^-11*x^10-12*q^-10*x^10-31*q^-9*x^10-42*q^-8*x^10-110*q^-7*x^10-189*q^-6*x^10-447*q^-5*x^10-698*q^-4*x^10-854*q^-3*x^10-750*q^-2*x^10-1686*q^-1*x^10-1088*x^10-859*q*x^10-607*q^2*x^10-493*q^3*x^10-308*q^4*x^10-166*q^5*x^10-40*q^6*x^10-27*q^7*x^10-12*q^8*x^10-6*q^9*x^10-2*q^10*x^10-2*q^11*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_634 | [-1, 2, -3, 2, 2, -1, -4, 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*x^2-3*q*x^3-q^3*x^3-x^4-6*q*x^4-3*q^3*x^4+2*q^4*x^4-q^7*x^4-2*q^-1*x^5-3*x^5-12*q*x^5-q^2*x^5+8*q^4*x^5-2*q^5*x^5-2*q^6*x^5-2*q^7*x^5+2*q^8*x^5+q^9*x^5-q^13*x^5-q^-3*x^6-3*q^-2*x^6-7*q^-1*x^6-9*x^6-22*q*x^6+5*q^2*x^6+12*q^3*x^6+18*q^4*x^6-12*q^5*x^6-3*q^6*x^6+5*q^7*x^6+10*q^8*x^6+2*q^9*x^6-5*q^10*x^6-2*q^11*x^6-q^12*x^6-2*q^13*x^6+2*q^14*x^6+q^15*x^6+q^16*x^6-q^21*x^6-2*q^-5*x^7-2*q^-4*x^7-9*q^-3*x^7-12*q^-2*x^7-19*q^-1*x^7-19*x^7-23*q*x^7+30*q^2*x^7+33*q^3*x^7+21*q^4*x^7-21*q^5*x^7+12*q^6*x^7+32*q^7*x^7+16*q^8*x^7-14*q^9*x^7-23*q^10*x^7-2*q^11*x^7+7*q^12*x^7+7*q^13*x^7+10*q^14*x^7+2*q^15*x^7-q^16*x^7-4*q^17*x^7-3*q^18*x^7-q^19*x^7-q^20*x^7-2*q^21*x^7+2*q^22*x^7+q^23*x^7+q^24*x^7+q^25*x^7-q^31*x^7-q^-8*x^8-3*q^-7*x^8-5*q^-6*x^8-13*q^-5*x^8-17*q^-4*x^8-29*q^-3*x^8-28*q^-2*x^8-35*q^-1*x^8-8*x^8+7*q*x^8+77*q^2*x^8+50*q^3*x^8+36*q^4*x^8+7*q^5*x^8+64*q^6*x^8+52*q^7*x^8-29*q^8*x^8-72*q^9*x^8-37*q^10*x^8+43*q^11*x^8+60*q^12*x^8+27*q^13*x^8+4*q^14*x^8-25*q^15*x^8-24*q^16*x^8-18*q^17*x^8-q^18*x^8+10*q^19*x^8+7*q^20*x^8+7*q^21*x^8+10*q^22*x^8+3*q^23*x^8-5*q^26*x^8-3*q^27*x^8-2*q^28*x^8-q^29*x^8-q^30*x^8-2*q^31*x^8+2*q^32*x^8+q^33*x^8+q^34*x^8+q^35*x^8+q^36*x^8-q^43*x^8-2*q^-11*x^9-2*q^-10*x^9-8*q^-9*x^9-13*q^-8*x^9-24*q^-7*x^9-30*q^-6*x^9-48*q^-5*x^9-45*q^-4*x^9-53*q^-3*x^9-34*q^-2*x^9-10*q^-1*x^9+65*x^9+79*q*x^9+141*q^2*x^9+111*q^3*x^9+126*q^4*x^9+92*q^5*x^9+83*q^6*x^9-35*q^7*x^9-177*q^8*x^9-119*q^9*x^9+59*q^10*x^9+217*q^11*x^9+139*q^12*x^9-38*q^13*x^9-126*q^14*x^9-132*q^15*x^9-49*q^16*x^9+25*q^17*x^9+76*q^18*x^9+80*q^19*x^9+37*q^20*x^9+9*q^21*x^9-10*q^22*x^9-29*q^23*x^9-27*q^24*x^9-17*q^25*x^9-16*q^26*x^9+q^27*x^9+7*q^28*x^9+8*q^29*x^9+8*q^30*x^9+7*q^31*x^9+11*q^32*x^9+4*q^33*x^9+q^34*x^9+q^35*x^9-q^36*x^9-5*q^37*x^9-4*q^38*x^9-2*q^39*x^9-2*q^40*x^9-q^41*x^9-q^42*x^9-2*q^43*x^9+2*q^44*x^9+q^45*x^9+q^46*x^9+q^47*x^9+q^48*x^9+q^49*x^9-q^57*x^9-q^-15*x^10-3*q^-14*x^10-5*q^-13*x^10-11*q^-12*x^10-23*q^-11*x^10-30*q^-10*x^10-52*q^-9*x^10-63*q^-8*x^10-82*q^-7*x^10-80*q^-6*x^10-88*q^-5*x^10-45*q^-4*x^10-30*q^-3*x^10+56*q^-2*x^10+133*q^-1*x^10+245*x^10+225*q*x^10+312*q^2*x^10+296*q^3*x^10+268*q^4*x^10+67*q^5*x^10-123*q^6*x^10-283*q^7*x^10-272*q^8*x^10+71*q^9*x^10+392*q^10*x^10+396*q^11*x^10-46*q^12*x^10-476*q^13*x^10-484*q^14*x^10-184*q^15*x^10+205*q^16*x^10+382*q^17*x^10+331*q^18*x^10+146*q^19*x^10-92*q^20*x^10-193*q^21*x^10-202*q^22*x^10-140*q^23*x^10-47*q^24*x^10+34*q^25*x^10+70*q^26*x^10+97*q^27*x^10+80*q^28*x^10+42*q^29*x^10+19*q^30*x^10-7*q^31*x^10-11*q^32*x^10-31*q^33*x^10-29*q^34*x^10-20*q^35*x^10-17*q^36*x^10-16*q^37*x^10-3*q^38*x^10+7*q^39*x^10+7*q^40*x^10+9*q^41*x^10+8*q^42*x^10+9*q^43*x^10+12*q^44*x^10+5*q^45*x^10+2*q^46*x^10+2*q^47*x^10-q^49*x^10-6*q^50*x^10-4*q^51*x^10-3*q^52*x^10-2*q^53*x^10-2*q^54*x^10-q^55*x^10-q^56*x^10-2*q^57*x^10+2*q^58*x^10+q^59*x^10+q^60*x^10+q^61*x^10+q^62*x^10+q^63*x^10+q^64*x^10-q^73*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_635 | [1, 2, 3, 3, -4, 2, -1, -1, -2, 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, -1, 1, 1, -1] | -x^3-6*x^4-q^-1*x^5-21*x^5-q*x^5-2*q^-2*x^6-6*q^-1*x^6-60*x^6-6*q*x^6-5*q^2*x^6-q^-4*x^7-4*q^-3*x^7-12*q^-2*x^7-29*q^-1*x^7-151*x^7-28*q*x^7-30*q^2*x^7-13*q^3*x^7-q^4*x^7-2*q^-6*x^8-2*q^-5*x^8-14*q^-4*x^8-25*q^-3*x^8-56*q^-2*x^8-109*q^-1*x^8-360*x^8-105*q*x^8-123*q^2*x^8-82*q^3*x^8-33*q^4*x^8-3*q^5*x^8-2*q^6*x^8-q^-9*x^9-3*q^-8*x^9-4*q^-7*x^9-15*q^-6*x^9-29*q^-5*x^9-75*q^-4*x^9-114*q^-3*x^9-214*q^-2*x^9-366*q^-1*x^9-843*x^9-358*q*x^9-418*q^2*x^9-347*q^3*x^9-206*q^4*x^9-74*q^5*x^9-28*q^6*x^9-6*q^7*x^9-3*q^8*x^9-q^9*x^9-2*q^-12*x^10-2*q^-11*x^10-6*q^-10*x^10-12*q^-9*x^10-25*q^-8*x^10-32*q^-7*x^10-96*q^-6*x^10-167*q^-5*x^10-311*q^-4*x^10-440*q^-3*x^10-754*q^-2*x^10-1140*q^-1*x^10-2008*x^10-1145*q*x^10-1316*q^2*x^10-1217*q^3*x^10-893*q^4*x^10-477*q^5*x^10-260*q^6*x^10-102*q^7*x^10-55*q^8*x^10-16*q^9*x^10-7*q^10*x^10-2*q^11*x^10-2*q^12*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_636 | [-1, 4, 3, -4, 3, 2, -1, 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] | -x^2-q^-2*x^3-5*x^3-q^-6*x^4+q^-3*x^4-5*q^-2*x^4-15*x^4-3*q*x^4-q^-12*x^5+q^-7*x^5-4*q^-6*x^5-q^-5*x^5+4*q^-4*x^5+6*q^-3*x^5-15*q^-2*x^5-3*q^-1*x^5-38*x^5-15*q*x^5-8*q^2*x^5-q^-20*x^6+q^-13*x^6-4*q^-12*x^6-q^-10*x^6+5*q^-8*x^6+9*q^-7*x^6-12*q^-6*x^6-2*q^-5*x^6+18*q^-4*x^6+23*q^-3*x^6-31*q^-2*x^6-16*q^-1*x^6-89*x^6-56*q*x^6-45*q^2*x^6-18*q^3*x^6-5*q^4*x^6-q^-30*x^7+q^-21*x^7-4*q^-20*x^7-q^-17*x^7+q^-16*x^7+q^-15*x^7+4*q^-14*x^7+8*q^-13*x^7-7*q^-12*x^7-7*q^-11*x^7-12*q^-10*x^7+2*q^-9*x^7+30*q^-8*x^7+38*q^-7*x^7-21*q^-6*x^7-3*q^-5*x^7+57*q^-4*x^7+82*q^-3*x^7-38*q^-2*x^7-43*q^-1*x^7-201*x^7-168*q*x^7-175*q^2*x^7-116*q^3*x^7-71*q^4*x^7-20*q^5*x^7-12*q^6*x^7-q^-42*x^8+q^-31*x^8-4*q^-30*x^8-q^-26*x^8+q^-25*x^8+2*q^-24*x^8+q^-23*x^8+4*q^-22*x^8+7*q^-21*x^8-8*q^-20*x^8-2*q^-18*x^8-11*q^-17*x^8-7*q^-16*x^8+4*q^-15*x^8+28*q^-14*x^8+41*q^-13*x^8-9*q^-12*x^8-50*q^-11*x^8-69*q^-10*x^8-5*q^-9*x^8+102*q^-8*x^8+130*q^-7*x^8-2*q^-6*x^8+24*q^-5*x^8+179*q^-4*x^8+276*q^-3*x^8+48*q^-2*x^8-46*q^-1*x^8-407*x^8-443*q*x^8-536*q^2*x^8-476*q^3*x^8-389*q^4*x^8-228*q^5*x^8-142*q^6*x^8-57*q^7*x^8-26*q^8*x^8-7*q^9*x^8-q^-56*x^9+q^-43*x^9-4*q^-42*x^9-q^-37*x^9+q^-36*x^9+2*q^-35*x^9+2*q^-34*x^9+q^-33*x^9+4*q^-32*x^9+7*q^-31*x^9-9*q^-30*x^9-q^-29*x^9+q^-28*x^9-3*q^-27*x^9-7*q^-26*x^9-2*q^-25*x^9+2*q^-24*x^9+4*q^-23*x^9+20*q^-22*x^9+40*q^-21*x^9+10*q^-20*x^9+6*q^-19*x^9-33*q^-18*x^9-90*q^-17*x^9-77*q^-16*x^9-12*q^-15*x^9+112*q^-14*x^9+154*q^-13*x^9-19*q^-12*x^9-231*q^-11*x^9-311*q^-10*x^9-98*q^-9*x^9+247*q^-8*x^9+395*q^-7*x^9+179*q^-6*x^9+236*q^-5*x^9+594*q^-4*x^9+898*q^-3*x^9+560*q^-2*x^9+256*q^-1*x^9-604*x^9-956*q*x^9-1390*q^2*x^9-1488*q^3*x^9-1499*q^4*x^9-1185*q^5*x^9-933*q^6*x^9-576*q^7*x^9-374*q^8*x^9-189*q^9*x^9-94*q^10*x^9-28*q^11*x^9-16*q^12*x^9-q^-72*x^10+q^-57*x^10-4*q^-56*x^10-q^-50*x^10+q^-49*x^10+2*q^-48*x^10+2*q^-47*x^10+2*q^-46*x^10+q^-45*x^10+4*q^-44*x^10+7*q^-43*x^10-9*q^-42*x^10-2*q^-41*x^10+q^-39*x^10-3*q^-38*x^10-8*q^-37*x^10+q^-36*x^10+6*q^-35*x^10+5*q^-34*x^10+5*q^-33*x^10+19*q^-32*x^10+30*q^-31*x^10-5*q^-30*x^10+11*q^-29*x^10+14*q^-28*x^10-15*q^-27*x^10-50*q^-26*x^10-73*q^-25*x^10-59*q^-24*x^10-22*q^-23*x^10+95*q^-22*x^10+209*q^-21*x^10+168*q^-20*x^10+51*q^-19*x^10-201*q^-18*x^10-478*q^-17*x^10-464*q^-16*x^10-175*q^-15*x^10+293*q^-14*x^10+406*q^-13*x^10-138*q^-12*x^10-896*q^-11*x^10-1203*q^-10*x^10-662*q^-9*x^10+371*q^-8*x^10+1045*q^-7*x^10+964*q^-6*x^10+1222*q^-5*x^10+2037*q^-4*x^10+2901*q^-3*x^10+2630*q^-2*x^10+2044*q^-1*x^10+153*x^10-1231*q*x^10-2811*q^2*x^10-3749*q^3*x^10-4464*q^4*x^10-4362*q^5*x^10-4070*q^6*x^10-3246*q^7*x^10-2527*q^8*x^10-1752*q^9*x^10-1166*q^10*x^10-662*q^11*x^10-394*q^12*x^10-180*q^13*x^10-77*q^14*x^10-34*q^15*x^10-9*q^16*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12a_637 | [1, -3, -2, -2, -3, 4, -3, 2, -3, 4, 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+2*q^-2*x^5-28*q^-1*x^5-4*x^5+4*q^-3*x^6+14*q^-2*x^6-86*q^-1*x^6-27*x^6-12*q*x^6-q^2*x^6+4*q^-4*x^7+27*q^-3*x^7+59*q^-2*x^7-214*q^-1*x^7-113*x^7-81*q*x^7-37*q^2*x^7-15*q^3*x^7-3*q^4*x^7-4*q^-6*x^8+5*q^-5*x^8+24*q^-4*x^8+114*q^-3*x^8+211*q^-2*x^8-442*q^-1*x^8-334*x^8-335*q*x^8-234*q^2*x^8-170*q^3*x^8-79*q^4*x^8-42*q^5*x^8-10*q^6*x^8-3*q^7*x^8-9*q^-8*x^9-9*q^-7*x^9-19*q^-6*x^9+25*q^-5*x^9+96*q^-4*x^9+393*q^-3*x^9+679*q^-2*x^9-696*q^-1*x^9-740*x^9-978*q*x^9-907*q^2*x^9-864*q^3*x^9-640*q^4*x^9-460*q^5*x^9-243*q^6*x^9-131*q^7*x^9-56*q^8*x^9-20*q^9*x^9-8*q^10*x^9-q^11*x^9-12*q^-10*x^10-27*q^-9*x^10-83*q^-8*x^10-58*q^-7*x^10-73*q^-6*x^10+79*q^-5*x^10+313*q^-4*x^10+1176*q^-3*x^10+2025*q^-2*x^10-520*q^-1*x^10-1034*x^10-2075*q*x^10-2431*q^2*x^10-2905*q^3*x^10-2800*q^4*x^10-2639*q^5*x^10-1941*q^6*x^10-1404*q^7*x^10-868*q^8*x^10-517*q^9*x^10-271*q^10*x^10-150*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 |
| 12n_639 | [1, 2, 3, 3, -2, 1, 1, 1, -2, -3, 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] | -q^3*x^3-3*q^3*x^4-2*q^2*x^5-6*q^3*x^5+q^4*x^5-5*q*x^6-6*q^2*x^6-9*q^3*x^6+3*q^4*x^6-q^5*x^6-3*q^-1*x^7-10*x^7-15*q*x^7-9*q^2*x^7-10*q^3*x^7+3*q^4*x^7-3*q^5*x^7-7*q^-3*x^8-10*q^-2*x^8-26*q^-1*x^8-28*x^8-22*q*x^8-6*q^2*x^8-16*q^3*x^8-2*q^4*x^8-7*q^5*x^8+q^6*x^8-4*q^-6*x^9-14*q^-5*x^9-24*q^-4*x^9-42*q^-3*x^9-51*q^-2*x^9-58*q^-1*x^9-35*x^9-20*q*x^9-16*q^2*x^9-37*q^3*x^9-15*q^4*x^9-9*q^5*x^9+5*q^6*x^9-q^7*x^9-q^8*x^9-9*q^-9*x^10-14*q^-8*x^10-38*q^-7*x^10-60*q^-6*x^10-90*q^-5*x^10-95*q^-4*x^10-114*q^-3*x^10-88*q^-2*x^10-71*q^-1*x^10-40*x^10-55*q*x^10-65*q^2*x^10-78*q^3*x^10-23*q^4*x^10-q^5*x^10+12*q^6*x^10-9*q^7*x^10-7*q^8*x^10+2*q^10*x^10+q^11*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12n_640 | [-1, 2, 1, 1, 2, 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^4*x^3+q^4*x^4-q^3*x^5-2*q^5*x^5+q*x^6+2*q^4*x^6+2*q^5*x^6+5*q^6*x^6-q^-2*x^7-2*q^2*x^7-2*q^3*x^7-2*q^4*x^7-2*q^5*x^7-7*q^6*x^7-8*q^7*x^7-q^8*x^7+q^-6*x^8+2*q^-1*x^8+2*x^8+2*q*x^8+2*q^2*x^8+2*q^3*x^8+5*q^4*x^8+8*q^5*x^8+7*q^6*x^8+13*q^7*x^8+17*q^8*x^8+6*q^9*x^8-q^-11*x^9-2*q^-5*x^9-2*q^-4*x^9-2*q^-3*x^9-2*q^-2*x^9-2*q^-1*x^9-2*x^9-5*q*x^9-6*q^2*x^9-11*q^3*x^9-8*q^4*x^9-11*q^5*x^9-17*q^6*x^9-21*q^7*x^9-25*q^8*x^9-38*q^9*x^9-23*q^10*x^9-4*q^11*x^9+q^-17*x^10+2*q^-10*x^10+2*q^-9*x^10+2*q^-8*x^10+2*q^-7*x^10+2*q^-6*x^10+2*q^-5*x^10+2*q^-4*x^10+5*q^-3*x^10+6*q^-2*x^10+9*q^-1*x^10+12*x^10+11*q*x^10+12*q^2*x^10+15*q^3*x^10+25*q^4*x^10+27*q^5*x^10+31*q^6*x^10+40*q^7*x^10+47*q^8*x^10+57*q^9*x^10+75*q^10*x^10+67*q^11*x^10+30*q^12*x^10+6*q^13*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_641 | [-1, 3, 3, -2, -2, -2, 3, -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] | -q^-2*x^3-3*q^-2*x^4+2*q^-3*x^5-6*q^-2*x^5+q^-1*x^5-q^-4*x^6+6*q^-3*x^6-9*q^-2*x^6+3*q^-1*x^6+3*x^6-3*q^-5*x^7-4*q^-4*x^7+12*q^-3*x^7-14*q^-2*x^7+6*q^-1*x^7+9*x^7+5*q*x^7+q^-7*x^8-8*q^-5*x^8-10*q^-4*x^8+19*q^-3*x^8-20*q^-2*x^8+3*q^-1*x^8+15*x^8+15*q*x^8+7*q^2*x^8-3*q^3*x^8+2*q^-8*x^9+2*q^-7*x^9+4*q^-6*x^9-13*q^-5*x^9-16*q^-4*x^9+31*q^-3*x^9-24*q^-2*x^9-5*q^-1*x^9+8*x^9+22*q*x^9+21*q^2*x^9-8*q^4*x^9-6*q^5*x^9-q^-11*x^10-2*q^-10*x^10-q^-9*x^10+4*q^-8*x^10+4*q^-7*x^10+14*q^-6*x^10-15*q^-5*x^10-20*q^-4*x^10+56*q^-3*x^10-10*q^-2*x^10-6*q^-1*x^10-10*x^10+5*q*x^10+34*q^2*x^10+12*q^3*x^10-11*q^4*x^10-33*q^5*x^10-15*q^6*x^10-7*q^7*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12n_642 | [-1, -3, -2, -4, 3, -2, 1, 4, 3, -2, -1, -4, -3, 4, -3, -2, -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, -1, -1, -1, -1, -1, -1, -1, -1] | -q^-2*x+8*q^-2*x^2-q^-5*x^3-12*q^-4*x^3-26*q^-3*x^3-16*q^-2*x^3-16*q^-1*x^3+16*q^-7*x^4+56*q^-6*x^4+136*q^-5*x^4+136*q^-4*x^4+120*q^-3*x^4+64*q^-2*x^4+48*q^-1*x^4+24*x^4+24*q*x^4-q^-12*x^5-12*q^-11*x^5-70*q^-10*x^5-232*q^-9*x^5-517*q^-8*x^5-804*q^-7*x^5-954*q^-6*x^5-856*q^-5*x^5-666*q^-4*x^5-440*q^-3*x^5-352*q^-2*x^5-208*q^-1*x^5-152*x^5-96*q*x^5-64*q^2*x^5-32*q^3*x^5-32*q^4*x^5+16*q^-16*x^6+64*q^-15*x^6+280*q^-14*x^6+744*q^-13*x^6+1728*q^-12*x^6+3104*q^-11*x^6+4784*q^-10*x^6+5968*q^-9*x^6+6488*q^-8*x^6+5920*q^-7*x^6+4985*q^-6*x^6+3776*q^-5*x^6+2936*q^-4*x^6+2136*q^-3*x^6+1584*q^-2*x^6+1136*q^-1*x^6+872*x^6+568*q*x^6+424*q^2*x^6+272*q^3*x^6+200*q^4*x^6+120*q^5*x^6+80*q^6*x^6+40*q^7*x^6+40*q^8*x^6-q^-23*x^7-12*q^-22*x^7-70*q^-21*x^7-280*q^-20*x^7-865*q^-19*x^7-2244*q^-18*x^7-5002*q^-17*x^7-9688*q^-16*x^7-16612*q^-15*x^7-25224*q^-14*x^7-34248*q^-13*x^7-41508*q^-12*x^7-45399*q^-11*x^7-44728*q^-10*x^7-40734*q^-9*x^7-34476*q^-8*x^7-28115*q^-7*x^7-22144*q^-6*x^7-17546*q^-5*x^7-13504*q^-4*x^7-10528*q^-3*x^7-8056*q^-2*x^7-6224*q^-1*x^7-4608*x^7-3544*q*x^7-2584*q^2*x^7-1984*q^3*x^7-1384*q^4*x^7-1024*q^5*x^7-704*q^6*x^7-520*q^7*x^7-336*q^8*x^7-240*q^9*x^7-144*q^10*x^7-96*q^11*x^7-48*q^12*x^7-48*q^13*x^7 | 7 | 18 | 18 | Yes | 12 |
| 12n_646 | [1, -2, 3, 1, 3, 3, 2, 2, -3, 2, -3, -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*x^3-4*q*x^4+x^5-10*q*x^5+q^2*x^5+q^-1*x^6+4*x^6-21*q*x^6+4*q^2*x^6-q^3*x^6-2*q^-2*x^7+4*q^-1*x^7+8*x^7-40*q*x^7+8*q^2*x^7-4*q^3*x^7-2*q^4*x^7-q^-4*x^8-7*q^-3*x^8-8*q^-2*x^8+9*q^-1*x^8+12*x^8-73*q*x^8+14*q^2*x^8-13*q^3*x^8-8*q^4*x^8+q^5*x^8+q^6*x^8-q^-6*x^9+2*q^-5*x^9-18*q^-4*x^9-27*q^-3*x^9-18*q^-2*x^9+20*q^-1*x^9+12*x^9-122*q*x^9+20*q^2*x^9-30*q^3*x^9-24*q^4*x^9+5*q^5*x^9+6*q^6*x^9+q^7*x^9+2*q^-7*x^10+5*q^-6*x^10-14*q^-5*x^10-67*q^-4*x^10-63*q^-3*x^10-22*q^-2*x^10+37*q^-1*x^10+5*x^10-195*q*x^10+28*q^2*x^10-66*q^3*x^10-59*q^4*x^10+8*q^5*x^10+19*q^6*x^10+5*q^7*x^10-2*q^8*x^10-2*q^9*x^10-q^10*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12n_647 | [-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^4*x^3+q^4*x^4-q^3*x^5-2*q^5*x^5+q*x^6+2*q^4*x^6+2*q^5*x^6+4*q^6*x^6-q^-2*x^7-2*q^2*x^7-2*q^3*x^7-2*q^4*x^7-2*q^5*x^7-6*q^6*x^7-6*q^7*x^7-q^8*x^7+q^-6*x^8+2*q^-1*x^8+2*x^8+2*q*x^8+2*q^2*x^8+2*q^3*x^8+5*q^4*x^8+7*q^5*x^8+6*q^6*x^8+10*q^7*x^8+14*q^8*x^8+5*q^9*x^8-q^-11*x^9-2*q^-5*x^9-2*q^-4*x^9-2*q^-3*x^9-2*q^-2*x^9-2*q^-1*x^9-2*x^9-5*q*x^9-6*q^2*x^9-10*q^3*x^9-7*q^4*x^9-10*q^5*x^9-14*q^6*x^9-17*q^7*x^9-19*q^8*x^9-28*q^9*x^9-17*q^10*x^9-4*q^11*x^9+q^-17*x^10+2*q^-10*x^10+2*q^-9*x^10+2*q^-8*x^10+2*q^-7*x^10+2*q^-6*x^10+2*q^-5*x^10+2*q^-4*x^10+5*q^-3*x^10+6*q^-2*x^10+9*q^-1*x^10+11*x^10+10*q*x^10+11*q^2*x^10+14*q^3*x^10+22*q^4*x^10+23*q^5*x^10+25*q^6*x^10+32*q^7*x^10+36*q^8*x^10+42*q^9*x^10+53*q^10*x^10+48*q^11*x^10+23*q^12*x^10+5*q^13*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_648 | [-1, 3, 3, 3, 3, 2, -3, 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] | -q^3*x^3-3*q^3*x^4-2*q^2*x^5-6*q^3*x^5-q^4*x^5-5*q*x^6-6*q^2*x^6-11*q^3*x^6-3*q^4*x^6-q^5*x^6-3*q^-1*x^7-10*x^7-15*q*x^7-14*q^2*x^7-20*q^3*x^7-10*q^4*x^7-4*q^5*x^7-q^6*x^7-7*q^-3*x^8-10*q^-2*x^8-26*q^-1*x^8-31*x^8-35*q*x^8-32*q^2*x^8-44*q^3*x^8-25*q^4*x^8-11*q^5*x^8-4*q^6*x^8-4*q^7*x^8-4*q^-6*x^9-14*q^-5*x^9-24*q^-4*x^9-42*q^-3*x^9-58*q^-2*x^9-75*q^-1*x^9-77*x^9-85*q*x^9-88*q^2*x^9-92*q^3*x^9-56*q^4*x^9-28*q^5*x^9-19*q^6*x^9-14*q^7*x^9-3*q^8*x^9-q^9*x^9-9*q^-9*x^10-14*q^-8*x^10-38*q^-7*x^10-60*q^-6*x^10-94*q^-5*x^10-113*q^-4*x^10-156*q^-3*x^10-170*q^-2*x^10-198*q^-1*x^10-208*x^10-228*q*x^10-208*q^2*x^10-189*q^3*x^10-122*q^4*x^10-82*q^5*x^10-61*q^6*x^10-43*q^7*x^10-14*q^8*x^10-9*q^9*x^10-3*q^10*x^10-q^11*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12a_649 | [1, -2, 3, -4, 1, -4, 1, -2, -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] | -q^-1*x^3-6*q^-1*x^4-2*q^-2*x^5-21*q^-1*x^5-2*x^5-8*q^-3*x^6-12*q^-2*x^6-60*q^-1*x^6-12*x^6-6*q*x^6-5*q^-5*x^7-18*q^-4*x^7-46*q^-3*x^7-54*q^-2*x^7-154*q^-1*x^7-52*x^7-34*q*x^7-16*q^2*x^7-5*q^3*x^7-12*q^-7*x^8-20*q^-6*x^8-64*q^-5*x^8-112*q^-4*x^8-192*q^-3*x^8-200*q^-2*x^8-390*q^-1*x^8-184*x^8-144*q*x^8-94*q^2*x^8-64*q^3*x^8-22*q^4*x^8-12*q^5*x^8-7*q^-10*x^9-26*q^-9*x^9-51*q^-8*x^9-126*q^-7*x^9-201*q^-6*x^9-353*q^-5*x^9-497*q^-4*x^9-682*q^-3*x^9-689*q^-2*x^9-1008*q^-1*x^9-621*x^9-520*q*x^9-407*q^2*x^9-333*q^3*x^9-213*q^4*x^9-129*q^5*x^9-54*q^6*x^9-26*q^7*x^9-7*q^8*x^9-16*q^-13*x^10-28*q^-12*x^10-80*q^-11*x^10-158*q^-10*x^10-312*q^-9*x^10-476*q^-8*x^10-814*q^-7*x^10-1084*q^-6*x^10-1526*q^-5*x^10-1876*q^-4*x^10-2280*q^-3*x^10-2262*q^-2*x^10-2766*q^-1*x^10-2042*x^10-1814*q*x^10-1536*q^2*x^10-1386*q^3*x^10-1080*q^4*x^10-832*q^5*x^10-496*q^6*x^10-316*q^7*x^10-160*q^8*x^10-80*q^9*x^10-28*q^10*x^10-16*q^11*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_649 | [1, -2, 1, -2, -3, 2, 1, 1, 2, 2, 3, 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^2*x^3-4*q^2*x^4-10*q^2*x^5+q^3*x^5+2*x^6-19*q^2*x^6+4*q^3*x^6-2*q^4*x^6+7*q^-1*x^7+8*x^7+q*x^7-31*q^2*x^7+9*q^3*x^7-8*q^4*x^7-3*q^5*x^7+16*q^-2*x^8+28*q^-1*x^8+19*x^8+2*q*x^8-44*q^2*x^8+15*q^3*x^8-24*q^4*x^8-11*q^5*x^8-2*q^6*x^8+q^7*x^8-3*q^-5*x^9-q^-4*x^9+30*q^-3*x^9+63*q^-2*x^9+62*q^-1*x^9+28*x^9+9*q*x^9-53*q^2*x^9+20*q^3*x^9-54*q^4*x^9-25*q^5*x^9-6*q^6*x^9-2*q^7*x^9-q^8*x^9-10*q^-7*x^10-14*q^-6*x^10-16*q^-5*x^10+46*q^-4*x^10+115*q^-3*x^10+132*q^-2*x^10+85*q^-1*x^10+46*x^10+47*q*x^10-40*q^2*x^10+28*q^3*x^10-99*q^4*x^10-39*q^5*x^10-10*q^6*x^10-16*q^7*x^10-14*q^8*x^10-2*q^9*x^10-3*q^10*x^10-q^11*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12a_651 | [-1, 2, -3, 4, -1, 2, -3, 4, 4, 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] | -q^2*x^3-6*q^2*x^4-4*q*x^5-21*q^2*x^5-2*q^3*x^5-10*x^6-24*q*x^6-62*q^2*x^6-12*q^3*x^6-8*q^4*x^6-6*q^-2*x^7-21*q^-1*x^7-64*x^7-102*q*x^7-170*q^2*x^7-60*q^3*x^7-46*q^4*x^7-18*q^5*x^7-5*q^6*x^7-14*q^-4*x^8-22*q^-3*x^8-76*q^-2*x^8-154*q^-1*x^8-288*x^8-366*q*x^8-482*q^2*x^8-252*q^3*x^8-210*q^4*x^8-116*q^5*x^8-66*q^6*x^8-20*q^7*x^8-12*q^8*x^8-8*q^-7*x^9-29*q^-6*x^9-55*q^-5*x^9-141*q^-4*x^9-237*q^-3*x^9-485*q^-2*x^9-760*q^-1*x^9-1106*x^9-1270*q*x^9-1443*q^2*x^9-993*q^3*x^9-846*q^4*x^9-577*q^5*x^9-391*q^6*x^9-215*q^7*x^9-126*q^8*x^9-51*q^9*x^9-26*q^10*x^9-7*q^11*x^9-18*q^-10*x^10-30*q^-9*x^10-86*q^-8*x^10-170*q^-7*x^10-338*q^-6*x^10-540*q^-5*x^10-976*q^-4*x^10-1486*q^-3*x^10-2368*q^-2*x^10-3184*q^-1*x^10-4042*x^10-4380*q*x^10-4636*q^2*x^10-3726*q^3*x^10-3282*q^4*x^10-2510*q^5*x^10-1912*q^6*x^10-1286*q^7*x^10-888*q^8*x^10-502*q^9*x^10-318*q^10*x^10-158*q^11*x^10-80*q^12*x^10-28*q^13*x^10-16*q^14*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_652 | [1, 1, 2, 2, 3, -1, 2, -1, -2, -2, 3, 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*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^6-21*q*x^6+12*q^2*x^6+2*q^3*x^6+2*q^-2*x^7+15*q^-1*x^7+15*x^7-45*q*x^7+29*q^2*x^7+6*q^3*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+30*q^-1*x^8+11*x^8-96*q*x^8+56*q^2*x^8+13*q^3*x^8-20*q^4*x^8-7*q^5*x^8-3*q^6*x^8-q^7*x^8-7*q^-6*x^9-6*q^-5*x^9-32*q^-4*x^9-17*q^-3*x^9+10*q^-2*x^9+50*q^-1*x^9-22*x^9-180*q*x^9+110*q^2*x^9+38*q^3*x^9-52*q^4*x^9-20*q^5*x^9-11*q^6*x^9+4*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^10-30*q^-5*x^10-87*q^-4*x^10-7*q^-3*x^10+62*q^-2*x^10+85*q^-1*x^10-87*x^10-288*q*x^10+243*q^2*x^10+124*q^3*x^10-94*q^4*x^10-42*q^5*x^10-20*q^6*x^10+30*q^7*x^10+8*q^8*x^10+8*q^9*x^10+2*q^10*x^10+2*q^11*x^10+2*q^12*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12n_653 | [-1, 2, 3, -1, 3, 3, 2, 2, 2, -3, 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^3*x^3-3*q^3*x^4-2*q^2*x^5-6*q^3*x^5+q^4*x^5-5*q*x^6-6*q^2*x^6-9*q^3*x^6+3*q^4*x^6-2*q^5*x^6-3*q^-1*x^7-10*x^7-15*q*x^7-9*q^2*x^7-10*q^3*x^7+3*q^4*x^7-6*q^5*x^7-2*q^6*x^7-7*q^-3*x^8-10*q^-2*x^8-26*q^-1*x^8-28*x^8-22*q*x^8-6*q^2*x^8-16*q^3*x^8-4*q^4*x^8-15*q^5*x^8-4*q^6*x^8-2*q^7*x^8-4*q^-6*x^9-14*q^-5*x^9-24*q^-4*x^9-42*q^-3*x^9-51*q^-2*x^9-58*q^-1*x^9-35*x^9-20*q*x^9-16*q^2*x^9-42*q^3*x^9-26*q^4*x^9-28*q^5*x^9-7*q^6*x^9-5*q^7*x^9-4*q^8*x^9-2*q^9*x^9-9*q^-9*x^10-14*q^-8*x^10-38*q^-7*x^10-60*q^-6*x^10-90*q^-5*x^10-95*q^-4*x^10-114*q^-3*x^10-88*q^-2*x^10-71*q^-1*x^10-40*x^10-58*q*x^10-78*q^2*x^10-106*q^3*x^10-58*q^4*x^10-42*q^5*x^10-11*q^6*x^10-20*q^7*x^10-17*q^8*x^10-10*q^9*x^10-2*q^10*x^10-q^11*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12n_657 | [1, -2, 3, 1, 3, 3, 2, -3, 2, -3, -3, -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] | -x^3-3*x^4+2*q^-1*x^5-6*x^5+q*x^5+q^-2*x^6+6*q^-1*x^6-10*x^6+3*q*x^6-q^2*x^6-q^-3*x^7+2*q^-2*x^7+12*q^-1*x^7-17*x^7+6*q*x^7-3*q^2*x^7-3*q^3*x^7-q^-5*x^8+2*q^-4*x^8-4*q^-3*x^8+4*q^-2*x^8+19*q^-1*x^8-26*x^8+12*q*x^8-5*q^2*x^8-9*q^3*x^8-q^4*x^8+q^5*x^8-q^-7*x^9+q^-6*x^9+2*q^-5*x^9+7*q^-4*x^9-8*q^-3*x^9+8*q^-2*x^9+30*q^-1*x^9-36*x^9+24*q*x^9-q^2*x^9-17*q^3*x^9-3*q^4*x^9+4*q^5*x^9+2*q^6*x^9-7*q^-7*x^10+9*q^-6*x^10+9*q^-5*x^10+15*q^-4*x^10-17*q^-3*x^10+16*q^-2*x^10+42*q^-1*x^10-47*x^10+43*q*x^10+12*q^2*x^10-26*q^3*x^10-9*q^4*x^10+8*q^5*x^10+9*q^6*x^10-q^7*x^10-3*q^8*x^10-q^9*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12n_658 | [1, -2, 3, 1, 3, 3, 2, 2, 2, -3, 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^2*x^3-4*q^2*x^4-10*q^2*x^5+2*q^3*x^5+2*x^6-19*q^2*x^6+8*q^3*x^6+7*q^-1*x^7+8*x^7-31*q^2*x^7+21*q^3*x^7-q^4*x^7-2*q^5*x^7+16*q^-2*x^8+28*q^-1*x^8+16*x^8-4*q*x^8-44*q^2*x^8+42*q^3*x^8-5*q^4*x^8-8*q^5*x^8-3*q^-5*x^9-q^-4*x^9+30*q^-3*x^9+63*q^-2*x^9+56*q^-1*x^9+9*x^9-15*q*x^9-56*q^2*x^9+73*q^3*x^9-17*q^4*x^9-18*q^5*x^9+4*q^6*x^9-q^7*x^9+q^8*x^9-q^9*x^9-10*q^-7*x^10-14*q^-6*x^10-16*q^-5*x^10+47*q^-4*x^10+117*q^-3*x^10+123*q^-2*x^10+45*q^-1*x^10-32*x^10-27*q*x^10-56*q^2*x^10+113*q^3*x^10-38*q^4*x^10-28*q^5*x^10+23*q^6*x^10+q^8*x^10-5*q^9*x^10-2*q^10*x^10-q^11*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12n_660 | [-1, 