f_2: x
    (x)^1
f_3: x^2 +1
    (x +1)^2
f_4: x^3
    (x)^3
f_5: x^4 +x^2 +1
    (x^2 +x +1)^2
f_6: x^5 +x
    (x +1)^4
    (x)^1
f_7: x^6 +x^4 +1
    (x^3 +x^2 +1)^2
f_8: x^7
    (x)^7
f_9: x^8 +x^6 +x^4 +1
    (x^3 +x +1)^2
    (x +1)^2
f_10: x^9 +x^5 +x
    (x^2 +x +1)^4
    (x)^1
f_11: x^10 +x^8 +x^4 +x^2 +1
    (x^5 +x^4 +x^2 +x +1)^2
f_12: x^11 +x^3
    (x +1)^8
    (x)^3
f_13: x^12 +x^10 +x^8 +x^2 +1
    (x^6 +x^5 +x^4 +x +1)^2
f_14: x^13 +x^9 +x
    (x^3 +x^2 +1)^4
    (x)^1
f_15: x^14 +x^12 +x^8 +1
    (x^4 +x^3 +1)^2
    (x^2 +x +1)^2
    (x +1)^2
f_16: x^15
    (x)^15
f_17: x^16 +x^14 +x^12 +x^8 +1
    (x^4 +x^3 +x^2 +x +1)^2
    (x^4 +x +1)^2
f_18: x^17 +x^13 +x^9 +x
    (x^3 +x +1)^4
    (x +1)^4
    (x)^1
f_19: x^18 +x^16 +x^12 +x^10 +x^8 +x^2 +1
    (x^9 +x^8 +x^6 +x^5 +x^4 +x +1)^2
f_20: x^19 +x^11 +x^3
    (x^2 +x +1)^8
    (x)^3
f_21: x^20 +x^18 +x^16 +x^10 +x^8 +x^4 +x^2 +1
    (x^6 +x^5 +1)^2
    (x^3 +x^2 +1)^2
    (x +1)^2
f_22: x^21 +x^17 +x^9 +x^5 +x
    (x^5 +x^4 +x^2 +x +1)^4
    (x)^1
f_23: x^22 +x^20 +x^16 +x^8 +x^6 +x^4 +1
    (x^11 +x^10 +x^8 +x^4 +x^3 +x^2 +1)^2
f_24: x^23 +x^7
    (x +1)^16
    (x)^7
f_25: x^24 +x^22 +x^20 +x^16 +x^6 +x^4 +1
    (x^10 +x^6 +x^5 +x^3 +x^2 +x +1)^2
    (x^2 +x +1)^2
f_26: x^25 +x^21 +x^17 +x^5 +x
    (x^6 +x^5 +x^4 +x +1)^4
    (x)^1
f_27: x^26 +x^24 +x^20 +x^18 +x^16 +x^4 +x^2 +1
    (x^9 +x^7 +x^5 +x +1)^2
    (x^3 +x +1)^2
    (x +1)^2
f_28: x^27 +x^19 +x^3
    (x^3 +x^2 +1)^8
    (x)^3
f_29: x^28 +x^26 +x^24 +x^18 +x^16 +x^2 +1
    (x^14 +x^13 +x^12 +x^9 +x^8 +x +1)^2
f_30: x^29 +x^25 +x^17 +x
    (x^4 +x^3 +1)^4
    (x^2 +x +1)^4
    (x +1)^4
    (x)^1
f_31: x^30 +x^28 +x^24 +x^16 +1
    (x^5 +x^4 +x^3 +x^2 +1)^2
    (x^5 +x^3 +1)^2
    (x^5 +x^2 +1)^2
f_32: x^31
    (x)^31
f_33: x^32 +x^30 +x^28 +x^24 +x^16 +1
    (x^5 +x^4 +x^3 +x +1)^2
    (x^5 +x^4 +x^2 +x +1)^2
    (x^5 +x^3 +x^2 +x +1)^2
    (x +1)^2
f_34: x^33 +x^29 +x^25 +x^17 +x
    (x^4 +x^3 +x^2 +x +1)^4
    (x^4 +x +1)^4
    (x)^1
f_35: x^34 +x^32 +x^28 +x^26 +x^24 +x^18 +x^16 +x^2 +1
    (x^12 +x^11 +x^9 +x^7 +x^6 +x^5 +1)^2
    (x^3 +x^2 +1)^2
    (x^2 +x +1)^2
f_36: x^35 +x^27 +x^19 +x^3
    (x^3 +x +1)^8
    (x +1)^8
    (x)^3
f_37: x^36 +x^34 +x^32 +x^26 +x^24 +x^20 +x^18 +x^16 +x^4 +x^2 +1
    (x^18 +x^17 +x^16 +x^13 +x^12 +x^10 +x^9 +x^8 +x^2 +x +1)^2
f_38: x^37 +x^33 +x^25 +x^21 +x^17 +x^5 +x
    (x^9 +x^8 +x^6 +x^5 +x^4 +x +1)^4
    (x)^1
f_39: x^38 +x^36 +x^32 +x^24 +x^22 +x^20 +x^16 +x^6 +x^4 +1
    (x^12 +x^11 +x^8 +x^7 +x^6 +x^5 +x^4 +x^3 +1)^2
    (x^6 +x^5 +x^4 +x +1)^2
    (x +1)^2
f_40: x^39 +x^23 +x^7
    (x^2 +x +1)^16
    (x)^7
f_41: x^40 +x^38 +x^36 +x^32 +x^22 +x^20 +x^16 +x^8 +x^6 +x^4 +1
    (x^10 +x^9 +x^4 +x +1)^2
    (x^10 +x^8 +x^7 +x^4 +x^3 +x +1)^2
