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 |
|---|---|---|---|---|---|---|---|---|
| 12a_451 | [-1, 2, -3, 4, -1, 2, 4, 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] | -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^6-88*q*x^6+7*q^2*x^6+q^3*x^6-2*q^-3*x^7+2*q^-2*x^7-15*q^-1*x^7-67*x^7-236*q*x^7+23*q^2*x^7+8*q^3*x^7-3*q^4*x^7-q^5*x^7-4*q^-5*x^8-3*q^-4*x^8+11*q^-2*x^8-88*q^-1*x^8-249*x^8-578*q*x^8+58*q^2*x^8+26*q^3*x^8-20*q^4*x^8-17*q^5*x^8-5*q^6*x^8-2*q^7*x^8-2*q^-8*x^9-6*q^-7*x^9-9*q^-6*x^9-28*q^-5*x^9+13*q^-4*x^9+41*q^-3*x^9-6*q^-2*x^9-397*q^-1*x^9-807*x^9-1327*q*x^9+107*q^2*x^9+60*q^3*x^9-101*q^4*x^9-103*q^5*x^9-62*q^6*x^9-19*q^7*x^9-8*q^8*x^9-3*q^9*x^9-q^10*x^9-4*q^-11*x^10-4*q^-10*x^10-11*q^-9*x^10-33*q^-8*x^10-58*q^-7*x^10-63*q^-6*x^10-44*q^-5*x^10+190*q^-4*x^10+158*q^-3*x^10-281*q^-2*x^10-1520*q^-1*x^10-2355*x^10-2937*q*x^10+130*q^2*x^10+61*q^3*x^10-406*q^4*x^10-475*q^5*x^10-346*q^6*x^10-160*q^7*x^10-69*q^8*x^10-34*q^9*x^10-15*q^10*x^10-6*q^11*x^10-2*q^12*x^10-2*q^13*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_451 | [-1, 2, -3, -1, 2, -3, -2, 3, -2, -3, 2, -3, -2] | [1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -1] | -q^-1*x^2-2*q^-1*x^3+2*q^-2*x^4-3*q^-1*x^4+x^4+2*q^2*x^4+2*q^-3*x^5+4*q^-2*x^5-4*q^-1*x^5+2*x^5+4*q^2*x^5+3*q^3*x^5-q^-5*x^6-q^-4*x^6+4*q^-3*x^6+5*q^-2*x^6-7*q^-1*x^6+2*x^6-4*q*x^6+3*q^2*x^6+6*q^3*x^6+2*q^4*x^6-2*q^5*x^6-q^7*x^6-3*q^8*x^6-q^-7*x^7-4*q^-6*x^7-3*q^-5*x^7-2*q^-4*x^7+6*q^-3*x^7+4*q^-2*x^7-11*q^-1*x^7-2*x^7-13*q*x^7-4*q^2*x^7+7*q^3*x^7+4*q^4*x^7-2*q^5*x^7-3*q^6*x^7-2*q^7*x^7-8*q^8*x^7-6*q^9*x^7-4*q^10*x^7+q^-9*x^8-2*q^-8*x^8-2*q^-7*x^8-9*q^-6*x^8-3*q^-5*x^8+q^-4*x^8+11*q^-3*x^8+6*q^-2*x^8-10*q^-1*x^8-5*x^8-24*q*x^8-15*q^2*x^8+7*q^3*x^8+10*q^4*x^8+3*q^5*x^8+3*q^7*x^8-7*q^8*x^8-11*q^9*x^8-16*q^10*x^8-4*q^11*x^8-q^12*x^8+3*q^13*x^8+2*q^15*x^8+2*q^16*x^8+4*q^17*x^8+2*q^-12*x^9+3*q^-11*x^9+4*q^-10*x^9+4*q^-9*x^9-4*q^-8*x^9-3*q^-7*x^9-11*q^-6*x^9+6*q^-5*x^9+11*q^-4*x^9+27*q^-3*x^9+22*q^-2*x^9+3*q^-1*x^9+x^9-36*q*x^9-27*q^2*x^9+10*q^3*x^9+22*q^4*x^9+18*q^5*x^9+17*q^6*x^9+27*q^7*x^9+15*q^8*x^9+3*q^9*x^9-23*q^10*x^9-16*q^11*x^9-6*q^12*x^9+8*q^13*x^9+4*q^14*x^9+8*q^15*x^9+8*q^16*x^9+15*q^17*x^9+12*q^18*x^9+8*q^19*x^9+5*q^20*x^9+q^-15*x^10+q^-14*x^10+5*q^-13*x^10+7*q^-12*x^10+9*q^-11*x^10+9*q^-10*x^10+4*q^-9*x^10-13*q^-8*x^10-8*q^-7*x^10-12*q^-6*x^10+18*q^-5*x^10+25*q^-4*x^10+53*q^-3*x^10+53*q^-2*x^10+27*q^-1*x^10+6*x^10-57*q*x^10-54*q^2*x^10+q^3*x^10+24*q^4*x^10+27*q^5*x^10+35*q^6*x^10+63*q^7*x^10+66*q^8*x^10+47*q^9*x^10-7*q^10*x^10-30*q^11*x^10-34*q^12*x^10-q^13*x^10+9*q^15*x^10+q^16*x^10+22*q^17*x^10+28*q^18*x^10+33*q^19*x^10+28*q^20*x^10+14*q^21*x^10+2*q^22*x^10-4*q^24*x^10-q^25*x^10-3*q^26*x^10-4*q^27*x^10-3*q^28*x^10-5*q^29*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12a_452 | [1, -2, -3, 4, 1, -3, 1, -2, 3, -2, 4, -2, -3, 4] | [-1, 1, -1, -1, 1, -1, -1, 1, -1, 1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, -1, 1, -1, 1] | -x^3-7*x^4-q^-1*x^5-28*x^5+q*x^5-4*q^-2*x^6-7*q^-1*x^6-85*x^6+7*q*x^6+6*q^2*x^6-4*q^-4*x^7-13*q^-3*x^7-25*q^-2*x^7-28*q^-1*x^7-216*x^7+32*q*x^7+42*q^2*x^7+16*q^3*x^7-10*q^-6*x^8-17*q^-5*x^8-54*q^-4*x^8-80*q^-3*x^8-90*q^-2*x^8-79*q^-1*x^8-471*x^8+118*q*x^8+188*q^2*x^8+110*q^3*x^8+32*q^4*x^8-3*q^5*x^8-6*q^-9*x^9-22*q^-8*x^9-43*q^-7*x^9-102*q^-6*x^9-158*q^-5*x^9-276*q^-4*x^9-280*q^-3*x^9-216*q^-2*x^9-137*q^-1*x^9-879*x^9+408*q*x^9+661*q^2*x^9+483*q^3*x^9+210*q^4*x^9+30*q^5*x^9-13*q^6*x^9-10*q^7*x^9-14*q^-12*x^10-24*q^-11*x^10-66*q^-10*x^10-134*q^-9*x^10-250*q^-8*x^10-343*q^-7*x^10-560*q^-6*x^10-712*q^-5*x^10-883*q^-4*x^10-632*q^-3*x^10-242*q^-2*x^10+31*q^-1*x^10-1270*x^10+1313*q*x^10+2030*q^2*x^10+1652*q^3*x^10+878*q^4*x^10+204*q^5*x^10-38*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 |
| 12a_453 | [-1, 2, -3, 4, -1, 2, -3, -3, -3, 4, 4, 4] | [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1] | -x^3-6*x^4-q^-1*x^5-21*x^5-2*q*x^5-4*q^-2*x^6-6*q^-1*x^6-60*x^6-12*q*x^6-8*q^2*x^6-2*q^-4*x^7-9*q^-3*x^7-23*q^-2*x^7-30*q^-1*x^7-152*x^7-54*q*x^7-46*q^2*x^7-20*q^3*x^7-5*q^4*x^7-4*q^-6*x^8-4*q^-5*x^8-26*q^-4*x^8-58*q^-3*x^8-100*q^-2*x^8-118*q^-1*x^8-376*x^8-192*q*x^8-193*q^2*x^8-124*q^3*x^8-68*q^4*x^8-20*q^5*x^8-12*q^6*x^8-2*q^-9*x^9-6*q^-8*x^9-8*q^-7*x^9-28*q^-6*x^9-54*q^-5*x^9-153*q^-4*x^9-261*q^-3*x^9-372*q^-2*x^9-433*q^-1*x^9-937*x^9-640*q*x^9-671*q^2*x^9-540*q^3*x^9-383*q^4*x^9-205*q^5*x^9-124*q^6*x^9-51*q^7*x^9-26*q^8*x^9-7*q^9*x^9-4*q^-12*x^10-4*q^-11*x^10-12*q^-10*x^10-24*q^-9*x^10-54*q^-8*x^10-72*q^-7*x^10-182*q^-6*x^10-342*q^-5*x^10-688*q^-4*x^10-1002*q^-3*x^10-1312*q^-2*x^10-1501*q^-1*x^10-2473*x^10-2044*q*x^10-2196*q^2*x^10-1969*q^3*x^10-1642*q^4*x^10-1123*q^5*x^10-806*q^6*x^10-472*q^7*x^10-312*q^8*x^10-158*q^9*x^10-80*q^10*x^10-28*q^11*x^10-16*q^12*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_454 | [-1, -3, -3, -3, 2, -3, -2, 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^-1*x^2-2*q^-1*x^3-q*x^3+q^-2*x^4-3*q^-1*x^4+2*x^4-2*q*x^4+q^2*x^4+q^4*x^4-q^5*x^4+q^-3*x^5+2*q^-2*x^5-3*q^-1*x^5+5*x^5-2*q*x^5+3*q^2*x^5+2*q^3*x^5+3*q^4*x^5+q^5*x^5+q^6*x^5+q^8*x^5+q^9*x^5-q^11*x^5+2*q^-3*x^6+2*q^-2*x^6-4*q^-1*x^6+8*x^6-4*q*x^6+4*q^2*x^6+4*q^3*x^6+4*q^4*x^6+2*q^5*x^6+6*q^6*x^6-q^7*x^6+2*q^8*x^6+5*q^9*x^6+3*q^10*x^6-2*q^11*x^6+q^12*x^6+q^15*x^6+q^16*x^6-q^19*x^6-q^-6*x^7-q^-4*x^7+q^-3*x^7-5*q^-1*x^7+6*x^7-10*q*x^7+q^2*x^7+3*q^3*x^7-2*q^4*x^7-2*q^5*x^7+5*q^6*x^7-4*q^7*x^7-5*q^8*x^7+4*q^9*x^7+6*q^10*x^7-4*q^11*x^7-2*q^12*x^7-2*q^13*x^7-2*q^14*x^7+2*q^15*x^7+q^16*x^7+2*q^17*x^7+q^18*x^7-q^19*x^7-q^21*x^7+q^23*x^7+q^24*x^7+q^25*x^7-q^29*x^7-q^-8*x^8-3*q^-6*x^8-3*q^-4*x^8-q^-2*x^8-7*q^-1*x^8+x^8-17*q*x^8-2*q^2*x^8+q^3*x^8-14*q^4*x^8-11*q^5*x^8-q^6*x^8-12*q^7*x^8-20*q^8*x^8-8*q^9*x^8+q^10*x^8-8*q^11*x^8-15*q^12*x^8-18*q^13*x^8-15*q^14*x^8-3*q^15*x^8-6*q^16*x^8-4*q^17*x^8-6*q^18*x^8-5*q^19*x^8-2*q^20*x^8-5*q^21*x^8-7*q^22*x^8-2*q^23*x^8+q^24*x^8+3*q^25*x^8+2*q^26*x^8+q^27*x^8+q^28*x^8-q^29*x^8-q^30*x^8-q^31*x^8+q^33*x^8+q^34*x^8+q^35*x^8+q^36*x^8-q^41*x^8-2*q^-8*x^9+q^-7*x^9-3*q^-6*x^9+2*q^-5*x^9-4*q^-4*x^9+6*q^-3*x^9+3*q^-2*x^9-6*q^-1*x^9-13*q*x^9+8*q^2*x^9+8*q^3*x^9-21*q^4*x^9-11*q^5*x^9+6*q^6*x^9-5*q^7*x^9-29*q^8*x^9-14*q^9*x^9+2*q^10*x^9+2*q^11*x^9-14*q^12*x^9-37*q^13*x^9-37*q^14*x^9-6*q^15*x^9-8*q^16*x^9-9*q^17*x^9-21*q^18*x^9-18*q^19*x^9-11*q^20*x^9-9*q^21*x^9-21*q^22*x^9-18*q^23*x^9-13*q^24*x^9-4*q^25*x^9-q^26*x^9+2*q^27*x^9-q^28*x^9-5*q^29*x^9-5*q^30*x^9-8*q^31*x^9-6*q^32*x^9-q^33*x^9-q^34*x^9+2*q^35*x^9+2*q^36*x^9+3*q^37*x^9+q^38*x^9+2*q^39*x^9+q^40*x^9-3*q^41*x^9-q^42*x^9-q^43*x^9+q^45*x^9+q^46*x^9+q^47*x^9+q^48*x^9+q^49*x^9-q^55*x^9+q^-13*x^10+q^-11*x^10+q^-10*x^10+q^-9*x^10-q^-8*x^10+6*q^-7*x^10-2*q^-6*x^10+7*q^-5*x^10+4*q^-4*x^10+19*q^-3*x^10+10*q^-2*x^10-2*q^-1*x^10+12*x^10+11*q*x^10+34*q^2*x^10+26*q^3*x^10-18*q^4*x^10+13*q^5*x^10+44*q^6*x^10+35*q^7*x^10-12*q^8*x^10+36*q^10*x^10+59*q^11*x^10+35*q^12*x^10-12*q^13*x^10-39*q^14*x^10+18*q^15*x^10+37*q^16*x^10+47*q^17*x^10+5*q^18*x^10-6*q^19*x^10+2*q^20*x^10+20*q^21*x^10+2*q^22*x^10+2*q^23*x^10-16*q^24*x^10-5*q^25*x^10+21*q^27*x^10+18*q^28*x^10+10*q^29*x^10-q^30*x^10-13*q^31*x^10-21*q^32*x^10-8*q^33*x^10-8*q^34*x^10+3*q^35*x^10-3*q^36*x^10+4*q^37*x^10+q^38*x^10+3*q^39*x^10+3*q^40*x^10-5*q^41*x^10-7*q^42*x^10-9*q^43*x^10-9*q^44*x^10-2*q^45*x^10-2*q^46*x^10+2*q^48*x^10+3*q^49*x^10+3*q^50*x^10+2*q^51*x^10+q^52*x^10+q^53*x^10-q^54*x^10-3*q^55*x^10-q^56*x^10-q^57*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^71*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12a_455 | [-1, -3, 4, 2, -3, 2, -3, 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^-1*x^3-7*q^-1*x^4+q^-2*x^5-28*q^-1*x^5-2*x^5+7*q^-2*x^6-86*q^-1*x^6-14*x^6-2*q*x^6-q^-5*x^7-4*q^-4*x^7+q^-3*x^7+25*q^-2*x^7-222*q^-1*x^7-62*x^7-15*q*x^7+2*q^2*x^7-2*q^3*x^7-2*q^-7*x^8-4*q^-6*x^8-11*q^-5*x^8-25*q^-4*x^8-3*q^-3*x^8+66*q^-2*x^8-516*q^-1*x^8-212*x^8-77*q*x^8+13*q^2*x^8-3*q^4*x^8-4*q^5*x^8-q^-10*x^9-3*q^-9*x^9-7*q^-8*x^9-16*q^-7*x^9-25*q^-6*x^9-52*q^-5*x^9-114*q^-4*x^9-43*q^-3*x^9+119*q^-2*x^9-1122*q^-1*x^9-638*x^9-314*q*x^9+25*q^2*x^9+51*q^3*x^9+17*q^4*x^9-28*q^5*x^9-9*q^6*x^9-6*q^7*x^9-2*q^8*x^9-2*q^-13*x^10-2*q^-12*x^10-6*q^-11*x^10-15*q^-10*x^10-31*q^-9*x^10-53*q^-8*x^10-59*q^-7*x^10-82*q^-6*x^10-198*q^-5*x^10-416*q^-4*x^10-268*q^-3*x^10+87*q^-2*x^10-2392*q^-1*x^10-1769*x^10-1137*q*x^10-97*q^2*x^10+249*q^3*x^10+242*q^4*x^10-24*q^5*x^10-55*q^6*x^10-56*q^7*x^10-33*q^8*x^10-11*q^9*x^10-4*q^10*x^10-4*q^11*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_456 | [-1, -1, -2, -2, -1, -4, 3, 2, 2, 2, 4, 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^2+q^-5*x^3+q^-3*x^3-q^-1*x^3-q^-12*x^4-q^-9*x^4-q^-8*x^4-q^-6*x^4+q^-5*x^4-q^-4*x^4+q^-3*x^4-q^-2*x^4-q^-1*x^4+q^-22*x^5+q^-18*x^5+q^-17*x^5+q^-16*x^5+q^-14*x^5+q^-13*x^5+q^-11*x^5+2*q^-10*x^5+q^-8*x^5+q^-7*x^5+3*q^-5*x^5-q^-4*x^5+3*q^-3*x^5-q^-2*x^5-q^-1*x^5-q^-35*x^6-q^-30*x^6-q^-29*x^6-q^-28*x^6-q^-27*x^6-q^-25*x^6-q^-24*x^6-2*q^-23*x^6-2*q^-21*x^6-2*q^-20*x^6-3*q^-19*x^6-q^-18*x^6-2*q^-17*x^6-q^-16*x^6-4*q^-15*x^6-2*q^-14*x^6-3*q^-13*x^6-3*q^-12*x^6-2*q^-11*x^6-q^-10*x^6-4*q^-9*x^6+q^-8*x^6-2*q^-7*x^6-2*q^-6*x^6+3*q^-5*x^6-q^-4*x^6+2*q^-3*x^6-q^-1*x^6+q^-51*x^7+q^-45*x^7+q^-44*x^7+q^-43*x^7+q^-42*x^7+q^-41*x^7+q^-39*x^7+q^-38*x^7+2*q^-37*x^7+2*q^-36*x^7+q^-35*x^7+2*q^-34*x^7+3*q^-33*x^7+3*q^-32*x^7+4*q^-31*x^7+2*q^-30*x^7+3*q^-29*x^7+2*q^-28*x^7+5*q^-27*x^7+6*q^-26*x^7+5*q^-25*x^7+6*q^-24*x^7+4*q^-23*x^7+7*q^-22*x^7+5*q^-21*x^7+5*q^-20*x^7+5*q^-19*x^7+6*q^-18*x^7+5*q^-17*x^7+6*q^-16*x^7+4*q^-15*x^7+4*q^-14*x^7+3*q^-12*x^7+4*q^-11*x^7-2*q^-9*x^7+5*q^-8*x^7-3*q^-6*x^7+5*q^-5*x^7+q^-4*x^7+2*q^-3*x^7-q^-70*x^8-q^-63*x^8-q^-62*x^8-q^-61*x^8-q^-60*x^8-q^-59*x^8-q^-58*x^8-q^-56*x^8-q^-55*x^8-2*q^-54*x^8-2*q^-53*x^8-3*q^-52*x^8-q^-51*x^8-3*q^-50*x^8-3*q^-49*x^8-4*q^-48*x^8-4*q^-47*x^8-5*q^-46*x^8-3*q^-45*x^8-4*q^-44*x^8-4*q^-43*x^8-6*q^-42*x^8-7*q^-41*x^8-10*q^-40*x^8-8*q^-39*x^8-10*q^-38*x^8-7*q^-37*x^8-9*q^-36*x^8-11*q^-35*x^8-11*q^-34*x^8-10*q^-33*x^8-12*q^-32*x^8-10*q^-31*x^8-16*q^-30*x^8-12*q^-29*x^8-16*q^-28*x^8-11*q^-27*x^8-12*q^-26*x^8-11*q^-25*x^8-10*q^-24*x^8-12*q^-23*x^8-11*q^-22*x^8-10*q^-21*x^8-10*q^-20*x^8-6*q^-19*x^8-10*q^-18*x^8-9*q^-17*x^8-4*q^-16*x^8-2*q^-15*x^8-7*q^-14*x^8-10*q^-13*x^8-2*q^-12*x^8+3*q^-11*x^8-6*q^-10*x^8-9*q^-9*x^8+3*q^-8*x^8+q^-7*x^8-6*q^-6*x^8+3*q^-5*x^8+q^-4*x^8+3*q^-3*x^8+x^8+q^-92*x^9+q^-84*x^9+q^-83*x^9+q^-82*x^9+q^-81*x^9+q^-80*x^9+q^-79*x^9+q^-78*x^9+q^-76*x^9+q^-75*x^9+2*q^-74*x^9+2*q^-73*x^9+3*q^-72*x^9+3*q^-71*x^9+2*q^-70*x^9+3*q^-69*x^9+4*q^-68*x^9+4*q^-67*x^9+5*q^-66*x^9+5*q^-65*x^9+6*q^-64*x^9+4*q^-63*x^9+6*q^-62*x^9+5*q^-61*x^9+8*q^-60*x^9+9*q^-59*x^9+11*q^-58*x^9+13*q^-57*x^9+13*q^-56*x^9+13*q^-55*x^9+12*q^-54*x^9+13*q^-53*x^9+14*q^-52*x^9+18*q^-51*x^9+17*q^-50*x^9+19*q^-49*x^9+21*q^-48*x^9+20*q^-47*x^9+23*q^-46*x^9+26*q^-45*x^9+27*q^-44*x^9+27*q^-43*x^9+28*q^-42*x^9+25*q^-41*x^9+25*q^-40*x^9+29*q^-39*x^9+27*q^-38*x^9+32*q^-37*x^9+32*q^-36*x^9+29*q^-35*x^9+31*q^-34*x^9+31*q^-33*x^9+29*q^-32*x^9+30*q^-31*x^9+26*q^-30*x^9+28*q^-29*x^9+23*q^-28*x^9+25*q^-27*x^9+23*q^-26*x^9+26*q^-25*x^9+27*q^-24*x^9+16*q^-23*x^9+14*q^-22*x^9+16*q^-21*x^9+20*q^-20*x^9+17*q^-19*x^9+3*q^-18*x^9+q^-17*x^9+14*q^-16*x^9+17*q^-15*x^9+q^-14*x^9-9*q^-13*x^9+4*q^-12*x^9+13*q^-11*x^9-10*q^-9*x^9+4*q^-7*x^9-3*q^-6*x^9+3*q^-5*x^9-2*q^-4*x^9+4*q^-3*x^9+q^-2*x^9+x^9+q*x^9-q^-117*x^10-q^-108*x^10-q^-107*x^10-q^-106*x^10-q^-105*x^10-q^-104*x^10-q^-103*x^10-q^-102*x^10-q^-101*x^10-q^-99*x^10-q^-98*x^10-2*q^-97*x^10-2*q^-96*x^10-3*q^-95*x^10-3*q^-94*x^10-4*q^-93*x^10-2*q^-92*x^10-4*q^-91*x^10-4*q^-90*x^10-5*q^-89*x^10-5*q^-88*x^10-6*q^-87*x^10-6*q^-86*x^10-7*q^-85*x^10-6*q^-84*x^10-7*q^-83*x^10-7*q^-82*x^10-10*q^-81*x^10-11*q^-80*x^10-13*q^-79*x^10-15*q^-78*x^10-18*q^-77*x^10-16*q^-76*x^10-19*q^-75*x^10-16*q^-74*x^10-19*q^-73*x^10-19*q^-72*x^10-22*q^-71*x^10-25*q^-70*x^10-28*q^-69*x^10-29*q^-68*x^10-33*q^-67*x^10-32*q^-66*x^10-37*q^-65*x^10-37*q^-64*x^10-45*q^-63*x^10-42*q^-62*x^10-49*q^-61*x^10-46*q^-60*x^10-49*q^-59*x^10-47*q^-58*x^10-53*q^-57*x^10-54*q^-56*x^10-58*q^-55*x^10-64*q^-54*x^10-69*q^-53*x^10-66*q^-52*x^10-68*q^-51*x^10-70*q^-50*x^10-72*q^-49*x^10-69*q^-48*x^10-77*q^-47*x^10-71*q^-46*x^10-74*q^-45*x^10-71*q^-44*x^10-77*q^-43*x^10-72*q^-42*x^10-79*q^-41*x^10-77*q^-40*x^10-77*q^-39*x^10-74*q^-38*x^10-70*q^-37*x^10-64*q^-36*x^10-68*q^-35*x^10-58*q^-34*x^10-64*q^-33*x^10-58*q^-32*x^10-50*q^-31*x^10-45*q^-30*x^10-46*q^-29*x^10-48*q^-28*x^10-45*q^-27*x^10-32*q^-26*x^10-19*q^-25*x^10-13*q^-24*x^10-37*q^-23*x^10-35*q^-22*x^10-15*q^-21*x^10+6*q^-20*x^10-3*q^-19*x^10-27*q^-18*x^10-30*q^-17*x^10+3*q^-16*x^10+15*q^-15*x^10-q^-14*x^10-25*q^-13*x^10-10*q^-12*x^10+9*q^-11*x^10+4*q^-10*x^10-11*q^-9*x^10-7*q^-8*x^10-3*q^-7*x^10-2*q^-6*x^10+4*q^-5*x^10-3*q^-4*x^10+q^-3*x^10+q^-2*x^10+q^-1*x^10+x^10+q*x^10+q^2*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12a_456 | [-1, 4, -3, -3, 4, 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^3-7*x^4-q^-1*x^5-28*x^5-2*q*x^5-3*q^-2*x^6-7*q^-1*x^6-90*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^7-41*q^-1*x^7-254*x^7-72*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^8-59*q^-3*x^8-105*q^-2*x^8-182*q^-1*x^8-684*x^8-291*q*x^8-227*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^9-75*q^-5*x^9-194*q^-4*x^9-303*q^-3*x^9-459*q^-2*x^9-719*q^-1*x^9-1814*x^9-1064*q*x^9-903*q^2*x^9-658*q^3*x^9-456*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^10-59*q^-8*x^10-88*q^-7*x^10-251*q^-6*x^10-507*q^-5*x^10-953*q^-4*x^10-1313*q^-3*x^10-1839*q^-2*x^10-2617*q^-1*x^10-4936*x^10-3634*q*x^10-3307*q^2*x^10-2694*q^3*x^10-2152*q^4*x^10-1408*q^5*x^10-962*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 |
| 12a_457 | [-1, -3, 2, -3, 4, -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] | -q^-1*x^3-7*q^-1*x^4+3*q^-2*x^5-28*q^-1*x^5-2*x^5+5*q^-3*x^6+21*q^-2*x^6-83*q^-1*x^6-14*x^6-2*q*x^6-q^-5*x^7-q^-4*x^7+33*q^-3*x^7+92*q^-2*x^7-197*q^-1*x^7-57*x^7-15*q*x^7+2*q^2*x^7-2*q^3*x^7-2*q^-7*x^8-12*q^-6*x^8-17*q^-5*x^8-11*q^-4*x^8+132*q^-3*x^8+316*q^-2*x^8-379*q^-1*x^8-168*x^8-72*q*x^8+14*q^2*x^8-3*q^4*x^8-4*q^5*x^8-q^-10*x^9-3*q^-9*x^9-17*q^-8*x^9-29*q^-7*x^9-90*q^-6*x^9-108*q^-5*x^9-83*q^-4*x^9+395*q^-3*x^9+927*q^-2*x^9-555*q^-1*x^9-387*x^9-264*q*x^9+29*q^2*x^9+52*q^3*x^9+19*q^4*x^9-28*q^5*x^9-9*q^6*x^9-6*q^7*x^9-2*q^8*x^9-2*q^-13*x^10-2*q^-12*x^10-6*q^-11*x^10-16*q^-10*x^10-32*q^-9*x^10-113*q^-8*x^10-153*q^-7*x^10-397*q^-6*x^10-506*q^-5*x^10-438*q^-4*x^10+928*q^-3*x^10+2408*q^-2*x^10-408*q^-1*x^10-674*x^10-816*q*x^10-90*q^2*x^10+225*q^3*x^10+252*q^4*x^10-18*q^5*x^10-51*q^6*x^10-55*q^7*x^10-33*q^8*x^10-11*q^9*x^10-4*q^10*x^10-4*q^11*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12a_458 | [-1, -3, 2, -3, 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^3-8*x^4-2*q^-1*x^5-36*x^5-2*q*x^5-4*q^-2*x^6-16*q^-1*x^6-127*x^6-16*q*x^6-4*q^2*x^6-2*q^-4*x^7-8*q^-3*x^7-33*q^-2*x^7-86*q^-1*x^7-390*x^7-86*q*x^7-33*q^2*x^7-8*q^3*x^7-2*q^4*x^7-4*q^-6*x^8-4*q^-5*x^8-34*q^-4*x^8-71*q^-3*x^8-179*q^-2*x^8-371*q^-1*x^8-1113*x^8-371*q*x^8-179*q^2*x^8-71*q^3*x^8-34*q^4*x^8-4*q^5*x^8-4*q^6*x^8-2*q^-9*x^9-6*q^-8*x^9-8*q^-7*x^9-39*q^-6*x^9-82*q^-5*x^9-244*q^-4*x^9-400*q^-3*x^9-795*q^-2*x^9-1406*q^-1*x^9-3084*x^9-1406*q*x^9-795*q^2*x^9-400*q^3*x^9-244*q^4*x^9-82*q^5*x^9-39*q^6*x^9-8*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^10-28*q^-9*x^10-65*q^-8*x^10-96*q^-7*x^10-332*q^-6*x^10-638*q^-5*x^10-1261*q^-4*x^10-1842*q^-3*x^10-3152*q^-2*x^10-4944*q^-1*x^10-8532*x^10-4944*q*x^10-3152*q^2*x^10-1842*q^3*x^10-1261*q^4*x^10-638*q^5*x^10-332*q^6*x^10-96*q^7*x^10-65*q^8*x^10-28*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_458 | [1, -2, -3, 4, 1, -3, 1, -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^3-5*x^4-15*x^5+q*x^5-3*q^-2*x^6-35*x^6+5*q*x^6+3*q^2*x^6-7*q^-3*x^7-15*q^-2*x^7+2*q^-1*x^7-70*x^7+15*q*x^7+15*q^2*x^7+5*q^3*x^7-10*q^-4*x^8-35*q^-3*x^8-43*q^-2*x^8+13*q^-1*x^8-120*x^8+35*q*x^8+45*q^2*x^8+24*q^3*x^8+8*q^4*x^8-2*q^5*x^8-6*q^-6*x^9-13*q^-5*x^9-50*q^-4*x^9-103*q^-3*x^9-88*q^-2*x^9+58*q^-1*x^9-173*x^9+80*q*x^9+105*q^2*x^9+70*q^3*x^9+35*q^4*x^9+2*q^5*x^9-3*q^6*x^9-4*q^7*x^9-9*q^-8*x^10-21*q^-7*x^10-47*q^-6*x^10-60*q^-5*x^10-140*q^-4*x^10-224*q^-3*x^10-126*q^-2*x^10+199*q^-1*x^10-178*x^10+182*q*x^10+220*q^2*x^10+157*q^3*x^10+95*q^4*x^10+16*q^5*x^10+2*q^6*x^10-24*q^7*x^10-7*q^8*x^10-5*q^9*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_459 | [1, -2, 3, 4, 1, 1, -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^2*x^3-5*q^2*x^4-q*x^5-15*q^2*x^5+q^3*x^5-5*q*x^6-35*q^2*x^6+5*q^3*x^6-q^-2*x^7+5*q^-1*x^7-15*q*x^7-69*q^2*x^7+17*q^3*x^7-q^5*x^7-2*q^-4*x^8-q^-3*x^8+13*q^-2*x^8+26*q^-1*x^8-35*q*x^8-115*q^2*x^8+45*q^3*x^8+q^4*x^8-3*q^5*x^8-q^6*x^8-2*q^7*x^8-q^-7*x^9-3*q^-6*x^9-5*q^-5*x^9-7*q^-4*x^9+40*q^-3*x^9+80*q^-2*x^9+81*q^-1*x^9-4*x^9-56*q*x^9-164*q^2*x^9+105*q^3*x^9+3*q^4*x^9-4*q^5*x^9+q^6*x^9-11*q^7*x^9-6*q^8*x^9-3*q^9*x^9-2*q^-10*x^10-2*q^-9*x^10-5*q^-8*x^10-18*q^-7*x^10-23*q^-6*x^10-9*q^-5*x^10+80*q^-4*x^10+227*q^-3*x^10+263*q^-2*x^10+180*q^-1*x^10+3*x^10-52*q*x^10-185*q^2*x^10+216*q^3*x^10+10*q^4*x^10-q^5*x^10+19*q^6*x^10-24*q^7*x^10-33*q^8*x^10-25*q^9*x^10-7*q^10*x^10-2*q^11*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_460 | [-1, 2, 3, -4, -1, 3, -4, -2, 3, 