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_18 | [-1, 2, -1, 2, 3, 3, 3, -4, 3, -4, 3, -2, -2, -3] | [-1, -1, 1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1] | -q*x^3-6*q*x^4-3*x^5-21*q*x^5+2*q^2*x^5-6*q^-1*x^6-18*x^6-55*q*x^6+12*q^2*x^6+2*q^3*x^6-3*q^-3*x^7-9*q^-2*x^7-39*q^-1*x^7-61*x^7-114*q*x^7+45*q^2*x^7+11*q^3*x^7+2*q^4*x^7-6*q^-5*x^8-6*q^-4*x^8-30*q^-3*x^8-65*q^-2*x^8-140*q^-1*x^8-142*x^8-188*q*x^8+134*q^2*x^8+40*q^3*x^8+10*q^4*x^8+4*q^5*x^8-2*q^6*x^8-3*q^-8*x^9-9*q^-7*x^9-12*q^-6*x^9-45*q^-5*x^9-55*q^-4*x^9-161*q^-3*x^9-244*q^-2*x^9-346*q^-1*x^9-231*x^9-224*q*x^9+346*q^2*x^9+116*q^3*x^9+35*q^4*x^9+19*q^5*x^9-12*q^6*x^9-3*q^7*x^9-3*q^8*x^9-6*q^-11*x^10-6*q^-10*x^10-18*q^-9*x^10-36*q^-8*x^10-71*q^-7*x^10-92*q^-6*x^10-214*q^-5*x^10-281*q^-4*x^10-552*q^-3*x^10-611*q^-2*x^10-609*q^-1*x^10-185*x^10-81*q*x^10+804*q^2*x^10+293*q^3*x^10+99*q^4*x^10+49*q^5*x^10-56*q^6*x^10-33*q^7*x^10-24*q^8*x^10-4*q^9*x^10-2*q^10*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_18 | [-1, 2, -1, 2, 3, 3, 4, -5, -2, -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] | -x^2-7*x^3-4*q^-1*x^4-28*x^4+2*q*x^4-9*q^-2*x^5-28*q^-1*x^5-82*x^5+14*q*x^5+8*q^2*x^5-5*q^-4*x^6-16*q^-3*x^6-68*q^-2*x^6-109*q^-1*x^6-188*x^6+76*q*x^6+58*q^2*x^6+12*q^3*x^6-3*q^4*x^6-11*q^-6*x^7-14*q^-5*x^7-60*q^-4*x^7-133*q^-3*x^7-281*q^-2*x^7-290*q^-1*x^7-299*x^7+343*q*x^7+287*q^2*x^7+86*q^3*x^7-16*q^4*x^7-25*q^5*x^7-5*q^6*x^7-6*q^-9*x^8-20*q^-8*x^8-32*q^-7*x^8-104*q^-6*x^8-145*q^-5*x^8-371*q^-4*x^8-575*q^-3*x^8-777*q^-2*x^8-436*q^-1*x^8-31*x^8+1378*q*x^8+1117*q^2*x^8+378*q^3*x^8-105*q^4*x^8-215*q^5*x^8-103*q^6*x^8-34*q^7*x^8-2*q^8*x^8-q^9*x^8-13*q^-12*x^9-18*q^-11*x^9-50*q^-10*x^9-102*q^-9*x^9-203*q^-8*x^9-292*q^-7*x^9-593*q^-6*x^9-818*q^-5*x^9-1423*q^-4*x^9-1554*q^-3*x^9-1184*q^-2*x^9+597*q^-1*x^9+2285*x^9+4901*q*x^9+3661*q^2*x^9+1094*q^3*x^9-731*q^4*x^9-1297*q^5*x^9-847*q^6*x^9-367*q^7*x^9-58*q^8*x^9+2*q^9*x^9+15*q^10*x^9+5*q^11*x^9-2*q^12*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^10-261*q^-11*x^10-483*q^-10*x^10-729*q^-9*x^10-1161*q^-8*x^10-1499*q^-7*x^10-2404*q^-6*x^10-2803*q^-5*x^10-3326*q^-4*x^10-1654*q^-3*x^10+1836*q^-2*x^10+7827*q^-1*x^10+12126*x^10+15350*q*x^10+9886*q^2*x^10+1416*q^3*x^10-4649*q^4*x^10-6580*q^5*x^10-4843*q^6*x^10-2427*q^7*x^10-490*q^8*x^10+162*q^9*x^10+294*q^10*x^10+170*q^11*x^10+85*q^12*x^10+19*q^13*x^10+2*q^14*x^10-3*q^15*x^10-q^16*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12n_19 | [-1, 2, -1, 2, -3, -3, -4, 5, 2, 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] | -q*x^2-3*q*x^3+q^3*x^3-x^4-6*q*x^4-2*q^2*x^4+3*q^3*x^4-q^6*x^4-2*q^-1*x^5-3*x^5-11*q*x^5-5*q^2*x^5+6*q^3*x^5-q^5*x^5-q^6*x^5+q^10*x^5-q^-3*x^6-3*q^-2*x^6-6*q^-1*x^6-7*x^6-18*q*x^6-8*q^2*x^6+7*q^3*x^6-3*q^4*x^6-3*q^5*x^6-q^6*x^6+q^9*x^6+3*q^10*x^6-2*q^11*x^6-q^15*x^6-2*q^-5*x^7-2*q^-4*x^7-7*q^-3*x^7-9*q^-2*x^7-12*q^-1*x^7-14*x^7-26*q*x^7-14*q^2*x^7+2*q^3*x^7-13*q^4*x^7-7*q^5*x^7-2*q^7*x^7+9*q^9*x^7+8*q^10*x^7-7*q^11*x^7-2*q^12*x^7-3*q^15*x^7+2*q^17*x^7+q^21*x^7-q^-8*x^8-3*q^-7*x^8-4*q^-6*x^8-9*q^-5*x^8-11*q^-4*x^8-16*q^-3*x^8-17*q^-2*x^8-23*q^-1*x^8-23*x^8-40*q*x^8-34*q^2*x^8-19*q^3*x^8-34*q^4*x^8-14*q^5*x^8-3*q^6*x^8-5*q^7*x^8+6*q^8*x^8+28*q^9*x^8+19*q^10*x^8-18*q^11*x^8-12*q^12*x^8-2*q^13*x^8+q^14*x^8-8*q^15*x^8-3*q^16*x^8+7*q^17*x^8+2*q^18*x^8+q^19*x^8+2*q^21*x^8-2*q^24*x^8-q^28*x^8-2*q^-11*x^9-2*q^-10*x^9-6*q^-9*x^9-9*q^-8*x^9-15*q^-7*x^9-15*q^-6*x^9-23*q^-5*x^9-23*q^-4*x^9-26*q^-3*x^9-34*q^-2*x^9-41*q^-1*x^9-47*x^9-85*q*x^9-90*q^2*x^9-60*q^3*x^9-66*q^4*x^9-30*q^5*x^9-13*q^6*x^9-q^7*x^9+33*q^8*x^9+61*q^9*x^9+27*q^10*x^9-46*q^11*x^9-33*q^12*x^9-7*q^13*x^9+4*q^14*x^9-19*q^15*x^9-15*q^16*x^9+14*q^17*x^9+15*q^18*x^9+12*q^19*x^9+q^20*x^9+q^21*x^9-q^22*x^9-q^23*x^9-4*q^24*x^9-q^25*x^9-q^26*x^9-q^27*x^9-2*q^28*x^9+q^29*x^9+2*q^32*x^9+q^36*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^10-17*q^-10*x^10-25*q^-9*x^10-28*q^-8*x^10-33*q^-7*x^10-31*q^-6*x^10-39*q^-5*x^10-40*q^-4*x^10-56*q^-3*x^10-77*q^-2*x^10-101*q^-1*x^10-134*x^10-196*q*x^10-184*q^2*x^10-120*q^3*x^10-116*q^4*x^10-65*q^5*x^10-18*q^6*x^10+32*q^7*x^10+86*q^8*x^10+93*q^9*x^10+2*q^10*x^10-115*q^11*x^10-68*q^12*x^10-12*q^13*x^10+5*q^14*x^10-42*q^15*x^10-47*q^16*x^10+24*q^17*x^10+61*q^18*x^10+59*q^19*x^10+10*q^20*x^10-15*q^21*x^10-16*q^22*x^10-6*q^23*x^10-4*q^24*x^10-2*q^25*x^10-8*q^26*x^10-9*q^27*x^10-5*q^28*x^10+5*q^29*x^10+2*q^30*x^10+2*q^31*x^10+7*q^32*x^10-2*q^33*x^10+q^35*x^10+3*q^36*x^10-q^37*x^10-q^38*x^10-2*q^41*x^10-q^45*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12a_19 | [-1, 2, -1, 2, 3, -4, 3, -4, -4, -4, 3, -2, -2, -3] | [-1, -1, 1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1] | -q^-1*x^3-6*q^-1*x^4-q^-2*x^5-21*q^-1*x^5+2*x^5-4*q^-3*x^6-6*q^-2*x^6-55*q^-1*x^6+12*x^6+4*q*x^6-2*q^-5*x^7-8*q^-4*x^7-23*q^-3*x^7-19*q^-2*x^7-118*q^-1*x^7+47*x^7+23*q*x^7-4*q^-7*x^8-4*q^-6*x^8-22*q^-5*x^8-47*q^-4*x^8-74*q^-3*x^8-36*q^-2*x^8-208*q^-1*x^8+144*x^8+82*q*x^8-4*q^2*x^8-12*q^3*x^8-4*q^4*x^8-2*q^-10*x^9-6*q^-9*x^9-8*q^-8*x^9-28*q^-7*x^9-34*q^-6*x^9-106*q^-5*x^9-151*q^-4*x^9-156*q^-3*x^9-14*q^-2*x^9-286*q^-1*x^9+378*x^9+218*q*x^9-40*q^2*x^9-85*q^3*x^9-52*q^4*x^9+2*q^5*x^9-6*q^6*x^9-4*q^-13*x^10-4*q^-12*x^10-12*q^-11*x^10-24*q^-10*x^10-47*q^-9*x^10-50*q^-8*x^10-118*q^-7*x^10-153*q^-6*x^10-315*q^-5*x^10-312*q^-4*x^10-178*q^-3*x^10+197*q^-2*x^10-239*q^-1*x^10+856*x^10+440*q*x^10-223*q^2*x^10-382*q^3*x^10-272*q^4*x^10-32*q^5*x^10+4*q^6*x^10+4*q^7*x^10-4*q^8*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_20 | [1, 2, 2, -1, -3, 2, 1, 3, -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^-1*x^2-q^-3*x^3-3*q^-1*x^3-q^-7*x^4+q^-4*x^4-3*q^-3*x^4-6*q^-1*x^4-q^-13*x^5+q^-9*x^5+q^-8*x^5-3*q^-7*x^5-q^-6*x^5+4*q^-4*x^5-6*q^-3*x^5-9*q^-1*x^5-q^-21*x^6+q^-16*x^6+q^-15*x^6+q^-14*x^6-3*q^-13*x^6-q^-12*x^6-q^-11*x^6-q^-10*x^6+4*q^-9*x^6+4*q^-8*x^6-6*q^-7*x^6-3*q^-6*x^6+q^-5*x^6+13*q^-4*x^6-10*q^-3*x^6-3*q^-2*x^6-12*q^-1*x^6+4*x^6-q^-31*x^7+q^-25*x^7+q^-24*x^7+q^-23*x^7+q^-22*x^7-3*q^-21*x^7-q^-20*x^7-q^-19*x^7-2*q^-18*x^7-q^-17*x^7+3*q^-16*x^7+4*q^-15*x^7+5*q^-14*x^7-5*q^-13*x^7-3*q^-12*x^7-3*q^-11*x^7-2*q^-10*x^7+12*q^-9*x^7+12*q^-8*x^7-11*q^-7*x^7-13*q^-6*x^7+5*q^-5*x^7+35*q^-4*x^7-6*q^-3*x^7-10*q^-2*x^7-22*q^-1*x^7+12*x^7+8*q*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^8-3*q^-31*x^8-q^-30*x^8-q^-29*x^8-2*q^-28*x^8-2*q^-27*x^8-2*q^-26*x^8+3*q^-25*x^8+3*q^-24*x^8+5*q^-23*x^8+6*q^-22*x^8-4*q^-21*x^8-2*q^-20*x^8-2*q^-19*x^8-6*q^-18*x^8-4*q^-17*x^8+8*q^-16*x^8+10*q^-15*x^8+12*q^-14*x^8-9*q^-13*x^8-9*q^-12*x^8-9*q^-11*x^8-q^-10*x^8+38*q^-9*x^8+41*q^-8*x^8-17*q^-7*x^8-37*q^-6*x^8-2*q^-5*x^8+72*q^-4*x^8+20*q^-3*x^8-5*q^-2*x^8-41*q^-1*x^8+11*x^8+23*q*x^8+13*q^2*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^9-3*q^-43*x^9-q^-42*x^9-q^-41*x^9-2*q^-40*x^9-2*q^-39*x^9-3*q^-38*x^9-2*q^-37*x^9+2*q^-36*x^9+3*q^-35*x^9+4*q^-34*x^9+6*q^-33*x^9+7*q^-32*x^9-3*q^-31*x^9-q^-29*x^9-5*q^-28*x^9-7*q^-27*x^9-8*q^-26*x^9+5*q^-25*x^9+5*q^-24*x^9+10*q^-23*x^9+14*q^-22*x^9-6*q^-21*x^9-7*q^-20*x^9-4*q^-19*x^9-11*q^-18*x^9-2*q^-17*x^9+26*q^-16*x^9+35*q^-15*x^9+34*q^-14*x^9-11*q^-13*x^9-33*q^-12*x^9-46*q^-11*x^9-15*q^-10*x^9+96*q^-9*x^9+123*q^-8*x^9+17*q^-7*x^9-73*q^-6*x^9-45*q^-5*x^9+90*q^-4*x^9+70*q^-3*x^9+40*q^-2*x^9-41*q^-1*x^9-2*x^9+23*q*x^9+32*q^2*x^9+18*q^3*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^10-3*q^-57*x^10-q^-56*x^10-q^-55*x^10-2*q^-54*x^10-2*q^-53*x^10-3*q^-52*x^10-3*q^-51*x^10-3*q^-50*x^10+2*q^-49*x^10+2*q^-48*x^10+4*q^-47*x^10+5*q^-46*x^10+7*q^-45*x^10+8*q^-44*x^10-q^-43*x^10+q^-42*x^10+q^-41*x^10-3*q^-40*x^10-6*q^-39*x^10-11*q^-38*x^10-10*q^-37*x^10+q^-35*x^10+4*q^-34*x^10+11*q^-33*x^10+17*q^-32*x^10-4*q^-31*x^10-5*q^-28*x^10-9*q^-27*x^10-8*q^-26*x^10+22*q^-25*x^10+23*q^-24*x^10+27*q^-23*x^10+24*q^-22*x^10-18*q^-21*x^10-34*q^-20*x^10-35*q^-19*x^10-41*q^-18*x^10-9*q^-17*x^10+72*q^-16*x^10+124*q^-15*x^10+141*q^-14*x^10+35*q^-13*x^10-91*q^-12*x^10-184*q^-11*x^10-125*q^-10*x^10+149*q^-9*x^10+308*q^-8*x^10+179*q^-7*x^10-44*q^-6*x^10-134*q^-5*x^10+21*q^-4*x^10+62*q^-3*x^10+118*q^-2*x^10+30*q^-1*x^10+29*x^10+11*q*x^10+22*q^2*x^10+35*q^3*x^10+14*q^4*x^10-q^5*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12a_20 | [-1, 2, -1, 2, 3, 3, 3, -4, -4, 3, -4, -2, -2, -3] | [-1, -1, 1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1] | -x^3-6*x^4-q^-1*x^5-21*x^5+2*q*x^5-2*q^-2*x^6-6*q^-1*x^6-55*x^6+12*q*x^6+2*q^2*x^6-2*q^-4*x^7-4*q^-3*x^7-11*q^-2*x^7-19*q^-1*x^7-118*x^7+45*q*x^7+11*q^2*x^7-4*q^-6*x^8-6*q^-5*x^8-18*q^-4*x^8-19*q^-3*x^8-32*q^-2*x^8-40*q^-1*x^8-212*x^8+130*q*x^8+38*q^2*x^8-2*q^3*x^8+4*q^4*x^8-2*q^5*x^8-2*q^-9*x^9-6*q^-8*x^9-11*q^-7*x^9-33*q^-6*x^9-42*q^-5*x^9-66*q^-4*x^9-43*q^-3*x^9-56*q^-2*x^9-47*q^-1*x^9-322*x^9+321*q*x^9+98*q^2*x^9-10*q^3*x^9+21*q^4*x^9+4*q^5*x^9-q^6*x^9-3*q^7*x^9-4*q^-12*x^10-4*q^-11*x^10-12*q^-10*x^10-26*q^-9*x^10-51*q^-8*x^10-74*q^-7*x^10-144*q^-6*x^10-135*q^-5*x^10-133*q^-4*x^10-28*q^-3*x^10-25*q^-2*x^10+23*q^-1*x^10-394*x^10+694*q*x^10+212*q^2*x^10-35*q^3*x^10+83*q^4*x^10+50*q^5*x^10+23*q^6*x^10-28*q^7*x^10-4*q^8*x^10-2*q^9*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_22 | [-1, 2, 3, -1, 3, -4, 2, -4, 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-q^-2*x^6-36*x^6+5*q*x^6-q^2*x^6-q^-4*x^7-4*q^-3*x^7-4*q^-2*x^7-2*q^-1*x^7-75*x^7+15*q*x^7-5*q^2*x^7-6*q^3*x^7-2*q^-6*x^8-3*q^-5*x^8-12*q^-4*x^8-17*q^-3*x^8-11*q^-2*x^8-9*q^-1*x^8-143*x^8+36*q*x^8-15*q^2*x^8-29*q^3*x^8-9*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^9-45*q^-4*x^9-42*q^-3*x^9-23*q^-2*x^9-30*q^-1*x^9-255*x^9+75*q*x^9-35*q^2*x^9-89*q^3*x^9-42*q^4*x^9-10*q^5*x^9+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^10-50*q^-6*x^10-86*q^-5*x^10-110*q^-4*x^10-77*q^-3*x^10-48*q^-2*x^10-89*q^-1*x^10-438*x^10+138*q*x^10-72*q^2*x^10-219*q^3*x^10-129*q^4*x^10-44*q^5*x^10-7*q^6*x^10-6*q^7*x^10-4*q^8*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_24 | [-1, 2, 3, -2, -1, -4, 3, 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^3-3*x^3-q^-6*x^4+q^-3*x^4-3*q^-2*x^4-q^-1*x^4-6*x^4+q*x^4-q^-12*x^5+q^-8*x^5+q^-7*x^5-3*q^-6*x^5-q^-5*x^5+q^-4*x^5+3*q^-3*x^5-8*q^-2*x^5-2*q^-1*x^5-11*x^5+3*q*x^5+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-q^-11*x^6-q^-10*x^6+5*q^-8*x^6+4*q^-7*x^6-7*q^-6*x^6-2*q^-5*x^6+2*q^-4*x^6+2*q^-3*x^6-18*q^-2*x^6-3*q^-1*x^6-16*x^6+3*q*x^6+3*q^2*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-q^-19*x^7-q^-18*x^7-2*q^-17*x^7+4*q^-15*x^7+6*q^-14*x^7+5*q^-13*x^7-6*q^-12*x^7-5*q^-11*x^7-6*q^-10*x^7+q^-9*x^7+13*q^-8*x^7+8*q^-7*x^7-14*q^-6*x^7-3*q^-5*x^7-2*q^-4*x^7-7*q^-3*x^7-38*q^-2*x^7-4*q^-1*x^7-20*x^7+3*q*x^7-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-q^-29*x^8-q^-28*x^8-2*q^-27*x^8-2*q^-26*x^8-q^-25*x^8+4*q^-24*x^8+5*q^-23*x^8+7*q^-22*x^8+6*q^-21*x^8-5*q^-20*x^8-4*q^-19*x^8-8*q^-18*x^8-11*q^-17*x^8-3*q^-16*x^8+11*q^-15*x^8+18*q^-14*x^8+15*q^-13*x^8-10*q^-12*x^8-14*q^-11*x^8-13*q^-10*x^8+3*q^-9*x^8+22*q^-8*x^8+4*q^-7*x^8-32*q^-6*x^8-10*q^-5*x^8-8*q^-4*x^8-27*q^-3*x^8-74*q^-2*x^8-13*q^-1*x^8-22*x^8+4*q*x^8-8*q^2*x^8-9*q^3*x^8+2*q^4*x^8-3*q^5*x^8-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-q^-41*x^9-q^-40*x^9-2*q^-39*x^9-2*q^-38*x^9-3*q^-37*x^9-q^-36*x^9+3*q^-35*x^9+5*q^-34*x^9+6*q^-33*x^9+8*q^-32*x^9+7*q^-31*x^9-4*q^-30*x^9-2*q^-29*x^9-7*q^-28*x^9-13*q^-27*x^9-14*q^-26*x^9-9*q^-25*x^9+6*q^-24*x^9+15*q^-23*x^9+26*q^-22*x^9+24*q^-21*x^9-q^-20*x^9-9*q^-19*x^9-27*q^-18*x^9-37*q^-17*x^9-13*q^-16*x^9+20*q^-15*x^9+38*q^-14*x^9+30*q^-13*x^9-16*q^-12*x^9-23*q^-11*x^9-10*q^-10*x^9+15*q^-9*x^9+13*q^-8*x^9-32*q^-7*x^9-90*q^-6*x^9-27*q^-5*x^9-13*q^-4*x^9-47*q^-3*x^9-131*q^-2*x^9-41*q^-1*x^9-34*x^9+6*q*x^9-21*q^2*x^9-30*q^3*x^9-7*q^4*x^9+2*q^6*x^9-3*q^7*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-q^-55*x^10-q^-54*x^10-2*q^-53*x^10-2*q^-52*x^10-3*q^-51*x^10-3*q^-50*x^10-2*q^-49*x^10+3*q^-48*x^10+4*q^-47*x^10+6*q^-46*x^10+7*q^-45*x^10+9*q^-44*x^10+8*q^-43*x^10-2*q^-42*x^10-q^-41*x^10-5*q^-40*x^10-11*q^-39*x^10-16*q^-38*x^10-20*q^-37*x^10-13*q^-36*x^10-q^-35*x^10+9*q^-34*x^10+22*q^-33*x^10+34*q^-32*x^10+34*q^-31*x^10+10*q^-30*x^10+6*q^-29*x^10-18*q^-28*x^10-49*q^-27*x^10-55*q^-26*x^10-44*q^-25*x^10-3*q^-24*x^10+29*q^-23*x^10+68*q^-22*x^10+71*q^-21*x^10+22*q^-20*x^10-11*q^-19*x^10-55*q^-18*x^10-77*q^-17*x^10-28*q^-16*x^10+35*q^-15*x^10+54*q^-14*x^10+23*q^-13*x^10-45*q^-12*x^10-21*q^-11*x^10+28*q^-10*x^10+43*q^-9*x^10-28*q^-8*x^10-149*q^-7*x^10-223*q^-6*x^10-77*q^-5*x^10-8*q^-4*x^10-63*q^-3*x^10-206*q^-2*x^10-109*q^-1*x^10-77*x^10-4*q*x^10-36*q^2*x^10-67*q^3*x^10-35*q^4*x^10-9*q^5*x^10+16*q^6*x^10-q^7*x^10+q^12*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12a_24 | [-1, 2, -1, 2, -3, 4, 2, 2, -3, 4, 4, 4] | [-1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1] | -q^2*x^3-6*q^2*x^4-4*q*x^5-21*q^2*x^5+3*q^3*x^5-10*x^6-24*q*x^6-54*q^2*x^6+18*q^3*x^6+3*q^4*x^6-6*q^-2*x^7-21*q^-1*x^7-64*x^7-78*q*x^7-102*q^2*x^7+70*q^3*x^7+15*q^4*x^7-2*q^5*x^7-14*q^-4*x^8-22*q^-3*x^8-76*q^-2*x^8-140*q^-1*x^8-216*x^8-154*q*x^8-116*q^2*x^8+216*q^3*x^8+48*q^4*x^8-18*q^5*x^8-6*q^6*x^8-3*q^7*x^8-8*q^-7*x^9-29*q^-6*x^9-55*q^-5*x^9-141*q^-4*x^9-203*q^-3*x^9-393*q^-2*x^9-464*q^-1*x^9-442*x^9-97*q*x^9+60*q^2*x^9+561*q^3*x^9+95*q^4*x^9-92*q^5*x^9-43*q^6*x^9-26*q^7*x^9+3*q^8*x^9-4*q^9*x^9-18*q^-10*x^10-30*q^-9*x^10-86*q^-8*x^10-170*q^-7*x^10-318*q^-6*x^10-448*q^-5*x^10-736*q^-4*x^10-886*q^-3*x^10-1142*q^-2*x^10-846*q^-1*x^10-316*x^10+584*q*x^10+753*q^2*x^10+1185*q^3*x^10+40*q^4*x^10-384*q^5*x^10-199*q^6*x^10-111*q^7*x^10+7*q^8*x^10-8*q^9*x^10+q^10*x^10-2*q^11*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_25 | [-1, 3, -2, -4, -4, 3, 2, -1, 4, -3, 2, 4] | [-1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 1, -1, 1, -1, -1] | -q^-1*x-q^-5*x^2+q^-3*x^2-2*q^-1*x^2-q^-13*x^3+q^-10*x^3+q^-9*x^3+q^-6*x^3-2*q^-5*x^3-2*q^-4*x^3+2*q^-3*x^3-3*q^-1*x^3-q^-25*x^4+q^-21*x^4+q^-20*x^4+q^-19*x^4-q^-16*x^4+q^-15*x^4+q^-14*x^4-2*q^-13*x^4-3*q^-12*x^4-4*q^-11*x^4+2*q^-10*x^4+4*q^-9*x^4+2*q^-8*x^4+q^-7*x^4+2*q^-6*x^4-2*q^-5*x^4-4*q^-4*x^4-q^-3*x^4-4*q^-1*x^4-q^-41*x^5+q^-36*x^5+q^-35*x^5+q^-34*x^5+q^-33*x^5-q^-30*x^5-q^-29*x^5+q^-27*x^5+q^-26*x^5-2*q^-25*x^5-3*q^-24*x^5-4*q^-23*x^5-5*q^-22*x^5+4*q^-20*x^5+7*q^-19*x^5+5*q^-18*x^5+3*q^-17*x^5-3*q^-16*x^5+q^-15*x^5+4*q^-14*x^5-6*q^-12*x^5-14*q^-11*x^5-4*q^-10*x^5+4*q^-9*x^5+8*q^-8*x^5+6*q^-7*x^5+4*q^-6*x^5-2*q^-5*x^5-6*q^-4*x^5-4*q^-3*x^5-5*q^-2*x^5-5*q^-1*x^5-q^-61*x^6+q^-55*x^6+q^-54*x^6+q^-53*x^6+q^-52*x^6+q^-51*x^6-q^-48*x^6-q^-47*x^6-2*q^-46*x^6+q^-43*x^6+q^-42*x^6-2*q^-41*x^6-2*q^-40*x^6-4*q^-39*x^6-5*q^-38*x^6-6*q^-37*x^6-q^-36*x^6+2*q^-35*x^6+7*q^-34*x^6+10*q^-33*x^6+10*q^-32*x^6+7*q^-31*x^6-4*q^-29*x^6-5*q^-28*x^6+5*q^-26*x^6+4*q^-25*x^6-2*q^-24*x^6-13*q^-23*x^6-22*q^-22*x^6-20*q^-21*x^6-5*q^-20*x^6+12*q^-19*x^6+20*q^-18*x^6+19*q^-17*x^6+5*q^-16*x^6+5*q^-15*x^6+7*q^-14*x^6+5*q^-13*x^6-8*q^-12*x^6-23*q^-11*x^6-15*q^-10*x^6-4*q^-9*x^6+8*q^-8*x^6+10*q^-7*x^6+11*q^-6*x^6-2*q^-5*x^6-8*q^-4*x^6-7*q^-3*x^6-10*q^-2*x^6-12*q^-1*x^6-q^-85*x^7+q^-78*x^7+q^-77*x^7+q^-76*x^7+q^-75*x^7+q^-74*x^7+q^-73*x^7-q^-70*x^7-q^-69*x^7-2*q^-68*x^7-2*q^-67*x^7-q^-66*x^7+q^-63*x^7+q^-62*x^7-q^-61*x^7-2*q^-60*x^7-3*q^-59*x^7-4*q^-58*x^7-6*q^-57*x^7-7*q^-56*x^7-2*q^-55*x^7+q^-54*x^7+5*q^-53*x^7+10*q^-52*x^7+14*q^-51*x^7+14*q^-50*x^7+13*q^-49*x^7+6*q^-48*x^7-9*q^-46*x^7-9*q^-45*x^7-9*q^-44*x^7-2*q^-43*x^7+4*q^-42*x^7+5*q^-41*x^7+6*q^-40*x^7-5*q^-39*x^7-17*q^-38*x^7-34*q^-37*x^7-33*q^-36*x^7-28*q^-35*x^7-6*q^-34*x^7+18*q^-33*x^7+42*q^-32*x^7+48*q^-31*x^7+33*q^-30*x^7+14*q^-29*x^7-4*q^-28*x^7-7*q^-27*x^7+4*q^-26*x^7+15*q^-25*x^7+13*q^-24*x^7-12*q^-23*x^7-45*q^-22*x^7-62*q^-21*x^7-51*q^-20*x^7-13*q^-19*x^7+21*q^-18*x^7+43*q^-17*x^7+31*q^-16*x^7+31*q^-15*x^7+23*q^-14*x^7+12*q^-13*x^7-5*q^-12*x^7-25*q^-11*x^7-22*q^-10*x^7-17*q^-9*x^7-3*q^-8*x^7+4*q^-7*x^7+11*q^-6*x^7-3*q^-5*x^7-10*q^-4*x^7-10*q^-3*x^7-15*q^-2*x^7-19*q^-1*x^7-7*x^7-q^-113*x^8+q^-105*x^8+q^-104*x^8+q^-103*x^8+q^-102*x^8+q^-101*x^8+q^-100*x^8+q^-99*x^8-q^-96*x^8-q^-95*x^8-2*q^-94*x^8-2*q^-93*x^8-3*q^-92*x^8-q^-91*x^8-q^-90*x^8+q^-87*x^8+2*q^-86*x^8-q^-85*x^8-q^-84*x^8-2*q^-83*x^8-3*q^-82*x^8-5*q^-81*x^8-6*q^-80*x^8-8*q^-79*x^8-3*q^-78*x^8+4*q^-76*x^8+7*q^-75*x^8+14*q^-74*x^8+18*q^-73*x^8+19*q^-72*x^8+18*q^-71*x^8+13*q^-70*x^8+7*q^-69*x^8-3*q^-68*x^8-12*q^-67*x^8-17*q^-66*x^8-16*q^-65*x^8-16*q^-64*x^8-7*q^-63*x^8+q^-62*x^8+7*q^-61*x^8+9*q^-60*x^8+5*q^-59*x^8-3*q^-58*x^8-22*q^-57*x^8-40*q^-56*x^8-49*q^-55*x^8-48*q^-54*x^8-37*q^-53*x^8-8*q^-52*x^8+25*q^-51*x^8+60*q^-50*x^8+84*q^-49*x^8+85*q^-48*x^8+70*q^-47*x^8+30*q^-46*x^8-2*q^-45*x^8-32*q^-44*x^8-32*q^-43*x^8-23*q^-42*x^8+5*q^-41*x^8+30*q^-40*x^8+30*q^-39*x^8-q^-38*x^8-59*q^-37*x^8-106*q^-36*x^8-140*q^-35*x^8-118*q^-34*x^8-61*q^-33*x^8+30*q^-32*x^8+100*q^-31*x^8+126*q^-30*x^8+107*q^-29*x^8+67*q^-28*x^8+32*q^-27*x^8+23*q^-26*x^8+35*q^-25*x^8+35*q^-24*x^8+2*q^-23*x^8-59*q^-22*x^8-108*q^-21*x^8-119*q^-20*x^8-85*q^-19*x^8-28*q^-18*x^8+28*q^-17*x^8+47*q^-16*x^8+67*q^-15*x^8+60*q^-14*x^8+42*q^-13*x^8+18*q^-12*x^8-11*q^-11*x^8-19*q^-10*x^8-25*q^-9*x^8-20*q^-8*x^8-17*q^-7*x^8-3*q^-6*x^8-16*q^-5*x^8-19*q^-4*x^8-21*q^-3*x^8-20*q^-2*x^8-26*q^-1*x^8-14*x^8-8*q*x^8-q^-145*x^9+q^-136*x^9+q^-135*x^9+q^-134*x^9+q^-133*x^9+q^-132*x^9+q^-131*x^9+q^-130*x^9+q^-129*x^9-q^-126*x^9-q^-125*x^9-2*q^-124*x^9-2*q^-123*x^9-3*q^-122*x^9-3*q^-121*x^9-2*q^-120*x^9-q^-119*x^9-q^-118*x^9+2*q^-115*x^9+2*q^-114*x^9-q^-111*x^9-2*q^-110*x^9-3*q^-109*x^9-5*q^-108*x^9-7*q^-107*x^9-8*q^-106*x^9-4*q^-105*x^9-q^-104*x^9+2*q^-103*x^9+6*q^-102*x^9+11*q^-101*x^9+17*q^-100*x^9+22*q^-99*x^9+24*q^-98*x^9+24*q^-97*x^9+19*q^-96*x^9+15*q^-95*x^9+5*q^-94*x^9-5*q^-93*x^9-18*q^-92*x^9-23*q^-91*x^9-28*q^-90*x^9-27*q^-89*x^9-25*q^-88*x^9-16*q^-87*x^9-3*q^-86*x^9+5*q^-85*x^9+12*q^-84*x^9+13*q^-83*x^9+12*q^-82*x^9-3*q^-81*x^9-19*q^-80*x^9-46*q^-79*x^9-57*q^-78*x^9-67*q^-77*x^9-61*q^-76*x^9-51*q^-75*x^9-13*q^-74*x^9+30*q^-73*x^9+78*q^-72*x^9+117*q^-71*x^9+141*q^-70*x^9+144*q^-69*x^9+119*q^-68*x^9+73*q^-67*x^9+14*q^-66*x^9-38*q^-65*x^9-83*q^-64*x^9-94*q^-63*x^9-80*q^-62*x^9-40*q^-61*x^9+7*q^-60*x^9+47*q^-59*x^9+61*q^-58*x^9+31*q^-57*x^9-36*q^-56*x^9-124*q^-55*x^9-208*q^-54*x^9-257*q^-53*x^9-242*q^-52*x^9-164*q^-51*x^9-31*q^-50*x^9+128*q^-49*x^9+251*q^-48*x^9+324*q^-47*x^9+297*q^-46*x^9+220*q^-45*x^9+93*q^-44*x^9+4*q^-43*x^9-53*q^-42*x^9-33*q^-41*x^9+28*q^-40*x^9+80*q^-39*x^9+72*q^-38*x^9-24*q^-37*x^9-154*q^-36*x^9-306*q^-35*x^9-366*q^-34*x^9-334*q^-33*x^9-181*q^-32*x^9-3*q^-31*x^9+154*q^-30*x^9+225*q^-29*x^9+234*q^-28*x^9+201*q^-27*x^9+168*q^-26*x^9+141*q^-25*x^9+110*q^-24*x^9+46*q^-23*x^9-48*q^-22*x^9-132*q^-21*x^9-182*q^-20*x^9-174*q^-19*x^9-129*q^-18*x^9-51*q^-17*x^9+q^-16*x^9+61*q^-15*x^9+83*q^-14*x^9+86*q^-13*x^9+61*q^-12*x^9+28*q^-11*x^9+7*q^-10*x^9-13*q^-9*x^9-32*q^-8*x^9-45*q^-7*x^9-35*q^-6*x^9-47*q^-5*x^9-45*q^-4*x^9-45*q^-3*x^9-41*q^-2*x^9-42*q^-1*x^9-21*x^9-16*q*x^9-9*q^2*x^9-q^-181*x^10+q^-171*x^10+q^-170*x^10+q^-169*x^10+q^-168*x^10+q^-167*x^10+q^-166*x^10+q^-165*x^10+q^-164*x^10+q^-163*x^10-q^-160*x^10-q^-159*x^10-2*q^-158*x^10-2*q^-157*x^10-3*q^-156*x^10-3*q^-155*x^10-4*q^-154*x^10-2*q^-153*x^10-2*q^-152*x^10-q^-151*x^10-q^-150*x^10+q^-148*x^10+2*q^-147*x^10+3*q^-146*x^10+q^-145*x^10+q^-144*x^10-2*q^-141*x^10-3*q^-140*x^10-5*q^-139*x^10-7*q^-138*x^10-9*q^-137*x^10-4*q^-136*x^10-3*q^-135*x^10+q^-134*x^10+4*q^-133*x^10+9*q^-132*x^10+13*q^-131*x^10+21*q^-130*x^10+26*q^-129*x^10+29*q^-128*x^10+29*q^-127*x^10+26*q^-126*x^10+22*q^-125*x^10+14*q^-124*x^10+4*q^-123*x^10-10*q^-122*x^10-22*q^-121*x^10-33*q^-120*x^10-38*q^-119*x^10-43*q^-118*x^10-41*q^-117*x^10-39*q^-116*x^10-25*q^-115*x^10-12*q^-114*x^10+q^-113*x^10+13*q^-112*x^10+20*q^-111*x^10+24*q^-110*x^10+20*q^-109*x^10+8*q^-108*x^10-15*q^-107*x^10-41*q^-106*x^10-62*q^-105*x^10-75*q^-104*x^10-86*q^-103*x^10-80*q^-102*x^10-63*q^-101*x^10-22*q^-100*x^10+29*q^-99*x^10+91*q^-98*x^10+147*q^-97*x^10+190*q^-96*x^10+222*q^-95*x^10+223*q^-94*x^10+195*q^-93*x^10+132*q^-92*x^10+61*q^-91*x^10-29*q^-90*x^10-102*q^-89*x^10-171*q^-88*x^10-196*q^-87*x^10-191*q^-86*x^10-142*q^-85*x^10-77*q^-84*x^10+5*q^-83*x^10+74*q^-82*x^10+110*q^-81*x^10+97*q^-80*x^10+25*q^-79*x^10-75*q^-78*x^10-210*q^-77*x^10-329*q^-76*x^10-427*q^-75*x^10-429*q^-74*x^10-357*q^-73*x^10-181*q^-72*x^10+43*q^-71*x^10+299*q^-70*x^10+517*q^-69*x^10+661*q^-68*x^10+682*q^-67*x^10+591*q^-66*x^10+396*q^-65*x^10+139*q^-64*x^10-87*q^-63*x^10-247*q^-62*x^10-284*q^-61*x^10-217*q^-60*x^10-62*q^-59*x^10+96*q^-58*x^10+193*q^-57*x^10+163*q^-56*x^10-12*q^-55*x^10-299*q^-54*x^10-613*q^-53*x^10-834*q^-52*x^10-898*q^-51*x^10-738*q^-50*x^10-391*q^-49*x^10+53*q^-48*x^10+477*q^-47*x^10+747*q^-46*x^10+829*q^-45*x^10+707*q^-44*x^10+510*q^-43*x^10+284*q^-42*x^10+166*q^-41*x^10+147*q^-40*x^10+196*q^-39*x^10+188*q^-38*x^10+79*q^-37*x^10-144*q^-36*x^10-442*q^-35*x^10-670*q^-34*x^10-768*q^-33*x^10-658*q^-32*x^10-431*q^-31*x^10-134*q^-30*x^10+113*q^-29*x^10+301*q^-28*x^10+393*q^-27*x^10+431*q^-26*x^10+406*q^-25*x^10+338*q^-24*x^10+226*q^-23*x^10+77*q^-22*x^10-65*q^-21*x^10-177*q^-20*x^10-227*q^-19*x^10-225*q^-18*x^10-170*q^-17*x^10-114*q^-16*x^10-21*q^-15*x^10+45*q^-14*x^10+81*q^-13*x^10+83*q^-12*x^10+59*q^-11*x^10+42*q^-10*x^10+12*q^-9*x^10-24*q^-8*x^10-68*q^-7*x^10-75*q^-6*x^10-99*q^-5*x^10-93*q^-4*x^10-91*q^-3*x^10-81*q^-2*x^10-82*q^-1*x^10-46*x^10-34*q*x^10-18*q^2*x^10-10*q^3*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12a_26 | [-1, 2, -1, 2, 3, -4, -4, -4, -4, 3, -4, -2, -2, -3] | [-1, -1, 1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1] | -q^-2*x^3-6*q^-2*x^4-q^-3*x^5-21*q^-2*x^5-4*q^-4*x^6-6*q^-3*x^6-57*q^-2*x^6+4*x^6-2*q^-6*x^7-6*q^-5*x^7-23*q^-4*x^7-23*q^-3*x^7-132*q^-2*x^7+3*q^-1*x^7+25*x^7+15*q*x^7-q^2*x^7-4*q^-8*x^8-4*q^-7*x^8-18*q^-6*x^8-37*q^-5*x^8-82*q^-4*x^8-68*q^-3*x^8-266*q^-2*x^8+23*q^-1*x^8+108*x^8+95*q*x^8+32*q^2*x^8-6*q^3*x^8-2*q^4*x^8-2*q^-11*x^9-6*q^-10*x^9-8*q^-9*x^9-30*q^-8*x^9-34*q^-7*x^9-86*q^-6*x^9-136*q^-5*x^9-226*q^-4*x^9-152*q^-3*x^9-459*q^-2*x^9+136*q^-1*x^9+376*x^9+400*q*x^9+220*q^2*x^9+41*q^3*x^9-34*q^4*x^9-18*q^5*x^9-3*q^6*x^9-q^7*x^9-4*q^-14*x^10-4*q^-13*x^10-12*q^-12*x^10-24*q^-11*x^10-49*q^-10*x^10-62*q^-9*x^10-142*q^-8*x^10-159*q^-7*x^10-282*q^-6*x^10-374*q^-5*x^10-488*q^-4*x^10-219*q^-3*x^10-572*q^-2*x^10+610*q^-1*x^10+1209*x^10+1341*q*x^10+942*q^2*x^10+345*q^3*x^10-59*q^4*x^10-180*q^5*x^10-91*q^6*x^10-40*q^7*x^10-4*q^8*x^10-2*q^9*x^10-2*q^10*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_27 | [-1, 2, -1, 2, -3, -3, 2, 2, 3, 4, -3, -3, 4, 4] | [-1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1] | -q*x^3-5*q*x^4-x^5-15*q*x^5+2*q^2*x^5-q^-1*x^6-5*x^6-34*q*x^6+10*q^2*x^6+q^3*x^6-q^-3*x^7-5*q^-1*x^7-15*x^7-63*q*x^7+33*q^2*x^7+4*q^3*x^7-q^4*x^7-2*q^-5*x^8-2*q^-4*x^8-3*q^-3*x^8+q^-2*x^8-18*q^-1*x^8-32*x^8-96*q*x^8+84*q^2*x^8+9*q^3*x^8-6*q^4*x^8+2*q^5*x^8-q^6*x^8-q^-8*x^9-3*q^-7*x^9-5*q^-6*x^9-13*q^-5*x^9-5*q^-4*x^9-q^-3*x^9-2*q^-2*x^9-48*q^-1*x^9-50*x^9-116*q*x^9+180*q^2*x^9+8*q^3*x^9-25*q^4*x^9+10*q^5*x^9-q^6*x^9+q^7*x^9-q^8*x^9-2*q^-11*x^10-2*q^-10*x^10-6*q^-9*x^10-14*q^-8*x^10-24*q^-7*x^10-29*q^-6*x^10-35*q^-5*x^10+11*q^-4*x^10+2*q^-3*x^10-27*q^-2*x^10-103*q^-1*x^10-40*x^10-94*q*x^10+329*q^2*x^10-27*q^3*x^10-78*q^4*x^10+31*q^5*x^10+9*q^6*x^10+7*q^7*x^10-8*q^8*x^10-q^9*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12a_29 | [-1, 2, -1, 2, -3, -4, -4, -3, 2, 2, -3, 4, -3, -4] | [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1] | -q^-1*x^3-6*q^-1*x^4+q^-2*x^5-21*q^-1*x^5+2*x^5+2*q^-3*x^6+6*q^-2*x^6-56*q^-1*x^6+12*x^6+6*q*x^6-q^-5*x^7+q^-4*x^7+13*q^-3*x^7+21*q^-2*x^7-128*q^-1*x^7+44*x^7+35*q*x^7+8*q^2*x^7-2*q^-7*x^8-6*q^-6*x^8-6*q^-5*x^8+10*q^-4*x^8+48*q^-3*x^8+52*q^-2*x^8-266*q^-1*x^8+118*x^8+125*q*x^8+42*q^2*x^8+4*q^3*x^8-6*q^4*x^8-q^-10*x^9-3*q^-9*x^9-10*q^-8*x^9-21*q^-7*x^9-35*q^-6*x^9-11*q^-5*x^9+45*q^-4*x^9+133*q^-3*x^9+94*q^-2*x^9-532*q^-1*x^9+253*x^9+335*q*x^9+136*q^2*x^9+4*q^3*x^9-45*q^4*x^9-13*q^5*x^9-12*q^6*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^10-68*q^-8*x^10-90*q^-7*x^10-96*q^-6*x^10+10*q^-5*x^10+154*q^-4*x^10+298*q^-3*x^10+103*q^-2*x^10-1066*q^-1*x^10+436*x^10+743*q*x^10+334*q^2*x^10-36*q^3*x^10-230*q^4*x^10-108*q^5*x^10-76*q^6*x^10-22*q^7*x^10-14*q^8*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12a_30 | [-1, 2, -1, 2, 3, -4, -4, 3, 3, 3, -4, -2, -2, -3] | [1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1] | -x^3-6*x^4-q^-1*x^5-21*x^5+2*q*x^5-2*q^-2*x^6-6*q^-1*x^6-56*x^6+12*q*x^6+4*q^2*x^6-2*q^-4*x^7-4*q^-3*x^7-11*q^-2*x^7-21*q^-1*x^7-124*x^7+46*q*x^7+23*q^2*x^7+6*q^3*x^7-4*q^-6*x^8-6*q^-5*x^8-18*q^-4*x^8-20*q^-3*x^8-35*q^-2*x^8-52*q^-1*x^8-233*x^8+140*q*x^8+89*q^2*x^8+32*q^3*x^8+12*q^4*x^8-4*q^5*x^8-2*q^-9*x^9-6*q^-8*x^9-11*q^-7*x^9-33*q^-6*x^9-44*q^-5*x^9-70*q^-4*x^9-51*q^-3*x^9-73*q^-2*x^9-89*q^-1*x^9-370*x^9+380*q*x^9+271*q^2*x^9+121*q^3*x^9+62*q^4*x^9-q^5*x^9-12*q^6*x^9-9*q^7*x^9-4*q^-12*x^10-4*q^-11*x^10-12*q^-10*x^10-26*q^-9*x^10-52*q^-8*x^10-78*q^-7*x^10-152*q^-6*x^10-154*q^-5*x^10-154*q^-4*x^10-53*q^-3*x^10-75*q^-2*x^10-70*q^-1*x^10-449*x^10+937*q*x^10+725*q^2*x^10+360*q^3*x^10+220*q^4*x^10+25*q^5*x^10-40*q^6*x^10-88*q^7*x^10-28*q^8*x^10-12*q^9*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_30 | [-1, 2, -1, 2, -3, -3, 2, 2, 3, 4, -3, -3, -3, 4] | [-1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, -1] | -x^3-5*x^4-15*x^5+q*x^5-q^-2*x^6-36*x^6+5*q*x^6-q^2*x^6-q^-4*x^7-4*q^-3*x^7-4*q^-2*x^7-2*q^-1*x^7-75*x^7+15*q*x^7-5*q^2*x^7-6*q^3*x^7-2*q^-6*x^8-3*q^-5*x^8-12*q^-4*x^8-17*q^-3*x^8-11*q^-2*x^8-9*q^-1*x^8-143*x^8+36*q*x^8-15*q^2*x^8-29*q^3*x^8-9*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^9-45*q^-4*x^9-42*q^-3*x^9-23*q^-2*x^9-30*q^-1*x^9-255*x^9+75*q*x^9-35*q^2*x^9-89*q^3*x^9-42*q^4*x^9-10*q^5*x^9+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^10-50*q^-6*x^10-86*q^-5*x^10-110*q^-4*x^10-77*q^-3*x^10-48*q^-2*x^10-89*q^-1*x^10-438*x^10+138*q*x^10-72*q^2*x^10-219*q^3*x^10-129*q^4*x^10-44*q^5*x^10-7*q^6*x^10-6*q^7*x^10-4*q^8*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_33 | [-1, 2, 3, -1, 3, -4, 2, 3, -4, 3, 3, -4] | [-1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, -1] | -q*x^3-5*q*x^4-x^5-15*q*x^5+2*q^2*x^5-q^-1*x^6-5*x^6-34*q*x^6+10*q^2*x^6+q^3*x^6-q^-3*x^7-5*q^-1*x^7-15*x^7-63*q*x^7+33*q^2*x^7+4*q^3*x^7-q^4*x^7-2*q^-5*x^8-2*q^-4*x^8-3*q^-3*x^8+q^-2*x^8-18*q^-1*x^8-32*x^8-96*q*x^8+84*q^2*x^8+9*q^3*x^8-6*q^4*x^8+2*q^5*x^8-q^6*x^8-q^-8*x^9-3*q^-7*x^9-5*q^-6*x^9-13*q^-5*x^9-5*q^-4*x^9-q^-3*x^9-2*q^-2*x^9-48*q^-1*x^9-50*x^9-116*q*x^9+180*q^2*x^9+8*q^3*x^9-25*q^4*x^9+10*q^5*x^9-q^6*x^9+q^7*x^9-q^8*x^9-2*q^-11*x^10-2*q^-10*x^10-6*q^-9*x^10-14*q^-8*x^10-24*q^-7*x^10-29*q^-6*x^10-35*q^-5*x^10+11*q^-4*x^10+2*q^-3*x^10-27*q^-2*x^10-103*q^-1*x^10-40*x^10-94*q*x^10+329*q^2*x^10-27*q^3*x^10-78*q^4*x^10+31*q^5*x^10+9*q^6*x^10+7*q^7*x^10-8*q^8*x^10-q^9*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12a_33 | [-1, 2, -1, 2, 3, 3, 3, -4, -4, 3, -2, -2, -3, -4] | [1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1] | -x^3-6*x^4-q^-1*x^5-21*x^5+2*q*x^5-2*q^-2*x^6-6*q^-1*x^6-56*x^6+12*q*x^6+4*q^2*x^6-2*q^-4*x^7-4*q^-3*x^7-11*q^-2*x^7-21*q^-1*x^7-124*x^7+46*q*x^7+23*q^2*x^7+6*q^3*x^7-4*q^-6*x^8-6*q^-5*x^8-18*q^-4*x^8-20*q^-3*x^8-35*q^-2*x^8-52*q^-1*x^8-233*x^8+140*q*x^8+89*q^2*x^8+32*q^3*x^8+12*q^4*x^8-4*q^5*x^8-2*q^-9*x^9-6*q^-8*x^9-11*q^-7*x^9-33*q^-6*x^9-44*q^-5*x^9-70*q^-4*x^9-51*q^-3*x^9-73*q^-2*x^9-89*q^-1*x^9-370*x^9+380*q*x^9+271*q^2*x^9+121*q^3*x^9+62*q^4*x^9-q^5*x^9-12*q^6*x^9-9*q^7*x^9-4*q^-12*x^10-4*q^-11*x^10-12*q^-10*x^10-26*q^-9*x^10-52*q^-8*x^10-78*q^-7*x^10-152*q^-6*x^10-154*q^-5*x^10-154*q^-4*x^10-53*q^-3*x^10-75*q^-2*x^10-70*q^-1*x^10-449*x^10+937*q*x^10+725*q^2*x^10+360*q^3*x^10+220*q^4*x^10+25*q^5*x^10-40*q^6*x^10-88*q^7*x^10-28*q^8*x^10-12*q^9*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_35 | [-4, 3, -4, 3, 2, -1, 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] | -x^2-q^-2*x^3-4*x^3-q^-6*x^4-4*q^-2*x^4-10*x^4+q*x^4-q^-12*x^5-4*q^-6*x^5+q^-5*x^5+2*q^-4*x^5-q^-3*x^5-11*q^-2*x^5+q^-1*x^5-20*x^5+4*q*x^5+2*q^2*x^5-q^-20*x^6-4*q^-12*x^6+q^-11*x^6+q^-10*x^6+2*q^-9*x^6+q^-8*x^6-9*q^-6*x^6+7*q^-5*x^6+5*q^-4*x^6-7*q^-3*x^6-23*q^-2*x^6+6*q^-1*x^6-33*x^6+7*q*x^6+8*q^2*x^6+2*q^3*x^6-q^-30*x^7-4*q^-20*x^7+q^-19*x^7+q^-18*x^7+q^-17*x^7+2*q^-16*x^7+q^-15*x^7+2*q^-14*x^7-9*q^-12*x^7+5*q^-11*x^7+6*q^-10*x^7+10*q^-9*x^7+2*q^-8*x^7-2*q^-7*x^7-14*q^-6*x^7+20*q^-5*x^7+5*q^-4*x^7-25*q^-3*x^7-43*q^-2*x^7+20*q^-1*x^7-46*x^7+10*q*x^7+12*q^2*x^7+8*q^3*x^7+2*q^4*x^7-2*q^5*x^7-q^-42*x^8-4*q^-30*x^8+q^-29*x^8+q^-28*x^8+q^-27*x^8+q^-26*x^8+2*q^-25*x^8+q^-24*x^8+2*q^-23*x^8+2*q^-22*x^8-9*q^-20*x^8+5*q^-19*x^8+4*q^-18*x^8+6*q^-17*x^8+10*q^-16*x^8+5*q^-15*x^8+4*q^-14*x^8-2*q^-13*x^8-16*q^-12*x^8+18*q^-11*x^8+22*q^-10*x^8+18*q^-9*x^8-11*q^-8*x^8-14*q^-7*x^8-17*q^-6*x^8+42*q^-5*x^8-q^-4*x^8-65*q^-3*x^8-80*q^-2*x^8+43*q^-1*x^8-53*x^8+10*q*x^8+8*q^2*x^8+6*q^3*x^8+11*q^4*x^8-6*q^5*x^8-3*q^6*x^8-3*q^7*x^8-q^-56*x^9-4*q^-42*x^9+q^-41*x^9+q^-40*x^9+q^-39*x^9+q^-38*x^9+q^-37*x^9+2*q^-36*x^9+q^-35*x^9+2*q^-34*x^9+2*q^-33*x^9+2*q^-32*x^9-9*q^-30*x^9+5*q^-29*x^9+4*q^-28*x^9+4*q^-27*x^9+6*q^-26*x^9+9*q^-25*x^9+5*q^-24*x^9+7*q^-23*x^9+5*q^-22*x^9-4*q^-21*x^9-18*q^-20*x^9+12*q^-19*x^9+12*q^-18*x^9+15*q^-17*x^9+23*q^-16*x^9-7*q^-14*x^9-11*q^-13*x^9-20*q^-12*x^9+53*q^-11*x^9+41*q^-10*x^9-3*q^-9*x^9-76*q^-8*x^9-47*q^-7*x^9-15*q^-6*x^9+90*q^-5*x^9-11*q^-4*x^9-144*q^-3*x^9-156*q^-2*x^9+64*q^-1*x^9-57*x^9+9*q*x^9-20*q^2*x^9-20*q^3*x^9+12*q^4*x^9-q^5*x^9-6*q^6*x^9-16*q^7*x^9-4*q^8*x^9-2*q^9*x^9-q^-72*x^10-4*q^-56*x^10+q^-55*x^10+q^-54*x^10+q^-53*x^10+q^-52*x^10+q^-51*x^10+q^-50*x^10+2*q^-49*x^10+q^-48*x^10+2*q^-47*x^10+2*q^-46*x^10+2*q^-45*x^10+2*q^-44*x^10-9*q^-42*x^10+5*q^-41*x^10+4*q^-40*x^10+4*q^-39*x^10+4*q^-38*x^10+5*q^-37*x^10+9*q^-36*x^10+4*q^-35*x^10+7*q^-34*x^10+8*q^-33*x^10+3*q^-32*x^10-5*q^-31*x^10-20*q^-30*x^10+9*q^-29*x^10+6*q^-28*x^10+3*q^-27*x^10+14*q^-26*x^10+18*q^-25*x^10+6*q^-24*x^10+q^-23*x^10-4*q^-22*x^10-21*q^-21*x^10-34*q^-20*x^10+26*q^-19*x^10+31*q^-18*x^10+18*q^-17*x^10+6*q^-16*x^10-60*q^-15*x^10-66*q^-14*x^10-33*q^-13*x^10+7*q^-12*x^10+129*q^-11*x^10+36*q^-10*x^10-115*q^-9*x^10-236*q^-8*x^10-120*q^-7*x^10+28*q^-6*x^10+200*q^-5*x^10-13*q^-4*x^10-298*q^-3*x^10-322*q^-2*x^10+43*q^-1*x^10-68*x^10+5*q*x^10-73*q^2*x^10-104*q^3*x^10-18*q^4*x^10+q^5*x^10+20*q^6*x^10-31*q^7*x^10-19*q^8*x^10-13*q^9*x^10-2*q^10*x^10-q^11*x^10+3*q^12*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_36 | [-4, 3, -4, 3, -2, 1, -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] | -q^-1*x^2-5*q^-1*x^3-2*q*x^3-15*q^-1*x^4-x^4-10*q*x^4-4*q^2*x^4-q^4*x^4-3*q^5*x^4-37*q^-1*x^5-5*x^5-33*q*x^5-22*q^2*x^5-6*q^3*x^5-5*q^4*x^5-18*q^5*x^5-8*q^6*x^5-5*q^7*x^5-2*q^9*x^5-2*q^10*x^5-4*q^11*x^5-q^-5*x^6-q^-4*x^6-5*q^-2*x^6-79*q^-1*x^6-16*x^6-86*q*x^6-79*q^2*x^6-42*q^3*x^6-24*q^4*x^6-63*q^5*x^6-50*q^6*x^6-40*q^7*x^6-12*q^8*x^6-17*q^9*x^6-16*q^10*x^6-30*q^11*x^6-16*q^12*x^6-10*q^13*x^6-6*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^6-2*q^-7*x^7-4*q^-6*x^7-9*q^-5*x^7-5*q^-4*x^7-10*q^-3*x^7-26*q^-2*x^7-154*q^-1*x^7-41*x^7-200*q*x^7-227*q^2*x^7-165*q^3*x^7-109*q^4*x^7-184*q^5*x^7-185*q^6*x^7-187*q^7*x^7-97*q^8*x^7-92*q^9*x^7-81*q^10*x^7-137*q^11*x^7-110*q^12*x^7-93*q^13*x^7-66*q^14*x^7-37*q^15*x^7-32*q^16*x^7-40*q^17*x^7-35*q^18*x^7-50*q^19*x^7-29*q^20*x^7-20*q^21*x^7-12*q^22*x^7-9*q^23*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^-10*x^8-3*q^-9*x^8-8*q^-8*x^8-20*q^-7*x^8-30*q^-6*x^8-36*q^-5*x^8-39*q^-4*x^8-64*q^-3*x^8-93*q^-2*x^8-288*q^-1*x^8-107*x^8-445*q*x^8-571*q^2*x^8-502*q^3*x^8-376*q^4*x^8-516*q^5*x^8-561*q^6*x^8-651*q^7*x^8-473*q^8*x^8-406*q^9*x^8-334*q^10*x^8-485*q^11*x^8-470*q^12*x^8-471*q^13*x^8-388*q^14*x^8-285*q^15*x^8-231*q^16*x^8-240*q^17*x^8-225*q^18*x^8-282*q^19*x^8-245*q^20*x^8-207*q^21*x^8-158*q^22*x^8-130*q^23*x^8-75*q^24*x^8-79*q^25*x^8-74*q^26*x^8-79*q^27*x^8-70*q^28*x^8-80*q^29*x^8-52*q^30*x^8-36*q^31*x^8-25*q^32*x^8-17*q^33*x^8-12*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^8-2*q^-13*x^9-2*q^-12*x^9-8*q^-11*x^9-17*q^-10*x^9-35*q^-9*x^9-62*q^-8*x^9-106*q^-7*x^9-128*q^-6*x^9-159*q^-5*x^9-203*q^-4*x^9-272*q^-3*x^9-293*q^-2*x^9-570*q^-1*x^9-323*x^9-999*q*x^9-1354*q^2*x^9-1314*q^3*x^9-1093*q^4*x^9-1363*q^5*x^9-1570*q^6*x^9-1934*q^7*x^9-1727*q^8*x^9-1555*q^9*x^9-1254*q^10*x^9-1524*q^11*x^9-1590*q^12*x^9-1768*q^13*x^9-1662*q^14*x^9-1420*q^15*x^9-1198*q^16*x^9-1140*q^17*x^9-1075*q^18*x^9-1235*q^19*x^9-1219*q^20*x^9-1171*q^21*x^9-1026*q^22*x^9-921*q^23*x^9-687*q^24*x^9-631*q^25*x^9-563*q^26*x^9-574*q^27*x^9-543*q^28*x^9-589*q^29*x^9-515*q^30*x^9-449*q^31*x^9-359*q^32*x^9-297*q^33*x^9-228*q^34*x^9-177*q^35*x^9-154*q^36*x^9-161*q^37*x^9-148*q^38*x^9-147*q^39*x^9-125*q^40*x^9-130*q^41*x^9-87*q^42*x^9-66*q^43*x^9-45*q^44*x^9-34*q^45*x^9-24*q^46*x^9-21*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^-17*x^10-3*q^-16*x^10-5*q^-15*x^10-11*q^-14*x^10-24*q^-13*x^10-37*q^-12*x^10-75*q^-11*x^10-126*q^-10*x^10-206*q^-9*x^10-310*q^-8*x^10-421*q^-7*x^10-516*q^-6*x^10-670*q^-5*x^10-830*q^-4*x^10-962*q^-3*x^10-941*q^-2*x^10-1339*q^-1*x^10-1090*x^10-2397*q*x^10-3183*q^2*x^10-3244*q^3*x^10-2886*q^4*x^10-3460*q^5*x^10-4138*q^6*x^10-5289*q^7*x^10-5326*q^8*x^10-5148*q^9*x^10-4355*q^10*x^10-4617*q^11*x^10-4827*q^12*x^10-5609*q^13*x^10-5806*q^14*x^10-5578*q^15*x^10-5008*q^16*x^10-4675*q^17*x^10-4339*q^18*x^10-4659*q^19*x^10-4783*q^20*x^10-4904*q^21*x^10-4735*q^22*x^10-4535*q^23*x^10-3886*q^24*x^10-3579*q^25*x^10-3219*q^26*x^10-3127*q^27*x^10-3000*q^28*x^10-3142*q^29*x^10-3019*q^30*x^10-2906*q^31*x^10-2601*q^32*x^10-2345*q^33*x^10-2014*q^34*x^10-1717*q^35*x^10-1481*q^36*x^10-1401*q^37*x^10-1315*q^38*x^10-1284*q^39*x^10-1206*q^40*x^10-1213*q^41*x^10-1062*q^42*x^10-935*q^43*x^10-775*q^44*x^10-650*q^45*x^10-523*q^46*x^10-448*q^47*x^10-344*q^48*x^10-335*q^49*x^10-307*q^50*x^10-301*q^51*x^10-274*q^52*x^10-255*q^53*x^10-216*q^54*x^10-205*q^55*x^10-149*q^56*x^10-110*q^57*x^10-83*q^58*x^10-63*q^59*x^10-47*q^60*x^10-39*q^61*x^10-33*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 | 12 | 12 | Yes | 12 |
| 12n_37 | [-1, 2, -1, 2, 3, -4, 3, -4, 3, 2, 2, 3] | [-1, -1, 1, -1, 1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1] | -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-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-q^3*x^7-4*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^8-58*q^2*x^8-6*q^3*x^8-11*q^4*x^8-4*q^5*x^8-4*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^9-91*x^9-74*q*x^9-97*q^2*x^9-20*q^3*x^9-26*q^4*x^9-13*q^5*x^9-16*q^6*x^9-6*q^7*x^9-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^10-162*q^-2*x^10-164*q^-1*x^10-172*x^10-139*q*x^10-165*q^2*x^10-53*q^3*x^10-59*q^4*x^10-40*q^5*x^10-48*q^6*x^10-25*q^7*x^10-11*q^8*x^10-q^9*x^10-q^10*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_38 | [-4, 3, -4, 3, 2, -1, -1, 2, -1, -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] | -q^-1*x^2-q^-3*x^3-4*q^-1*x^3-q^-7*x^4-4*q^-3*x^4+2*q^-2*x^4-10*q^-1*x^4-x^4-q^-13*x^5-4*q^-7*x^5+q^-6*x^5+2*q^-5*x^5+q^-4*x^5-9*q^-3*x^5+7*q^-2*x^5-16*q^-1*x^5-4*x^5-2*q*x^5-q^-21*x^6-4*q^-13*x^6+q^-12*x^6+q^-11*x^6+2*q^-10*x^6+q^-9*x^6-11*q^-7*x^6+5*q^-6*x^6+14*q^-5*x^6+10*q^-4*x^6-17*q^-3*x^6+15*q^-2*x^6-19*q^-1*x^6-8*q*x^6-3*q^2*x^6-q^3*x^6-q^-31*x^7-4*q^-21*x^7+q^-20*x^7+q^-19*x^7+q^-18*x^7+2*q^-17*x^7+q^-16*x^7-11*q^-13*x^7+3*q^-12*x^7+10*q^-11*x^7+14*q^-10*x^7+10*q^-9*x^7-2*q^-8*x^7-27*q^-7*x^7+11*q^-6*x^7+52*q^-5*x^7+46*q^-4*x^7-20*q^-3*x^7+20*q^-2*x^7-18*q^-1*x^7+22*x^7+q*x^7-10*q^2*x^7-8*q^3*x^7-2*q^4*x^7-2*q^5*x^7-q^-43*x^8-4*q^-31*x^8+q^-30*x^8+q^-29*x^8+q^-28*x^8+q^-27*x^8+2*q^-26*x^8+q^-25*x^8-11*q^-21*x^8+3*q^-20*x^8+8*q^-19*x^8+10*q^-18*x^8+14*q^-17*x^8+9*q^-16*x^8-8*q^-14*x^8-30*q^-13*x^8+8*q^-12*x^8+41*q^-11*x^8+63*q^-10*x^8+45*q^-9*x^8-10*q^-8*x^8-78*q^-7*x^8+6*q^-6*x^8+130*q^-5*x^8+148*q^-4*x^8+16*q^-3*x^8+31*q^-2*x^8-32*q^-1*x^8+62*x^8+50*q*x^8+18*q^2*x^8-17*q^3*x^8-9*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^9-4*q^-43*x^9+q^-42*x^9+q^-41*x^9+q^-40*x^9+q^-39*x^9+q^-38*x^9+2*q^-37*x^9+q^-36*x^9-11*q^-31*x^9+3*q^-30*x^9+8*q^-29*x^9+8*q^-28*x^9+10*q^-27*x^9+13*q^-26*x^9+9*q^-25*x^9-q^-24*x^9-5*q^-23*x^9-8*q^-22*x^9-30*q^-21*x^9+4*q^-20*x^9+34*q^-19*x^9+53*q^-18*x^9+63*q^-17*x^9+37*q^-16*x^9-7*q^-15*x^9-56*q^-14*x^9-97*q^-13*x^9-3*q^-12*x^9+117*q^-11*x^9+199*q^-10*x^9+167*q^-9*x^9-25*q^-8*x^9-212*q^-7*x^9-91*q^-6*x^9+210*q^-5*x^9+349*q^-4*x^9+171*q^-3*x^9+109*q^-2*x^9-54*q^-1*x^9+75*x^9+128*q*x^9+118*q^2*x^9+45*q^3*x^9+2*q^4*x^9-20*q^5*x^9-13*q^6*x^9-16*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^10-4*q^-57*x^10+q^-56*x^10+q^-55*x^10+q^-54*x^10+q^-53*x^10+q^-52*x^10+q^-51*x^10+2*q^-50*x^10+q^-49*x^10-11*q^-43*x^10+3*q^-42*x^10+8*q^-41*x^10+8*q^-40*x^10+8*q^-39*x^10+9*q^-38*x^10+13*q^-37*x^10+8*q^-36*x^10-q^-35*x^10-6*q^-34*x^10-5*q^-33*x^10-7*q^-32*x^10-30*q^-31*x^10+3*q^-30*x^10+30*q^-29*x^10+45*q^-28*x^10+52*q^-27*x^10+56*q^-26*x^10+36*q^-25*x^10-13*q^-24*x^10-52*q^-23*x^10-76*q^-22*x^10-106*q^-21*x^10-9*q^-20*x^10+106*q^-19*x^10+194*q^-18*x^10+230*q^-17*x^10+133*q^-16*x^10-39*q^-15*x^10-243*q^-14*x^10-363*q^-13*x^10-166*q^-12*x^10+205*q^-11*x^10+520*q^-10*x^10+517*q^-9*x^10+55*q^-8*x^10-492*q^-7*x^10-473*q^-6*x^10+60*q^-5*x^10+527*q^-4*x^10+489*q^-3*x^10+405*q^-2*x^10+36*q^-1*x^10+65*x^10+141*q*x^10+237*q^2*x^10+209*q^3*x^10+137*q^4*x^10+33*q^5*x^10+16*q^6*x^10-19*q^7*x^10-23*q^8*x^10-27*q^9*x^10-15*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 |