f_42: x^41 +x^37 +x^33 +x^21 +x^17 +x^9 +x^5 +x
    (x^6 +x^5 +1)^4
    (x^3 +x^2 +1)^4
    (x +1)^4
    (x)^1
f_43: x^42 +x^40 +x^36 +x^34 +x^32 +x^20 +x^18 +x^16 +x^10 +x^8 +x^4 +x^2 +1
    (x^7 +x^6 +x^5 +x^4 +x^2 +x +1)^2
    (x^7 +x^5 +x^4 +x^3 +x^2 +x +1)^2
    (x^7 +x +1)^2
f_44: x^43 +x^35 +x^19 +x^11 +x^3
    (x^5 +x^4 +x^2 +x +1)^8
    (x)^3
f_45: x^44 +x^42 +x^40 +x^34 +x^32 +x^18 +x^16 +x^12 +x^10 +x^8 +x^2 +1
    (x^12 +x^9 +x^7 +x^5 +x^4 +x^3 +1)^2
    (x^4 +x^3 +1)^2
    (x^3 +x +1)^2
    (x^2 +x +1)^2
    (x +1)^2
f_46: x^45 +x^41 +x^33 +x^17 +x^13 +x^9 +x
    (x^11 +x^10 +x^8 +x^4 +x^3 +x^2 +1)^4
    (x)^1
f_47: x^46 +x^44 +x^40 +x^32 +x^16 +x^14 +x^12 +x^8 +1
    (x^23 +x^22 +x^20 +x^16 +x^8 +x^7 +x^6 +x^4 +1)^2
f_48: x^47 +x^15
    (x +1)^32
    (x)^15
f_49: x^48 +x^46 +x^44 +x^40 +x^32 +x^14 +x^12 +x^8 +1
    (x^21 +x^19 +x^17 +x^14 +x^11 +x^10 +x^9 +x^7 +x^3 +x^2 +1)^2
    (x^3 +x^2 +1)^2
f_50: x^49 +x^45 +x^41 +x^33 +x^13 +x^9 +x
    (x^10 +x^6 +x^5 +x^3 +x^2 +x +1)^4
    (x^2 +x +1)^4
    (x)^1
f_51: x^50 +x^48 +x^44 +x^42 +x^40 +x^34 +x^32 +x^12 +x^10 +x^8 +x^2 +1
    (x^8 +x^7 +x^3 +x^2 +1)^2
    (x^8 +x^4 +x^3 +x^2 +1)^2
    (x^4 +x^3 +x^2 +x +1)^2
    (x^4 +x +1)^2
    (x +1)^2
f_52: x^51 +x^43 +x^35 +x^11 +x^3
    (x^6 +x^5 +x^4 +x +1)^8
    (x)^3
f_53: x^52 +x^50 +x^48 +x^42 +x^40 +x^36 +x^34 +x^32 +x^10 +x^8 +x^4 +x^2 +1
    (x^26 +x^25 +x^24 +x^21 +x^20 +x^18 +x^17 +x^16 +x^5 +x^4 +x^2 +x +1)^2
f_54: x^53 +x^49 +x^41 +x^37 +x^33 +x^9 +x^5 +x
    (x^9 +x^7 +x^5 +x +1)^4
    (x^3 +x +1)^4
    (x +1)^4
    (x)^1
f_55: x^54 +x^52 +x^48 +x^40 +x^38 +x^36 +x^32 +x^8 +x^6 +x^4 +1
    (x^20 +x^19 +x^17 +x^15 +x^14 +x^12 +x^11 +x^8 +x^6 +x^5 +x^4 +x^3 +1)^2
    (x^5 +x^4 +x^2 +x +1)^2
    (x^2 +x +1)^2
f_56: x^55 +x^39 +x^7
    (x^3 +x^2 +1)^16
    (x)^7
f_57: x^56 +x^54 +x^52 +x^48 +x^38 +x^36 +x^32 +x^6 +x^4 +1
    (x^9 +x^8 +x^6 +x^5 +x^4 +x +1)^2
    (x^9 +x^8 +x^6 +x^4 +x^3 +x +1)^2
    (x^9 +x^6 +x^5 +x^3 +x^2 +x +1)^2
    (x +1)^2
f_58: x^57 +x^53 +x^49 +x^37 +x^33 +x^5 +x
    (x^14 +x^13 +x^12 +x^9 +x^8 +x +1)^4
    (x)^1
f_59: x^58 +x^56 +x^52 +x^50 +x^48 +x^36 +x^34 +x^32 +x^4 +x^2 +1
    (x^29 +x^28 +x^26 +x^25 +x^24 +x^18 +x^17 +x^16 +x^2 +x +1)^2
f_60: x^59 +x^51 +x^35 +x^3
    (x^4 +x^3 +1)^8
    (x^2 +x +1)^8
    (x +1)^8
    (x)^3
f_61: x^60 +x^58 +x^56 +x^50 +x^48 +x^34 +x^32 +x^2 +1
    (x^30 +x^29 +x^28 +x^25 +x^24 +x^17 +x^16 +x +1)^2
f_62: x^61 +x^57 +x^49 +x^33 +x
    (x^5 +x^4 +x^3 +x^2 +1)^4
    (x^5 +x^3 +1)^4
    (x^5 +x^2 +1)^4
    (x)^1
f_63: x^62 +x^60 +x^56 +x^48 +x^32 +1
    (x^6 +x^5 +x^4 +x^2 +1)^2
    (x^6 +x^5 +x^3 +x^2 +1)^2
    (x^6 +x^5 +1)^2
    (x^6 +x^3 +1)^2
    (x^3 +x^2 +1)^2
    (x^3 +x +1)^2
    (x +1)^2
f_64: x^63
    (x)^63
f_65: x^64 +x^62 +x^60 +x^56 +x^48 +x^32 +1