2, -4, -3] | [1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, -1] | -q^-1*x^2-q^-3*x^3-4*q^-1*x^3-q^-7*x^4+q^-4*x^4-4*q^-3*x^4-10*q^-1*x^4-x^4-q^-13*x^5+q^-9*x^5+q^-8*x^5-4*q^-7*x^5+q^-5*x^5+4*q^-4*x^5-10*q^-3*x^5-q^-2*x^5-19*q^-1*x^5-4*x^5-2*q*x^5-q^-21*x^6+q^-16*x^6+q^-15*x^6+q^-14*x^6-4*q^-13*x^6+5*q^-9*x^6+6*q^-8*x^6-10*q^-7*x^6-3*q^-6*x^6+6*q^-5*x^6+16*q^-4*x^6-20*q^-3*x^6-7*q^-2*x^6-33*q^-1*x^6-5*x^6-8*q*x^6-3*q^2*x^6-q^3*x^6-q^-31*x^7+q^-25*x^7+q^-24*x^7+q^-23*x^7+q^-22*x^7-4*q^-21*x^7-q^-18*x^7+4*q^-16*x^7+7*q^-15*x^7+6*q^-14*x^7-10*q^-13*x^7-4*q^-12*x^7-q^-11*x^7+4*q^-10*x^7+21*q^-9*x^7+21*q^-8*x^7-21*q^-7*x^7-16*q^-6*x^7+16*q^-5*x^7+52*q^-4*x^7-20*q^-3*x^7-21*q^-2*x^7-62*q^-1*x^7-4*x^7-7*q*x^7-11*q^2*x^7-8*q^3*x^7-2*q^4*x^7-2*q^5*x^7-q^-43*x^8+q^-36*x^8+q^-35*x^8+q^-34*x^8+q^-33*x^8+q^-32*x^8-4*q^-31*x^8-q^-28*x^8-q^-27*x^8-q^-26*x^8+4*q^-25*x^8+6*q^-24*x^8+7*q^-23*x^8+6*q^-22*x^8-10*q^-21*x^8-4*q^-20*x^8-q^-19*x^8-4*q^-18*x^8+q^-17*x^8+15*q^-16*x^8+26*q^-15*x^8+23*q^-14*x^8-20*q^-13*x^8-23*q^-12*x^8-17*q^-11*x^8+16*q^-10*x^8+76*q^-9*x^8+78*q^-8*x^8-31*q^-7*x^8-53*q^-6*x^8+15*q^-5*x^8+127*q^-4*x^8+29*q^-3*x^8-10*q^-2*x^8-113*q^-1*x^8-18*x^8+3*q*x^8+q^2*x^8-21*q^3*x^8-11*q^4*x^8-11*q^5*x^8-4*q^6*x^8-3*q^7*x^8-q^8*x^8-q^-57*x^9+q^-49*x^9+q^-48*x^9+q^-47*x^9+q^-46*x^9+q^-45*x^9+q^-44*x^9-4*q^-43*x^9-q^-40*x^9-q^-39*x^9-2*q^-38*x^9-q^-37*x^9+3*q^-36*x^9+6*q^-35*x^9+6*q^-34*x^9+7*q^-33*x^9+6*q^-32*x^9-10*q^-31*x^9-3*q^-30*x^9-q^-29*x^9-4*q^-28*x^9-6*q^-27*x^9-6*q^-26*x^9+12*q^-25*x^9+20*q^-24*x^9+29*q^-23*x^9+24*q^-22*x^9-19*q^-21*x^9-24*q^-20*x^9-22*q^-19*x^9-22*q^-18*x^9+3*q^-17*x^9+54*q^-16*x^9+95*q^-15*x^9+85*q^-14*x^9-28*q^-13*x^9-97*q^-12*x^9-105*q^-11*x^9+13*q^-10*x^9+223*q^-9*x^9+269*q^-8*x^9+32*q^-7*x^9-118*q^-6*x^9-42*q^-5*x^9+210*q^-4*x^9+168*q^-3*x^9+120*q^-2*x^9-109*q^-1*x^9-46*x^9-6*q*x^9+35*q^2*x^9+5*q^3*x^9-17*q^4*x^9-28*q^5*x^9-17*q^6*x^9-17*q^7*x^9-10*q^8*x^9-6*q^9*x^9-2*q^10*x^9-2*q^11*x^9-q^-73*x^10+q^-64*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^10-4*q^-57*x^10-q^-54*x^10-q^-53*x^10-2*q^-52*x^10-2*q^-51*x^10-2*q^-50*x^10+3*q^-49*x^10+5*q^-48*x^10+6*q^-47*x^10+6*q^-46*x^10+7*q^-45*x^10+6*q^-44*x^10-9*q^-43*x^10-3*q^-42*x^10-3*q^-40*x^10-6*q^-39*x^10-13*q^-38*x^10-8*q^-37*x^10+5*q^-36*x^10+17*q^-35*x^10+23*q^-34*x^10+30*q^-33*x^10+26*q^-32*x^10-20*q^-31*x^10-21*q^-30*x^10-20*q^-29*x^10-25*q^-28*x^10-28*q^-27*x^10-23*q^-26*x^10+33*q^-25*x^10+71*q^-24*x^10+102*q^-23*x^10+88*q^-22*x^10-20*q^-21*x^10-93*q^-20*x^10-141*q^-19*x^10-147*q^-18*x^10-42*q^-17*x^10+160*q^-16*x^10+337*q^-15*x^10+340*q^-14*x^10+28*q^-13*x^10-304*q^-12*x^10-445*q^-11*x^10-161*q^-10*x^10+457*q^-9*x^10+776*q^-8*x^10+414*q^-7*x^10-44*q^-6*x^10-178*q^-5*x^10+182*q^-4*x^10+307*q^-3*x^10+448*q^-2*x^10+148*q^-1*x^10+99*x^10+16*q*x^10+67*q^2*x^10+66*q^3*x^10+43*q^4*x^10-27*q^5*x^10-22*q^6*x^10-39*q^7*x^10-33*q^8*x^10-31*q^9*x^10-17*q^10*x^10-17*q^11*x^10-7*q^12*x^10-4*q^13*x^10-3*q^14*x^10-q^15*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_461 | [-1, 2, -3, 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^3-2*q^2*x^3-10*x^4-8*q^2*x^4-q^5*x^4-3*q^6*x^4+q^-2*x^5-21*x^5-18*q^2*x^5+2*q^3*x^5-q^4*x^5-6*q^5*x^5-13*q^6*x^5+q^8*x^5-2*q^10*x^5-2*q^11*x^5-4*q^12*x^5+3*q^-3*x^6+4*q^-2*x^6-37*x^6-3*q*x^6-34*q^2*x^6+13*q^3*x^6-20*q^5*x^6-33*q^6*x^6+4*q^7*x^6+5*q^8*x^6-2*q^9*x^6-12*q^10*x^6-13*q^11*x^6-18*q^12*x^6+2*q^14*x^6+2*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+6*q^-4*x^7+12*q^-3*x^7+12*q^-2*x^7+6*q^-1*x^7-66*x^7-17*q*x^7-54*q^2*x^7+47*q^3*x^7+12*q^4*x^7-50*q^5*x^7-74*q^6*x^7+22*q^7*x^7+23*q^8*x^7-10*q^9*x^7-42*q^10*x^7-41*q^11*x^7-45*q^12*x^7+8*q^13*x^7+12*q^14*x^7+8*q^15*x^7-9*q^16*x^7-21*q^17*x^7-26*q^18*x^7-20*q^19*x^7-23*q^20*x^7+q^21*x^7+4*q^22*x^7+4*q^23*x^7+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-q^-7*x^8+9*q^-5*x^8+24*q^-4*x^8+36*q^-3*x^8+42*q^-2*x^8+12*q^-1*x^8-130*x^8-49*q*x^8-59*q^2*x^8+130*q^3*x^8+34*q^4*x^8-122*q^5*x^8-150*q^6*x^8+67*q^7*x^8+93*q^8*x^8-20*q^9*x^8-121*q^10*x^8-110*q^11*x^8-84*q^12*x^8+46*q^13*x^8+49*q^14*x^8+18*q^15*x^8-43*q^16*x^8-79*q^17*x^8-86*q^18*x^8-60*q^19*x^8-53*q^20*x^8+20*q^21*x^8+26*q^22*x^8+20*q^23*x^8-22*q^25*x^8-43*q^26*x^8-45*q^27*x^8-40*q^28*x^8-27*q^29*x^8-26*q^30*x^8+4*q^31*x^8+8*q^32*x^8+7*q^33*x^8+3*q^34*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^8-3*q^-9*x^9-3*q^-8*x^9-7*q^-7*x^9+11*q^-6*x^9+36*q^-5*x^9+74*q^-4*x^9+116*q^-3*x^9+96*q^-2*x^9-18*q^-1*x^9-262*x^9-79*q*x^9-6*q^2*x^9+272*q^3*x^9+16*q^4*x^9-283*q^5*x^9-251*q^6*x^9+215*q^7*x^9+273*q^8*x^9-37*q^9*x^9-346*q^10*x^9-329*q^11*x^9-149*q^12*x^9+182*q^13*x^9+180*q^14*x^9+54*q^15*x^9-146*q^16*x^9-234*q^17*x^9-223*q^18*x^9-122*q^19*x^9-69*q^20*x^9+102*q^21*x^9+99*q^22*x^9+48*q^23*x^9-31*q^24*x^9-108*q^25*x^9-169*q^26*x^9-158*q^27*x^9-127*q^28*x^9-71*q^29*x^9-44*q^30*x^9+48*q^31*x^9+55*q^32*x^9+40*q^33*x^9+9*q^34*x^9-20*q^35*x^9-61*q^36*x^9-77*q^37*x^9-84*q^38*x^9-69*q^39*x^9-53*q^40*x^9-30*q^41*x^9-25*q^42*x^9+11*q^43*x^9+14*q^44*x^9+13*q^45*x^9+6*q^46*x^9-7*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^9-6*q^-11*x^10-9*q^-10*x^10-24*q^-9*x^10-24*q^-8*x^10-13*q^-7*x^10+46*q^-6*x^10+122*q^-5*x^10+240*q^-4*x^10+274*q^-3*x^10+117*q^-2*x^10-150*q^-1*x^10-447*x^10-36*q*x^10+118*q^2*x^10+373*q^3*x^10-167*q^4*x^10-561*q^5*x^10-228*q^6*x^10+676*q^7*x^10+656*q^8*x^10-234*q^9*x^10-1024*q^10*x^10-960*q^11*x^10-270*q^12*x^10+638*q^13*x^10+678*q^14*x^10+192*q^15*x^10-455*q^16*x^10-733*q^17*x^10-626*q^18*x^10-262*q^19*x^10+8*q^20*x^10+370*q^21*x^10+313*q^22*x^10+101*q^23*x^10-165*q^24*x^10-373*q^25*x^10-488*q^26*x^10-400*q^27*x^10-253*q^28*x^10-81*q^29*x^10+18*q^30*x^10+220*q^31*x^10+196*q^32*x^10+96*q^33*x^10-38*q^34*x^10-150*q^35*x^10-282*q^36*x^10-320*q^37*x^10-311*q^38*x^10-229*q^39*x^10-146*q^40*x^10-46*q^41*x^10+109*q^43*x^10+104*q^44*x^10+77*q^45*x^10+21*q^46*x^10-33*q^47*x^10-85*q^48*x^10-124*q^49*x^10-152*q^50*x^10-141*q^51*x^10-123*q^52*x^10-89*q^53*x^10-58*q^54*x^10-25*q^55*x^10-17*q^56*x^10+23*q^57*x^10+26*q^58*x^10+21*q^59*x^10+9*q^60*x^10+q^61*x^10-11*q^62*x^10-17*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 | 12 | 12 | Yes | 12 |
| 12n_462 | [1, 4, 3, -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] | 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| 10 | 12 | 12 | Yes | 12 |
| 12a_462 | [-1, 2, -3, 4, -1, 2, 2, 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] | -x^3-6*x^4-q^-1*x^5-21*x^5-q*x^5-4*q^-2*x^6-6*q^-1*x^6-59*x^6-6*q*x^6-4*q^2*x^6-2*q^-4*x^7-9*q^-3*x^7-23*q^-2*x^7-28*q^-1*x^7-145*x^7-28*q*x^7-23*q^2*x^7-9*q^3*x^7-2*q^4*x^7-4*q^-6*x^8-4*q^-5*x^8-26*q^-4*x^8-57*q^-3*x^8-96*q^-2*x^8-102*q^-1*x^8-338*x^8-102*q*x^8-96*q^2*x^8-57*q^3*x^8-26*q^4*x^8-4*q^5*x^8-4*q^6*x^8-2*q^-9*x^9-6*q^-8*x^9-8*q^-7*x^9-28*q^-6*x^9-52*q^-5*x^9-149*q^-4*x^9-247*q^-3*x^9-332*q^-2*x^9-341*q^-1*x^9-775*x^9-341*q*x^9-332*q^2*x^9-247*q^3*x^9-149*q^4*x^9-52*q^5*x^9-28*q^6*x^9-8*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^10-24*q^-9*x^10-53*q^-8*x^10-68*q^-7*x^10-174*q^-6*x^10-319*q^-5*x^10-641*q^-4*x^10-885*q^-3*x^10-1068*q^-2*x^10-1076*q^-1*x^10-1831*x^10-1076*q*x^10-1068*q^2*x^10-885*q^3*x^10-641*q^4*x^10-319*q^5*x^10-174*q^6*x^10-68*q^7*x^10-53*q^8*x^10-24*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_463 | [-1, 2, -3, -4, -1, 2, 3, -4, -3, 2, -3, 4] | [1, -1, 1, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1] | -x^2-5*x^3-q^2*x^3-2*q^-1*x^4-15*x^4-q*x^4-5*q^2*x^4-q^6*x^4-4*q^-2*x^5-10*q^-1*x^5-37*x^5-7*q*x^5-20*q^2*x^5-q^3*x^5-5*q^6*x^5-q^12*x^5-2*q^-4*x^6-6*q^-3*x^6-21*q^-2*x^6-34*q^-1*x^6-86*x^6-37*q*x^6-63*q^2*x^6-12*q^3*x^6-2*q^4*x^6-7*q^5*x^6-18*q^6*x^6-q^7*x^6-5*q^12*x^6-q^20*x^6-4*q^-6*x^7-4*q^-5*x^7-18*q^-4*x^7-36*q^-3*x^7-76*q^-2*x^7-103*q^-1*x^7-214*x^7-141*q*x^7-183*q^2*x^7-57*q^3*x^7-35*q^4*x^7-47*q^5*x^7-72*q^6*x^7-11*q^7*x^7+q^8*x^7-4*q^10*x^7-5*q^11*x^7-18*q^12*x^7-q^13*x^7-5*q^20*x^7-q^30*x^7-2*q^-9*x^8-6*q^-8*x^8-8*q^-7*x^8-26*q^-6*x^8-36*q^-5*x^8-93*q^-4*x^8-145*q^-3*x^8-243*q^-2*x^8-331*q^-1*x^8-561*x^8-462*q*x^8-500*q^2*x^8-246*q^3*x^8-206*q^4*x^8-240*q^5*x^8-262*q^6*x^8-88*q^7*x^8-10*q^8*x^8-7*q^9*x^8-37*q^10*x^8-45*q^11*x^8-61*q^12*x^8-12*q^13*x^8-q^14*x^8+q^15*x^8-3*q^17*x^8-2*q^18*x^8-5*q^19*x^8-18*q^20*x^8-q^21*x^8-5*q^30*x^8-q^42*x^8-4*q^-12*x^9-4*q^-11*x^9-12*q^-10*x^9-22*q^-9*x^9-44*q^-8*x^9-62*q^-7*x^9-135*q^-6*x^9-197*q^-5*x^9-374*q^-4*x^9-516*q^-3*x^9-798*q^-2*x^9-1058*q^-1*x^9-1526*x^9-1372*q*x^9-1401*q^2*x^9-955*q^3*x^9-939*q^4*x^9-974*q^5*x^9-924*q^6*x^9-427*q^7*x^9-169*q^8*x^9-111*q^9*x^9-227*q^10*x^9-255*q^11*x^9-236*q^12*x^9-69*q^13*x^9-11*q^14*x^9+7*q^15*x^9-9*q^16*x^9-25*q^17*x^9-33*q^18*x^9-37*q^19*x^9-60*q^20*x^9-12*q^21*x^9-2*q^22*x^9-q^23*x^9+q^24*x^9-3*q^26*x^9-q^27*x^9-2*q^28*x^9-5*q^29*x^9-18*q^30*x^9-q^31*x^9-5*q^42*x^9-q^56*x^9-2*q^-16*x^10-6*q^-15*x^10-8*q^-14*x^10-14*q^-13*x^10-38*q^-12*x^10-46*q^-11*x^10-92*q^-10*x^10-139*q^-9*x^10-237*q^-8*x^10-343*q^-7*x^10-613*q^-6*x^10-868*q^-5*x^10-1353*q^-4*x^10-1825*q^-3*x^10-2608*q^-2*x^10-3307*q^-1*x^10-4198*x^10-4019*q*x^10-4113*q^2*x^10-3523*q^3*x^10-3587*q^4*x^10-3523*q^5*x^10-3087*q^6*x^10-1817*q^7*x^10-1083*q^8*x^10-912*q^9*x^10-1162*q^10*x^10-1200*q^11*x^10-977*q^12*x^10-384*q^13*x^10-78*q^14*x^10-4*q^15*x^10-87*q^16*x^10-181*q^17*x^10-226*q^18*x^10-214*q^19*x^10-208*q^20*x^10-72*q^21*x^10-20*q^22*x^10+2*q^24*x^10-7*q^25*x^10-23*q^26*x^10-22*q^27*x^10-25*q^28*x^10-37*q^29*x^10-60*q^30*x^10-11*q^31*x^10-2*q^32*x^10-2*q^33*x^10-q^34*x^10+q^35*x^10-3*q^37*x^10-q^38*x^10-q^39*x^10-2*q^40*x^10-5*q^41*x^10-18*q^42*x^10-q^43*x^10-5*q^56*x^10-q^72*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12a_464 | [-1, 3, -2, 3, -4, 3, -2, 3, 3, -2, -1, -4, -3, 2] | [-1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1] | -x^3-6*x^4-q^-1*x^5-21*x^5+4*q*x^5-2*q^-2*x^6-6*q^-1*x^6-54*x^6+24*q*x^6+7*q^2*x^6-2*q^-4*x^7-4*q^-3*x^7-11*q^-2*x^7-19*q^-1*x^7-110*x^7+91*q*x^7+36*q^2*x^7+3*q^3*x^7-4*q^-6*x^8-6*q^-5*x^8-18*q^-4*x^8-18*q^-3*x^8-33*q^-2*x^8-36*q^-1*x^8-175*x^8+265*q*x^8+116*q^2*x^8-2*q^4*x^8-10*q^5*x^8-2*q^-9*x^9-6*q^-8*x^9-11*q^-7*x^9-33*q^-6*x^9-40*q^-5*x^9-60*q^-4*x^9-35*q^-3*x^9-54*q^-2*x^9-20*q^-1*x^9-195*x^9+651*q*x^9+269*q^2*x^9-55*q^3*x^9-40*q^4*x^9-54*q^5*x^9-17*q^6*x^9-16*q^7*x^9-4*q^-12*x^10-4*q^-11*x^10-12*q^-10*x^10-26*q^-9*x^10-50*q^-8*x^10-70*q^-7*x^10-132*q^-6*x^10-100*q^-5*x^10-82*q^-4*x^10+20*q^-3*x^10+4*q^-2*x^10+135*q^-1*x^10-50*x^10+1368*q*x^10+463*q^2*x^10-324*q^3*x^10-218*q^4*x^10-205*q^5*x^10-70*q^6*x^10-110*q^7*x^10-21*q^8*x^10-10*q^9*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12a_465 | [-1, 2, -3, 4, -1, 2, -3, -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] | -x^3-7*x^4-q^-1*x^5-28*x^5-q*x^5-3*q^-2*x^6-7*q^-1*x^6-90*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^7-42*q^-1*x^7-253*x^7-42*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^8-58*q^-3*x^8-108*q^-2*x^8-187*q^-1*x^8-675*x^8-187*q*x^8-108*q^2*x^8-58*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^9-73*q^-5*x^9-192*q^-4*x^9-304*q^-3*x^9-470*q^-2*x^9-730*q^-1*x^9-1760*x^9-730*q*x^9-470*q^2*x^9-304*q^3*x^9-192*q^4*x^9-73*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^10-58*q^-8*x^10-84*q^-7*x^10-247*q^-6*x^10-497*q^-5*x^10-952*q^-4*x^10-1312*q^-3*x^10-1852*q^-2*x^10-2583*q^-1*x^10-4648*x^10-2583*q*x^10-1852*q^2*x^10-1312*q^3*x^10-952*q^4*x^10-497*q^5*x^10-247*q^6*x^10-84*q^7*x^10-58*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_465 | [-1, 3, 4, 3, -2, 3, 3, -2, 4, -3, -3, 2, -1, 2] | [1, -1, -1, 1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -1, -1, 1, -1] | -q*x^3-5*q*x^4-x^5-15*q*x^5-q^2*x^5-q^-1*x^6-5*x^6-37*q*x^6-5*q^2*x^6-4*q^3*x^6-q^-3*x^7-5*q^-1*x^7-19*x^7-81*q*x^7-20*q^2*x^7-20*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^8-57*x^8-170*q*x^8-64*q^2*x^8-73*q^3*x^8-33*q^4*x^8-16*q^5*x^8-3*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^9-4*q^-3*x^9-10*q^-2*x^9-75*q^-1*x^9-155*x^9-349*q*x^9-190*q^2*x^9-218*q^3*x^9-131*q^4*x^9-82*q^5*x^9-40*q^6*x^9-21*q^7*x^9-6*q^8*x^9-3*q^9*x^9-q^10*x^9-2*q^-11*x^10-2*q^-10*x^10-6*q^-9*x^10-14*q^-8*x^10-25*q^-7*x^10-33*q^-6*x^10-44*q^-5*x^10-9*q^-4*x^10-16*q^-3*x^10-60*q^-2*x^10-226*q^-1*x^10-388*x^10-729*q*x^10-518*q^2*x^10-600*q^3*x^10-426*q^4*x^10-320*q^5*x^10-204*q^6*x^10-142*q^7*x^10-60*q^8*x^10-38*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_466 | [1, -2, -2, -2, 1, -2, -1, 2, -1, -2, -2, -2] | [1, 1, -1, 1, -1, -1, 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1] | -q^-2*x^3-2*q^-2*x^4+2*q^-3*x^5-3*q^-2*x^5+q^-1*x^5+q*x^5+q^-4*x^6+4*q^-3*x^6-4*q^-2*x^6+2*q^-1*x^6+2*q*x^6+2*q^2*x^6-q^-5*x^7+q^-4*x^7+6*q^-3*x^7-7*q^-2*x^7+3*q^-1*x^7-2*x^7+q*x^7+4*q^2*x^7+2*q^3*x^7-q^4*x^7-q^7*x^7-q^-7*x^8-3*q^-5*x^8+q^-4*x^8+7*q^-3*x^8-10*q^-2*x^8+3*q^-1*x^8-5*x^8-4*q*x^8+4*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-q^-9*x^9+q^-8*x^9-2*q^-7*x^9+q^-6*x^9-5*q^-5*x^9+2*q^-4*x^9+9*q^-3*x^9-12*q^-2*x^9+5*q^-1*x^9-6*x^9-11*q*x^9+6*q^3*x^9+3*q^4*x^9-2*q^5*x^9-q^7*x^9-2*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^9-2*q^-9*x^10+3*q^-8*x^10-2*q^-7*x^10+4*q^-6*x^10-7*q^-5*x^10+5*q^-4*x^10+12*q^-3*x^10-12*q^-2*x^10+12*q^-1*x^10-3*x^10-16*q*x^10-5*q^2*x^10+5*q^3*x^10+8*q^4*x^10+q^5*x^10+3*q^6*x^10+3*q^7*x^10+6*q^8*x^10-6*q^9*x^10-8*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 |
| 12a_466 | [-1, 2, -3, -4, -1, -2, -2, 3, -4, -2, -2, 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, -1, 1, 1, -1] | -q^-2*x^3-7*q^-2*x^4-28*q^-2*x^5-2*q^-1*x^5-2*q^-4*x^6-86*q^-2*x^6-14*q^-1*x^6-2*q^-6*x^7-6*q^-5*x^7-12*q^-4*x^7-224*q^-2*x^7-60*q^-1*x^7-x^7+14*q*x^7-2*q^2*x^7-4*q^-8*x^8-6*q^-7*x^8-21*q^-6*x^8-38*q^-5*x^8-44*q^-4*x^8-2*q^-3*x^8-513*q^-2*x^8-198*q^-1*x^8-11*x^8+96*q*x^8+46*q^2*x^8-4*q^4*x^8-2*q^-11*x^9-6*q^-10*x^9-10*q^-9*x^9-34*q^-8*x^9-51*q^-7*x^9-108*q^-6*x^9-151*q^-5*x^9-130*q^-4*x^9+7*q^-3*x^9-1058*q^-2*x^9-523*q^-1*x^9-60*x^9+394*q*x^9+372*q^2*x^9+171*q^3*x^9-8*q^4*x^9-9*q^5*x^9-6*q^6*x^9-2*q^7*x^9-4*q^-14*x^10-4*q^-13*x^10-12*q^-12*x^10-26*q^-11*x^10-56*q^-10*x^10-84*q^-9*x^10-180*q^-8*x^10-251*q^-7*x^10-398*q^-6*x^10-475*q^-5*x^10-306*q^-4*x^10+109*q^-3*x^10-1908*q^-2*x^10-1135*q^-1*x^10-154*x^10+1239*q*x^10+1668*q^2*x^10+1276*q^3*x^10+444*q^4*x^10+12*q^5*x^10-64*q^6*x^10-49*q^7*x^10-8*q^8*x^10-4*q^9*x^10-4*q^10*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12a_467 | [-1, 3, -2, 3, -4, -2, 3, -2, 3, -2, -1, -4, -3, 2] | [-1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1] | -q^-1*x^3-7*q^-1*x^4-q^-2*x^5-28*q^-1*x^5+2*x^5-3*q^-3*x^6-7*q^-2*x^6-85*q^-1*x^6+14*x^6+8*q*x^6-2*q^-5*x^7-7*q^-4*x^7-20*q^-3*x^7-29*q^-2*x^7-215*q^-1*x^7+60*x^7+55*q*x^7+12*q^2*x^7-4*q^-7*x^8-5*q^-6*x^8-25*q^-5*x^8-46*q^-4*x^8-76*q^-3*x^8-87*q^-2*x^8-469*q^-1*x^8+206*x^8+232*q*x^8+78*q^2*x^8-10*q^4*x^8-2*q^-10*x^9-6*q^-9*x^9-9*q^-8*x^9-33*q^-7*x^9-48*q^-6*x^9-132*q^-5*x^9-168*q^-4*x^9-201*q^-3*x^9-190*q^-2*x^9-883*q^-1*x^9+628*x^9+768*q*x^9+309*q^2*x^9-26*q^3*x^9-114*q^4*x^9-33*q^5*x^9-20*q^6*x^9-4*q^-13*x^10-4*q^-12*x^10-12*q^-11*x^10-26*q^-10*x^10-52*q^-9*x^10-63*q^-8*x^10-164*q^-7*x^10-241*q^-6*x^10-440*q^-5*x^10-407*q^-4*x^10-353*q^-3*x^10-239*q^-2*x^10-1370*q^-1*x^10+1760*x^10+2177*q*x^10+940*q^2*x^10-230*q^3*x^10-685*q^4*x^10-370*q^5*x^10-172*q^6*x^10-40*q^7*x^10-21*q^8*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_467 | [1, -2, -2, -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*x^3-2*q*x^4+x^5-3*q*x^5+q^2*x^5-q^-3*x^6+2*x^6-4*q*x^6+2*q^2*x^6-2*q^-4*x^7-2*q^-3*x^7+3*x^7-6*q*x^7+3*q^2*x^7-q^4*x^7+q^-6*x^8-2*q^-5*x^8-4*q^-4*x^8-2*q^-3*x^8+q^-2*x^8+4*x^8-8*q*x^8+4*q^2*x^8-2*q^4*x^8-q^-11*x^9+2*q^-7*x^9-4*q^-5*x^9-6*q^-4*x^9+2*q^-2*x^9+5*x^9-10*q*x^9+5*q^2*x^9+q^3*x^9-4*q^4*x^9+q^7*x^9-2*q^-13*x^10-2*q^-12*x^10-2*q^-11*x^10+2*q^-8*x^10+2*q^-7*x^10-2*q^-6*x^10-7*q^-5*x^10-6*q^-4*x^10+2*q^-3*x^10+2*q^-2*x^10-q^-1*x^10+5*x^10-12*q*x^10+6*q^2*x^10+2*q^3*x^10-6*q^4*x^10-2*q^5*x^10+2*q^7*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_468 | [1, 2, 2, 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+q^-1*x^5-3*x^5+q*x^5+2*q^-1*x^6-4*x^6+2*q*x^6+q^2*x^6+q^-5*x^7+3*q^-1*x^7-6*x^7+3*q*x^7+2*q^2*x^7+2*q^-6*x^8+2*q^-5*x^8+4*q^-1*x^8-8*x^8+3*q*x^8+4*q^2*x^8-q^5*x^8-q^-8*x^9+2*q^-7*x^9+4*q^-6*x^9+2*q^-5*x^9-q^-4*x^9+5*q^-1*x^9-10*x^9+3*q*x^9+6*q^2*x^9+2*q^3*x^9-2*q^5*x^9-q^7*x^9-2*q^-9*x^10+4*q^-7*x^10+6*q^-6*x^10-3*q^-4*x^10-q^-3*x^10+6*q^-1*x^10-12*x^10+2*q*x^10+8*q^2*x^10+4*q^3*x^10+3*q^4*x^10-4*q^5*x^10-2*q^7*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12a_468 | [1, 2, -3, -3, 2, -3, 1, -3, 1, -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^-1*x^3-7*q^-1*x^4-q^-2*x^5-28*q^-1*x^5-4*x^5-7*q^-3*x^6-7*q^-2*x^6-89*q^-1*x^6-27*x^6-12*q*x^6-q^2*x^6-5*q^-5*x^7-21*q^-4*x^7-45*q^-3*x^7-43*q^-2*x^7-247*q^-1*x^7-121*x^7-81*q*x^7-37*q^2*x^7-15*q^3*x^7-3*q^4*x^7-12*q^-7*x^8-22*q^-6*x^8-76*q^-5*x^8-145*q^-4*x^8-223*q^-3*x^8-204*q^-2*x^8-661*q^-1*x^8-432*x^8-364*q*x^8-243*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^8-7*q^-10*x^9-26*q^-9*x^9-54*q^-8*x^9-142*q^-7*x^9-254*q^-6*x^9-478*q^-5*x^9-729*q^-4*x^9-936*q^-3*x^9-892*q^-2*x^9-1794*q^-1*x^9-1431*x^9-1340*q*x^9-1090*q^2*x^9-939*q^3*x^9-667*q^4*x^9-462*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^9-16*q^-13*x^10-28*q^-12*x^10-81*q^-11*x^10-170*q^-10*x^10-360*q^-9*x^10-591*q^-8*x^10-1067*q^-7*x^10-1561*q^-6*x^10-2358*q^-5*x^10-3117*q^-4*x^10-3702*q^-3*x^10-3595*q^-2*x^10-5269*q^-1*x^10-4682*x^10-4613*q*x^10-4136*q^2*x^10-3951*q^3*x^10-3394*q^4*x^10-2899*q^5*x^10-2048*q^6*x^10-1435*q^7*x^10-874*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 |