| 12a_39 | [1, -2, -2, 3, -4, 1, 1, -2, -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] | -q^-1*x^3-6*q^-1*x^4+2*q^-2*x^5-21*q^-1*x^5-2*x^5+q^-3*x^6+12*q^-2*x^6-56*q^-1*x^6-12*x^6-6*q*x^6-q^-5*x^7-5*q^-4*x^7+6*q^-3*x^7+43*q^-2*x^7-122*q^-1*x^7-43*x^7-34*q*x^7-16*q^2*x^7-5*q^3*x^7-2*q^-7*x^8-5*q^-6*x^8-13*q^-5*x^8-29*q^-4*x^8+15*q^-3*x^8+122*q^-2*x^8-226*q^-1*x^8-106*x^8-116*q*x^8-86*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^9-7*q^-8*x^9-11*q^-7*x^9-34*q^-6*x^9-62*q^-5*x^9-120*q^-4*x^9+13*q^-3*x^9+283*q^-2*x^9-353*q^-1*x^9-198*x^9-274*q*x^9-267*q^2*x^9-278*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^-13*x^10-2*q^-12*x^10-6*q^-11*x^10-12*q^-10*x^10-22*q^-9*x^10-39*q^-8*x^10-42*q^-7*x^10-121*q^-6*x^10-230*q^-5*x^10-404*q^-4*x^10-94*q^-3*x^10+537*q^-2*x^10-491*q^-1*x^10-272*x^10-487*q*x^10-556*q^2*x^10-752*q^3*x^10-726*q^4*x^10-686*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_39 | [-4, 3, -4, 3, -2, 1, 1, -2, 1, -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] | -x^2-5*x^3-2*q^2*x^3-2*q^-1*x^4-15*x^4+q*x^4-10*q^2*x^4-4*q^3*x^4-q^5*x^4-3*q^6*x^4-4*q^-2*x^5-10*q^-1*x^5-35*x^5+q*x^5-33*q^2*x^5-18*q^3*x^5-6*q^4*x^5-5*q^5*x^5-18*q^6*x^5-8*q^7*x^5-5*q^8*x^5-2*q^10*x^5-2*q^11*x^5-4*q^12*x^5-2*q^-4*x^6-6*q^-3*x^6-22*q^-2*x^6-30*q^-1*x^6-75*x^6-15*q*x^6-94*q^2*x^6-58*q^3*x^6-23*q^4*x^6-32*q^5*x^6-69*q^6*x^6-50*q^7*x^6-40*q^8*x^6-12*q^9*x^6-17*q^10*x^6-16*q^11*x^6-30*q^12*x^6-16*q^13*x^6-10*q^14*x^6-6*q^15*x^6-q^16*x^6-3*q^17*x^6-4*q^18*x^6-3*q^19*x^6-5*q^20*x^6-4*q^-6*x^7-4*q^-5*x^7-20*q^-4*x^7-37*q^-3*x^7-72*q^-2*x^7-80*q^-1*x^7-177*x^7-98*q*x^7-249*q^2*x^7-156*q^3*x^7-82*q^4*x^7-129*q^5*x^7-248*q^6*x^7-205*q^7*x^7-177*q^8*x^7-93*q^9*x^7-94*q^10*x^7-93*q^11*x^7-149*q^12*x^7-114*q^13*x^7-101*q^14*x^7-66*q^15*x^7-37*q^16*x^7-32*q^17*x^7-40*q^18*x^7-35*q^19*x^7-50*q^20*x^7-29*q^21*x^7-20*q^22*x^7-12*q^23*x^7-9*q^24*x^7-2*q^25*x^7-6*q^26*x^7-6*q^27*x^7-6*q^28*x^7-4*q^29*x^7-6*q^30*x^7-2*q^-9*x^8-6*q^-8*x^8-9*q^-7*x^8-30*q^-6*x^8-38*q^-5*x^8-100*q^-4*x^8-136*q^-3*x^8-209*q^-2*x^8-253*q^-1*x^8-476*x^8-389*q*x^8-612*q^2*x^8-408*q^3*x^8-297*q^4*x^8-490*q^5*x^8-800*q^6*x^8-742*q^7*x^8-623*q^8*x^8-411*q^9*x^8-421*q^10*x^8-440*q^11*x^8-611*q^12*x^8-564*q^13*x^8-539*q^14*x^8-418*q^15*x^8-297*q^16*x^8-245*q^17*x^8-248*q^18*x^8-249*q^19*x^8-306*q^20*x^8-259*q^21*x^8-223*q^22*x^8-168*q^23*x^8-130*q^24*x^8-75*q^25*x^8-79*q^26*x^8-74*q^27*x^8-79*q^28*x^8-70*q^29*x^8-80*q^30*x^8-52*q^31*x^8-36*q^32*x^8-25*q^33*x^8-17*q^34*x^8-12*q^35*x^8-7*q^36*x^8-9*q^37*x^8-11*q^38*x^8-9*q^39*x^8-8*q^40*x^8-5*q^41*x^8-7*q^42*x^8-4*q^-12*x^9-4*q^-11*x^9-14*q^-10*x^9-26*q^-9*x^9-51*q^-8*x^9-71*q^-7*x^9-153*q^-6*x^9-204*q^-5*x^9-372*q^-4*x^9-456*q^-3*x^9-673*q^-2*x^9-873*q^-1*x^9-1345*x^9-1207*q*x^9-1490*q^2*x^9-1136*q^3*x^9-1152*q^4*x^9-1750*q^5*x^9-2484*q^6*x^9-2362*q^7*x^9-2019*q^8*x^9-1505*q^9*x^9-1609*q^10*x^9-1813*q^11*x^9-2310*q^12*x^9-2308*q^13*x^9-2274*q^14*x^9-1922*q^15*x^9-1574*q^16*x^9-1324*q^17*x^9-1308*q^18*x^9-1319*q^19*x^9-1523*q^20*x^9-1463*q^21*x^9-1397*q^22*x^9-1204*q^23*x^9-1009*q^24*x^9-737*q^25*x^9-673*q^26*x^9-593*q^27*x^9-604*q^28*x^9-591*q^29*x^9-637*q^30*x^9-547*q^31*x^9-481*q^32*x^9-379*q^33*x^9-309*q^34*x^9-228*q^35*x^9-177*q^36*x^9-154*q^37*x^9-161*q^38*x^9-148*q^39*x^9-147*q^40*x^9-125*q^41*x^9-130*q^42*x^9-87*q^43*x^9-66*q^44*x^9-45*q^45*x^9-34*q^46*x^9-24*q^47*x^9-21*q^48*x^9-12*q^49*x^9-18*q^50*x^9-16*q^51*x^9-16*q^52*x^9-12*q^53*x^9-10*q^54*x^9-6*q^55*x^9-8*q^56*x^9-2*q^-16*x^10-6*q^-15*x^10-9*q^-14*x^10-18*q^-13*x^10-46*q^-12*x^10-55*q^-11*x^10-115*q^-10*x^10-170*q^-9*x^10-279*q^-8*x^10-384*q^-7*x^10-667*q^-6*x^10-861*q^-5*x^10-1295*q^-4*x^10-1627*q^-3*x^10-2284*q^-2*x^10-2873*q^-1*x^10-3699*x^10-3439*q*x^10-3866*q^2*x^10-3647*q^3*x^10-4336*q^4*x^10-5945*q^5*x^10-7413*q^6*x^10-7042*q^7*x^10-6154*q^8*x^10-5220*q^9*x^10-5765*q^10*x^10-6791*q^11*x^10-8288*q^12*x^10-8543*q^13*x^10-8428*q^14*x^10-7524*q^15*x^10-6591*q^16*x^10-5916*q^17*x^10-5860*q^18*x^10-6020*q^19*x^10-6658*q^20*x^10-6780*q^21*x^10-6744*q^22*x^10-6255*q^23*x^10-5597*q^24*x^10-4634*q^25*x^10-4169*q^26*x^10-3717*q^27*x^10-3635*q^28*x^10-3618*q^29*x^10-3804*q^30*x^10-3623*q^31*x^10-3454*q^32*x^10-3079*q^33*x^10-2687*q^34*x^10-2218*q^35*x^10-1849*q^36*x^10-1585*q^37*x^10-1483*q^38*x^10-1391*q^39*x^10-1360*q^40*x^10-1302*q^41*x^10-1301*q^42*x^10-1128*q^43*x^10-993*q^44*x^10-815*q^45*x^10-674*q^46*x^10-537*q^47*x^10-448*q^48*x^10-344*q^49*x^10-335*q^50*x^10-307*q^51*x^10-301*q^52*x^10-274*q^53*x^10-255*q^54*x^10-216*q^55*x^10-205*q^56*x^10-149*q^57*x^10-110*q^58*x^10-83*q^59*x^10-63*q^60*x^10-47*q^61*x^10-39*q^62*x^10-33*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_40 | [-1, 2, -1, 2, 3, -4, -4, 3, -4, 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] | -q*x^3-4*q*x^4-10*q*x^5-20*q*x^6-q^3*x^6-q^-3*x^7-q^-2*x^7+q^-1*x^7-35*q*x^7-q^2*x^7-4*q^3*x^7+q^4*x^7-2*q^-5*x^8-4*q^-4*x^8-6*q^-3*x^8+4*q^-1*x^8-58*q*x^8-4*q^2*x^8-11*q^3*x^8+4*q^4*x^8+2*q^5*x^8-q^-8*x^9-3*q^-7*x^9-7*q^-6*x^9-14*q^-5*x^9-18*q^-4*x^9-9*q^-3*x^9+6*q^-2*x^9+9*q^-1*x^9-4*x^9-91*q*x^9-13*q^2*x^9-24*q^3*x^9+10*q^4*x^9+8*q^5*x^9+2*q^6*x^9-q^7*x^9-2*q^-11*x^10-2*q^-10*x^10-6*q^-9*x^10-12*q^-8*x^10-22*q^-7*x^10-34*q^-6*x^10-46*q^-5*x^10-32*q^-4*x^10-6*q^-3*x^10+16*q^-2*x^10+9*q^-1*x^10-14*x^10-141*q*x^10-31*q^2*x^10-48*q^3*x^10+20*q^4*x^10+19*q^5*x^10+7*q^6*x^10-q^7*x^10+q^8*x^10-q^9*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12a_40 | [1, -2, -2, -3, 4, 1, 4, 1, -3, 2, 2, 3, 4, -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+2*q^-1*x^6+6*x^6-57*q*x^6+6*q^2*x^6+2*q^3*x^6-q^-3*x^7+13*q^-1*x^7+20*x^7-133*q*x^7+19*q^2*x^7+13*q^3*x^7+q^4*x^7-q^5*x^7-2*q^-5*x^8-5*q^-4*x^8-10*q^-3*x^8+2*q^-2*x^8+47*q^-1*x^8+50*x^8-284*q*x^8+44*q^2*x^8+45*q^3*x^8+9*q^4*x^8-6*q^5*x^8-6*q^6*x^8-2*q^7*x^8-q^-8*x^9-3*q^-7*x^9-9*q^-6*x^9-13*q^-5*x^9-40*q^-4*x^9-46*q^-3*x^9+11*q^-2*x^9+133*q^-1*x^9+97*x^9-569*q*x^9+74*q^2*x^9+121*q^3*x^9+37*q^4*x^9-15*q^5*x^9-37*q^6*x^9-21*q^7*x^9-10*q^8*x^9-3*q^9*x^9-q^10*x^9-2*q^-11*x^10-2*q^-10*x^10-5*q^-9*x^10-16*q^-8*x^10-25*q^-7*x^10-35*q^-6*x^10-69*q^-5*x^10-173*q^-4*x^10-148*q^-3*x^10+51*q^-2*x^10+318*q^-1*x^10+158*x^10-1102*q*x^10+87*q^2*x^10+271*q^3*x^10+125*q^4*x^10-18*q^5*x^10-117*q^6*x^10-98*q^7*x^10-72*q^8*x^10-33*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 |
| 12n_41 | [-1, 2, 3, -1, -2, -2, -2, 3, 2, 4, -3, 4] | [1, -1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1] | -q^-1*x^2-3*q^-1*x^3-q^-2*x^4-6*q^-1*x^4-x^4-2*q^-5*x^5-3*q^-2*x^5-11*q^-1*x^5-3*x^5-2*q*x^5-6*q^-5*x^6-2*q^-4*x^6-q^-3*x^6-6*q^-2*x^6-19*q^-1*x^6-7*x^6-6*q*x^6-3*q^2*x^6-q^3*x^6-2*q^-8*x^7-13*q^-5*x^7-8*q^-4*x^7-6*q^-3*x^7-11*q^-2*x^7-31*q^-1*x^7-16*x^7-13*q*x^7-9*q^2*x^7-7*q^3*x^7-2*q^4*x^7-2*q^5*x^7-3*q^-13*x^8-q^-12*x^8+2*q^-10*x^8-4*q^-8*x^8-3*q^-7*x^8-2*q^-6*x^8-24*q^-5*x^8-21*q^-4*x^8-20*q^-3*x^8-24*q^-2*x^8-49*q^-1*x^8-31*x^8-30*q*x^8-20*q^2*x^8-18*q^3*x^8-11*q^4*x^8-9*q^5*x^8-4*q^6*x^8-3*q^7*x^8-q^8*x^8+q^-15*x^9-10*q^-13*x^9-7*q^-12*x^9-2*q^-11*x^9+6*q^-10*x^9+5*q^-9*x^9-7*q^-8*x^9-10*q^-7*x^9-11*q^-6*x^9-41*q^-5*x^9-43*q^-4*x^9-49*q^-3*x^9-56*q^-2*x^9-86*q^-1*x^9-58*x^9-60*q*x^9-47*q^2*x^9-39*q^3*x^9-29*q^4*x^9-27*q^5*x^9-16*q^6*x^9-15*q^7*x^9-9*q^8*x^9-6*q^9*x^9-2*q^10*x^9-2*q^11*x^9-3*q^-18*x^10-4*q^-17*x^10+6*q^-15*x^10+4*q^-14*x^10-21*q^-13*x^10-19*q^-12*x^10-12*q^-11*x^10+13*q^-10*x^10+13*q^-9*x^10-7*q^-8*x^10-24*q^-7*x^10-32*q^-6*x^10-76*q^-5*x^10-78*q^-4*x^10-96*q^-3*x^10-116*q^-2*x^10-162*q^-1*x^10-121*x^10-120*q*x^10-101*q^2*x^10-90*q^3*x^10-65*q^4*x^10-63*q^5*x^10-46*q^6*x^10-42*q^7*x^10-32*q^8*x^10-27*q^9*x^10-17*q^10*x^10-15*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_42 | [-1, 2, 3, -1, -2, 3, 2, 4, -3, 4, 4, 4] | [1, -1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1] | -q*x^2-2*q^-1*x^3-3*q*x^3-3*q^-5*x^4-q^-4*x^4-6*q^-1*x^4-x^4-6*q*x^4+q^2*x^4-4*q^-11*x^5-2*q^-10*x^5-2*q^-9*x^5+q^-7*x^5-10*q^-5*x^5-5*q^-4*x^5-12*q^-1*x^5-x^5-11*q*x^5+3*q^2*x^5-5*q^-19*x^6-3*q^-18*x^6-4*q^-17*x^6-3*q^-16*x^6-q^-15*x^6+2*q^-14*x^6+2*q^-13*x^6-14*q^-11*x^6-11*q^-10*x^6-10*q^-9*x^6+6*q^-7*x^6+2*q^-6*x^6-21*q^-5*x^6-7*q^-4*x^6-q^-3*x^6-q^-2*x^6-21*q^-1*x^6-17*q*x^6+4*q^2*x^6-2*q^4*x^6-6*q^-29*x^7-4*q^-28*x^7-6*q^-27*x^7-6*q^-26*x^7-6*q^-25*x^7-2*q^-24*x^7+q^-23*x^7+4*q^-22*x^7+4*q^-21*x^7+q^-20*x^7-18*q^-19*x^7-17*q^-18*x^7-22*q^-17*x^7-18*q^-16*x^7-5*q^-15*x^7+10*q^-14*x^7+15*q^-13*x^7+7*q^-12*x^7-28*q^-11*x^7-27*q^-10*x^7-24*q^-9*x^7+6*q^-8*x^7+17*q^-7*x^7+5*q^-6*x^7-32*q^-5*x^7-6*q^-4*x^7-q^-3*x^7-7*q^-2*x^7-36*q^-1*x^7+x^7-26*q*x^7+q^2*x^7-3*q^3*x^7-6*q^4*x^7-2*q^5*x^7-7*q^-41*x^8-5*q^-40*x^8-8*q^-39*x^8-9*q^-38*x^8-11*q^-37*x^8-9*q^-36*x^8-7*q^-35*x^8+3*q^-33*x^8+7*q^-32*x^8+8*q^-31*x^8+4*q^-30*x^8-20*q^-29*x^8-23*q^-28*x^8-34*q^-27*x^8-39*q^-26*x^8-37*q^-25*x^8-16*q^-24*x^8+5*q^-23*x^8+25*q^-22*x^8+32*q^-21*x^8+22*q^-20*x^8-28*q^-19*x^8-39*q^-18*x^8-67*q^-17*x^8-52*q^-16*x^8-13*q^-15*x^8+38*q^-14*x^8+52*q^-13*x^8+30*q^-12*x^8-46*q^-11*x^8-42*q^-10*x^8-26*q^-9*x^8+25*q^-8*x^8+29*q^-7*x^8+6*q^-6*x^8-48*q^-5*x^8-2*q^-4*x^8-5*q^-3*x^8-25*q^-2*x^8-65*q^-1*x^8-2*x^8-39*q*x^8-9*q^2*x^8-15*q^3*x^8-15*q^4*x^8-5*q^5*x^8-2*q^6*x^8+2*q^7*x^8-8*q^-55*x^9-6*q^-54*x^9-10*q^-53*x^9-12*q^-52*x^9-16*q^-51*x^9-16*q^-50*x^9-18*q^-49*x^9-12*q^-48*x^9-7*q^-47*x^9+6*q^-45*x^9+13*q^-44*x^9+14*q^-43*x^9+11*q^-42*x^9-18*q^-41*x^9-25*q^-40*x^9-45*q^-39*x^9-60*q^-38*x^9-73*q^-37*x^9-68*q^-36*x^9-49*q^-35*x^9-12*q^-34*x^9+19*q^-33*x^9+50*q^-32*x^9+67*q^-31*x^9+56*q^-30*x^9-7*q^-29*x^9-37*q^-28*x^9-95*q^-27*x^9-128*q^-26*x^9-127*q^-25*x^9-64*q^-24*x^9+11*q^-23*x^9+94*q^-22*x^9+130*q^-21*x^9+109*q^-20*x^9-7*q^-19*x^9-66*q^-18*x^9-137*q^-17*x^9-101*q^-16*x^9+q^-15*x^9+101*q^-14*x^9+115*q^-13*x^9+56*q^-12*x^9-64*q^-11*x^9-34*q^-10*x^9+3*q^-9*x^9+51*q^-8*x^9+28*q^-7*x^9-15*q^-6*x^9-77*q^-5*x^9+q^-4*x^9-14*q^-3*x^9-64*q^-2*x^9-121*q^-1*x^9-20*x^9-59*q*x^9-24*q^2*x^9-39*q^3*x^9-36*q^4*x^9-9*q^5*x^9-4*q^6*x^9+4*q^7*x^9+2*q^8*x^9-9*q^-71*x^10-7*q^-70*x^10-12*q^-69*x^10-15*q^-68*x^10-21*q^-67*x^10-23*q^-66*x^10-29*q^-65*x^10-27*q^-64*x^10-26*q^-63*x^10-17*q^-62*x^10-11*q^-61*x^10+q^-60*x^10+9*q^-59*x^10+21*q^-58*x^10+26*q^-57*x^10+23*q^-56*x^10-9*q^-55*x^10-19*q^-54*x^10-48*q^-53*x^10-77*q^-52*x^10-107*q^-51*x^10-125*q^-50*x^10-134*q^-49*x^10-106*q^-48*x^10-68*q^-47*x^10-16*q^-46*x^10+39*q^-45*x^10+96*q^-44*x^10+127*q^-43*x^10+129*q^-42*x^10+55*q^-41*x^10+9*q^-40*x^10-90*q^-39*x^10-175*q^-38*x^10-257*q^-37*x^10-262*q^-36*x^10-213*q^-35*x^10-87*q^-34*x^10+43*q^-33*x^10+196*q^-32*x^10+288*q^-31*x^10+293*q^-30*x^10+155*q^-29*x^10+30*q^-28*x^10-173*q^-27*x^10-308*q^-26*x^10-321*q^-25*x^10-170*q^-24*x^10+42*q^-23*x^10+261*q^-22*x^10+355*q^-21*x^10+290*q^-20*x^10+38*q^-19*x^10-100*q^-18*x^10-211*q^-17*x^10-113*q^-16*x^10+66*q^-15*x^10+199*q^-14*x^10+159*q^-13*x^10+64*q^-12*x^10-61*q^-11*x^10+37*q^-10*x^10+75*q^-9*x^10+76*q^-8*x^10-24*q^-7*x^10-89*q^-6*x^10-138*q^-5*x^10+11*q^-4*x^10-19*q^-3*x^10-119*q^-2*x^10-212*q^-1*x^10-68*x^10-94*q*x^10-45*q^2*x^10-72*q^3*x^10-72*q^4*x^10-23*q^5*x^10-4*q^6*x^10+7*q^7*x^10+2*q^8*x^10-q^10*x^10-3*q^11*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_43 | [-1, 2, -1, 2, 3, -4, 2, 2, 3, -4, -4, -4] | [1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, -1, 1, 1, -1, 1, 1, -1, 1, -1, 1, 1, -1] | -x^3-4*x^4-10*x^5-2*q^-2*x^6-20*x^6-3*q^2*x^6-q^-4*x^7-5*q^-3*x^7-7*q^-2*x^7-35*x^7-q*x^7-12*q^2*x^7-5*q^3*x^7-2*q^-6*x^8-2*q^-5*x^8-10*q^-4*x^8-18*q^-3*x^8-16*q^-2*x^8-58*x^8-4*q*x^8-33*q^2*x^8-20*q^3*x^8-6*q^4*x^8-q^-9*x^9-3*q^-8*x^9-4*q^-7*x^9-9*q^-6*x^9-14*q^-5*x^9-33*q^-4*x^9-42*q^-3*x^9-31*q^-2*x^9-5*q^-1*x^9-97*x^9-16*q*x^9-72*q^2*x^9-54*q^3*x^9-24*q^4*x^9-9*q^5*x^9-6*q^6*x^9-2*q^-12*x^10-2*q^-11*x^10-6*q^-10*x^10-10*q^-9*x^10-18*q^-8*x^10-16*q^-7*x^10-30*q^-6*x^10-46*q^-5*x^10-78*q^-4*x^10-84*q^-3*x^10-65*q^-2*x^10-36*q^-1*x^10-172*x^10-51*q*x^10-143*q^2*x^10-116*q^3*x^10-67*q^4*x^10-39*q^5*x^10-38*q^6*x^10-15*q^7*x^10-6*q^8*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_44 | [-1, 4, -3, 2, -1, 4, 4, 4, -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] | -q*x^2-3*q*x^3-2*q^3*x^3-x^4-6*q*x^4-q^2*x^4-6*q^3*x^4-q^6*x^4-3*q^7*x^4-2*q^-1*x^5-3*x^5-13*q*x^5-5*q^2*x^5-12*q^3*x^5+2*q^4*x^5-4*q^5*x^5-7*q^6*x^5-10*q^7*x^5+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^6-11*x^6-28*q*x^6-13*q^2*x^6-20*q^3*x^6-q^4*x^6-20*q^5*x^6-23*q^6*x^6-20*q^7*x^6+4*q^8*x^6+q^9*x^6-7*q^10*x^6-14*q^11*x^6-14*q^12*x^6-14*q^13*x^6+2*q^15*x^6+2*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^7-13*q^-2*x^7-24*q^-1*x^7-33*x^7-57*q*x^7-26*q^2*x^7-41*q^3*x^7-26*q^4*x^7-61*q^5*x^7-50*q^6*x^7-30*q^7*x^7+6*q^8*x^7-17*q^9*x^7-41*q^10*x^7-54*q^11*x^7-42*q^12*x^7-28*q^13*x^7+8*q^14*x^7+6*q^15*x^7-17*q^17*x^7-26*q^18*x^7-28*q^19*x^7-21*q^20*x^7-18*q^21*x^7+q^22*x^7+4*q^23*x^7+4*q^24*x^7+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^8-19*q^-4*x^8-35*q^-3*x^8-46*q^-2*x^8-73*q^-1*x^8-83*x^8-109*q*x^8-68*q^2*x^8-111*q^3*x^8-101*q^4*x^8-137*q^5*x^8-90*q^6*x^8-56*q^7*x^8-31*q^8*x^8-103*q^9*x^8-144*q^10*x^8-134*q^11*x^8-80*q^12*x^8-40*q^13*x^8+16*q^14*x^8-14*q^15*x^8-49*q^16*x^8-100*q^17*x^8-110*q^18*x^8-100*q^19*x^8-61*q^20*x^8-31*q^21*x^8+19*q^22*x^8+17*q^23*x^8+7*q^24*x^8-14*q^25*x^8-37*q^26*x^8-52*q^27*x^8-51*q^28*x^8-42*q^29*x^8-28*q^30*x^8-20*q^31*x^8+4*q^32*x^8+8*q^33*x^8+7*q^34*x^8+3*q^35*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^9-25*q^-7*x^9-35*q^-6*x^9-62*q^-5*x^9-77*q^-4*x^9-118*q^-3*x^9-144*q^-2*x^9-192*q^-1*x^9-194*x^9-243*q*x^9-211*q^2*x^9-292*q^3*x^9-258*q^4*x^9-272*q^5*x^9-194*q^6*x^9-190*q^7*x^9-220*q^8*x^9-347*q^9*x^9-356*q^10*x^9-258*q^11*x^9-126*q^12*x^9-86*q^13*x^9-60*q^14*x^9-180*q^15*x^9-271*q^16*x^9-346*q^17*x^9-312*q^18*x^9-233*q^19*x^9-107*q^20*x^9-27*q^21*x^9+46*q^22*x^9-5*q^23*x^9-71*q^24*x^9-157*q^25*x^9-219*q^26*x^9-240*q^27*x^9-200*q^28*x^9-144*q^29*x^9-69*q^30*x^9-18*q^31*x^9+46*q^32*x^9+40*q^33*x^9+19*q^34*x^9-16*q^35*x^9-48*q^36*x^9-85*q^37*x^9-96*q^38*x^9-95*q^39*x^9-76*q^40*x^9-55*q^41*x^9-31*q^42*x^9-18*q^43*x^9+11*q^44*x^9+14*q^45*x^9+13*q^46*x^9+6*q^47*x^9-7*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^10-32*q^-10*x^10-58*q^-9*x^10-81*q^-8*x^10-120*q^-7*x^10-158*q^-6*x^10-223*q^-5*x^10-264*q^-4*x^10-358*q^-3*x^10-409*q^-2*x^10-484*q^-1*x^10-500*x^10-613*q*x^10-590*q^2*x^10-685*q^3*x^10-598*q^4*x^10-624*q^5*x^10-587*q^6*x^10-685*q^7*x^10-758*q^8*x^10-860*q^9*x^10-715*q^10*x^10-477*q^11*x^10-311*q^12*x^10-404*q^13*x^10-533*q^14*x^10-804*q^15*x^10-891*q^16*x^10-880*q^17*x^10-662*q^18*x^10-425*q^19*x^10-178*q^20*x^10-105*q^21*x^10-107*q^22*x^10-325*q^23*x^10-543*q^24*x^10-731*q^25*x^10-797*q^26*x^10-725*q^27*x^10-521*q^28*x^10-298*q^29*x^10-72*q^30*x^10+48*q^31*x^10+120*q^32*x^10+13*q^33*x^10-122*q^34*x^10-283*q^35*x^10-400*q^36*x^10-494*q^37*x^10-474*q^38*x^10-408*q^39*x^10-279*q^40*x^10-160*q^41*x^10-40*q^42*x^10+32*q^43*x^10+102*q^44*x^10+80*q^45*x^10+39*q^46*x^10-24*q^47*x^10-83*q^48*x^10-133*q^49*x^10-169*q^50*x^10-183*q^51*x^10-165*q^52*x^10-136*q^53*x^10-97*q^54*x^10-60*q^55*x^10-26*q^56*x^10-9*q^57*x^10+23*q^58*x^10+26*q^59*x^10+21*q^60*x^10+9*q^61*x^10+q^62*x^10-11*q^63*x^10-17*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 | 12 | 12 | Yes | 12 |
| 12a_45 | [1, 2, 2, 3, -4, 1, -4, 1, -2, -3, -3, -4, -4, -4] | [1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1] | -q^-1*x^3-7*q^-1*x^4-2*q^-2*x^5-28*q^-1*x^5-4*x^5-q^-4*x^6-10*q^-3*x^6-13*q^-2*x^6-91*q^-1*x^6-27*x^6-12*q*x^6-q^2*x^6-3*q^-6*x^7-12*q^-5*x^7-34*q^-4*x^7-64*q^-3*x^7-71*q^-2*x^7-262*q^-1*x^7-126*x^7-81*q*x^7-37*q^2*x^7-15*q^3*x^7-3*q^4*x^7-3*q^-9*x^8-9*q^-8*x^8-33*q^-7*x^8-62*q^-6*x^8-142*q^-5*x^8-224*q^-4*x^8-314*q^-3*x^8-315*q^-2*x^8-741*q^-1*x^8-474*x^8-380*q*x^8-247*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-q^-13*x^9-8*q^-12*x^9-17*q^-11*x^9-44*q^-10*x^9-101*q^-9*x^9-187*q^-8*x^9-356*q^-7*x^9-554*q^-6*x^9-849*q^-5*x^9-1113*q^-4*x^9-1326*q^-3*x^9-1313*q^-2*x^9-2148*q^-1*x^9-1676*x^9-1484*q*x^9-1170*q^2*x^9-972*q^3*x^9-678*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^9-3*q^-17*x^10-9*q^-16*x^10-27*q^-15*x^10-49*q^-14*x^10-114*q^-13*x^10-205*q^-12*x^10-391*q^-11*x^10-660*q^-10*x^10-1112*q^-9*x^10-1634*q^-8*x^10-2440*q^-7*x^10-3173*q^-6*x^10-4113*q^-5*x^10-4807*q^-4*x^10-5316*q^-3*x^10-5207*q^-2*x^10-6726*q^-1*x^10-5859*x^10-5491*q*x^10-4760*q^2*x^10-4362*q^3*x^10-3629*q^4*x^10-3001*q^5*x^10-2085*q^6*x^10-1443*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 |
| 12n_45 | [-1, 2, 3, -1, -2, 3, 2, 4, 4, -3, 4, -3] | [-1, -1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1] | -x^2-3*x^3+2*q^-3*x^4-q^-1*x^4-6*x^4+q*x^4+6*q^-3*x^5-3*q^-1*x^5-11*x^5+3*q*x^5+2*q^2*x^5-3*q^-9*x^6-q^-8*x^6+2*q^-6*x^6+11*q^-3*x^6-3*q^-2*x^6-7*q^-1*x^6-17*x^6+5*q*x^6+6*q^2*x^6+2*q^3*x^6+q^-11*x^7-10*q^-9*x^7-5*q^-8*x^7+4*q^-6*x^7+2*q^-5*x^7+17*q^-3*x^7-11*q^-2*x^7-18*q^-1*x^7-27*x^7+10*q*x^7+11*q^2*x^7+6*q^3*x^7+2*q^4*x^7-2*q^5*x^7+4*q^-18*x^8+2*q^-17*x^8+2*q^-16*x^8-3*q^-14*x^8-4*q^-13*x^8+6*q^-11*x^8+2*q^-10*x^8-21*q^-9*x^8-9*q^-8*x^8-q^-7*x^8+8*q^-6*x^8+2*q^-5*x^8+23*q^-3*x^8-23*q^-2*x^8-38*q^-1*x^8-46*x^8+15*q*x^8+22*q^2*x^8+11*q^3*x^8+6*q^4*x^8-4*q^5*x^8-3*q^6*x^8-3*q^7*x^8-2*q^-21*x^9-2*q^-20*x^9+14*q^-18*x^9+11*q^-17*x^9+11*q^-16*x^9+2*q^-15*x^9-13*q^-14*x^9-14*q^-13*x^9+2*q^-12*x^9+15*q^-11*x^9+q^-10*x^9-36*q^-9*x^9-14*q^-8*x^9+9*q^-7*x^9+19*q^-6*x^9+5*q^-5*x^9-7*q^-4*x^9+26*q^-3*x^9-41*q^-2*x^9-65*q^-1*x^9-75*x^9+17*q*x^9+40*q^2*x^9+27*q^3*x^9+10*q^4*x^9-6*q^5*x^9-7*q^6*x^9-13*q^7*x^9-4*q^8*x^9-2*q^9*x^9-5*q^-30*x^10-3*q^-29*x^10-4*q^-28*x^10-3*q^-27*x^10-q^-26*x^10+4*q^-25*x^10+6*q^-24*x^10+8*q^-23*x^10+2*q^-22*x^10-10*q^-21*x^10-15*q^-20*x^10-10*q^-19*x^10+27*q^-18*x^10+28*q^-17*x^10+29*q^-16*x^10-28*q^-14*x^10-19*q^-13*x^10+14*q^-12*x^10+23*q^-11*x^10-12*q^-10*x^10-71*q^-9*x^10-22*q^-8*x^10+34*q^-7*x^10+55*q^-6*x^10+21*q^-5*x^10-17*q^-4*x^10+15*q^-3*x^10-70*q^-2*x^10-101*q^-1*x^10-111*x^10+16*q*x^10+66*q^2*x^10+59*q^3*x^10+34*q^4*x^10-9*q^5*x^10-14*q^6*x^10-28*q^7*x^10-17*q^8*x^10-11*q^9*x^10-2*q^10*x^10-q^11*x^10+3*q^12*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12a_48 | [1, -2, -2, 3, -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] | -x^3-7*x^4-28*x^5+q^-2*x^6-88*x^6+2*q^2*x^6-q^-4*x^7+q^-3*x^7+8*q^-2*x^7-5*q^-1*x^7-238*x^7-8*q*x^7+15*q^2*x^7+7*q^3*x^7-q^4*x^7-2*q^-6*x^8-4*q^-5*x^8-8*q^-4*x^8+10*q^-3*x^8+33*q^-2*x^8-34*q^-1*x^8-590*x^8-54*q*x^8+53*q^2*x^8+50*q^3*x^8+13*q^4*x^8-3*q^5*x^8-2*q^6*x^8-q^-9*x^9-3*q^-8*x^9-8*q^-7*x^9-19*q^-6*x^9-36*q^-5*x^9-31*q^-4*x^9+57*q^-3*x^9+105*q^-2*x^9-152*q^-1*x^9-1380*x^9-241*q*x^9+135*q^2*x^9+207*q^3*x^9+110*q^4*x^9+23*q^5*x^9-14*q^6*x^9-8*q^7*x^9-3*q^8*x^9-q^9*x^9-2*q^-12*x^10-2*q^-11*x^10-6*q^-10*x^10-18*q^-9*x^10-32*q^-8*x^10-58*q^-7*x^10-117*q^-6*x^10-170*q^-5*x^10-68*q^-4*x^10+244*q^-3*x^10+283*q^-2*x^10-530*q^-1*x^10-3117*x^10-858*q*x^10+250*q^2*x^10+673*q^3*x^10+511*q^4*x^10+228*q^5*x^10+32*q^6*x^10-50*q^7*x^10-35*q^8*x^10-22*q^9*x^10-5*q^10*x^10-2*q^11*x^10-2*q^12*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12a_50 | [1, 2, 2, 3, -4, 1, -4, 1, -2, -4, -4, -3, -3, -4] | [1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, 1, 1, 1] | -q^-1*x^3-7*q^-1*x^4-4*q^-2*x^5-28*q^-1*x^5-4*x^5-q^-4*x^6-15*q^-3*x^6-27*q^-2*x^6-95*q^-1*x^6-27*x^6-12*q*x^6-q^2*x^6-3*q^-6*x^7-15*q^-5*x^7-44*q^-4*x^7-103*q^-3*x^7-143*q^-2*x^7-297*q^-1*x^7-139*x^7-82*q*x^7-37*q^2*x^7-15*q^3*x^7-3*q^4*x^7-3*q^-9*x^8-10*q^-8*x^8-42*q^-7*x^8-79*q^-6*x^8-190*q^-5*x^8-325*q^-4*x^8-535*q^-3*x^8-631*q^-2*x^8-957*q^-1*x^8-593*x^8-431*q*x^8-264*q^2*x^8-173*q^3*x^8-79*q^4*x^8-42*q^5*x^8-10*q^6*x^8-3*q^7*x^8-q^-13*x^9-8*q^-12*x^9-20*q^-11*x^9-56*q^-10*x^9-132*q^-9*x^9-249*q^-8*x^9-491*q^-7*x^9-782*q^-6*x^9-1272*q^-5*x^9-1790*q^-4*x^9-2393*q^-3*x^9-2644*q^-2*x^9-3228*q^-1*x^9-2439*x^9-1952*q*x^9-1438*q^2*x^9-1095*q^3*x^9-731*q^4*x^9-475*q^5*x^9-246*q^6*x^9-131*q^7*x^9-56*q^8*x^9-20*q^9*x^9-8*q^10*x^9-q^11*x^9-3*q^-17*x^10-9*q^-16*x^10-30*q^-15*x^10-61*q^-14*x^10-150*q^-13*x^10-275*q^-12*x^10-538*q^-11*x^10-929*q^-10*x^10-1589*q^-9*x^10-2405*q^-8*x^10-3710*q^-7*x^10-5041*q^-6*x^10-6874*q^-5*x^10-8517*q^-4*x^10-10183*q^-3*x^10-10732*q^-2*x^10-11688*q^-1*x^10-9868*x^10-8500*q*x^10-6899*q^2*x^10-5759*q^3*x^10-4461*q^4*x^10-3433*q^5*x^10-2293*q^6*x^10-1527*q^7*x^10-903*q^8*x^10-526*q^9*x^10-272*q^10*x^10-150*q^11*x^10-61*q^12*x^10-30*q^13*x^10-9*q^14*x^10-3*q^15*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_52 | [-1, 2, -1, 2, -3, -4, -4, -3, -2, -2, 3, -4, 3, 4] | [1, -1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, 1, 