    (x^6 +x^5 +x^4 +x +1)^2
    (x^6 +x^5 +x^2 +x +1)^2
    (x^6 +x^4 +x^3 +x +1)^2
    (x^6 +x^4 +x^2 +x +1)^2
    (x^6 +x +1)^2
    (x^2 +x +1)^2
f_66: x^65 +x^61 +x^57 +x^49 +x^33 +x
    (x^5 +x^4 +x^3 +x +1)^4
    (x^5 +x^4 +x^2 +x +1)^4
    (x^5 +x^3 +x^2 +x +1)^4
    (x +1)^4
    (x)^1
f_67: x^66 +x^64 +x^60 +x^58 +x^56 +x^50 +x^48 +x^34 +x^32 +x^2 +1
    (x^33 +x^32 +x^30 +x^29 +x^28 +x^25 +x^24 +x^17 +x^16 +x +1)^2
f_68: x^67 +x^59 +x^51 +x^35 +x^3
    (x^4 +x^3 +x^2 +x +1)^8
    (x^4 +x +1)^8
    (x)^3
f_69: x^68 +x^66 +x^64 +x^58 +x^56 +x^52 +x^50 +x^48 +x^36 +x^34 +x^32 +x^4 +x^2 +1
    (x^22 +x^21 +x^16 +x^15 +x^14 +x^13 +x^12 +x^11 +x^10 +x^9 +x^6 +x^5 +1)^2
    (x^11 +x^10 +x^8 +x^4 +x^3 +x^2 +1)^2
    (x +1)^2
f_70: x^69 +x^65 +x^57 +x^53 +x^49 +x^37 +x^33 +x^5 +x
    (x^12 +x^11 +x^9 +x^7 +x^6 +x^5 +1)^4
    (x^3 +x^2 +1)^4
    (x^2 +x +1)^4
    (x)^1
f_71: x^70 +x^68 +x^64 +x^56 +x^54 +x^52 +x^48 +x^38 +x^36 +x^32 +x^6 +x^4 +1
    (x^35 +x^34 +x^32 +x^28 +x^27 +x^26 +x^24 +x^19 +x^18 +x^16 +x^3 +x^2 +1)^2
f_72: x^71 +x^55 +x^39 +x^7
    (x^3 +x +1)^16
    (x +1)^16
    (x)^7
f_73: x^72 +x^70 +x^68 +x^64 +x^54 +x^52 +x^48 +x^40 +x^38 +x^36 +x^32 +x^8 +x^6 +x^4 +1
    (x^9 +x^8 +x^7 +x^5 +1)^2
    (x^9 +x^8 +x^7 +x^2 +1)^2
    (x^9 +x^8 +x^5 +x^4 +1)^2
    (x^9 +x^6 +x^5 +x^3 +1)^2
f_74: x^73 +x^69 +x^65 +x^53 +x^49 +x^41 +x^37 +x^33 +x^9 +x^5 +x
    (x^18 +x^17 +x^16 +x^13 +x^12 +x^10 +x^9 +x^8 +x^2 +x +1)^4
    (x)^1
f_75: x^74 +x^72 +x^68 +x^66 +x^64 +x^52 +x^50 +x^48 +x^42 +x^40 +x^36 +x^34 +x^32 +x^10 +x^8 +x^4 +x^2 +1
    (x^20 +x^15 +x^13 +x^12 +x^9 +x^5 +x^4 +x^3 +1)^2
    (x^10 +x^6 +x^5 +x^3 +x^2 +x +1)^2
    (x^4 +x^3 +1)^2
    (x^2 +x +1)^2
    (x +1)^2
f_76: x^75 +x^67 +x^51 +x^43 +x^35 +x^11 +x^3
    (x^9 +x^8 +x^6 +x^5 +x^4 +x +1)^8
    (x)^3
f_77: x^76 +x^74 +x^72 +x^66 +x^64 +x^50 +x^48 +x^44 +x^42 +x^40 +x^34 +x^32 +x^12 +x^10 +x^8 +x^2 +1
    (x^30 +x^29 +x^27 +x^26 +x^25 +x^23 +x^22 +x^21 +x^18 +x^17 +x^16 +x^15 +x^14 +x^12 +x^9 +x^7 +x^6 +x^5 +1)^2
    (x^5 +x^4 +x^2 +x +1)^2
    (x^3 +x^2 +1)^2
f_78: x^77 +x^73 +x^65 +x^49 +x^45 +x^41 +x^33 +x^13 +x^9 +x
    (x^12 +x^11 +x^8 +x^7 +x^6 +x^5 +x^4 +x^3 +1)^4
    (x^6 +x^5 +x^4 +x +1)^4
    (x +1)^4
    (x)^1
f_79: x^78 +x^76 +x^72 +x^64 +x^48 +x^46 +x^44 +x^40 +x^32 +x^14 +x^12 +x^8 +1
    (x^39 +x^38 +x^36 +x^32 +x^24 +x^23 +x^22 +x^20 +x^16 +x^7 +x^6 +x^4 +1)^2
f_80: x^79 +x^47 +x^15
    (x^2 +x +1)^32
    (x)^15
f_81: x^80 +x^78 +x^76 +x^72 +x^64 +x^46 +x^44 +x^40 +x^32 +x^16 +x^14 +x^12 +x^8 +1
    (x^27 +x^25 +x^21 +x^19 +x^17 +x^5 +x^3 +x +1)^2
    (x^9 +x^7 +x^5 +x +1)^2
    (x^3 +x +1)^2
    (x +1)^2
f_82: x^81 +x^77 +x^73 +x^65 +x^45 +x^41 +x^33 +x^17 +x^13 +x^9 +x
    (x^10 +x^9 +x^4 +x +1)^4