| 12a_469 | [1, 4, -2, -3, 2, 1, 1, -3, 4, -3, 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, 1, 1] | -x^3-6*x^4+4*q^-1*x^5-21*x^5-q*x^5+7*q^-2*x^6+24*q^-1*x^6-52*x^6-6*q*x^6-2*q^2*x^6+3*q^-3*x^7+36*q^-2*x^7+94*q^-1*x^7-98*x^7-12*q*x^7-11*q^2*x^7-4*q^3*x^7-2*q^4*x^7-10*q^-5*x^8-2*q^-4*x^8+114*q^-2*x^8+275*q^-1*x^8-124*x^8+6*q*x^8-16*q^2*x^8-16*q^3*x^8-18*q^4*x^8-6*q^5*x^8-4*q^6*x^8-16*q^-7*x^9-17*q^-6*x^9-54*q^-5*x^9-45*q^-4*x^9-69*q^-3*x^9+236*q^-2*x^9+652*q^-1*x^9-61*x^9+142*q*x^9+53*q^2*x^9+9*q^3*x^9-52*q^4*x^9-36*q^5*x^9-33*q^6*x^9-11*q^7*x^9-6*q^8*x^9-2*q^9*x^9-10*q^-9*x^10-21*q^-8*x^10-110*q^-7*x^10-76*q^-6*x^10-214*q^-5*x^10-259*q^-4*x^10-437*q^-3*x^10+242*q^-2*x^10+1196*q^-1*x^10+139*x^10+527*q*x^10+395*q^2*x^10+266*q^3*x^10+30*q^4*x^10-58*q^5*x^10-116*q^6*x^10-62*q^7*x^10-48*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 | 14 | 14 | Yes | 12 |
| 12a_470 | [1, -2, 3, 4, 1, -2, 4, -2, -2, -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*x^3-7*q*x^4-x^5-28*q*x^5-3*q^-1*x^6-7*x^6-88*q*x^6+q^3*x^6-2*q^-3*x^7-10*q^-2*x^7-20*q^-1*x^7-37*x^7-238*q*x^7-6*q^2*x^7+8*q^3*x^7+2*q^4*x^7-q^5*x^7-4*q^-5*x^8-5*q^-4*x^8-42*q^-3*x^8-71*q^-2*x^8-99*q^-1*x^8-148*x^8-591*q*x^8-40*q^2*x^8+28*q^3*x^8+17*q^4*x^8-3*q^5*x^8-4*q^6*x^8-2*q^7*x^8-2*q^-8*x^9-6*q^-7*x^9-9*q^-6*x^9-34*q^-5*x^9-115*q^-4*x^9-273*q^-3*x^9-341*q^-2*x^9-386*q^-1*x^9-511*x^9-1386*q*x^9-181*q^2*x^9+70*q^3*x^9+72*q^4*x^9+6*q^5*x^9-22*q^6*x^9-20*q^7*x^9-8*q^8*x^9-3*q^9*x^9-q^10*x^9-4*q^-11*x^10-4*q^-10*x^10-12*q^-9*x^10-26*q^-8*x^10-61*q^-7*x^10-91*q^-6*x^10-371*q^-5*x^10-787*q^-4*x^10-1253*q^-3*x^10-1296*q^-2*x^10-1325*q^-1*x^10-1569*x^10-3154*q*x^10-646*q^2*x^10+107*q^3*x^10+233*q^4*x^10+64*q^5*x^10-58*q^6*x^10-92*q^7*x^10-66*q^8*x^10-35*q^9*x^10-18*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_472 | [1, 2, 2, 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+2*q^7*x^7-2*q^8*x^8+3*q^9*x^9-4*q^10*x^10-q^11*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12a_473 | [-1, 2, -3, -4, -1, -2, 3, -2, 3, -4, 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, 1, -1] | -x^3-7*x^4-2*q^-1*x^5-28*x^5+4*q*x^5-3*q^-2*x^6-14*q^-1*x^6-82*x^6+28*q*x^6+9*q^2*x^6-2*q^-4*x^7-3*q^-3*x^7-22*q^-2*x^7-54*q^-1*x^7-188*x^7+125*q*x^7+57*q^2*x^7+6*q^3*x^7-4*q^-6*x^8-4*q^-5*x^8-16*q^-4*x^8-21*q^-3*x^8-90*q^-2*x^8-140*q^-1*x^8-326*x^8+437*q*x^8+228*q^2*x^8+19*q^3*x^8-5*q^4*x^8-13*q^5*x^8-2*q^-9*x^9-6*q^-8*x^9-9*q^-7*x^9-34*q^-6*x^9-26*q^-5*x^9-62*q^-4*x^9-81*q^-3*x^9-252*q^-2*x^9-223*q^-1*x^9-327*x^9+1306*q*x^9+678*q^2*x^9-8*q^3*x^9-92*q^4*x^9-95*q^5*x^9-25*q^6*x^9-20*q^7*x^9-4*q^-12*x^10-4*q^-11*x^10-12*q^-10*x^10-29*q^-9*x^10-55*q^-8*x^10-67*q^-7*x^10-139*q^-6*x^10-57*q^-5*x^10-153*q^-4*x^10-209*q^-3*x^10-470*q^-2*x^10+23*q^-1*x^10+380*x^10+3398*q*x^10+1571*q^2*x^10-408*q^3*x^10-614*q^4*x^10-497*q^5*x^10-146*q^6*x^10-149*q^7*x^10-22*q^8*x^10-11*q^9*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12a_474 | [-1, 2, -3, -4, -1, -2, -2, 3, -4, -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, 1, -1] | -q^-1*x^3-8*q^-1*x^4-2*q^-2*x^5-36*q^-1*x^5-2*x^5-4*q^-3*x^6-16*q^-2*x^6-127*q^-1*x^6-16*x^6-4*q*x^6-2*q^-5*x^7-7*q^-4*x^7-33*q^-3*x^7-84*q^-2*x^7-390*q^-1*x^7-89*x^7-33*q*x^7-10*q^2*x^7-2*q^3*x^7-4*q^-7*x^8-4*q^-6*x^8-28*q^-5*x^8-62*q^-4*x^8-172*q^-3*x^8-356*q^-2*x^8-1116*q^-1*x^8-394*x^8-193*q*x^8-88*q^2*x^8-48*q^3*x^8-4*q^4*x^8-4*q^5*x^8-2*q^-10*x^9-6*q^-9*x^9-8*q^-8*x^9-38*q^-7*x^9-58*q^-6*x^9-190*q^-5*x^9-338*q^-4*x^9-736*q^-3*x^9-1340*q^-2*x^9-3110*q^-1*x^9-1537*x^9-912*q*x^9-529*q^2*x^9-364*q^3*x^9-144*q^4*x^9-42*q^5*x^9-8*q^6*x^9-6*q^7*x^9-2*q^8*x^9-4*q^-13*x^10-4*q^-12*x^10-12*q^-11*x^10-28*q^-10*x^10-62*q^-9*x^10-84*q^-8*x^10-252*q^-7*x^10-421*q^-6*x^10-942*q^-5*x^10-1512*q^-4*x^10-2851*q^-3*x^10-4716*q^-2*x^10-8712*q^-1*x^10-5557*x^10-3838*q*x^10-2568*q^2*x^10-1999*q^3*x^10-1180*q^4*x^10-568*q^5*x^10-128*q^6*x^10-72*q^7*x^10-28*q^8*x^10-12*q^9*x^10-4*q^10*x^10-4*q^11*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12a_475 | [1, 2, -3, 2, 2, -3, 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] | -q*x^3-7*q*x^4-2*x^5-28*q*x^5+2*q^2*x^5-3*q^-1*x^6-14*x^6-86*q*x^6+14*q^2*x^6+5*q^3*x^6-4*q^-3*x^7-4*q^-2*x^7-20*q^-1*x^7-62*x^7-220*q*x^7+58*q^2*x^7+34*q^3*x^7+7*q^4*x^7-10*q^-5*x^8-17*q^-4*x^8-31*q^-3*x^8-20*q^-2*x^8-91*q^-1*x^8-205*x^8-493*q*x^8+195*q^2*x^8+145*q^3*x^8+43*q^4*x^8+10*q^5*x^8-3*q^6*x^8-6*q^-8*x^9-22*q^-7*x^9-47*q^-6*x^9-111*q^-5*x^9-117*q^-4*x^9-102*q^-3*x^9-68*q^-2*x^9-314*q^-1*x^9-574*x^9-977*q*x^9+583*q^2*x^9+495*q^3*x^9+178*q^4*x^9+53*q^5*x^9-7*q^6*x^9-2*q^7*x^9-6*q^8*x^9-14*q^-11*x^10-24*q^-10*x^10-66*q^-9*x^10-145*q^-8*x^10-277*q^-7*x^10-413*q^-6*x^10-556*q^-5*x^10-339*q^-4*x^10-169*q^-3*x^10-172*q^-2*x^10-938*q^-1*x^10-1404*x^10-1706*q*x^10+1630*q^2*x^10+1480*q^3*x^10+606*q^4*x^10+192*q^5*x^10-26*q^6*x^10+3*q^7*x^10-41*q^8*x^10-10*q^9*x^10-8*q^10*x^10+q^11*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_475 | [1, -2, -2, 1, -3, 2, -1, 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^-1*x^2-q^-1*x^3-q^-1*x^4+q^-3*x^5-q^-1*x^5+q^-8*x^6+q^-6*x^6+q^-3*x^6+q^-2*x^6-q^-1*x^6+q^-9*x^7+q^-8*x^7+q^-6*x^7+q^-5*x^7+q^-3*x^7+q^-2*x^7+q^-12*x^8+q^-9*x^8+2*q^-8*x^8+q^-5*x^8+q^-4*x^8+q^-3*x^8+q^-2*x^8+x^8-q^-14*x^9+q^-12*x^9-q^-10*x^9+q^-9*x^9+2*q^-8*x^9+q^-7*x^9+2*q^-3*x^9+q^-2*x^9+x^9+q*x^9-q^-22*x^10-q^-19*x^10-q^-18*x^10-q^-15*x^10-2*q^-14*x^10-q^-13*x^10+q^-12*x^10-q^-10*x^10-q^-9*x^10+q^-8*x^10+q^-7*x^10+q^-6*x^10-q^-4*x^10+q^-3*x^10+q^-2*x^10+x^10+q*x^10+q^2*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12a_476 | [-1, 2, -3, -1, -3, 4, -3, -3, 2, -3, 4, -3] | [-1, -1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1] | -q^-2*x^3-6*q^-2*x^4+3*q^-3*x^5-21*q^-2*x^5-4*q^-1*x^5+q^-4*x^6+18*q^-3*x^6-52*q^-2*x^6-24*q^-1*x^6-10*x^6-q^-6*x^7-6*q^-5*x^7+4*q^-4*x^7+68*q^-3*x^7-90*q^-2*x^7-72*q^-1*x^7-64*x^7-21*q*x^7-6*q^2*x^7-2*q^-8*x^8-6*q^-7*x^8-12*q^-6*x^8-35*q^-5*x^8+q^-4*x^8+192*q^-3*x^8-79*q^-2*x^8-112*q^-1*x^8-198*x^8-138*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^9-9*q^-9*x^9-13*q^-8*x^9-38*q^-7*x^9-52*q^-6*x^9-141*q^-5*x^9-66*q^-4*x^9+418*q^-3*x^9+102*q^-2*x^9+47*q^-1*x^9-309*x^9-402*q*x^9-379*q^2*x^9-199*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^10-13*q^-11*x^10-26*q^-10*x^10-52*q^-9*x^10-62*q^-8*x^10-132*q^-7*x^10-168*q^-6*x^10-452*q^-5*x^10-397*q^-4*x^10+608*q^-3*x^10+545*q^-2*x^10+805*q^-1*x^10+150*x^10-438*q*x^10-922*q^2*x^10-800*q^3*x^10-706*q^4*x^10-440*q^5*x^10-316*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 |
| 12a_477 | [-1, 2, -3, 4, -5, 6, -1, 2, -3, 4, -5, 6] | [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^2-10*x^3-7*q^-1*x^4-55*x^4-7*q*x^4-18*q^-2*x^5-70*q^-1*x^5-236*x^5-70*q*x^5-18*q^2*x^5-11*q^-4*x^6-39*q^-3*x^6-197*q^-2*x^6-437*q^-1*x^6-924*x^6-437*q*x^6-197*q^2*x^6-39*q^3*x^6-11*q^4*x^6-26*q^-6*x^7-42*q^-5*x^7-186*q^-4*x^7-504*q^-3*x^7-1328*q^-2*x^7-2268*q^-1*x^7-3560*x^7-2268*q*x^7-1328*q^2*x^7-504*q^3*x^7-186*q^4*x^7-42*q^5*x^7-26*q^6*x^7-15*q^-9*x^8-55*q^-8*x^8-106*q^-7*x^8-371*q^-6*x^8-681*q^-5*x^8-1855*q^-4*x^8-3845*q^-3*x^8-7392*q^-2*x^8-10746*q^-1*x^8-14080*x^8-10746*q*x^8-7392*q^2*x^8-3845*q^3*x^8-1855*q^4*x^8-681*q^5*x^8-371*q^6*x^8-106*q^7*x^8-55*q^8*x^8-15*q^9*x^8-34*q^-12*x^9-58*q^-11*x^9-166*q^-10*x^9-388*q^-9*x^9-888*q^-8*x^9-1624*q^-7*x^9-3634*q^-6*x^9-6692*q^-5*x^9-13610*q^-4*x^9-23548*q^-3*x^9-37360*q^-2*x^9-49002*q^-1*x^9-57589*x^9-49002*q*x^9-37360*q^2*x^9-23548*q^3*x^9-13610*q^4*x^9-6692*q^5*x^9-3634*q^6*x^9-1624*q^7*x^9-888*q^8*x^9-388*q^9*x^9-166*q^10*x^9-58*q^11*x^9-34*q^12*x^9-19*q^-16*x^10-71*q^-15*x^10-142*q^-14*x^10-291*q^-13*x^10-781*q^-12*x^10-1325*q^-11*x^10-2687*q^-10*x^10-4905*q^-9*x^10-9242*q^-8*x^10-15858*q^-7*x^10-29426*q^-6*x^10-49789*q^-5*x^10-84553*q^-4*x^10-128431*q^-3*x^10-180030*q^-2*x^10-219974*q^-1*x^10-243202*x^10-219974*q*x^10-180030*q^2*x^10-128431*q^3*x^10-84553*q^4*x^10-49789*q^5*x^10-29426*q^6*x^10-15858*q^7*x^10-9242*q^8*x^10-4905*q^9*x^10-2687*q^10*x^10-1325*q^11*x^10-781*q^12*x^10-291*q^13*x^10-142*q^14*x^10-71*q^15*x^10-19*q^16*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12a_478 | [-1, 2, -3, -1, -3, 4, -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] | -q^-1*x^3-7*q^-1*x^4-28*q^-1*x^5-3*x^5-2*q^-3*x^6-89*q^-1*x^6-21*x^6-7*q*x^6-2*q^-5*x^7-6*q^-4*x^7-12*q^-3*x^7-9*q^-2*x^7-245*q^-1*x^7-100*x^7-50*q*x^7-15*q^2*x^7-5*q^3*x^7-4*q^-7*x^8-6*q^-6*x^8-20*q^-5*x^8-41*q^-4*x^8-62*q^-3*x^8-64*q^-2*x^8-635*q^-1*x^8-371*x^8-250*q*x^8-114*q^2*x^8-65*q^3*x^8-20*q^4*x^8-12*q^5*x^8-2*q^-10*x^9-6*q^-9*x^9-10*q^-8*x^9-34*q^-7*x^9-52*q^-6*x^9-113*q^-5*x^9-202*q^-4*x^9-271*q^-3*x^9-325*q^-2*x^9-1597*q^-1*x^9-1237*x^9-992*q*x^9-598*q^2*x^9-398*q^3*x^9-218*q^4*x^9-138*q^5*x^9-52*q^6*x^9-26*q^7*x^9-7*q^8*x^9-4*q^-13*x^10-4*q^-12*x^10-12*q^-11*x^10-26*q^-10*x^10-59*q^-9*x^10-97*q^-8*x^10-192*q^-7*x^10-290*q^-6*x^10-533*q^-5*x^10-838*q^-4*x^10-1092*q^-3*x^10-1345*q^-2*x^10-4080*q^-1*x^10-3824*x^10-3526*q*x^10-2534*q^2*x^10-1902*q^3*x^10-1265*q^4*x^10-962*q^5*x^10-544*q^6*x^10-341*q^7*x^10-168*q^8*x^10-80*q^9*x^10-28*q^10*x^10-16*q^11*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12a_479 | [-1, -3, -4, -2, 3, 3, -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, -1, 1, -1, -1] | -x^3-7*x^4-2*q^-1*x^5-28*x^5+2*q*x^5-3*q^-2*x^6-14*q^-1*x^6-85*x^6+14*q*x^6+4*q^2*x^6-2*q^-4*x^7-3*q^-3*x^7-22*q^-2*x^7-59*q^-1*x^7-213*x^7+59*q*x^7+27*q^2*x^7+4*q^3*x^7-4*q^-6*x^8-4*q^-5*x^8-16*q^-4*x^8-22*q^-3*x^8-97*q^-2*x^8-186*q^-1*x^8-457*x^8+199*q*x^8+112*q^2*x^8+24*q^3*x^8+8*q^4*x^8-4*q^5*x^8-2*q^-9*x^9-6*q^-8*x^9-9*q^-7*x^9-34*q^-6*x^9-28*q^-5*x^9-65*q^-4*x^9-98*q^-3*x^9-324*q^-2*x^9-473*q^-1*x^9-844*x^9+592*q*x^9+367*q^2*x^9+92*q^3*x^9+46*q^4*x^9-q^5*x^9-8*q^6*x^9-9*q^7*x^9-4*q^-12*x^10-4*q^-11*x^10-12*q^-10*x^10-29*q^-9*x^10-56*q^-8*x^10-71*q^-7*x^10-147*q^-6*x^10-82*q^-5*x^10-189*q^-4*x^10-339*q^-3*x^10-887*q^-2*x^10-997*q^-1*x^10-1277*x^10+1607*q*x^10+1042*q^2*x^10+289*q^3*x^10+175*q^4*x^10+56*q^5*x^10+8*q^6*x^10-82*q^7*x^10-25*q^8*x^10-12*q^9*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12a_480 | [1, 2, -3, 2, -3, 2, 4, 1, 1, -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+8*q^-1*x^6+14*x^6-85*q*x^6+q^3*x^6+12*q^-2*x^7+55*q^-1*x^7+61*x^7-217*q*x^7-3*q^2*x^7+8*q^3*x^7+2*q^4*x^7-q^5*x^7-10*q^-4*x^8+78*q^-2*x^8+236*q^-1*x^8+205*x^8-489*q*x^8-24*q^2*x^8+29*q^3*x^8+19*q^4*x^8-3*q^5*x^8-4*q^6*x^8-2*q^7*x^8-20*q^-6*x^9-33*q^-5*x^9-114*q^-4*x^9-28*q^-3*x^9+317*q^-2*x^9+784*q^-1*x^9+599*x^9-1010*q*x^9-119*q^2*x^9+68*q^3*x^9+82*q^4*x^9+14*q^5*x^9-18*q^6*x^9-20*q^7*x^9-8*q^8*x^9-3*q^9*x^9-q^10*x^9-21*q^-8*x^10-40*q^-7*x^10-172*q^-6*x^10-373*q^-5*x^10-701*q^-4*x^10-227*q^-3*x^10+999*q^-2*x^10+2246*q^-1*x^10+1584*x^10-1952*q*x^10-457*q^2*x^10+62*q^3*x^10+249*q^4*x^10+123*q^5*x^10-9*q^6*x^10-74*q^7*x^10-58*q^8*x^10-33*q^9*x^10-18*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_480 | [-1, 2, 3, -1, 3, -4, -2, 3, 2, -4, 2, -3] | [-1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, -1, -1, 1, -1] | -x^2-q^-2*x^3-4*x^3-q^-6*x^4-4*q^-2*x^4+4*q^-1*x^4-10*x^4-q^-12*x^5-4*q^-6*x^5+4*q^-5*x^5+6*q^-4*x^5-6*q^-2*x^5+16*q^-1*x^5-15*x^5-q^-20*x^6-4*q^-12*x^6+4*q^-11*x^6+4*q^-10*x^6+6*q^-9*x^6+2*q^-8*x^6+2*q^-7*x^6-6*q^-6*x^6+22*q^-5*x^6+27*q^-4*x^6+2*q^-3*x^6-8*q^-2*x^6+44*q^-1*x^6-15*x^6+4*q*x^6-q^-30*x^7-4*q^-20*x^7+4*q^-19*x^7+4*q^-18*x^7+4*q^-17*x^7+6*q^-16*x^7+2*q^-15*x^7+4*q^-14*x^7+2*q^-13*x^7-6*q^-12*x^7+18*q^-11*x^7+25*q^-10*x^7+26*q^-9*x^7-12*q^-7*x^7-9*q^-6*x^7+60*q^-5*x^7+74*q^-4*x^7-23*q^-2*x^7+80*q^-1*x^7-2*x^7+16*q*x^7-q^-42*x^8-4*q^-30*x^8+4*q^-29*x^8+4*q^-28*x^8+4*q^-27*x^8+4*q^-26*x^8+6*q^-25*x^8+2*q^-24*x^8+4*q^-23*x^8+4*q^-22*x^8+2*q^-21*x^8-6*q^-20*x^8+18*q^-19*x^8+21*q^-18*x^8+20*q^-17*x^8+20*q^-16*x^8-6*q^-15*x^8-14*q^-14*x^8-24*q^-13*x^8-27*q^-12*x^8+42*q^-11*x^8+67*q^-10*x^8+40*q^-9*x^8-62*q^-8*x^8-116*q^-7*x^8-57*q^-6*x^8+110*q^-5*x^8+150*q^-4*x^8-32*q^-3*x^8-94*q^-2*x^8+88*q^-1*x^8+12*x^8+40*q*x^8-8*q^3*x^8-q^-56*x^9-4*q^-42*x^9+4*q^-41*x^9+4*q^-40*x^9+4*q^-39*x^9+4*q^-38*x^9+4*q^-37*x^9+6*q^-36*x^9+2*q^-35*x^9+4*q^-34*x^9+4*q^-33*x^9+4*q^-32*x^9+2*q^-31*x^9-6*q^-30*x^9+18*q^-29*x^9+21*q^-28*x^9+16*q^-27*x^9+14*q^-26*x^9+10*q^-25*x^9-12*q^-24*x^9-20*q^-23*x^9-24*q^-22*x^9-36*q^-21*x^9-39*q^-20*x^9+18*q^-19*x^9+39*q^-18*x^9+24*q^-17*x^9-7*q^-16*x^9-132*q^-15*x^9-186*q^-14*x^9-200*q^-13*x^9-128*q^-12*x^9+80*q^-11*x^9+138*q^-10*x^9-16*q^-9*x^9-335*q^-8*x^9-484*q^-7*x^9-260*q^-6*x^9+148*q^-5*x^9+276*q^-4*x^9-110*q^-3*x^9-298*q^-2*x^9-24*q^-1*x^9-29*x^9+72*q*x^9+12*q^2*x^9-36*q^3*x^9-21*q^4*x^9-q^-72*x^10-4*q^-56*x^10+4*q^-55*x^10+4*q^-54*x^10+4*q^-53*x^10+4*q^-52*x^10+4*q^-51*x^10+4*q^-50*x^10+6*q^-49*x^10+2*q^-48*x^10+4*q^-47*x^10+4*q^-46*x^10+4*q^-45*x^10+4*q^-44*x^10+2*q^-43*x^10-6*q^-42*x^10+18*q^-41*x^10+21*q^-40*x^10+16*q^-39*x^10+10*q^-38*x^10+4*q^-37*x^10+4*q^-36*x^10-22*q^-35*x^10-26*q^-34*x^10-30*q^-33*x^10-36*q^-32*x^10-46*q^-31*x^10-55*q^-30*x^10+15*q^-28*x^10-6*q^-27*x^10-27*q^-26*x^10-80*q^-25*x^10-169*q^-24*x^10-240*q^-23*x^10-245*q^-22*x^10-242*q^-21*x^10-150*q^-20*x^10+24*q^-19*x^10+124*q^-18*x^10+24*q^-17*x^10-175*q^-16*x^10-604*q^-15*x^10-777*q^-14*x^10-708*q^-13*x^10-258*q^-12*x^10+346*q^-11*x^10+452*q^-10*x^10-118*q^-9*x^10-998*q^-8*x^10-1390*q^-7*x^10-770*q^-6*x^10+194*q^-5*x^10+609*q^-4*x^10-118*q^-3*x^10-635*q^-2*x^10-386*q^-1*x^10-244*x^10+62*q*x^10+76*q^2*x^10-46*q^3*x^10-76*q^4*x^10-44*q^5*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_481 | [-1, 2, 3, -1, 3, -4, 3, -2, 3, 2, -4, -3] | [1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, -1] | -x^2-q^-2*x^3-3*x^3-q^-6*x^4+q^-3*x^4-3*q^-2*x^4+2*q^-1*x^4-6*x^4+2*q*x^4-q^-12*x^5+q^-8*x^5+q^-7*x^5-3*q^-6*x^5+2*q^-5*x^5+4*q^-4*x^5+3*q^-3*x^5-4*q^-2*x^5+8*q^-1*x^5-8*x^5+6*q*x^5+3*q^2*x^5-q^-20*x^6+q^-15*x^6+q^-14*x^6+q^-13*x^6-3*q^-12*x^6+2*q^-11*x^6+2*q^-10*x^6+3*q^-9*x^6+5*q^-8*x^6+4*q^-7*x^6-6*q^-6*x^6+9*q^-5*x^6+13*q^-4*x^6+6*q^-3*x^6-6*q^-2*x^6+18*q^-1*x^6-10*x^6+10*q*x^6+8*q^2*x^6+q^3*x^6-q^-30*x^7+q^-24*x^7+q^-23*x^7+q^-22*x^7+q^-21*x^7-3*q^-20*x^7+2*q^-19*x^7+2*q^-18*x^7+q^-17*x^7+3*q^-16*x^7+4*q^-15*x^7+6*q^-14*x^7+2*q^-13*x^7-8*q^-12*x^7+3*q^-11*x^7+6*q^-10*x^7+10*q^-9*x^7+8*q^-8*x^7-2*q^-7*x^7-16*q^-6*x^7+15*q^-5*x^7+23*q^-4*x^7-2*q^-3*x^7-21*q^-2*x^7+23*q^-1*x^7-16*x^7+7*q*x^7+6*q^2*x^7-q^3*x^7-q^4*x^7-4*q^5*x^7-q^-42*x^8+q^-35*x^8+q^-34*x^8+q^-33*x^8+q^-32*x^8+q^-31*x^8-3*q^-30*x^8+2*q^-29*x^8+2*q^-28*x^8+q^-27*x^8+q^-26*x^8+2*q^-25*x^8+4*q^-24*x^8+5*q^-23*x^8+4*q^-22*x^8-10*q^-20*x^8+q^-19*x^8+q^-18*x^8-q^-17*x^8+6*q^-16*x^8+3*q^-15*x^8+2*q^-14*x^8-15*q^-13*x^8-33*q^-12*x^8-10*q^-11*x^8+6*q^-10*x^8+6*q^-9*x^8-11*q^-8*x^8-45*q^-7*x^8-51*q^-6*x^8+11*q^-5*x^8+26*q^-4*x^8-38*q^-3*x^8-69*q^-2*x^8+6*q^-1*x^8-29*x^8-9*q*x^8-10*q^2*x^8-19*q^3*x^8-4*q^4*x^8-15*q^5*x^8-4*q^6*x^8-5*q^7*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+q^-43*x^9-3*q^-42*x^9+2*q^-41*x^9+2*q^-40*x^9+q^-39*x^9+q^-38*x^9+2*q^-36*x^9+3*q^-35*x^9+5*q^-34*x^9+3*q^-33*x^9+2*q^-32*x^9-2*q^-31*x^9-12*q^-30*x^9-q^-28*x^9-6*q^-27*x^9-4*q^-26*x^9-3*q^-25*x^9+q^-24*x^9-q^-23*x^9-7*q^-22*x^9-24*q^-21*x^9-44*q^-20*x^9-24*q^-19*x^9-17*q^-18*x^9-17*q^-17*x^9+2*q^-16*x^9-21*q^-15*x^9-36*q^-14*x^9-77*q^-13*x^9-95*q^-12*x^9-31*q^-11*x^9+16*q^-10*x^9-3*q^-9*x^9-72*q^-8*x^9-140*q^-7*x^9-105*q^-6*x^9+24*q^-5*x^9+49*q^-4*x^9-88*q^-3*x^9-151*q^-2*x^9-27*q^-1*x^9-33*x^9-6*q*x^9-25*q^2*x^9-50*q^3*x^9-10*q^4*x^9-18*q^5*x^9-4*q^6*x^9-15*q^7*x^9-2*q^8*x^9-q^9*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+q^-57*x^10-3*q^-56*x^10+2*q^-55*x^10+2*q^-54*x^10+q^-53*x^10+q^-52*x^10+q^-49*x^10+3*q^-48*x^10+4*q^-47*x^10+3*q^-46*x^10+q^-45*x^10-4*q^-43*x^10-13*q^-42*x^10-2*q^-41*x^10-2*q^-40*x^10-7*q^-39*x^10-9*q^-38*x^10-13*q^-37*x^10-4*q^-36*x^10-6*q^-35*x^10-q^-34*x^10-8*q^-33*x^10-14*q^-32*x^10-31*q^-31*x^10-49*q^-30*x^10-28*q^-29*x^10-24*q^-28*x^10-35*q^-27*x^10-16*q^-26*x^10-13*q^-25*x^10-2*q^-24*x^10-22*q^-23*x^10-37*q^-22*x^10-78*q^-21*x^10-97*q^-20*x^10-47*q^-19*x^10+5*q^-18*x^10+18*q^-17*x^10+50*q^-16*x^10-28*q^-15*x^10-81*q^-14*x^10-156*q^-13*x^10-106*q^-12*x^10+65*q^-11*x^10+172*q^-10*x^10+67*q^-9*x^10-114*q^-8*x^10-236*q^-7*x^10-83*q^-6*x^10+174*q^-5*x^10+228*q^-4*x^10-55*q^-3*x^10-200*q^-2*x^10-33*q^-1*x^10+40*x^10+98*q*x^10+53*q^2*x^10-45*q^3*x^10+7*q^4*x^10+4*q^5*x^10+48*q^6*x^10+8*q^8*x^10+5*q^9*x^10+7*q^10*x^10+3*q^11*x^10+6*q^12*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_482 | [-1, 2, 3, -4, 3, -2, -1, 3, 3, 2, -4, -3] | [1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 1, -1, -1, -1, 1, -1, -1] | -x^2-q^-2*x^3-4*x^3-q^-6*x^4-4*q^-2*x^4-10*x^4-q^-12*x^5-4*q^-6*x^5+2*q^-4*x^5-14*q^-2*x^5-19*x^5-q^-20*x^6-4*q^-12*x^6+2*q^-9*x^6+2*q^-8*x^6-2*q^-7*x^6-14*q^-6*x^6+2*q^-5*x^6+10*q^-4*x^6-4*q^-3*x^6-37*q^-2*x^6-4*q^-1*x^6-31*x^6-q^-30*x^7-4*q^-20*x^7+2*q^-16*x^7+2*q^-15*x^7-2*q^-13*x^7-14*q^-12*x^7-2*q^-11*x^7+4*q^-10*x^7+14*q^-9*x^7+9*q^-8*x^7-14*q^-7*x^7-41*q^-6*x^7+6*q^-5*x^7+24*q^-4*x^7-15*q^-3*x^7-86*q^-2*x^7-19*q^-1*x^7-51*x^7-4*q^2*x^7-q^-42*x^8-4*q^-30*x^8+2*q^-25*x^8+2*q^-24*x^8-2*q^-21*x^8-14*q^-20*x^8-2*q^-19*x^8+4*q^-17*x^8+14*q^-16*x^8+13*q^-15*x^8-q^-14*x^8-20*q^-13*x^8-47*q^-12*x^8-11*q^-11*x^8+29*q^-10*x^8+59*q^-9*x^8+22*q^-8*x^8-59*q^-7*x^8-113*q^-6*x^8-3*q^-5*x^8+46*q^-4*x^8-39*q^-3*x^8-179*q^-2*x^8-69*q^-1*x^8-88*x^8-7*q*x^8-17*q^2*x^8-12*q^3*x^8-q^-56*x^9-4*q^-42*x^9+2*q^-36*x^9+2*q^-35*x^9-2*q^-31*x^9-14*q^-30*x^9-2*q^-29*x^9+4*q^-26*x^9+14*q^-25*x^9+13*q^-24*x^9+3*q^-23*x^9-5*q^-22*x^9-20*q^-21*x^9-49*q^-20*x^9-19*q^-19*x^9+4*q^-18*x^9+35*q^-17*x^9+69*q^-16*x^9+51*q^-15*x^9-20*q^-14*x^9-102*q^-13*x^9-153*q^-12*x^9-27*q^-11*x^9+124*q^-10*x^9+187*q^-9*x^9+31*q^-8*x^9-194*q^-7*x^9-307*q^-6*x^9-63*q^-5*x^9+66*q^-4*x^9-74*q^-3*x^9-349*q^-2*x^9-201*q^-1*x^9-188*x^9-33*q*x^9-49*q^2*x^9-51*q^3*x^9-26*q^4*x^9-q^-72*x^10-4*q^-56*x^10+2*q^-49*x^10+2*q^-48*x^10-2*q^-43*x^10-14*q^-42*x^10-2*q^-41*x^10+4*q^-37*x^10+14*q^-36*x^10+13*q^-35*x^10+3*q^-34*x^10-q^-33*x^10-5*q^-32*x^10-20*q^-31*x^10-49*q^-30*x^10-21*q^-29*x^10-4*q^-28*x^10+8*q^-27*x^10+37*q^-26*x^10+71*q^-25*x^10+63*q^-24*x^10+13*q^-23*x^10-49*q^-22*x^10-118*q^-21*x^10-181*q^-20*x^10-85*q^-19*x^10+46*q^-18*x^10+189*q^-17*x^10+275*q^-16*x^10+157*q^-15*x^10-128*q^-14*x^10-404*q^-13*x^10-451*q^-12*x^10-42*q^-11*x^10+396*q^-10*x^10+488*q^-9*x^10+27*q^-8*x^10-556*q^-7*x^10-794*q^-6*x^10-292*q^-5*x^10+58*q^-4*x^10-128*q^-3*x^10-630*q^-2*x^10-513*q^-1*x^10-462*x^10-160*q*x^10-116*q^2*x^10-132*q^3*x^10-105*q^4*x^10-47*q^5*x^10-q^6*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12a_483 | [-1, 2, -3, -4, -1, -2, 3, -2, -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^-1*x^3-8*q^-1*x^4-q^-2*x^5-36*q^-1*x^5-8*q^-2*x^6-124*q^-1*x^6+4*q*x^6-q^-5*x^7+3*q^-4*x^7-42*q^-2*x^7-362*q^-1*x^7-x^7+33*q*x^7+9*q^2*x^7-q^3*x^7-2*q^-7*x^8-2*q^-6*x^8+26*q^-4*x^8-4*q^-3*x^8-172*q^-2*x^8-943*q^-1*x^8-2*x^8+169*q*x^8+78*q^2*x^8-6*q^3*x^8-8*q^4*x^8-2*q^5*x^8-q^-10*x^9-3*q^-9*x^9-6*q^-8*x^9-19*q^-7*x^9-q^-6*x^9+41*q^-5*x^9+133*q^-4*x^9-39*q^-3*x^9-596*q^-2*x^9-2263*q^-1*x^9+36*x^9+687*q*x^9+428*q^2*x^9-5*q^3*x^9-114*q^4*x^9-47*q^5*x^9-19*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^10-20*q^-10*x^10-36*q^-9*x^10-52*q^-8*x^10-64*q^-7*x^10+90*q^-6*x^10+310*q^-5*x^10+510*q^-4*x^10-234*q^-3*x^10-1848*q^-2*x^10-5088*q^-1*x^10+325*x^10+2479*q*x^10+1863*q^2*x^10+143*q^3*x^10-706*q^4*x^10-547*q^5*x^10-230*q^6*x^10-81*q^7*x^10-36*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_484 | [1, -3, -3, -2, 1, -4, 1, 3, -4, 2, -3, 2, -3, 2] | [1, 1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1] | -x^3-8*x^4-2*q^-1*x^5-36*x^5-2*q*x^5-5*q^-2*x^6-16*q^-1*x^6-127*x^6-15*q*x^6-3*q^2*x^6-q^3*x^6-4*q^-4*x^7-13*q^-3*x^7-39*q^-2*x^7-83*q^-1*x^7-387*x^7-82*q*x^7-21*q^2*x^7-7*q^3*x^7-9*q^4*x^7-3*q^5*x^7-10*q^-6*x^8-16*q^-5*x^8-60*q^-4*x^8-104*q^-3*x^8-193*q^-2*x^8-338*q^-1*x^8-1084*x^8-348*q*x^8-121*q^2*x^8-35*q^3*x^8-52*q^4*x^8-42*q^5*x^8-24*q^6*x^8-9*q^7*x^8-3*q^8*x^8-6*q^-9*x^9-22*q^-8*x^9-42*q^-7*x^9-114*q^-6*x^9-192*q^-5*x^9-394*q^-4*x^9-518*q^-3*x^9-764*q^-2*x^9-1189*q^-1*x^9-2884*x^9-1267*q*x^9-557*q^2*x^9-188*q^3*x^9-211*q^4*x^9-223*q^5*x^9-213*q^6*x^9-126*q^7*x^9-75*q^8*x^9-37*q^9*x^9-17*q^10*x^9-8*q^11*x^9-q^12*x^9-14*q^-12*x^10-24*q^-11*x^10-66*q^-10*x^10-140*q^-9*x^10-280*q^-8*x^10-424*q^-7*x^10-815*q^-6*x^10-1216*q^-5*x^10-1835*q^-4*x^10-2062*q^-3*x^10-2653*q^-2*x^10-3788*q^-1*x^10-7440*x^10-4158*q*x^10-2205*q^2*x^10-902*q^3*x^10-809*q^4*x^10-890*q^5*x^10-1029*q^6*x^10-854*q^7*x^10-642*q^8*x^10-426*q^9*x^10-271*q^10*x^10-163*q^11*x^10-95*q^12*x^10-48*q^13*x^10-27*q^14*x^10-9*q^15*x^10-3*q^16*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_484 | [3, 3, -2, 3, -1, -2, 3, 2, 2, 2, -1, -1, -2] | [-1, -1, -1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1] | -q*x^2-3*q*x^3-q^3*x^3-x^4-6*q*x^4+3*q^2*x^4-3*q^3*x^4-q^7*x^4-2*q^-1*x^5-3*x^5-6*q*x^5+8*q^2*x^5-4*q^3*x^5+2*q^4*x^5+q^5*x^5+q^6*x^5-3*q^7*x^5-q^13*x^5-q^-3*x^6-3*q^-2*x^6-6*q^-1*x^6+3*x^6-2*q*x^6+14*q^2*x^6-5*q^3*x^6+10*q^4*x^6+7*q^5*x^6+2*q^6*x^6-6*q^7*x^6+q^8*x^6+q^10*x^6+q^11*x^6+q^12*x^6-3*q^13*x^6-q^21*x^6-2*q^-5*x^7-2*q^-4*x^7-7*q^-3*x^7-6*q^-2*x^7+6*q^-1*x^7+20*x^7+2*q*x^7+15*q^2*x^7+2*q^3*x^7+32*q^4*x^7+18*q^5*x^7-8*q^6*x^7-15*q^7*x^7+4*q^8*x^7+5*q^9*x^7+5*q^10*x^7+6*q^11*x^7+3*q^12*x^7-6*q^13*x^7+q^14*x^7-q^15*x^7+q^17*x^7+q^18*x^7+q^19*x^7+q^20*x^7-3*q^21*x^7-q^31*x^7-q^-8*x^8-3*q^-7*x^8-4*q^-6*x^8-9*q^-5*x^8-5*q^-4*x^8-6*q^-3*x^8+23*q^-2*x^8+39*q^-1*x^8+32*x^8-12*q*x^8+23*q^2*x^8+36*q^3*x^8+72*q^4*x^8+14*q^5*x^8-53*q^6*x^8-44*q^7*x^8+12*q^8*x^8+26*q^9*x^8+17*q^10*x^8+11*q^11*x^8+4*q^12*x^8-11*q^13*x^8+q^14*x^8-2*q^15*x^8+q^16*x^8+5*q^17*x^8+6*q^18*x^8+7*q^19*x^8+3*q^20*x^8-6*q^21*x^8+q^22*x^8-q^23*x^8-q^24*x^8+q^26*x^8+q^27*x^8+q^28*x^8+q^29*x^8+q^30*x^8-3*q^31*x^8-q^43*x^8-2*q^-11*x^9-2*q^-10*x^9-6*q^-9*x^9-9*q^-8*x^9-12*q^-7*x^9-5*q^-6*x^9-3*q^-5*x^9+20*q^-4*x^9+51*q^-3*x^9+76*q^-2*x^9+49*q^-1*x^9-22*q*x^9+80*q^2*x^9+107*q^3*x^9+83*q^4*x^9-78*q^5*x^9-183*q^6*x^9-90*q^7*x^9+51*q^8*x^9+98*q^9*x^9+36*q^10*x^9-q^11*x^9-18*q^12*x^9-28*q^13*x^9-2*q^14*x^9+q^15*x^9+6*q^16*x^9+15*q^17*x^9+19*q^18*x^9+18*q^19*x^9+6*q^20*x^9-9*q^21*x^9+2*q^22*x^9-5*q^23*x^9-6*q^24*x^9+q^25*x^9+4*q^26*x^9+6*q^27*x^9+7*q^28*x^9+7*q^29*x^9+3*q^30*x^9-6*q^31*x^9+q^32*x^9-q^33*x^9-q^34*x^9-q^35*x^9+q^37*x^9+q^38*x^9+q^39*x^9+q^40*x^9+q^41*x^9+q^42*x^9-3*q^43*x^9-q^57*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^10-11*q^-10*x^10-17*q^-9*x^10-4*q^-8*x^10+11*q^-7*x^10+46*q^-6*x^10+63*q^-5*x^10+112*q^-4*x^10+108*q^-3*x^10+55*q^-2*x^10-24*q^-1*x^10-26*x^10+61*q*x^10+191*q^2*x^10+96*q^3*x^10-120*q^4*x^10-389*q^5*x^10-398*q^6*x^10-61*q^7*x^10+239*q^8*x^10+260*q^9*x^10+31*q^10*x^10-108*q^11*x^10-129*q^12*x^10-70*q^13*x^10+12*q^14*x^10+35*q^15*x^10+31*q^16*x^10+36*q^17*x^10+31*q^18*x^10+25*q^19*x^10+3*q^20*x^10-20*q^21*x^10-6*q^22*x^10-19*q^23*x^10-17*q^24*x^10+q^25*x^10+9*q^26*x^10+17*q^27*x^10+25*q^28*x^10+20*q^29*x^10+7*q^30*x^10-8*q^31*x^10+4*q^32*x^10-4*q^33*x^10-9*q^34*x^10-6*q^35*x^10+4*q^37*x^10+5*q^38*x^10+7*q^39*x^10+7*q^40*x^10+7*q^41*x^10+3*q^42*x^10-6*q^43*x^10+q^44*x^10-q^45*x^10-q^46*x^10-q^47*x^10-q^48*x^10+q^50*x^10+q^51*x^10+q^52*x^10+q^53*x^10+q^54*x^10+q^55*x^10+q^56*x^10-3*q^57*x^10-q^73*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12a_485 | [-1, 2, -3, 4, -1, -3, 4, -3, 2, -3, 4, -3] | [-1, -1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1] | -q^-1*x^3-7*q^-1*x^4+3*q^-2*x^5-28*q^-1*x^5-3*x^5+5*q^-3*x^6+21*q^-2*x^6-82*q^-1*x^6-21*x^6-7*q*x^6-q^-5*x^7-q^-4*x^7+33*q^-3*x^7+95*q^-2*x^7-187*q^-1*x^7-80*x^7-50*q*x^7-15*q^2*x^7-5*q^3*x^7-2*q^-7*x^8-12*q^-6*x^8-17*q^-5*x^8-12*q^-4*x^8+134*q^-3*x^8+340*q^-2*x^8-315*q^-1*x^8-201*x^8-193*q*x^8-102*q^2*x^8-65*q^3*x^8-20*q^4*x^8-12*q^5*x^8-q^-10*x^9-3*q^-9*x^9-17*q^-8*x^9-29*q^-7*x^9-92*q^-6*x^9-115*q^-5*x^9-95*q^-4*x^9+396*q^-3*x^9+1035*q^-2*x^9-262*q^-1*x^9-283*x^9-486*q*x^9-364*q^2*x^9-317*q^3*x^9-188*q^4*x^9-138*q^5*x^9-52*q^6*x^9-26*q^7*x^9-7*q^8*x^9-2*q^-13*x^10-2*q^-12*x^10-6*q^-11*x^10-16*q^-10*x^10-33*q^-9*x^10-117*q^-8*x^10-164*q^-7*x^10-424*q^-6*x^10-574*q^-5*x^10-556*q^-4*x^10+838*q^-3*x^10+2703*q^-2*x^10+617*q^-1*x^10+239*x^10-675*q*x^10-773*q^2*x^10-900*q^3*x^10-734*q^4*x^10-742*q^5*x^10-460*q^6*x^10-323*q^7*x^10-168*q^8*x^10-80*q^9*x^10-28*q^10*x^10-16*q^11*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12a_486 | [-1, 2, -3, 4, -1, -3, 4, -3, 4, 2, -3, 4] | [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1] | -x^3-8*x^4-2*q^-1*x^5-36*x^5-3*q*x^5-4*q^-2*x^6-16*q^-1*x^6-128*x^6-24*q*x^6-8*q^2*x^6-2*q^-4*x^7-8*q^-3*x^7-33*q^-2*x^7-89*q^-1*x^7-400*x^7-127*q*x^7-65*q^2*x^7-19*q^3*x^7-5*q^4*x^7-4*q^-6*x^8-4*q^-5*x^8-34*q^-4*x^8-73*q^-3*x^8-188*q^-2*x^8-399*q^-1*x^8-1179*x^8-544*q*x^8-345*q^2*x^8-164*q^3*x^8-80*q^4*x^8-20*q^5*x^8-12*q^6*x^8-2*q^-9*x^9-6*q^-8*x^9-8*q^-7*x^9-39*q^-6*x^9-86*q^-5*x^9-253*q^-4*x^9-439*q^-3*x^9-885*q^-2*x^9-1590*q^-1*x^9-3423*x^9-2082*q*x^9-1510*q^2*x^9-910*q^3*x^9-569*q^4*x^9-258*q^5*x^9-150*q^6*x^9-51*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^10-28*q^-9*x^10-67*q^-8*x^10-104*q^-7*x^10-350*q^-6*x^10-694*q^-5*x^10-1404*q^-4*x^10-2174*q^-3*x^10-3749*q^-2*x^10-5921*q^-1*x^10-10089*x^10-7490*q*x^10-5971*q^2*x^10-4169*q^3*x^10-2982*q^4*x^10-1778*q^5*x^10-1154*q^6*x^10-588*q^7*x^10-364*q^8*x^10-172*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_487 | [-1, -3, -4, -2, 3, -2, 3, -2, -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] | -q^-1*x^3-7*q^-1*x^4-q^-2*x^5-28*q^-1*x^5+2*x^5-3*q^-3*x^6-7*q^-2*x^6-83*q^-1*x^6+14*x^6+8*q*x^6-2*q^-5*x^7-7*q^-4*x^7-20*q^-3*x^7-24*q^-2*x^7-201*q^-1*x^7+67*x^7+55*q*x^7+12*q^2*x^7-4*q^-7*x^8-5*q^-6*x^8-25*q^-5*x^8-46*q^-4*x^8-68*q^-3*x^8-50*q^-2*x^8-394*q^-1*x^8+251*x^8+245*q*x^8+78*q^2*x^8-10*q^4*x^8-2*q^-10*x^9-6*q^-9*x^9-9*q^-8*x^9-33*q^-7*x^9-48*q^-6*x^9-133*q^-5*x^9-156*q^-4*x^9-133*q^-3*x^9-584*q^-1*x^9+832*x^9+838*q*x^9+314*q^2*x^9-35*q^3*x^9-114*q^4*x^9-33*q^5*x^9-20*q^6*x^9-4*q^-13*x^10-4*q^-12*x^10-12*q^-11*x^10-26*q^-10*x^10-52*q^-9*x^10-63*q^-8*x^10-164*q^-7*x^10-238*q^-6*x^10-420*q^-5*x^10-290*q^-4*x^10+21*q^-3*x^10+511*q^-2*x^10-363*q^-1*x^10+2437*x^10+2401*q*x^10+891*q^2*x^10-323*q^3*x^10-736*q^4*x^10-387*q^5*x^10-172*q^6*x^10-40*q^7*x^10-21*q^8*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_487 | [-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^2*x^2-q^2*x^3+q^4*x^3-q*x^4-q^2*x^4-q^3*x^4+q^4*x^4-q^5*x^4-q^7*x^4-x^5-q*x^5-q^3*x^5+2*q^4*x^5+q^6*x^5+q^8*x^5+q^9*x^5+q^11*x^5-q^-2*x^6-q^-1*x^6-x^6-2*q*x^6-q^2*x^6-q^3*x^6+2*q^4*x^6-q^5*x^6-q^6*x^6-q^7*x^6-q^8*x^6-3*q^10*x^6-2*q^12*x^6-q^13*x^6-q^14*x^6-q^16*x^6-q^-4*x^7-q^-3*x^7-2*q^-2*x^7-x^7-3*q*x^7+2*q^3*x^7+3*q^4*x^7-q^5*x^7+q^6*x^7+2*q^7*x^7+q^8*x^7+q^9*x^7+4*q^11*x^7+q^12*x^7+2*q^13*x^7+2*q^14*x^7+3*q^15*x^7+2*q^16*x^7+2*q^17*x^7+2*q^18*x^7+q^19*x^7+q^20*x^7+q^22*x^7-q^-7*x^8-q^-6*x^8-q^-5*x^8-2*q^-4*x^8-3*q^-3*x^8-2*q^-2*x^8-q^-1*x^8-2*x^8-5*q*x^8+2*q^2*x^8+q^3*x^8-5*q^5*x^8+q^6*x^8-4*q^8*x^8-5*q^9*x^8-2*q^10*x^8-4*q^12*x^8-5*q^13*x^8-3*q^14*x^8-2*q^15*x^8-3*q^16*x^8-6*q^17*x^8-3*q^18*x^8-5*q^19*x^8-3*q^20*x^8-5*q^21*x^8-2*q^22*x^8-4*q^23*x^8-2*q^24*x^8-2*q^25*x^8-q^26*x^8-q^27*x^8-q^29*x^8-q^-10*x^9-q^-9*x^9-2*q^-8*x^9-2*q^-7*x^9-q^-6*x^9-2*q^-5*x^9-4*q^-4*x^9-4*q^-3*x^9-2*q^-2*x^9+x^9-q*x^9+2*q^2*x^9+2*q^4*x^9+6*q^6*x^9+2*q^7*x^9-3*q^8*x^9+6*q^10*x^9+8*q^11*x^9+q^12*x^9+2*q^13*x^9+8*q^14*x^9+9*q^15*x^9+7*q^16*x^9+3*q^17*x^9+7*q^18*x^9+8*q^19*x^9+9*q^20*x^9+6*q^21*x^9+8*q^22*x^9+7*q^23*x^9+8*q^24*x^9+8*q^25*x^9+7*q^26*x^9+6*q^27*x^9+6*q^28*x^9+4*q^29*x^9+4*q^30*x^9+4*q^31*x^9+2*q^32*x^9+2*q^33*x^9+q^34*x^9+q^35*x^9+q^37*x^9-q^-14*x^10-q^-13*x^10-q^-12*x^10-2*q^-11*x^10-3*q^-10*x^10-4*q^-9*x^10-3*q^-8*x^10-3*q^-7*x^10-3*q^-6*x^10-5*q^-5*x^10-7*q^-4*x^10-6*q^-3*x^10-q^-2*x^10+2*q^-1*x^10+2*x^10-7*q*x^10-6*q^2*x^10-3*q^3*x^10+3*q^4*x^10-4*q^6*x^10-11*q^7*x^10-12*q^8*x^10-4*q^9*x^10+q^10*x^10-2*q^11*x^10-15*q^12*x^10-11*q^13*x^10-5*q^14*x^10-10*q^16*x^10-16*q^17*x^10-12*q^18*x^10-8*q^19*x^10-12*q^20*x^10-16*q^21*x^10-16*q^22*x^10-13*q^23*x^10-15*q^24*x^10-12*q^25*x^10-16*q^26*x^10-15*q^27*x^10-17*q^28*x^10-14*q^29*x^10-14*q^30*x^10-12*q^31*x^10-15*q^32*x^10-10*q^33*x^10-12*q^34*x^10-8*q^35*x^10-9*q^36*x^10-5*q^37*x^10-6*q^38*x^10-4*q^39*x^10-4*q^40*x^10-2*q^41*x^10-2*q^42*x^10-q^43*x^10-q^44*x^10-q^46*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12n_488 | [1, -3, 2, 3, 3, 2, 2, 1, -3, -3, -2, -3, -2] | [1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1] | -q^-1*x^2+q^-3*x^3-q^-1*x^3-q^-6*x^4-q^-4*x^4+q^-3*x^4-q^-1*x^4+q^-10*x^5+q^-8*x^5+q^-7*x^5-q^-6*x^5+q^-5*x^5-q^-4*x^5+2*q^-3*x^5-q^-1*x^5-q^-15*x^6-q^-13*x^6-q^-12*x^6-q^-11*x^6+q^-10*x^6-2*q^-9*x^6+q^-8*x^6-q^-6*x^6+q^-5*x^6-q^-4*x^6+2*q^-3*x^6+q^-2*x^6-q^-1*x^6+q^-21*x^7+q^-19*x^7+q^-18*x^7+q^-17*x^7+q^-16*x^7+2*q^-14*x^7+q^-11*x^7+2*q^-10*x^7-2*q^-9*x^7+2*q^-8*x^7+q^-7*x^7-2*q^-6*x^7+q^-5*x^7-q^-4*x^7+2*q^-3*x^7+q^-2*x^7-q^-28*x^8-q^-26*x^8-q^-25*x^8-q^-24*x^8-q^-23*x^8-2*q^-22*x^8-3*q^-20*x^8-q^-18*x^8-q^-17*x^8-3*q^-16*x^8-q^-15*x^8+q^-14*x^8-2*q^-13*x^8-q^-12*x^8+2*q^-11*x^8+2*q^-10*x^8-3*q^-9*x^8+2*q^-8*x^8+2*q^-7*x^8-2*q^-6*x^8-q^-4*x^8+2*q^-3*x^8+q^-2*x^8+x^8+q^-36*x^9+q^-34*x^9+q^-33*x^9+q^-32*x^9+q^-31*x^9+2*q^-30*x^9+2*q^-29*x^9+q^-28*x^9+3*q^-27*x^9+q^-26*x^9+q^-25*x^9+3*q^-24*x^9+3*q^-23*x^9+2*q^-22*x^9+3*q^-21*x^9-q^-20*x^9+4*q^-19*x^9+2*q^-18*x^9-2*q^-17*x^9-3*q^-16*x^9+q^-15*x^9+2*q^-14*x^9-2*q^-13*x^9-2*q^-12*x^9+2*q^-11*x^9+3*q^-10*x^9-3*q^-9*x^9+q^-8*x^9+2*q^-7*x^9-q^-6*x^9-3*q^-4*x^9+2*q^-3*x^9+q^-2*x^9+x^9+q*x^9-q^-45*x^10-q^-43*x^10-q^-42*x^10-q^-41*x^10-q^-40*x^10-2*q^-39*x^10-2*q^-38*x^10-3*q^-37*x^10-q^-36*x^10-4*q^-35*x^10-q^-34*x^10-3*q^-33*x^10-3*q^-32*x^10-5*q^-31*x^10-3*q^-30*x^10-4*q^-29*x^10-3*q^-28*x^10-2*q^-27*x^10-5*q^-26*x^10-6*q^-25*x^10+2*q^-24*x^10+2*q^-23*x^10-q^-22*x^10-2*q^-21*x^10-2*q^-20*x^10+4*q^-19*x^10+2*q^-18*x^10-4*q^-17*x^10-6*q^-16*x^10+4*q^-14*x^10-2*q^-13*x^10-3*q^-12*x^10+4*q^-10*x^10-2*q^-9*x^10+q^-8*x^10+q^-7*x^10-q^-6*x^10+q^-5*x^10-3*q^-4*x^10+x^10+q*x^10+q^2*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12a_488 | [-1, -3, -4, -2, 3, 3, 3, -2, 3, -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] | -q*x^3-6*q*x^4-3*x^5-21*q*x^5+4*q^2*x^5-6*q^-1*x^6-18*x^6-52*q*x^6+24*q^2*x^6+7*q^3*x^6-3*q^-3*x^7-9*q^-2*x^7-39*q^-1*x^7-54*x^7-90*q*x^7+96*q^2*x^7+36*q^3*x^7+7*q^4*x^7-6*q^-5*x^8-6*q^-4*x^8-30*q^-3*x^8-62*q^-2*x^8-124*q^-1*x^8-82*x^8-67*q*x^8+301*q^2*x^8+124*q^3*x^8+24*q^4*x^8+5*q^5*x^8-10*q^6*x^8-3*q^-8*x^9-9*q^-7*x^9-12*q^-6*x^9-45*q^-5*x^9-49*q^-4*x^9-147*q^-3*x^9-190*q^-2*x^9-199*q^-1*x^9+78*x^9+213*q*x^9+798*q^2*x^9+309*q^3*x^9+32*q^4*x^9-15*q^5*x^9-65*q^6*x^9-24*q^7*x^9-16*q^8*x^9-6*q^-11*x^10-6*q^-10*x^10-18*q^-9*x^10-36*q^-8*x^10-68*q^-7*x^10-80*q^-6*x^10-186*q^-5*x^10-200*q^-4*x^10-376*q^-3*x^10-206*q^-2*x^10+153*q^-1*x^10+943*x^10+1147*q*x^10+1754*q^2*x^10+531*q^3*x^10-149*q^4*x^10-229*q^5*x^10-347*q^6*x^10-182*q^7*x^10-128*q^8*x^10-25*q^9*x^10-10*q^10*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_491 | [1, -3, -2, -3, -2, 1, -4, 3, -2, -4, 3, 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] | -x^2-6*x^3-5*q^-1*x^4-21*x^4-2*q*x^4+2*q^3*x^4-q^-3*x^5-15*q^-2*x^5-29*q^-1*x^5-61*x^5-12*q*x^5-6*q^2*x^5+12*q^3*x^5+5*q^4*x^5-3*q^-5*x^6-15*q^-4*x^6-43*q^-3*x^6-92*q^-2*x^6-119*q^-1*x^6-164*x^6-53*q*x^6-24*q^2*x^6+36*q^3*x^6+30*q^4*x^6+9*q^5*x^6-q^6*x^6-q^8*x^6-3*q^9*x^6-3*q^-8*x^7-10*q^-7*x^7-42*q^-6*x^7-76*q^-5*x^7-176*q^-4*x^7-278*q^-3*x^7-397*q^-2*x^7-406*q^-1*x^7-440*x^7-173*q*x^7-65*q^2*x^7+107*q^3*x^7+105*q^4*x^7+55*q^5*x^7+q^6*x^7-2*q^7*x^7-8*q^8*x^7-22*q^9*x^7-10*q^10*x^7-6*q^11*x^7-q^-12*x^8-8*q^-11*x^8-20*q^-10*x^8-56*q^-9*x^8-129*q^-8*x^8-236*q^-7*x^8-439*q^-6*x^8-670*q^-5*x^8-1014*q^-4*x^8-1252*q^-3*x^8-1409*q^-2*x^8-1275*q^-1*x^8-1129*x^8-465*q*x^8-96*q^2*x^8+328*q^3*x^8+333*q^4*x^8+191*q^5*x^8+25*q^6*x^8-31*q^7*x^8-75*q^8*x^8-115*q^9*x^8-88*q^10*x^8-61*q^11*x^8-17*q^12*x^8-7*q^13*x^8+2*q^14*x^8+2*q^16*x^8+2*q^17*x^8+4*q^18*x^8-3*q^-16*x^9-9*q^-15*x^9-30*q^-14*x^9-61*q^-13*x^9-149*q^-12*x^9-266*q^-11*x^9-509*q^-10*x^9-847*q^-9*x^9-1382*q^-8*x^9-1986*q^-7*x^9-2862*q^-6*x^9-3601*q^-5*x^9-4392*q^-4*x^9-4592*q^-3*x^9-4472*q^-2*x^9-3606*q^-1*x^9-2694*x^9-941*q*x^9+119*q^2*x^9+1055*q^3*x^9+986*q^4*x^9+558*q^5*x^9+18*q^6*x^9-251*q^7*x^9-492*q^8*x^9-623*q^9*x^9-560*q^10*x^9-417*q^11*x^9-198*q^12*x^9-79*q^13*x^9-7*q^14*x^9-q^15*x^9+21*q^16*x^9+24*q^17*x^9+37*q^18*x^9+20*q^19*x^9+12*q^20*x^9+7*q^21*x^9-3*q^-21*x^10-9*q^-20*x^10-28*q^-19*x^10-63*q^-18*x^10-128*q^-17*x^10-257*q^-16*x^10-478*q^-15*x^10-822*q^-14*x^10-1358*q^-13*x^10-2220*q^-12*x^10-3315*q^-11*x^10-4910*q^-10*x^10-6788*q^-9*x^10-9074*q^-8*x^10-11319*q^-7*x^10-13684*q^-6*x^10-15078*q^-5*x^10-15781*q^-4*x^10-14713*q^-3*x^10-12639*q^-2*x^10-9041*q^-1*x^10-5466*x^10-983*q*x^10+1658*q^2*x^10+3328*q^3*x^10+2719*q^4*x^10+1213*q^5*x^10-567*q^6*x^10-1756*q^7*x^10-2718*q^8*x^10-3225*q^9*x^10-3035*q^10*x^10-2404*q^11*x^10-1465*q^12*x^10-717*q^13*x^10-211*q^14*x^10-34*q^15*x^10+122*q^16*x^10+180*q^17*x^10+251*q^18*x^10+204*q^19*x^10+157*q^20*x^10+98*q^21*x^10+42*q^22*x^10+14*q^23*x^10+6*q^24*x^10-3*q^25*x^10-q^26*x^10-3*q^27*x^10-4*q^28*x^10-3*q^29*x^10-5*q^30*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12a_493 | [-1, 2, 3, -1, 3, -4, 3, 3, 3, -2, 3, -2, -4, -3] | [-1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1] | -q*x^3-6*q*x^4-3*x^5-21*q*x^5+4*q^2*x^5-6*q^-1*x^6-18*x^6-52*q*x^6+24*q^2*x^6+8*q^3*x^6-3*q^-3*x^7-9*q^-2*x^7-39*q^-1*x^7-54*x^7-90*q*x^7+98*q^2*x^7+42*q^3*x^7+10*q^4*x^7-6*q^-5*x^8-6*q^-4*x^8-30*q^-3*x^8-62*q^-2*x^8-124*q^-1*x^8-82*x^8-62*q*x^8+316*q^2*x^8+152*q^3*x^8+40*q^4*x^8+7*q^5*x^8-12*q^6*x^8-3*q^-8*x^9-9*q^-7*x^9-12*q^-6*x^9-45*q^-5*x^9-49*q^-4*x^9-147*q^-3*x^9-190*q^-2*x^9-197*q^-1*x^9+90*x^9+253*q*x^9+877*q^2*x^9+409*q^3*x^9+86*q^4*x^9-15*q^5*x^9-82*q^6*x^9-36*q^7*x^9-21*q^8*x^9-6*q^-11*x^10-6*q^-10*x^10-18*q^-9*x^10-36*q^-8*x^10-68*q^-7*x^10-80*q^-6*x^10-186*q^-5*x^10-200*q^-4*x^10-372*q^-3*x^10-196*q^-2*x^10+192*q^-1*x^10+1048*x^10+1362*q*x^10+2052*q^2*x^10+817*q^3*x^10-41*q^4*x^10-293*q^5*x^10-467*q^6*x^10-277*q^7*x^10-183*q^8*x^10-44*q^9*x^10-16*q^10*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_494 | [-1, 2, 3, -4, -1, 2, 3, 2, -4, 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] | -q^2*x^3-4*q^2*x^4-2*q*x^5-10*q^2*x^5-4*x^6-8*q*x^6-20*q^2*x^6-2*q^4*x^6-2*q^-2*x^7-6*q^-1*x^7-17*x^7-20*q*x^7-35*q^2*x^7-4*q^3*x^7-8*q^4*x^7-q^5*x^7-4*q^-4*x^8-4*q^-3*x^8-16*q^-2*x^8-28*q^-1*x^8-44*x^8-40*q*x^8-65*q^2*x^8-20*q^3*x^8-24*q^4*x^8-4*q^5*x^8-2*q^6*x^8-2*q^-7*x^9-6*q^-6*x^9-8*q^-5*x^9-22*q^-4*x^9-28*q^-3*x^9-62*q^-2*x^9-76*q^-1*x^9-94*x^9-90*q*x^9-132*q^2*x^9-66*q^3*x^9-58*q^4*x^9-14*q^5*x^9-9*q^6*x^9-2*q^7*x^9-2*q^8*x^9-4*q^-10*x^10-4*q^-9*x^10-12*q^-8*x^10-20*q^-7*x^10-36*q^-6*x^10-44*q^-5*x^10-84*q^-4*x^10-108*q^-3*x^10-168*q^-2*x^10-178*q^-1*x^10-216*x^10-224*q*x^10-284*q^2*x^10-168*q^3*x^10-128*q^4*x^10-44*q^5*x^10-36*q^6*x^10-14*q^7*x^10-6*q^8*x^10-2*q^10*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_495 | [1, -2, 3, -4, -2, 1, 1, 2, -3, -3, -3, -2, 3, -4] | [-1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, 1, -1, 