2, -3, -3, -2, -2, -3, -1, -3, -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] | -q^-3*x^2+4*q^-3*x^3-q^-5*x^4-11*q^-4*x^4-5*q^-3*x^4-7*q^-2*x^4+12*q^-6*x^5+34*q^-5*x^5+36*q^-4*x^5+23*q^-3*x^5+14*q^-2*x^5+8*q^-1*x^5+10*x^5-q^-9*x^6-18*q^-8*x^6-84*q^-7*x^6-140*q^-6*x^6-151*q^-5*x^6-104*q^-4*x^6-99*q^-3*x^6-63*q^-2*x^6-48*q^-1*x^6-27*x^6-20*q*x^6-11*q^2*x^6-13*q^3*x^6+12*q^-11*x^7+66*q^-10*x^7+244*q^-9*x^7+476*q^-8*x^7+631*q^-7*x^7+612*q^-6*x^7+542*q^-5*x^7+465*q^-4*x^7+368*q^-3*x^7+280*q^-2*x^7+233*q^-1*x^7+160*x^7+122*q*x^7+81*q^2*x^7+56*q^3*x^7+36*q^4*x^7+26*q^5*x^7+14*q^6*x^7+16*q^7*x^7-q^-15*x^8-18*q^-14*x^8-103*q^-13*x^8-385*q^-12*x^8-963*q^-11*x^8-1822*q^-10*x^8-2491*q^-9*x^8-2840*q^-8*x^8-2724*q^-7*x^8-2548*q^-6*x^8-2224*q^-5*x^8-1924*q^-4*x^8-1587*q^-3*x^8-1351*q^-2*x^8-1041*q^-1*x^8-848*x^8-633*q*x^8-516*q^2*x^8-371*q^3*x^8-282*q^4*x^8-197*q^5*x^8-150*q^6*x^8-93*q^7*x^8-71*q^8*x^8-45*q^9*x^8-32*q^10*x^8-17*q^11*x^8-19*q^12*x^8+12*q^-18*x^9+66*q^-17*x^9+302*q^-16*x^9+946*q^-15*x^9+2412*q^-14*x^9+4801*q^-13*x^9+7906*q^-12*x^9+10683*q^-11*x^9+12454*q^-10*x^9+12985*q^-9*x^9+12655*q^-8*x^9+11858*q^-7*x^9+10855*q^-6*x^9+9592*q^-5*x^9+8412*q^-4*x^9+7233*q^-3*x^9+6112*q^-2*x^9+5074*q^-1*x^9+4233*x^9+3453*q*x^9+2784*q^2*x^9+2198*q^3*x^9+1748*q^4*x^9+1342*q^5*x^9+1077*q^6*x^9+794*q^7*x^9+611*q^8*x^9+448*q^9*x^9+336*q^10*x^9+235*q^11*x^9+172*q^12*x^9+114*q^13*x^9+86*q^14*x^9+54*q^15*x^9+38*q^16*x^9+20*q^17*x^9+22*q^18*x^9-q^-23*x^10-18*q^-22*x^10-103*q^-21*x^10-409*q^-20*x^10-1335*q^-19*x^10-3547*q^-18*x^10-8077*q^-17*x^10-15585*q^-16*x^10-26192*q^-15*x^10-38038*q^-14*x^10-49110*q^-13*x^10-56688*q^-12*x^10-60762*q^-11*x^10-61216*q^-10*x^10-59737*q^-9*x^10-56478*q^-8*x^10-52553*q^-7*x^10-47648*q^-6*x^10-43009*q^-5*x^10-38012*q^-4*x^10-33370*q^-3*x^10-28792*q^-2*x^10-24861*q^-1*x^10-21052*x^10-17816*q*x^10-14805*q^2*x^10-12375*q^3*x^10-10144*q^4*x^10-8393*q^5*x^10-6703*q^6*x^10-5449*q^7*x^10-4299*q^8*x^10-3443*q^9*x^10-2675*q^10*x^10-2133*q^11*x^10-1614*q^12*x^10-1263*q^13*x^10-935*q^14*x^10-718*q^15*x^10-522*q^16*x^10-393*q^17*x^10-267*q^18*x^10-205*q^19*x^10-135*q^20*x^10-101*q^21*x^10-63*q^22*x^10-44*q^23*x^10-23*q^24*x^10-25*q^25*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12a_662 | [-1, 2, -3, 4, -1, -2, 4, 3, -2, 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^4-2*q^-1*x^5-28*x^5+q*x^5-8*q^-2*x^6-14*q^-1*x^6-86*x^6+7*q*x^6+6*q^2*x^6-5*q^-4*x^7-23*q^-3*x^7-54*q^-2*x^7-62*q^-1*x^7-222*x^7+32*q*x^7+42*q^2*x^7+16*q^3*x^7-12*q^-6*x^8-21*q^-5*x^8-85*q^-4*x^8-160*q^-3*x^8-231*q^-2*x^8-202*q^-1*x^8-494*x^8+125*q*x^8+193*q^2*x^8+110*q^3*x^8+32*q^4*x^8-3*q^5*x^8-7*q^-9*x^9-26*q^-8*x^9-53*q^-7*x^9-141*q^-6*x^9-253*q^-5*x^9-517*q^-4*x^9-691*q^-3*x^9-735*q^-2*x^9-505*q^-1*x^9-915*x^9+483*q*x^9+716*q^2*x^9+501*q^3*x^9+212*q^4*x^9+30*q^5*x^9-13*q^6*x^9-10*q^7*x^9-16*q^-12*x^10-28*q^-11*x^10-81*q^-10*x^10-170*q^-9*x^10-349*q^-8*x^10-533*q^-7*x^10-984*q^-6*x^10-1444*q^-5*x^10-2120*q^-4*x^10-2208*q^-3*x^10-1811*q^-2*x^10-816*q^-1*x^10-1117*x^10+1811*q*x^10+2415*q^2*x^10+1827*q^3*x^10+927*q^4*x^10+211*q^5*x^10-37*q^6*x^10-117*q^7*x^10-41*q^8*x^10-20*q^9*x^10+q^10*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_663 | [-1, 2, 3, -4, -1, 2, 3, 3, 3, 2, -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] | -q*x^3-5*q*x^4-x^5-15*q*x^5+q^2*x^5-q^-1*x^6-5*x^6-36*q*x^6+5*q^2*x^6-q^3*x^6-q^-3*x^7-5*q^-1*x^7-19*x^7-74*q*x^7+13*q^2*x^7-5*q^3*x^7-2*q^4*x^7-2*q^-5*x^8-2*q^-4*x^8-3*q^-3*x^8+q^-2*x^8-25*q^-1*x^8-55*x^8-141*q*x^8+25*q^2*x^8-20*q^3*x^8-9*q^4*x^8-q^-8*x^9-3*q^-7*x^9-5*q^-6*x^9-13*q^-5*x^9-5*q^-4*x^9-14*q^-2*x^9-90*q^-1*x^9-143*x^9-255*q*x^9+33*q^2*x^9-59*q^3*x^9-32*q^4*x^9+q^5*x^9-2*q^6*x^9-2*q^7*x^9-2*q^-11*x^10-2*q^-10*x^10-6*q^-9*x^10-14*q^-8*x^10-24*q^-7*x^10-29*q^-6*x^10-34*q^-5*x^10+13*q^-4*x^10-14*q^-3*x^10-100*q^-2*x^10-280*q^-1*x^10-329*x^10-449*q*x^10+18*q^2*x^10-156*q^3*x^10-84*q^4*x^10-3*q^5*x^10-15*q^6*x^10-20*q^7*x^10-7*q^8*x^10-3*q^9*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_664 | [-1, 2, 3, -4, -1, 3, -4, 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] | -x^3-6*x^4-q^-1*x^5-21*x^5-2*q^-2*x^6-6*q^-1*x^6-58*x^6-2*q^2*x^6-q^-4*x^7-4*q^-3*x^7-12*q^-2*x^7-25*q^-1*x^7-138*x^7-12*q^2*x^7-7*q^3*x^7-2*q^-6*x^8-2*q^-5*x^8-14*q^-4*x^8-24*q^-3*x^8-48*q^-2*x^8-82*q^-1*x^8-297*x^8-2*q*x^8-42*q^2*x^8-42*q^3*x^8-14*q^4*x^8-q^-9*x^9-3*q^-8*x^9-4*q^-7*x^9-15*q^-6*x^9-27*q^-5*x^9-70*q^-4*x^9-92*q^-3*x^9-156*q^-2*x^9-232*q^-1*x^9-599*x^9-12*q*x^9-121*q^2*x^9-155*q^3*x^9-86*q^4*x^9-21*q^5*x^9-3*q^6*x^9-2*q^-12*x^10-2*q^-11*x^10-6*q^-10*x^10-12*q^-9*x^10-24*q^-8*x^10-28*q^-7*x^10-86*q^-6*x^10-140*q^-5*x^10-244*q^-4*x^10-291*q^-3*x^10-454*q^-2*x^10-600*q^-1*x^10-1157*x^10-58*q*x^10-314*q^2*x^10-466*q^3*x^10-328*q^4*x^10-132*q^5*x^10-46*q^6*x^10-14*q^7*x^10-8*q^8*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12a_664 | [-1, 2, -3, 4, -1, -2, 4, 3, 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^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+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+24*q^3*x^7+8*q^4*x^7+3*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^8-302*q^-2*x^8-522*q^-1*x^8-762*x^8-701*q*x^8-561*q^2*x^8+75*q^3*x^8+37*q^4*x^8+20*q^5*x^8+6*q^6*x^8-4*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^9-383*q^-5*x^9-779*q^-4*x^9-1252*q^-3*x^9-2022*q^-2*x^9-2544*q^-1*x^9-2708*x^9-1983*q*x^9-1195*q^2*x^9+231*q^3*x^9+159*q^4*x^9+104*q^5*x^9+51*q^6*x^9-4*q^7*x^9-19*q^8*x^9-8*q^9*x^9-3*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^10-398*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^10-7624*q^-3*x^10-9426*q^-2*x^10-9457*q^-1*x^10-8106*x^10-4893*q*x^10-2232*q^2*x^10+796*q^3*x^10+663*q^4*x^10+478*q^5*x^10+262*q^6*x^10+20*q^7*x^10-69*q^8*x^10-76*q^9*x^10-36*q^10*x^10-17*q^11*x^10-5*q^12*x^10-2*q^13*x^10-2*q^14*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_666 | [1, -2, 1, -2, 1, -2, 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^2*x^3-3*q^2*x^4+q^-1*x^5+2*q*x^5-6*q^2*x^5+q^3*x^5+3*q^-2*x^6+3*q^-1*x^6+2*x^6+6*q*x^6-11*q^2*x^6+3*q^3*x^6-q^-7*x^7-2*q^-4*x^7+4*q^-3*x^7+9*q^-2*x^7+5*q^-1*x^7+4*x^7+12*q*x^7-20*q^2*x^7+5*q^3*x^7-q^5*x^7-3*q^-9*x^8-3*q^-8*x^8-3*q^-7*x^8-2*q^-6*x^8-8*q^-5*x^8-2*q^-4*x^8+11*q^-3*x^8+17*q^-2*x^8+2*q^-1*x^8+8*x^8+20*q*x^8-33*q^2*x^8+8*q^3*x^8-3*q^5*x^8+q^-16*x^9+2*q^-12*x^9-4*q^-11*x^9-7*q^-10*x^9-15*q^-9*x^9-8*q^-8*x^9-10*q^-7*x^9-19*q^-6*x^9-22*q^-5*x^9+5*q^-4*x^9+25*q^-3*x^9+23*q^-2*x^9-3*q^-1*x^9+17*x^9+34*q*x^9-48*q^2*x^9+14*q^3*x^9+3*q^4*x^9-7*q^5*x^9+q^8*x^9+3*q^-19*x^10+3*q^-18*x^10+3*q^-17*x^10+3*q^-16*x^10+2*q^-15*x^10+8*q^-14*x^10+4*q^-13*x^10-23*q^-11*x^10-28*q^-10*x^10-28*q^-9*x^10-12*q^-8*x^10-39*q^-7*x^10-49*q^-6*x^10-32*q^-5*x^10+33*q^-4*x^10+42*q^-3*x^10+29*q^-2*x^10-11*q^-1*x^10+37*x^10+57*q*x^10-65*q^2*x^10+24*q^3*x^10+10*q^4*x^10-13*q^5*x^10-2*q^6*x^10-q^7*x^10+3*q^8*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_668 | [1, -2, 3, 1, 3, 2, 2, 2, 1, -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+3*q^3*x^5+2*x^6-19*q^2*x^6+12*q^3*x^6+q^4*x^6+7*q^-1*x^7+8*x^7-q*x^7-31*q^2*x^7+32*q^3*x^7+2*q^4*x^7-4*q^5*x^7-q^6*x^7+16*q^-2*x^8+28*q^-1*x^8+13*x^8-10*q*x^8-43*q^2*x^8+67*q^3*x^8-19*q^5*x^8-5*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+64*q^-2*x^9+50*q^-1*x^9-11*x^9-35*q*x^9-48*q^2*x^9+126*q^3*x^9-12*q^4*x^9-55*q^5*x^9-15*q^6*x^9-9*q^7*x^9+2*q^8*x^9+q^10*x^9-10*q^-7*x^10-14*q^-6*x^10-16*q^-5*x^10+50*q^-4*x^10+123*q^-3*x^10+116*q^-2*x^10-q^-1*x^10-105*x^10-66*q*x^10-12*q^2*x^10+224*q^3*x^10-41*q^4*x^10-128*q^5*x^10-33*q^6*x^10-19*q^7*x^10+15*q^8*x^10+5*q^9*x^10+6*q^10*x^10+2*q^11*x^10+2*q^12*x^10+2*q^13*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12n_670 | [-1, -2, -2, -1, -1, -1, 