    (x^10 +x^8 +x^7 +x^4 +x^3 +x +1)^4
    (x)^1
f_83: x^82 +x^80 +x^76 +x^74 +x^72 +x^66 +x^64 +x^44 +x^42 +x^40 +x^34 +x^32 +x^18 +x^16 +x^12 +x^10 +x^8 +x^2 +1
    (x^41 +x^40 +x^38 +x^37 +x^36 +x^33 +x^32 +x^22 +x^21 +x^20 +x^17 +x^16 +x^9 +x^8 +x^6 +x^5 +x^4 +x +1)^2
f_84: x^83 +x^75 +x^67 +x^43 +x^35 +x^19 +x^11 +x^3
    (x^6 +x^5 +1)^8
    (x^3 +x^2 +1)^8
    (x +1)^8
    (x)^3
f_85: x^84 +x^82 +x^80 +x^74 +x^72 +x^68 +x^66 +x^64 +x^42 +x^40 +x^36 +x^34 +x^32 +x^20 +x^18 +x^16 +x^10 +x^8 +x^4 +x^2 +1
    (x^8 +x^7 +x^6 +x^5 +x^4 +x^2 +1)^2
    (x^8 +x^7 +x^6 +x^4 +x^3 +x^2 +1)^2
    (x^8 +x^7 +x^5 +x^3 +1)^2
    (x^8 +x^6 +x^5 +x^4 +1)^2
    (x^4 +x^3 +x^2 +x +1)^2
    (x^4 +x +1)^2
    (x^2 +x +1)^2
f_86: x^85 +x^81 +x^73 +x^69 +x^65 +x^41 +x^37 +x^33 +x^21 +x^17 +x^9 +x^5 +x
    (x^7 +x^6 +x^5 +x^4 +x^2 +x +1)^4
    (x^7 +x^5 +x^4 +x^3 +x^2 +x +1)^4
    (x^7 +x +1)^4
    (x)^1
f_87: x^86 +x^84 +x^80 +x^72 +x^70 +x^68 +x^64 +x^40 +x^38 +x^36 +x^32 +x^22 +x^20 +x^16 +x^8 +x^6 +x^4 +1
    (x^28 +x^27 +x^24 +x^23 +x^22 +x^21 +x^20 +x^19 +x^16 +x^15 +x^14 +x^13 +x^12 +x^11 +x^10 +x^9 +x^8 +x^7 +x^6 +x^5 +x^4 +x^3 +1)^2
    (x^14 +x^13 +x^12 +x^9 +x^8 +x +1)^2
    (x +1)^2
f_88: x^87 +x^71 +x^39 +x^23 +x^7
    (x^5 +x^4 +x^2 +x +1)^16
    (x)^7
f_89: x^88 +x^86 +x^84 +x^80 +x^70 +x^68 +x^64 +x^38 +x^36 +x^32 +x^24 +x^22 +x^20 +x^16 +x^6 +x^4 +1
    (x^11 +x^10 +x^9 +x^7 +x^6 +x^4 +x^3 +x^2 +1)^2
    (x^11 +x^10 +x^8 +x^7 +x^6 +x^5 +x^4 +x^2 +1)^2
    (x^11 +x^10 +x^7 +x^6 +x^5 +x^3 +1)^2
    (x^11 +x^9 +x^8 +x^6 +x^5 +x^4 +x^3 +x^2 +1)^2
f_90: x^89 +x^85 +x^81 +x^69 +x^65 +x^37 +x^33 +x^25 +x^21 +x^17 +x^5 +x
    (x^12 +x^9 +x^7 +x^5 +x^4 +x^3 +1)^4
    (x^4 +x^3 +1)^4
    (x^3 +x +1)^4
    (x^2 +x +1)^4
    (x +1)^4
    (x)^1
f_91: x^90 +x^88 +x^84 +x^82 +x^80 +x^68 +x^66 +x^64 +x^36 +x^34 +x^32 +x^26 +x^24 +x^20 +x^18 +x^16 +x^4 +x^2 +1
    (x^12 +x^11 +x^10 +x^9 +x^8 +x^6 +x^5 +x^4 +1)^2
    (x^12 +x^10 +x^8 +x^6 +x^3 +x^2 +1)^2
    (x^12 +x^9 +x^3 +x^2 +1)^2
    (x^6 +x^5 +x^4 +x +1)^2
    (x^3 +x^2 +1)^2
f_92: x^91 +x^83 +x^67 +x^35 +x^27 +x^19 +x^3
    (x^11 +x^10 +x^8 +x^4 +x^3 +x^2 +1)^8
    (x)^3
f_93: x^92 +x^90 +x^88 +x^82 +x^80 +x^66 +x^64 +x^34 +x^32 +x^28 +x^26 +x^24 +x^18 +x^16 +x^2 +1
    (x^10 +x^9 +x^8 +x^7 +x^6 +x^2 +1)^2
    (x^10 +x^8 +x^4 +x^3 +1)^2
    (x^10 +x^5 +x^3 +x^2 +1)^2
    (x^5 +x^4 +x^3 +x^2 +1)^2
    (x^5 +x^3 +1)^2
    (x^5 +x^2 +1)^2
    (x +1)^2
f_94: x^93 +x^89 +x^81 +x^65 +x^33 +x^29 +x^25 +x^17 +x
    (x^23 +x^22 +x^20 +x^16 +x^8 +x^7 +x^6 +x^4 +1)^4
    (x)^1
f_95: x^94 +x^92 +x^88 +x^80 +x^64 +x^32 +x^30 +x^28 +x^24 +x^16 +1
    (x^36 +x^35 +x^33 +x^31 +x^30 +x^28 +x^27 +x^25 +x^23 +x^22 +x^17 +x^11 +x^10 +x^9 +x^4 +x^3 +1)^2
    (x^9 +x^8 +x^6 +x^5 +x^4 +x +1)^2
    (x^2 +x +1)^2