1] | -q^-1*x^2-2*q^-1*x^3+q^-4*x^4+2*q^-2*x^4-3*q^-1*x^4-2*q^-5*x^5+2*q^-4*x^5+q^-3*x^5+4*q^-2*x^5-q^-10*x^6-3*q^-6*x^6-6*q^-5*x^6+3*q^-4*x^6+3*q^-2*x^6+4*q^-1*x^6+7*x^6+2*q^-12*x^7+2*q^-11*x^7-2*q^-10*x^7+4*q^-8*x^7+3*q^-7*x^7-12*q^-6*x^7-16*q^-5*x^7+3*q^-4*x^7-4*q^-3*x^7-8*q^-2*x^7+2*q^-1*x^7+16*x^7+10*q*x^7+q^-19*x^8-q^-14*x^8+7*q^-12*x^8+6*q^-11*x^8-5*q^-10*x^8+5*q^-9*x^8+23*q^-8*x^8+22*q^-7*x^8-19*q^-6*x^8-34*q^-5*x^8-2*q^-4*x^8-7*q^-3*x^8-28*q^-2*x^8-23*q^-1*x^8+7*x^8+23*q*x^8+13*q^2*x^8-2*q^-22*x^9-2*q^-21*x^9-2*q^-20*x^9+2*q^-19*x^9-4*q^-16*x^9-10*q^-15*x^9-7*q^-14*x^9+3*q^-13*x^9+18*q^-12*x^9+q^-11*x^9-24*q^-10*x^9+16*q^-9*x^9+74*q^-8*x^9+85*q^-7*x^9+3*q^-6*x^9-50*q^-5*x^9-8*q^-4*x^9-2*q^-3*x^9-33*q^-2*x^9-59*q^-1*x^9-44*x^9-2*q*x^9+16*q^2*x^9+16*q^3*x^9-q^-31*x^10+q^-25*x^10+4*q^-24*x^10+q^-23*x^10-4*q^-22*x^10-7*q^-21*x^10-6*q^-20*x^10+7*q^-19*x^10+9*q^-18*x^10-4*q^-17*x^10-30*q^-16*x^10-57*q^-15*x^10-34*q^-14*x^10+11*q^-13*x^10+26*q^-12*x^10-41*q^-11*x^10-107*q^-10*x^10-15*q^-9*x^10+148*q^-8*x^10+229*q^-7*x^10+113*q^-6*x^10-17*q^-5*x^10-6*q^-4*x^10+22*q^-3*x^10+13*q^-2*x^10-33*q^-1*x^10-89*x^10-82*q*x^10-49*q^2*x^10-2*q^3*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_496 | [1, -2, 3, 4, 1, 2, -3, 2, 4, 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] | -q^2*x^2-4*x^3-6*q^2*x^3-9*q^-4*x^4-6*q^-3*x^4-q^-2*x^4-16*q^-1*x^4-24*x^4-3*q*x^4-21*q^2*x^4-2*q^3*x^4-16*q^-10*x^5-16*q^-9*x^5-20*q^-8*x^5-8*q^-7*x^5-34*q^-6*x^5-58*q^-5*x^5-88*q^-4*x^5-50*q^-3*x^5-58*q^-2*x^5-100*q^-1*x^5-104*x^5-26*q*x^5-65*q^2*x^5-12*q^3*x^5-4*q^4*x^5-25*q^-18*x^6-30*q^-17*x^6-49*q^-16*x^6-54*q^-15*x^6-44*q^-14*x^6-78*q^-13*x^6-121*q^-12*x^6-198*q^-11*x^6-281*q^-10*x^6-263*q^-9*x^6-280*q^-8*x^6-282*q^-7*x^6-445*q^-6*x^6-525*q^-5*x^6-522*q^-4*x^6-392*q^-3*x^6-393*q^-2*x^6-462*q^-1*x^6-394*x^6-159*q*x^6-198*q^2*x^6-63*q^3*x^6-29*q^4*x^6-6*q^5*x^6-2*q^6*x^6-36*q^-28*x^7-48*q^-27*x^7-88*q^-26*x^7-120*q^-25*x^7-156*q^-24*x^7-144*q^-23*x^7-218*q^-22*x^7-274*q^-21*x^7-412*q^-20*x^7-596*q^-19*x^7-848*q^-18*x^7-938*q^-17*x^7-1104*q^-16*x^7-1154*q^-15*x^7-1324*q^-14*x^7-1664*q^-13*x^7-2116*q^-12*x^7-2436*q^-11*x^7-2682*q^-10*x^7-2494*q^-9*x^7-2565*q^-8*x^7-2672*q^-7*x^7-3126*q^-6*x^7-3044*q^-5*x^7-2762*q^-4*x^7-2182*q^-3*x^7-1985*q^-2*x^7-1875*q^-1*x^7-1490*x^7-772*q*x^7-681*q^2*x^7-298*q^3*x^7-160*q^4*x^7-58*q^5*x^7-28*q^6*x^7-4*q^7*x^7-4*q^8*x^7-49*q^-40*x^8-70*q^-39*x^8-137*q^-38*x^8-206*q^-37*x^8-308*q^-36*x^8-380*q^-35*x^8-445*q^-34*x^8-564*q^-33*x^8-709*q^-32*x^8-928*q^-31*x^8-1253*q^-30*x^8-1748*q^-29*x^8-2357*q^-28*x^8-2887*q^-27*x^8-3512*q^-26*x^8-4024*q^-25*x^8-4589*q^-24*x^8-5152*q^-23*x^8-6270*q^-22*x^8-7476*q^-21*x^8-9062*q^-20*x^8-10610*q^-19*x^8-11934*q^-18*x^8-12618*q^-17*x^8-13386*q^-16*x^8-14123*q^-15*x^8-15412*q^-14*x^8-17108*q^-13*x^8-18615*q^-12*x^8-19041*q^-11*x^8-18798*q^-10*x^8-17529*q^-9*x^8-17186*q^-8*x^8-16874*q^-7*x^8-16811*q^-6*x^8-15224*q^-5*x^8-13075*q^-4*x^8-10484*q^-3*x^8-8849*q^-2*x^8-7496*q^-1*x^8-5713*x^8-3492*q*x^8-2601*q^2*x^8-1408*q^3*x^8-820*q^4*x^8-397*q^5*x^8-206*q^6*x^8-72*q^7*x^8-46*q^8*x^8-12*q^9*x^8-6*q^10*x^8-2*q^11*x^8-64*q^-54*x^9-96*q^-53*x^9-196*q^-52*x^9-312*q^-51*x^9-500*q^-50*x^9-688*q^-49*x^9-944*q^-48*x^9-1112*q^-47*x^9-1462*q^-46*x^9-1770*q^-45*x^9-2248*q^-44*x^9-2812*q^-43*x^9-3720*q^-42*x^9-4844*q^-41*x^9-6434*q^-40*x^9-7988*q^-39*x^9-10002*q^-38*x^9-11952*q^-37*x^9-14162*q^-36*x^9-16214*q^-35*x^9-18808*q^-34*x^9-21878*q^-33*x^9-25898*q^-32*x^9-30486*q^-31*x^9-36274*q^-30*x^9-42262*q^-29*x^9-48538*q^-28*x^9-53868*q^-27*x^9-59407*q^-26*x^9-64306*q^-25*x^9-70256*q^-24*x^9-76602*q^-23*x^9-85272*q^-22*x^9-93500*q^-21*x^9-101827*q^-20*x^9-107804*q^-19*x^9-111904*q^-18*x^9-113294*q^-17*x^9-115311*q^-16*x^9-117209*q^-15*x^9-120602*q^-14*x^9-122833*q^-13*x^9-122690*q^-12*x^9-117586*q^-11*x^9-110578*q^-10*x^9-101455*q^-9*x^9-94959*q^-8*x^9-87803*q^-7*x^9-80714*q^-6*x^9-69906*q^-5*x^9-58465*q^-4*x^9-46742*q^-3*x^9-37949*q^-2*x^9-30301*q^-1*x^9-22852*x^9-15267*q*x^9-10850*q^2*x^9-6624*q^3*x^9-4140*q^4*x^9-2324*q^5*x^9-1336*q^6*x^9-646*q^7*x^9-381*q^8*x^9-160*q^9*x^9-90*q^10*x^9-40*q^11*x^9-20*q^12*x^9-4*q^13*x^9-4*q^14*x^9-81*q^-70*x^10-126*q^-69*x^10-265*q^-68*x^10-438*q^-67*x^10-732*q^-66*x^10-1068*q^-65*x^10-1573*q^-64*x^10-2074*q^-63*x^10-2673*q^-62*x^10-3422*q^-61*x^10-4289*q^-60*x^10-5292*q^-59*x^10-6597*q^-58*x^10-8234*q^-57*x^10-10381*q^-56*x^10-13290*q^-55*x^10-16954*q^-54*x^10-21201*q^-53*x^10-26461*q^-52*x^10-32356*q^-51*x^10-39025*q^-50*x^10-46166*q^-49*x^10-54117*q^-48*x^10-62623*q^-47*x^10-73126*q^-46*x^10-84889*q^-45*x^10-99241*q^-44*x^10-115997*q^-43*x^10-135936*q^-42*x^10-157934*q^-41*x^10-182234*q^-40*x^10-206789*q^-39*x^10-232670*q^-38*x^10-258701*q^-37*x^10-285957*q^-36*x^10-314653*q^-35*x^10-347461*q^-34*x^10-384066*q^-33*x^10-424917*q^-32*x^10-467781*q^-31*x^10-511911*q^-30*x^10-552714*q^-29*x^10-590375*q^-28*x^10-622035*q^-27*x^10-652432*q^-26*x^10-681255*q^-25*x^10-713123*q^-24*x^10-744995*q^-23*x^10-778642*q^-22*x^10-804162*q^-21*x^10-820864*q^-20*x^10-823956*q^-19*x^10-816930*q^-18*x^10-801616*q^-17*x^10-786913*q^-16*x^10-770425*q^-15*x^10-752850*q^-14*x^10-725968*q^-13*x^10-687594*q^-12*x^10-635105*q^-11*x^10-578881*q^-10*x^10-520319*q^-9*x^10-468481*q^-8*x^10-416403*q^-7*x^10-365182*q^-6*x^10-308607*q^-5*x^10-253974*q^-4*x^10-202798*q^-3*x^10-161290*q^-2*x^10-125923*q^-1*x^10-94884*x^10-67007*q*x^10-47603*q^2*x^10-31427*q^3*x^10-20650*q^4*x^10-12856*q^5*x^10-7961*q^6*x^10-4549*q^7*x^10-2749*q^8*x^10-1466*q^9*x^10-855*q^10*x^10-462*q^11*x^10-258*q^12*x^10-112*q^13*x^10-74*q^14*x^10-30*q^15*x^10-12*q^16*x^10-6*q^17*x^10-2*q^18*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_497 | [1, 1, 4, 3, -2, 1, 4, 3, -2, -4, -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] | -x^2-8*x^3-5*q^-1*x^4-36*x^4-6*q*x^4-12*q^-2*x^5-40*q^-1*x^5-136*x^5-48*q*x^5-22*q^2*x^5-7*q^-4*x^6-24*q^-3*x^6-104*q^-2*x^6-230*q^-1*x^6-488*x^6-279*q*x^6-178*q^2*x^6-73*q^3*x^6-19*q^4*x^6-16*q^-6*x^7-24*q^-5*x^7-100*q^-4*x^7-252*q^-3*x^7-650*q^-2*x^7-1128*q^-1*x^7-1820*x^7-1374*q*x^7-1070*q^2*x^7-650*q^3*x^7-362*q^4*x^7-122*q^5*x^7-54*q^6*x^7-9*q^-9*x^8-32*q^-8*x^8-59*q^-7*x^8-188*q^-6*x^8-344*q^-5*x^8-874*q^-4*x^8-1805*q^-3*x^8-3479*q^-2*x^8-5243*q^-1*x^8-7140*x^8-6413*q*x^8-5564*q^2*x^8-4179*q^3*x^8-2926*q^4*x^8-1708*q^5*x^8-931*q^6*x^8-384*q^7*x^8-159*q^8*x^8-37*q^9*x^8-20*q^-12*x^9-32*q^-11*x^9-92*q^-10*x^9-200*q^-9*x^9-444*q^-8*x^9-788*q^-7*x^9-1692*q^-6*x^9-3064*q^-5*x^9-6156*q^-4*x^9-10752*q^-3*x^9-17390*q^-2*x^9-23794*q^-1*x^9-29627*x^9-29188*q*x^9-27322*q^2*x^9-23110*q^3*x^9-18558*q^4*x^9-13358*q^5*x^9-9144*q^6*x^9-5388*q^7*x^9-3112*q^8*x^9-1504*q^9*x^9-686*q^10*x^9-234*q^11*x^9-96*q^12*x^9-11*q^-16*x^10-40*q^-15*x^10-77*q^-14*x^10-156*q^-13*x^10-394*q^-12*x^10-666*q^-11*x^10-1301*q^-10*x^10-2316*q^-9*x^10-4225*q^-8*x^10-7177*q^-7*x^10-13022*q^-6*x^10-22093*q^-5*x^10-37618*q^-4*x^10-58298*q^-3*x^10-83949*q^-2*x^10-107920*q^-1*x^10-127994*x^10-132654*q*x^10-130257*q^2*x^10-119158*q^3*x^10-103957*q^4*x^10-84682*q^5*x^10-65771*q^6*x^10-47122*q^7*x^10-32242*q^8*x^10-20448*q^9*x^10-12322*q^10*x^10-6777*q^11*x^10-3606*q^12*x^10-1618*q^13*x^10-699*q^14*x^10-273*q^15*x^10-61*q^16*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12a_497 | [1, -2, 3, -4, -2, 3, -4, 3, -2, 1, 1, -2] | [-1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1] | -x^3-6*x^4-21*x^5+2*q*x^5-2*q^-2*x^6-56*x^6+12*q*x^6+6*q^2*x^6-q^-4*x^7-7*q^-3*x^7-11*q^-2*x^7-126*x^7+44*q*x^7+35*q^2*x^7+10*q^3*x^7-2*q^-6*x^8-2*q^-5*x^8-18*q^-4*x^8-40*q^-3*x^8-36*q^-2*x^8+4*q^-1*x^8-248*x^8+124*q*x^8+126*q^2*x^8+54*q^3*x^8+14*q^4*x^8-6*q^5*x^8-q^-9*x^9-3*q^-8*x^9-4*q^-7*x^9-11*q^-6*x^9-28*q^-5*x^9-94*q^-4*x^9-133*q^-3*x^9-75*q^-2*x^9+36*q^-1*x^9-428*x^9+306*q*x^9+349*q^2*x^9+184*q^3*x^9+64*q^4*x^9-19*q^5*x^9-17*q^6*x^9-12*q^7*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^10-18*q^-7*x^10-56*q^-6*x^10-146*q^-5*x^10-306*q^-4*x^10-306*q^-3*x^10-66*q^-2*x^10+200*q^-1*x^10-616*x^10+698*q*x^10+834*q^2*x^10+480*q^3*x^10+186*q^4*x^10-76*q^5*x^10-84*q^6*x^10-108*q^7*x^10-32*q^8*x^10-14*q^9*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12a_498 | [-1, 2, -1, 2, -3, 2, -3, 4, 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] | -q*x^3-6*q*x^4-21*q*x^5+2*q^2*x^5+2*q^-1*x^6-56*q*x^6+12*q^2*x^6+2*q^3*x^6-q^-3*x^7+5*q^-2*x^7+13*q^-1*x^7-126*q*x^7+42*q^2*x^7+11*q^3*x^7-2*q^4*x^7-2*q^-5*x^8-6*q^-4*x^8+2*q^-3*x^8+36*q^-2*x^8+48*q^-1*x^8-4*x^8-254*q*x^8+112*q^2*x^8+34*q^3*x^8-14*q^4*x^8-6*q^5*x^8-2*q^6*x^8-q^-8*x^9-3*q^-7*x^9-13*q^-6*x^9-29*q^-5*x^9-25*q^-4*x^9+46*q^-3*x^9+143*q^-2*x^9+123*q^-1*x^9-32*x^9-478*q*x^9+248*q^2*x^9+79*q^3*x^9-60*q^4*x^9-34*q^5*x^9-22*q^6*x^9+q^7*x^9-3*q^8*x^9-2*q^-11*x^10-2*q^-10*x^10-6*q^-9*x^10-24*q^-8*x^10-52*q^-7*x^10-112*q^-6*x^10-132*q^-5*x^10-12*q^-4*x^10+238*q^-3*x^10+404*q^-2*x^10+228*q^-1*x^10-146*x^10-864*q*x^10+488*q^2*x^10+150*q^3*x^10-186*q^4*x^10-124*q^5*x^10-86*q^6*x^10-6*q^7*x^10-14*q^8*x^10-4*q^9*x^10-2*q^10*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12a_499 | [-1, 2, -3, 4, 4, -3, 2, -3, 4, -1, -1, 2] | [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1] | -x^3-6*x^4+2*q^-1*x^5-21*x^5+2*q*x^5+6*q^-2*x^6+12*q^-1*x^6-56*x^6+12*q*x^6+6*q^2*x^6+10*q^-3*x^7+35*q^-2*x^7+42*q^-1*x^7-130*x^7+42*q*x^7+35*q^2*x^7+10*q^3*x^7-6*q^-5*x^8+14*q^-4*x^8+54*q^-3*x^8+120*q^-2*x^8+100*q^-1*x^8-284*x^8+100*q*x^8+120*q^2*x^8+54*q^3*x^8+14*q^4*x^8-6*q^5*x^8-12*q^-7*x^9-17*q^-6*x^9-19*q^-5*x^9+66*q^-4*x^9+174*q^-3*x^9+295*q^-2*x^9+160*q^-1*x^9-630*x^9+160*q*x^9+295*q^2*x^9+174*q^3*x^9+66*q^4*x^9-19*q^5*x^9-17*q^6*x^9-12*q^7*x^9-14*q^-9*x^10-32*q^-8*x^10-108*q^-7*x^10-78*q^-6*x^10-62*q^-5*x^10+198*q^-4*x^10+414*q^-3*x^10+560*q^-2*x^10+80*q^-1*x^10-1448*x^10+80*q*x^10+560*q^2*x^10+414*q^3*x^10+198*q^4*x^10-62*q^5*x^10-78*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_499 | [1, -4, 3, -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^3-10*x^4-2*q*x^4+2*q^3*x^4+q^-2*x^5-22*x^5-8*q*x^5-3*q^2*x^5+8*q^3*x^5+q^4*x^5+3*q^-3*x^6+4*q^-2*x^6-2*q^-1*x^6-43*x^6-25*q*x^6-14*q^2*x^6+16*q^3*x^6+5*q^4*x^6+q^5*x^6+2*q^6*x^6-q^8*x^6-3*q^9*x^6+6*q^-4*x^7+12*q^-3*x^7+9*q^-2*x^7-6*q^-1*x^7-85*x^7-65*q*x^7-45*q^2*x^7+22*q^3*x^7+7*q^4*x^7+8*q^5*x^7+5*q^6*x^7+3*q^7*x^7-5*q^8*x^7-14*q^9*x^7-2*q^10*x^7-q^-7*x^8+10*q^-5*x^8+25*q^-4*x^8+32*q^-3*x^8+22*q^-2*x^8-22*q^-1*x^8-168*x^8-153*q*x^8-117*q^2*x^8+6*q^3*x^8-3*q^4*x^8+12*q^5*x^8+19*q^6*x^8+10*q^7*x^8-14*q^8*x^8-44*q^9*x^8-14*q^10*x^8+q^12*x^8-4*q^13*x^8-3*q^14*x^8+2*q^16*x^8+2*q^17*x^8+4*q^18*x^8-3*q^-9*x^9-3*q^-8*x^9-4*q^-7*x^9+16*q^-6*x^9+44*q^-5*x^9+71*q^-4*x^9+87*q^-3*x^9+43*q^-2*x^9-71*q^-1*x^9-332*x^9-332*q*x^9-282*q^2*x^9-74*q^3*x^9-69*q^4*x^9+6*q^5*x^9+41*q^6*x^9+38*q^7*x^9-44*q^8*x^9-114*q^9*x^9-66*q^10*x^9-13*q^11*x^9+4*q^12*x^9-14*q^13*x^9-19*q^14*x^9-5*q^15*x^9+10*q^16*x^9+14*q^17*x^9+21*q^18*x^9+4*q^19*x^9-q^21*x^9-6*q^-11*x^10-9*q^-10*x^10-18*q^-9*x^10-12*q^-8*x^10+14*q^-7*x^10+73*q^-6*x^10+138*q^-5*x^10+204*q^-4*x^10+205*q^-3*x^10+63*q^-2*x^10-194*q^-1*x^10-642*x^10-690*q*x^10-644*q^2*x^10-336*q^3*x^10-266*q^4*x^10-56*q^5*x^10+74*q^6*x^10+77*q^7*x^10-108*q^8*x^10-288*q^9*x^10-218*q^10*x^10-96*q^11*x^10-19*q^12*x^10-42*q^13*x^10-69*q^14*x^10-46*q^15*x^10+20*q^16*x^10+57*q^17*x^10+77*q^18*x^10+25*q^19*x^10+q^20*x^10-8*q^21*x^10-q^22*x^10+6*q^23*x^10+6*q^24*x^10+4*q^25*x^10-q^26*x^10-3*q^27*x^10-4*q^28*x^10-3*q^29*x^10-5*q^30*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12a_500 | [-1, 2, -1, 2, 2, -3, 4, -3, 4, 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] | -q*x^3-6*q*x^4-21*q*x^5+2*q^-1*x^6-56*q*x^6-2*q^3*x^6-q^-3*x^7+5*q^-2*x^7+13*q^-1*x^7+2*x^7-126*q*x^7-11*q^3*x^7-3*q^4*x^7-q^5*x^7-2*q^-5*x^8-6*q^-4*x^8+2*q^-3*x^8+36*q^-2*x^8+54*q^-1*x^8+12*x^8-248*q*x^8-36*q^3*x^8-16*q^4*x^8-6*q^5*x^8-2*q^6*x^8-2*q^7*x^8-q^-8*x^9-3*q^-7*x^9-13*q^-6*x^9-29*q^-5*x^9-25*q^-4*x^9+44*q^-3*x^9+151*q^-2*x^9+171*q^-1*x^9+54*x^9-436*q*x^9+8*q^2*x^9-89*q^3*x^9-49*q^4*x^9-18*q^5*x^9-8*q^6*x^9-15*q^7*x^9-4*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^10-24*q^-8*x^10-52*q^-7*x^10-112*q^-6*x^10-138*q^-5*x^10-30*q^-4*x^10+226*q^-3*x^10+472*q^-2*x^10+464*q^-1*x^10+192*x^10-672*q*x^10+56*q^2*x^10-170*q^3*x^10-106*q^4*x^10-28*q^5*x^10-10*q^6*x^10-52*q^7*x^10-30*q^8*x^10-24*q^9*x^10-12*q^10*x^10-6*q^11*x^10-2*q^12*x^10-2*q^13*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12a_501 | [-1, 2, -3, 4, -1, -3, 4, 2, 4, 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^3-6*q*x^4-21*q*x^5+2*q^2*x^5+2*q^-1*x^6-56*q*x^6+12*q^2*x^6+4*q^3*x^6-q^-3*x^7+5*q^-2*x^7+13*q^-1*x^7-126*q*x^7+44*q^2*x^7+23*q^3*x^7+6*q^4*x^7-2*q^-5*x^8-6*q^-4*x^8+2*q^-3*x^8+36*q^-2*x^8+48*q^-1*x^8-4*x^8-252*q*x^8+124*q^2*x^8+84*q^3*x^8+32*q^4*x^8+10*q^5*x^8-4*q^6*x^8-q^-8*x^9-3*q^-7*x^9-13*q^-6*x^9-29*q^-5*x^9-25*q^-4*x^9+46*q^-3*x^9+143*q^-2*x^9+125*q^-1*x^9-32*x^9-472*q*x^9+296*q^2*x^9+237*q^3*x^9+112*q^4*x^9+52*q^5*x^9-11*q^6*x^9-12*q^7*x^9-9*q^8*x^9-2*q^-11*x^10-2*q^-10*x^10-6*q^-9*x^10-24*q^-8*x^10-52*q^-7*x^10-112*q^-6*x^10-132*q^-5*x^10-12*q^-4*x^10+242*q^-3*x^10+414*q^-2*x^10+234*q^-1*x^10-162*x^10-868*q*x^10+610*q^2*x^10+566*q^3*x^10+306*q^4*x^10+174*q^5*x^10-22*q^6*x^10-60*q^7*x^10-84*q^8*x^10-28*q^9*x^10-12*q^10*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12a_503 | [-1, 2, -1, 2, 2, -3, 2, -3, -4, -3, 2, -3, 2, 4] | [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1] | -q*x^3-6*q*x^4-3*x^5-21*q*x^5+q^2*x^5-6*q^-1*x^6-18*x^6-56*q*x^6+6*q^2*x^6-3*q^-3*x^7-9*q^-2*x^7-39*q^-1*x^7-63*x^7-123*q*x^7+21*q^2*x^7-6*q^-5*x^8-6*q^-4*x^8-30*q^-3*x^8-66*q^-2*x^8-144*q^-1*x^8-162*x^8-234*q*x^8+56*q^2*x^8-3*q^-8*x^9-9*q^-7*x^9-12*q^-6*x^9-45*q^-5*x^9-57*q^-4*x^9-165*q^-3*x^9-259*q^-2*x^9-390*q^-1*x^9-339*x^9-399*q*x^9+126*q^2*x^9-8*q^6*x^9-6*q^-11*x^10-6*q^-10*x^10-18*q^-9*x^10-36*q^-8*x^10-72*q^-7*x^10-96*q^-6*x^10-222*q^-5*x^10-306*q^-4*x^10-600*q^-3*x^10-732*q^-2*x^10-858*q^-1*x^10-612*x^10-624*q*x^10+252*q^2*x^10-12*q^5*x^10-48*q^6*x^10-24*q^7*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_504 | [-1, 2, 3, -4, -1, -4, 3, 2, 3, -4, 3, -4] | [-1, -1, 1, 1, -1, 1, 1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1] | -x^3-5*x^4-15*x^5-q^-2*x^6-35*x^6-3*q^2*x^6-q^-4*x^7-4*q^-3*x^7-4*q^-2*x^7-70*x^7+q*x^7-15*q^2*x^7-7*q^3*x^7-2*q^-6*x^8-3*q^-5*x^8-12*q^-4*x^8-17*q^-3*x^8-10*q^-2*x^8-125*x^8+5*q*x^8-45*q^2*x^8-35*q^3*x^8-10*q^4*x^8-q^-9*x^9-3*q^-8*x^9-5*q^-7*x^9-12*q^-6*x^9-24*q^-5*x^9-46*q^-4*x^9-45*q^-3*x^9-21*q^-2*x^9-2*q^-1*x^9-207*x^9+16*q*x^9-105*q^2*x^9-106*q^3*x^9-50*q^4*x^9-13*q^5*x^9-6*q^6*x^9-2*q^-12*x^10-2*q^-11*x^10-6*q^-10*x^10-11*q^-9*x^10-20*q^-8*x^10-23*q^-7*x^10-51*q^-6*x^10-88*q^-5*x^10-122*q^-4*x^10-98*q^-3*x^10-48*q^-2*x^10-22*q^-1*x^10-329*x^10+37*q*x^10-209*q^2*x^10-249*q^3*x^10-147*q^4*x^10-63*q^5*x^10-47*q^6*x^10-21*q^7*x^10-9*q^8*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_505 | [-1, 2, -3, -4, -1, -4, -3, 2, -3, 4, -3, 4] | [1, -1, 1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1] | -q^-1*x^2-6*q^-1*x^3-q*x^3-q^-2*x^4-21*q^-1*x^4-x^4-6*q*x^4-2*q^2*x^4-q^5*x^4-q^-3*x^5-6*q^-2*x^5-55*q^-1*x^5-7*x^5-27*q*x^5-15*q^2*x^5-q^3*x^5+2*q^4*x^5-6*q^5*x^5-2*q^6*x^5-2*q^7*x^5-q^11*x^5-q^-5*x^6-6*q^-3*x^6-20*q^-2*x^6-122*q^-1*x^6-24*x^6-91*q*x^6-74*q^2*x^6-23*q^3*x^6+13*q^4*x^6-15*q^5*x^6-15*q^6*x^6-15*q^7*x^6-2*q^8*x^6-q^9*x^6+2*q^10*x^6-6*q^11*x^6-2*q^12*x^6-2*q^13*x^6-2*q^14*x^6-q^19*x^6-2*q^-7*x^7-2*q^-6*x^7-4*q^-5*x^7-2*q^-4*x^7-23*q^-3*x^7-47*q^-2*x^7-230*q^-1*x^7-61*x^7-245*q*x^7-260*q^2*x^7-138*q^3*x^7+6*q^4*x^7-22*q^5*x^7-49*q^6*x^7-77*q^7*x^7-25*q^8*x^7-4*q^9*x^7+15*q^10*x^7-15*q^11*x^7-11*q^12*x^7-15*q^13*x^7-16*q^14*x^7-5*q^15*x^7-2*q^16*x^7-q^17*x^7+2*q^18*x^7-6*q^19*x^7-2*q^20*x^7-2*q^21*x^7-2*q^22*x^7-2*q^23*x^7-q^29*x^7-q^-10*x^8-3*q^-9*x^8-5*q^-8*x^8-15*q^-7*x^8-13*q^-6*x^8-19*q^-5*x^8-17*q^-4*x^8-58*q^-3*x^8-69*q^-2*x^8-357*q^-1*x^8-95*x^8-560*q*x^8-706*q^2*x^8-507*q^3*x^8-118*q^4*x^8-84*q^5*x^8-127*q^6*x^8-289*q^7*x^8-176*q^8*x^8-47*q^9*x^8+76*q^10*x^8+9*q^11*x^8-13*q^12*x^8-67*q^13*x^8-76*q^14*x^8-46*q^15*x^8-21*q^16*x^8-6*q^17*x^8+13*q^18*x^8-13*q^19*x^8-11*q^20*x^8-11*q^21*x^8-16*q^22*x^8-19*q^23*x^8-6*q^24*x^8-5*q^25*x^8-2*q^26*x^8-q^27*x^8+2*q^28*x^8-6*q^29*x^8-2*q^30*x^8-2*q^31*x^8-2*q^32*x^8-2*q^33*x^8-2*q^34*x^8-q^41*x^8-2*q^-13*x^9-2*q^-12*x^9-6*q^-11*x^9-15*q^-10*x^9-29*q^-9*x^9-46*q^-8*x^9-79*q^-7*x^9-66*q^-6*x^9-92*q^-5*x^9-76*q^-4*x^9-86*q^-3*x^9+21*q^-2*x^9-350*q^-1*x^9+4*x^9-1038*q*x^9-1570*q^2*x^9-1318*q^3*x^9-517*q^4*x^9-313*q^5*x^9-400*q^6*x^9-905*q^7*x^9-825*q^8*x^9-436*q^9*x^9+167*q^10*x^9+222*q^11*x^9+169*q^12*x^9-120*q^13*x^9-282*q^14*x^9-253*q^15*x^9-155*q^16*x^9-42*q^17*x^9+58*q^18*x^9+22*q^19*x^9+q^20*x^9-27*q^21*x^9-61*q^22*x^9-94*q^23*x^9-55*q^24*x^9-46*q^25*x^9-25*q^26*x^9-10*q^27*x^9+11*q^28*x^9-15*q^29*x^9-9*q^30*x^9-11*q^31*x^9-12*q^32*x^9-19*q^33*x^9-20*q^34*x^9-9*q^35*x^9-6*q^36*x^9-5*q^37*x^9-2*q^38*x^9-q^39*x^9+2*q^40*x^9-6*q^41*x^9-2*q^42*x^9-2*q^43*x^9-2*q^44*x^9-2*q^45*x^9-2*q^46*x^9-2*q^47*x^9-q^55*x^9-q^-17*x^10-3*q^-16*x^10-4*q^-15*x^10-7*q^-14*x^10-21*q^-13*x^10-33*q^-12*x^10-63*q^-11*x^10-114*q^-10*x^10-183*q^-9*x^10-252*q^-8*x^10-338*q^-7*x^10-328*q^-6*x^10-379*q^-5*x^10-238*q^-4*x^10+22*q^-3*x^10+606*q^-2*x^10+295*q^-1*x^10+759*x^10-1368*q*x^10-2674*q^2*x^10-2463*q^3*x^10-951*q^4*x^10-559*q^5*x^10-937*q^6*x^10-2518*q^7*x^10-2907*q^8*x^10-2270*q^9*x^10-327*q^10*x^10+729*q^11*x^10+1128*q^12*x^10+302*q^13*x^10-571*q^14*x^10-995*q^15*x^10-851*q^16*x^10-406*q^17*x^10+147*q^18*x^10+301*q^19*x^10+297*q^20*x^10+138*q^21*x^10-92*q^22*x^10-298*q^23*x^10-281*q^24*x^10-272*q^25*x^10-177*q^26*x^10-81*q^27*x^10+32*q^28*x^10+15*q^30*x^10-14*q^31*x^10-21*q^32*x^10-75*q^33*x^10-98*q^34*x^10-77*q^35*x^10-57*q^36*x^10-52*q^37*x^10-33*q^38*x^10-14*q^39*x^10+7*q^40*x^10-17*q^41*x^10-11*q^42*x^10-9*q^43*x^10-12*q^44*x^10-15*q^45*x^10-20*q^46*x^10-23*q^47*x^10-10*q^48*x^10-9*q^49*x^10-6*q^50*x^10-5*q^51*x^10-2*q^52*x^10-q^53*x^10+2*q^54*x^10-6*q^55*x^10-2*q^56*x^10-2*q^57*x^10-2*q^58*x^10-2*q^59*x^10-2*q^60*x^10-2*q^61*x^10-2*q^62*x^10-q^71*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12a_505 | [-1, 2, -3, -1, 2, -3, -4, -3, 2, -4, 3, -4, -3, 