2, 3, 2, 2, -1, 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] | -x^3-2*x^4+q^2*x^4+q^-1*x^5-3*x^5+q*x^5+2*q^2*x^5+q^3*x^5-q^5*x^5+q^-2*x^6+2*q^-1*x^6-4*x^6+q*x^6+3*q^2*x^6+2*q^3*x^6-3*q^5*x^6-q^6*x^6-q^7*x^6+q^9*x^6+2*q^-2*x^7+2*q^-1*x^7-7*x^7+3*q^2*x^7+4*q^3*x^7+q^4*x^7-3*q^5*x^7-3*q^6*x^7-4*q^7*x^7+2*q^9*x^7+2*q^10*x^7+q^11*x^7+q^12*x^7-q^14*x^7-q^-5*x^8+3*q^-2*x^8+q^-1*x^8-10*x^8-2*q*x^8+3*q^2*x^8+8*q^3*x^8+5*q^4*x^8-q^5*x^8-2*q^6*x^8-8*q^7*x^8-3*q^8*x^8+q^9*x^8+3*q^10*x^8+4*q^11*x^8+5*q^12*x^8+2*q^13*x^8-2*q^14*x^8-q^15*x^8-2*q^16*x^8-q^17*x^8-q^18*x^8+q^20*x^8-q^-7*x^9-2*q^-5*x^9+q^-4*x^9+3*q^-3*x^9+5*q^-2*x^9+q^-1*x^9-12*x^9-5*q*x^9+2*q^2*x^9+13*q^3*x^9+9*q^4*x^9+4*q^5*x^9+2*q^6*x^9-12*q^7*x^9-11*q^8*x^9-5*q^9*x^9-q^10*x^9+3*q^11*x^9+11*q^12*x^9+7*q^13*x^9+2*q^14*x^9+q^15*x^9-4*q^16*x^9-5*q^17*x^9-6*q^18*x^9-3*q^19*x^9+q^21*x^9+q^22*x^9+2*q^23*x^9+q^24*x^9+q^25*x^9-q^27*x^9-2*q^-7*x^10+q^-6*x^10-q^-5*x^10+6*q^-4*x^10+7*q^-3*x^10+7*q^-2*x^10+q^-1*x^10-17*x^10-13*q*x^10-4*q^2*x^10+15*q^3*x^10+12*q^4*x^10+9*q^5*x^10+10*q^6*x^10-13*q^7*x^10-19*q^8*x^10-17*q^9*x^10-11*q^10*x^10-6*q^11*x^10+12*q^12*x^10+15*q^13*x^10+13*q^14*x^10+13*q^15*x^10+3*q^16*x^10-3*q^17*x^10-12*q^18*x^10-11*q^19*x^10-9*q^20*x^10-4*q^21*x^10-q^22*x^10+3*q^23*x^10+6*q^24*x^10+7*q^25*x^10+4*q^26*x^10+q^27*x^10+q^28*x^10-q^29*x^10-q^30*x^10-2*q^31*x^10-q^32*x^10-q^33*x^10+q^35*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12n_671 | [1, -2, -2, 1, 1, 1, 2, 3, 2, 2, 1, 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^3*x^3-q*x^4-4*q^3*x^4-q^-3*x^5-4*x^5-4*q*x^5-10*q^3*x^5+2*q^4*x^5-q^-9*x^6-4*q^-5*x^6-4*q^-4*x^6-4*q^-3*x^6-10*q^-1*x^6-16*x^6-8*q*x^6+2*q^2*x^6-20*q^3*x^6+8*q^4*x^6+2*q^5*x^6-q^-17*x^7-4*q^-12*x^7-4*q^-11*x^7-4*q^-10*x^7-4*q^-9*x^7-10*q^-7*x^7-16*q^-6*x^7-26*q^-5*x^7-14*q^-4*x^7-8*q^-3*x^7-18*q^-2*x^7-41*q^-1*x^7-33*x^7-3*q*x^7+10*q^2*x^7-33*q^3*x^7+22*q^4*x^7+7*q^5*x^7-q^-27*x^8-4*q^-21*x^8-4*q^-20*x^8-4*q^-19*x^8-4*q^-18*x^8-4*q^-17*x^8-10*q^-15*x^8-16*q^-14*x^8-26*q^-13*x^8-32*q^-12*x^8-24*q^-11*x^8-14*q^-10*x^8-28*q^-9*x^8-38*q^-8*x^8-81*q^-7*x^8-78*q^-6*x^8-65*q^-5*x^8-15*q^-4*x^8-38*q^-3*x^8-74*q^-2*x^8-84*q^-1*x^8-26*x^8+31*q*x^8+32*q^2*x^8-47*q^3*x^8+48*q^4*x^8+16*q^5*x^8-2*q^6*x^8-2*q^8*x^8-q^-39*x^9-4*q^-32*x^9-4*q^-31*x^9-4*q^-30*x^9-4*q^-29*x^9-4*q^-28*x^9-4*q^-27*x^9-10*q^-25*x^9-16*q^-24*x^9-26*q^-23*x^9-32*q^-22*x^9-42*q^-21*x^9-30*q^-20*x^9-24*q^-19*x^9-34*q^-18*x^9-48*q^-17*x^9-78*q^-16*x^9-125*q^-15*x^9-138*q^-14*x^9-130*q^-13*x^9-101*q^-12*x^9-82*q^-11*x^9-95*q^-10*x^9-187*q^-9*x^9-222*q^-8*x^9-255*q^-7*x^9-141*q^-6*x^9-53*q^-5*x^9-16*q^-4*x^9-114*q^-3*x^9-144*q^-2*x^9-72*q^-1*x^9+64*x^9+122*q*x^9+70*q^2*x^9-68*q^3*x^9+86*q^4*x^9+26*q^5*x^9-15*q^6*x^9-3*q^7*x^9-8*q^8*x^9-2*q^10*x^9-q^-53*x^10-4*q^-45*x^10-4*q^-44*x^10-4*q^-43*x^10-4*q^-42*x^10-4*q^-41*x^10-4*q^-40*x^10-4*q^-39*x^10-10*q^-37*x^10-16*q^-36*x^10-26*q^-35*x^10-32*q^-34*x^10-42*q^-33*x^10-48*q^-32*x^10-40*q^-31*x^10-30*q^-30*x^10-44*q^-29*x^10-54*q^-28*x^10-88*q^-27*x^10-122*q^-26*x^10-185*q^-25*x^10-202*q^-24*x^10-214*q^-23*x^10-186*q^-22*x^10-188*q^-21*x^10-163*q^-20*x^10-227*q^-19*x^10-339*q^-18*x^10-450*q^-17*x^10-518*q^-16*x^10-532*q^-15*x^10-405*q^-14*x^10-307*q^-13*x^10-248*q^-12*x^10-343*q^-11*x^10-471*q^-10*x^10-644*q^-9*x^10-514*q^-8*x^10-318*q^-7*x^10+39*q^-6*x^10+90*q^-5*x^10-14*q^-4*x^10-188*q^-3*x^10-104*q^-2*x^10+124*q^-1*x^10+302*x^10+266*q*x^10+85*q^2*x^10-128*q^3*x^10+120*q^4*x^10+19*q^5*x^10-54*q^6*x^10-18*q^7*x^10-24*q^8*x^10-8*q^10*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12n_672 | [1, -2, -2, 3, -4, -3, 1, 1, 2, -3, -3, -2, -4, -3, -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^-1*x^2-3*q^-1*x^3+5*q^-2*x^4-6*q^-1*x^4+x^4-q^-4*x^5+3*q^-3*x^5+16*q^-2*x^5-7*q^-1*x^5+3*x^5+5*q*x^5-q^-6*x^6-7*q^-5*x^6-15*q^-4*x^6+5*q^-3*x^6+36*q^-2*x^6-11*q^-1*x^6+3*x^6+16*q*x^6+11*q^2*x^6+3*q^-8*x^7+2*q^-7*x^7-10*q^-6*x^7-36*q^-5*x^7-62*q^-4*x^7-5*q^-3*x^7+55*q^-2*x^7-30*q^-1*x^7-29*x^7+16*q*x^7+36*q^2*x^7+17*q^3*x^7-5*q^4*x^7+3*q^-11*x^8+8*q^-10*x^8+24*q^-9*x^8+35*q^-8*x^8+46*q^-7*x^8-18*q^-6*x^8-99*q^-5*x^8-153*q^-4*x^8-19*q^-3*x^8+87*q^-2*x^8-81*q^-1*x^8-151*x^8-69*q*x^8+35*q^2*x^8+57*q^3*x^8+6*q^4*x^8-21*q^5*x^8-14*q^6*x^8-q^-15*x^9-3*q^-14*x^9-9*q^-13*x^9-5*q^-12*x^9+8*q^-11*x^9+51*q^-10*x^9+135*q^-9*x^9+207*q^-8*x^9+233*q^-7*x^9+41*q^-6*x^9-159*q^-5*x^9-223*q^-4*x^9+88*q^-3*x^9+288*q^-2*x^9-66*q^-1*x^9-377*x^9-359*q*x^9-114*q^2*x^9+84*q^3*x^9+67*q^4*x^9-31*q^5*x^9-96*q^6*x^9-52*q^7*x^9-23*q^8*x^9-q^-19*x^10-3*q^-18*x^10-13*q^-17*x^10-25*q^-16*x^10-50*q^-15*x^10-90*q^-14*x^10-135*q^-13*x^10-144*q^-12*x^10-102*q^-11*x^10+93*q^-10*x^10+412*q^-9*x^10+641*q^-8*x^10+656*q^-7*x^10+165*q^-6*x^10-212*q^-5*x^10-136*q^-4*x^10+687*q^-3*x^10+1190*q^-2*x^10+532*q^-1*x^10-441*x^10-846*q*x^10-567*q^2*x^10+16*q^3*x^10+279*q^4*x^10+175*q^5*x^10-129*q^6*x^10-237*q^7*x^10-192*q^8*x^10-74*q^9*x^10-23*q^10*x^10+14*q^11*x^10 | 10 | 16 | 16 | Yes | 12 |
| 12n_673 | [-1, -1, -1, -2, -2, -1, 2, 3, 2, 2, -1, 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] | -x^3-x^4+q^2*x^4+q^-1*x^5-x^5+q^2*x^5-q^5*x^5+q^-1*x^6-x^6-q*x^6+q^2*x^6-q^5*x^6+q^9*x^6-q^-3*x^7+q^-1*x^7-x^7-q*x^7+q^2*x^7+q^3*x^7+q^4*x^7+q^9*x^7-q^14*x^7-q^-3*x^8+q^-2*x^8+2*q^-1*x^8-q*x^8+q^2*x^8+q^3*x^8+q^4*x^8-q^7*x^8-q^8*x^8-q^10*x^8-q^14*x^8+q^20*x^8+q^-6*x^9+q^-2*x^9+2*q^-1*x^9-2*q*x^9-2*q^2*x^9-q^4*x^9-q^7*x^9-q^8*x^9+q^9*x^9-q^10*x^9+q^12*x^9+q^13*x^9+q^15*x^9+q^16*x^9+q^20*x^9-q^27*x^9+q^-6*x^10-q^-5*x^10-q^-4*x^10-q^-3*x^10+2*q^-1*x^10-3*q*x^10-2*q^2*x^10-q^4*x^10+q^5*x^10+3*q^6*x^10+q^7*x^10+q^8*x^10+3*q^9*x^10+q^12*x^10+q^13*x^10-q^14*x^10+q^16*x^10-q^18*x^10-q^19*x^10-q^21*x^10-q^22*x^10-q^23*x^10-q^27*x^10+q^35*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12a_673 | [-1, 2, -3, 4, -1, 2, 4, -3, 4, -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] | -q*x^3-7*q*x^4-2*x^5-28*q*x^5-q^2*x^5-2*q^-1*x^6-14*x^6-87*q*x^6-7*q^2*x^6-6*q^3*x^6-2*q^-3*x^7+2*q^-2*x^7-15*q^-1*x^7-62*x^7-233*q*x^7-34*q^2*x^7-38*q^3*x^7-18*q^4*x^7-5*q^5*x^7-4*q^-5*x^8-3*q^-4*x^8+10*q^-2*x^8-73*q^-1*x^8-215*x^8-569*q*x^8-133*q^2*x^8-164*q^3*x^8-118*q^4*x^8-70*q^5*x^8-22*q^6*x^8-12*q^7*x^8-2*q^-8*x^9-6*q^-7*x^9-9*q^-6*x^9-28*q^-5*x^9+11*q^-4*x^9+36*q^-3*x^9+20*q^-2*x^9-277*q^-1*x^9-635*x^9-1308*q*x^9-453*q^2*x^9-583*q^3*x^9-521*q^4*x^9-396*q^5*x^9-229*q^6*x^9-138*q^7*x^9-53*q^8*x^9-26*q^9*x^9-7*q^10*x^9-4*q^-11*x^10-4*q^-10*x^10-11*q^-9*x^10-33*q^-8*x^10-59*q^-7*x^10-67*q^-6*x^10-56*q^-5*x^10+151*q^-4*x^10+184*q^-3*x^10-16*q^-2*x^10-868*q^-1*x^10-1663*x^10-2882*q*x^10-1383*q^2*x^10-1850*q^3*x^10-1878*q^4*x^10-1665*q^5*x^10-1226*q^6*x^10-918*q^7*x^10-529*q^8*x^10-338*q^9*x^10-165*q^10*x^10-80*q^11*x^10-28*q^12*x^10-16*q^13*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_674 | [1, 1, 1, -2, -2, 