f_96: x^95 +x^31
    (x +1)^64
    (x)^31
f_97: x^96 +x^94 +x^92 +x^88 +x^80 +x^64 +x^30 +x^28 +x^24 +x^16 +1
    (x^24 +x^23 +x^22 +x^20 +x^19 +x^18 +x^17 +x^15 +x^13 +x^10 +x^9 +x^5 +x^3 +x +1)^2
    (x^24 +x^19 +x^16 +x^15 +x^14 +x^12 +x^11 +x^10 +x^5 +x^4 +x^2 +x +1)^2
f_98: x^97 +x^93 +x^89 +x^81 +x^65 +x^29 +x^25 +x^17 +x
    (x^21 +x^19 +x^17 +x^14 +x^11 +x^10 +x^9 +x^7 +x^3 +x^2 +1)^4
    (x^3 +x^2 +1)^4
    (x)^1
f_99: x^98 +x^96 +x^92 +x^90 +x^88 +x^82 +x^80 +x^66 +x^64 +x^28 +x^26 +x^24 +x^18 +x^16 +x^2 +1
    (x^15 +x^13 +x^12 +x^9 +x^4 +x +1)^2
    (x^15 +x^13 +x^9 +x^6 +x^2 +x +1)^2
    (x^5 +x^4 +x^3 +x +1)^2
    (x^5 +x^4 +x^2 +x +1)^2
    (x^5 +x^3 +x^2 +x +1)^2
    (x^3 +x +1)^2
    (x +1)^2
f_100: x^99 +x^91 +x^83 +x^67 +x^27 +x^19 +x^3
    (x^10 +x^6 +x^5 +x^3 +x^2 +x +1)^8
    (x^2 +x +1)^8
    (x)^3
f_101: x^100 +x^98 +x^96 +x^90 +x^88 +x^84 +x^82 +x^80 +x^68 +x^66 +x^64 +x^26 +x^24 +x^20 +x^18 +x^16 +x^4 +x^2 +1
    (x^50 +x^49 +x^48 +x^45 +x^44 +x^42 +x^41 +x^40 +x^34 +x^33 +x^32 +x^13 +x^12 +x^10 +x^9 +x^8 +x^2 +x +1)^2
f_102: x^101 +x^97 +x^89 +x^85 +x^81 +x^69 +x^65 +x^25 +x^21 +x^17 +x^5 +x
    (x^8 +x^7 +x^3 +x^2 +1)^4
    (x^8 +x^4 +x^3 +x^2 +1)^4
    (x^4 +x^3 +x^2 +x +1)^4
    (x^4 +x +1)^4
    (x +1)^4
    (x)^1
f_103: x^102 +x^100 +x^96 +x^88 +x^86 +x^84 +x^80 +x^70 +x^68 +x^64 +x^24 +x^22 +x^20 +x^16 +x^6 +x^4 +1
    (x^51 +x^50 +x^48 +x^44 +x^43 +x^42 +x^40 +x^35 +x^34 +x^32 +x^12 +x^11 +x^10 +x^8 +x^3 +x^2 +1)^2
f_104: x^103 +x^87 +x^71 +x^23 +x^7
    (x^6 +x^5 +x^4 +x +1)^16
    (x)^7
f_105: x^104 +x^102 +x^100 +x^96 +x^86 +x^84 +x^80 +x^72 +x^70 +x^68 +x^64 +x^22 +x^20 +x^16 +x^8 +x^6 +x^4 +1
    (x^12 +x^11 +x^9 +x^7 +x^6 +x^5 +1)^2
    (x^12 +x^11 +x^9 +x^7 +x^6 +x^2 +1)^2
    (x^12 +x^10 +x^9 +x^8 +x^4 +x^2 +1)^2
    (x^6 +x^5 +1)^2
    (x^4 +x^3 +1)^2
    (x^3 +x^2 +1)^2
    (x^2 +x +1)^2
    (x +1)^2
f_106: x^105 +x^101 +x^97 +x^85 +x^81 +x^73 +x^69 +x^65 +x^21 +x^17 +x^9 +x^5 +x
    (x^26 +x^25 +x^24 +x^21 +x^20 +x^18 +x^17 +x^16 +x^5 +x^4 +x^2 +x +1)^4
    (x)^1
f_107: x^106 +x^104 +x^100 +x^98 +x^96 +x^84 +x^82 +x^80 +x^74 +x^72 +x^68 +x^66 +x^64 +x^20 +x^18 +x^16 +x^10 +x^8 +x^4 +x^2 +1
    (x^53 +x^52 +x^50 +x^49 +x^48 +x^42 +x^41 +x^40 +x^37 +x^36 +x^34 +x^33 +x^32 +x^10 +x^9 +x^8 +x^5 +x^4 +x^2 +x +1)^2
f_108: x^107 +x^99 +x^83 +x^75 +x^67 +x^19 +x^11 +x^3
    (x^9 +x^7 +x^5 +x +1)^8
    (x^3 +x +1)^8
    (x +1)^8
    (x)^3
f_109: x^108 +x^106 +x^104 +x^98 +x^96 +x^82 +x^80 +x^76 +x^74 +x^72 +x^66 +x^64 +x^18 +x^16 +x^12 +x^10 +x^8 +x^2 +1
    (x^18 +x^17 +x^16 +x^15 +x^14 +x^12 +x^11 +x^9 +x^8 +x^7 +x^6 +x^5 +x^2 +x +1)^2
    (x^18 +x^16 +x^15 +x^14 +x^13 +x^12 +x^10 +x^5 +x^4 +x +1)^2
    (x^18 +x^16 +x^12 +x^10 +x^9 +x^8 +x^7 +x^6 +x^5 +x^4 +x^3 +x +1)^2