1, -1] | -q^-1*x^2-8*q^-1*x^3-4*q^-2*x^4-36*q^-1*x^4-2*x^4-8*q^-3*x^5-32*q^-2*x^5-127*q^-1*x^5-16*x^5+2*q*x^5-4*q^-5*x^6-12*q^-4*x^6-70*q^-3*x^6-163*q^-2*x^6-394*q^-1*x^6-77*x^6+18*q*x^6+24*q^2*x^6-5*q^3*x^6-8*q^-7*x^7-8*q^-6*x^7-48*q^-5*x^7-127*q^-4*x^7-385*q^-3*x^7-669*q^-2*x^7-1128*q^-1*x^7-273*x^7+123*q*x^7+203*q^2*x^7+60*q^3*x^7-20*q^4*x^7-12*q^5*x^7-4*q^-10*x^8-12*q^-9*x^8-16*q^-8*x^8-76*q^-7*x^8-110*q^-6*x^8-370*q^-5*x^8-800*q^-4*x^8-1692*q^-3*x^8-2382*q^-2*x^8-3031*q^-1*x^8-695*x^8+723*q*x^8+1186*q^2*x^8+671*q^3*x^8+120*q^4*x^8-142*q^5*x^8-69*q^6*x^8-26*q^7*x^8-7*q^8*x^8-8*q^-13*x^9-8*q^-12*x^9-24*q^-11*x^9-56*q^-10*x^9-127*q^-9*x^9-196*q^-8*x^9-532*q^-7*x^9-904*q^-6*x^9-2154*q^-5*x^9-3897*q^-4*x^9-6414*q^-3*x^9-7574*q^-2*x^9-7440*q^-1*x^9-846*x^9+3948*q*x^9+5834*q^2*x^9+4288*q^3*x^9+1716*q^4*x^9-219*q^5*x^9-721*q^6*x^9-469*q^7*x^9-224*q^8*x^9-66*q^9*x^9-28*q^10*x^9-16*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^10-122*q^-12*x^10-268*q^-11*x^10-484*q^-10*x^10-948*q^-9*x^10-1527*q^-8*x^10-3227*q^-7*x^10-5500*q^-6*x^10-10396*q^-5*x^10-15943*q^-4*x^10-21558*q^-3*x^10-21299*q^-2*x^10-15307*q^-1*x^10+4303*x^10+19719*q*x^10+26409*q^2*x^10+21727*q^3*x^10+11731*q^4*x^10+1945*q^5*x^10-3095*q^6*x^10-3941*q^7*x^10-2656*q^8*x^10-1302*q^9*x^10-570*q^10*x^10-235*q^11*x^10-110*q^12*x^10-69*q^13*x^10-34*q^14*x^10-9*q^15*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_54 | [1, 3, -2, 3, -2, -1, -1, -1, -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^-2*x^2-q^-4*x^3-2*q^-2*x^3-q^-8*x^4+2*q^-5*x^4-2*q^-4*x^4-2*q^-3*x^4-3*q^-2*x^4-q^-14*x^5+2*q^-10*x^5+2*q^-9*x^5-2*q^-8*x^5-3*q^-7*x^5-3*q^-6*x^5+5*q^-5*x^5-q^-4*x^5-4*q^-3*x^5-8*q^-2*x^5-q^-22*x^6+2*q^-17*x^6+2*q^-16*x^6+2*q^-15*x^6-2*q^-14*x^6-3*q^-13*x^6-4*q^-12*x^6-6*q^-11*x^6+4*q^-10*x^6+9*q^-9*x^6+5*q^-8*x^6-2*q^-7*x^6-13*q^-6*x^6-q^-5*x^6-2*q^-4*x^6-3*q^-3*x^6-13*q^-2*x^6-5*q^-1*x^6-q^-32*x^7+2*q^-26*x^7+2*q^-25*x^7+2*q^-24*x^7+2*q^-23*x^7-2*q^-22*x^7-3*q^-21*x^7-4*q^-20*x^7-7*q^-19*x^7-7*q^-18*x^7+q^-17*x^7+8*q^-16*x^7+15*q^-15*x^7+11*q^-14*x^7+4*q^-13*x^7-9*q^-12*x^7-24*q^-11*x^7-14*q^-10*x^7+5*q^-9*x^7+17*q^-8*x^7+14*q^-7*x^7-15*q^-6*x^7-12*q^-5*x^7-15*q^-4*x^7-8*q^-3*x^7-20*q^-2*x^7-10*q^-1*x^7-6*x^7-q^-44*x^8+2*q^-37*x^8+2*q^-36*x^8+2*q^-35*x^8+2*q^-34*x^8+2*q^-33*x^8-2*q^-32*x^8-3*q^-31*x^8-4*q^-30*x^8-7*q^-29*x^8-8*q^-28*x^8-10*q^-27*x^8+5*q^-25*x^8+14*q^-24*x^8+21*q^-23*x^8+19*q^-22*x^8+12*q^-21*x^8+q^-20*x^8-20*q^-19*x^8-40*q^-18*x^8-34*q^-17*x^8-21*q^-16*x^8+15*q^-15*x^8+35*q^-14*x^8+51*q^-13*x^8+31*q^-12*x^8-18*q^-11*x^8-40*q^-10*x^8-37*q^-9*x^8-5*q^-8*x^8+13*q^-7*x^8-6*q^-6*x^8-11*q^-5*x^8-27*q^-4*x^8-24*q^-3*x^8-37*q^-2*x^8-22*q^-1*x^8-19*x^8-7*q*x^8-q^-58*x^9+2*q^-50*x^9+2*q^-49*x^9+2*q^-48*x^9+2*q^-47*x^9+2*q^-46*x^9+2*q^-45*x^9-2*q^-44*x^9-3*q^-43*x^9-4*q^-42*x^9-7*q^-41*x^9-8*q^-40*x^9-11*q^-39*x^9-11*q^-38*x^9-3*q^-37*x^9+4*q^-36*x^9+11*q^-35*x^9+20*q^-34*x^9+29*q^-33*x^9+27*q^-32*x^9+24*q^-31*x^9+11*q^-30*x^9-8*q^-29*x^9-32*q^-28*x^9-60*q^-27*x^9-62*q^-26*x^9-53*q^-25*x^9-23*q^-24*x^9+22*q^-23*x^9+65*q^-22*x^9+93*q^-21*x^9+98*q^-20*x^9+54*q^-19*x^9-19*q^-18*x^9-78*q^-17*x^9-119*q^-16*x^9-92*q^-15*x^9-36*q^-14*x^9+56*q^-13*x^9+104*q^-12*x^9+72*q^-11*x^9+9*q^-10*x^9-46*q^-9*x^9-60*q^-8*x^9-43*q^-7*x^9-45*q^-6*x^9-27*q^-5*x^9-41*q^-4*x^9-41*q^-3*x^9-66*q^-2*x^9-42*q^-1*x^9-44*x^9-28*q*x^9-16*q^2*x^9-q^-74*x^10+2*q^-65*x^10+2*q^-64*x^10+2*q^-63*x^10+2*q^-62*x^10+2*q^-61*x^10+2*q^-60*x^10+2*q^-59*x^10-2*q^-58*x^10-3*q^-57*x^10-4*q^-56*x^10-7*q^-55*x^10-8*q^-54*x^10-11*q^-53*x^10-12*q^-52*x^10-14*q^-51*x^10-4*q^-50*x^10+q^-49*x^10+10*q^-48*x^10+17*q^-47*x^10+28*q^-46*x^10+37*q^-45*x^10+39*q^-44*x^10+34*q^-43*x^10+25*q^-42*x^10+6*q^-41*x^10-18*q^-40*x^10-50*q^-39*x^10-84*q^-38*x^10-94*q^-37*x^10-94*q^-36*x^10-70*q^-35*x^10-32*q^-34*x^10+37*q^-33*x^10+91*q^-32*x^10+157*q^-31*x^10+178*q^-30*x^10+165*q^-29*x^10+103*q^-28*x^10-9*q^-27*x^10-118*q^-26*x^10-218*q^-25*x^10-251*q^-24*x^10-222*q^-23*x^10-107*q^-22*x^10+37*q^-21*x^10+205*q^-20*x^10+275*q^-19*x^10+250*q^-18*x^10+137*q^-17*x^10-45*q^-16*x^10-180*q^-15*x^10-244*q^-14*x^10-145*q^-13*x^10-12*q^-12*x^10+86*q^-11*x^10+90*q^-10*x^10+34*q^-9*x^10-36*q^-8*x^10-88*q^-7*x^10-123*q^-6*x^10-103*q^-5*x^10-102*q^-4*x^10-97*q^-3*x^10-122*q^-2*x^10-89*q^-1*x^10-84*x^10-68*q*x^10-53*q^2*x^10-25*q^3*x^10-9*q^4*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12a_58 | [-1, 4, -3, -3, 2, -1, 4, -1, 4, -3, 2, 2] | [-1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1] | -x^3-6*x^4+q^-1*x^5-21*x^5+q*x^5+3*q^-2*x^6+6*q^-1*x^6-57*x^6+6*q*x^6+3*q^2*x^6-q^-4*x^7+5*q^-3*x^7+19*q^-2*x^7+21*q^-1*x^7-133*x^7+21*q*x^7+19*q^2*x^7+5*q^3*x^7-q^4*x^7-2*q^-6*x^8-6*q^-5*x^8+4*q^-4*x^8+32*q^-3*x^8+72*q^-2*x^8+55*q^-1*x^8-278*x^8+55*q*x^8+72*q^2*x^8+32*q^3*x^8+4*q^4*x^8-6*q^5*x^8-2*q^6*x^8-q^-9*x^9-3*q^-8*x^9-11*q^-7*x^9-21*q^-6*x^9-17*q^-5*x^9+38*q^-4*x^9+127*q^-3*x^9+210*q^-2*x^9+123*q^-1*x^9-543*x^9+123*q*x^9+210*q^2*x^9+127*q^3*x^9+38*q^4*x^9-17*q^5*x^9-21*q^6*x^9-11*q^7*x^9-3*q^8*x^9-q^9*x^9-2*q^-12*x^10-2*q^-11*x^10-5*q^-10*x^10-18*q^-9*x^10-36*q^-8*x^10-79*q^-7*x^10-67*q^-6*x^10-20*q^-5*x^10+174*q^-4*x^10+387*q^-3*x^10+522*q^-2*x^10+231*q^-1*x^10-1017*x^10+231*q*x^10+522*q^2*x^10+387*q^3*x^10+174*q^4*x^10-20*q^5*x^10-67*q^6*x^10-79*q^7*x^10-36*q^8*x^10-18*q^9*x^10-5*q^10*x^10-2*q^11*x^10-2*q^12*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12a_59 | [1, -2, 1, -2, 3, 3, 2, 2, -3, 4, -3, -3, 4, 4] | [1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1] | -q*x^3-7*q*x^4-28*q*x^5+2*q^-1*x^6-88*q*x^6+q^3*x^6-q^-3*x^7+5*q^-2*x^7+15*q^-1*x^7-7*x^7-238*q*x^7-7*q^2*x^7+8*q^3*x^7+2*q^4*x^7-q^5*x^7-2*q^-5*x^8-3*q^-4*x^8+q^-3*x^8+36*q^-2*x^8+55*q^-1*x^8-47*x^8-594*q*x^8-48*q^2*x^8+26*q^3*x^8+17*q^4*x^8-3*q^5*x^8-4*q^6*x^8-2*q^7*x^8-q^-8*x^9-3*q^-7*x^9-8*q^-6*x^9-13*q^-5*x^9-19*q^-4*x^9+24*q^-3*x^9+149*q^-2*x^9+149*q^-1*x^9-222*x^9-1407*q*x^9-227*q^2*x^9+54*q^3*x^9+71*q^4*x^9+7*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^9-2*q^-11*x^10-2*q^-10*x^10-5*q^-9*x^10-22*q^-8*x^10-30*q^-7*x^10-39*q^-6*x^10-76*q^-5*x^10-83*q^-4*x^10+129*q^-3*x^10+486*q^-2*x^10+289*q^-1*x^10-825*x^10-3268*q*x^10-844*q^2*x^10+23*q^3*x^10+228*q^4*x^10+75*q^5*x^10-52*q^6*x^10-90*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_59 | [1, 2, 2, 3, -4, 1, 1, 2, 2, 2, 3, -4] | [-1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1] | -q^3*x^3-2*q^3*x^4-q^2*x^5-3*q^3*x^5-2*q^4*x^5-2*q*x^6-2*q^2*x^6-4*q^3*x^6-4*q^4*x^6+2*q^5*x^6-q^-1*x^7-3*x^7-4*q*x^7-3*q^2*x^7-7*q^3*x^7-8*q^4*x^7+2*q^5*x^7-2*q^6*x^7-q^7*x^7-2*q^-3*x^8-2*q^-2*x^8-6*q^-1*x^8-6*x^8-6*q*x^8-8*q^2*x^8-14*q^3*x^8-10*q^4*x^8+3*q^5*x^8-2*q^6*x^8+2*q^8*x^8-q^-6*x^9-3*q^-5*x^9-4*q^-4*x^9-7*q^-3*x^9-9*q^-2*x^9-11*q^-1*x^9-11*x^9-16*q*x^9-21*q^2*x^9-17*q^3*x^9-12*q^4*x^9-11*q^6*x^9-q^7*x^9-2*q^8*x^9-5*q^9*x^9-4*q^10*x^9-2*q^-9*x^10-2*q^-8*x^10-6*q^-7*x^10-8*q^-6*x^10-12*q^-5*x^10-12*q^-4*x^10-18*q^-3*x^10-20*q^-2*x^10-24*q^-1*x^10-32*x^10-36*q*x^10-27*q^2*x^10-20*q^3*x^10-22*q^4*x^10-15*q^5*x^10-20*q^6*x^10+6*q^7*x^10-8*q^9*x^10-4*q^10*x^10+6*q^11*x^10+2*q^12*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_60 | [-1, 2, 2, 3, -4, -1, -1, 2, 2, 2, 3, -4] | [-1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1] | -q*x^3-4*q*x^4-10*q*x^5+2*q^2*x^5-20*q*x^6+8*q^2*x^6-q^-3*x^7-q^-2*x^7+q^-1*x^7-2*x^7-35*q*x^7+20*q^2*x^7-q^3*x^7-2*q^4*x^7-2*q^-5*x^8-4*q^-4*x^8-6*q^-3*x^8-8*x^8-57*q*x^8+40*q^2*x^8-5*q^3*x^8-8*q^4*x^8+q^5*x^8-q^-8*x^9-3*q^-7*x^9-7*q^-6*x^9-14*q^-5*x^9-18*q^-4*x^9-7*q^-3*x^9+4*q^-2*x^9-6*q^-1*x^9-25*x^9-84*q*x^9+71*q^2*x^9-14*q^3*x^9-21*q^4*x^9+6*q^5*x^9+2*q^7*x^9-2*q^-11*x^10-2*q^-10*x^10-6*q^-9*x^10-12*q^-8*x^10-22*q^-7*x^10-34*q^-6*x^10-42*q^-5*x^10-20*q^-4*x^10+8*q^-3*x^10+9*q^-2*x^10-34*q^-1*x^10-54*x^10-112*q*x^10+119*q^2*x^10-32*q^3*x^10-43*q^4*x^10+18*q^5*x^10+4*q^7*x^10-q^8*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12a_60 | [-1, -3, 4, -3, -3, -2, 4, -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] | -x^3-7*x^4-28*x^5+q^-2*x^6-88*x^6+2*q^2*x^6-q^-4*x^7+q^-3*x^7+8*q^-2*x^7-5*q^-1*x^7-238*x^7-8*q*x^7+15*q^2*x^7+7*q^3*x^7-q^4*x^7-2*q^-6*x^8-4*q^-5*x^8-8*q^-4*x^8+10*q^-3*x^8+33*q^-2*x^8-34*q^-1*x^8-590*x^8-54*q*x^8+53*q^2*x^8+50*q^3*x^8+13*q^4*x^8-3*q^5*x^8-2*q^6*x^8-q^-9*x^9-3*q^-8*x^9-8*q^-7*x^9-19*q^-6*x^9-36*q^-5*x^9-31*q^-4*x^9+57*q^-3*x^9+105*q^-2*x^9-152*q^-1*x^9-1380*x^9-241*q*x^9+135*q^2*x^9+207*q^3*x^9+110*q^4*x^9+23*q^5*x^9-14*q^6*x^9-8*q^7*x^9-3*q^8*x^9-q^9*x^9-2*q^-12*x^10-2*q^-11*x^10-6*q^-10*x^10-18*q^-9*x^10-32*q^-8*x^10-58*q^-7*x^10-117*q^-6*x^10-170*q^-5*x^10-68*q^-4*x^10+244*q^-3*x^10+283*q^-2*x^10-530*q^-1*x^10-3117*x^10-858*q*x^10+250*q^2*x^10+673*q^3*x^10+511*q^4*x^10+228*q^5*x^10+32*q^6*x^10-50*q^7*x^10-35*q^8*x^10-22*q^9*x^10-5*q^10*x^10-2*q^11*x^10-2*q^12*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_61 | [-1, 2, -1, 2, 3, -4, -4, 3, 2, 2, 3, -4, -3, 4] | [-1, -1, 1, -1, 1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1] | -q*x^3-4*q*x^4-10*q*x^5+2*q^2*x^5-20*q*x^6+8*q^2*x^6-q^-3*x^7-q^-2*x^7+q^-1*x^7-2*x^7-35*q*x^7+20*q^2*x^7-q^3*x^7-2*q^4*x^7-2*q^-5*x^8-4*q^-4*x^8-6*q^-3*x^8-8*x^8-57*q*x^8+40*q^2*x^8-5*q^3*x^8-8*q^4*x^8+q^5*x^8-q^-8*x^9-3*q^-7*x^9-7*q^-6*x^9-14*q^-5*x^9-18*q^-4*x^9-7*q^-3*x^9+4*q^-2*x^9-6*q^-1*x^9-25*x^9-84*q*x^9+71*q^2*x^9-14*q^3*x^9-21*q^4*x^9+6*q^5*x^9+2*q^7*x^9-2*q^-11*x^10-2*q^-10*x^10-6*q^-9*x^10-12*q^-8*x^10-22*q^-7*x^10-34*q^-6*x^10-42*q^-5*x^10-20*q^-4*x^10+8*q^-3*x^10+9*q^-2*x^10-34*q^-1*x^10-54*x^10-112*q*x^10+119*q^2*x^10-32*q^3*x^10-43*q^4*x^10+18*q^5*x^10+4*q^7*x^10-q^8*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12a_61 | [1, -2, -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] | -q*x^3-6*q*x^4-x^5-21*q*x^5+q^2*x^5-q^-1*x^6-6*x^6-58*q*x^6+6*q^2*x^6-2*q^-3*x^7-5*q^-1*x^7-25*x^7-137*q*x^7+18*q^2*x^7+q^3*x^7-4*q^4*x^7-q^5*x^7-4*q^-5*x^8-6*q^-4*x^8-8*q^-3*x^8+3*q^-2*x^8-22*q^-1*x^8-79*x^8-295*q*x^8+42*q^2*x^8-q^3*x^8-22*q^4*x^8-14*q^5*x^8-4*q^6*x^8-2*q^7*x^8-2*q^-8*x^9-6*q^-7*x^9-12*q^-6*x^9-33*q^-5*x^9-28*q^-4*x^9-14*q^-3*x^9+14*q^-2*x^9-76*q^-1*x^9-219*x^9-590*q*x^9+73*q^2*x^9-17*q^3*x^9-88*q^4*x^9-67*q^5*x^9-41*q^6*x^9-16*q^7*x^9-7*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^10-28*q^-8*x^10-57*q^-7*x^10-93*q^-6*x^10-138*q^-5*x^10-65*q^-4*x^10+5*q^-3*x^10+40*q^-2*x^10-235*q^-1*x^10-540*x^10-1133*q*x^10+93*q^2*x^10-98*q^3*x^10-280*q^4*x^10-249*q^5*x^10-182*q^6*x^10-104*q^7*x^10-54*q^8*x^10-32*q^9*x^10-14*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_63 | [1, -3, 4, -3, -3, 2, 4, 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^3-7*q*x^4-28*q*x^5+2*q^-1*x^6-88*q*x^6+q^3*x^6-q^-3*x^7+5*q^-2*x^7+15*q^-1*x^7-7*x^7-238*q*x^7-7*q^2*x^7+8*q^3*x^7+2*q^4*x^7-q^5*x^7-2*q^-5*x^8-3*q^-4*x^8+q^-3*x^8+36*q^-2*x^8+55*q^-1*x^8-47*x^8-594*q*x^8-48*q^2*x^8+26*q^3*x^8+17*q^4*x^8-3*q^5*x^8-4*q^6*x^8-2*q^7*x^8-q^-8*x^9-3*q^-7*x^9-8*q^-6*x^9-13*q^-5*x^9-19*q^-4*x^9+24*q^-3*x^9+149*q^-2*x^9+149*q^-1*x^9-222*x^9-1407*q*x^9-227*q^2*x^9+54*q^3*x^9+71*q^4*x^9+7*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^9-2*q^-11*x^10-2*q^-10*x^10-5*q^-9*x^10-22*q^-8*x^10-30*q^-7*x^10-39*q^-6*x^10-76*q^-5*x^10-83*q^-4*x^10+129*q^-3*x^10+486*q^-2*x^10+289*q^-1*x^10-825*x^10-3268*q*x^10-844*q^2*x^10+23*q^3*x^10+228*q^4*x^10+75*q^5*x^10-52*q^6*x^10-90*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_64 | [-1, 2, -1, 2, 3, 4, 4, 3, 3, 3, 4, -2, -2, -3] | [-1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, -1] | -q^2*x^3-4*q^2*x^4-2*q*x^5-10*q^2*x^5+2*q^3*x^5-4*x^6-8*q*x^6-18*q^2*x^6+8*q^3*x^6-2*q^-2*x^7-6*q^-1*x^7-17*x^7-16*q*x^7-23*q^2*x^7+20*q^3*x^7-q^4*x^7-4*q^-4*x^8-4*q^-3*x^8-16*q^-2*x^8-26*q^-1*x^8-36*x^8-14*q*x^8-19*q^2*x^8+36*q^3*x^8-6*q^4*x^8+4*q^6*x^8-2*q^-7*x^9-6*q^-6*x^9-8*q^-5*x^9-22*q^-4*x^9-24*q^-3*x^9-54*q^-2*x^9-52*q^-1*x^9-38*x^9+13*q*x^9-9*q^2*x^9+48*q^3*x^9-18*q^4*x^9+6*q^5*x^9+16*q^6*x^9+3*q^7*x^9-4*q^-10*x^10-4*q^-9*x^10-12*q^-8*x^10-20*q^-7*x^10-34*q^-6*x^10-36*q^-5*x^10-68*q^-4*x^10-70*q^-3*x^10-100*q^-2*x^10-42*q^-1*x^10+8*x^10+60*q*x^10-12*q^2*x^10+44*q^3*x^10-26*q^4*x^10+36*q^5*x^10+48*q^6*x^10+8*q^7*x^10+4*q^8*x^10-4*q^9*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12a_65 | [1, 2, 2, 3, -4, 1, -4, 1, -2, -4, -3, -3, -4, -4] | [1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1] | -q^-1*x^3-7*q^-1*x^4-2*q^-2*x^5-28*q^-1*x^5-4*x^5-q^-4*x^6-10*q^-3*x^6-13*q^-2*x^6-91*q^-1*x^6-27*x^6-12*q*x^6-q^2*x^6-3*q^-6*x^7-12*q^-5*x^7-34*q^-4*x^7-64*q^-3*x^7-71*q^-2*x^7-262*q^-1*x^7-126*x^7-81*q*x^7-37*q^2*x^7-15*q^3*x^7-3*q^4*x^7-3*q^-9*x^8-9*q^-8*x^8-33*q^-7*x^8-62*q^-6*x^8-142*q^-5*x^8-224*q^-4*x^8-314*q^-3*x^8-315*q^-2*x^8-741*q^-1*x^8-474*x^8-380*q*x^8-247*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-q^-13*x^9-8*q^-12*x^9-17*q^-11*x^9-44*q^-10*x^9-101*q^-9*x^9-187*q^-8*x^9-356*q^-7*x^9-554*q^-6*x^9-849*q^-5*x^9-1113*q^-4*x^9-1326*q^-3*x^9-1313*q^-2*x^9-2148*q^-1*x^9-1676*x^9-1484*q*x^9-1170*q^2*x^9-972*q^3*x^9-678*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^9-3*q^-17*x^10-9*q^-16*x^10-27*q^-15*x^10-49*q^-14*x^10-114*q^-13*x^10-205*q^-12*x^10-391*q^-11*x^10-660*q^-10*x^10-1112*q^-9*x^10-1634*q^-8*x^10-2440*q^-7*x^10-3173*q^-6*x^10-4113*q^-5*x^10-4807*q^-4*x^10-5316*q^-3*x^10-5207*q^-2*x^10-6726*q^-1*x^10-5859*x^10-5491*q*x^10-4760*q^2*x^10-4362*q^3*x^10-3629*q^4*x^10-3001*q^5*x^10-2085*q^6*x^10-1443*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_66 | [1, -2, -2, 3, 4, 1, 1, 2, -3, 2, -3, 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] | -x^3-6*x^4+5*q^-1*x^5-21*x^5-q*x^5+9*q^-2*x^6+30*q^-1*x^6-52*x^6-6*q*x^6-2*q^2*x^6+44*q^-2*x^7+116*q^-1*x^7-97*x^7-13*q*x^7-11*q^2*x^7-4*q^3*x^7-2*q^4*x^7-13*q^-5*x^8-19*q^-4*x^8-32*q^-3*x^8+129*q^-2*x^8+335*q^-1*x^8-118*x^8+2*q*x^8-18*q^2*x^8-16*q^3*x^8-18*q^4*x^8-6*q^5*x^8-4*q^6*x^8-17*q^-7*x^9-8*q^-6*x^9-96*q^-5*x^9-162*q^-4*x^9-235*q^-3*x^9+223*q^-2*x^9+779*q^-1*x^9-40*x^9+131*q*x^9+44*q^2*x^9+9*q^3*x^9-51*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^9-4*q^-9*x^10+10*q^-8*x^10-42*q^-7*x^10-3*q^-6*x^10-382*q^-5*x^10-717*q^-4*x^10-1050*q^-3*x^10+35*q^-2*x^10+1379*q^-1*x^10+176*x^10+496*q*x^10+365*q^2*x^10+270*q^3*x^10+42*q^4*x^10-50*q^5*x^10-114*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 |
| 12n_67 | [-1, -2, -2, 3, -4, -1, -1, -2, -2, -2, 3, -4] | [1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, 1, -1] | -q^-3*x^3-4*q^-3*x^4+q^-4*x^5-10*q^-3*x^5-3*q^-2*x^5-2*q^-5*x^6+4*q^-4*x^6-18*q^-3*x^6-12*q^-2*x^6-8*q^-1*x^6-q^-7*x^7-3*q^-6*x^7-7*q^-5*x^7+6*q^-4*x^7-24*q^-3*x^7-24*q^-2*x^7-33*q^-1*x^7-18*x^7-5*q*x^7-2*q^-9*x^8-2*q^-8*x^8-6*q^-7*x^8-10*q^-6*x^8-25*q^-5*x^8-2*q^-4*x^8-34*q^-3*x^8-26*q^-2*x^8-66*q^-1*x^8-72*x^8-56*q*x^8-20*q^2*x^8-12*q^3*x^8-q^-12*x^9-3*q^-11*x^9-4*q^-10*x^9-11*q^-9*x^9-16*q^-8*x^9-18*q^-7*x^9-26*q^-6*x^9-67*q^-5*x^9-52*q^-4*x^9-77*q^-3*x^9-35*q^-2*x^9-78*q^-1*x^9-131*x^9-178*q*x^9-138*q^2*x^9-102*q^3*x^9-51*q^4*x^9-26*q^5*x^9-7*q^6*x^9-2*q^-15*x^10-2*q^-14*x^10-6*q^-13*x^10-10*q^-12*x^10-20*q^-11*x^10-26*q^-10*x^10-46*q^-9*x^10-57*q^-8*x^10-60*q^-7*x^10-58*q^-6*x^10-148*q^-5*x^10-182*q^-4*x^10-248*q^-3*x^10-147*q^-2*x^10-126*q^-1*x^10-152*x^10-292*q*x^10-352*q^2*x^10-386*q^3*x^10-300*q^4*x^10-242*q^5*x^10-144*q^6*x^10-80*q^7*x^10-28*q^8*x^10-16*q^9*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12a_67 | [-1, -3, 4, -3, -3, -3, -2, -2, 4, 3, 3, 2, -1, 2] | [-1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1] | -q^-1*x^3-7*q^-1*x^4-28*q^-1*x^5-2*x^5-q^-3*x^6-88*q^-1*x^6-14*x^6-2*q*x^6-q^-5*x^7-2*q^-4*x^7-6*q^-3*x^7-6*q^-2*x^7-238*q^-1*x^7-66*x^7-15*q*x^7+2*q^2*x^7-2*q^3*x^7-2*q^-7*x^8-2*q^-6*x^8-6*q^-5*x^8-13*q^-4*x^8-31*q^-3*x^8-43*q^-2*x^8-594*q^-1*x^8-244*x^8-83*q*x^8+11*q^2*x^8-3*q^4*x^8-4*q^5*x^8-q^-10*x^9-3*q^-9*x^9-5*q^-8*x^9-15*q^-7*x^9-7*q^-6*x^9-20*q^-5*x^9-64*q^-4*x^9-133*q^-3*x^9-212*q^-2*x^9-1420*q^-1*x^9-795*x^9-360*q*x^9+9*q^2*x^9+42*q^3*x^9+13*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^10-31*q^-9*x^10-40*q^-8*x^10-46*q^-7*x^10+3*q^-6*x^10-66*q^-5*x^10-257*q^-4*x^10-527*q^-3*x^10-842*q^-2*x^10-3373*q^-1*x^10-2386*x^10-1359*q*x^10-156*q^2*x^10+207*q^3*x^10+193*q^4*x^10-44*q^5*x^10-63*q^6*x^10-58*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 | 14 | 14 | Yes | 12 |
| 12n_68 | [1, 2, 2, -3, 4, 1, 1, 2, 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] | -q^3*x^3-4*q^3*x^4-3*q^2*x^5-10*q^3*x^5-8*q*x^6-12*q^2*x^6-20*q^3*x^6-q^5*x^6-5*q^-1*x^7-18*x^7-33*q*x^7-30*q^2*x^7-35*q^3*x^7-3*q^4*x^7-3*q^5*x^7-q^6*x^7-q^7*x^7-12*q^-3*x^8-20*q^-2*x^8-56*q^-1*x^8-76*x^8-84*q*x^8-60*q^2*x^8-64*q^3*x^8-13*q^4*x^8-10*q^5*x^8-3*q^6*x^8-7*q^7*x^8-3*q^8*x^8-2*q^9*x^8-7*q^-6*x^9-26*q^-5*x^9-51*q^-4*x^9-102*q^-3*x^9-148*q^-2*x^9-204*q^-1*x^9-196*x^9-175*q*x^9-128*q^2*x^9-122*q^3*x^9-42*q^4*x^9-26*q^5*x^9-14*q^6*x^9-25*q^7*x^9-20*q^8*x^9-12*q^9*x^9-5*q^10*x^9-3*q^11*x^9-q^12*x^9-16*q^-9*x^10-28*q^-8*x^10-80*q^-7*x^10-144*q^-6*x^10-248*q^-5*x^10-328*q^-4*x^10-456*q^-3*x^10-492*q^-2*x^10-512*q^-1*x^10-432*x^10-377*q*x^10-282*q^2*x^10-247*q^3*x^10-106*q^4*x^10-74*q^5*x^10-59*q^6*x^10-88*q^7*x^10-72*q^8*x^10-55*q^9*x^10-32*q^10*x^10-21*q^11*x^10-10*q^12*x^10-6*q^13*x^10-2*q^14*x^10-2*q^15*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12a_69 | [-1, -3, -3, -3, -2, -2, 3, -4, 3, -4, 3, 2, -1, 2] | [-1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1] | -q^-1*x^3-7*q^-1*x^4-q^-2*x^5-28*q^-1*x^5-3*q^-3*x^6-7*q^-2*x^6-85*q^-1*x^6-2*q^-5*x^7-7*q^-4*x^7-20*q^-3*x^7-28*q^-2*x^7-217*q^-1*x^7+x^7+q*x^7-5*q^2*x^7-q^3*x^7-4*q^-7*x^8-5*q^-6*x^8-25*q^-5*x^8-48*q^-4*x^8-77*q^-3*x^8-84*q^-2*x^8-485*q^-1*x^8+8*x^8+9*q*x^8-32*q^2*x^8-29*q^3*x^8-4*q^4*x^8-2*q^5*x^8-2*q^-10*x^9-6*q^-9*x^9-9*q^-8*x^9-33*q^-7*x^9-52*q^-6*x^9-141*q^-5*x^9-190*q^-4*x^9-222*q^-3*x^9-200*q^-2*x^9-971*q^-1*x^9+46*x^9+43*q*x^9-128*q^2*x^9-182*q^3*x^9-92*q^4*x^9-18*q^5*x^9-7*q^6*x^9-3*q^7*x^9-q^8*x^9-4*q^-13*x^10-4*q^-12*x^10-12*q^-11*x^10-26*q^-10*x^10-54*q^-9*x^10-71*q^-8*x^10-180*q^-7*x^10-287*q^-6*x^10-534*q^-5*x^10-565*q^-4*x^10-515*q^-3*x^10-381*q^-2*x^10-1754*q^-1*x^10+189*x^10+145*q*x^10-410*q^2*x^10-752*q^3*x^10-578*q^4*x^10-241*q^5*x^10-47*q^6*x^10-30*q^7*x^10-15*q^8*x^10-6*q^9*x^10-2*q^10*x^10-2*q^11*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_69 | [1, 2, 2, 3, -4, 1, 