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^3*x^3-q*x^4-3*q^3*x^4-q^-3*x^5-3*x^5-3*q*x^5+q^2*x^5-6*q^3*x^5+2*q^4*x^5-q^-9*x^6-3*q^-5*x^6-3*q^-4*x^6-3*q^-3*x^6+q^-2*x^6-5*q^-1*x^6-9*x^6-3*q*x^6+5*q^2*x^6-10*q^3*x^6+6*q^4*x^6+q^5*x^6-q^-17*x^7-3*q^-12*x^7-3*q^-11*x^7-3*q^-10*x^7-3*q^-9*x^7+q^-8*x^7-5*q^-7*x^7-8*q^-6*x^7-15*q^-5*x^7-6*q^-4*x^7-2*q^-2*x^7-15*q^-1*x^7-13*x^7+5*q*x^7+13*q^2*x^7-16*q^3*x^7+12*q^4*x^7+2*q^5*x^7-q^6*x^7-q^-27*x^8-3*q^-21*x^8-3*q^-20*x^8-3*q^-19*x^8-3*q^-18*x^8-3*q^-17*x^8+q^-16*x^8-5*q^-15*x^8-8*q^-14*x^8-14*q^-13*x^8-18*q^-12*x^8-12*q^-11*x^8-3*q^-10*x^8-7*q^-9*x^8-7*q^-8*x^8-30*q^-7*x^8-29*q^-6*x^8-22*q^-5*x^8+11*q^-4*x^8+6*q^-3*x^8-11*q^-2*x^8-24*q^-1*x^8-5*x^8+24*q*x^8+22*q^2*x^8-27*q^3*x^8+18*q^4*x^8+2*q^5*x^8-4*q^6*x^8-q^8*x^8-q^-39*x^9-3*q^-32*x^9-3*q^-31*x^9-3*q^-30*x^9-3*q^-29*x^9-3*q^-28*x^9-3*q^-27*x^9+q^-26*x^9-5*q^-25*x^9-8*q^-24*x^9-14*q^-23*x^9-17*q^-22*x^9-24*q^-21*x^9-15*q^-20*x^9-9*q^-19*x^9-10*q^-18*x^9-12*q^-17*x^9-22*q^-16*x^9-46*q^-15*x^9-52*q^-14*x^9-46*q^-13*x^9-27*q^-12*x^9-4*q^-11*x^9+6*q^-10*x^9-30*q^-9*x^9-43*q^-8*x^9-72*q^-7*x^9-23*q^-6*x^9+20*q^-5*x^9+49*q^-4*x^9+7*q^-3*x^9-28*q^-2*x^9-22*q^-1*x^9+18*x^9+48*q*x^9+23*q^2*x^9-50*q^3*x^9+21*q^4*x^9+q^5*x^9-11*q^6*x^9+q^7*x^9-3*q^8*x^9+q^9*x^9-q^10*x^9-q^-53*x^10-3*q^-45*x^10-3*q^-44*x^10-3*q^-43*x^10-3*q^-42*x^10-3*q^-41*x^10-3*q^-40*x^10-3*q^-39*x^10+q^-38*x^10-5*q^-37*x^10-8*q^-36*x^10-14*q^-35*x^10-17*q^-34*x^10-23*q^-33*x^10-27*q^-32*x^10-21*q^-31*x^10-12*q^-30*x^10-16*q^-29*x^10-15*q^-28*x^10-27*q^-27*x^10-38*q^-26*x^10-69*q^-25*x^10-76*q^-24*x^10-80*q^-23*x^10-59*q^-22*x^10-50*q^-21*x^10-15*q^-20*x^10-21*q^-19*x^10-54*q^-18*x^10-92*q^-17*x^10-121*q^-16*x^10-135*q^-15*x^10-76*q^-14*x^10-16*q^-13*x^10+38*q^-12*x^10+35*q^-11*x^10-7*q^-10*x^10-102*q^-9*x^10-89*q^-8*x^10-55*q^-7*x^10+83*q^-6*x^10+111*q^-5*x^10+73*q^-4*x^10-26*q^-3*x^10-57*q^-2*x^10-9*q^-1*x^10+44*x^10+62*q*x^10+q^2*x^10-91*q^3*x^10+24*q^4*x^10-2*q^5*x^10-20*q^6*x^10+5*q^7*x^10-5*q^8*x^10+4*q^9*x^10-3*q^10*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12a_674 | [-1, 4, -3, 4, 2, 4, -3, -3, -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] | -x^3-7*x^4-q^-1*x^5-28*x^5-2*q*x^5-3*q^-2*x^6-7*q^-1*x^6-89*x^6-14*q*x^6-7*q^2*x^6-2*q^-4*x^7-8*q^-3*x^7-20*q^-2*x^7-39*q^-1*x^7-247*x^7-68*q*x^7-47*q^2*x^7-19*q^3*x^7-5*q^4*x^7-4*q^-6*x^8-5*q^-5*x^8-30*q^-4*x^8-58*q^-3*x^8-102*q^-2*x^8-168*q^-1*x^8-647*x^8-261*q*x^8-215*q^2*x^8-134*q^3*x^8-74*q^4*x^8-21*q^5*x^8-12*q^6*x^8-2*q^-9*x^9-6*q^-8*x^9-9*q^-7*x^9-33*q^-6*x^9-73*q^-5*x^9-190*q^-4*x^9-293*q^-3*x^9-433*q^-2*x^9-645*q^-1*x^9-1657*x^9-907*q*x^9-807*q^2*x^9-623*q^3*x^9-453*q^4*x^9-235*q^5*x^9-137*q^6*x^9-52*q^7*x^9-26*q^8*x^9-7*q^9*x^9-4*q^-12*x^10-4*q^-11*x^10-12*q^-10*x^10-26*q^-9*x^10-58*q^-8*x^10-84*q^-7*x^10-243*q^-6*x^10-485*q^-5*x^10-912*q^-4*x^10-1237*q^-3*x^10-1684*q^-2*x^10-2283*q^-1*x^10-4330*x^10-2967*q*x^10-2782*q^2*x^10-2399*q^3*x^10-2030*q^4*x^10-1377*q^5*x^10-953*q^6*x^10-528*q^7*x^10-337*q^8*x^10-165*q^9*x^10-80*q^10*x^10-28*q^11*x^10-16*q^12*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_675 | [1, 1, 1, 2, 2, 1, 1, -2, -2, -2, -2, -2] | [-1, 1, -1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1] | -x^3-2*x^4+2*q^-1*x^5-3*x^5+q*x^5+q^-2*x^6+4*q^-1*x^6-4*x^6+2*q*x^6+q^2*x^6+q^-5*x^7+q^-2*x^7+6*q^-1*x^7-7*x^7+2*q*x^7+2*q^2*x^7+2*q^-6*x^8+q^-5*x^8-q^-3*x^8+q^-2*x^8+7*q^-1*x^8-11*x^8+3*q^2*x^8-q^5*x^8-2*q^-8*x^9+4*q^-6*x^9-q^-5*x^9-q^-4*x^9-2*q^-3*x^9+q^-2*x^9+9*q^-1*x^9-14*x^9-3*q*x^9+4*q^2*x^9+2*q^3*x^9+q^4*x^9-2*q^5*x^9-q^7*x^9-q^-10*x^10-5*q^-9*x^10-4*q^-8*x^10+6*q^-6*x^10-5*q^-5*x^10-2*q^-4*x^10-3*q^-3*x^10+3*q^-2*x^10+13*q^-1*x^10-16*x^10-6*q*x^10+4*q^2*x^10+5*q^3*x^10+6*q^4*x^10-2*q^5*x^10+q^6*x^10-2*q^7*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_679 | [1, 1, 1, 2, 2, 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^5*x^4-q^6*x^6+3*q^7*x^7-q^7*x^8-3*q^8*x^8+2*q^8*x^9+7*q^9*x^9+q^10*x^9-q^8*x^10-2*q^9*x^10-11*q^10*x^10-4*q^11*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12a_681 | [-1, 2, -3, 4, -1, 2, 2, 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] | -q^2*x^3-6*q^2*x^4-4*q*x^5-21*q^2*x^5+q^3*x^5-10*x^6-24*q*x^6-59*q^2*x^6+6*q^3*x^6-2*q^4*x^6-6*q^-2*x^7-21*q^-1*x^7-64*x^7-94*q*x^7-140*q^2*x^7+15*q^3*x^7-11*q^4*x^7-8*q^5*x^7-q^6*x^7-14*q^-4*x^8-22*q^-3*x^8-76*q^-2*x^8-149*q^-1*x^8-266*x^8-281*q*x^8-311*q^2*x^8+18*q^3*x^8-53*q^4*x^8-47*q^5*x^8-18*q^6*x^8-2*q^7*x^8-2*q^8*x^8-8*q^-7*x^9-29*q^-6*x^9-55*q^-5*x^9-141*q^-4*x^9-225*q^-3*x^9-455*q^-2*x^9-662*q^-1*x^9-859*x^9-756*q*x^9-686*q^2*x^9-65*q^3*x^9-223*q^4*x^9-202*q^5*x^9-98*q^6*x^9-35*q^7*x^9-11*q^8*x^9-4*q^9*x^9-3*q^10*x^9-q^11*x^9-18*q^-10*x^10-30*q^-9*x^10-86*q^-8*x^10-170*q^-7*x^10-331*q^-6*x^10-508*q^-5*x^10-898*q^-4*x^10-1277*q^-3*x^10-1954*q^-2*x^10-2305*q^-1*x^10-2472*x^10-1970*q*x^10-1658*q^2*x^10-567*q^3*x^10-868*q^4*x^10-749*q^5*x^10-427*q^6*x^10-203*q^7*x^10-86*q^8*x^10-34*q^9*x^10-29*q^10*x^10-12*q^11*x^10-6*q^12*x^10-2*q^13*x^10-2*q^14*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_681 | [-1, -1, -2, -2, -1, -1, 2, 3, 2, 2, -1, 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] | -x^3-2*x^4+q^2*x^4+q^-1*x^5-3*x^5+q*x^5+2*q^2*x^5+q^3*x^5-q^5*x^5+q^-2*x^6+2*q^-1*x^6-4*x^6+q*x^6+3*q^2*x^6+2*q^3*x^6-3*q^5*x^6-q^6*x^6-q^7*x^6+q^9*x^6+2*q^-2*x^7+2*q^-1*x^7-7*x^7+3*q^2*x^7+4*q^3*x^7+q^4*x^7-3*q^5*x^7-3*q^6*x^7-4*q^7*x^7+2*q^9*x^7+2*q^10*x^7+q^11*x^7+q^12*x^7-q^14*x^7-q^-5*x^8+3*q^-2*x^8+q^-1*x^8-10*x^8-2*q*x^8+3*q^2*x^8+8*q^3*x^8+5*q^4*x^8-q^5*x^8-2*q^6*x^8-8*q^7*x^8-3*q^8*x^8+q^9*x^8+3*q^10*x^8+4*q^11*x^8+5*q^12*x^8+2*q^13*x^8-2*q^14*x^8-q^15*x^8-2*q^16*x^8-q^17*x^8-q^18*x^8+q^20*x^8-q^-7*x^9-2*q^-5*x^9+q^-4*x^9+3*q^-3*x^9+5*q^-2*x^9+q^-1*x^9-12*x^9-5*q*x^9+2*q^2*x^9+13*q^3*x^9+9*q^4*x^9+4*q^5*x^9+2*q^6*x^9-12*q^7*x^9-11*q^8*x^9-5*q^9*x^9-q^10*x^9+3*q^11*x^9+11*q^12*x^9+7*q^13*x^9+2*q^14*x^9+q^15*x^9-4*q^16*x^9-5*q^17*x^9-6*q^18*x^9-3*q^19*x^9+q^21*x^9+q^22*x^9+2*q^23*x^9+q^24*x^9+q^25*x^9-q^27*x^9-2*q^-7*x^10+q^-6*x^10-q^-5*x^10+6*q^-4*x^10+7*q^-3*x^10+7*q^-2*x^10+q^-1*x^10-17*x^10-13*q*x^10-4*q^2*x^10+15*q^3*x^10+12*q^4*x^10+9*q^5*x^10+10*q^6*x^10-13*q^7*x^10-19*q^8*x^10-17*q^9*x^10-11*q^10*x^10-6*q^11*x^10+12*q^12*x^10+15*q^13*x^10+13*q^14*x^10+13*q^15*x^10+3*q^16*x^10-3*q^17*x^10-12*q^18*x^10-11*q^19*x^10-9*q^20*x^10-4*q^21*x^10-q^22*x^10+3*q^23*x^10+6*q^24*x^10+7*q^25*x^10+4*q^26*x^10+q^27*x^10+q^28*x^10-q^29*x^10-q^30*x^10-2*q^31*x^10-q^32*x^10-q^33*x^10+q^35*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12n_682 | [1, 1, -2, -2, 1, 1, 2, 3, 2, 2, 1, 