2] | [1, -1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1] | -q^-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^6-56*q^-1*x^6+6*x^6-2*q^-5*x^7-8*q^-4*x^7-23*q^-3*x^7-21*q^-2*x^7-125*q^-1*x^7+21*x^7-8*q^2*x^7-4*q^-7*x^8-4*q^-6*x^8-22*q^-5*x^8-48*q^-4*x^8-78*q^-3*x^8-52*q^-2*x^8-246*q^-1*x^8+56*x^8-8*q*x^8-48*q^2*x^8-24*q^3*x^8-2*q^-10*x^9-6*q^-9*x^9-8*q^-8*x^9-28*q^-7*x^9-36*q^-6*x^9-110*q^-5*x^9-165*q^-4*x^9-195*q^-3*x^9-103*q^-2*x^9-441*q^-1*x^9+108*x^9-56*q*x^9-200*q^2*x^9-144*q^3*x^9-48*q^4*x^9+8*q^5*x^9-4*q^-13*x^10-4*q^-12*x^10-12*q^-11*x^10-24*q^-10*x^10-48*q^-9*x^10-54*q^-8*x^10-126*q^-7*x^10-176*q^-6*x^10-362*q^-5*x^10-420*q^-4*x^10-400*q^-3*x^10-182*q^-2*x^10-780*q^-1*x^10+112*x^10-290*q*x^10-664*q^2*x^10-576*q^3*x^10-280*q^4*x^10-32*q^5*x^10+24*q^6*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_506 | [-1, 2, 3, 2, -1, 4, -3, -2, -4, 3, -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] | -q*x^2-3*q*x^3-2*q^3*x^3-x^4-6*q*x^4-6*q^3*x^4+q^4*x^4-q^6*x^4-3*q^7*x^4-2*q^-1*x^5-3*x^5-12*q*x^5-2*q^2*x^5-8*q^3*x^5+7*q^4*x^5-3*q^5*x^5-7*q^6*x^5-9*q^7*x^5+2*q^8*x^5+2*q^9*x^5-2*q^11*x^5-2*q^12*x^5-4*q^13*x^5-q^-3*x^6-3*q^-2*x^6-7*q^-1*x^6-9*x^6-24*q*x^6-4*q^3*x^6+13*q^4*x^6-17*q^5*x^6-18*q^6*x^6-8*q^7*x^6+17*q^8*x^6+6*q^9*x^6-8*q^10*x^6-14*q^11*x^6-12*q^12*x^6-11*q^13*x^6+4*q^14*x^6+4*q^15*x^6+3*q^16*x^6-q^17*x^6-3*q^18*x^6-4*q^19*x^6-3*q^20*x^6-5*q^21*x^6-2*q^-5*x^7-2*q^-4*x^7-9*q^-3*x^7-12*q^-2*x^7-20*q^-1*x^7-23*x^7-33*q*x^7+16*q^2*x^7+q^3*x^7+2*q^4*x^7-44*q^5*x^7-16*q^6*x^7+22*q^7*x^7+44*q^8*x^7-8*q^9*x^7-46*q^10*x^7-44*q^11*x^7-17*q^12*x^7+4*q^13*x^7+35*q^14*x^7+18*q^15*x^7+q^16*x^7-20*q^17*x^7-27*q^18*x^7-24*q^19*x^7-15*q^20*x^7-11*q^21*x^7+8*q^22*x^7+8*q^23*x^7+6*q^24*x^7+2*q^25*x^7-2*q^26*x^7-6*q^27*x^7-6*q^28*x^7-6*q^29*x^7-4*q^30*x^7-6*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^8-31*q^-3*x^8-32*q^-2*x^8-46*q^-1*x^8-28*x^8-24*q*x^8+38*q^2*x^8-20*q^3*x^8-24*q^4*x^8-47*q^5*x^8+39*q^6*x^8+76*q^7*x^8+31*q^8*x^8-96*q^9*x^8-125*q^10*x^8-40*q^11*x^8+60*q^12*x^8+92*q^13*x^8+95*q^14*x^8-66*q^16*x^8-110*q^17*x^8-87*q^18*x^8-43*q^19*x^8+8*q^20*x^8+36*q^21*x^8+69*q^22*x^8+40*q^23*x^8+10*q^24*x^8-19*q^25*x^8-44*q^26*x^8-52*q^27*x^8-44*q^28*x^8-30*q^29*x^8-14*q^30*x^8-7*q^31*x^8+16*q^32*x^8+15*q^33*x^8+11*q^34*x^8+5*q^35*x^8+q^36*x^8-7*q^37*x^8-9*q^38*x^8-11*q^39*x^8-9*q^40*x^8-8*q^41*x^8-5*q^42*x^8-7*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^9-31*q^-6*x^9-52*q^-5*x^9-53*q^-4*x^9-71*q^-3*x^9-63*q^-2*x^9-60*q^-1*x^9-3*x^9-10*q*x^9+36*q^2*x^9-48*q^3*x^9+4*q^4*x^9+32*q^5*x^9+112*q^6*x^9+46*q^7*x^9-120*q^8*x^9-243*q^9*x^9-114*q^10*x^9+175*q^11*x^9+318*q^12*x^9+209*q^13*x^9+24*q^14*x^9-230*q^15*x^9-308*q^16*x^9-247*q^17*x^9-55*q^18*x^9+126*q^19*x^9+237*q^20*x^9+232*q^21*x^9+173*q^22*x^9+2*q^23*x^9-126*q^24*x^9-204*q^25*x^9-223*q^26*x^9-170*q^27*x^9-75*q^28*x^9+9*q^29*x^9+79*q^30*x^9+104*q^31*x^9+129*q^32*x^9+77*q^33*x^9+22*q^34*x^9-27*q^35*x^9-63*q^36*x^9-94*q^37*x^9-93*q^38*x^9-79*q^39*x^9-53*q^40*x^9-28*q^41*x^9-5*q^42*x^9+5*q^43*x^9+30*q^44*x^9+26*q^45*x^9+20*q^46*x^9+10*q^47*x^9+2*q^48*x^9-6*q^49*x^9-12*q^50*x^9-18*q^51*x^9-16*q^52*x^9-16*q^53*x^9-12*q^54*x^9-10*q^55*x^9-6*q^56*x^9-8*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^10-54*q^-9*x^10-67*q^-8*x^10-92*q^-7*x^10-101*q^-6*x^10-126*q^-5*x^10-102*q^-4*x^10-122*q^-3*x^10-68*q^-2*x^10-31*q^-1*x^10+52*x^10-q*x^10+68*q^2*x^10+19*q^3*x^10+128*q^4*x^10+78*q^5*x^10-q^6*x^10-196*q^7*x^10-291*q^8*x^10-123*q^9*x^10+344*q^10*x^10+721*q^11*x^10+549*q^12*x^10-82*q^13*x^10-599*q^14*x^10-833*q^15*x^10-505*q^16*x^10+47*q^17*x^10+608*q^18*x^10+849*q^19*x^10+732*q^20*x^10+322*q^21*x^10-133*q^22*x^10-577*q^23*x^10-752*q^24*x^10-666*q^25*x^10-394*q^26*x^10-6*q^27*x^10+345*q^28*x^10+538*q^29*x^10+588*q^30*x^10+454*q^31*x^10+269*q^32*x^10-47*q^33*x^10-279*q^34*x^10-424*q^35*x^10-458*q^36*x^10-429*q^37*x^10-282*q^38*x^10-119*q^39*x^10+47*q^40*x^10+157*q^41*x^10+226*q^42*x^10+233*q^43*x^10+224*q^44*x^10+128*q^45*x^10+35*q^46*x^10-51*q^47*x^10-116*q^48*x^10-155*q^49*x^10-176*q^50*x^10-167*q^51*x^10-130*q^52*x^10-90*q^53*x^10-46*q^54*x^10-10*q^55*x^10+19*q^56*x^10+28*q^57*x^10+53*q^58*x^10+45*q^59*x^10+33*q^60*x^10+16*q^61*x^10+5*q^62*x^10-9*q^63*x^10-16*q^64*x^10-26*q^65*x^10-27*q^66*x^10-29*q^67*x^10-23*q^68*x^10-21*q^69*x^10-15*q^70*x^10-12*q^71*x^10-7*q^72*x^10-9*q^73*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12a_506 | [-1, 2, -1, 2, -3, 2, -3, 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^3-6*x^4-21*x^5-2*q^-2*x^6-56*x^6-2*q^2*x^6-q^-4*x^7-7*q^-3*x^7-11*q^-2*x^7-126*x^7-11*q^2*x^7-7*q^3*x^7-q^4*x^7-2*q^-6*x^8-2*q^-5*x^8-18*q^-4*x^8-40*q^-3*x^8-38*q^-2*x^8-252*x^8-38*q^2*x^8-40*q^3*x^8-18*q^4*x^8-2*q^5*x^8-2*q^6*x^8-q^-9*x^9-3*q^-8*x^9-4*q^-7*x^9-11*q^-6*x^9-28*q^-5*x^9-94*q^-4*x^9-141*q^-3*x^9-103*q^-2*x^9-4*q^-1*x^9-466*x^9-4*q*x^9-103*q^2*x^9-141*q^3*x^9-94*q^4*x^9-28*q^5*x^9-11*q^6*x^9-4*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^10-24*q^-8*x^10-18*q^-7*x^10-56*q^-6*x^10-148*q^-5*x^10-324*q^-4*x^10-388*q^-3*x^10-252*q^-2*x^10-38*q^-1*x^10-832*x^10-38*q*x^10-252*q^2*x^10-388*q^3*x^10-324*q^4*x^10-148*q^5*x^10-56*q^6*x^10-18*q^7*x^10-24*q^8*x^10-12*q^9*x^10-6*q^10*x^10-2*q^11*x^10-2*q^12*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_507 | [-1, 2, -4, 3, 2, -1, 4, -3, -2, -4, -4, -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^2-4*q^-1*x^3-2*q*x^3+q^-2*x^4-10*q^-1*x^4-2*x^4-8*q*x^4-q^2*x^4-q^4*x^4-3*q^5*x^4+q^-3*x^5+4*q^-2*x^5-21*q^-1*x^5-6*x^5-24*q*x^5-6*q^2*x^5-q^3*x^5-6*q^4*x^5-14*q^5*x^5-2*q^6*x^5-2*q^9*x^5-2*q^10*x^5-4*q^11*x^5-q^-4*x^6+4*q^-3*x^6+9*q^-2*x^6-35*q^-1*x^6-13*x^6-57*q*x^6-26*q^2*x^6-11*q^3*x^6-15*q^4*x^6-44*q^5*x^6-14*q^6*x^6+q^8*x^6-12*q^9*x^6-15*q^10*x^6-21*q^11*x^6-4*q^12*x^6+q^14*x^6-q^15*x^6-3*q^16*x^6-4*q^17*x^6-3*q^18*x^6-5*q^19*x^6-q^-6*x^7-3*q^-5*x^7-4*q^-4*x^7+7*q^-3*x^7+17*q^-2*x^7-49*q^-1*x^7-19*x^7-118*q*x^7-78*q^2*x^7-47*q^3*x^7-43*q^4*x^7-108*q^5*x^7-58*q^6*x^7-14*q^7*x^7+8*q^8*x^7-34*q^9*x^7-56*q^10*x^7-77*q^11*x^7-27*q^12*x^7-q^13*x^7+8*q^14*x^7-3*q^15*x^7-20*q^16*x^7-30*q^17*x^7-26*q^18*x^7-30*q^19*x^7-6*q^20*x^7+2*q^22*x^7-2*q^24*x^7-6*q^25*x^7-6*q^26*x^7-6*q^27*x^7-4*q^28*x^7-6*q^29*x^7-q^-8*x^8+q^-7*x^8-9*q^-6*x^8-12*q^-5*x^8-19*q^-4*x^8+27*q^-2*x^8-55*q^-1*x^8-19*x^8-217*q*x^8-184*q^2*x^8-137*q^3*x^8-121*q^4*x^8-256*q^5*x^8-183*q^6*x^8-97*q^7*x^8+4*q^8*x^8-56*q^9*x^8-140*q^10*x^8-229*q^11*x^8-121*q^12*x^8-25*q^13*x^8+35*q^14*x^8+5*q^15*x^8-62*q^16*x^8-125*q^17*x^8-119*q^18*x^8-123*q^19*x^8-43*q^20*x^8-q^21*x^8+17*q^22*x^8+7*q^23*x^8-11*q^24*x^8-43*q^25*x^8-52*q^26*x^8-52*q^27*x^8-41*q^28*x^8-39*q^29*x^8-8*q^30*x^8+q^31*x^8+3*q^32*x^8+q^33*x^8-q^34*x^8-7*q^35*x^8-9*q^36*x^8-11*q^37*x^8-9*q^38*x^8-8*q^39*x^8-5*q^40*x^8-7*q^41*x^8+q^-9*x^9-3*q^-7*x^9-30*q^-6*x^9-43*q^-5*x^9-78*q^-4*x^9-44*q^-3*x^9+32*q^-2*x^9-52*q^-1*x^9-17*x^9-370*q*x^9-362*q^2*x^9-304*q^3*x^9-294*q^4*x^9-584*q^5*x^9-529*q^6*x^9-389*q^7*x^9-114*q^8*x^9-106*q^9*x^9-259*q^10*x^9-548*q^11*x^9-425*q^12*x^9-191*q^13*x^9+55*q^14*x^9+73*q^15*x^9-103*q^16*x^9-339*q^17*x^9-413*q^18*x^9-427*q^19*x^9-205*q^20*x^9-28*q^21*x^9+83*q^22*x^9+60*q^23*x^9-16*q^24*x^9-160*q^25*x^9-239*q^26*x^9-261*q^27*x^9-214*q^28*x^9-177*q^29*x^9-58*q^30*x^9+8*q^31*x^9+33*q^32*x^9+21*q^33*x^9-2*q^34*x^9-47*q^35*x^9-80*q^36*x^9-100*q^37*x^9-92*q^38*x^9-80*q^39*x^9-56*q^40*x^9-48*q^41*x^9-8*q^42*x^9+2*q^43*x^9+6*q^44*x^9+2*q^45*x^9-2*q^46*x^9-8*q^47*x^9-12*q^48*x^9-18*q^49*x^9-16*q^50*x^9-16*q^51*x^9-12*q^52*x^9-10*q^53*x^9-6*q^54*x^9-8*q^55*x^9+q^-13*x^10-q^-11*x^10+3*q^-10*x^10+11*q^-9*x^10-q^-8*x^10-10*q^-7*x^10-80*q^-6*x^10-150*q^-5*x^10-250*q^-4*x^10-182*q^-3*x^10-18*q^-2*x^10-87*q^-1*x^10-69*x^10-623*q*x^10-622*q^2*x^10-536*q^3*x^10-584*q^4*x^10-1241*q^5*x^10-1373*q^6*x^10-1245*q^7*x^10-634*q^8*x^10-371*q^9*x^10-478*q^10*x^10-1126*q^11*x^10-1191*q^12*x^10-868*q^13*x^10-176*q^14*x^10+168*q^15*x^10-8*q^16*x^10-618*q^17*x^10-1054*q^18*x^10-1297*q^19*x^10-844*q^20*x^10-285*q^21*x^10+204*q^22*x^10+302*q^23*x^10+115*q^24*x^10-367*q^25*x^10-757*q^26*x^10-955*q^27*x^10-867*q^28*x^10-690*q^29*x^10-286*q^30*x^10+20*q^31*x^10+192*q^32*x^10+165*q^33*x^10+53*q^34*x^10-166*q^35*x^10-359*q^36*x^10-507*q^37*x^10-509*q^38*x^10-455*q^39*x^10-324*q^40*x^10-232*q^41*x^10-54*q^42*x^10+32*q^43*x^10+69*q^44*x^10+44*q^45*x^10+2*q^46*x^10-59*q^47*x^10-111*q^48*x^10-168*q^49*x^10-176*q^50*x^10-169*q^51*x^10-140*q^52*x^10-108*q^53*x^10-70*q^54*x^10-54*q^55*x^10-7*q^56*x^10+7*q^57*x^10+9*q^58*x^10+2*q^59*x^10-3*q^60*x^10-13*q^61*x^10-18*q^62*x^10-26*q^63*x^10-27*q^64*x^10-29*q^65*x^10-23*q^66*x^10-21*q^67*x^10-15*q^68*x^10-12*q^69*x^10-7*q^70*x^10-9*q^71*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_508 | [1, 2, 2, 3, 1, 3, -2, -2, 1, 1, -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] | -q^2*x^3-3*q^2*x^4+q*x^5-6*q^2*x^5+3*q^3*x^5+3*x^6+3*q*x^6-10*q^2*x^6+9*q^3*x^6+q^4*x^6+5*q^-1*x^7+9*x^7+3*q*x^7-18*q^2*x^7+17*q^3*x^7-q^5*x^7-3*q^-3*x^8+7*q^-2*x^8+15*q^-1*x^8+10*x^8-8*q*x^8-32*q^2*x^8+26*q^3*x^8-3*q^4*x^8-5*q^5*x^8+3*q^6*x^8-q^7*x^8-6*q^-5*x^9-8*q^-4*x^9+24*q^-2*x^9+18*q^-1*x^9-9*x^9-33*q*x^9-45*q^2*x^9+44*q^3*x^9-5*q^4*x^9-8*q^5*x^9+13*q^6*x^9-q^7*x^9-2*q^9*x^9-7*q^-7*x^10-15*q^-6*x^10-33*q^-5*x^10-5*q^-4*x^10+26*q^-3*x^10+45*q^-2*x^10-5*q^-1*x^10-50*x^10-50*q*x^10-34*q^2*x^10+81*q^3*x^10-3*q^4*x^10-9*q^5*x^10+33*q^6*x^10-3*q^7*x^10-11*q^9*x^10-q^10*x^10-q^11*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12n_509 | [-1, 2, 3, -1, 3, -4, 2, 3, 2, -4, 2, 3] | [-1, -1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, -1] | -q^2*x^3-4*q^2*x^4-2*q*x^5-10*q^2*x^5-4*x^6-8*q*x^6-20*q^2*x^6-3*q^4*x^6-2*q^-2*x^7-6*q^-1*x^7-17*x^7-20*q*x^7-35*q^2*x^7-4*q^3*x^7-12*q^4*x^7-4*q^5*x^7-4*q^-4*x^8-4*q^-3*x^8-16*q^-2*x^8-28*q^-1*x^8-44*x^8-40*q*x^8-65*q^2*x^8-22*q^3*x^8-36*q^4*x^8-16*q^5*x^8-8*q^6*x^8-2*q^-7*x^9-6*q^-6*x^9-8*q^-5*x^9-22*q^-4*x^9-28*q^-3*x^9-62*q^-2*x^9-76*q^-1*x^9-94*x^9-90*q*x^9-136*q^2*x^9-78*q^3*x^9-92*q^4*x^9-50*q^5*x^9-33*q^6*x^9-14*q^7*x^9-5*q^8*x^9-4*q^-10*x^10-4*q^-9*x^10-12*q^-8*x^10-20*q^-7*x^10-36*q^-6*x^10-44*q^-5*x^10-84*q^-4*x^10-108*q^-3*x^10-168*q^-2*x^10-178*q^-1*x^10-218*x^10-232*q*x^10-309*q^2*x^10-218*q^3*x^10-220*q^4*x^10-140*q^5*x^10-112*q^6*x^10-66*q^7*x^10-39*q^8*x^10-10*q^9*x^10-6*q^10*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_510 | [-1, 2, -3, -1, -3, -4, -2, 3, -2, -4, -2, -3] | [-1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1] | -q^-2*x^2-6*q^-2*x^3-4*x^3-2*q^-3*x^4-21*q^-2*x^4-2*q^-1*x^4-24*x^4-16*q*x^4-q^2*x^4-6*q^3*x^4-9*q^4*x^4-4*q^-4*x^5-12*q^-3*x^5-64*q^-2*x^5-20*q^-1*x^5-100*x^5-100*q*x^5-54*q^2*x^5-46*q^3*x^5-88*q^4*x^5-58*q^5*x^5-34*q^6*x^5-8*q^7*x^5-20*q^8*x^5-16*q^9*x^5-16*q^10*x^5-2*q^-6*x^6-6*q^-5*x^6-29*q^-4*x^6-62*q^-3*x^6-190*q^-2*x^6-132*q^-1*x^6-371*x^6-446*q*x^6-361*q^2*x^6-348*q^3*x^6-490*q^4*x^6-512*q^5*x^6-438*q^6*x^6-266*q^7*x^6-265*q^8*x^6-254*q^9*x^6-281*q^10*x^6-198*q^11*x^6-121*q^12*x^6-78*q^13*x^6-44*q^14*x^6-54*q^15*x^6-49*q^16*x^6-30*q^17*x^6-25*q^18*x^6-4*q^-8*x^7-4*q^-7*x^7-28*q^-6*x^7-58*q^-5*x^7-159*q^-4*x^7-286*q^-3*x^7-638*q^-2*x^7-674*q^-1*x^7-1379*x^7-1758*q*x^7-1783*q^2*x^7-1906*q^3*x^7-2482*q^4*x^7-2832*q^5*x^7-2959*q^6*x^7-2472*q^7*x^7-2336*q^8*x^7-2278*q^9*x^7-2530*q^10*x^7-2350*q^11*x^7-2060*q^12*x^7-1616*q^13*x^7-1264*q^14*x^7-1102*q^15*x^7-1072*q^16*x^7-922*q^17*x^7-848*q^18*x^7-596*q^19*x^7-412*q^20*x^7-274*q^21*x^7-218*q^22*x^7-144*q^23*x^7-156*q^24*x^7-120*q^25*x^7-88*q^26*x^7-48*q^27*x^7-36*q^28*x^7-2*q^-11*x^8-6*q^-10*x^8-12*q^-9*x^8-46*q^-8*x^8-72*q^-7*x^8-206*q^-6*x^8-394*q^-5*x^8-800*q^-4*x^8-1332*q^-3*x^8-2414*q^-2*x^8-3132*q^-1*x^8-5237*x^8-6858*q*x^8-7831*q^2*x^8-9080*q^3*x^8-11469*q^4*x^8-13664*q^5*x^8-15292*q^6*x^8-15190*q^7*x^8-15237*q^8*x^8-15426*q^9*x^8-16859*q^10*x^8-17420*q^11*x^8-17313*q^12*x^8-15958*q^13*x^8-14265*q^14*x^8-12982*q^15*x^8-12347*q^16*x^8-11774*q^17*x^8-11336*q^18*x^8-10212*q^19*x^8-8779*q^20*x^8-7242*q^21*x^8-6063*q^22*x^8-4950*q^23*x^8-4431*q^24*x^8-3920*q^25*x^8-3457*q^26*x^8-2862*q^27*x^8-2357*q^28*x^8-1748*q^29*x^8-1253*q^30*x^8-928*q^31*x^8-709*q^32*x^8-564*q^33*x^8-445*q^34*x^8-380*q^35*x^8-308*q^36*x^8-206*q^37*x^8-137*q^38*x^8-70*q^39*x^8-49*q^40*x^8-4*q^-14*x^9-4*q^-13*x^9-20*q^-12*x^9-40*q^-11*x^9-90*q^-10*x^9-160*q^-9*x^9-381*q^-8*x^9-642*q^-7*x^9-1325*q^-6*x^9-2276*q^-5*x^9-3982*q^-4*x^9-6232*q^-3*x^9-10052*q^-2*x^9-13880*q^-1*x^9-20796*x^9-27288*q*x^9-33319*q^2*x^9-40376*q^3*x^9-50683*q^4*x^9-61314*q^5*x^9-71300*q^6*x^9-77026*q^7*x^9-82362*q^8*x^9-87210*q^9*x^9-95687*q^10*x^9-103124*q^11*x^9-109128*q^12*x^9-109948*q^13*x^9-107721*q^14*x^9-104120*q^15*x^9-102219*q^16*x^9-100886*q^17*x^9-100849*q^18*x^9-98432*q^19*x^9-93958*q^20*x^9-86726*q^21*x^9-79192*q^22*x^9-70932*q^23*x^9-65057*q^24*x^9-59752*q^25*x^9-55654*q^26*x^9-50956*q^27*x^9-46390*q^28*x^9-40706*q^29*x^9-35082*q^30*x^9-29516*q^31*x^9-25070*q^32*x^9-21174*q^33*x^9-18216*q^34*x^9-15766*q^35*x^9-13870*q^36*x^9-11780*q^37*x^9-9918*q^38*x^9-7952*q^39*x^9-6434*q^40*x^9-4844*q^41*x^9-3720*q^42*x^9-2812*q^43*x^9-2248*q^44*x^9-1770*q^45*x^9-1462*q^46*x^9-1112*q^47*x^9-944*q^48*x^9-688*q^49*x^9-500*q^50*x^9-312*q^51*x^9-196*q^52*x^9-96*q^53*x^9-64*q^54*x^9-2*q^-18*x^10-6*q^-17*x^10-12*q^-16*x^10-30*q^-15*x^10-74*q^-14*x^10-112*q^-13*x^10-258*q^-12*x^10-462*q^-11*x^10-853*q^-10*x^10-1458*q^-9*x^10-2729*q^-8*x^10-4488*q^-7*x^10-7801*q^-6*x^10-12440*q^-5*x^10-19687*q^-4*x^10-29486*q^-3*x^10-44098*q^-2*x^10-61176*q^-1*x^10-85901*x^10-112424*q*x^10-141249*q^2*x^10-175324*q^3*x^10-219147*q^4*x^10-267168*q^5*x^10-316484*q^6*x^10-358560*q^7*x^10-399600*q^8*x^10-440172*q^9*x^10-489865*q^10*x^10-540840*q^11*x^10-590910*q^12*x^10-627352*q^13*x^10-650865*q^14*x^10-663722*q^15*x^10-675746*q^16*x^10-688550*q^17*x^10-705780*q^18*x^10-718294*q^19*x^10-722331*q^20*x^10-712624*q^21*x^10-692606*q^22*x^10-662806*q^23*x^10-634299*q^24*x^10-606396*q^25*x^10-583057*q^26*x^10-559544*q^27*x^10-535752*q^28*x^10-505792*q^29*x^10-471794*q^30*x^10-433028*q^31*x^10-394357*q^32*x^10-356800*q^33*x^10-323073*q^34*x^10-293180*q^35*x^10-267616*q^36*x^10-243560*q^37*x^10-220578*q^38*x^10-197366*q^39*x^10-175027*q^40*x^10-152366*q^41*x^10-131525*q^42*x^10-112374*q^43*x^10-96229*q^44*x^10-82384*q^45*x^10-71112*q^46*x^10-61028*q^47*x^10-52967*q^48*x^10-45396*q^49*x^10-38563*q^50*x^10-32100*q^51*x^10-26342*q^52*x^10-21152*q^53*x^10-16954*q^54*x^10-13290*q^55*x^10-10381*q^56*x^10-8234*q^57*x^10-6597*q^58*x^10-5292*q^59*x^10-4289*q^60*x^10-3422*q^61*x^10-2673*q^62*x^10-2074*q^63*x^10-1573*q^64*x^10-1068*q^65*x^10-732*q^66*x^10-438*q^67*x^10-265*q^68*x^10-126*q^69*x^10-81*q^70*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12a_512 | [-1, 2, -3, -1, -3, -3, 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^-1*x^3-6*q^-1*x^4-21*q^-1*x^5-2*x^5-2*q^-3*x^6-58*q^-1*x^6-12*x^6-6*q*x^6-q^-5*x^7-3*q^-4*x^7-11*q^-3*x^7-4*q^-2*x^7-138*q^-1*x^7-48*x^7-34*q*x^7-16*q^2*x^7-5*q^3*x^7-2*q^-7*x^8-2*q^-6*x^8-6*q^-5*x^8-18*q^-4*x^8-44*q^-3*x^8-26*q^-2*x^8-306*q^-1*x^8-148*x^8-132*q*x^8-90*q^2*x^8-64*q^3*x^8-22*q^4*x^8-12*q^5*x^8-q^-10*x^9-3*q^-9*x^9-4*q^-8*x^9-15*q^-7*x^9-12*q^-6*x^9-26*q^-5*x^9-73*q^-4*x^9-147*q^-3*x^9-119*q^-2*x^9-655*q^-1*x^9-414*x^9-408*q*x^9-343*q^2*x^9-305*q^3*x^9-203*q^4*x^9-129*q^5*x^9-54*q^6*x^9-26*q^7*x^9-7*q^8*x^9-2*q^-13*x^10-2*q^-12*x^10-6*q^-11*x^10-12*q^-10*x^10-26*q^-9*x^10-38*q^-8*x^10-68*q^-7*x^10-52*q^-6*x^10-102*q^-5*x^10-246*q^-4*x^10-448*q^-3*x^10-434*q^-2*x^10-1420*q^-1*x^10-1094*x^10-1158*q*x^10-1068*q^2*x^10-1078*q^3*x^10-902*q^4*x^10-758*q^5*x^10-468*q^6*x^10-310*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_514 | [1, -2, -3, -3, -2, -2, -2, -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^-1*x^2-2*q^-1*x^3+q^-2*x^4-3*q^-1*x^4+x^4+2*q^2*x^4+q^4*x^4+q^-3*x^5+2*q^-2*x^5-4*q^-1*x^5+2*x^5+q*x^5+4*q^2*x^5+q^3*x^5+2*q^4*x^5+2*q^5*x^5+2*q^-3*x^6+2*q^-2*x^6-6*q^-1*x^6+2*x^6+6*q^2*x^6+2*q^4*x^6+3*q^5*x^6+q^6*x^6-2*q^7*x^6-2*q^8*x^6-2*q^10*x^6-2*q^11*x^6-q^14*x^6-q^-6*x^7+2*q^-3*x^7+q^-2*x^7-9*q^-1*x^7-x^7-2*q*x^7+6*q^2*x^7-2*q^3*x^7-2*q^4*x^7+3*q^5*x^7-5*q^7*x^7-8*q^8*x^7-q^9*x^7-5*q^10*x^7-8*q^11*x^7-5*q^12*x^7-q^13*x^7-2*q^14*x^7-2*q^15*x^7-2*q^16*x^7-q^-8*x^8-2*q^-6*x^8+q^-5*x^8+3*q^-3*x^8+q^-2*x^8-12*q^-1*x^8-5*x^8-3*q*x^8+9*q^2*x^8-4*q^3*x^8-6*q^4*x^8+5*q^5*x^8+2*q^6*x^8-6*q^7*x^8-14*q^8*x^8-q^9*x^8-4*q^10*x^8-12*q^11*x^8-15*q^12*x^8-3*q^13*x^8-6*q^16*x^8+5*q^19*x^8+3*q^20*x^8+2*q^21*x^8+2*q^23*x^8+2*q^24*x^8+2*q^25*x^8+q^29*x^8-2*q^-8*x^9+q^-7*x^9-q^-6*x^9+4*q^-5*x^9+2*q^-4*x^9+8*q^-3*x^9+3*q^-2*x^9-15*q^-1*x^9-6*x^9+2*q*x^9+17*q^2*x^9-2*q^3*x^9-6*q^4*x^9+15*q^5*x^9+13*q^6*x^9+q^7*x^9-15*q^8*x^9+7*q^9*x^9+6*q^10*x^9-4*q^11*x^9-18*q^12*x^9-8*q^13*x^9+8*q^14*x^9+17*q^15*x^9+2*q^16*x^9+q^17*x^9+16*q^19*x^9+19*q^20*x^9+16*q^21*x^9+7*q^22*x^9+5*q^23*x^9+9*q^24*x^9+12*q^25*x^9+9*q^26*x^9+5*q^27*x^9+q^28*x^9+2*q^29*x^9+2*q^30*x^9+2*q^31*x^9+2*q^32*x^9+q^-13*x^10-2*q^-8*x^10+4*q^-7*x^10+q^-6*x^10+8*q^-5*x^10+7*q^-4*x^10+15*q^-3*x^10+2*q^-2*x^10-20*q^-1*x^10-4*x^10+9*q*x^10+24*q^2*x^10-3*q^3*x^10-4*q^4*x^10+31*q^5*x^10+30*q^6*x^10+10*q^7*x^10-17*q^8*x^10+16*q^9*x^10+25*q^10*x^10+13*q^11*x^10-17*q^12*x^10-18*q^13*x^10+5*q^14*x^10+41*q^15*x^10+26*q^16*x^10+13*q^17*x^10-12*q^18*x^10+17*q^19*x^10+39*q^20*x^10+48*q^21*x^10+27*q^22*x^10+10*q^23*x^10+5*q^24*x^10+20*q^25*x^10+26*q^26*x^10+26*q^27*x^10+9*q^28*x^10-4*q^30*x^10-q^31*x^10+3*q^32*x^10+3*q^33*x^10-q^34*x^10-3*q^35*x^10-6*q^36*x^10-6*q^37*x^10-3*q^38*x^10-2*q^39*x^10-2*q^41*x^10-2*q^42*x^10-2*q^43*x^10-2*q^44*x^10-q^49*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12a_515 | [1, -2, 3, 4, 2, -3, 4, -3, 2, -3, 1, -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, 1] | -x^3-6*x^4+q^-1*x^5-21*x^5-q*x^5+6*q^-1*x^6-56*x^6-6*q*x^6-2*q^2*x^6+21*q^-1*x^7-125*x^7-21*q*x^7-11*q^2*x^7-4*q^3*x^7-2*q^4*x^7+8*q^-4*x^8+56*q^-1*x^8-246*x^8-54*q*x^8-36*q^2*x^8-20*q^3*x^8-18*q^4*x^8-6*q^5*x^8-4*q^6*x^8+24*q^-5*x^9+48*q^-4*x^9+8*q^-3*x^9+126*q^-1*x^9-441*x^9-115*q*x^9-87*q^2*x^9-57*q^3*x^9-70*q^4*x^9-44*q^5*x^9-33*q^6*x^9-11*q^7*x^9-6*q^8*x^9-2*q^9*x^9-8*q^-7*x^10+48*q^-6*x^10+144*q^-5*x^10+200*q^-4*x^10+56*q^-3*x^10+14*q^-2*x^10+252*q^-1*x^10-736*x^10-216*q*x^10-176*q^2*x^10-116*q^3*x^10-178*q^4*x^10-158*q^5*x^10-152*q^6*x^10-78*q^7*x^10-52*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 | 14 | 14 | Yes | 12 |