1, -2, -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] | -x^2-q^-2*x^3-5*x^3-q^-6*x^4-5*q^-2*x^4-q^-1*x^4-15*x^4-3*q*x^4-q^-12*x^5-q^-8*x^5-4*q^-6*x^5-q^-5*x^5+q^-4*x^5-19*q^-2*x^5-8*q^-1*x^5-40*x^5-15*q*x^5-8*q^2*x^5-q^-20*x^6-q^-15*x^6-q^-14*x^6-4*q^-12*x^6-2*q^-10*x^6-2*q^-9*x^6-2*q^-8*x^6+q^-7*x^6-14*q^-6*x^6-6*q^-5*x^6+q^-4*x^6-7*q^-3*x^6-57*q^-2*x^6-41*q^-1*x^6-102*x^6-62*q*x^6-45*q^2*x^6-18*q^3*x^6-5*q^4*x^6-q^-30*x^7-q^-24*x^7-q^-23*x^7-q^-22*x^7-4*q^-20*x^7-q^-18*x^7-2*q^-17*x^7-2*q^-16*x^7-5*q^-15*x^7-4*q^-14*x^7-12*q^-12*x^7-7*q^-11*x^7-15*q^-10*x^7-9*q^-9*x^7-3*q^-8*x^7+q^-7*x^7-45*q^-6*x^7-30*q^-5*x^7-17*q^-4*x^7-40*q^-3*x^7-164*q^-2*x^7-155*q^-1*x^7-278*x^7-212*q*x^7-193*q^2*x^7-120*q^3*x^7-71*q^4*x^7-20*q^5*x^7-12*q^6*x^7-q^-42*x^8-q^-35*x^8-q^-34*x^8-q^-33*x^8-q^-32*x^8-4*q^-30*x^8-q^-28*x^8-q^-27*x^8-3*q^-26*x^8-2*q^-25*x^8-5*q^-24*x^8-6*q^-23*x^8-4*q^-22*x^8-2*q^-21*x^8-13*q^-20*x^8-4*q^-19*x^8-8*q^-18*x^8-15*q^-17*x^8-18*q^-16*x^8-21*q^-15*x^8-15*q^-14*x^8-5*q^-13*x^8-40*q^-12*x^8-49*q^-11*x^8-68*q^-10*x^8-38*q^-9*x^8-14*q^-8*x^8-20*q^-7*x^8-140*q^-6*x^8-133*q^-5*x^8-115*q^-4*x^8-176*q^-3*x^8-457*q^-2*x^8-526*q^-1*x^8-783*x^8-711*q*x^8-694*q^2*x^8-555*q^3*x^8-415*q^4*x^8-238*q^5*x^8-142*q^6*x^8-57*q^7*x^8-26*q^8*x^8-7*q^9*x^8-q^-56*x^9-q^-48*x^9-q^-47*x^9-q^-46*x^9-q^-45*x^9-q^-44*x^9-4*q^-42*x^9-q^-40*x^9-q^-39*x^9-2*q^-38*x^9-3*q^-37*x^9-3*q^-36*x^9-5*q^-35*x^9-6*q^-34*x^9-6*q^-33*x^9-5*q^-32*x^9-2*q^-31*x^9-15*q^-30*x^9-6*q^-29*x^9-8*q^-28*x^9-10*q^-27*x^9-18*q^-26*x^9-15*q^-25*x^9-26*q^-24*x^9-29*q^-23*x^9-25*q^-22*x^9-16*q^-21*x^9-39*q^-20*x^9-28*q^-19*x^9-52*q^-18*x^9-85*q^-17*x^9-97*q^-16*x^9-92*q^-15*x^9-63*q^-14*x^9-48*q^-13*x^9-162*q^-12*x^9-231*q^-11*x^9-274*q^-10*x^9-166*q^-9*x^9-105*q^-8*x^9-142*q^-7*x^9-450*q^-6*x^9-507*q^-5*x^9-539*q^-4*x^9-686*q^-3*x^9-1306*q^-2*x^9-1630*q^-1*x^9-2275*x^9-2300*q*x^9-2374*q^2*x^9-2129*q^3*x^9-1865*q^4*x^9-1368*q^5*x^9-1009*q^6*x^9-604*q^7*x^9-380*q^8*x^9-189*q^9*x^9-94*q^10*x^9-28*q^11*x^9-16*q^12*x^9-q^-72*x^10-q^-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^-56*x^10-q^-54*x^10-q^-53*x^10-2*q^-52*x^10-2*q^-51*x^10-4*q^-50*x^10-3*q^-49*x^10-6*q^-48*x^10-6*q^-47*x^10-6*q^-46*x^10-7*q^-45*x^10-5*q^-44*x^10-3*q^-43*x^10-16*q^-42*x^10-8*q^-41*x^10-10*q^-40*x^10-10*q^-39*x^10-16*q^-38*x^10-20*q^-37*x^10-20*q^-36*x^10-24*q^-35*x^10-32*q^-34*x^10-34*q^-33*x^10-34*q^-32*x^10-27*q^-31*x^10-59*q^-30*x^10-39*q^-29*x^10-41*q^-28*x^10-54*q^-27*x^10-86*q^-26*x^10-100*q^-25*x^10-134*q^-24*x^10-146*q^-23*x^10-123*q^-22*x^10-89*q^-21*x^10-136*q^-20*x^10-162*q^-19*x^10-283*q^-18*x^10-407*q^-17*x^10-445*q^-16*x^10-389*q^-15*x^10-299*q^-14*x^10-332*q^-13*x^10-696*q^-12*x^10-960*q^-11*x^10-1052*q^-10*x^10-770*q^-9*x^10-592*q^-8*x^10-706*q^-7*x^10-1438*q^-6*x^10-1797*q^-5*x^10-2103*q^-4*x^10-2559*q^-3*x^10-3891*q^-2*x^10-4944*q^-1*x^10-6601*x^10-7245*q*x^10-7781*q^2*x^10-7582*q^3*x^10-7173*q^4*x^10-6137*q^5*x^10-5115*q^6*x^10-3824*q^7*x^10-2802*q^8*x^10-1872*q^9*x^10-1204*q^10*x^10-676*q^11*x^10-394*q^12*x^10-180*q^13*x^10-77*q^14*x^10-34*q^15*x^10-9*q^16*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_70 | [1, -2, -2, -3, 4, 1, 1, 2, 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] | -q*x^2-q^-1*x^3-5*q*x^3-q^-5*x^4-q^-2*x^4-5*q^-1*x^4-15*q*x^4-q^2*x^4-q^-11*x^5-q^-7*x^5-q^-6*x^5-5*q^-5*x^5+q^-4*x^5+2*q^-3*x^5-6*q^-2*x^5-18*q^-1*x^5-x^5-35*q*x^5-5*q^2*x^5-2*q^3*x^5-q^-19*x^6-q^-14*x^6-q^-13*x^6-q^-12*x^6-5*q^-11*x^6+q^-10*x^6+2*q^-8*x^6-4*q^-7*x^6-7*q^-6*x^6-15*q^-5*x^6+12*q^-4*x^6+7*q^-3*x^6-25*q^-2*x^6-51*q^-1*x^6-6*x^6-72*q*x^6-17*q^2*x^6-10*q^3*x^6-3*q^4*x^6-q^5*x^6-q^-29*x^7-q^-23*x^7-q^-22*x^7-q^-21*x^7-q^-20*x^7-5*q^-19*x^7+q^-18*x^7+q^-15*x^7-4*q^-14*x^7-5*q^-13*x^7-6*q^-12*x^7-15*q^-11*x^7+7*q^-10*x^7+11*q^-9*x^7+15*q^-8*x^7-16*q^-7*x^7-29*q^-6*x^7-20*q^-5*x^7+47*q^-4*x^7+14*q^-3*x^7-76*q^-2*x^7-125*q^-1*x^7-26*x^7-137*q*x^7-47*q^2*x^7-37*q^3*x^7-16*q^4*x^7-9*q^5*x^7-2*q^6*x^7-2*q^7*x^7-q^-41*x^8-q^-34*x^8-q^-33*x^8-q^-32*x^8-q^-31*x^8-q^-30*x^8-5*q^-29*x^8+q^-28*x^8-q^-25*x^8+q^-24*x^8-5*q^-23*x^8-5*q^-22*x^8-4*q^-21*x^8-6*q^-20*x^8-14*q^-19*x^8+7*q^-18*x^8+5*q^-17*x^8+10*q^-16*x^8+11*q^-15*x^8-8*q^-14*x^8-24*q^-13*x^8-28*q^-12*x^8-28*q^-11*x^8+58*q^-10*x^8+79*q^-9*x^8+54*q^-8*x^8-61*q^-7*x^8-58*q^-6*x^8-q^-5*x^8+134*q^-4*x^8+25*q^-3*x^8-185*q^-2*x^8-283*q^-1*x^8-86*x^8-254*q*x^8-116*q^2*x^8-109*q^3*x^8-63*q^4*x^8-41*q^5*x^8-17*q^6*x^8-13*q^7*x^8-4*q^8*x^8-3*q^9*x^8-q^10*x^8-q^-55*x^9-q^-47*x^9-q^-46*x^9-q^-45*x^9-q^-44*x^9-q^-43*x^9-q^-42*x^9-5*q^-41*x^9+q^-40*x^9-q^-37*x^9-q^-36*x^9-5*q^-34*x^9-6*q^-33*x^9-4*q^-32*x^9-4*q^-31*x^9-5*q^-30*x^9-14*q^-29*x^9+7*q^-28*x^9+5*q^-27*x^9+4*q^-26*x^9+5*q^-25*x^9+11*q^-24*x^9-12*q^-23*x^9-15*q^-22*x^9-18*q^-21*x^9-25*q^-20*x^9-24*q^-19*x^9+42*q^-18*x^9+66*q^-17*x^9+82*q^-16*x^9+59*q^-15*x^9-44*q^-14*x^9-112*q^-13*x^9-78*q^-12*x^9+42*q^-11*x^9+312*q^-10*x^9+318*q^-9*x^9+138*q^-8*x^9-132*q^-7*x^9-80*q^-6*x^9+96*q^-5*x^9+339*q^-4*x^9+70*q^-3*x^9-389*q^-2*x^9-593*q^-1*x^9-252*x^9-477*q*x^9-268*q^2*x^9-278*q^3*x^9-201*q^4*x^9-148*q^5*x^9-76*q^6*x^9-62*q^7*x^9-29*q^8*x^9-22*q^9*x^9-11*q^10*x^9-6*q^11*x^9-2*q^12*x^9-2*q^13*x^9-q^-71*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-q^-56*x^10-5*q^-55*x^10+q^-54*x^10-q^-51*x^10-q^-50*x^10-2*q^-49*x^10-6*q^-47*x^10-6*q^-46*x^10-5*q^-45*x^10-4*q^-44*x^10-3*q^-43*x^10-5*q^-42*x^10-14*q^-41*x^10+7*q^-40*x^10+5*q^-39*x^10+3*q^-38*x^10-q^-37*x^10+5*q^-36*x^10+6*q^-35*x^10-11*q^-34*x^10-18*q^-33*x^10-9*q^-32*x^10-15*q^-31*x^10-16*q^-30*x^10-22*q^-29*x^10+41*q^-28*x^10+50*q^-27*x^10+63*q^-26*x^10+67*q^-25*x^10+63*q^-24*x^10-27*q^-23*x^10-78*q^-22*x^10-106*q^-21*x^10-78*q^-20*x^10+31*q^-19*x^10+291*q^-18*x^10+405*q^-17*x^10+359*q^-16*x^10+110*q^-15*x^10-266*q^-14*x^10-369*q^-13*x^10-9*q^-12*x^10+577*q^-11*x^10+1199*q^-10*x^10+981*q^-9*x^10+420*q^-8*x^10-194*q^-7*x^10-19*q^-6*x^10+405*q^-5*x^10+848*q^-4*x^10+256*q^-3*x^10-688*q^-2*x^10-1168*q^-1*x^10-653*x^10-937*q*x^10-601*q^2*x^10-652*q^3*x^10-546*q^4*x^10-452*q^5*x^10-278*q^6*x^10-224*q^7*x^10-134*q^8*x^10-105*q^9*x^10-65*q^10*x^10-45*q^11*x^10-23*q^12*x^10-19*q^13*x^10-7*q^14*x^10-4*q^15*x^10-3*q^16*x^10-q^17*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12a_70 | [-1, -3, -3, -3, -2, -2, -4, 3, -4, -4, 3, 2, -1, 2] | [1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1] | -q^-2*x^3-7*q^-2*x^4+q^-3*x^5-28*q^-2*x^5-2*q^-1*x^5+q^-4*x^6+7*q^-3*x^6-87*q^-2*x^6-14*q^-1*x^6-q^-6*x^7-2*q^-5*x^7+8*q^-4*x^7+27*q^-3*x^7-229*q^-2*x^7-64*q^-1*x^7-x^7+14*q*x^7-2*q^2*x^7-2*q^-8*x^8-5*q^-7*x^8-12*q^-6*x^8-11*q^-5*x^8+36*q^-4*x^8+83*q^-3*x^8-538*q^-2*x^8-228*q^-1*x^8-23*x^8+96*q*x^8+46*q^2*x^8-4*q^4*x^8-q^-11*x^9-3*q^-10*x^9-8*q^-9*x^9-19*q^-8*x^9-43*q^-7*x^9-60*q^-6*x^9-39*q^-5*x^9+126*q^-4*x^9+230*q^-3*x^9-1161*q^-2*x^9-693*q^-1*x^9-167*x^9+368*q*x^9+374*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^9-2*q^-14*x^10-2*q^-13*x^10-6*q^-12*x^10-15*q^-11*x^10-31*q^-10*x^10-60*q^-9*x^10-107*q^-8*x^10-200*q^-7*x^10-225*q^-6*x^10-112*q^-5*x^10+387*q^-4*x^10+616*q^-3*x^10-2322*q^-2*x^10-1892*q^-1*x^10-788*x^10+970*q*x^10+1630*q^2*x^10+1302*q^3*x^10+452*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_71 | [-1, 4, -3, 4, 2, -3, 2, 2, 2, -1, -3, 2] | [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1] | -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^6-90*q*x^6-7*q^2*x^6-4*q^3*x^6-2*q^-3*x^7+2*q^-2*x^7-15*q^-1*x^7-71*x^7-254*q*x^7-42*q^2*x^7-27*q^3*x^7-7*q^4*x^7-2*q^5*x^7-4*q^-5*x^8-3*q^-4*x^8+9*q^-2*x^8-94*q^-1*x^8-283*x^8-684*q*x^8-192*q^2*x^8-138*q^3*x^8-53*q^4*x^8-20*q^5*x^8-4*q^6*x^8-4*q^7*x^8-2*q^-8*x^9-6*q^-7*x^9-9*q^-6*x^9-28*q^-5*x^9+9*q^-4*x^9+34*q^-3*x^9-24*q^-2*x^9-448*q^-1*x^9-1010*x^9-1817*q*x^9-775*q^2*x^9-579*q^3*x^9-293*q^4*x^9-125*q^5*x^9-38*q^6*x^9-33*q^7*x^9-8*q^8*x^9-6*q^9*x^9-2*q^10*x^9-4*q^-11*x^10-4*q^-10*x^10-11*q^-9*x^10-33*q^-8*x^10-60*q^-7*x^10-71*q^-6*x^10-59*q^-5*x^10+151*q^-4*x^10+112*q^-3*x^10-378*q^-2*x^10-1842*q^-1*x^10-3341*x^10-4929*q*x^10-2831*q^2*x^10-2234*q^3*x^10-1319*q^4*x^10-670*q^5*x^10-259*q^6*x^10-185*q^7*x^10-81*q^8*x^10-58*q^9*x^10-26*q^10*x^10-12*q^11*x^10-4*q^12*x^10-4*q^13*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_71 | [1, 2, 2, 3, -4, 1, -4, 1, 3, -2, -2, -3, -4, 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^3-4*q*x^4-10*q*x^5-q^2*x^5-21*q*x^6-4*q^2*x^6-4*q^3*x^6-q^-3*x^7-q^-2*x^7+q^-1*x^7-x^7-39*q*x^7-13*q^2*x^7-16*q^3*x^7-6*q^4*x^7-q^5*x^7-2*q^-5*x^8-4*q^-4*x^8-6*q^-3*x^8-q^-2*x^8+3*q^-1*x^8-3*x^8-69*q*x^8-32*q^2*x^8-47*q^3*x^8-26*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^9-7*q^-6*x^9-14*q^-5*x^9-20*q^-4*x^9-14*q^-3*x^9+q^-2*x^9+7*q^-1*x^9-9*x^9-114*q*x^9-72*q^2*x^9-111*q^3*x^9-82*q^4*x^9-65*q^5*x^9-36*q^6*x^9-19*q^7*x^9-6*q^8*x^9-3*q^9*x^9-q^10*x^9-2*q^-11*x^10-2*q^-10*x^10-6*q^-9*x^10-12*q^-8*x^10-23*q^-7*x^10-38*q^-6*x^10-56*q^-5*x^10-53*q^-4*x^10-29*q^-3*x^10+3*q^-2*x^10+8*q^-1*x^10-19*x^10-182*q*x^10-143*q^2*x^10-237*q^3*x^10-206*q^4*x^10-199*q^5*x^10-146*q^6*x^10-110*q^7*x^10-50*q^8*x^10-34*q^9*x^10-14*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_72 | [1, 2, 2, -3, 4, 1, 4, 1, -3, 2, 2, 3, 4, -2] | [1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1] | -q^2*x^2-3*x^3-5*q^2*x^3-6*q^-4*x^4-3*q^-3*x^4-9*q^-1*x^4-15*x^4-q*x^4-15*q^2*x^4-10*q^-10*x^5-8*q^-9*x^5-8*q^-8*x^5-q^-7*x^5-14*q^-6*x^5-27*q^-5*x^5-43*q^-4*x^5-16*q^-3*x^5-21*q^-2*x^5-47*q^-1*x^5-52*x^5-5*q*x^5-36*q^2*x^5-15*q^-18*x^6-15*q^-17*x^6-21*q^-16*x^6-18*q^-15*x^6-9*q^-14*x^6-23*q^-13*x^6-42*q^-12*x^6-76*q^-11*x^6-111*q^-10*x^6-80*q^-9*x^6-73*q^-8*x^6-68*q^-7*x^6-152*q^-6*x^6-187*q^-5*x^6-178*q^-4*x^6-99*q^-3*x^6-114*q^-2*x^6-166*q^-1*x^6-143*x^6-22*q*x^6-74*q^2*x^6-2*q^3*x^6-q^5*x^6-q^6*x^6-21*q^-28*x^7-24*q^-27*x^7-39*q^-26*x^7-45*q^-25*x^7-48*q^-24*x^7-30*q^-23*x^7-51*q^-22*x^7-69*q^-21*x^7-120*q^-20*x^7-189*q^-19*x^7-276*q^-18*x^7-259*q^-17*x^7-267*q^-16*x^7-228*q^-15*x^7-264*q^-14*x^7-395*q^-13*x^7-564*q^-12*x^7-652*q^-11*x^7-681*q^-10*x^7-502*q^-9*x^7-500*q^-8*x^7-570*q^-7*x^7-810*q^-6*x^7-773*q^-5*x^7-649*q^-4*x^7-407*q^-3*x^7-415*q^-2*x^7-465*q^-1*x^7-357*x^7-73*q*x^7-146*q^2*x^7-12*q^3*x^7-7*q^4*x^7-7*q^5*x^7-9*q^6*x^7-4*q^7*x^7-2*q^8*x^7-28*q^-40*x^8-35*q^-39*x^8-62*q^-38*x^8-82*q^-37*x^8-107*q^-36*x^8-108*q^-35*x^8-101*q^-34*x^8-116*q^-33*x^8-143*q^-32*x^8-203*q^-31*x^8-302*q^-30*x^8-459*q^-29*x^8-638*q^-28*x^8-711*q^-27*x^8-788*q^-26*x^8-777*q^-25*x^8-788*q^-24*x^8-821*q^-23*x^8-1124*q^-22*x^8-1447*q^-21*x^8-1880*q^-20*x^8-2203*q^-19*x^8-2344*q^-18*x^8-2153*q^-17*x^8-2079*q^-16*x^8-2116*q^-15*x^8-2506*q^-14*x^8-3105*q^-13*x^8-3545*q^-12*x^8-3460*q^-11*x^8-3137*q^-10*x^8-2511*q^-9*x^8-2564*q^-8*x^8-2763*q^-7*x^8-3062*q^-6*x^8-2641*q^-5*x^8-2042*q^-4*x^8-1354*q^-3*x^8-1219*q^-2*x^8-1176*q^-1*x^8-836*x^8-240*q*x^8-304*q^2*x^8-71*q^3*x^8-55*q^4*x^8-52*q^5*x^8-48*q^6*x^8-34*q^7*x^8-20*q^8*x^8-8*q^9*x^8-3*q^10*x^8-q^11*x^8-36*q^-54*x^9-48*q^-53*x^9-90*q^-52*x^9-129*q^-51*x^9-186*q^-50*x^9-222*q^-49*x^9-264*q^-48*x^9-252*q^-47*x^9-299*q^-46*x^9-324*q^-45*x^9-406*q^-44*x^9-525*q^-43*x^9-754*q^-42*x^9-1048*q^-41*x^9-1454*q^-40*x^9-1720*q^-39*x^9-2041*q^-38*x^9-2209*q^-37*x^9-2358*q^-36*x^9-2390*q^-35*x^9-2619*q^-34*x^9-3068*q^-33*x^9-3848*q^-32*x^9-4771*q^-31*x^9-5947*q^-30*x^9-6925*q^-29*x^9-7669*q^-28*x^9-7780*q^-27*x^9-7887*q^-26*x^9-7870*q^-25*x^9-8471*q^-24*x^9-9486*q^-23*x^9-11445*q^-22*x^9-13064*q^-21*x^9-14384*q^-20*x^9-14592*q^-19*x^9-14090*q^-18*x^9-12973*q^-17*x^9-12840*q^-16*x^9-13379*q^-15*x^9-14870*q^-14*x^9-15999*q^-13*x^9-16018*q^-12*x^9-14280*q^-11*x^9-12356*q^-10*x^9-10413*q^-9*x^9-10258*q^-8*x^9-10082*q^-7*x^9-9791*q^-6*x^9-7894*q^-5*x^9-5873*q^-4*x^9-3955*q^-3*x^9-3303*q^-2*x^9-2870*q^-1*x^9-2024*x^9-819*q*x^9-795*q^2*x^9-377*q^3*x^9-334*q^4*x^9-289*q^5*x^9-247*q^6*x^9-185*q^7*x^9-128*q^8*x^9-69*q^9*x^9-36*q^10*x^9-17*q^11*x^9-8*q^12*x^9-2*q^13*x^9-2*q^14*x^9-45*q^-70*x^10-63*q^-69*x^10-123*q^-68*x^10-186*q^-67*x^10-285*q^-66*x^10-372*q^-65*x^10-492*q^-64*x^10-561*q^-63*x^10-624*q^-62*x^10-702*q^-61*x^10-783*q^-60*x^10-885*q^-59*x^10-1068*q^-58*x^10-1350*q^-57*x^10-1773*q^-56*x^10-2406*q^-55*x^10-3192*q^-54*x^10-3940*q^-53*x^10-4797*q^-52*x^10-5538*q^-51*x^10-6207*q^-50*x^10-6674*q^-49*x^10-7166*q^-48*x^10-7647*q^-47*x^10-8744*q^-46*x^10-10122*q^-45*x^10-12224*q^-44*x^10-14781*q^-43*x^10-17865*q^-42*x^10-20817*q^-41*x^10-23554*q^-40*x^10-25281*q^-39*x^10-26679*q^-38*x^10-27613*q^-37*x^10-28815*q^-36*x^10-30707*q^-35*x^10-34262*q^-34*x^10-39157*q^-33*x^10-44981*q^-32*x^10-50528*q^-31*x^10-55242*q^-30*x^10-57646*q^-29*x^10-58444*q^-28*x^10-57522*q^-27*x^10-57619*q^-26*x^10-59033*q^-25*x^10-63289*q^-24*x^10-68621*q^-23*x^10-74798*q^-22*x^10-77749*q^-21*x^10-77578*q^-20*x^10-73756*q^-19*x^10-68749*q^-18*x^10-64232*q^-17*x^10-63387*q^-16*x^10-64387*q^-15*x^10-66056*q^-14*x^10-64728*q^-13*x^10-59609*q^-12*x^10-50929*q^-11*x^10-43297*q^-10*x^10-37034*q^-9*x^10-34535*q^-8*x^10-31760*q^-7*x^10-28319*q^-6*x^10-22081*q^-5*x^10-16162*q^-4*x^10-11223*q^-3*x^10-9007*q^-2*x^10-7508*q^-1*x^10-5527*x^10-3138*q*x^10-2719*q^2*x^10-1892*q^3*x^10-1667*q^4*x^10-1432*q^5*x^10-1172*q^6*x^10-897*q^7*x^10-641*q^8*x^10-415*q^9*x^10-247*q^10*x^10-142*q^11*x^10-79*q^12*x^10-39*q^13*x^10-24*q^14*x^10-11*q^15*x^10-5*q^16*x^10-3*q^17*x^10-q^18*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_73 | [-1, 3, -4, 3, 2, -3, -4, 2, -1, -4, -3, 2] | [1, -1, 1, -1, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1, -1, 1, 1, -1, 1, -1, -1, -1, 1, -1] | -q^-1*x^2-q^-3*x^3-3*q^-1*x^3-q^-7*x^4+q^-4*x^4-3*q^-3*x^4+2*q^-2*x^4-6*q^-1*x^4-q^-13*x^5+q^-9*x^5+q^-8*x^5-3*q^-7*x^5+q^-6*x^5+2*q^-5*x^5+4*q^-4*x^5-4*q^-3*x^5+6*q^-2*x^5-7*q^-1*x^5-q^-21*x^6+q^-16*x^6+q^-15*x^6+q^-14*x^6-3*q^-13*x^6+q^-12*x^6+q^-11*x^6+q^-10*x^6+4*q^-9*x^6+5*q^-8*x^6-6*q^-7*x^6+2*q^-6*x^6+9*q^-5*x^6+14*q^-4*x^6-5*q^-3*x^6+11*q^-2*x^6-6*q^-1*x^6+6*x^6-q^-31*x^7+q^-25*x^7+q^-24*x^7+q^-23*x^7+q^-22*x^7-3*q^-21*x^7+q^-20*x^7+q^-19*x^7+q^-17*x^7+3*q^-16*x^7+5*q^-15*x^7+4*q^-14*x^7-7*q^-13*x^7+4*q^-11*x^7+6*q^-10*x^7+13*q^-9*x^7+10*q^-8*x^7-14*q^-7*x^7-6*q^-6*x^7+20*q^-5*x^7+35*q^-4*x^7+11*q^-2*x^7-7*q^-1*x^7+18*x^7+10*q*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^8-3*q^-31*x^8+q^-30*x^8+q^-29*x^8+3*q^-25*x^8+4*q^-24*x^8+4*q^-23*x^8+3*q^-22*x^8-8*q^-21*x^8-q^-20*x^8+3*q^-19*x^8+q^-18*x^8+4*q^-17*x^8+7*q^-16*x^8+10*q^-15*x^8+4*q^-14*x^8-21*q^-13*x^8-13*q^-12*x^8+14*q^-10*x^8+35*q^-9*x^8+19*q^-8*x^8-40*q^-7*x^8-43*q^-6*x^8+16*q^-5*x^8+66*q^-4*x^8+20*q^-3*x^8+12*q^-2*x^8-25*q^-1*x^8+22*x^8+30*q*x^8+15*q^2*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^9-3*q^-43*x^9+q^-42*x^9+q^-41*x^9-q^-38*x^9+2*q^-36*x^9+4*q^-35*x^9+3*q^-34*x^9+3*q^-33*x^9+2*q^-32*x^9-9*q^-31*x^9-q^-30*x^9+2*q^-29*x^9-2*q^-26*x^9+6*q^-25*x^9+5*q^-24*x^9+6*q^-23*x^9-q^-22*x^9-27*q^-21*x^9-21*q^-20*x^9-7*q^-19*x^9-2*q^-18*x^9+12*q^-17*x^9+17*q^-16*x^9+19*q^-15*x^9-7*q^-14*x^9-62*q^-13*x^9-69*q^-12*x^9-40*q^-11*x^9+12*q^-10*x^9+89*q^-9*x^9+51*q^-8*x^9-80*q^-7*x^9-145*q^-6*x^9-51*q^-5*x^9+70*q^-4*x^9+57*q^-3*x^9+34*q^-2*x^9-51*q^-1*x^9-10*x^9+29*q*x^9+35*q^2*x^9+21*q^3*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^10-3*q^-57*x^10+q^-56*x^10+q^-55*x^10-q^-52*x^10-q^-51*x^10-q^-50*x^10+2*q^-49*x^10+3*q^-48*x^10+3*q^-47*x^10+2*q^-46*x^10+2*q^-45*x^10+q^-44*x^10-9*q^-43*x^10-2*q^-42*x^10+2*q^-41*x^10-q^-39*x^10-6*q^-38*x^10-2*q^-37*x^10+q^-36*x^10+5*q^-35*x^10+2*q^-34*x^10+2*q^-33*x^10-5*q^-32*x^10-33*q^-31*x^10-25*q^-30*x^10-12*q^-29*x^10-7*q^-28*x^10+q^-27*x^10-q^-26*x^10+18*q^-25*x^10+10*q^-24*x^10+2*q^-23*x^10-26*q^-22*x^10-82*q^-21*x^10-88*q^-20*x^10-57*q^-19*x^10-28*q^-18*x^10+29*q^-17*x^10+61*q^-16*x^10+72*q^-15*x^10-q^-14*x^10-140*q^-13*x^10-228*q^-12*x^10-191*q^-11*x^10-44*q^-10*x^10+193*q^-9*x^10+180*q^-8*x^10-67*q^-7*x^10-299*q^-6*x^10-252*q^-5*x^10-51*q^-4*x^10+41*q^-3*x^10+81*q^-2*x^10-36*q^-1*x^10-55*x^10-30*q*x^10+5*q^2*x^10+33*q^3*x^10+13*q^4*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12a_74 | [-1, 2, 3, -1, 3, -4, -4, 3, -2, -2, 3, -4, -2, -3] | [-1, -1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1, 1, 1, -1] | -q^-1*x^3-6*q^-1*x^4+q^-2*x^5-21*q^-1*x^5+4*x^5+2*q^-3*x^6+6*q^-2*x^6-56*q^-1*x^6+24*x^6+11*q*x^6-q^-5*x^7+q^-4*x^7+13*q^-3*x^7+17*q^-2*x^7-130*q^-1*x^7+86*x^7+60*q*x^7+10*q^2*x^7-2*q^-7*x^8-6*q^-6*x^8-6*q^-5*x^8+10*q^-4*x^8+40*q^-3*x^8+24*q^-2*x^8-286*q^-1*x^8+225*x^8+197*q*x^8+33*q^2*x^8-13*q^3*x^8-17*q^4*x^8-q^-10*x^9-3*q^-9*x^9-10*q^-8*x^9-21*q^-7*x^9-35*q^-6*x^9-7*q^-5*x^9+41*q^-4*x^9+84*q^-3*x^9-30*q^-2*x^9-617*q^-1*x^9+479*x^9+489*q*x^9+40*q^2*x^9-137*q^3*x^9-155*q^4*x^9-41*q^5*x^9-28*q^6*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^10-68*q^-8*x^10-82*q^-7*x^10-76*q^-6*x^10+48*q^-5*x^10+144*q^-4*x^10+112*q^-3*x^10-278*q^-2*x^10-1297*q^-1*x^10+920*x^10+1074*q*x^10-35*q^2*x^10-627*q^3*x^10-745*q^4*x^10-288*q^5*x^10-157*q^6*x^10-29*q^7*x^10-18*q^8*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_76 | [1, 1, 1, 1, 3, 3, 3, 2, 2, -1, -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^2-q^-2*x^3-x^3-3*q^2*x^3-q^-10*x^4-q^-7*x^4-q^-6*x^4-q^-4*x^4-3*q^-3*x^4-3*q^-2*x^4-3*x^4-6*q^2*x^4+q^3*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^5-4*q^-12*x^5-3*q^-11*x^5-4*q^-10*x^5-3*q^-8*x^5-6*q^-7*x^5-4*q^-6*x^5-8*q^-4*x^5-9*q^-3*x^5-5*q^-2*x^5+q^-1*x^5-7*x^5+q*x^5-10*q^2*x^5+3*q^3*x^5+q^4*x^5-q^-38*x^6-q^-33*x^6-q^-32*x^6-q^-31*x^6-q^-30*x^6-q^-28*x^6-q^-27*x^6-2*q^-26*x^6-4*q^-25*x^6-4*q^-24*x^6-4*q^-23*x^6-4*q^-22*x^6-q^-21*x^6-4*q^-20*x^6-6*q^-19*x^6-10*q^-18*x^6-7*q^-17*x^6-4*q^-16*x^6-3*q^-15*x^6-11*q^-14*x^6-15*q^-13*x^6-19*q^-12*x^6-8*q^-11*x^6-7*q^-10*x^6-4*q^-9*x^6-17*q^-8*x^6-18*q^-7*x^6-6*q^-6*x^6-6*q^-5*x^6-22*q^-4*x^6-16*q^-3*x^6-4*q^-2*x^6+3*q^-1*x^6-12*x^6+2*q*x^6-14*q^2*x^6+6*q^3*x^6+3*q^4*x^6-q^-58*x^7-q^-52*x^7-q^-51*x^7-q^-50*x^7-q^-49*x^7-q^-48*x^7-q^-46*x^7-q^-45*x^7-2*q^-44*x^7-2*q^-43*x^7-5*q^-42*x^7-4*q^-41*x^7-5*q^-40*x^7-4*q^-39*x^7-5*q^-38*x^7-2*q^-37*x^7-5*q^-36*x^7-7*q^-35*x^7-11*q^-34*x^7-13*q^-33*x^7-11*q^-32*x^7-8*q^-31*x^7-8*q^-30*x^7-6*q^-29*x^7-18*q^-28*x^7-21*q^-27*x^7-28*q^-26*x^7-26*q^-25*x^7-21*q^-24*x^7-13*q^-23*x^7-16*q^-22*x^7-19*q^-21*x^7-35*q^-20*x^7-37*q^-19*x^7-37*q^-18*x^7-16*q^-17*x^7-19*q^-16*x^7-28*q^-15*x^7-55*q^-14*x^7-52*q^-13*x^7-38*q^-12*x^7-5*q^-11*x^7-16*q^-10*x^7-28*q^-9*x^7-48*q^-8*x^7-30*q^-7*x^7-12*q^-6*x^7-16*q^-5*x^7-41*q^-4*x^7-20*q^-3*x^7+2*q^-2*x^7+8*q^-1*x^7-20*x^7+4*q*x^7-18*q^2*x^7+10*q^3*x^7+6*q^4*x^7-q^7*x^7-q^-82*x^8-q^-75*x^8-q^-74*x^8-q^-73*x^8-q^-72*x^8-q^-71*x^8-q^-70*x^8-q^-68*x^8-q^-67*x^8-2*q^-66*x^8-2*q^-65*x^8-3*q^-64*x^8-5*q^-63*x^8-5*q^-62*x^8-5*q^-61*x^8-5*q^-60*x^8-5*q^-59*x^8-6*q^-58*x^8-3*q^-57*x^8-6*q^-56*x^8-9*q^-55*x^8-12*q^-54*x^8-14*q^-53*x^8-18*q^-52*x^8-15*q^-51*x^8-13*q^-50*x^8-12*q^-49*x^8-12*q^-48*x^8-14*q^-47*x^8-25*q^-46*x^8-31*q^-45*x^8-38*q^-44*x^8-39*q^-43*x^8-43*q^-42*x^8-31*q^-41*x^8-30*q^-40*x^8-28*q^-39*x^8-37*q^-38*x^8-44*q^-37*x^8-63*q^-36*x^8-71*q^-35*x^8-72*q^-34*x^8-60*q^-33*x^8-44*q^-32*x^8-44*q^-31*x^8-59*q^-30*x^8-79*q^-29*x^8-119*q^-28*x^8-115*q^-27*x^8-102*q^-26*x^8-69*q^-25*x^8-49*q^-24*x^8-47*q^-23*x^8-87*q^-22*x^8-115*q^-21*x^8-134*q^-20*x^8-103*q^-19*x^8-75*q^-18*x^8-40*q^-17*x^8-77*q^-16*x^8-116*q^-15*x^8-146*q^-14*x^8-92*q^-13*x^8-36*q^-12*x^8+2*q^-11*x^8-55*q^-10*x^8-85*q^-9*x^8-86*q^-8*x^8-43*q^-7*x^8-14*q^-6*x^8-27*q^-5*x^8-60*q^-4*x^8-18*q^-3*x^8+17*q^-2*x^8+14*q^-1*x^8-31*x^8+5*q*x^8-21*q^2*x^8+14*q^3*x^8+10*q^4*x^8-q^5*x^8-3*q^7*x^8-q^9*x^8-q^-110*x^9-q^-102*x^9-q^-101*x^9-q^-100*x^9-q^-99*x^9-q^-98*x^9-q^-97*x^9-q^-96*x^9-q^-94*x^9-q^-93*x^9-2*q^-92*x^9-2*q^-91*x^9-3*q^-90*x^9-3*q^-89*x^9-6*q^-88*x^9-5*q^-87*x^9-6*q^-86*x^9-5*q^-85*x^9-6*q^-84*x^9-6*q^-83*x^9-7*q^-82*x^9-4*q^-81*x^9-8*q^-80*x^9-10*q^-79*x^9-14*q^-78*x^9-16*q^-77*x^9-19*q^-76*x^9-22*q^-75*x^9-21*q^-74*x^9-17*q^-73*x^9-18*q^-72*x^9-17*q^-71*x^9-21*q^-70*x^9-22*q^-69*x^9-36*q^-68*x^9-42*q^-67*x^9-53*q^-66*x^9-53*q^-65*x^9-60*q^-64*x^9-57*q^-63*x^9-53*q^-62*x^9-47*q^-61*x^9-52*q^-60*x^9-56*q^-59*x^9-72*q^-58*x^9-82*q^-57*x^9-108*q^-56*x^9-118*q^-55*x^9-123*q^-54*x^9-114*q^-53*x^9-110*q^-52*x^9-88*q^-51*x^9-97*q^-50*x^9-109*q^-49*x^9-147*q^-48*x^9-180*q^-47*x^9-223*q^-46*x^9-222*q^-45*x^9-216*q^-44*x^9-178*q^-43*x^9-159*q^-42*x^9-128*q^-41*x^9-158*q^-40*x^9-200*q^-39*x^9-263*q^-38*x^9-294*q^-37*x^9-313*q^-36*x^9-270*q^-35*x^9-223*q^-34*x^9-169*q^-33*x^9-179*q^-32*x^9-236*q^-31*x^9-328*q^-30*x^9-372*q^-29*x^9-396*q^-28*x^9-285*q^-27*x^9-192*q^-26*x^9-119*q^-25*x^9-147*q^-24*x^9-228*q^-23*x^9-347*q^-22*x^9-354*q^-21*x^9-303*q^-20*x^9-165*q^-19*x^9-120*q^-18*x^9-115*q^-17*x^9-239*q^-16*x^9-284*q^-15*x^9-248*q^-14*x^9-87*q^-13*x^9-5*q^-12*x^9-19*q^-11*x^9-149*q^-10*x^9-165*q^-9*x^9-128*q^-8*x^9-40*q^-7*x^9-3*q^-6*x^9-32*q^-5*x^9-79*q^-4*x^9-8*q^-3*x^9+39*q^-2*x^9+21*q^-1*x^9-50*x^9+3*q*x^9-25*q^2*x^9+20*q^3*x^9+12*q^4*x^9-5*q^5*x^9-7*q^7*x^9-3*q^9*x^9-q^-142*x^10-q^-133*x^10-q^-132*x^10-q^-131*x^10-q^-130*x^10-q^-129*x^10-q^-128*x^10-q^-127*x^10-q^-126*x^10-q^-124*x^10-q^-123*x^10-2*q^-122*x^10-2*q^-121*x^10-3*q^-120*x^10-3*q^-119*x^10-4*q^-118*x^10-6*q^-117*x^10-6*q^-116*x^10-6*q^-115*x^10-6*q^-114*x^10-6*q^-113*x^10-7*q^-112*x^10-7*q^-111*x^10-8*q^-110*x^10-6*q^-109*x^10-9*q^-108*x^10-12*q^-107*x^10-16*q^-106*x^10-18*q^-105*x^10-21*q^-104*x^10-24*q^-103*x^10-28*q^-102*x^10-25*q^-101*x^10-24*q^-100*x^10-23*q^-99*x^10-24*q^-98*x^10-27*q^-97*x^10-30*q^-96*x^10-34*q^-95*x^10-49*q^-94*x^10-58*q^-93*x^10-68*q^-92*x^10-72*q^-91*x^10-79*q^-90*x^10-79*q^-89*x^10-84*q^-88*x^10-75*q^-87*x^10-76*q^-86*x^10-77*q^-85*x^10-91*q^-84*x^10-102*q^-83*x^10-122*q^-82*x^10-140*q^-81*x^10-169*q^-80*x^10-184*q^-79*x^10-194*q^-78*x^10-191*q^-77*x^10-188*q^-76*x^10-180*q^-75*x^10-170*q^-74*x^10-176*q^-73*x^10-209*q^-72*x^10-244*q^-71*x^10-299*q^-70*x^10-340*q^-69*x^10-392*q^-68*x^10-402*q^-67*x^10-397*q^-66*x^10-360*q^-65*x^10-344*q^-64*x^10-317*q^-63*x^10-325*q^-62*x^10-363*q^-61*x^10-443*q^-60*x^10-517*q^-59*x^10-603*q^-58*x^10-638*q^-57*x^10-650*q^-56*x^10-595*q^-55*x^10-538*q^-54*x^10-475*q^-53*x^10-480*q^-52*x^10-514*q^-51*x^10-644*q^-50*x^10-773*q^-49*x^10-906*q^-48*x^10-931*q^-47*x^10-899*q^-46*x^10-750*q^-45*x^10-619*q^-44*x^10-506*q^-43*x^10-535*q^-42*x^10-625*q^-41*x^10-841*q^-40*x^10-1004*q^-39*x^10-1075*q^-38*x^10-993*q^-37*x^10-829*q^-36*x^10-611*q^-35*x^10-510*q^-34*x^10-538*q^-33*x^10-737*q^-32*x^10-951*q^-31*x^10-1078*q^-30*x^10-967*q^-29*x^10-761*q^-28*x^10-409*q^-27*x^10-267*q^-26*x^10-314*q^-25*x^10-567*q^-24*x^10-788*q^-23*x^10-891*q^-22*x^10-693*q^-21*x^10-419*q^-20*x^10-163*q^-19*x^10-198*q^-18*x^10-328*q^-17*x^10-539*q^-16*x^10-489*q^-15*x^10-281*q^-14*x^10-8*q^-13*x^10+19*q^-12*x^10-107*q^-11*x^10-297*q^-10*x^10-273*q^-9*x^10-148*q^-8*x^10-3*q^-7*x^10+34*q^-6*x^10-36*q^-5*x^10-105*q^-4*x^10+66*q^-2*x^10+24*q^-1*x^10-83*x^10-12*q*x^10-31*q^2*x^10+26*q^3*x^10+13*q^4*x^10-16*q^5*x^10-2*q^6*x^10-14*q^7*x^10-6*q^9*x^10+q^14*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12a_77 | [1, -2, -2, 1, 1, -2, 3, -4, -2, 3, -4, 3] | [1, 1, -1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1] | -x^3-6*x^4+q^-1*x^5-21*x^5+2*q*x^5+q^-2*x^6+6*q^-1*x^6-56*x^6+12*q*x^6+6*q^2*x^6-q^-4*x^7-3*q^-3*x^7+7*q^-2*x^7+21*q^-1*x^7-128*x^7+43*q*x^7+35*q^2*x^7+10*q^3*x^7-2*q^-6*x^8-5*q^-5*x^8-14*q^-4*x^8-14*q^-3*x^8+27*q^-2*x^8+54*q^-1*x^8-265*x^8+112*q*x^8+124*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^9-8*q^-7*x^9-14*q^-6*x^9-39*q^-5*x^9-61*q^-4*x^9-38*q^-3*x^9+85*q^-2*x^9+115*q^-1*x^9-519*x^9+238*q*x^9+328*q^2*x^9+182*q^3*x^9+65*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^10-14*q^-9*x^10-23*q^-8*x^10-34*q^-7*x^10-58*q^-6*x^10-146*q^-5*x^10-167*q^-4*x^10-49*q^-3*x^10+246*q^-2*x^10+227*q^-1*x^10-974*x^10+421*q*x^10+730*q^2*x^10+465*q^3*x^10+196*q^4*x^10-72*q^5*x^10-82*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_79 | [1, -2, 1, 2, 3, -4, 3, -4, 3, 4, 2, 4, 2, -3] | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1] | -q*x-q^-5*x^2-q^-3*x^2-q^-1*x^2-2*q*x^2-q^-17*x^3-q^-14*x^3-q^-13*x^3-q^-11*x^3-q^-10*x^3-q^-9*x^3-q^-8*x^3-q^-7*x^3-2*q^-6*x^3-3*q^-5*x^3-2*q^-3*x^3-q^-2*x^3-2*q^-1*x^3-3*q*x^3-q^-35*x^4-q^-31*x^4-q^-30*x^4-q^-29*x^4-q^-27*x^4-q^-26*x^4-2*q^-25*x^4-q^-24*x^4-2*q^-23*x^4-q^-22*x^4-2*q^-21*x^4-2*q^-20*x^4-4*q^-19*x^4-3*q^-18*x^4-4*q^-17*x^4-q^-16*x^4-4*q^-15*x^4-5*q^-14*x^4-4*q^-13*x^4-q^-12*x^4-5*q^-11*x^4-5*q^-10*x^4-4*q^-9*x^4-2*q^-8*x^4-5*q^-7*x^4-5*q^-6*x^4-6*q^-5*x^4-4*q^-3*x^4-2*q^-2*x^4-3*q^-1*x^4-4*q*x^4-q^-59*x^5-q^-54*x^5-q^-53*x^5-q^-52*x^5-q^-51*x^5-q^-49*x^5-q^-48*x^5-2*q^-47*x^5-2*q^-46*x^5-2*q^-45*x^5-2*q^-44*x^5-2*q^-43*x^5-2*q^-42*x^5-3*q^-41*x^5-3*q^-40*x^5-4*q^-39*x^5-5*q^-38*x^5-5*q^-37*x^5-5*q^-36*x^5-6*q^-35*x^5-4*q^-34*x^5-6*q^-33*x^5-7*q^-32*x^5-10*q^-31*x^5-8*q^-30*x^5-7*q^-29*x^5-6*q^-28*x^5-9*q^-27*x^5-11*q^-26*x^5-12*q^-25*x^5-9*q^-24*x^5-10*q^-23*x^5-8*q^-22*x^5-13*q^-21*x^5-13*q^-20*x^5-15*q^-19*x^5-11*q^-18*x^5-11*q^-17*x^5-9*q^-16*x^5-14*q^-15*x^5-14*q^-14*x^5-10*q^-13*x^5-6*q^-12*x^5-14*q^-11*x^5-12*q^-10*x^5-8*q^-9*x^5-6*q^-8*x^5-10*q^-7*x^5-10*q^-6*x^5-9*q^-5*x^5-q^-4*x^5-6*q^-3*x^5-4*q^-2*x^5-4*q^-1*x^5-5*q*x^5-q^-89*x^6-q^-83*x^6-q^-82*x^6-q^-81*x^6-q^-80*x^6-q^-79*x^6-q^-77*x^6-q^-76*x^6-2*q^-75*x^6-2*q^-74*x^6-3*q^-73*x^6-2*q^-72*x^6-3*q^-71*x^6-2*q^-70*x^6-3*q^-69*x^6-3*q^-68*x^6-4*q^-67*x^6-4*q^-66*x^6-6*q^-65*x^6-5*q^-64*x^6-7*q^-63*x^6-7*q^-62*x^6-8*q^-61*x^6-7*q^-60*x^6-10*q^-59*x^6-7*q^-58*x^6-10*q^-57*x^6-11*q^-56*x^6-14*q^-55*x^6-15*q^-54*x^6-16*q^-53*x^6-13*q^-52*x^6-14*q^-51*x^6-13*q^-50*x^6-19*q^-49*x^6-20*q^-48*x^6-25*q^-47*x^6-22*q^-46*x^6-22*q^-45*x^6-20*q^-44*x^6-22*q^-43*x^6-23*q^-42*x^6-31*q^-41*x^6-30*q^-40*x^6-34*q^-39*x^6-31*q^-38*x^6-31*q^-37*x^6-27*q^-36*x^6-33*q^-35*x^6-31*q^-34*x^6-39*q^-33*x^6-39*q^-32*x^6-41*q^-31*x^6-31*q^-30*x^6-32*q^-29*x^6-31*q^-28*x^6-42*q^-27*x^6-43*q^-26*x^6-41*q^-25*x^6-30*q^-24*x^6-33*q^-23*x^6-31*q^-22*x^6-42*q^-21*x^6-39*q^-20*x^6-38*q^-19*x^6-26*q^-18*x^6-30*q^-17*x^6-27*q^-16*x^6-32*q^-15*x^6-28*q^-14*x^6-23*q^-13*x^6-18*q^-12*x^6-28*q^-11*x^6-21*q^-10*x^6-17*q^-9*x^6-11*q^-8*x^6-17*q^-7*x^6-16*q^-6*x^6-15*q^-5*x^6-2*q^-4*x^6-8*q^-3*x^6-6*q^-2*x^6-7*q^-1*x^6-6*q*x^6-q^-125*x^7-q^-118*x^7-q^-117*x^7-q^-116*x^7-q^-115*x^7-q^-114*x^7-q^-113*x^7-q^-111*x^7-q^-110*x^7-2*q^-109*x^7-2*q^-108*x^7-3*q^-107*x^7-3*q^-106*x^7-3*q^-105*x^7-3*q^-104*x^7-3*q^-103*x^7-3*q^-102*x^7-4*q^-101*x^7-4*q^-100*x^7-5*q^-99*x^7-6*q^-98*x^7-7*q^-97*x^7-7*q^-96*x^7-8*q^-95*x^7-9*q^-94*x^7-10*q^-93*x^7-10*q^-92*x^7-11*q^-91*x^7-12*q^-90*x^7-14*q^-89*x^7-12*q^-88*x^7-15*q^-87*x^7-17*q^-86*x^7-20*q^-85*x^7-21*q^-84*x^7-25*q^-83*x^7-24*q^-82*x^7-24*q^-81*x^7-24*q^-80*x^7-25*q^-79*x^7-27*q^-78*x^7-33*q^-77*x^7-37*q^-76*x^7-41*q^-75*x^7-42*q^-74*x^7-44*q^-73*x^7-40*q^-72*x^7-43*q^-71*x^7-43*q^-70*x^7-50*q^-69*x^7-53*q^-68*x^7-61*q^-67*x^7-64*q^-66*x^7-69*q^-65*x^7-66*q^-64*x^7-69*q^-63*x^7-69*q^-62*x^7-71*q^-61*x^7-72*q^-60*x^7-82*q^-59*x^7-83*q^-58*x^7-92*q^-57*x^7-95*q^-56*x^7-99*q^-55*x^7-95*q^-54*x^7-94*q^-53*x^7-89*q^-52*x^7-97*q^-51*x^7-103*q^-50*x^7-119*q^-49*x^7-120*q^-48*x^7-121*q^-47*x^7-109*q^-46*x^7-105*q^-45*x^7-104*q^-44*x^7-114*q^-43*x^7-124*q^-42*x^7-138*q^-41*x^7-130*q^-40*x^7-126*q^-39*x^7-114*q^-38*x^7-111*q^-37*x^7-108*q^-36*x^7-125*q^-35*x^7-125*q^-34*x^7-132*q^-33*x^7-120*q^-32*x^7-113*q^-31*x^7-97*q^-30*x^7-100*q^-29*x^7-106*q^-28*x^7-120*q^-27*x^7-113*q^-26*x^7-101*q^-25*x^7-79*q^-24*x^7-83*q^-23*x^7-83*q^-22*x^7-98*q^-21*x^7-89*q^-20*x^7-78*q^-19*x^7-60*q^-18*x^7-63*q^-17*x^7-57*q^-16*x^7-61*q^-15*x^7-54*q^-14*x^7-48*q^-13*x^7-38*q^-12*x^7-45*q^-11*x^7-37*q^-10*x^7-29*q^-9*x^7-21*q^-8*x^7-25*q^-7*x^7-25*q^-6*x^7-23*q^-5*x^7-6*q^-4*x^7-10*q^-3*x^7-8*q^-2*x^7-10*q^-1*x^7-3*x^7-7*q*x^7-q^-167*x^8-q^-159*x^8-q^-158*x^8-q^-157*x^8-q^-156*x^8-q^-155*x^8-q^-154*x^8-q^-153*x^8-q^-151*x^8-q^-150*x^8-2*q^-149*x^8-2*q^-148*x^8-3*q^-147*x^8-3*q^-146*x^8-4*q^-145*x^8-3*q^-144*x^8-4*q^-143*x^8-3*q^-142*x^8-4*q^-141*x^8-4*q^-140*x^8-5*q^-139*x^8-5*q^-138*x^8-7*q^-137*x^8-7*q^-136*x^8-9*q^-135*x^8-9*q^-134*x^8-10*q^-133*x^8-10*q^-132*x^8-13*q^-131*x^8-12*q^-130*x^8-14*q^-129*x^8-14*q^-128*x^8-17*q^-127*x^8-17*q^-126*x^8-20*q^-125*x^8-18*q^-124*x^8-23*q^-123*x^8-24*q^-122*x^8-28*q^-121*x^8-29*q^-120*x^8-34*q^-119*x^8-36*q^-118*x^8-38*q^-117*x^8-36*q^-116*x^8-40*q^-115*x^8-40*q^-114*x^8-45*q^-113*x^8-46*q^-112*x^8-56*q^-111*x^8-60*q^-110*x^8-68*q^-109*x^8-68*q^-108*x^8-75*q^-107*x^8-73*q^-106*x^8-76*q^-105*x^8-76*q^-104*x^8-83*q^-103*x^8-87*q^-102*x^8-99*q^-101*x^8-103*q^-100*x^8-117*q^-99*x^8-121*q^-98*x^8-129*q^-97*x^8-128*q^-96*x^8-137*q^-95*x^8-136*q^-94*x^8-145*q^-93*x^8-145*q^-92*x^8-160*q^-91*x^8-166*q^-90*x^8-181*q^-89*x^8-184*q^-88*x^8-202*q^-87*x^8-207*q^-86*x^8-217*q^-85*x^8-214*q^-84*x^8-225*q^-83*x^8-220*q^-82*x^8-230*q^-81*x^8-235*q^-80*x^8-257*q^-79*x^8-269*q^-78*x^8-294*q^-77*x^8-296*q^-76*x^8-305*q^-75*x^8-295*q^-74*x^8-297*q^-73*x^8-287*q^-72*x^8-308*q^-71*x^8-318*q^-70*x^8-349*q^-69*x^8-360*q^-68*x^8-380*q^-67*x^8-373*q^-66*x^8-374*q^-65*x^8-353*q^-64*x^8-361*q^-63*x^8-359*q^-62*x^8-378*q^-61*x^8-388*q^-60*x^8-419*q^-59*x^8-417*q^-58*x^8-426*q^-57*x^8-409*q^-56*x^8-405*q^-55*x^8-384*q^-54*x^8-389*q^-53*x^8-387*q^-52*x^8-418*q^-51*x^8-428*q^-50*x^8-446*q^-49*x^8-421*q^-48*x^8-407*q^-47*x^8-370*q^-46*x^8-367*q^-45*x^8-370*q^-44*x^8-401*q^-43*x^8-410*q^-42*x^8-420*q^-41*x^8-377*q^-40*x^8-356*q^-39*x^8-322*q^-38*x^8-324*q^-37*x^8-323*q^-36*x^8-355*q^-35*x^8-341*q^-34*x^8-332*q^-33*x^8-289*q^-32*x^8-271*q^-31*x^8-246*q^-30*x^8-260*q^-29*x^8-262*q^-28*x^8-274*q^-27*x^8-243*q^-26*x^8-214*q^-25*x^8-175*q^-24*x^8-182*q^-23*x^8-178*q^-22*x^8-196*q^-21*x^8-173*q^-20*x^8-155*q^-19*x^8-120*q^-18*x^8-116*q^-17*x^8-101*q^-16*x^8-109*q^-15*x^8-102*q^-14*x^8-90*q^-13*x^8-67*q^-12*x^8-73*q^-11*x^8-57*q^-10*x^8-49*q^-9*x^8-35*q^-8*x^8-40*q^-7*x^8-36*q^-6*x^8-34*q^-5*x^8-13*q^-4*x^8-16*q^-3*x^8-10*q^-2*x^8-13*q^-1*x^8-6*x^8-12*q*x^8-q^-215*x^9-q^-206*x^9-q^-205*x^9-q^-204*x^9-q^-203*x^9-q^-202*x^9-q^-201*x^9-q^-200*x^9-q^-199*x^9-q^-197*x^9-q^-196*x^9-2*q^-195*x^9-2*q^-194*x^9-3*q^-193*x^9-3*q^-192*x^9-4*q^-191*x^9-4*q^-190*x^9-4*q^-189*x^9-4*q^-188*x^9-4*q^-187*x^9-4*q^-186*x^9-5*q^-185*x^9-5*q^-184*x^9-6*q^-183*x^9-7*q^-182*x^9-8*q^-181*x^9-9*q^-180*x^9-11*q^-179*x^9-11*q^-178*x^9-12*q^-177*x^9-13*q^-176*x^9-14*q^-175*x^9-15*q^-174*x^9-17*q^-173*x^9-17*q^-172*x^9-19*q^-171*x^9-21*q^-170*x^9-23*q^-169*x^9-24*q^-168*x^9-28*q^-167*x^9-27*q^-166*x^9-31*q^-165*x^9-34*q^-164*x^9-38*q^-163*x^9-40*q^-162*x^9-45*q^-161*x^9-48*q^-160*x^9-53*q^-159*x^9-54*q^-158*x^9-56*q^-157*x^9-58*q^-156*x^9-63*q^-155*x^9-66*q^-154*x^9-71*q^-153*x^9-77*q^-152*x^9-87*q^-151*x^9-95*q^-150*x^9-104*q^-149*x^9-108*q^-148*x^9-115*q^-147*x^9-119*q^-146*x^9-125*q^-145*x^9-125*q^-144*x^9-134*q^-143*x^9-138*q^-142*x^9-152*q^-141*x^9-163*q^-140*x^9-177*q^-139*x^9-188*q^-138*x^9-206*q^-137*x^9-214*q^-136*x^9-227*q^-135*x^9-233*q^-134*x^9-242*q^-133*x^9-249*q^-132*x^9-264*q^-131*x^9-271*q^-130*x^9-288*q^-129*x^9-303*q^-128*x^9-325*q^-127*x^9-340*q^-126*x^9-364*q^-125*x^9-377*q^-124*x^9-401*q^-123*x^9-415*q^-122*x^9-432*q^-121*x^9-442*q^-120*x^9-462*q^-119*x^9-471*q^-118*x^9-487*q^-117*x^9-501*q^-116*x^9-532*q^-115*x^9-555*q^-114*x^9-592*q^-113*x^9-615*q^-112*x^9-653*q^-111*x^9-671*q^-110*x^9-689*q^-109*x^9-690*q^-108*x^9-707*q^-107*x^9-711*q^-106*x^9-735*q^-105*x^9-762*q^-104*x^9-805*q^-103*x^9-844*q^-102*x^9-893*q^-101*x^9-918*q^-100*x^9-948*q^-99*x^9-954*q^-98*x^9-962*q^-97*x^9-958*q^-96*x^9-981*q^-95*x^9-990*q^-94*x^9-1030*q^-93*x^9-1063*q^-92*x^9-1119*q^-91*x^9-1149*q^-90*x^9-1191*q^-89*x^9-1196*q^-88*x^9-1217*q^-87*x^9-1210*q^-86*x^9-1213*q^-85*x^9-1204*q^-84*x^9-1231*q^-83*x^9-1247*q^-82*x^9-1290*q^-81*x^9-1330*q^-80*x^9-1381*q^-79*x^9-1399*q^-78*x^9-1415*q^-77*x^9-1384*q^-76*x^9-1370*q^-75*x^9-1334*q^-74*x^9-1339*q^-73*x^9-1345*q^-72*x^9-1412*q^-71*x^9-1448*q^-70*x^9-1501*q^-69*x^9-1497*q^-68*x^9-1482*q^-67*x^9-1423*q^-66*x^9-1384*q^-65*x^9-1336*q^-64*x^9-1351*q^-63*x^9-1372*q^-62*x^9-1419*q^-61*x^9-1441*q^-60*x^9-1464*q^-59*x^9-1415*q^-58*x^9-1371*q^-57*x^9-1297*q^-56*x^9-1264*q^-55*x^9-1227*q^-54*x^9-1250*q^-53*x^9-1261*q^-52*x^9-1299*q^-51*x^9-1283*q^-50*x^9-1251*q^-49*x^9-1161*q^-48*x^9-1101*q^-47*x^9-1034*q^-46*x^9-1029*q^-45*x^9-1042*q^-44*x^9-1074*q^-43*x^9-1058*q^-42*x^9-1024*q^-41*x^9-920*q^-40*x^9-857*q^-39*x^9-796*q^-38*x^9-794*q^-37*x^9-790*q^-36*x^9-817*q^-35*x^9-768*q^-34*x^9-716*q^-33*x^9-630*q^-32*x^9-587*q^-31*x^9-552*q^-30*x^9-563*q^-29*x^9-553*q^-28*x^9-541*q^-27*x^9-477*q^-26*x^9-418*q^-25*x^9-356*q^-24*x^9-355*q^-23*x^9-342*q^-22*x^9-353*q^-21*x^9-321*q^-20*x^9-285*q^-19*x^9-223*q^-18*x^9-199*q^-17*x^9-174*q^-16*x^9-185*q^-15*x^9-177*q^-14*x^9-155*q^-13*x^9-120*q^-12*x^9-114*q^-11*x^9-90*q^-10*x^9-74*q^-9*x^9-60*q^-8*x^9-62*q^-7*x^9-55*q^-6*x^9-48*q^-5*x^9-24*q^-4*x^9-26*q^-3*x^9-17*q^-2*x^9-16*q^-1*x^9-9*x^9-17*q*x^9-5*q^2*x^9-q^-269*x^10-q^-259*x^10-q^-258*x^10-q^-257*x^10-q^-256*x^10-q^-255*x^10-q^-254*x^10-q^-253*x^10-q^-252*x^10-q^-251*x^10-q^-249*x^10-q^-248*x^10-2*q^-247*x^10-2*q^-246*x^10-3*q^-245*x^10-3*q^-244*x^10-4*q^-243*x^10-4*q^-242*x^10-5*q^-241*x^10-4*q^-240*x^10-5*q^-239*x^10-4*q^-238*x^10-5*q^-237*x^10-5*q^-236*x^10-6*q^-235*x^10-6*q^-234*x^10-8*q^-233*x^10-8*q^-232*x^10-10*q^-231*x^10-11*q^-230*x^10-13*q^-229*x^10-13*q^-228*x^10-15*q^-227*x^10-15*q^-226*x^10-17*q^-225*x^10-17*q^-224*x^10-20*q^-223*x^10-20*q^-222*x^10-23*q^-221*x^10-23*q^-220*x^10-27*q^-219*x^10-28*q^-218*x^10-32*q^-217*x^10-33*q^-216*x^10-38*q^-215*x^10-37*q^-214*x^10-43*q^-213*x^10-45*q^-212*x^10-51*q^-211*x^10-53*q^-210*x^10-60*q^-209*x^10-62*q^-208*x^10-69*q^-207*x^10-73*q^-206*x^10-78*q^-205*x^10-79*q^-204*x^10-86*q^-203*x^10-88*q^-202*x^10-97*q^-201*x^10-101*q^-200*x^10-112*q^-199*x^10-117*q^-198*x^10-133*q^-197*x^10-141*q^-196*x^10-155*q^-195*x^10-161*q^-194*x^10-174*q^-193*x^10-178*q^-192*x^10-191*q^-191*x^10-194*q^-190*x^10-206*q^-189*x^10-212*q^-188*x^10-229*q^-187*x^10-241*q^-186*x^10-264*q^-185*x^10-278*q^-184*x^10-303*q^-183*x^10-319*q^-182*x^10-345*q^-181*x^10-358*q^-180*x^10-382*q^-179*x^10-390*q^-178*x^10-412*q^-177*x^10-424*q^-176*x^10-449*q^-175*x^10-464*q^-174*x^10-496*q^-173*x^10-513*q^-172*x^10-552*q^-171*x^10-578*q^-170*x^10-618*q^-169*x^10-643*q^-168*x^10-686*q^-167*x^10-708*q^-166*x^10-750*q^-165*x^10-776*q^-164*x^10-815*q^-163*x^10-836*q^-162*x^10-879*q^-161*x^10-903*q^-160*x^10-948*q^-159*x^10-975*q^-158*x^10-1027*q^-157*x^10-1066*q^-156*x^10-1131*q^-155*x^10-1175*q^-154*x^10-1243*q^-153*x^10-1289*q^-152*x^10-1358*q^-151*x^10-1393*q^-150*x^10-1446*q^-149*x^10-1468*q^-148*x^10-1519*q^-147*x^10-1550*q^-146*x^10-1611*q^-145*x^10-1652*q^-144*x^10-1740*q^-143*x^10-1805*q^-142*x^10-1909*q^-141*x^10-1979*q^-140*x^10-2067*q^-139*x^10-2118*q^-138*x^10-2193*q^-137*x^10-2220*q^-136*x^10-2276*q^-135*x^10-2302*q^-134*x^10-2368*q^-133*x^10-2417*q^-132*x^10-2519*q^-131*x^10-2588*q^-130*x^10-2707*q^-129*x^10-2792*q^-128*x^10-2905*q^-127*x^10-2969*q^-126*x^10-3060*q^-125*x^10-3094*q^-124*x^10-3162*q^-123*x^10-3185*q^-122*x^10-3250*q^-121*x^10-3286*q^-120*x^10-3379*q^-119*x^10-3441*q^-118*x^10-3557*q^-117*x^10-3645*q^-116*x^10-3781*q^-115*x^10-3858*q^-114*x^10-3964*q^-113*x^10-3996*q^-112*x^10-4061*q^-111*x^10-4056*q^-110*x^10-4090*q^-109*x^10-4084*q^-108*x^10-4161*q^-107*x^10-4215*q^-106*x^10-4347*q^-105*x^10-4451*q^-104*x^10-4595*q^-103*x^10-4669*q^-102*x^10-4756*q^-101*x^10-4735*q^-100*x^10-4740*q^-99*x^10-4679*q^-98*x^10-4679*q^-97*x^10-4661*q^-96*x^10-4748*q^-95*x^10-4805*q^-94*x^10-4950*q^-93*x^10-5030*q^-92*x^10-5138*q^-91*x^10-5133*q^-90*x^10-5140*q^-89*x^10-5043*q^-88*x^10-5002*q^-87*x^10-4914*q^-86*x^10-4912*q^-85*x^10-4898*q^-84*x^10-4994*q^-83*x^10-5043*q^-82*x^10-5142*q^-81*x^10-5154*q^-80*x^10-5170*q^-79*x^10-5061*q^-78*x^10-4974*q^-77*x^10-4809*q^-76*x^10-4738*q^-75*x^10-4657*q^-74*x^10-4700*q^-73*x^10-4726*q^-72*x^10-4839*q^-71*x^10-4830*q^-70*x^10-4819*q^-69*x^10-4657*q^-68*x^10-4503*q^-67*x^10-4288*q^-66*x^10-4181*q^-65*x^10-4081*q^-64*x^10-4127*q^-63*x^10-4150*q^-62*x^10-4206*q^-61*x^10-4142*q^-60*x^10-4058*q^-59*x^10-3833*q^-58*x^10-3654*q^-57*x^10-3451*q^-56*x^10-3375*q^-55*x^10-3308*q^-54*x^10-3349*q^-53*x^10-3323*q^-52*x^10-3312*q^-51*x^10-3163*q^-50*x^10-3006*q^-49*x^10-2770*q^-48*x^10-2632*q^-47*x^10-2497*q^-46*x^10-2483*q^-45*x^10-2460*q^-44*x^10-2463*q^-43*x^10-2354*q^-42*x^10-2237*q^-41*x^10-2014*q^-40*x^10-1879*q^-39*x^10-1748*q^-38*x^10-1722*q^-37*x^10-1674*q^-36*x^10-1669*q^-35*x^10-1548*q^-34*x^10-1439*q^-33*x^10-1276*q^-32*x^10-1195*q^-31*x^10-1112*q^-30*x^10-1098*q^-29*x^10-1042*q^-28*x^10-998*q^-27*x^10-881*q^-26*x^10-785*q^-25*x^10-675*q^-24*x^10-651*q^-23*x^10-608*q^-22*x^10-615*q^-21*x^10-558*q^-20*x^10-499*q^-19*x^10-394*q^-18*x^10-344*q^-17*x^10-296*q^-16*x^10-301*q^-15*x^10-282*q^-14*x^10-259*q^-13*x^10-207*q^-12*x^10-187*q^-11*x^10-140*q^-10*x^10-116*q^-9*x^10-92*q^-8*x^10-97*q^-7*x^10-84*q^-6*x^10-74*q^-5*x^10-39*q^-4*x^10-41*q^-3*x^10-29*q^-2*x^10-25*q^-1*x^10-12*x^10-22*q*x^10-10*q^2*x^10-6*q^3*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12a_79 | [1, -2, -2, 1, 1, -2, 3, -2, 3, -4, 3, -2, 3, 4] | [1, 1, -1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1] | -x^3-6*x^4+2*q^-1*x^5-21*x^5-q*x^5+q^-2*x^6+12*q^-1*x^6-56*x^6-6*q*x^6-2*q^2*x^6-4*q^-3*x^7+5*q^-2*x^7+42*q^-1*x^7-124*x^7-22*q*x^7-11*q^2*x^7-4*q^3*x^7-2*q^4*x^7-q^-5*x^8-4*q^-4*x^8-25*q^-3*x^8+11*q^-2*x^8+113*q^-1*x^8-241*x^8-58*q*x^8-38*q^2*x^8-20*q^3*x^8-18*q^4*x^8-6*q^5*x^8-4*q^6*x^8-q^-7*x^9+4*q^-6*x^9-2*q^-5*x^9-20*q^-4*x^9-98*q^-3*x^9+7*q^-2*x^9+252*q^-1*x^9-422*x^9-127*q*x^9-97*q^2*x^9-57*q^3*x^9-69*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^9-6*q^-7*x^10+41*q^-6*x^10+19*q^-5*x^10-61*q^-4*x^10-292*q^-3*x^10-49*q^-2*x^10+483*q^-1*x^10-688*x^10-246*q*x^10-210*q^2*x^10-117*q^3*x^10-168*q^4*x^10-150*q^5*x^10-150*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_80 | [1, 2, 2, 1, 1, -2, -3, 4, 2, -3, -3, -3, 4, -3] | [-1, 1, 1, 1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1] | -x^3-6*x^4+q^-1*x^5-21*x^5-q*x^5+q^-2*x^6+6*q^-1*x^6-56*x^6-6*q*x^6-2*q^2*x^6-q^-4*x^7+2*q^-3*x^7+7*q^-2*x^7+23*q^-1*x^7-125*x^7-20*q*x^7-11*q^2*x^7-4*q^3*x^7-2*q^4*x^7-2*q^-6*x^8-4*q^-5*x^8+5*q^-4*x^8+14*q^-3*x^8+32*q^-2*x^8+70*q^-1*x^8-240*x^8-48*q*x^8-33*q^2*x^8-20*q^3*x^8-18*q^4*x^8-6*q^5*x^8-4*q^6*x^8-q^-9*x^9-3*q^-8*x^9-8*q^-7*x^9-17*q^-6*x^9+5*q^-5*x^9+45*q^-4*x^9+67*q^-3*x^9+112*q^-2*x^9+195*q^-1*x^9-403*x^9-80*q*x^9-65*q^2*x^9-51*q^3*x^9-71*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^9-2*q^-12*x^10-2*q^-11*x^10-5*q^-10*x^10-16*q^-9*x^10-32*q^-8*x^10-62*q^-7*x^10-22*q^-6*x^10+85*q^-5*x^10+212*q^-4*x^10+246*q^-3*x^10+348*q^-2*x^10+500*q^-1*x^10-565*x^10-66*q*x^10-60*q^2*x^10-64*q^3*x^10-168*q^4*x^10-162*q^5*x^10-154*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_84 | [1, -2, -2, 1, 1, -2, 3, -4, -2, -4, 3, -4] | [1, 1, -1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1] | -q^-1*x^3-6*q^-1*x^4+3*q^-2*x^5-21*q^-1*x^5-2*x^5+5*q^-3*x^6+18*q^-2*x^6-56*q^-1*x^6-12*x^6-6*q*x^6+2*q^-4*x^7+27*q^-3*x^7+67*q^-2*x^7-120*q^-1*x^7-43*x^7-34*q*x^7-16*q^2*x^7-5*q^3*x^7-5*q^-6*x^8-2*q^-5*x^8+2*q^-4*x^8+93*q^-3*x^8+202*q^-2*x^8-207*q^-1*x^8-100*x^8-116*q*x^8-86*q^2*x^8-64*q^3*x^8-22*q^4*x^8-12*q^5*x^8-7*q^-8*x^9-2*q^-7*x^9-34*q^-6*x^9-30*q^-5*x^9-18*q^-4*x^9+249*q^-3*x^9+532*q^-2*x^9-249*q^-1*x^9-143*x^9-253*q*x^9-262*q^2*x^9-278*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^9-4*q^-10*x^10-3*q^-9*x^10-32*q^-8*x^10-13*q^-7*x^10-151*q^-6*x^10-164*q^-5*x^10-137*q^-4*x^10+545*q^-3*x^10+1249*q^-2*x^10-51*q^-1*x^10+35*x^10-301*q*x^10-459*q^2*x^10-718*q^3*x^10-714*q^4*x^10-686*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_87 | [1, -2, -2, 1, 1, -2, 3, -4, -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] | -q^-1*x^3-6*q^-1*x^4+q^-2*x^5-21*q^-1*x^5-2*x^5-q^-3*x^6+6*q^-2*x^6-58*q^-1*x^6-12*x^6-6*q*x^6-q^-5*x^7-5*q^-4*x^7-5*q^-3*x^7+17*q^-2*x^7-136*q^-1*x^7-49*x^7-34*q*x^7-16*q^2*x^7-5*q^3*x^7-2*q^-7*x^8-3*q^-6*x^8-10*q^-5*x^8-28*q^-4*x^8-25*q^-3*x^8+34*q^-2*x^8-295*q^-1*x^8-148*x^8-134*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^9-5*q^-8*x^9-13*q^-7*x^9-21*q^-6*x^9-45*q^-5*x^9-111*q^-4*x^9-101*q^-3*x^9+27*q^-2*x^9-606*q^-1*x^9-403*x^9-407*q*x^9-340*q^2*x^9-304*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^10-40*q^-8*x^10-59*q^-7*x^10-86*q^-6*x^10-172*q^-5*x^10-363*q^-4*x^10-367*q^-3*x^10-117*q^-2*x^10-1265*q^-1*x^10-1021*x^10-1125*q*x^10-1029*q^2*x^10-1052*q^3*x^10-886*q^4*x^10-756*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 |