f_110: x^109 +x^105 +x^97 +x^81 +x^77 +x^73 +x^65 +x^17 +x^13 +x^9 +x
    (x^20 +x^19 +x^17 +x^15 +x^14 +x^12 +x^11 +x^8 +x^6 +x^5 +x^4 +x^3 +1)^4
    (x^5 +x^4 +x^2 +x +1)^4
    (x^2 +x +1)^4
    (x)^1
f_111: x^110 +x^108 +x^104 +x^96 +x^80 +x^78 +x^76 +x^72 +x^64 +x^16 +x^14 +x^12 +x^8 +1
    (x^36 +x^35 +x^32 +x^31 +x^30 +x^29 +x^28 +x^27 +x^24 +x^23 +x^22 +x^21 +x^18 +x^17 +x^4 +x^3 +1)^2
    (x^18 +x^17 +x^16 +x^13 +x^12 +x^10 +x^9 +x^8 +x^2 +x +1)^2
    (x +1)^2
f_112: x^111 +x^79 +x^15
    (x^3 +x^2 +1)^32
    (x)^15
f_113: x^112 +x^110 +x^108 +x^104 +x^96 +x^78 +x^76 +x^72 +x^64 +x^14 +x^12 +x^8 +1
    (x^14 +x^13 +x^9 +x^8 +x^7 +x^5 +x^4 +x^3 +x^2 +x +1)^2
    (x^14 +x^12 +x^10 +x^8 +x^6 +x^5 +x^3 +x +1)^2
    (x^14 +x^11 +x^9 +x^8 +x^7 +x^6 +x^3 +x +1)^2
    (x^14 +x^10 +x^9 +x^8 +x^7 +x^6 +x^5 +x^3 +x^2 +x +1)^2
f_114: x^113 +x^109 +x^105 +x^97 +x^77 +x^73 +x^65 +x^13 +x^9 +x
    (x^9 +x^8 +x^6 +x^5 +x^4 +x +1)^4
    (x^9 +x^8 +x^6 +x^4 +x^3 +x +1)^4
    (x^9 +x^6 +x^5 +x^3 +x^2 +x +1)^4
    (x +1)^4
    (x)^1
f_115: x^114 +x^112 +x^108 +x^106 +x^104 +x^98 +x^96 +x^76 +x^74 +x^72 +x^66 +x^64 +x^12 +x^10 +x^8 +x^2 +1
    (x^44 +x^43 +x^41 +x^39 +x^38 +x^36 +x^35 +x^33 +x^31 +x^30 +x^28 +x^27 +x^25 +x^24 +x^22 +x^20 +x^18 +x^17 +x^16 +x^15 +x^13 +x^11 +x^10 +x^7 +x^6 +x^5 +1)^2
    (x^11 +x^10 +x^8 +x^4 +x^3 +x^2 +1)^2
    (x^2 +x +1)^2
f_116: x^115 +x^107 +x^99 +x^75 +x^67 +x^11 +x^3
    (x^14 +x^13 +x^12 +x^9 +x^8 +x +1)^8
    (x)^3
f_117: x^116 +x^114 +x^112 +x^106 +x^104 +x^100 +x^98 +x^96 +x^74 +x^72 +x^68 +x^66 +x^64 +x^10 +x^8 +x^4 +x^2 +1
    (x^12 +x^11 +x^10 +x^8 +x^7 +x^4 +1)^2
    (x^12 +x^11 +x^10 +x^7 +x^5 +x^2 +1)^2
    (x^12 +x^11 +x^8 +x^7 +x^6 +x^5 +x^4 +x^3 +1)^2
    (x^12 +x^10 +x^9 +x^8 +x^7 +x^4 +x^3 +x^2 +1)^2
    (x^6 +x^5 +x^4 +x +1)^2
    (x^3 +x +1)^2
    (x +1)^2
f_118: x^117 +x^113 +x^105 +x^101 +x^97 +x^73 +x^69 +x^65 +x^9 +x^5 +x
    (x^29 +x^28 +x^26 +x^25 +x^24 +x^18 +x^17 +x^16 +x^2 +x +1)^4
    (x)^1
f_119: x^118 +x^116 +x^112 +x^104 +x^102 +x^100 +x^96 +x^72 +x^70 +x^68 +x^64 +x^8 +x^6 +x^4 +1
    (x^24 +x^23 +x^19 +x^18 +x^16 +x^15 +x^14 +x^13 +x^11 +x^10 +x^9 +x^8 +x^6 +x^5 +x^4 +x^2 +1)^2
    (x^24 +x^21 +x^20 +x^18 +x^17 +x^10 +x^5 +x^2 +1)^2
    (x^4 +x^3 +x^2 +x +1)^2
    (x^4 +x +1)^2
    (x^3 +x^2 +1)^2
f_120: x^119 +x^103 +x^71 +x^7
    (x^4 +x^3 +1)^16
    (x^2 +x +1)^16
    (x +1)^16
    (x)^7
f_121: x^120 +x^118 +x^116 +x^112 +x^102 +x^100 +x^96 +x^70 +x^68 +x^64 +x^6 +x^4 +1
    (x^55 +x^53 +x^49 +x^44 +x^41 +x^39 +x^37 +x^36 +x^31 +x^29 +x^25 +x^22 +x^20 +x^18 +x^17 +x^12 +x^11 +x^10 +x^7 +x^6 +x^4 +x^3 +x^2 +x +1)^2
    (x^5 +x^4 +x^2 +x +1)^2
f_122: x^121 +x^117 +x^113 +x^101 +x^97 +x^69 +x^65 +x^5 +x
    (x^30 +x^29 +x^28 +x^25 +x^24 +x^17 +x^16 +x +1)^4
    (x)^1