| 12a_516 | [1, -2, 3, 4, -2, 3, 4, 3, -2, 3, 1, -4, 1, -2] | [-1, 1, -1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1, -1, 1] | -q*x^3-6*q*x^4+x^5-21*q*x^5+q^2*x^5+6*x^6-56*q*x^6+6*q^2*x^6+2*q^3*x^6-8*q^-2*x^7+21*x^7-127*q*x^7+21*q^2*x^7+13*q^3*x^7+q^4*x^7-q^5*x^7-24*q^-3*x^8-48*q^-2*x^8-4*q^-1*x^8+56*x^8-258*q*x^8+54*q^2*x^8+48*q^3*x^8+10*q^4*x^8-6*q^5*x^8-6*q^6*x^8-2*q^7*x^8+8*q^-5*x^9-48*q^-4*x^9-144*q^-3*x^9-184*q^-2*x^9-16*q^-1*x^9+126*x^9-483*q*x^9+113*q^2*x^9+132*q^3*x^9+45*q^4*x^9-11*q^5*x^9-35*q^6*x^9-21*q^7*x^9-10*q^8*x^9-3*q^9*x^9-q^10*x^9+24*q^-6*x^10-32*q^-5*x^10-284*q^-4*x^10-540*q^-3*x^10-520*q^-2*x^10-36*q^-1*x^10+276*x^10-844*q*x^10+200*q^2*x^10+298*q^3*x^10+140*q^4*x^10+4*q^5*x^10-98*q^6*x^10-90*q^7*x^10-68*q^8*x^10-32*q^9*x^10-16*q^10*x^10-6*q^11*x^10-2*q^12*x^10-2*q^13*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12a_517 | [-1, 2, -1, 2, 2, -3, 4, 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] | -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^6-56*q^2*x^6+12*q^3*x^6+2*q^4*x^6-6*q^-2*x^7-21*q^-1*x^7-64*x^7-84*q*x^7-118*q^2*x^7+44*q^3*x^7+11*q^4*x^7+2*q^5*x^7-14*q^-4*x^8-22*q^-3*x^8-76*q^-2*x^8-144*q^-1*x^8-234*x^8-204*q*x^8-198*q^2*x^8+132*q^3*x^8+40*q^4*x^8+10*q^5*x^8+6*q^6*x^8-2*q^7*x^8-8*q^-7*x^9-29*q^-6*x^9-55*q^-5*x^9-141*q^-4*x^9-213*q^-3*x^9-419*q^-2*x^9-538*q^-1*x^9-598*x^9-358*q*x^9-234*q^2*x^9+350*q^3*x^9+121*q^4*x^9+40*q^5*x^9+32*q^6*x^9-2*q^7*x^9-3*q^8*x^9-3*q^9*x^9-18*q^-10*x^10-30*q^-9*x^10-86*q^-8*x^10-170*q^-7*x^10-324*q^-6*x^10-476*q^-5*x^10-806*q^-4*x^10-1048*q^-3*x^10-1446*q^-2*x^10-1382*q^-1*x^10-1116*x^10-364*q*x^10-40*q^2*x^10+854*q^3*x^10+338*q^4*x^10+144*q^5*x^10+116*q^6*x^10+4*q^7*x^10-6*q^8*x^10-26*q^9*x^10-4*q^10*x^10-2*q^11*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_517 | [1, -2, 3, 1, -2, -2, 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] | -x^3-3*x^4+2*q^-1*x^5-6*x^5+3*q*x^5+q^-2*x^6+6*q^-1*x^6-11*x^6+9*q*x^6+3*q^2*x^6-q^-3*x^7+2*q^-2*x^7+10*q^-1*x^7-24*x^7+16*q*x^7+7*q^2*x^7-2*q^3*x^7-q^4*x^7-q^-5*x^8+2*q^-4*x^8-4*q^-3*x^8+4*q^-2*x^8+13*q^-1*x^8-48*x^8+21*q*x^8+13*q^2*x^8-10*q^3*x^8-5*q^4*x^8-5*q^5*x^8-q^6*x^8-q^-7*x^9+q^-6*x^9+2*q^-5*x^9+9*q^-4*x^9-7*q^-3*x^9+13*q^-2*x^9+20*q^-1*x^9-78*x^9+31*q*x^9+32*q^2*x^9-16*q^3*x^9-10*q^4*x^9-12*q^5*x^9-3*q^7*x^9+q^8*x^9-7*q^-7*x^10+11*q^-6*x^10+11*q^-5*x^10+18*q^-4*x^10-15*q^-3*x^10+31*q^-2*x^10+34*q^-1*x^10-116*x^10+53*q*x^10+79*q^2*x^10-9*q^3*x^10-6*q^4*x^10-17*q^5*x^10+17*q^6*x^10-2*q^7*x^10+7*q^8*x^10+4*q^9*x^10+3*q^10*x^10+2*q^11*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12n_518 | [-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^4*x^3+q^4*x^4-q^3*x^5-5*q^5*x^5+q*x^6+4*q^4*x^6+4*q^5*x^6+12*q^6*x^6+q^7*x^6-q^-2*x^7-4*q^2*x^7-4*q^3*x^7-4*q^4*x^7-6*q^5*x^7-19*q^6*x^7-26*q^7*x^7-9*q^8*x^7+q^-6*x^8+4*q^-1*x^8+4*x^8+4*q*x^8+4*q^2*x^8+6*q^3*x^8+16*q^4*x^8+24*q^5*x^8+22*q^6*x^8+48*q^7*x^8+77*q^8*x^8+46*q^9*x^8+9*q^10*x^8-q^-11*x^9-4*q^-5*x^9-4*q^-4*x^9-4*q^-3*x^9-4*q^-2*x^9-4*q^-1*x^9-6*x^9-16*q*x^9-22*q^2*x^9-34*q^3*x^9-28*q^4*x^9-42*q^5*x^9-68*q^6*x^9-91*q^7*x^9-122*q^8*x^9-207*q^9*x^9-178*q^10*x^9-86*q^11*x^9-16*q^12*x^9-q^13*x^9+q^-17*x^10+4*q^-10*x^10+4*q^-9*x^10+4*q^-8*x^10+4*q^-7*x^10+4*q^-6*x^10+4*q^-5*x^10+6*q^-4*x^10+16*q^-3*x^10+22*q^-2*x^10+32*q^-1*x^10+40*x^10+38*q*x^10+48*q^2*x^10+66*q^3*x^10+112*q^4*x^10+134*q^5*x^10+156*q^6*x^10+204*q^7*x^10+268*q^8*x^10+344*q^9*x^10+520*q^10*x^10+583*q^11*x^10+442*q^12*x^10+203*q^13*x^10+54*q^14*x^10+9*q^15*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12n_521 | [-1, 2, 3, -4, -1, 3, -4, 2, 3, 2, -4, 3] | [1, -1, 1, 1, -1, 1, 1, -1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, -1] | -q*x^3-5*q*x^4-x^5-15*q*x^5-q^-1*x^6-5*x^6-35*q*x^6-3*q^3*x^6-q^-3*x^7-5*q^-1*x^7-15*x^7-70*q*x^7-2*q^2*x^7-15*q^3*x^7-5*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^8-35*x^8-128*q*x^8-13*q^2*x^8-53*q^3*x^8-25*q^4*x^8-8*q^5*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+5*q^-2*x^9-37*q^-1*x^9-71*x^9-223*q*x^9-58*q^2*x^9-150*q^3*x^9-88*q^4*x^9-41*q^5*x^9-17*q^6*x^9-5*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^10-35*q^-5*x^10+10*q^-4*x^10+16*q^-3*x^10+7*q^-2*x^10-78*q^-1*x^10-132*x^10-393*q*x^10-188*q^2*x^10-379*q^3*x^10-250*q^4*x^10-152*q^5*x^10-93*q^6*x^10-57*q^7*x^10-11*q^8*x^10-8*q^9*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12a_521 | [1, -2, 3, 1, 3, 3, -4, 3, -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] | -q^2*x^3-6*q^2*x^4-4*q*x^5-21*q^2*x^5-10*x^6-24*q*x^6-58*q^2*x^6-2*q^4*x^6-6*q^-2*x^7-21*q^-1*x^7-64*x^7-90*q*x^7-138*q^2*x^7-4*q^3*x^7-11*q^4*x^7-3*q^5*x^7-q^6*x^7-14*q^-4*x^8-22*q^-3*x^8-76*q^-2*x^8-148*q^-1*x^8-252*x^8-264*q*x^8-306*q^2*x^8-30*q^3*x^8-44*q^4*x^8-18*q^5*x^8-10*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^9-223*q^-3*x^9-445*q^-2*x^9-618*q^-1*x^9-778*x^9-690*q*x^9-671*q^2*x^9-141*q^3*x^9-153*q^4*x^9-79*q^5*x^9-50*q^6*x^9-24*q^7*x^9-15*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^10-330*q^-6*x^10-504*q^-5*x^10-876*q^-4*x^10-1224*q^-3*x^10-1780*q^-2*x^10-2018*q^-1*x^10-2124*x^10-1732*q*x^10-1520*q^2*x^10-534*q^3*x^10-498*q^4*x^10-298*q^5*x^10-210*q^6*x^10-132*q^7*x^10-88*q^8*x^10-34*q^9*x^10-26*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_522 | [1, -3, -3, -2, 3, -2, -2, -2, -1, 2, -1, 3, -2] | [1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1] | -q^-1*x^2-q^-1*x^3+q^-2*x^4-q^-1*x^4+x^4+q^2*x^4+q^4*x^4+q^-2*x^5-q^-1*x^5+x^5+q^2*x^5+q^4*x^5+q^5*x^5-q^-4*x^6-2*q^-1*x^6+x^6-q*x^6-q^3*x^6-q^7*x^6-q^8*x^6-q^10*x^6-q^11*x^6-q^14*x^6-q^-4*x^7-q^-1*x^7+x^7-q*x^7-q^3*x^7-q^4*x^7-q^7*x^7-2*q^8*x^7-q^10*x^7-2*q^11*x^7-q^12*x^7-q^14*x^7-q^15*x^7-q^16*x^7+q^-7*x^8+q^-5*x^8+q^-3*x^8+q^-2*x^8+q^-1*x^8+2*x^8+q*x^8+2*q^2*x^8+q^3*x^8+2*q^5*x^8+2*q^6*x^8+q^7*x^8-q^8*x^8+2*q^9*x^8+q^10*x^8-q^12*x^8+2*q^13*x^8+q^14*x^8+q^15*x^8-q^16*x^8+q^17*x^8+2*q^19*x^8+q^20*x^8+q^21*x^8+q^23*x^8+q^24*x^8+q^25*x^8+q^29*x^8+q^-7*x^9+q^-5*x^9-q^-4*x^9+q^-3*x^9+q^-2*x^9+q^-1*x^9+x^9+q*x^9+3*q^2*x^9+q^3*x^9-q^4*x^9+2*q^5*x^9+3*q^6*x^9+2*q^7*x^9-2*q^8*x^9+2*q^9*x^9+2*q^10*x^9+2*q^11*x^9+q^13*x^9+2*q^14*x^9+4*q^15*x^9+q^16*x^9+q^17*x^9+3*q^19*x^9+3*q^20*x^9+3*q^21*x^9+q^22*x^9+q^23*x^9+2*q^24*x^9+3*q^25*x^9+2*q^26*x^9+q^27*x^9+q^29*x^9+q^30*x^9+q^31*x^9+q^32*x^9-q^-11*x^10-q^-9*x^10-q^-8*x^10-q^-6*x^10-q^-5*x^10-3*q^-4*x^10-q^-3*x^10-q^-2*x^10-3*q^-1*x^10-2*x^10-2*q*x^10-3*q^3*x^10-6*q^4*x^10-2*q^5*x^10-2*q^7*x^10-7*q^8*x^10-5*q^9*x^10-2*q^10*x^10-q^11*x^10-3*q^12*x^10-5*q^13*x^10-5*q^14*x^10+q^15*x^10-q^17*x^10-6*q^18*x^10-3*q^19*x^10+2*q^21*x^10-q^22*x^10-2*q^23*x^10-3*q^24*x^10+q^26*x^10+q^27*x^10-2*q^28*x^10-2*q^29*x^10-2*q^30*x^10-q^31*x^10-q^34*x^10-q^35*x^10-2*q^36*x^10-2*q^37*x^10-q^38*x^10-q^39*x^10-q^41*x^10-q^42*x^10-q^43*x^10-q^44*x^10-q^49*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12n_525 | [-1, 2, -1, -2, -3, 4, -5, 2, 3, 3, -4, 2, 3, -4, -5] | [1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1] | -x^2-7*x^3-4*q^-1*x^4-28*x^4+4*q*x^4-9*q^-2*x^5-28*q^-1*x^5-78*x^5+28*q*x^5+16*q^2*x^5-5*q^-4*x^6-16*q^-3*x^6-68*q^-2*x^6-98*q^-1*x^6-152*x^6+151*q*x^6+110*q^2*x^6+25*q^3*x^6-4*q^4*x^6-11*q^-6*x^7-14*q^-5*x^7-60*q^-4*x^7-128*q^-3*x^7-251*q^-2*x^7-184*q^-1*x^7-76*x^7+661*q*x^7+516*q^2*x^7+151*q^3*x^7-28*q^4*x^7-52*q^5*x^7-8*q^6*x^7-6*q^-9*x^8-20*q^-8*x^8-32*q^-7*x^8-104*q^-6*x^8-134*q^-5*x^8-341*q^-4*x^8-460*q^-3*x^8-462*q^-2*x^8+235*q^-1*x^8+992*x^8+2529*q*x^8+1847*q^2*x^8+490*q^3*x^8-324*q^4*x^8-490*q^5*x^8-237*q^6*x^8-82*q^7*x^8-q^8*x^8-13*q^-12*x^9-18*q^-11*x^9-50*q^-10*x^9-102*q^-9*x^9-197*q^-8*x^9-266*q^-7*x^9-524*q^-6*x^9-622*q^-5*x^9-960*q^-4*x^9-511*q^-3*x^9+825*q^-2*x^9+3723*q^-1*x^9+6068*x^9+8230*q*x^9+5128*q^2*x^9+319*q^3*x^9-2656*q^4*x^9-3291*q^5*x^9-2063*q^6*x^9-915*q^7*x^9-140*q^8*x^9+31*q^9*x^9+54*q^10*x^9+22*q^11*x^9-7*q^-16*x^10-24*q^-15*x^10-41*q^-14*x^10-76*q^-13*x^10-194*q^-12*x^10-248*q^-11*x^10-452*q^-10*x^10-642*q^-9*x^10-953*q^-8*x^10-1017*q^-7*x^10-1432*q^-6*x^10-854*q^-5*x^10+290*q^-4*x^10+4560*q^-3*x^10+11074*q^-2*x^10+19162*q^-1*x^10+22836*x^10+21599*q*x^10+8551*q^2*x^10-7314*q^3*x^10-16664*q^4*x^10-17729*q^5*x^10-12013*q^6*x^10-5745*q^7*x^10-955*q^8*x^10+757*q^9*x^10+1053*q^10*x^10+644*q^11*x^10+338*q^12*x^10+91*q^13*x^10+25*q^14*x^10 | 10 | 15 | 15 | Yes | 12 |
| 12n_526 | [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^2*x^3-3*q^2*x^4+q*x^5-6*q^2*x^5-q^3*x^5+3*x^6+3*q*x^6-10*q^2*x^6-3*q^3*x^6-2*q^4*x^6+5*q^-1*x^7+9*x^7+7*q*x^7-14*q^2*x^7-7*q^3*x^7-7*q^4*x^7-q^5*x^7-3*q^-3*x^8+7*q^-2*x^8+15*q^-1*x^8+20*x^8+16*q*x^8-15*q^2*x^8-11*q^3*x^8-15*q^4*x^8-5*q^5*x^8-5*q^6*x^8-6*q^-5*x^9-8*q^-4*x^9+20*q^-2*x^9+32*q^-1*x^9+41*x^9+41*q*x^9-5*q^2*x^9-10*q^3*x^9-25*q^4*x^9-14*q^5*x^9-19*q^6*x^9-6*q^7*x^9-q^8*x^9-7*q^-7*x^10-15*q^-6*x^10-33*q^-5*x^10-15*q^-4*x^10+4*q^-3*x^10+37*q^-2*x^10+60*q^-1*x^10+91*x^10+97*q*x^10+31*q^2*x^10+5*q^3*x^10-27*q^4*x^10-24*q^5*x^10-46*q^6*x^10-26*q^7*x^10-12*q^8*x^10-q^9*x^10-2*q^10*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12a_528 | [1, -2, 3, -4, -2, -4, 3, -2, -4, 1, 1, -2] | [-1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1] | -q^-1*x^3-6*q^-1*x^4+2*q^-2*x^5-21*q^-1*x^5-2*x^5+2*q^-3*x^6+12*q^-2*x^6-56*q^-1*x^6-12*x^6-6*q*x^6-2*q^-4*x^7+11*q^-3*x^7+44*q^-2*x^7-122*q^-1*x^7-42*x^7-34*q*x^7-16*q^2*x^7-5*q^3*x^7-2*q^-6*x^8-6*q^-5*x^8-14*q^-4*x^8+36*q^-3*x^8+128*q^-2*x^8-222*q^-1*x^8-100*x^8-114*q*x^8-86*q^2*x^8-64*q^3*x^8-22*q^4*x^8-12*q^5*x^8-3*q^-8*x^9+q^-7*x^9-22*q^-6*x^9-36*q^-5*x^9-62*q^-4*x^9+85*q^-3*x^9+318*q^-2*x^9-330*q^-1*x^9-166*x^9-258*q*x^9-265*q^2*x^9-279*q^3*x^9-193*q^4*x^9-129*q^5*x^9-54*q^6*x^9-26*q^7*x^9-7*q^8*x^9-2*q^-10*x^10-4*q^-9*x^10-14*q^-8*x^10-10*q^-7*x^10-92*q^-6*x^10-144*q^-5*x^10-220*q^-4*x^10+138*q^-3*x^10+682*q^-2*x^10-374*q^-1*x^10-138*x^10-394*q*x^10-526*q^2*x^10-754*q^3*x^10-730*q^4*x^10-688*q^5*x^10-440*q^6*x^10-304*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_528 | [-1, -2, -2, 3, -2, -2, -1, -3, -2, -2, -1, -3, 2] | [-1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1] | -q^-3*x^2+3*q^-3*x^3-q^-5*x^4-9*q^-4*x^4-2*q^-3*x^4-4*q^-2*x^4+10*q^-6*x^5+24*q^-5*x^5+20*q^-4*x^5+12*q^-3*x^5+4*q^-2*x^5+2*q^-1*x^5+5*x^5-q^-9*x^6-14*q^-8*x^6-59*q^-7*x^6-84*q^-6*x^6-79*q^-5*x^6-40*q^-4*x^6-37*q^-3*x^6-21*q^-2*x^6-16*q^-1*x^6-5*x^6-4*q*x^6-3*q^2*x^6-6*q^3*x^6+10*q^-11*x^7+46*q^-10*x^7+159*q^-9*x^7+279*q^-8*x^7+325*q^-7*x^7+264*q^-6*x^7+197*q^-5*x^7+156*q^-4*x^7+104*q^-3*x^7+68*q^-2*x^7+58*q^-1*x^7+37*x^7+28*q*x^7+18*q^2*x^7+8*q^3*x^7+6*q^4*x^7+6*q^5*x^7+4*q^6*x^7+7*q^7*x^7-q^-15*x^8-14*q^-14*x^8-71*q^-13*x^8-244*q^-12*x^8-559*q^-11*x^8-983*q^-10*x^8-1194*q^-9*x^8-1202*q^-8*x^8-975*q^-7*x^8-814*q^-6*x^8-618*q^-5*x^8-477*q^-4*x^8-357*q^-3*x^8-296*q^-2*x^8-195*q^-1*x^8-154*x^8-103*q*x^8-92*q^2*x^8-64*q^3*x^8-48*q^4*x^8-32*q^5*x^8-25*q^6*x^8-11*q^7*x^8-11*q^8*x^8-9*q^9*x^8-8*q^10*x^8-5*q^11*x^8-8*q^12*x^8+10*q^-18*x^9+46*q^-17*x^9+196*q^-16*x^9+561*q^-15*x^9+1340*q^-14*x^9+2474*q^-13*x^9+3778*q^-12*x^9+4639*q^-11*x^9+4811*q^-10*x^9+4411*q^-9*x^9+3759*q^-8*x^9+3134*q^-7*x^9+2571*q^-6*x^9+2044*q^-5*x^9+1651*q^-4*x^9+1310*q^-3*x^9+1012*q^-2*x^9+788*q^-1*x^9+633*x^9+499*q*x^9+375*q^2*x^9+280*q^3*x^9+223*q^4*x^9+168*q^5*x^9+148*q^6*x^9+107*q^7*x^9+82*q^8*x^9+59*q^9*x^9+44*q^10*x^9+32*q^11*x^9+20*q^12*x^9+16*q^13*x^9+16*q^14*x^9+12*q^15*x^9+10*q^16*x^9+6*q^17*x^9+9*q^18*x^9-q^-23*x^10-14*q^-22*x^10-71*q^-21*x^10-258*q^-20*x^10-783*q^-19*x^10-1936*q^-18*x^10-4145*q^-17*x^10-7483*q^-16*x^10-11788*q^-15*x^10-15821*q^-14*x^10-18735*q^-13*x^10-19415*q^-12*x^10-18596*q^-11*x^10-16592*q^-10*x^10-14491*q^-9*x^10-12290*q^-8*x^10-10412*q^-7*x^10-8540*q^-6*x^10-7154*q^-5*x^10-5815*q^-4*x^10-4765*q^-3*x^10-3827*q^-2*x^10-3161*q^-1*x^10-2520*x^10-2045*q*x^10-1619*q^2*x^10-1332*q^3*x^10-1057*q^4*x^10-879*q^5*x^10-655*q^6*x^10-537*q^7*x^10-419*q^8*x^10-351*q^9*x^10-275*q^10*x^10-237*q^11*x^10-179*q^12*x^10-142*q^13*x^10-103*q^14*x^10-80*q^15*x^10-59*q^16*x^10-48*q^17*x^10-29*q^18*x^10-29*q^19*x^10-23*q^20*x^10-21*q^21*x^10-15*q^22*x^10-12*q^23*x^10-7*q^24*x^10-10*q^25*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12n_529 | [-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^2-9*q*x^3-12*x^4-45*q*x^4-5*q^2*x^4-2*q^-2*x^5-46*q^-1*x^5-106*x^5-192*q*x^5-44*q^2*x^5-14*q^3*x^5-q^4*x^5-7*q^-4*x^6-53*q^-3*x^6-180*q^-2*x^6-446*q^-1*x^6-656*x^6-786*q*x^6-300*q^2*x^6-130*q^3*x^6-42*q^4*x^6-16*q^5*x^6-3*q^6*x^6-8*q^-7*x^7-32*q^-6*x^7-179*q^-5*x^7-406*q^-4*x^7-1028*q^-3*x^7-1906*q^-2*x^7-3008*q^-1*x^7-3467*x^7-3377*q*x^7-1748*q^2*x^7-941*q^3*x^7-435*q^4*x^7-223*q^5*x^7-87*q^6*x^7-44*q^7*x^7-10*q^8*x^7-3*q^9*x^7-3*q^-11*x^8-25*q^-10*x^8-79*q^-9*x^8-268*q^-8*x^8-733*q^-7*x^8-1591*q^-6*x^8-3335*q^-5*x^8-5862*q^-4*x^8-9816*q^-3*x^8-13895*q^-2*x^8-17255*q^-1*x^8-17516*x^8-15364*q*x^8-9680*q^2*x^8-5979*q^3*x^8-3417*q^4*x^8-2015*q^5*x^8-1081*q^6*x^8-610*q^7*x^8-276*q^8*x^8-140*q^9*x^8-57*q^10*x^8-20*q^11*x^8-8*q^12*x^8-q^13*x^8-10*q^-15*x^9-34*q^-14*x^9-126*q^-13*x^9-310*q^-12*x^9-879*q^-11*x^9-1867*q^-10*x^9-4016*q^-9*x^9-7671*q^-8*x^9-14000*q^-7*x^9-23078*q^-6*x^9-36632*q^-5*x^9-52684*q^-4*x^9-71179*q^-3*x^9-85507*q^-2*x^9-92844*q^-1*x^9-87658*x^9-74114*q*x^9-52477*q^2*x^9-35951*q^3*x^9-23417*q^4*x^9-15367*q^5*x^9-9597*q^6*x^9-6037*q^7*x^9-3453*q^8*x^9-2037*q^9*x^9-1094*q^10*x^9-590*q^11*x^9-292*q^12*x^9-154*q^13*x^9-61*q^14*x^9-30*q^15*x^9-9*q^16*x^9-3*q^17*x^9-11*q^-20*x^10-38*q^-19*x^10-126*q^-18*x^10-331*q^-17*x^10-770*q^-16*x^10-1756*q^-15*x^10-3734*q^-14*x^10-7347*q^-13*x^10-13725*q^-12*x^10-24927*q^-11*x^10-42121*q^-10*x^10-69118*q^-9*x^10-107239*q^-8*x^10-159624*q^-7*x^10-224396*q^-6*x^10-301812*q^-5*x^10-379103*q^-4*x^10-447830*q^-3*x^10-486259*q^-2*x^10-487465*q^-1*x^10-444073*x^10-373331*q*x^10-284744*q^2*x^10-210013*q^3*x^10-149852*q^4*x^10-106156*q^5*x^10-73147*q^6*x^10-49883*q^7*x^10-32470*q^8*x^10-21041*q^9*x^10-13122*q^10*x^10-8124*q^11*x^10-4864*q^12*x^10-2938*q^13*x^10-1640*q^14*x^10-940*q^15*x^10-514*q^16*x^10-267*q^17*x^10-128*q^18*x^10-63*q^19*x^10-28*q^20*x^10-9*q^21*x^10-3*q^22*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_531 | [1, 2, 2, 3, 1, 3, -2, -2, -2, 1, -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] | -x^3-3*x^4+2*q^-1*x^5-6*x^5+3*q*x^5+q^-2*x^6+6*q^-1*x^6-10*x^6+9*q*x^6+3*q^2*x^6-q^-3*x^7+2*q^-2*x^7+11*q^-1*x^7-21*x^7+17*q*x^7+7*q^2*x^7-2*q^3*x^7-q^4*x^7-q^-5*x^8+2*q^-4*x^8-4*q^-3*x^8+3*q^-2*x^8+14*q^-1*x^8-41*x^8+21*q*x^8+11*q^2*x^8-10*q^3*x^8-5*q^4*x^8-5*q^5*x^8-q^6*x^8-q^-7*x^9+q^-6*x^9+2*q^-5*x^9+8*q^-4*x^9-9*q^-3*x^9+8*q^-2*x^9+19*q^-1*x^9-69*x^9+26*q*x^9+21*q^2*x^9-21*q^3*x^9-11*q^4*x^9-12*q^5*x^9-3*q^7*x^9+q^8*x^9-7*q^-7*x^10+10*q^-6*x^10+11*q^-5*x^10+16*q^-4*x^10-20*q^-3*x^10+20*q^-2*x^10+32*q^-1*x^10-99*x^10+40*q*x^10+51*q^2*x^10-24*q^3*x^10-8*q^4*x^10-13*q^5*x^10+17*q^6*x^10-2*q^7*x^10+7*q^8*x^10+4*q^9*x^10+3*q^10*x^10+2*q^11*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12n_533 | [1, -2, 1, 2, 3, 3, -2, -2, 3, -2, -2, 3, 3] | [-1, 1, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1, -1, 1] | -q*x^3-3*q*x^4+2*x^5-6*q*x^5+2*q^-1*x^6+6*x^6-10*q*x^6-2*q^3*x^6-2*q^-2*x^7+5*q^-1*x^7+12*x^7-15*q*x^7-6*q^3*x^7-q^4*x^7-2*q^-4*x^8-5*q^-3*x^8-8*q^-2*x^8+9*q^-1*x^8+20*x^8-19*q*x^8+4*q^2*x^8-12*q^3*x^8-3*q^4*x^8-q^5*x^8-2*q^-6*x^9+4*q^-5*x^9-11*q^-4*x^9-16*q^-3*x^9-18*q^-2*x^9+14*q^-1*x^9+31*x^9-18*q*x^9+14*q^2*x^9-18*q^3*x^9-7*q^4*x^9-3*q^5*x^9-3*q^6*x^9-3*q^7*x^9+4*q^-7*x^10+8*q^-6*x^10+10*q^-5*x^10-27*q^-4*x^10-33*q^-3*x^10-34*q^-2*x^10+15*q^-1*x^10+39*x^10-14*q*x^10+32*q^2*x^10-24*q^3*x^10-11*q^4*x^10-7*q^5*x^10-9*q^6*x^10-14*q^7*x^10-2*q^8*x^10-q^9*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12a_535 | [1, -2, 3, -4, -2, -4, 1, -4, 1, 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] | -q^-1*x^3-6*q^-1*x^4+2*q^-2*x^5-21*q^-1*x^5-2*x^5+4*q^-3*x^6+12*q^-2*x^6-56*q^-1*x^6-12*x^6-6*q*x^6+6*q^-4*x^7+23*q^-3*x^7+46*q^-2*x^7-122*q^-1*x^7-42*x^7-34*q*x^7-16*q^2*x^7-5*q^3*x^7-4*q^-6*x^8+10*q^-5*x^8+32*q^-4*x^8+88*q^-3*x^8+144*q^-2*x^8-218*q^-1*x^8-100*x^8-114*q*x^8-86*q^2*x^8-64*q^3*x^8-22*q^4*x^8-12*q^5*x^8-9*q^-8*x^9-12*q^-7*x^9-11*q^-6*x^9+50*q^-5*x^9+118*q^-4*x^9+271*q^-3*x^9+406*q^-2*x^9-294*q^-1*x^9-154*x^9-254*q*x^9-265*q^2*x^9-279*q^3*x^9-193*q^4*x^9-129*q^5*x^9-54*q^6*x^9-26*q^7*x^9-7*q^8*x^9-12*q^-10*x^10-28*q^-9*x^10-84*q^-8*x^10-66*q^-7*x^10-34*q^-6*x^10+164*q^-5*x^10+348*q^-4*x^10+736*q^-3*x^10+1054*q^-2*x^10-158*q^-1*x^10-22*x^10-330*q*x^10-498*q^2*x^10-744*q^3*x^10-730*q^4*x^10-688*q^5*x^10-440*q^6*x^10-304*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 |