| 12a_88 | [1, 2, 2, 1, 1, -2, -3, 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, 1, 1, 1, 1] | -q*x^3-7*q*x^4+2*x^5-28*q*x^5+9*q^-1*x^6+14*x^6-87*q*x^6+q^3*x^6+17*q^-2*x^7+62*q^-1*x^7+54*x^7-231*q*x^7-7*q^2*x^7+8*q^3*x^7+2*q^4*x^7-q^5*x^7-11*q^-4*x^8+13*q^-3*x^8+111*q^-2*x^8+252*q^-1*x^8+161*x^8-560*q*x^8-51*q^2*x^8+24*q^3*x^8+18*q^4*x^8-3*q^5*x^8-4*q^6*x^8-2*q^7*x^8-24*q^-6*x^9-44*q^-5*x^9-103*q^-4*x^9+59*q^-3*x^9+447*q^-2*x^9+811*q^-1*x^9+408*x^9-1276*q*x^9-245*q^2*x^9+36*q^3*x^9+74*q^4*x^9+11*q^5*x^9-20*q^6*x^9-20*q^7*x^9-8*q^8*x^9-3*q^9*x^9-q^10*x^9-29*q^-8*x^10-67*q^-7*x^10-252*q^-6*x^10-435*q^-5*x^10-593*q^-4*x^10+173*q^-3*x^10+1484*q^-2*x^10+2299*q^-1*x^10+967*x^10-2796*q*x^10-902*q^2*x^10-72*q^3*x^10+223*q^4*x^10+107*q^5*x^10-26*q^6*x^10-80*q^7*x^10-62*q^8*x^10-34*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_89 | [1, 1, -2, -3, 2, 1, 1, 1, 2, 2, 3, 3, -2] | [1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1] | -q^3*x^3-3*q^3*x^4-2*q^2*x^5-6*q^3*x^5+2*q^4*x^5-5*q*x^6-6*q^2*x^6-7*q^3*x^6+6*q^4*x^6-q^5*x^6-3*q^-1*x^7-10*x^7-15*q*x^7-4*q^2*x^7-2*q^3*x^7+9*q^4*x^7-4*q^5*x^7-q^6*x^7-7*q^-3*x^8-10*q^-2*x^8-26*q^-1*x^8-25*x^8-9*q*x^8+15*q^2*x^8+2*q^3*x^8+3*q^4*x^8-13*q^5*x^8-2*q^6*x^8+q^7*x^8+q^8*x^8-4*q^-6*x^9-14*q^-5*x^9-24*q^-4*x^9-42*q^-3*x^9-44*q^-2*x^9-41*q^-1*x^9+4*x^9+32*q*x^9+27*q^2*x^9-21*q^3*x^9-25*q^4*x^9-23*q^5*x^9+5*q^6*x^9+6*q^7*x^9-9*q^-9*x^10-14*q^-8*x^10-38*q^-7*x^10-60*q^-6*x^10-86*q^-5*x^10-77*q^-4*x^10-72*q^-3*x^10-13*q^-2*x^10+39*q^-1*x^10+79*x^10+33*q*x^10-42*q^2*x^10-100*q^3*x^10-55*q^4*x^10-6*q^5*x^10+35*q^6*x^10+12*q^7*x^10-4*q^8*x^10-2*q^9*x^10-q^10*x^10-q^11*x^10-q^12*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12a_90 | [1, 3, 4, 4, 2, -3, 2, 1, 4, -3, 1, -3, -2, -2] | [-1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1] | -q*x^3-6*q*x^4+2*x^5-21*q*x^5+q^2*x^5+5*q^-1*x^6+12*x^6-56*q*x^6+6*q^2*x^6+2*q^3*x^6+4*q^-2*x^7+29*q^-1*x^7+44*x^7-128*q*x^7+20*q^2*x^7+13*q^3*x^7+q^4*x^7-q^5*x^7-5*q^-4*x^8-4*q^-3*x^8+19*q^-2*x^8+103*q^-1*x^8+119*x^8-267*q*x^8+46*q^2*x^8+46*q^3*x^8+10*q^4*x^8-6*q^5*x^8-6*q^6*x^8-2*q^7*x^8-10*q^-6*x^9-6*q^-5*x^9-47*q^-4*x^9-38*q^-3*x^9+54*q^-2*x^9+277*q^-1*x^9+261*x^9-534*q*x^9+70*q^2*x^9+121*q^3*x^9+44*q^4*x^9-10*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^9-12*q^-8*x^10-15*q^-7*x^10-41*q^-6*x^10-62*q^-5*x^10-236*q^-4*x^10-175*q^-3*x^10+118*q^-2*x^10+628*q^-1*x^10+485*x^10-1059*q*x^10+33*q^2*x^10+251*q^3*x^10+149*q^4*x^10+18*q^5*x^10-92*q^6*x^10-88*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 |
| 12n_90 | [-1, -2, -2, -1, -1, -1, 2, 3, -2, -2, -1, 3, 3] | [1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1] | -q^-2*x^3-3*q^-2*x^4+3*q^-3*x^5-6*q^-2*x^5+q^-1*x^5+q^-4*x^6+9*q^-3*x^6-9*q^-2*x^6+3*q^-1*x^6+3*x^6-q^-6*x^7-q^-5*x^7+q^-4*x^7+18*q^-3*x^7-15*q^-2*x^7+4*q^-1*x^7+9*x^7+5*q*x^7-q^-8*x^8-2*q^-7*x^8+q^-6*x^8-5*q^-5*x^8-2*q^-4*x^8+27*q^-3*x^8-25*q^-2*x^8-6*q^-1*x^8+10*x^8+15*q*x^8+7*q^2*x^8-3*q^3*x^8+q^-10*x^9-q^-9*x^9-2*q^-8*x^9-5*q^-7*x^9+6*q^-6*x^9-10*q^-5*x^9-7*q^-4*x^9+41*q^-3*x^9-36*q^-2*x^9-31*q^-1*x^9-12*x^9+15*q*x^9+23*q^2*x^9-8*q^4*x^9-6*q^5*x^9+2*q^-13*x^10+2*q^-12*x^10+q^-11*x^10+q^-10*x^10-8*q^-9*x^10-2*q^-8*x^10-10*q^-7*x^10+19*q^-6*x^10-14*q^-5*x^10-10*q^-4*x^10+70*q^-3*x^10-25*q^-2*x^10-52*q^-1*x^10-61*x^10-21*q*x^10+35*q^2*x^10+23*q^3*x^10-6*q^4*x^10-33*q^5*x^10-15*q^6*x^10-7*q^7*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12a_91 | [1, 2, 2, 1, 1, -2, -3, 4, -3, 4, 2, -3, 4, 4] | [-1, 1, 1, 1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1] | -q^2*x^3-7*q^2*x^4-3*q*x^5-28*q^2*x^5+q^3*x^5-5*x^6-21*q*x^6-87*q^2*x^6+7*q^3*x^6+q^4*x^6-5*q^-2*x^7-3*q^-1*x^7-36*x^7-93*q*x^7-228*q^2*x^7+28*q^3*x^7+8*q^4*x^7-2*q^5*x^7-q^6*x^7-12*q^-4*x^8-16*q^-3*x^8-17*q^-2*x^8-24*q^-1*x^8-171*x^8-315*q*x^8-526*q^2*x^8+92*q^3*x^8+36*q^4*x^8-12*q^5*x^8-12*q^6*x^8-5*q^7*x^8-2*q^8*x^8-7*q^-7*x^9-26*q^-6*x^9-47*q^-5*x^9-103*q^-4*x^9-26*q^-3*x^9-17*q^-2*x^9-147*q^-1*x^9-631*x^9-887*q*x^9-1086*q^2*x^9+277*q^3*x^9+124*q^4*x^9-50*q^5*x^9-66*q^6*x^9-45*q^7*x^9-19*q^8*x^9-8*q^9*x^9-3*q^10*x^9-q^11*x^9-16*q^-10*x^10-28*q^-9*x^10-74*q^-8*x^10-163*q^-7*x^10-277*q^-6*x^10-310*q^-5*x^10-207*q^-4*x^10+203*q^-3*x^10+18*q^-2*x^10-687*q^-1*x^10-1938*x^10-2165*q*x^10-1985*q^2*x^10+790*q^3*x^10+360*q^4*x^10-189*q^5*x^10-281*q^6*x^10-227*q^7*x^10-118*q^8*x^10-64*q^9*x^10-32*q^10*x^10-15*q^11*x^10-6*q^12*x^10-2*q^13*x^10-2*q^14*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_91 | [1, 2, 2, 1, 1, 1, -2, 3, 2, 2, 1, 3, 3] | [-1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] | -q^4*x^3+q^4*x^4-q^3*x^5-5*q^5*x^5+q*x^6+3*q^4*x^6+4*q^5*x^6+12*q^6*x^6+q^7*x^6-q^-2*x^7-3*q^2*x^7-3*q^3*x^7-4*q^4*x^7-5*q^5*x^7-20*q^6*x^7-26*q^7*x^7-8*q^8*x^7+q^-6*x^8+3*q^-1*x^8+3*x^8+3*q*x^8+4*q^2*x^8+5*q^3*x^8+11*q^4*x^8+20*q^5*x^8+22*q^6*x^8+51*q^7*x^8+77*q^8*x^8+42*q^9*x^8+8*q^10*x^8-q^-11*x^9-3*q^-5*x^9-3*q^-4*x^9-3*q^-3*x^9-3*q^-2*x^9-4*q^-1*x^9-5*x^9-11*q*x^9-14*q^2*x^9-26*q^3*x^9-24*q^4*x^9-36*q^5*x^9-57*q^6*x^9-87*q^7*x^9-126*q^8*x^9-208*q^9*x^9-167*q^10*x^9-76*q^11*x^9-15*q^12*x^9-q^13*x^9+q^-17*x^10+3*q^-10*x^10+3*q^-9*x^10+3*q^-8*x^10+3*q^-7*x^10+3*q^-6*x^10+4*q^-5*x^10+5*q^-4*x^10+11*q^-3*x^10+14*q^-2*x^10+20*q^-1*x^10+29*x^10+30*q*x^10+38*q^2*x^10+51*q^3*x^10+82*q^4*x^10+101*q^5*x^10+130*q^6*x^10+181*q^7*x^10+255*q^8*x^10+352*q^9*x^10+527*q^10*x^10+561*q^11*x^10+402*q^12*x^10+180*q^13*x^10+48*q^14*x^10+8*q^15*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12n_92 | [-1, 2, 2, -1, -1, -1, -2, 3, 2, 2, -1, 3, 3] | [-1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1] | -x^3-3*x^4+3*q^-1*x^5-6*x^5+3*q*x^5+3*q^-2*x^6+9*q^-1*x^6-11*x^6+9*q*x^6+3*q^2*x^6-q^-3*x^7+6*q^-2*x^7+15*q^-1*x^7-27*x^7+15*q*x^7+7*q^2*x^7-2*q^3*x^7-q^4*x^7-4*q^-5*x^8-q^-4*x^8-9*q^-3*x^8+8*q^-2*x^8+16*q^-1*x^8-60*x^8+15*q*x^8+12*q^2*x^8-10*q^3*x^8-5*q^4*x^8-5*q^5*x^8-q^6*x^8-5*q^-7*x^9-q^-6*x^9-9*q^-5*x^9-18*q^-3*x^9+21*q^-2*x^9+22*q^-1*x^9-103*x^9+18*q*x^9+33*q^2*x^9-14*q^3*x^9-8*q^4*x^9-12*q^5*x^9-3*q^7*x^9+q^8*x^9-q^-9*x^10-q^-8*x^10-14*q^-7*x^10+15*q^-6*x^10+17*q^-4*x^10-14*q^-3*x^10+68*q^-2*x^10+54*q^-1*x^10-147*x^10+42*q*x^10+94*q^2*x^10+7*q^3*x^10+6*q^4*x^10-12*q^5*x^10+19*q^6*x^10-2*q^7*x^10+7*q^8*x^10+4*q^9*x^10+3*q^10*x^10+2*q^11*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12a_92 | [1, 2, 2, 3, -4, 1, -4, 1, -2, -3, -3, -3, -3, -4] | [-1, 1, 1, 1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1, -1, -1, 1, -1, 1] | -q^-1*x^3-7*q^-1*x^4-q^-2*x^5-28*q^-1*x^5-4*x^5-q^-4*x^6-5*q^-3*x^6-6*q^-2*x^6-91*q^-1*x^6-27*x^6-12*q*x^6-q^2*x^6-3*q^-6*x^7-9*q^-5*x^7-18*q^-4*x^7-30*q^-3*x^7-38*q^-2*x^7-258*q^-1*x^7-126*x^7-81*q*x^7-37*q^2*x^7-15*q^3*x^7-3*q^4*x^7-3*q^-9*x^8-9*q^-8*x^8-24*q^-7*x^8-42*q^-6*x^8-79*q^-5*x^8-110*q^-4*x^8-151*q^-3*x^8-177*q^-2*x^8-700*q^-1*x^8-461*x^8-379*q*x^8-247*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-q^-13*x^9-8*q^-12*x^9-17*q^-11*x^9-37*q^-10*x^9-73*q^-9*x^9-123*q^-8*x^9-212*q^-7*x^9-301*q^-6*x^9-427*q^-5*x^9-536*q^-4*x^9-649*q^-3*x^9-749*q^-2*x^9-1878*q^-1*x^9-1540*x^9-1429*q*x^9-1152*q^2*x^9-969*q^3*x^9-678*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^9-3*q^-17*x^10-9*q^-16*x^10-27*q^-15*x^10-48*q^-14*x^10-94*q^-13*x^10-158*q^-12*x^10-266*q^-11*x^10-411*q^-10*x^10-640*q^-9*x^10-889*q^-8*x^10-1255*q^-7*x^10-1558*q^-6*x^10-1968*q^-5*x^10-2288*q^-4*x^10-2634*q^-3*x^10-2930*q^-2*x^10-5268*q^-1*x^10-4918*x^10-4937*q*x^10-4457*q^2*x^10-4228*q^3*x^10-3574*q^4*x^10-2988*q^5*x^10-2082*q^6*x^10-1443*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 |
| 12n_93 | [1, 4, 4, 2, -3, -2, -2, 1, 4, 3, 1, 3, 2, 2] | [-1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1] | -q^3*x^3-3*q^3*x^4-2*q^2*x^5-6*q^3*x^5-5*q*x^6-6*q^2*x^6-9*q^3*x^6+q^5*x^6-3*q^-1*x^7-10*x^7-15*q*x^7-9*q^2*x^7-12*q^3*x^7-2*q^4*x^7+3*q^5*x^7+2*q^6*x^7-7*q^-3*x^8-10*q^-2*x^8-26*q^-1*x^8-28*x^8-22*q*x^8-11*q^2*x^8-21*q^3*x^8-5*q^4*x^8+10*q^5*x^8+8*q^6*x^8-q^7*x^8-q^8*x^8-4*q^-6*x^9-14*q^-5*x^9-24*q^-4*x^9-42*q^-3*x^9-51*q^-2*x^9-58*q^-1*x^9-38*x^9-30*q*x^9-29*q^2*x^9-34*q^3*x^9+2*q^4*x^9+30*q^5*x^9+16*q^6*x^9-5*q^7*x^9-4*q^8*x^9-q^10*x^9-9*q^-9*x^10-14*q^-8*x^10-38*q^-7*x^10-60*q^-6*x^10-90*q^-5*x^10-95*q^-4*x^10-114*q^-3*x^10-95*q^-2*x^10-81*q^-1*x^10-65*x^10-74*q*x^10-55*q^2*x^10-21*q^3*x^10+44*q^4*x^10+64*q^5*x^10+18*q^6*x^10-18*q^7*x^10-8*q^8*x^10-2*q^9*x^10-6*q^10*x^10-2*q^11*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_97 | [-1, -3, 2, -1, -4, 3, -4, -3, 2, 4, 4, -3] | [-1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, -1] | -x^2-4*x^3-q^-1*x^4-10*x^4-q*x^4+q^3*x^4-2*q^-2*x^5-4*q^-1*x^5-20*x^5-4*q*x^5-4*q^2*x^5+4*q^3*x^5-q^-4*x^6-3*q^-3*x^6-8*q^-2*x^6-10*q^-1*x^6-36*x^6-14*q*x^6-15*q^2*x^6+4*q^3*x^6-2*q^5*x^6-q^9*x^6-2*q^-6*x^7-2*q^-5*x^7-8*q^-4*x^7-13*q^-3*x^7-21*q^-2*x^7-21*q^-1*x^7-66*x^7-37*q*x^7-43*q^2*x^7-5*q^3*x^7-14*q^4*x^7-10*q^5*x^7-6*q^6*x^7+2*q^7*x^7-4*q^9*x^7-q^-9*x^8-3*q^-8*x^8-4*q^-7*x^8-11*q^-6*x^8-15*q^-5*x^8-30*q^-4*x^8-37*q^-3*x^8-46*q^-2*x^8-49*q^-1*x^8-122*x^8-91*q*x^8-103*q^2*x^8-47*q^3*x^8-65*q^4*x^8-55*q^5*x^8-31*q^6*x^8-4*q^7*x^8-q^8*x^8-14*q^9*x^8-2*q^10*x^8+2*q^11*x^8+2*q^12*x^8+q^18*x^8-2*q^-12*x^9-2*q^-11*x^9-6*q^-10*x^9-10*q^-9*x^9-19*q^-8*x^9-24*q^-7*x^9-46*q^-6*x^9-57*q^-5*x^9-86*q^-4*x^9-88*q^-3*x^9-106*q^-2*x^9-118*q^-1*x^9-238*x^9-204*q*x^9-241*q^2*x^9-171*q^3*x^9-223*q^4*x^9-194*q^5*x^9-136*q^6*x^9-49*q^7*x^9-38*q^8*x^9-45*q^9*x^9-25*q^10*x^9+3*q^11*x^9+13*q^12*x^9+5*q^13*x^9-2*q^14*x^9-2*q^15*x^9+4*q^18*x^9-q^-16*x^10-3*q^-15*x^10-4*q^-14*x^10-7*q^-13*x^10-17*q^-12*x^10-21*q^-11*x^10-37*q^-10*x^10-52*q^-9*x^10-78*q^-8*x^10-99*q^-7*x^10-149*q^-6*x^10-174*q^-5*x^10-212*q^-4*x^10-216*q^-3*x^10-257*q^-2*x^10-296*q^-1*x^10-477*x^10-461*q*x^10-557*q^2*x^10-513*q^3*x^10-624*q^4*x^10-578*q^5*x^10-450*q^6*x^10-268*q^7*x^10-211*q^8*x^10-203*q^9*x^10-131*q^10*x^10-43*q^11*x^10+20*q^12*x^10+23*q^13*x^10-5*q^14*x^10-18*q^15*x^10-9*q^16*x^10+3*q^17*x^10+13*q^18*x^10+2*q^19*x^10-q^20*x^10-2*q^21*x^10-2*q^22*x^10-q^30*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12a_98 | [1, -2, -2, 3, 1, 1, -2, 3, -4, 3, -4, 3] | [-1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1] | -q*x^3-6*q*x^4-x^5-21*q*x^5+2*q^2*x^5-q^-1*x^6-6*x^6-56*q*x^6+12*q^2*x^6+2*q^3*x^6-2*q^-3*x^7-5*q^-1*x^7-21*x^7-124*q*x^7+43*q^2*x^7+11*q^3*x^7-2*q^4*x^7-4*q^-5*x^8-6*q^-4*x^8-8*q^-3*x^8+5*q^-2*x^8-15*q^-1*x^8-54*x^8-239*q*x^8+120*q^2*x^8+34*q^3*x^8-14*q^4*x^8-6*q^5*x^8-2*q^6*x^8-2*q^-8*x^9-6*q^-7*x^9-12*q^-6*x^9-33*q^-5*x^9-24*q^-4*x^9-4*q^-3*x^9+35*q^-2*x^9-34*q^-1*x^9-116*x^9-412*q*x^9+279*q^2*x^9+76*q^3*x^9-64*q^4*x^9-35*q^5*x^9-22*q^6*x^9+q^7*x^9-3*q^8*x^9-4*q^-11*x^10-4*q^-10*x^10-11*q^-9*x^10-28*q^-8*x^10-55*q^-7*x^10-85*q^-6*x^10-117*q^-5*x^10-13*q^-4*x^10+76*q^-3*x^10+131*q^-2*x^10-75*q^-1*x^10-226*x^10-661*q*x^10+563*q^2*x^10+114*q^3*x^10-219*q^4*x^10-138*q^5*x^10-88*q^6*x^10-8*q^7*x^10-14*q^8*x^10-4*q^9*x^10-2*q^10*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12n_98 | [1, 2, 2, -3, 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] | -q^2*x^3-5*q^2*x^4-q*x^5-15*q^2*x^5-5*q*x^6-35*q^2*x^6-3*q^4*x^6-q^-2*x^7+5*q^-1*x^7-15*q*x^7-70*q^2*x^7-q^3*x^7-14*q^4*x^7-5*q^5*x^7-q^6*x^7-2*q^-4*x^8-q^-3*x^8+13*q^-2*x^8+26*q^-1*x^8-35*q*x^8-124*q^2*x^8-7*q^3*x^8-46*q^4*x^8-24*q^5*x^8-10*q^6*x^8-2*q^7*x^8-2*q^8*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+80*q^-1*x^9-x^9-60*q*x^9-199*q^2*x^9-27*q^3*x^9-122*q^4*x^9-77*q^5*x^9-43*q^6*x^9-19*q^7*x^9-14*q^8*x^9-4*q^9*x^9-3*q^10*x^9-q^11*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+225*q^-3*x^10+258*q^-2*x^10+185*q^-1*x^10+23*x^10-59*q*x^10-279*q^2*x^10-71*q^3*x^10-279*q^4*x^10-199*q^5*x^10-131*q^6*x^10-84*q^7*x^10-67*q^8*x^10-29*q^9*x^10-24*q^10*x^10-11*q^11*x^10-6*q^12*x^10-2*q^13*x^10-2*q^14*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12a_99 | [1, -2, -2, 3, -4, 1, 1, -2, 3, -4, -4, 3] | [-1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1] | -x^3-6*x^4+q^-1*x^5-21*x^5+2*q*x^5+3*q^-2*x^6+6*q^-1*x^6-56*x^6+12*q*x^6+6*q^2*x^6-q^-4*x^7+5*q^-3*x^7+19*q^-2*x^7+21*q^-1*x^7-128*x^7+45*q*x^7+35*q^2*x^7+10*q^3*x^7-2*q^-6*x^8-6*q^-5*x^8+4*q^-4*x^8+33*q^-3*x^8+69*q^-2*x^8+50*q^-1*x^8-263*x^8+124*q*x^8+128*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^9-11*q^-7*x^9-21*q^-6*x^9-15*q^-5*x^9+43*q^-4*x^9+124*q^-3*x^9+182*q^-2*x^9+83*q^-1*x^9-522*x^9+282*q*x^9+350*q^2*x^9+184*q^3*x^9+63*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^10-5*q^-10*x^10-18*q^-9*x^10-35*q^-8*x^10-75*q^-7*x^10-56*q^-6*x^10+4*q^-5*x^10+190*q^-4*x^10+343*q^-3*x^10+370*q^-2*x^10+38*q^-1*x^10-1046*x^10+517*q*x^10+794*q^2*x^10+463*q^3*x^10+178*q^4*x^10-80*q^5*x^10-86*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_101 | [1, 2, 2, -3, -4, 1, -4, 1, -3, -2, -2, 3, -4, 3, -2, 4] | [-1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1] | -x^2-11*x^3-q^-2*x^4-18*q^-1*x^4-65*x^4-14*q*x^4-5*q^-4*x^5-19*q^-3*x^5-88*q^-2*x^5-184*q^-1*x^5-345*x^5-144*q*x^5-59*q^2*x^5-5*q^3*x^5-q^-8*x^6-10*q^-7*x^6-34*q^-6*x^6-96*q^-5*x^6-237*q^-4*x^6-499*q^-3*x^6-973*q^-2*x^6-1434*q^-1*x^6-1849*x^6-1153*q*x^6-660*q^2*x^6-278*q^3*x^6-96*q^4*x^6-19*q^5*x^6-5*q^-12*x^7-15*q^-11*x^7-60*q^-10*x^7-138*q^-9*x^7-319*q^-8*x^7-629*q^-7*x^7-1255*q^-6*x^7-2129*q^-5*x^7-3681*q^-4*x^7-5659*q^-3*x^7-8204*q^-2*x^7-9966*q^-1*x^7-10849*x^7-8203*q*x^7-5747*q^2*x^7-3391*q^3*x^7-1884*q^4*x^7-828*q^5*x^7-368*q^6*x^7-93*q^7*x^7-23*q^8*x^7-q^-18*x^8-10*q^-17*x^8-30*q^-16*x^8-89*q^-15*x^8-213*q^-14*x^8-456*q^-13*x^8-903*q^-12*x^8-1671*q^-11*x^8-2954*q^-10*x^8-4989*q^-9*x^8-8157*q^-8*x^8-12638*q^-7*x^8-19220*q^-6*x^8-27532*q^-5*x^8-38538*q^-4*x^8-50362*q^-3*x^8-61856*q^-2*x^8-68146*q^-1*x^8-68375*x^8-57472*q*x^8-44825*q^2*x^8-31778*q^3*x^8-21297*q^4*x^8-12967*q^5*x^8-7460*q^6*x^8-3748*q^7*x^8-1786*q^8*x^8-721*q^9*x^8-246*q^10*x^8-79*q^11*x^8-9*q^12*x^8-5*q^-24*x^9-15*q^-23*x^9-56*q^-22*x^9-134*q^-21*x^9-323*q^-20*x^9-653*q^-19*x^9-1304*q^-18*x^9-2351*q^-17*x^9-4166*q^-16*x^9-6962*q^-15*x^9-11438*q^-14*x^9-17952*q^-13*x^9-27818*q^-12*x^9-41435*q^-11*x^9-60829*q^-10*x^9-86485*q^-9*x^9-120759*q^-8*x^9-163023*q^-7*x^9-216023*q^-6*x^9-275306*q^-5*x^9-341402*q^-4*x^9-402154*q^-3*x^9-450598*q^-2*x^9-469131*q^-1*x^9-456801*x^9-404296*q*x^9-338165*q^2*x^9-265471*q^3*x^9-199717*q^4*x^9-141560*q^5*x^9-96324*q^6*x^9-60902*q^7*x^9-37023*q^8*x^9-20821*q^9*x^9-11209*q^10*x^9-5518*q^11*x^9-2641*q^12*x^9-1058*q^13*x^9-427*q^14*x^9-118*q^15*x^9-31*q^16*x^9-q^-32*x^10-10*q^-31*x^10-30*q^-30*x^10-85*q^-29*x^10-209*q^-28*x^10-473*q^-27*x^10-948*q^-26*x^10-1836*q^-25*x^10-3343*q^-24*x^10-5821*q^-23*x^10-9813*q^-22*x^10-16000*q^-21*x^10-25397*q^-20*x^10-39299*q^-19*x^10-59611*q^-18*x^10-88287*q^-17*x^10-128639*q^-16*x^10-183660*q^-15*x^10-257956*q^-14*x^10-355542*q^-13*x^10-483066*q^-12*x^10-643335*q^-11*x^10-844163*q^-10*x^10-1086018*q^-9*x^10-1373130*q^-8*x^10-1697787*q^-7*x^10-2057672*q^-6*x^10-2425178*q^-5*x^10-2780872*q^-4*x^10-3070967*q^-3*x^10-3258672*q^-2*x^10-3292259*q^-1*x^10-3171164*x^10-2889847*q*x^10-2524388*q^2*x^10-2113395*q^3*x^10-1708746*q^4*x^10-1329020*q^5*x^10-999305*q^6*x^10-720072*q^7*x^10-500937*q^8*x^10-334047*q^9*x^10-215003*q^10*x^10-132663*q^11*x^10-79251*q^12*x^10-44976*q^13*x^10-24662*q^14*x^10-12848*q^15*x^10-6292*q^16*x^10-2869*q^17*x^10-1224*q^18*x^10-465*q^19*x^10-134*q^20*x^10-35*q^21*x^10 | 10 | 16 | 16 | Yes | 12 |
| 12a_101 | [1, 2, 2, 1, 1, -2, -3, 4, -3, 2, -3, -3, 4, -3] | [-1, 1, 1, 1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1] | -x^3-6*x^4+5*q^-1*x^5-21*x^5-q*x^5+11*q^-2*x^6+30*q^-1*x^6-52*x^6-6*q*x^6-2*q^2*x^6+q^-4*x^7+9*q^-3*x^7+55*q^-2*x^7+117*q^-1*x^7-97*x^7-13*q*x^7-11*q^2*x^7-4*q^3*x^7-2*q^4*x^7+2*q^-6*x^8-14*q^-5*x^8+15*q^-3*x^8+172*q^-2*x^8+341*q^-1*x^8-118*x^8+2*q*x^8-18*q^2*x^8-16*q^3*x^8-18*q^4*x^8-6*q^5*x^8-4*q^6*x^8+q^-9*x^9+2*q^-8*x^9-27*q^-7*x^9-34*q^-6*x^9-104*q^-5*x^9-90*q^-4*x^9-76*q^-3*x^9+355*q^-2*x^9+805*q^-1*x^9-40*x^9+130*q*x^9+45*q^2*x^9+9*q^3*x^9-51*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+2*q^-12*x^10-q^-10*x^10-24*q^-9*x^10-55*q^-8*x^10-218*q^-7*x^10-228*q^-6*x^10-509*q^-5*x^10-564*q^-4*x^10-646*q^-3*x^10+378*q^-2*x^10+1469*q^-1*x^10+181*x^10+495*q*x^10+371*q^2*x^10+274*q^3*x^10+44*q^4*x^10-50*q^5*x^10-114*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 |
| 12n_102 | [1, -4, 3, 4, 4, 3, 2, 2, -3, 4, -3, 2, 1, 1, -2, -2] | [-1, 1, 1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1] | -q^2*x^2-3*q^2*x^3-4*q*x^4-6*q^2*x^4+2*q^3*x^4-11*x^5-13*q*x^5-4*q^2*x^5+7*q^3*x^5-2*q^4*x^5-9*q^-2*x^6-27*q^-1*x^6-37*x^6-12*q*x^6+15*q^2*x^6+15*q^3*x^6-9*q^4*x^6-2*q^5*x^6+q^6*x^6-23*q^-4*x^7-41*q^-3*x^7-86*q^-2*x^7-81*q^-1*x^7-28*x^7+44*q*x^7+59*q^2*x^7+6*q^3*x^7-39*q^4*x^7-7*q^5*x^7+9*q^6*x^7+3*q^7*x^7-16*q^-7*x^8-58*q^-6*x^8-114*q^-5*x^8-190*q^-4*x^8-214*q^-3*x^8-170*q^-2*x^8+4*q^-1*x^8+155*x^8+174*q*x^8+57*q^2*x^8-96*q^3*x^8-119*q^4*x^8+2*q^5*x^8+52*q^6*x^8+22*q^7*x^8-6*q^8*x^8-6*q^9*x^8-q^10*x^8-39*q^-10*x^9-81*q^-9*x^9-206*q^-8*x^9-347*q^-7*x^9-506*q^-6*x^9-540*q^-5*x^9-467*q^-4*x^9-150*q^-3*x^9+253*q^-2*x^9+558*q^-1*x^9+494*x^9+101*q*x^9-284*q^2*x^9-425*q^3*x^9-205*q^4*x^9+153*q^5*x^9+218*q^6*x^9+78*q^7*x^9-40*q^8*x^9-46*q^9*x^9-13*q^10*x^9-q^11*x^9+3*q^12*x^9-25*q^-14*x^10-99*q^-13*x^10-221*q^-12*x^10-442*q^-11*x^10-781*q^-10*x^10-1104*q^-9*x^10-1411*q^-8*x^10-1423*q^-7*x^10-1090*q^-6*x^10-349*q^-5*x^10+563*q^-4*x^10+1419*q^-3*x^10+1659*q^-2*x^10+1089*q^-1*x^10-93*x^10-1164*q*x^10-1382*q^2*x^10-785*q^3*x^10+224*q^4*x^10+899*q^5*x^10+704*q^6*x^10+111*q^7*x^10-271*q^8*x^10-254*q^9*x^10-85*q^10*x^10+12*q^11*x^10+30*q^12*x^10+16*q^13*x^10+5*q^14*x^10 | 10 | 16 | 16 | Yes | 12 |