f_123: x^122 +x^120 +x^116 +x^114 +x^112 +x^100 +x^98 +x^96 +x^68 +x^66 +x^64 +x^4 +x^2 +1
    (x^20 +x^19 +x^18 +x^17 +x^13 +x^11 +x^10 +x^7 +x^6 +x^5 +1)^2
    (x^20 +x^18 +x^14 +x^13 +x^9 +x^7 +1)^2
    (x^10 +x^9 +x^4 +x +1)^2
    (x^10 +x^8 +x^7 +x^4 +x^3 +x +1)^2
    (x +1)^2
f_124: x^123 +x^115 +x^99 +x^67 +x^3
    (x^5 +x^4 +x^3 +x^2 +1)^8
    (x^5 +x^3 +1)^8
    (x^5 +x^2 +1)^8
    (x)^3
f_125: x^124 +x^122 +x^120 +x^114 +x^112 +x^98 +x^96 +x^66 +x^64 +x^2 +1
    (x^50 +x^46 +x^42 +x^34 +x^25 +x^23 +x^21 +x^17 +x^14 +x^10 +x^7 +x^5 +x^2 +x +1)^2
    (x^10 +x^6 +x^5 +x^3 +x^2 +x +1)^2
    (x^2 +x +1)^2
f_126: x^125 +x^121 +x^113 +x^97 +x^65 +x
    (x^6 +x^5 +x^4 +x^2 +1)^4
    (x^6 +x^5 +x^3 +x^2 +1)^4
    (x^6 +x^5 +1)^4
    (x^6 +x^3 +1)^4
    (x^3 +x^2 +1)^4
    (x^3 +x +1)^4
    (x +1)^4
    (x)^1
f_127: x^126 +x^124 +x^120 +x^112 +x^96 +x^64 +1
    (x^7 +x^6 +x^5 +x^4 +x^3 +x^2 +1)^2
    (x^7 +x^6 +x^5 +x^4 +1)^2
    (x^7 +x^6 +x^5 +x^2 +1)^2
    (x^7 +x^6 +x^4 +x^2 +1)^2
    (x^7 +x^6 +1)^2
    (x^7 +x^5 +x^4 +x^3 +1)^2
    (x^7 +x^4 +x^3 +x^2 +1)^2
    (x^7 +x^4 +1)^2
    (x^7 +x^3 +1)^2
f_128: x^127
    (x)^127
f_129: x^128 +x^126 +x^124 +x^120 +x^112 +x^96 +x^64 +1
    (x^7 +x^6 +x^5 +x^4 +x^2 +x +1)^2
    (x^7 +x^6 +x^5 +x^3 +x^2 +x +1)^2
    (x^7 +x^6 +x^4 +x +1)^2
    (x^7 +x^6 +x^3 +x +1)^2
    (x^7 +x^5 +x^4 +x^3 +x^2 +x +1)^2
    (x^7 +x^5 +x^3 +x +1)^2
    (x^7 +x^5 +x^2 +x +1)^2
    (x^7 +x^3 +x^2 +x +1)^2
    (x^7 +x +1)^2
    (x +1)^2
f_130: x^129 +x^125 +x^121 +x^113 +x^97 +x^65 +x
    (x^6 +x^5 +x^4 +x +1)^4
    (x^6 +x^5 +x^2 +x +1)^4
    (x^6 +x^4 +x^3 +x +1)^4
    (x^6 +x^4 +x^2 +x +1)^4
    (x^6 +x +1)^4
    (x^2 +x +1)^4
    (x)^1
f_131: x^130 +x^128 +x^124 +x^122 +x^120 +x^114 +x^112 +x^98 +x^96 +x^66 +x^64 +x^2 +1
    (x^65 +x^64 +x^62 +x^61 +x^60 +x^57 +x^56 +x^49 +x^48 +x^33 +x^32 +x +1)^2
f_132: x^131 +x^123 +x^115 +x^99 +x^67 +x^3
    (x^5 +x^4 +x^3 +x +1)^8
    (x^5 +x^4 +x^2 +x +1)^8
    (x^5 +x^3 +x^2 +x +1)^8
    (x +1)^8
    (x)^3
f_133: x^132 +x^130 +x^128 +x^122 +x^120 +x^116 +x^114 +x^112 +x^100 +x^98 +x^96 +x^68 +x^66 +x^64 +x^4 +x^2 +1
    (x^18 +x^17 +x^14 +x^13 +x^11 +x^8 +x^7 +x^3 +1)^2
    (x^18 +x^15 +x^14 +x^13 +x^12 +x^10 +x^9 +x^5 +x^3 +x^2 +1)^2
    (x^18 +x^9 +x^6 +x^5 +x^4 +x^2 +1)^2
    (x^9 +x^8 +x^6 +x^5 +x^4 +x +1)^2
    (x^3 +x^2 +1)^2
f_134: x^133 +x^129 +x^121 +x^117 +x^113 +x^101 +x^97 +x^69 +x^65 +x^5 +x
    (x^33 +x^32 +x^30 +x^29 +x^28 +x^25 +x^24 +x^17 +x^16 +x +1)^4
    (x)^1
f_135: x^134 +x^132 +x^128 +x^120 +x^118 +x^116 +x^112 +x^102 +x^100 +x^96 +x^70 +x^68 +x^64 +x^6 +x^4 +1
    (x^36 +x^28 +x^27 +x^25 +x^21 +x^20 +x^19 +x^17 +x^9 +x^7 +x^4 +x^3 +1)^2
    (x^12 +x^9 +x^7 +x^5 +x^4 +x^3 +1)^2
    (x^9 +x^7 +x^5 +x +1)^2
    (x^4 +x^3 +1)^2