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^3*x^3-q*x^4-4*q^3*x^4-q^-3*x^5-4*x^5-4*q*x^5-10*q^3*x^5+2*q^4*x^5-q^-9*x^6-4*q^-5*x^6-4*q^-4*x^6-4*q^-3*x^6-10*q^-1*x^6-16*x^6-8*q*x^6+2*q^2*x^6-20*q^3*x^6+8*q^4*x^6+2*q^5*x^6-q^-17*x^7-4*q^-12*x^7-4*q^-11*x^7-4*q^-10*x^7-4*q^-9*x^7-10*q^-7*x^7-16*q^-6*x^7-26*q^-5*x^7-14*q^-4*x^7-8*q^-3*x^7-18*q^-2*x^7-41*q^-1*x^7-33*x^7-3*q*x^7+10*q^2*x^7-33*q^3*x^7+22*q^4*x^7+7*q^5*x^7-q^-27*x^8-4*q^-21*x^8-4*q^-20*x^8-4*q^-19*x^8-4*q^-18*x^8-4*q^-17*x^8-10*q^-15*x^8-16*q^-14*x^8-26*q^-13*x^8-32*q^-12*x^8-24*q^-11*x^8-14*q^-10*x^8-28*q^-9*x^8-38*q^-8*x^8-81*q^-7*x^8-78*q^-6*x^8-65*q^-5*x^8-15*q^-4*x^8-38*q^-3*x^8-74*q^-2*x^8-84*q^-1*x^8-26*x^8+31*q*x^8+32*q^2*x^8-47*q^3*x^8+48*q^4*x^8+16*q^5*x^8-2*q^6*x^8-2*q^8*x^8-q^-39*x^9-4*q^-32*x^9-4*q^-31*x^9-4*q^-30*x^9-4*q^-29*x^9-4*q^-28*x^9-4*q^-27*x^9-10*q^-25*x^9-16*q^-24*x^9-26*q^-23*x^9-32*q^-22*x^9-42*q^-21*x^9-30*q^-20*x^9-24*q^-19*x^9-34*q^-18*x^9-48*q^-17*x^9-78*q^-16*x^9-125*q^-15*x^9-138*q^-14*x^9-130*q^-13*x^9-101*q^-12*x^9-82*q^-11*x^9-95*q^-10*x^9-187*q^-9*x^9-222*q^-8*x^9-255*q^-7*x^9-141*q^-6*x^9-53*q^-5*x^9-16*q^-4*x^9-114*q^-3*x^9-144*q^-2*x^9-72*q^-1*x^9+64*x^9+122*q*x^9+70*q^2*x^9-68*q^3*x^9+86*q^4*x^9+26*q^5*x^9-15*q^6*x^9-3*q^7*x^9-8*q^8*x^9-2*q^10*x^9-q^-53*x^10-4*q^-45*x^10-4*q^-44*x^10-4*q^-43*x^10-4*q^-42*x^10-4*q^-41*x^10-4*q^-40*x^10-4*q^-39*x^10-10*q^-37*x^10-16*q^-36*x^10-26*q^-35*x^10-32*q^-34*x^10-42*q^-33*x^10-48*q^-32*x^10-40*q^-31*x^10-30*q^-30*x^10-44*q^-29*x^10-54*q^-28*x^10-88*q^-27*x^10-122*q^-26*x^10-185*q^-25*x^10-202*q^-24*x^10-214*q^-23*x^10-186*q^-22*x^10-188*q^-21*x^10-163*q^-20*x^10-227*q^-19*x^10-339*q^-18*x^10-450*q^-17*x^10-518*q^-16*x^10-532*q^-15*x^10-405*q^-14*x^10-307*q^-13*x^10-248*q^-12*x^10-343*q^-11*x^10-471*q^-10*x^10-644*q^-9*x^10-514*q^-8*x^10-318*q^-7*x^10+39*q^-6*x^10+90*q^-5*x^10-14*q^-4*x^10-188*q^-3*x^10-104*q^-2*x^10+124*q^-1*x^10+302*x^10+266*q*x^10+85*q^2*x^10-128*q^3*x^10+120*q^4*x^10+19*q^5*x^10-54*q^6*x^10-18*q^7*x^10-24*q^8*x^10-8*q^10*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12n_683 | [-1, -2, -2, -2, 1, -2, -1, -1, -1, 2, -1, 2] | [1, -1, -1, 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, -1] | -q^-2*x^3-3*q^-2*x^4+2*q^-3*x^5-6*q^-2*x^5+2*q^-1*x^5+q*x^5+2*q^-4*x^6+6*q^-3*x^6-11*q^-2*x^6+6*q^-1*x^6+2*x^6+3*q*x^6+3*q^2*x^6+5*q^-4*x^7+11*q^-3*x^7-22*q^-2*x^7+11*q^-1*x^7+3*x^7+4*q*x^7+9*q^2*x^7+4*q^3*x^7-2*q^4*x^7-q^7*x^7-2*q^-7*x^8-2*q^-5*x^8+10*q^-4*x^8+15*q^-3*x^8-42*q^-2*x^8+13*q^-1*x^8+2*x^8-4*q*x^8+14*q^2*x^8+11*q^3*x^8-2*q^4*x^8-8*q^5*x^8-2*q^6*x^8-3*q^7*x^8-3*q^8*x^8-3*q^9*x^8-2*q^-9*x^9-6*q^-7*x^9-4*q^-5*x^9+20*q^-4*x^9+19*q^-3*x^9-72*q^-2*x^9+14*q^-1*x^9-23*q*x^9+11*q^2*x^9+23*q^3*x^9+8*q^4*x^9-21*q^5*x^9-18*q^6*x^9-9*q^7*x^9-7*q^8*x^9-15*q^9*x^9-7*q^10*x^9-4*q^11*x^9+2*q^12*x^9+q^16*x^9-6*q^-9*x^10+3*q^-8*x^10-12*q^-7*x^10+4*q^-6*x^10-3*q^-5*x^10+42*q^-4*x^10+27*q^-3*x^10-111*q^-2*x^10+22*q^-1*x^10+6*x^10-51*q*x^10+40*q^3*x^10+50*q^4*x^10-14*q^5*x^10-38*q^6*x^10-30*q^7*x^10-3*q^8*x^10-22*q^9*x^10-25*q^10*x^10-23*q^11*x^10+4*q^13*x^10+8*q^14*x^10+2*q^15*x^10+3*q^16*x^10+3*q^17*x^10+3*q^18*x^10+3*q^19*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12a_683 | [-1, 2, -3, 4, -1, 2, 4, 4, -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] | -q^2*x^3-6*q^2*x^4-4*q*x^5-21*q^2*x^5-q^3*x^5-10*x^6-24*q*x^6-60*q^2*x^6-6*q^3*x^6-8*q^4*x^6-6*q^-2*x^7-21*q^-1*x^7-64*x^7-96*q*x^7-154*q^2*x^7-37*q^3*x^7-44*q^4*x^7-20*q^5*x^7-5*q^6*x^7-14*q^-4*x^8-22*q^-3*x^8-76*q^-2*x^8-150*q^-1*x^8-270*x^8-316*q*x^8-407*q^2*x^8-176*q^3*x^8-196*q^4*x^8-120*q^5*x^8-66*q^6*x^8-20*q^7*x^8-12*q^8*x^8-8*q^-7*x^9-29*q^-6*x^9-55*q^-5*x^9-141*q^-4*x^9-227*q^-3*x^9-459*q^-2*x^9-686*q^-1*x^9-953*x^9-1021*q*x^9-1156*q^2*x^9-753*q^3*x^9-768*q^4*x^9-559*q^5*x^9-373*q^6*x^9-209*q^7*x^9-124*q^8*x^9-51*q^9*x^9-26*q^10*x^9-7*q^11*x^9-18*q^-10*x^10-30*q^-9*x^10-86*q^-8*x^10-170*q^-7*x^10-332*q^-6*x^10-512*q^-5*x^10-906*q^-4*x^10-1324*q^-3*x^10-2070*q^-2*x^10-2650*q^-1*x^10-3240*x^10-3370*q*x^10-3629*q^2*x^10-2934*q^3*x^10-2884*q^4*x^10-2293*q^5*x^10-1748*q^6*x^10-1200*q^7*x^10-846*q^8*x^10-490*q^9*x^10-318*q^10*x^10-158*q^11*x^10-80*q^12*x^10-28*q^13*x^10-16*q^14*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_684 | [-1, -2, -2, -2, -1, 2, -1, -1, -1, 2, -1, 2] | [-1, -1, -1, 1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1] | -q^-2*x^3-3*q^-2*x^4+q^-3*x^5-6*q^-2*x^5+2*q^-1*x^5+q*x^5+3*q^-3*x^6-10*q^-2*x^6+6*q^-1*x^6+2*x^6+3*q*x^6+3*q^2*x^6-q^-5*x^7+6*q^-3*x^7-17*q^-2*x^7+13*q^-1*x^7+4*x^7+5*q*x^7+9*q^2*x^7+4*q^3*x^7-2*q^4*x^7-q^7*x^7-3*q^-5*x^8+10*q^-3*x^8-26*q^-2*x^8+21*q^-1*x^8+7*x^8+2*q*x^8+16*q^2*x^8+10*q^3*x^8-2*q^4*x^8-8*q^5*x^8-2*q^6*x^8-3*q^7*x^8-3*q^8*x^8-3*q^9*x^8+q^-8*x^9-7*q^-5*x^9+2*q^-4*x^9+17*q^-3*x^9-37*q^-2*x^9+33*q^-1*x^9+11*x^9-7*q*x^9+18*q^2*x^9+19*q^3*x^9+q^4*x^9-23*q^5*x^9-19*q^6*x^9-10*q^7*x^9-8*q^8*x^9-15*q^9*x^9-7*q^10*x^9-4*q^11*x^9+2*q^12*x^9+q^16*x^9+3*q^-8*x^10-q^-6*x^10-13*q^-5*x^10+8*q^-4*x^10+28*q^-3*x^10-48*q^-2*x^10+50*q^-1*x^10+20*x^10-23*q*x^10+15*q^2*x^10+24*q^3*x^10+15*q^4*x^10-40*q^5*x^10-49*q^6*x^10-38*q^7*x^10-12*q^8*x^10-27*q^9*x^10-27*q^10*x^10-22*q^11*x^10+4*q^13*x^10+8*q^14*x^10+2*q^15*x^10+3*q^16*x^10+3*q^17*x^10+3*q^18*x^10+3*q^19*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_686 | [1, 3, -2, 3, -2, 3, 3, 3, -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+3*q^3*x^5+2*x^6-18*q^2*x^6+12*q^3*x^6+2*q^4*x^6+7*q^-1*x^7+8*x^7+q*x^7-27*q^2*x^7+34*q^3*x^7+6*q^4*x^7-2*q^5*x^7-q^6*x^7+16*q^-2*x^8+28*q^-1*x^8+16*x^8-2*q*x^8-31*q^2*x^8+72*q^3*x^8+11*q^4*x^8-12*q^5*x^8-5*q^6*x^8-4*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+52*q^-1*x^9+x^9-15*q*x^9-29*q^2*x^9+130*q^3*x^9+6*q^4*x^9-42*q^5*x^9-20*q^6*x^9-19*q^7*x^9-3*q^8*x^9-2*q^9*x^9+q^10*x^9-10*q^-7*x^10-14*q^-6*x^10-16*q^-5*x^10+46*q^-4*x^10+112*q^-3*x^10+106*q^-2*x^10+5*q^-1*x^10-80*x^10-47*q*x^10-11*q^2*x^10+202*q^3*x^10-25*q^4*x^10-115*q^5*x^10-56*q^6*x^10-54*q^7*x^10-7*q^8*x^10-5*q^9*x^10+6*q^10*x^10+4*q^11*x^10+3*q^12*x^10+2*q^13*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12n_688 | [1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2] | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] | -q^5*x^4-q^6*x^6+4*q^7*x^7-q^7*x^8-5*q^8*x^8+3*q^8*x^9+10*q^9*x^9+q^10*x^9-q^8*x^10-4*q^9*x^10-18*q^10*x^10-7*q^11*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_690 | [1, 1, 4, -3, 2, -3, -2, -2, 1, -4, -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^2-q*x^3+3*q^3*x^3+q^5*x^3-q*x^4-q^2*x^4+3*q^3*x^4-4*q^4*x^4-6*q^6*x^4-2*q^7*x^4-2*q^8*x^4-3*q^9*x^4-q^10*x^4-q^12*x^4-q*x^5-q^2*x^5+5*q^3*x^5-3*q^4*x^5+6*q^5*x^5-3*q^6*x^5+8*q^7*x^5+12*q^8*x^5+3*q^9*x^5+13*q^10*x^5+11*q^11*x^5+9*q^12*x^5+6*q^13*x^5+8*q^14*x^5+5*q^15*x^5+5*q^16*x^5+2*q^17*x^5+3*q^18*x^5+q^19*x^5+q^20*x^5+q^22*x^5-q*x^6+4*q^3*x^6-3*q^4*x^6+4*q^5*x^6-12*q^6*x^6-q^7*x^6+2*q^8*x^6-28*q^9*x^6-10*q^10*x^6-19*q^11*x^6-30*q^12*x^6-41*q^13*x^6-26*q^14*x^6-39*q^15*x^6-34*q^16*x^6-40*q^17*x^6-30*q^18*x^6-26*q^19*x^6-24*q^20*x^6-26*q^21*x^6-19*q^22*x^6-18*q^23*x^6-10*q^24*x^6-10*q^25*x^6-7*q^26*x^6-8*q^27*x^6-5*q^28*x^6-3*q^29*x^6-3*q^30*x^6-q^31*x^6-q^32*x^6-q^33*x^6-q^35*x^6+4*q^3*x^7-q^4*x^7+5*q^5*x^7-13*q^6*x^7+10*q^7*x^7+16*q^8*x^7-15*q^9*x^7+27*q^10*x^7+38*q^11*x^7+27*q^12*x^7+32*q^13*x^7+85*q^14*x^7+87*q^15*x^7+91*q^16*x^7+95*q^17*x^7+126*q^18*x^7+151*q^19*x^7+134*q^20*x^7+135*q^21*x^7+129*q^22*x^7+135*q^23*x^7+140*q^24*x^7+127*q^25*x^7+109*q^26*x^7+104*q^27*x^7+90*q^28*x^7+91*q^29*x^7+75*q^30*x^7+69*q^31*x^7+50*q^32*x^7+48*q^33*x^7+39*q^34*x^7+36*q^35*x^7+30*q^36*x^7+25*q^37*x^7+15*q^38*x^7+15*q^39*x^7+9*q^40*x^7+10*q^41*x^7+8*q^42*x^7+6*q^43*x^7+3*q^44*x^7+4*q^45*x^7+q^46*x^7+q^47*x^7+q^48*x^7+q^49*x^7+q^51*x^7+x^8+5*q^3*x^8-3*q^4*x^8+q^5*x^8-15*q^6*x^8+10*q^7*x^8+q^8*x^8-34*q^9*x^8+10*q^10*x^8+8*q^11*x^8-55*q^12*x^8-71*q^13*x^8-29*q^14*x^8-69*q^15*x^8-161*q^16*x^8