| 12n_103 | [1, 2, 2, 2, 2, 3, 1, 3, 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^3*x^3-3*q^3*x^4-2*q^2*x^5-6*q^3*x^5+2*q^4*x^5-5*q*x^6-6*q^2*x^6-8*q^3*x^6+6*q^4*x^6-q^5*x^6-3*q^-1*x^7-10*x^7-15*q*x^7-7*q^2*x^7-5*q^3*x^7+11*q^4*x^7-4*q^5*x^7-2*q^6*x^7-7*q^-3*x^8-10*q^-2*x^8-26*q^-1*x^8-27*x^8-17*q*x^8+6*q^2*x^8+q^3*x^8+11*q^4*x^8-13*q^5*x^8-5*q^6*x^8+q^7*x^8+q^8*x^8-4*q^-6*x^9-14*q^-5*x^9-24*q^-4*x^9-42*q^-3*x^9-49*q^-2*x^9-52*q^-1*x^9-18*x^9+11*q*x^9+25*q^2*x^9-7*q^3*x^9-6*q^4*x^9-30*q^5*x^9-7*q^6*x^9+7*q^7*x^9+3*q^8*x^9+q^9*x^9-9*q^-9*x^10-14*q^-8*x^10-38*q^-7*x^10-60*q^-6*x^10-89*q^-5*x^10-90*q^-4*x^10-100*q^-3*x^10-56*q^-2*x^10-14*q^-1*x^10+44*x^10+39*q*x^10+2*q^2*x^10-61*q^3*x^10-46*q^4*x^10-45*q^5*x^10+6*q^6*x^10+22*q^7*x^10+9*q^8*x^10+3*q^9*x^10-2*q^10*x^10-2*q^11*x^10-q^12*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12n_104 | [-1, -1, -1, -2, -2, -1, 2, 3, -2, -2, -1, 3, 3] | [-1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1] | -q^-2*x^3-3*q^-2*x^4+3*q^-3*x^5-6*q^-2*x^5+q^-1*x^5+2*q^-4*x^6+9*q^-3*x^6-9*q^-2*x^6+3*q^-1*x^6+3*x^6-q^-6*x^7-q^-5*x^7+4*q^-4*x^7+19*q^-3*x^7-15*q^-2*x^7+5*q^-1*x^7+9*x^7+5*q*x^7-q^-8*x^8-4*q^-7*x^8-3*q^-6*x^8-6*q^-5*x^8+5*q^-4*x^8+29*q^-3*x^8-26*q^-2*x^8-3*q^-1*x^8+13*x^8+15*q*x^8+7*q^2*x^8-3*q^3*x^8+q^-10*x^9-2*q^-9*x^9-3*q^-8*x^9-14*q^-7*x^9-8*q^-6*x^9-16*q^-5*x^9+4*q^-4*x^9+41*q^-3*x^9-46*q^-2*x^9-30*q^-1*x^9-3*x^9+20*q*x^9+22*q^2*x^9-8*q^4*x^9-6*q^5*x^9+2*q^-13*x^10+3*q^-12*x^10+4*q^-11*x^10+5*q^-10*x^10-5*q^-9*x^10-4*q^-8*x^10-30*q^-7*x^10-12*q^-6*x^10-26*q^-5*x^10+11*q^-4*x^10+65*q^-3*x^10-65*q^-2*x^10-75*q^-1*x^10-54*x^10-5*q*x^10+39*q^2*x^10+17*q^3*x^10-9*q^4*x^10-33*q^5*x^10-15*q^6*x^10-7*q^7*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12n_105 | [1, 1, 1, 2, 2, 1, -2, 3, 2, 2, 1, 3, 3] | [-1, 1, -1, 1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] | -q^4*x^3+q^4*x^4-q^3*x^5-3*q^5*x^5+q*x^6+2*q^4*x^6+2*q^5*x^6+6*q^6*x^6+q^7*x^6-q^-2*x^7-2*q^2*x^7-2*q^3*x^7-2*q^4*x^7-2*q^5*x^7-8*q^6*x^7-11*q^7*x^7-5*q^8*x^7+q^-6*x^8+2*q^-1*x^8+2*x^8+2*q*x^8+2*q^2*x^8+2*q^3*x^8+5*q^4*x^8+8*q^5*x^8+8*q^6*x^8+16*q^7*x^8+27*q^8*x^8+17*q^9*x^8+5*q^10*x^8-q^-11*x^9-2*q^-5*x^9-2*q^-4*x^9-2*q^-3*x^9-2*q^-2*x^9-2*q^-1*x^9-2*x^9-5*q*x^9-6*q^2*x^9-11*q^3*x^9-9*q^4*x^9-12*q^5*x^9-18*q^6*x^9-24*q^7*x^9-32*q^8*x^9-58*q^9*x^9-50*q^10*x^9-30*q^11*x^9-7*q^12*x^9-q^13*x^9+q^-17*x^10+2*q^-10*x^10+2*q^-9*x^10+2*q^-8*x^10+2*q^-7*x^10+2*q^-6*x^10+2*q^-5*x^10+2*q^-4*x^10+5*q^-3*x^10+6*q^-2*x^10+9*q^-1*x^10+12*x^10+12*q*x^10+13*q^2*x^10+16*q^3*x^10+26*q^4*x^10+29*q^5*x^10+34*q^6*x^10+47*q^7*x^10+58*q^8*x^10+74*q^9*x^10+116*q^10*x^10+133*q^11*x^10+108*q^12*x^10+59*q^13*x^10+19*q^14*x^10+5*q^15*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12a_105 | [1, 2, 2, 1, 1, -2, -3, 4, 2, 4, -3, 4, 4, 4] | [1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1] | -q^3*x^3-6*q^3*x^4-6*q^2*x^5-21*q^3*x^5+2*q^4*x^5-20*q*x^6-36*q^2*x^6-56*q^3*x^6+12*q^4*x^6+q^5*x^6-15*q^-1*x^7-60*x^7-126*q*x^7-126*q^2*x^7-114*q^3*x^7+43*q^4*x^7+6*q^5*x^7-2*q^6*x^7-q^7*x^7-42*q^-3*x^8-90*q^-2*x^8-252*q^-1*x^8-390*x^8-456*q*x^8-296*q^2*x^8-174*q^3*x^8+127*q^4*x^8+15*q^5*x^8-12*q^6*x^8-7*q^7*x^8-5*q^8*x^8-2*q^9*x^8-28*q^-6*x^9-119*q^-5*x^9-279*q^-4*x^9-604*q^-3*x^9-958*q^-2*x^9-1386*q^-1*x^9-1411*x^9-1120*q*x^9-477*q^2*x^9-142*q^3*x^9+306*q^4*x^9+11*q^5*x^9-59*q^6*x^9-32*q^7*x^9-34*q^8*x^9-17*q^9*x^9-8*q^10*x^9-3*q^11*x^9-q^12*x^9-72*q^-9*x^10-168*q^-8*x^10-492*q^-7*x^10-1014*q^-6*x^10-1890*q^-5*x^10-2820*q^-4*x^10-4008*q^-3*x^10-4578*q^-2*x^10-4642*q^-1*x^10-3436*x^10-1923*q*x^10-342*q^2*x^10+132*q^3*x^10+571*q^4*x^10-117*q^5*x^10-241*q^6*x^10-153*q^7*x^10-147*q^8*x^10-94*q^9*x^10-64*q^10*x^10-31*q^11*x^10-14*q^12*x^10-6*q^13*x^10-2*q^14*x^10-2*q^15*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_106 | [-1, -1, -1, 2, 2, -1, -2, 3, 2, 2, -1, 3, 3] | [-1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1] | -x^3-3*x^4+q^-1*x^5-6*x^5+3*q*x^5+3*q^-1*x^6-9*x^6+9*q*x^6+3*q^2*x^6+7*q^-1*x^7-15*x^7+19*q*x^7+7*q^2*x^7-2*q^3*x^7-q^4*x^7+3*q^-4*x^8+q^-2*x^8+12*q^-1*x^8-23*x^8+28*q*x^8+10*q^2*x^8-11*q^3*x^8-5*q^4*x^8-5*q^5*x^8-q^6*x^8+5*q^-5*x^9+9*q^-4*x^9-q^-3*x^9+2*q^-2*x^9+18*q^-1*x^9-36*x^9+36*q*x^9+10*q^2*x^9-30*q^3*x^9-16*q^4*x^9-13*q^5*x^9-3*q^7*x^9+q^8*x^9-3*q^-7*x^10+7*q^-6*x^10+15*q^-5*x^10+13*q^-4*x^10-14*q^-3*x^10-q^-2*x^10+22*q^-1*x^10-55*x^10+40*q*x^10+9*q^2*x^10-59*q^3*x^10-28*q^4*x^10-18*q^5*x^10+15*q^6*x^10-q^7*x^10+7*q^8*x^10+4*q^9*x^10+3*q^10*x^10+2*q^11*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12n_107 | [-1, 2, 2, 3, 3, -2, -1, 2, 2, 2, 2, 2, 3] | [-1, -1, 1, 1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, -1, -1] | -q^3*x^3-3*q^3*x^4-2*q^2*x^5-6*q^3*x^5+2*q^4*x^5-5*q*x^6-6*q^2*x^6-8*q^3*x^6+6*q^4*x^6+q^5*x^6-3*q^-1*x^7-10*x^7-15*q*x^7-7*q^2*x^7-5*q^3*x^7+13*q^4*x^7+2*q^5*x^7-7*q^-3*x^8-10*q^-2*x^8-26*q^-1*x^8-27*x^8-17*q*x^8+6*q^2*x^8+6*q^3*x^8+21*q^4*x^8+2*q^5*x^8-q^6*x^8-q^7*x^8-q^8*x^8-4*q^-6*x^9-14*q^-5*x^9-24*q^-4*x^9-42*q^-3*x^9-49*q^-2*x^9-52*q^-1*x^9-18*x^9+14*q*x^9+38*q^2*x^9+19*q^3*x^9+26*q^4*x^9-2*q^5*x^9-6*q^6*x^9-4*q^7*x^9-5*q^8*x^9-q^10*x^9-9*q^-9*x^10-14*q^-8*x^10-38*q^-7*x^10-60*q^-6*x^10-89*q^-5*x^10-90*q^-4*x^10-100*q^-3*x^10-56*q^-2*x^10-7*q^-1*x^10+61*x^10+81*q*x^10+69*q^2*x^10+20*q^3*x^10+17*q^4*x^10-17*q^5*x^10-19*q^6*x^10-15*q^7*x^10-11*q^8*x^10+q^9*x^10-2*q^10*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12a_108 | [1, 2, 2, 1, 1, -2, -3, 4, 2, -3, -3, 4, -3, 4] | [-1, 1, 1, 1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1] | -q*x^3-7*q*x^4-2*x^5-28*q*x^5-7*q^-1*x^6-14*x^6-89*q*x^6+q^3*x^6-5*q^-3*x^7-21*q^-2*x^7-47*q^-1*x^7-70*x^7-245*q*x^7-7*q^2*x^7+8*q^3*x^7+2*q^4*x^7-q^5*x^7-12*q^-5*x^8-21*q^-4*x^8-86*q^-3*x^8-148*q^-2*x^8-224*q^-1*x^8-268*x^8-624*q*x^8-45*q^2*x^8+27*q^3*x^8+16*q^4*x^8-3*q^5*x^8-4*q^6*x^8-2*q^7*x^8-7*q^-8*x^9-26*q^-7*x^9-52*q^-6*x^9-139*q^-5*x^9-281*q^-4*x^9-543*q^-3*x^9-707*q^-2*x^9-843*q^-1*x^9-893*x^9-1503*q*x^9-198*q^2*x^9+67*q^3*x^9+64*q^4*x^9+q^5*x^9-24*q^6*x^9-20*q^7*x^9-8*q^8*x^9-3*q^9*x^9-q^10*x^9-16*q^-11*x^10-28*q^-10*x^10-80*q^-9*x^10-165*q^-8*x^10-345*q^-7*x^10-552*q^-6*x^10-1119*q^-5*x^10-1738*q^-4*x^10-2478*q^-3*x^10-2684*q^-2*x^10-2793*q^-1*x^10-2667*x^10-3514*q*x^10-685*q^2*x^10+107*q^3*x^10+197*q^4*x^10+22*q^5*x^10-85*q^6*x^10-102*q^7*x^10-70*q^8*x^10-36*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 |
| 12a_111 | [1, 2, 2, 1, 1, -2, -3, 4, 2, -3, 4, -3, 4, 4] | [-1, 1, 1, 1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1] | -q^2*x^3-7*q^2*x^4-3*q*x^5-28*q^2*x^5+q^3*x^5-5*x^6-21*q*x^6-87*q^2*x^6+7*q^3*x^6+q^4*x^6-5*q^-2*x^7-3*q^-1*x^7-36*x^7-93*q*x^7-228*q^2*x^7+28*q^3*x^7+8*q^4*x^7-2*q^5*x^7-q^6*x^7-12*q^-4*x^8-16*q^-3*x^8-17*q^-2*x^8-24*q^-1*x^8-171*x^8-315*q*x^8-526*q^2*x^8+92*q^3*x^8+36*q^4*x^8-12*q^5*x^8-12*q^6*x^8-5*q^7*x^8-2*q^8*x^8-7*q^-7*x^9-26*q^-6*x^9-47*q^-5*x^9-103*q^-4*x^9-26*q^-3*x^9-17*q^-2*x^9-147*q^-1*x^9-631*x^9-887*q*x^9-1086*q^2*x^9+277*q^3*x^9+124*q^4*x^9-50*q^5*x^9-66*q^6*x^9-45*q^7*x^9-19*q^8*x^9-8*q^9*x^9-3*q^10*x^9-q^11*x^9-16*q^-10*x^10-28*q^-9*x^10-74*q^-8*x^10-163*q^-7*x^10-277*q^-6*x^10-310*q^-5*x^10-207*q^-4*x^10+203*q^-3*x^10+18*q^-2*x^10-687*q^-1*x^10-1938*x^10-2165*q*x^10-1985*q^2*x^10+790*q^3*x^10+360*q^4*x^10-189*q^5*x^10-281*q^6*x^10-227*q^7*x^10-118*q^8*x^10-64*q^9*x^10-32*q^10*x^10-15*q^11*x^10-6*q^12*x^10-2*q^13*x^10-2*q^14*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12a_112 | [1, -2, -2, 3, -4, 1, 1, -2, 3, -4, -4, -4] | [-1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1] | -q^-1*x^3-6*q^-1*x^4+q^-2*x^5-21*q^-1*x^5-2*x^5+q^-3*x^6+6*q^-2*x^6-58*q^-1*x^6-12*x^6-6*q*x^6-q^-5*x^7+q^-4*x^7+7*q^-3*x^7+19*q^-2*x^7-136*q^-1*x^7-47*x^7-34*q*x^7-16*q^2*x^7-5*q^3*x^7-2*q^-7*x^8-4*q^-6*x^8+7*q^-4*x^8+25*q^-3*x^8+50*q^-2*x^8-287*q^-1*x^8-136*x^8-128*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^9-8*q^-8*x^9-16*q^-7*x^9-11*q^-6*x^9+13*q^-5*x^9+29*q^-4*x^9+74*q^-3*x^9+115*q^-2*x^9-549*q^-1*x^9-335*x^9-361*q*x^9-326*q^2*x^9-306*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^10-5*q^-11*x^10-16*q^-10*x^10-33*q^-9*x^10-59*q^-8*x^10-50*q^-7*x^10-10*q^-6*x^10+69*q^-5*x^10+103*q^-4*x^10+194*q^-3*x^10+256*q^-2*x^10-972*q^-1*x^10-707*x^10-861*q*x^10-891*q^2*x^10-1016*q^3*x^10-892*q^4*x^10-760*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_113 | [-1, -2, -2, -2, -2, -2, 1, -2, -1, 2, -1, 2] | [-1, -1, -1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1] | -q^-2*x^3-2*q^-2*x^4+q^-3*x^5-3*q^-2*x^5+2*q^-1*x^5+q*x^5+2*q^-3*x^6-4*q^-2*x^6+4*q^-1*x^6+x^6+2*q*x^6+2*q^2*x^6+3*q^-3*x^7-7*q^-2*x^7+6*q^-1*x^7+q*x^7+4*q^2*x^7+q^3*x^7-2*q^4*x^7-q^7*x^7+q^-6*x^8+4*q^-3*x^8-10*q^-2*x^8+7*q^-1*x^8-x^8-3*q*x^8+5*q^2*x^8+q^3*x^8-4*q^4*x^8-5*q^5*x^8-q^6*x^8-2*q^7*x^8-2*q^8*x^8-2*q^9*x^8+2*q^-6*x^9-q^-5*x^9+5*q^-3*x^9-13*q^-2*x^9+9*q^-1*x^9-7*q*x^9+6*q^2*x^9+4*q^3*x^9-3*q^4*x^9-11*q^5*x^9-5*q^6*x^9-2*q^7*x^9-2*q^8*x^9-7*q^9*x^9-2*q^10*x^9-q^11*x^9+2*q^12*x^9+q^16*x^9-q^-9*x^10+3*q^-6*x^10-4*q^-5*x^10-q^-4*x^10+5*q^-3*x^10-17*q^-2*x^10+11*q^-1*x^10+2*x^10-10*q*x^10+8*q^2*x^10+8*q^3*x^10+5*q^4*x^10-13*q^5*x^10-8*q^6*x^10-2*q^7*x^10+6*q^8*x^10-5*q^9*x^10-6*q^10*x^10-3*q^11*x^10+6*q^12*x^10+5*q^13*x^10+5*q^14*x^10+q^15*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_113 | [1, -2, -2, 3, 1, 3, 4, 1, 2, -3, 2, 4, -3, -2] | [-1, 1, -1, 1, -1, 1, 1, -1, 1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, 1] | -q*x^3-6*q*x^4+2*x^5-21*q*x^5+q^2*x^5+6*q^-1*x^6+12*x^6-56*q*x^6+6*q^2*x^6+2*q^3*x^6+8*q^-2*x^7+35*q^-1*x^7+44*x^7-128*q*x^7+21*q^2*x^7+13*q^3*x^7+q^4*x^7-q^5*x^7-6*q^-4*x^8+4*q^-3*x^8+42*q^-2*x^8+125*q^-1*x^8+118*x^8-266*q*x^8+52*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^8-12*q^-6*x^9-13*q^-5*x^9-45*q^-4*x^9+4*q^-3*x^9+136*q^-2*x^9+335*q^-1*x^9+253*x^9-532*q*x^9+94*q^2*x^9+133*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^9-14*q^-8*x^10-22*q^-7*x^10-76*q^-6*x^10-108*q^-5*x^10-230*q^-4*x^10-36*q^-3*x^10+334*q^-2*x^10+743*q^-1*x^10+436*x^10-1066*q*x^10+103*q^2*x^10+298*q^3*x^10+154*q^4*x^10+10*q^5*x^10-96*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 |
| 12n_114 | [1, 1, 1, 1, -2, 1, 1, 2, 2, 2, 1, -2] | [1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1] | -q^3*x^3-q*x^4-3*q^3*x^4-q^-3*x^5-3*x^5-3*q*x^5+q^2*x^5-6*q^3*x^5+q^4*x^5-q^-9*x^6-3*q^-5*x^6-3*q^-4*x^6-3*q^-3*x^6+q^-2*x^6-5*q^-1*x^6-9*x^6-4*q*x^6+4*q^2*x^6-11*q^3*x^6+3*q^4*x^6-q^-17*x^7-3*q^-12*x^7-3*q^-11*x^7-3*q^-10*x^7-3*q^-9*x^7+q^-8*x^7-5*q^-7*x^7-8*q^-6*x^7-15*q^-5*x^7-7*q^-4*x^7-q^-3*x^7-3*q^-2*x^7-16*q^-1*x^7-17*x^7-q*x^7+8*q^2*x^7-19*q^3*x^7+5*q^4*x^7-q^-27*x^8-3*q^-21*x^8-3*q^-20*x^8-3*q^-19*x^8-3*q^-18*x^8-3*q^-17*x^8+q^-16*x^8-5*q^-15*x^8-8*q^-14*x^8-14*q^-13*x^8-18*q^-12*x^8-13*q^-11*x^8-4*q^-10*x^8-8*q^-9*x^8-8*q^-8*x^8-31*q^-7*x^8-33*q^-6*x^8-29*q^-5*x^8+2*q^-4*x^8-2*q^-3*x^8-18*q^-2*x^8-35*q^-1*x^8-23*x^8+5*q*x^8+12*q^2*x^8-31*q^3*x^8+8*q^4*x^8-q^5*x^8+q^7*x^8-q^-39*x^9-3*q^-32*x^9-3*q^-31*x^9-3*q^-30*x^9-3*q^-29*x^9-3*q^-28*x^9-3*q^-27*x^9+q^-26*x^9-5*q^-25*x^9-8*q^-24*x^9-14*q^-23*x^9-17*q^-22*x^9-24*q^-21*x^9-16*q^-20*x^9-10*q^-19*x^9-11*q^-18*x^9-13*q^-17*x^9-23*q^-16*x^9-47*q^-15*x^9-56*q^-14*x^9-53*q^-13*x^9-37*q^-12*x^9-16*q^-11*x^9-5*q^-10*x^9-40*q^-9*x^9-58*q^-8*x^9-94*q^-7*x^9-58*q^-6*x^9-19*q^-5*x^9+13*q^-4*x^9-18*q^-3*x^9-53*q^-2*x^9-58*q^-1*x^9-27*x^9+14*q*x^9+15*q^2*x^9-46*q^3*x^9+12*q^4*x^9-q^5*x^9-q^6*x^9+3*q^7*x^9-q^-53*x^10-3*q^-45*x^10-3*q^-44*x^10-3*q^-43*x^10-3*q^-42*x^10-3*q^-41*x^10-3*q^-40*x^10-3*q^-39*x^10+q^-38*x^10-5*q^-37*x^10-8*q^-36*x^10-14*q^-35*x^10-17*q^-34*x^10-23*q^-33*x^10-27*q^-32*x^10-22*q^-31*x^10-13*q^-30*x^10-17*q^-29*x^10-16*q^-28*x^10-28*q^-27*x^10-39*q^-26*x^10-70*q^-25*x^10-80*q^-24*x^10-87*q^-23*x^10-69*q^-22*x^10-63*q^-21*x^10-30*q^-20*x^10-35*q^-19*x^10-67*q^-18*x^10-110*q^-17*x^10-147*q^-16*x^10-174*q^-15*x^10-131*q^-14*x^10-81*q^-13*x^10-27*q^-12*x^10-25*q^-11*x^10-62*q^-10*x^10-163*q^-9*x^10-175*q^-8*x^10-166*q^-7*x^10-41*q^-6*x^10+5*q^-5*x^10+6*q^-4*x^10-68*q^-3*x^10-104*q^-2*x^10-82*q^-1*x^10-28*x^10+26*q*x^10+18*q^2*x^10-63*q^3*x^10+21*q^4*x^10-3*q^5*x^10-3*q^6*x^10+6*q^7*x^10-q^10*x^10 | 10 | 12 | 12 | Yes | 12 |
| 12a_115 | [1, 2, 2, 1, 1, -2, -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, 1, 1, -1, 1] | -x^3-6*x^4+5*q^-1*x^5-21*x^5-q*x^5+11*q^-2*x^6+30*q^-1*x^6-52*x^6-6*q*x^6-2*q^2*x^6+q^-4*x^7+9*q^-3*x^7+55*q^-2*x^7+117*q^-1*x^7-97*x^7-13*q*x^7-11*q^2*x^7-4*q^3*x^7-2*q^4*x^7+2*q^-6*x^8-14*q^-5*x^8+15*q^-3*x^8+172*q^-2*x^8+341*q^-1*x^8-118*x^8+2*q*x^8-18*q^2*x^8-16*q^3*x^8-18*q^4*x^8-6*q^5*x^8-4*q^6*x^8+q^-9*x^9+2*q^-8*x^9-27*q^-7*x^9-34*q^-6*x^9-104*q^-5*x^9-90*q^-4*x^9-76*q^-3*x^9+355*q^-2*x^9+805*q^-1*x^9-40*x^9+130*q*x^9+45*q^2*x^9+9*q^3*x^9-51*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+2*q^-12*x^10-q^-10*x^10-24*q^-9*x^10-55*q^-8*x^10-218*q^-7*x^10-228*q^-6*x^10-509*q^-5*x^10-564*q^-4*x^10-646*q^-3*x^10+378*q^-2*x^10+1469*q^-1*x^10+181*x^10+495*q*x^10+371*q^2*x^10+274*q^3*x^10+44*q^4*x^10-50*q^5*x^10-114*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 |
| 12n_115 | [-1, -1, -1, -2, -2, -1, -2, 3, 2, 2, -1, 3, 3] | [1, -1, 1, -1, -1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, -1] | -q^-2*x^3+q^-4*x^4-q^-2*x^4-q^-7*x^5+q^-4*x^5-q^-2*x^5+q^-11*x^6-q^-7*x^6+q^-6*x^6+2*q^-4*x^6-q^-16*x^7+q^-11*x^7-q^-10*x^7-q^-9*x^7-q^-8*x^7-2*q^-7*x^7-q^-5*x^7+2*q^-4*x^7+q^-1*x^7+q^-22*x^8-q^-16*x^8+q^-15*x^8+q^-14*x^8+2*q^-13*x^8+q^-12*x^8+3*q^-11*x^8-q^-8*x^8-2*q^-7*x^8+q^-6*x^8-2*q^-5*x^8+2*q^-4*x^8+q^-1*x^8+x^8-q^-29*x^9+q^-22*x^9-q^-21*x^9-q^-20*x^9-2*q^-19*x^9-2*q^-18*x^9-2*q^-17*x^9-3*q^-16*x^9+q^-13*x^9+q^-12*x^9+2*q^-11*x^9-q^-10*x^9-2*q^-8*x^9-3*q^-7*x^9+q^-6*x^9-3*q^-5*x^9+x^9+q*x^9+q^-37*x^10-q^-29*x^10+q^-28*x^10+q^-27*x^10+2*q^-26*x^10+2*q^-25*x^10+3*q^-24*x^10+2*q^-23*x^10+3*q^-22*x^10-q^-19*x^10-q^-18*x^10-2*q^-16*x^10+3*q^-15*x^10+2*q^-14*x^10+4*q^-13*x^10+4*q^-12*x^10+4*q^-11*x^10+q^-10*x^10+3*q^-9*x^10-q^-8*x^10-3*q^-7*x^10+2*q^-6*x^10-2*q^-5*x^10-q^-4*x^10-2*q^-3*x^10+q^2*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12a_116 | [1, -2, -2, -3, 1, 1, 2, 3, -4, -2, -2, 3, -2, -4] | [-1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1] | -q^-1*x^3-6*q^-1*x^4+q^-2*x^5-21*q^-1*x^5-2*x^5+6*q^-2*x^6-58*q^-1*x^6-12*x^6-6*q*x^6-q^-5*x^7-3*q^-4*x^7+q^-3*x^7+19*q^-2*x^7-136*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^8-4*q^-6*x^8-9*q^-5*x^8-16*q^-4*x^8+q^-3*x^8+48*q^-2*x^8-289*q^-1*x^8-142*x^8-130*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^9-7*q^-8*x^9-16*q^-7*x^9-27*q^-6*x^9-39*q^-5*x^9-63*q^-4*x^9-9*q^-3*x^9+94*q^-2*x^9-565*q^-1*x^9-363*x^9-376*q*x^9-328*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^10-14*q^-10*x^10-30*q^-9*x^10-54*q^-8*x^10-78*q^-7*x^10-107*q^-6*x^10-145*q^-5*x^10-208*q^-4*x^10-81*q^-3*x^10+137*q^-2*x^10-1069*q^-1*x^10-828*x^10-944*q*x^10-915*q^2*x^10-1012*q^3*x^10-888*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 | 14 | 14 | Yes | 12 |
| 12n_119 | [1, 1, -2, 1, -3, -2, 1, -2, 1, 3, 1, 3, -2] | [1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1] | -q^2*x^2-2*q^2*x^3-3*q^2*x^4-q^3*x^4+q^5*x^4-7*q^2*x^5-2*q^3*x^5+3*q^4*x^5+2*q^5*x^5-2*q^6*x^5-4*q*x^6-11*q^2*x^6+5*q^4*x^6-5*q^6*x^6+2*q^7*x^6+2*q^8*x^6-q^11*x^6-5*x^7-8*q*x^7-15*q^2*x^7-q^3*x^7+3*q^4*x^7+q^5*x^7-2*q^6*x^7+8*q^7*x^7+2*q^8*x^7-6*q^9*x^7-3*q^10*x^7-2*q^11*x^7+2*q^12*x^7+2*q^13*x^7-6*q^-1*x^8-15*x^8-15*q*x^8-24*q^2*x^8-3*q^3*x^8+11*q^4*x^8+12*q^5*x^8+5*q^6*x^8+q^7*x^8-11*q^8*x^8-18*q^9*x^8+8*q^11*x^8+10*q^12*x^8+4*q^13*x^8-5*q^14*x^8-3*q^15*x^8-2*q^16*x^8+q^20*x^8-13*q^-2*x^9-22*q^-1*x^9-31*x^9-24*q*x^9-31*q^2*x^9+8*q^3*x^9+27*q^4*x^9+17*q^5*x^9-7*q^6*x^9-20*q^7*x^9-20*q^8*x^9-8*q^9*x^9+25*q^10*x^9+24*q^11*x^9+2*q^12*x^9-16*q^13*x^9-25*q^14*x^9-8*q^15*x^9+3*q^16*x^9+10*q^17*x^9+7*q^18*x^9+3*q^19*x^9+2*q^20*x^9-2*q^21*x^9-2*q^22*x^9-2*q^23*x^9-7*q^-4*x^10-20*q^-3*x^10-41*q^-2*x^10-47*q^-1*x^10-50*x^10-35*q*x^10-30*q^2*x^10+19*q^3*x^10+40*q^4*x^10+14*q^5*x^10-14*q^6*x^10-15*q^7*x^10+11*q^9*x^10+22*q^10*x^10-10*q^11*x^10-52*q^12*x^10-51*q^13*x^10-20*q^14*x^10+32*q^15*x^10+49*q^16*x^10+34*q^17*x^10+7*q^18*x^10-16*q^19*x^10-17*q^20*x^10-19*q^21*x^10-9*q^22*x^10-q^23*x^10+6*q^24*x^10+6*q^25*x^10+3*q^26*x^10+2*q^27*x^10-q^32*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12a_119 | [1, -2, -2, 3, 1, 3, 4, 1, 2, -3, -2, 4, 4, 3] | [-1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, -1, 1, -1, 1] | -q^2*x^3-6*q^2*x^4-2*q*x^5-21*q^2*x^5+3*q^3*x^5-4*x^6-12*q*x^6-56*q^2*x^6+18*q^3*x^6+6*q^4*x^6-5*q^-2*x^7-6*q^-1*x^7-22*x^7-42*q*x^7-120*q^2*x^7+69*q^3*x^7+33*q^4*x^7+6*q^5*x^7-12*q^-4*x^8-20*q^-3*x^8-30*q^-2*x^8-24*q^-1*x^8-72*x^8-100*q*x^8-201*q^2*x^8+216*q^3*x^8+120*q^4*x^8+24*q^5*x^8+6*q^6*x^8-6*q^7*x^8-7*q^-7*x^9-26*q^-6*x^9-51*q^-5*x^9-110*q^-4*x^9-85*q^-3*x^9-63*q^-2*x^9-38*q^-1*x^9-152*x^9-150*q*x^9-222*q^2*x^9+600*q^3*x^9+345*q^4*x^9+64*q^5*x^9+6*q^6*x^9-30*q^7*x^9-9*q^8*x^9-9*q^9*x^9-16*q^-10*x^10-28*q^-9*x^10-74*q^-8*x^10-150*q^-7*x^10-262*q^-6*x^10-334*q^-5*x^10-338*q^-4*x^10-58*q^-3*x^10+68*q^-2*x^10+84*q^-1*x^10-164*x^10-30*q*x^10+51*q^2*x^10+1482*q^3*x^10+834*q^4*x^10+93*q^5*x^10-60*q^6*x^10-150*q^7*x^10-48*q^8*x^10-66*q^9*x^10-12*q^10*x^10-6*q^11*x^10 | 10 | 14 | 14 | Yes | 12 |
| 12n_120 | [-1, -1, 2, 2, 3, -1, -2, -2, -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] | -q^-1*x^2-2*q^-1*x^3+q*x^3+q^-2*x^4-3*q^-1*x^4+2*q*x^4+2*q^2*x^4+q^-3*x^5+2*q^-2*x^5-4*q^-1*x^5-x^5+3*q*x^5+4*q^2*x^5+q^3*x^5-2*q^6*x^5-q^9*x^5+2*q^-3*x^6+3*q^-2*x^6-6*q^-1*x^6-3*x^6+2*q*x^6+6*q^2*x^6+2*q^3*x^6+q^4*x^6-4*q^6*x^6-2*q^7*x^6-q^8*x^6-2*q^9*x^6-2*q^10*x^6+q^15*x^6-q^-6*x^7+3*q^-3*x^7+4*q^-2*x^7-8*q^-1*x^7-7*x^7+7*q^2*x^7+3*q^3*x^7+3*q^4*x^7+3*q^5*x^7-6*q^6*x^7-4*q^7*x^7-3*q^8*x^7-2*q^9*x^7-5*q^10*x^7-3*q^11*x^7+q^13*x^7+q^14*x^7+2*q^15*x^7+2*q^16*x^7+2*q^17*x^7+2*q^18*x^7-q^-8*x^8-2*q^-6*x^8+q^-4*x^8+5*q^-3*x^8+7*q^-2*x^8-10*q^-1*x^8-12*x^8-3*q*x^8+7*q^2*x^8+3*q^3*x^8+7*q^4*x^8+9*q^5*x^8-4*q^6*x^8-4*q^7*x^8-4*q^8*x^8-2*q^9*x^8-6*q^10*x^8-7*q^11*x^8-5*q^12*x^8+2*q^13*x^8+2*q^14*x^8+3*q^15*x^8+3*q^16*x^8+8*q^17*x^8+8*q^18*x^8+5*q^19*x^8+q^20*x^8-2*q^25*x^8-2*q^26*x^8-q^31*x^8-2*q^-8*x^9-2*q^-6*x^9+q^-5*x^9+3*q^-4*x^9+11*q^-3*x^9+11*q^-2*x^9-12*q^-1*x^9-17*x^9-8*q*x^9+4*q^2*x^9+q^3*x^9+11*q^4*x^9+18*q^5*x^9+2*q^6*x^9-3*q^8*x^9+q^9*x^9-6*q^10*x^9-10*q^11*x^9-13*q^12*x^9-5*q^13*x^9+q^14*x^9+2*q^15*x^9-q^16*x^9+9*q^17*x^9+17*q^18*x^9+17*q^19*x^9+11*q^20*x^9+3*q^21*x^9+q^22*x^9-q^23*x^9+2*q^24*x^9-5*q^25*x^9-8*q^26*x^9-6*q^27*x^9-5*q^28*x^9-2*q^29*x^9-q^30*x^9-2*q^31*x^9-2*q^32*x^9-2*q^33*x^9+q^41*x^9+q^-13*x^10-3*q^-8*x^10-2*q^-6*x^10+2*q^-5*x^10+8*q^-4*x^10+19*q^-3*x^10+16*q^-2*x^10-14*q^-1*x^10-23*x^10-18*q*x^10-5*q^2*x^10-7*q^3*x^10+12*q^4*x^10+27*q^5*x^10+10*q^6*x^10+7*q^7*x^10+3*q^8*x^10+8*q^9*x^10-q^10*x^10-12*q^11*x^10-21*q^12*x^10-17*q^13*x^10-10*q^14*x^10-4*q^15*x^10-15*q^16*x^10-3*q^17*x^10+14*q^18*x^10+30*q^19*x^10+30*q^20*x^10+19*q^21*x^10+8*q^22*x^10+3*q^23*x^10+8*q^24*x^10-q^25*x^10-11*q^26*x^10-16*q^27*x^10-21*q^28*x^10-17*q^29*x^10-9*q^30*x^10-6*q^31*x^10-4*q^32*x^10-8*q^33*x^10-4*q^34*x^10-3*q^35*x^10+q^37*x^10+4*q^38*x^10+2*q^39*x^10+q^40*x^10+2*q^41*x^10+2*q^42*x^10+2*q^43*x^10+2*q^44*x^10+2*q^45*x^10+2*q^46*x^10 | 10 | 13 | 13 | Yes | 12 |
| 12a_120 | [1, 2, 2, 1, 1, -2, -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, 1, 1, -1, 1] | -q*x^3-7*q*x^4-2*x^5-28*q*x^5-7*q^-1*x^6-14*x^6-89*q*x^6+q^3*x^6-5*q^-3*x^7-21*q^-2*x^7-47*q^-1*x^7-70*x^7-245*q*x^7-7*q^2*x^7+8*q^3*x^7+2*q^4*x^7-q^5*x^7-12*q^-5*x^8-21*q^-4*x^8-86*q^-3*x^8-148*q^-2*x^8-224*q^-1*x^8-268*x^8-624*q*x^8-45*q^2*x^8+27*q^3*x^8+16*q^4*x^8-3*q^5*x^8-4*q^6*x^8-2*q^7*x^8-7*q^-8*x^9-26*q^-7*x^9-52*q^-6*x^9-139*q^-5*x^9-281*q^-4*x^9-543*q^-3*x^9-707*q^-2*x^9-843*q^-1*x^9-893*x^9-1503*q*x^9-198*q^2*x^9+67*q^3*x^9+64*q^4*x^9+q^5*x^9-24*q^6*x^9-20*q^7*x^9-8*q^8*x^9-3*q^9*x^9-q^10*x^9-16*q^-11*x^10-28*q^-10*x^10-80*q^-9*x^10-165*q^-8*x^10-345*q^-7*x^10-552*q^-6*x^10-1119*q^-5*x^10-1738*q^-4*x^10-2478*q^-3*x^10-2684*q^-2*x^10-2793*q^-1*x^10-2667*x^10-3514*q*x^10-685*q^2*x^10+107*q^3*x^10+197*q^4*x^10+22*q^5*x^10-85*q^6*x^10-102*q^7*x^10-70*q^8*x^10-36*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 |