| 12a_536 | [-1, 2, -3, 4, -1, 2, 4, 4, 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] | -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^6-56*q^2*x^6+12*q^3*x^6+4*q^4*x^6-6*q^-2*x^7-21*q^-1*x^7-64*x^7-84*q*x^7-118*q^2*x^7+48*q^3*x^7+23*q^4*x^7+8*q^5*x^7-14*q^-4*x^8-22*q^-3*x^8-76*q^-2*x^8-144*q^-1*x^8-234*x^8-204*q*x^8-186*q^2*x^8+164*q^3*x^8+96*q^4*x^8+44*q^5*x^8+14*q^6*x^8-4*q^7*x^8-8*q^-7*x^9-29*q^-6*x^9-55*q^-5*x^9-141*q^-4*x^9-213*q^-3*x^9-419*q^-2*x^9-538*q^-1*x^9-592*x^9-322*q*x^9-132*q^2*x^9+526*q^3*x^9+337*q^4*x^9+176*q^5*x^9+70*q^6*x^9-7*q^7*x^9-14*q^8*x^9-9*q^9*x^9-18*q^-10*x^10-30*q^-9*x^10-86*q^-8*x^10-170*q^-7*x^10-324*q^-6*x^10-476*q^-5*x^10-806*q^-4*x^10-1048*q^-3*x^10-1432*q^-2*x^10-1342*q^-1*x^10-974*x^10-36*q*x^10+536*q^2*x^10+1592*q^3*x^10+1068*q^4*x^10+576*q^5*x^10+234*q^6*x^10-38*q^7*x^10-80*q^8*x^10-88*q^9*x^10-28*q^10*x^10-12*q^11*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_536 | [1, -2, -2, -3, 2, -1, -1, 2, 2, 1, 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, 1, 1] | -x^2-q^-2*x^3-5*x^3-q^-6*x^4-q^-3*x^4-5*q^-2*x^4+q^-1*x^4-15*x^4-2*q*x^4-q^-12*x^5-q^-8*x^5-q^-7*x^5-5*q^-6*x^5+2*q^-5*x^5+2*q^-4*x^5-6*q^-3*x^5-18*q^-2*x^5+3*q^-1*x^5-34*x^5-10*q*x^5-5*q^2*x^5-q^-20*x^6-q^-15*x^6-q^-14*x^6-q^-13*x^6-5*q^-12*x^6+2*q^-11*x^6+q^-10*x^6+2*q^-9*x^6-5*q^-8*x^6-6*q^-7*x^6-14*q^-6*x^6+11*q^-5*x^6+10*q^-4*x^6-27*q^-3*x^6-54*q^-2*x^6+2*q^-1*x^6-67*x^6-31*q*x^6-26*q^2*x^6-10*q^3*x^6-3*q^4*x^6-q^-30*x^7-q^-24*x^7-q^-23*x^7-q^-22*x^7-q^-21*x^7-5*q^-20*x^7+2*q^-19*x^7+q^-18*x^7+q^-17*x^7+q^-16*x^7-5*q^-15*x^7-5*q^-14*x^7-4*q^-13*x^7-13*q^-12*x^7+11*q^-11*x^7+13*q^-10*x^7+13*q^-9*x^7-20*q^-8*x^7-33*q^-7*x^7-36*q^-6*x^7+39*q^-5*x^7+24*q^-4*x^7-81*q^-3*x^7-150*q^-2*x^7-24*q^-1*x^7-128*x^7-78*q*x^7-88*q^2*x^7-55*q^3*x^7-34*q^4*x^7-10*q^5*x^7-7*q^6*x^7-q^-42*x^8-q^-35*x^8-q^-34*x^8-q^-33*x^8-q^-32*x^8-q^-31*x^8-5*q^-30*x^8+2*q^-29*x^8+q^-28*x^8+q^-27*x^8+q^-25*x^8-6*q^-24*x^8-5*q^-23*x^8-3*q^-22*x^8-3*q^-21*x^8-11*q^-20*x^8+12*q^-19*x^8+12*q^-18*x^8+11*q^-17*x^8+8*q^-16*x^8-17*q^-15*x^8-28*q^-14*x^8-23*q^-13*x^8-25*q^-12*x^8+56*q^-11*x^8+73*q^-10*x^8+46*q^-9*x^8-90*q^-8*x^8-146*q^-7*x^8-100*q^-6*x^8+93*q^-5*x^8+62*q^-4*x^8-205*q^-3*x^8-378*q^-2*x^8-149*q^-1*x^8-269*x^8-188*q*x^8-244*q^2*x^8-204*q^3*x^8-159*q^4*x^8-88*q^5*x^8-61*q^6*x^8-25*q^7*x^8-14*q^8*x^8-4*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-q^-43*x^9-5*q^-42*x^9+2*q^-41*x^9+q^-40*x^9+q^-39*x^9-6*q^-35*x^9-6*q^-34*x^9-3*q^-33*x^9-2*q^-32*x^9-q^-31*x^9-10*q^-30*x^9+13*q^-29*x^9+13*q^-28*x^9+10*q^-27*x^9+5*q^-26*x^9+7*q^-25*x^9-21*q^-24*x^9-23*q^-23*x^9-15*q^-22*x^9-11*q^-21*x^9-9*q^-20*x^9+59*q^-19*x^9+73*q^-18*x^9+66*q^-17*x^9+24*q^-16*x^9-86*q^-15*x^9-149*q^-14*x^9-115*q^-13*x^9-20*q^-12*x^9+251*q^-11*x^9+291*q^-10*x^9+97*q^-9*x^9-367*q^-8*x^9-528*q^-7*x^9-336*q^-6*x^9+182*q^-5*x^9+166*q^-4*x^9-418*q^-3*x^9-891*q^-2*x^9-564*q^-1*x^9-671*x^9-486*q*x^9-617*q^2*x^9-618*q^3*x^9-577*q^4*x^9-404*q^5*x^9-325*q^6*x^9-194*q^7*x^9-138*q^8*x^9-74*q^9*x^9-40*q^10*x^9-14*q^11*x^9-9*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-q^-57*x^10-5*q^-56*x^10+2*q^-55*x^10+q^-54*x^10+q^-53*x^10-q^-50*x^10-7*q^-48*x^10-6*q^-47*x^10-4*q^-46*x^10-2*q^-45*x^10-9*q^-42*x^10+14*q^-41*x^10+14*q^-40*x^10+10*q^-39*x^10+4*q^-38*x^10+4*q^-37*x^10+2*q^-36*x^10-20*q^-35*x^10-25*q^-34*x^10-9*q^-33*x^10-2*q^-32*x^10+8*q^-31*x^10-q^-30*x^10+66*q^-29*x^10+74*q^-28*x^10+61*q^-27*x^10+31*q^-26*x^10+6*q^-25*x^10-94*q^-24*x^10-131*q^-23*x^10-105*q^-22*x^10-43*q^-21*x^10+68*q^-20*x^10+292*q^-19*x^10+367*q^-18*x^10+272*q^-17*x^10-6*q^-16*x^10-457*q^-15*x^10-686*q^-14*x^10-467*q^-13*x^10+108*q^-12*x^10+948*q^-11*x^10+953*q^-10*x^10+133*q^-9*x^10-1236*q^-8*x^10-1726*q^-7*x^10-1122*q^-6*x^10+214*q^-5*x^10+447*q^-4*x^10-698*q^-3*x^10-1898*q^-2*x^10-1717*q^-1*x^10-1842*x^10-1414*q*x^10-1563*q^2*x^10-1672*q^3*x^10-1766*q^4*x^10-1490*q^5*x^10-1290*q^6*x^10-956*q^7*x^10-753*q^8*x^10-524*q^9*x^10-365*q^10*x^10-214*q^11*x^10-144*q^12*x^10-67*q^13*x^10-34*q^14*x^10-18*q^15*x^10-5*q^16*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12n_538 | [1, -2, 1, 2, 3, 3, -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] | -q^2*x^3-4*q^2*x^4-10*q^2*x^5+2*x^6-21*q^2*x^6-2*q^4*x^6+7*q^-1*x^7+8*x^7-2*q*x^7-39*q^2*x^7-3*q^3*x^7-8*q^4*x^7-q^5*x^7+16*q^-2*x^8+28*q^-1*x^8+17*x^8-8*q*x^8-69*q^2*x^8-12*q^3*x^8-23*q^4*x^8-4*q^5*x^8-2*q^6*x^8-3*q^-5*x^9-q^-4*x^9+30*q^-3*x^9+66*q^-2*x^9+68*q^-1*x^9+28*x^9-19*q*x^9-113*q^2*x^9-34*q^3*x^9-54*q^4*x^9-12*q^5*x^9-8*q^6*x^9-5*q^7*x^9-3*q^8*x^9-10*q^-7*x^10-14*q^-6*x^10-16*q^-5*x^10+50*q^-4*x^10+131*q^-3*x^10+170*q^-2*x^10+136*q^-1*x^10+54*x^10-22*q*x^10-174*q^2*x^10-81*q^3*x^10-113*q^4*x^10-31*q^5*x^10-26*q^6*x^10-24*q^7*x^10-19*q^8*x^10-2*q^9*x^10-q^10*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12n_539 | [1, 2, 2, 3, 1, 3, -2, -2, 1, -2, 1, -2, -3] | [-1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1] | -q*x^3-4*q*x^4+x^5-10*q*x^5+3*q^2*x^5+q^-1*x^6+4*x^6-20*q*x^6+12*q^2*x^6+2*q^3*x^6-2*q^-2*x^7+4*q^-1*x^7+9*x^7-38*q*x^7+30*q^2*x^7+6*q^3*x^7-4*q^4*x^7-q^5*x^7-q^-4*x^8-7*q^-3*x^8-8*q^-2*x^8+11*q^-1*x^8+13*x^8-69*q*x^8+59*q^2*x^8+10*q^3*x^8-20*q^4*x^8-7*q^5*x^8-3*q^6*x^8-q^7*x^8-q^-6*x^9+2*q^-5*x^9-18*q^-4*x^9-27*q^-3*x^9-12*q^-2*x^9+30*q^-1*x^9+13*x^9-117*q*x^9+105*q^2*x^9+18*q^3*x^9-58*q^4*x^9-22*q^5*x^9-11*q^6*x^9+4*q^7*x^9-q^8*x^9+q^9*x^9+2*q^-7*x^10+5*q^-6*x^10-14*q^-5*x^10-67*q^-4*x^10-46*q^-3*x^10+15*q^-2*x^10+77*q^-1*x^10+6*x^10-186*q*x^10+185*q^2*x^10+40*q^3*x^10-122*q^4*x^10-47*q^5*x^10-17*q^6*x^10+29*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 |
| 12a_541 | [-1, 2, -3, 4, -1, 2, -3, 2, 4, 2, 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^6-56*q^2*x^6+12*q^3*x^6-6*q^-2*x^7-21*q^-1*x^7-64*x^7-84*q*x^7-118*q^2*x^7+42*q^3*x^7-q^4*x^7-6*q^5*x^7-14*q^-4*x^8-22*q^-3*x^8-76*q^-2*x^8-144*q^-1*x^8-234*x^8-204*q*x^8-204*q^2*x^8+112*q^3*x^8-14*q^4*x^8-36*q^5*x^8-10*q^6*x^8-8*q^-7*x^9-29*q^-6*x^9-55*q^-5*x^9-141*q^-4*x^9-213*q^-3*x^9-419*q^-2*x^9-538*q^-1*x^9-602*x^9-376*q*x^9-294*q^2*x^9+224*q^3*x^9-93*q^4*x^9-148*q^5*x^9-54*q^6*x^9-14*q^7*x^9+6*q^8*x^9-18*q^-10*x^10-30*q^-9*x^10-86*q^-8*x^10-170*q^-7*x^10-324*q^-6*x^10-476*q^-5*x^10-806*q^-4*x^10-1048*q^-3*x^10-1456*q^-2*x^10-1408*q^-1*x^10-1196*x^10-554*q*x^10-426*q^2*x^10+258*q^3*x^10-436*q^4*x^10-500*q^5*x^10-208*q^6*x^10-66*q^7*x^10+18*q^8*x^10+10*q^9*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_542 | [-1, 2, -3, 4, -1, 2, -3, -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^-1*x^2-8*q^-1*x^3-4*q^-2*x^4-36*q^-1*x^4-4*x^4-8*q^-3*x^5-32*q^-2*x^5-132*q^-1*x^5-32*x^5-7*q*x^5-4*q^-5*x^6-12*q^-4*x^6-70*q^-3*x^6-177*q^-2*x^6-442*q^-1*x^6-175*x^6-56*q*x^6-5*q^2*x^6-10*q^3*x^6-8*q^-7*x^7-8*q^-6*x^7-48*q^-5*x^7-132*q^-4*x^7-422*q^-3*x^7-812*q^-2*x^7-1453*q^-1*x^7-776*x^7-323*q*x^7-51*q^2*x^7-48*q^3*x^7-45*q^4*x^7-26*q^5*x^7-4*q^-10*x^8-12*q^-9*x^8-16*q^-8*x^8-76*q^-7*x^8-120*q^-6*x^8-398*q^-5*x^8-932*q^-4*x^8-2108*q^-3*x^8-3391*q^-2*x^8-4813*q^-1*x^8-3101*x^8-1525*q*x^8-365*q^2*x^8-180*q^3*x^8-238*q^4*x^8-309*q^5*x^8-139*q^6*x^8-65*q^7*x^8-16*q^8*x^8-8*q^-13*x^9-8*q^-12*x^9-24*q^-11*x^9-56*q^-10*x^9-132*q^-9*x^9-216*q^-8*x^9-588*q^-7*x^9-1086*q^-6*x^9-2656*q^-5*x^9-5252*q^-4*x^9-9505*q^-3*x^9-13368*q^-2*x^9-16249*q^-1*x^9-11669*x^9-6414*q*x^9-2010*q^2*x^9-678*q^3*x^9-860*q^4*x^9-1585*q^5*x^9-1432*q^6*x^9-962*q^7*x^9-494*q^8*x^9-214*q^9*x^9-80*q^10*x^9-39*q^11*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^10-132*q^-12*x^10-288*q^-11*x^10-542*q^-10*x^10-1098*q^-9*x^10-1915*q^-8*x^10-4114*q^-7*x^10-7625*q^-6*x^10-15157*q^-5*x^10-25961*q^-4*x^10-40095*q^-3*x^10-50954*q^-2*x^10-55764*q^-1*x^10-42393*x^10-25034*q*x^10-9307*q^2*x^10-2657*q^3*x^10-2504*q^4*x^10-6097*q^5*x^10-7771*q^6*x^10-7390*q^7*x^10-5217*q^8*x^10-3193*q^9*x^10-1729*q^10*x^10-939*q^11*x^10-425*q^12*x^10-217*q^13*x^10-95*q^14*x^10-23*q^15*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_543 | [1, -2, -3, -3, -2, 1, -2, 3, -1, -1, -1, -2, 1] | [1, 1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] | -q^-1*x^2-3*q^-1*x^3-q*x^3-6*q^-1*x^4+3*x^4-3*q*x^4+q^2*x^4+q^4*x^4-q^5*x^4-7*q^-1*x^5+9*x^5-4*q*x^5+4*q^2*x^5+4*q^3*x^5+5*q^4*x^5+2*q^5*x^5+q^6*x^5-q^7*x^5+q^8*x^5+q^9*x^5-q^11*x^5+3*q^-2*x^6-6*q^-1*x^6+18*x^6-6*q*x^6+11*q^2*x^6+13*q^3*x^6+11*q^4*x^6+9*q^5*x^6+13*q^6*x^6-3*q^7*x^6+2*q^8*x^6+7*q^9*x^6+6*q^10*x^6-2*q^11*x^6+q^12*x^6-q^13*x^6-q^14*x^6+q^15*x^6+q^16*x^6-q^19*x^6+3*q^-3*x^7+9*q^-2*x^7-4*q^-1*x^7+22*x^7-11*q*x^7+19*q^2*x^7+23*q^3*x^7+9*q^4*x^7+15*q^5*x^7+25*q^6*x^7-3*q^7*x^7-11*q^8*x^7+6*q^9*x^7+18*q^10*x^7+2*q^11*x^7-5*q^13*x^7-6*q^14*x^7+2*q^15*x^7+q^16*x^7+4*q^17*x^7+4*q^18*x^7-2*q^21*x^7-q^22*x^7+q^24*x^7+q^25*x^7-q^29*x^7+3*q^-4*x^8+9*q^-3*x^8+14*q^-2*x^8-12*q^-1*x^8+15*x^8-22*q*x^8+23*q^2*x^8+21*q^3*x^8-18*q^4*x^8+2*q^5*x^8+25*q^6*x^8-22*q^7*x^8-58*q^8*x^8-38*q^9*x^8+8*q^10*x^8+4*q^11*x^8-19*q^12*x^8-43*q^13*x^8-41*q^14*x^8-16*q^15*x^8-17*q^16*x^8-7*q^17*x^8-2*q^18*x^8+3*q^19*x^8+5*q^20*x^8-3*q^21*x^8-11*q^22*x^8-7*q^23*x^8+3*q^25*x^8+5*q^26*x^8+4*q^27*x^8+5*q^28*x^8-q^30*x^8-2*q^31*x^8-q^32*x^8+q^35*x^8+q^36*x^8-q^41*x^8+3*q^-5*x^9+6*q^-4*x^9+15*q^-3*x^9+4*q^-2*x^9-39*q^-1*x^9-4*x^9-34*q*x^9+19*q^2*x^9-7*q^3*x^9-87*q^4*x^9-31*q^5*x^9+9*q^6*x^9-68*q^7*x^9-169*q^8*x^9-143*q^9*x^9-46*q^10*x^9-4*q^11*x^9-52*q^12*x^9-144*q^13*x^9-162*q^14*x^9-90*q^15*x^9-76*q^16*x^9-56*q^17*x^9-63*q^18*x^9-37*q^19*x^9-14*q^20*x^9-3*q^21*x^9-34*q^22*x^9-44*q^23*x^9-40*q^24*x^9-27*q^25*x^9-7*q^26*x^9+12*q^27*x^9+16*q^28*x^9+9*q^29*x^9+6*q^30*x^9-5*q^31*x^9-6*q^32*x^9-4*q^33*x^9-7*q^34*x^9+2*q^36*x^9+6*q^37*x^9+5*q^38*x^9+6*q^39*x^9+5*q^40*x^9-2*q^41*x^9-q^42*x^9-2*q^43*x^9-q^44*x^9+q^48*x^9+q^49*x^9-q^55*x^9+6*q^-5*x^10+8*q^-4*x^10+5*q^-3*x^10-34*q^-2*x^10-76*q^-1*x^10-12*x^10-28*q*x^10+4*q^2*x^10-68*q^3*x^10-179*q^4*x^10-45*q^5*x^10+23*q^6*x^10-111*q^7*x^10-323*q^8*x^10-284*q^9*x^10-70*q^10*x^10+71*q^11*x^10-16*q^12*x^10-230*q^13*x^10-359*q^14*x^10-215*q^15*x^10-110*q^16*x^10-33*q^17*x^10-105*q^18*x^10-108*q^19*x^10-65*q^20*x^10+26*q^21*x^10+4*q^22*x^10-19*q^23*x^10-104*q^24*x^10-119*q^25*x^10-94*q^26*x^10-8*q^27*x^10+38*q^28*x^10+49*q^29*x^10+41*q^30*x^10+6*q^31*x^10-21*q^32*x^10-22*q^33*x^10-36*q^34*x^10-25*q^35*x^10-32*q^36*x^10-8*q^37*x^10+2*q^38*x^10+16*q^39*x^10+24*q^40*x^10+14*q^41*x^10+7*q^42*x^10-2*q^43*x^10-8*q^44*x^10-4*q^45*x^10-8*q^46*x^10-8*q^47*x^10+3*q^49*x^10+7*q^50*x^10+6*q^51*x^10+6*q^52*x^10+5*q^53*x^10+3*q^54*x^10-2*q^55*x^10-q^56*x^10-2*q^57*x^10-q^58*x^10+q^63*x^10+q^64*x^10-q^71*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12n_548 | [1, -2, 1, -3, -3, 2, -3, 2, -1, -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] | -x^2-6*x^3-q^2*x^3-4*q^-1*x^4-21*x^4-2*q*x^4-6*q^2*x^4-2*q^3*x^4-q^6*x^4-11*q^-2*x^5-24*q^-1*x^5-65*x^5-16*q*x^5-31*q^2*x^5-14*q^3*x^5-3*q^4*x^5-6*q^6*x^5-2*q^7*x^5-2*q^8*x^5-q^12*x^5-7*q^-4*x^6-26*q^-3*x^6-71*q^-2*x^6-116*q^-1*x^6-197*x^6-98*q*x^6-132*q^2*x^6-82*q^3*x^6-30*q^4*x^6-10*q^5*x^6-27*q^6*x^6-18*q^7*x^6-15*q^8*x^6-4*q^9*x^6-3*q^10*x^6-6*q^12*x^6-2*q^13*x^6-2*q^14*x^6-2*q^15*x^6-q^20*x^6-17*q^-6*x^7-30*q^-5*x^7-103*q^-4*x^7-197*q^-3*x^7-370*q^-2*x^7-485*q^-1*x^7-660*x^7-474*q*x^7-548*q^2*x^7-392*q^3*x^7-213*q^4*x^7-106*q^5*x^7-139*q^6*x^7-110*q^7*x^7-93*q^8*x^7-42*q^9*x^7-28*q^10*x^7-12*q^11*x^7-31*q^12*x^7-18*q^13*x^7-19*q^14*x^7-16*q^15*x^7-7*q^16*x^7-4*q^17*x^7-3*q^18*x^7-6*q^20*x^7-2*q^21*x^7-2*q^22*x^7-2*q^23*x^7-2*q^24*x^7-q^30*x^7-10*q^-9*x^8-38*q^-8*x^8-81*q^-7*x^8-207*q^-6*x^8-374*q^-5*x^8-724*q^-4*x^8-1146*q^-3*x^8-1676*q^-2*x^8-2017*q^-1*x^8-2396*x^8-2123*q*x^8-2219*q^2*x^8-1764*q^3*x^8-1186*q^4*x^8-772*q^5*x^8-732*q^6*x^8-627*q^7*x^8-528*q^8*x^8-314*q^9*x^8-207*q^10*x^8-131*q^11*x^8-169*q^12*x^8-134*q^13*x^8-132*q^14*x^8-107*q^15*x^8-70*q^16*x^8-48*q^17*x^8-34*q^18*x^8-18*q^19*x^8-33*q^20*x^8-22*q^21*x^8-19*q^22*x^8-20*q^23*x^8-19*q^24*x^8-8*q^25*x^8-7*q^26*x^8-4*q^27*x^8-3*q^28*x^8-6*q^30*x^8-2*q^31*x^8-2*q^32*x^8-2*q^33*x^8-2*q^34*x^8-2*q^35*x^8-q^42*x^8-23*q^-12*x^9-42*q^-11*x^9-129*q^-10*x^9-267*q^-9*x^9-558*q^-8*x^9-954*q^-7*x^9-1739*q^-6*x^9-2672*q^-5*x^9-4194*q^-4*x^9-5696*q^-3*x^9-7343*q^-2*x^9-8366*q^-1*x^9-9391*x^9-9049*q*x^9-9066*q^2*x^9-7676*q^3*x^9-5940*q^4*x^9-4452*q^5*x^9-3926*q^6*x^9-3347*q^7*x^9-2856*q^8*x^9-1988*q^9*x^9-1408*q^10*x^9-992*q^11*x^9-985*q^12*x^9-861*q^13*x^9-825*q^14*x^9-684*q^15*x^9-520*q^16*x^9-376*q^17*x^9-286*q^18*x^9-203*q^19*x^9-218*q^20*x^9-178*q^21*x^9-160*q^22*x^9-149*q^23*x^9-140*q^24*x^9-90*q^25*x^9-80*q^26*x^9-56*q^27*x^9-42*q^28*x^9-24*q^29*x^9-39*q^30*x^9-24*q^31*x^9-23*q^32*x^9-20*q^33*x^9-23*q^34*x^9-20*q^35*x^9-11*q^36*x^9-8*q^37*x^9-7*q^38*x^9-4*q^39*x^9-3*q^40*x^9-6*q^42*x^9-2*q^43*x^9-2*q^44*x^9-2*q^45*x^9-2*q^46*x^9-2*q^47*x^9-2*q^48*x^9-q^56*x^9-13*q^-16*x^10-50*q^-15*x^10-109*q^-14*x^10-242*q^-13*x^10-546*q^-12*x^10-970*q^-11*x^10-1805*q^-10*x^10-3023*q^-9*x^10-4942*q^-8*x^10-7515*q^-7*x^10-11318*q^-6*x^10-15768*q^-5*x^10-21389*q^-4*x^10-26666*q^-3*x^10-31764*q^-2*x^10-35307*q^-1*x^10-38261*x^10-38100*q*x^10-37382*q^2*x^10-33225*q^3*x^10-27933*q^4*x^10-23012*q^5*x^10-20127*q^6*x^10-17353*q^7*x^10-14810*q^8*x^10-11434*q^9*x^10-8670*q^10*x^10-6561*q^11*x^10-5826*q^12*x^10-5188*q^13*x^10-4837*q^14*x^10-4160*q^15*x^10-3376*q^16*x^10-2604*q^17*x^10-2045*q^18*x^10-1601*q^19*x^10-1465*q^20*x^10-1282*q^21*x^10-1163*q^22*x^10-1059*q^23*x^10-956*q^24*x^10-744*q^25*x^10-638*q^26*x^10-499*q^27*x^10-395*q^28*x^10-299*q^29*x^10-302*q^30*x^10-234*q^31*x^10-213*q^32*x^10-185*q^33*x^10-186*q^34*x^10-163*q^35*x^10-127*q^36*x^10-102*q^37*x^10-90*q^38*x^10-68*q^39*x^10-50*q^40*x^10-32*q^41*x^10-45*q^42*x^10-30*q^43*x^10-25*q^44*x^10-24*q^45*x^10-23*q^46*x^10-24*q^47*x^10-23*q^48*x^10-12*q^49*x^10-11*q^50*x^10-8*q^51*x^10-7*q^52*x^10-4*q^53*x^10-3*q^54*x^10-6*q^56*x^10-2*q^57*x^10-2*q^58*x^10-2*q^59*x^10-2*q^60*x^10-2*q^61*x^10-2*q^62*x^10-2*q^63*x^10-q^72*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12n_549 | [1, -2, 1, 2, -3, 2, 2, 3, 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*x^2+q^-1*x^3-3*q*x^3+3*q^-2*x^4+3*q^-1*x^4-6*q*x^4-q^-9*x^5-3*q^-6*x^5+3*q^-3*x^5+9*q^-2*x^5+7*q^-1*x^5-10*q*x^5+q^-15*x^6-3*q^-10*x^6-3*q^-9*x^6-3*q^-8*x^6-6*q^-7*x^6-9*q^-6*x^6-q^-5*x^6+3*q^-4*x^6+9*q^-3*x^6+21*q^-2*x^6+13*q^-1*x^6-15*q*x^6+3*q^-18*x^7+3*q^-17*x^7+3*q^-16*x^7+3*q^-15*x^7+3*q^-14*x^7+3*q^-13*x^7-6*q^-11*x^7-12*q^-10*x^7-9*q^-9*x^7-18*q^-8*x^7-21*q^-7*x^7-24*q^-6*x^7+9*q^-4*x^7+21*q^-3*x^7+39*q^-2*x^7+24*q^-1*x^7-21*q*x^7-q^-31*x^8-3*q^-26*x^8-3*q^-25*x^8+3*q^-20*x^8+12*q^-19*x^8+18*q^-18*x^8+19*q^-17*x^8+12*q^-16*x^8+15*q^-15*x^8+16*q^-14*x^8+12*q^-13*x^8-10*q^-12*x^8-21*q^-11*x^8-30*q^-10*x^8-34*q^-9*x^8-54*q^-8*x^8-57*q^-7*x^8-48*q^-6*x^8+21*q^-4*x^8+39*q^-3*x^8+66*q^-2*x^8+40*q^-1*x^8+3*x^8-28*q*x^8+q^2*x^8+q^-41*x^9-3*q^-33*x^9-3*q^-32*x^9-3*q^-31*x^9-3*q^-30*x^9-6*q^-29*x^9-12*q^-28*x^9-15*q^-27*x^9-18*q^-26*x^9-13*q^-25*x^9-6*q^-23*x^9+2*q^-22*x^9+12*q^-21*x^9+39*q^-20*x^9+60*q^-19*x^9+67*q^-18*x^9+57*q^-17*x^9+45*q^-16*x^9+58*q^-15*x^9+54*q^-14*x^9+21*q^-13*x^9-30*q^-12*x^9-51*q^-11*x^9-78*q^-10*x^9-90*q^-9*x^9-132*q^-8*x^9-123*q^-7*x^9-93*q^-6*x^9-q^-5*x^9+36*q^-4*x^9+66*q^-3*x^9+101*q^-2*x^9+64*q^-1*x^9+9*x^9-33*q*x^9+3*q^2*x^9+3*q^3*x^9+3*q^-46*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+6*q^-39*x^10+9*q^-38*x^10+3*q^-37*x^10-6*q^-35*x^10-9*q^-34*x^10-18*q^-33*x^10-15*q^-32*x^10-27*q^-31*x^10-45*q^-30*x^10-69*q^-29*x^10-81*q^-28*x^10-72*q^-27*x^10-60*q^-26*x^10-39*q^-25*x^10-15*q^-24*x^10-12*q^-23*x^10+27*q^-22*x^10+90*q^-21*x^10+156*q^-20*x^10+189*q^-19*x^10+174*q^-18*x^10+159*q^-17*x^10+147*q^-16*x^10+174*q^-15*x^10+129*q^-14*x^10+45*q^-13*x^10-60*q^-12*x^10-117*q^-11*x^10-174*q^-10*x^10-207*q^-9*x^10-270*q^-8*x^10-243*q^-7*x^10-171*q^-6*x^10-15*q^-5*x^10+54*q^-4*x^10+96*q^-3*x^10+144*q^-2*x^10+93*q^-1*x^10+21*x^10-36*q*x^10+9*q^2*x^10+9*q^3*x^10+6*q^4*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12n_552 | [-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] | -x^2-3*x^3+q^2*x^3-q^-1*x^4-6*x^4-q*x^4+3*q^2*x^4+q^3*x^4-q^5*x^4-2*q^-2*x^5-3*q^-1*x^5-9*x^5-2*q*x^5+4*q^2*x^5+3*q^3*x^5-2*q^5*x^5-q^6*x^5-q^7*x^5+q^9*x^5-q^-4*x^6-3*q^-3*x^6-6*q^-2*x^6-5*q^-1*x^6-11*x^6-3*q*x^6+4*q^2*x^6+2*q^3*x^6-2*q^4*x^6-3*q^5*x^6-4*q^7*x^6+3*q^9*x^6+q^11*x^6+q^12*x^6-q^14*x^6-2*q^-6*x^7-2*q^-5*x^7-7*q^-4*x^7-9*q^-3*x^7-10*q^-2*x^7-4*q^-1*x^7-11*x^7-4*q*x^7-8*q^3*x^7-15*q^4*x^7-5*q^5*x^7+3*q^6*x^7-3*q^7*x^7+q^8*x^7+8*q^9*x^7+q^10*x^7+3*q^12*x^7+q^13*x^7-3*q^14*x^7-q^15*x^7-q^17*x^7-q^18*x^7+q^20*x^7-q^-9*x^8-3*q^-8*x^8-4*q^-7*x^8-9*q^-6*x^8-11*q^-5*x^8-16*q^-4*x^8-14*q^-3*x^8-8*q^-2*x^8-q^-1*x^8-11*x^8-11*q*x^8-16*q^2*x^8-37*q^3*x^8-45*q^4*x^8-19*q^5*x^8+7*q^6*x^8+6*q^7*x^8+16*q^8*x^8+21*q^9*x^8+8*q^10*x^8-2*q^11*x^8-2*q^12*x^8+q^13*x^8-6*q^14*x^8-6*q^15*x^8-2*q^16*x^8-q^17*x^8-3*q^18*x^8+2*q^20*x^8+q^21*x^8+q^22*x^8+q^24*x^8+q^25*x^8-q^27*x^8-2*q^-12*x^9-2*q^-11*x^9-6*q^-10*x^9-9*q^-9*x^9-15*q^-8*x^9-15*q^-7*x^9-23*q^-6*x^9-21*q^-5*x^9-21*q^-4*x^9-11*q^-3*x^9-5*q^-2*x^9-4*q^-1*x^9-24*x^9-39*q*x^9-61*q^2*x^9-96*q^3*x^9-103*q^4*x^9-47*q^5*x^9+3*q^6*x^9+27*q^7*x^9+49*q^8*x^9+64*q^9*x^9+29*q^10*x^9-17*q^12*x^9-16*q^13*x^9-16*q^14*x^9-18*q^15*x^9-14*q^16*x^9-7*q^17*x^9+q^18*x^9+4*q^19*x^9+6*q^20*x^9+3*q^21*x^9+6*q^22*x^9+3*q^23*x^9+2*q^24*x^9+4*q^25*x^9-3*q^27*x^9-q^29*x^9-q^30*x^9-q^32*x^9-q^33*x^9+q^35*x^9-q^-16*x^10-3*q^-15*x^10-4*q^-14*x^10-7*q^-13*x^10-15*q^-12*x^10-17*q^-11*x^10-25*q^-10*x^10-28*q^-9*x^10-32*q^-8*x^10-29*q^-7*x^10-33*q^-6*x^10-27*q^-5*x^10-19*q^-4*x^10-19*q^-3*x^10-28*q^-2*x^10-43*q^-1*x^10-79*x^10-117*q*x^10-151*q^2*x^10-190*q^3*x^10-181*q^4*x^10-91*q^5*x^10-7*q^6*x^10+45*q^7*x^10+103*q^8*x^10+134*q^9*x^10+77*q^10*x^10+6*q^11*x^10-43*q^12*x^10-54*q^13*x^10-53*q^14*x^10-48*q^15*x^10-45*q^16*x^10-32*q^17*x^10+3*q^18*x^10+26*q^19*x^10+27*q^20*x^10+17*q^21*x^10+16*q^22*x^10+14*q^23*x^10+12*q^24*x^10+10*q^25*x^10-q^26*x^10-11*q^27*x^10-3*q^28*x^10-5*q^29*x^10-6*q^30*x^10-3*q^31*x^10-3*q^32*x^10-5*q^33*x^10-q^34*x^10+3*q^35*x^10+q^36*x^10+q^38*x^10+q^39*x^10+q^41*x^10+q^42*x^10-q^44*x^10 | 10 | 12 | 12 | Yes | 12 |