-206*q^17*x^8-206*q^18*x^8-202*q^19*x^8-330*q^20*x^8-383*q^21*x^8-448*q^22*x^8-438*q^23*x^8-458*q^24*x^8-513*q^25*x^8-578*q^26*x^8-561*q^27*x^8-577*q^28*x^8-532*q^29*x^8-546*q^30*x^8-534*q^31*x^8-554*q^32*x^8-506*q^33*x^8-478*q^34*x^8-429*q^35*x^8-401*q^36*x^8-366*q^37*x^8-360*q^38*x^8-316*q^39*x^8-296*q^40*x^8-247*q^41*x^8-220*q^42*x^8-191*q^43*x^8-174*q^44*x^8-146*q^45*x^8-136*q^46*x^8-112*q^47*x^8-93*q^48*x^8-77*q^49*x^8-68*q^50*x^8-53*q^51*x^8-49*q^52*x^8-39*q^53*x^8-32*q^54*x^8-23*q^55*x^8-20*q^56*x^8-14*q^57*x^8-13*q^58*x^8-10*q^59*x^8-9*q^60*x^8-6*q^61*x^8-4*q^62*x^8-4*q^63*x^8-2*q^64*x^8-q^65*x^8-q^66*x^8-q^67*x^8-q^68*x^8-q^70*x^8+q^-1*x^9+x^9+q^2*x^9+4*q^3*x^9-8*q^4*x^9+4*q^5*x^9-9*q^6*x^9+10*q^7*x^9+q^8*x^9-14*q^9*x^9+44*q^10*x^9+35*q^11*x^9-26*q^12*x^9+9*q^13*x^9+121*q^14*x^9+113*q^15*x^9+41*q^16*x^9+89*q^17*x^9+276*q^18*x^9+432*q^19*x^9+379*q^20*x^9+445*q^21*x^9+586*q^22*x^9+860*q^23*x^9+1077*q^24*x^9+1118*q^25*x^9+1190*q^26*x^9+1414*q^27*x^9+1635*q^28*x^9+1869*q^29*x^9+1988*q^30*x^9+2024*q^31*x^9+2059*q^32*x^9+2189*q^33*x^9+2318*q^34*x^9+2378*q^35*x^9+2422*q^36*x^9+2371*q^37*x^9+2310*q^38*x^9+2268*q^39*x^9+2238*q^40*x^9+2198*q^41*x^9+2145*q^42*x^9+2019*q^43*x^9+1919*q^44*x^9+1792*q^45*x^9+1680*q^46*x^9+1568*q^47*x^9+1501*q^48*x^9+1376*q^49*x^9+1274*q^50*x^9+1150*q^51*x^9+1042*q^52*x^9+923*q^53*x^9+849*q^54*x^9+757*q^55*x^9+692*q^56*x^9+615*q^57*x^9+553*q^58*x^9+473*q^59*x^9+420*q^60*x^9+354*q^61*x^9+317*q^62*x^9+264*q^63*x^9+238*q^64*x^9+201*q^65*x^9+179*q^66*x^9+143*q^67*x^9+127*q^68*x^9+104*q^69*x^9+87*q^70*x^9+71*q^71*x^9+63*q^72*x^9+48*q^73*x^9+42*q^74*x^9+30*q^75*x^9+28*q^76*x^9+20*q^77*x^9+18*q^78*x^9+13*q^79*x^9+12*q^80*x^9+9*q^81*x^9+7*q^82*x^9+4*q^83*x^9+5*q^84*x^9+2*q^85*x^9+2*q^86*x^9+q^87*x^9+q^88*x^9+q^89*x^9+q^90*x^9+q^92*x^9+q^-2*x^10+q^-1*x^10+x^10+q*x^10-q^2*x^10-q^3*x^10-6*q^4*x^10+7*q^5*x^10-13*q^6*x^10+3*q^8*x^10-7*q^9*x^10+27*q^10*x^10-18*q^11*x^10-75*q^12*x^10-32*q^13*x^10+61*q^14*x^10-64*q^15*x^10-229*q^16*x^10-227*q^17*x^10-64*q^18*x^10-91*q^19*x^10-455*q^20*x^10-727*q^21*x^10-792*q^22*x^10-751*q^23*x^10-906*q^24*x^10-1568*q^25*x^10-2128*q^26*x^10-2458*q^27*x^10-2647*q^28*x^10-2997*q^29*x^10-3597*q^30*x^10-4493*q^31*x^10-5210*q^32*x^10-5714*q^33*x^10-6016*q^34*x^10-6579*q^35*x^10-7104*q^36*x^10-7864*q^37*x^10-8441*q^38*x^10-8925*q^39*x^10-9122*q^40*x^10-9366*q^41*x^10-9563*q^42*x^10-9918*q^43*x^10-10071*q^44*x^10-10285*q^45*x^10-10243*q^46*x^10-10181*q^47*x^10-9906*q^48*x^10-9780*q^49*x^10-9542*q^50*x^10-9409*q^51*x^10-9123*q^52*x^10-8891*q^53*x^10-8482*q^54*x^10-8121*q^55*x^10-7654*q^56*x^10-7276*q^57*x^10-6829*q^58*x^10-6493*q^59*x^10-6081*q^60*x^10-5725*q^61*x^10-5287*q^62*x^10-4941*q^63*x^10-4511*q^64*x^10-4164*q^65*x^10-3796*q^66*x^10-3510*q^67*x^10-3178*q^68*x^10-2921*q^69*x^10-2632*q^70*x^10-2387*q^71*x^10-2126*q^72*x^10-1914*q^73*x^10-1690*q^74*x^10-1529*q^75*x^10-1338*q^76*x^10-1205*q^77*x^10-1066*q^78*x^10-945*q^79*x^10-819*q^80*x^10-724*q^81*x^10-622*q^82*x^10-543*q^83*x^10-461*q^84*x^10-403*q^85*x^10-343*q^86*x^10-304*q^87*x^10-255*q^88*x^10-219*q^89*x^10-186*q^90*x^10-161*q^91*x^10-130*q^92*x^10-113*q^93*x^10-90*q^94*x^10-77*q^95*x^10-63*q^96*x^10-52*q^97*x^10-40*q^98*x^10-36*q^99*x^10-28*q^100*x^10-24*q^101*x^10-19*q^102*x^10-15*q^103*x^10-12*q^104*x^10-11*q^105*x^10-7*q^106*x^10-5*q^107*x^10-5*q^108*x^10-3*q^109*x^10-2*q^110*x^10-2*q^111*x^10-q^112*x^10-q^113*x^10-q^114*x^10-q^115*x^10-q^117*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_693 | [1, 2, 2, -3, 1, 1, 2, 2, 3, 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] | -q^3*x^3-3*q^3*x^4-2*q^2*x^5-6*q^3*x^5-2*q^4*x^5-5*q*x^6-6*q^2*x^6-11*q^3*x^6-6*q^4*x^6+q^5*x^6-3*q^-1*x^7-10*x^7-15*q*x^7-14*q^2*x^7-22*q^3*x^7-15*q^4*x^7+q^5*x^7-q^6*x^7-q^7*x^7-7*q^-3*x^8-10*q^-2*x^8-26*q^-1*x^8-31*x^8-35*q*x^8-37*q^2*x^8-48*q^3*x^8-28*q^4*x^8-3*q^6*x^8-4*q^7*x^8+q^8*x^8-4*q^-6*x^9-14*q^-5*x^9-24*q^-4*x^9-42*q^-3*x^9-58*q^-2*x^9-75*q^-1*x^9-80*x^9-94*q*x^9-98*q^2*x^9-87*q^3*x^9-48*q^4*x^9-8*q^5*x^9-19*q^6*x^9-11*q^7*x^9-2*q^8*x^9-3*q^9*x^9-3*q^10*x^9-9*q^-9*x^10-14*q^-8*x^10-38*q^-7*x^10-60*q^-6*x^10-94*q^-5*x^10-113*q^-4*x^10-156*q^-3*x^10-177*q^-2*x^10-206*q^-1*x^10-228*x^10-238*q*x^10-195*q^2*x^10-150*q^3*x^10-95*q^4*x^10-53*q^5*x^10-58*q^6*x^10-24*q^7*x^10-8*q^8*x^10-16*q^9*x^10-13*q^10*x^10+q^11*x^10+q^12*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12a_693 | [-1, 2, -3, -1, -3, -3, 4, 2, -3, -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] | -q^-2*x^3-6*q^-2*x^4+q^-3*x^5-21*q^-2*x^5-4*q^-1*x^5-2*q^-4*x^6+6*q^-3*x^6-58*q^-2*x^6-24*q^-1*x^6-10*x^6-q^-6*x^7-7*q^-5*x^7-11*q^-4*x^7+17*q^-3*x^7-134*q^-2*x^7-92*q^-1*x^7-64*x^7-21*q*x^7-6*q^2*x^7-2*q^-8*x^8-2*q^-7*x^8-14*q^-6*x^8-40*q^-5*x^8-50*q^-4*x^8+28*q^-3*x^8-283*q^-2*x^8-266*q^-1*x^8-262*x^8-148*q*x^8-76*q^2*x^8-22*q^3*x^8-14*q^4*x^8-q^-11*x^9-3*q^-10*x^9-4*q^-9*x^9-11*q^-8*x^9-24*q^-7*x^9-71*q^-6*x^9-166*q^-5*x^9-201*q^-4*x^9-21*q^-3*x^9-585*q^-2*x^9-674*q^-1*x^9-819*x^9-650*q*x^9-451*q^2*x^9-223*q^3*x^9-141*q^4*x^9-55*q^5*x^9-29*q^6*x^9-8*q^7*x^9-2*q^-14*x^10-2*q^-13*x^10-6*q^-12*x^10-12*q^-11*x^10-26*q^-10*x^10-28*q^-9*x^10-62*q^-8*x^10-130*q^-7*x^10-290*q^-6*x^10-587*q^-5*x^10-742*q^-4*x^10-392*q^-3*x^10-1321*q^-2*x^10-1632*q^-1*x^10-2226*x^10-2186*q*x^10-1910*q^2*x^10-1258*q^3*x^10-890*q^4*x^10-504*q^5*x^10-330*q^6*x^10-170*q^7*x^10-86*q^8*x^10-30*q^9*x^10-18*q^10*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_694 | [1, -2, 1, 2, 3, 3, 2, 2, 1, 1, 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] | -q^4*x^3+q^4*x^4-q^3*x^5-3*q^5*x^5+q*x^6+2*q^4*x^6+3*q^5*x^6+7*q^6*x^6-q^-2*x^7-2*q^2*x^7-2*q^3*x^7-3*q^4*x^7-3*q^5*x^7-11*q^6*x^7-12*q^7*x^7-2*q^8*x^7+q^-6*x^8+2*q^-1*x^8+2*x^8+2*q*x^8+3*q^2*x^8+3*q^3*x^8+6*q^4*x^8+11*q^5*x^8+12*q^6*x^8+24*q^7*x^8+31*q^8*x^8+11*q^9*x^8-q^-11*x^9-2*q^-5*x^9-2*q^-4*x^9-2*q^-3*x^9-2*q^-2*x^9-3*q^-1*x^9-3*x^9-6*q*x^9-7*q^2*x^9-14*q^3*x^9-12*q^4*x^9-18*q^5*x^9-27*q^6*x^9-39*q^7*x^9-52*q^8*x^9-74*q^9*x^9-44*q^10*x^9-10*q^11*x^9+q^-17*x^10+2*q^-10*x^10+2*q^-9*x^10+2*q^-8*x^10+2*q^-7*x^10+2*q^-6*x^10+3*q^-5*x^10+3*q^-4*x^10+6*q^-3*x^10+7*q^-2*x^10+10*q^-1*x^10+15*x^10+15*q*x^10+18*q^2*x^10+24*q^3*x^10+37*q^4*x^10+43*q^5*x^10+54*q^6*x^10+75*q^7*x^10+97*q^8*x^10+126*q^9*x^10+166*q^10*x^10+144*q^11*x^10+70*q^12*x^10+15*q^13*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12n_695 | [-1, 3, 3, -1, -2, 3, 3, -1, 3, -1, -2, 1, -2] | [1, -1, 1, -1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1] | -x^3-3*x^4+q^-1*x^5-6*x^5+3*q*x^5-q^-2*x^6+3*q^-1*x^6-9*x^6+9*q*x^6+3*q^2*x^6-3*q^-3*x^7-3*q^-2*x^7+8*q^-1*x^7-15*x^7+18*q*x^7+6*q^2*x^7-q^3*x^7+q^-5*x^8-q^-4*x^8-9*q^-3*x^8-2*q^-2*x^8+18*q^-1*x^8-23*x^8+25*q*x^8+7*q^2*x^8-9*q^3*x^8-q^4*x^8-4*q^5*x^8+2*q^-6*x^9+4*q^-5*x^9-3*q^-4*x^9-13*q^-3*x^9+10*q^-2*x^9+38*q^-1*x^9-35*x^9+29*q*x^9+5*q^2*x^9-24*q^3*x^9-4*q^4*x^9-9*q^5*x^9-q^6*x^9-5*q^7*x^9-q^-9*x^10-3*q^-8*x^10-q^-7*x^10+9*q^-6*x^10+10*q^-5*x^10-4*q^-4*x^10-14*q^-3*x^10+37*q^-2*x^10+64*q^-1*x^10-57*x^10+25*q*x^10+4*q^2*x^10-44*q^3*x^10-6*q^5*x^10+10*q^6*x^10-14*q^7*x^10-q^8*x^10-q^9*x^10 | 10 | 13 | 13 | Yes | 12 |