    (x^3 +x +1)^2
    (x^2 +x +1)^2
    (x +1)^2
f_136: x^135 +x^119 +x^103 +x^71 +x^7
    (x^4 +x^3 +x^2 +x +1)^16
    (x^4 +x +1)^16
    (x)^7
f_137: x^136 +x^134 +x^132 +x^128 +x^118 +x^116 +x^112 +x^104 +x^102 +x^100 +x^96 +x^72 +x^70 +x^68 +x^64 +x^8 +x^6 +x^4 +1
    (x^34 +x^33 +x^29 +x^26 +x^25 +x^20 +x^19 +x^18 +x^12 +x^11 +x^10 +x^9 +x^8 +x^6 +x^5 +x^4 +x^3 +x +1)^2
    (x^34 +x^32 +x^31 +x^29 +x^28 +x^24 +x^21 +x^19 +x^17 +x^15 +x^14 +x^10 +x^9 +x^7 +x^6 +x^5 +x^4 +x +1)^2
f_138: x^137 +x^133 +x^129 +x^117 +x^113 +x^105 +x^101 +x^97 +x^73 +x^69 +x^65 +x^9 +x^5 +x
    (x^22 +x^21 +x^16 +x^15 +x^14 +x^13 +x^12 +x^11 +x^10 +x^9 +x^6 +x^5 +1)^4
    (x^11 +x^10 +x^8 +x^4 +x^3 +x^2 +1)^4
    (x +1)^4
    (x)^1
f_139: x^138 +x^136 +x^132 +x^130 +x^128 +x^116 +x^114 +x^112 +x^106 +x^104 +x^100 +x^98 +x^96 +x^74 +x^72 +x^68 +x^66 +x^64 +x^10 +x^8 +x^4 +x^2 +1
    (x^69 +x^68 +x^66 +x^65 +x^64 +x^58 +x^57 +x^56 +x^53 +x^52 +x^50 +x^49 +x^48 +x^37 +x^36 +x^34 +x^33 +x^32 +x^5 +x^4 +x^2 +x +1)^2
f_140: x^139 +x^131 +x^115 +x^107 +x^99 +x^75 +x^67 +x^11 +x^3
    (x^12 +x^11 +x^9 +x^7 +x^6 +x^5 +1)^8
    (x^3 +x^2 +1)^8
    (x^2 +x +1)^8
    (x)^3
f_141: x^140 +x^138 +x^136 +x^130 +x^128 +x^114 +x^112 +x^108 +x^106 +x^104 +x^98 +x^96 +x^76 +x^74 +x^72 +x^66 +x^64 +x^12 +x^10 +x^8 +x^2 +1
    (x^46 +x^45 +x^40 +x^39 +x^38 +x^37 +x^36 +x^35 +x^34 +x^33 +x^16 +x^15 +x^12 +x^11 +x^10 +x^9 +1)^2
    (x^23 +x^22 +x^20 +x^16 +x^8 +x^7 +x^6 +x^4 +1)^2
    (x +1)^2
f_142: x^141 +x^137 +x^129 +x^113 +x^109 +x^105 +x^97 +x^77 +x^73 +x^65 +x^13 +x^9 +x
    (x^35 +x^34 +x^32 +x^28 +x^27 +x^26 +x^24 +x^19 +x^18 +x^16 +x^3 +x^2 +1)^4
    (x)^1
f_143: x^142 +x^140 +x^136 +x^128 +x^112 +x^110 +x^108 +x^104 +x^96 +x^78 +x^76 +x^72 +x^64 +x^14 +x^12 +x^8 +1
    (x^60 +x^59 +x^57 +x^53 +x^52 +x^51 +x^48 +x^46 +x^42 +x^38 +x^35 +x^34 +x^31 +x^30 +x^28 +x^27 +x^26 +x^25 +x^24 +x^22 +x^21 +x^18 +x^15 +x^11 +x^4 +x^3 +1)^2
    (x^6 +x^5 +x^4 +x +1)^2
    (x^5 +x^4 +x^2 +x +1)^2
f_144: x^143 +x^111 +x^79 +x^15
    (x^3 +x +1)^32
    (x +1)^32
    (x)^15
f_145: x^144 +x^142 +x^140 +x^136 +x^128 +x^110 +x^108 +x^104 +x^96 +x^80 +x^78 +x^76 +x^72 +x^64 +x^16 +x^14 +x^12 +x^8 +1
    (x^14 +x^13 +x^12 +x^11 +x^8 +x^6 +x^5 +x^4 +x^3 +x +1)^2
    (x^14 +x^13 +x^12 +x^9 +x^8 +x +1)^2
    (x^14 +x^12 +x^11 +x^10 +x^9 +x^8 +x^7 +x^6 +x^4 +x^3 +x^2 +x +1)^2
    (x^14 +x^10 +x^9 +x^7 +x^6 +x^5 +x^4 +x^3 +x^2 +x +1)^2
    (x^14 +x^9 +x^6 +x^5 +x^4 +x +1)^2
    (x^2 +x +1)^2
f_146: x^145 +x^141 +x^137 +x^129 +x^109 +x^105 +x^97 +x^81 +x^77 +x^73 +x^65 +x^17 +x^13 +x^9 +x
    (x^9 +x^8 +x^7 +x^5 +1)^4
    (x^9 +x^8 +x^7 +x^2 +1)^4
    (x^9 +x^8 +x^5 +x^4 +1)^4
    (x^9 +x^6 +x^5 +x^3 +1)^4
    (x)^1
f_147: x^146 +x^144 +x^140 +x^138 +x^136 +x^130 +x^128 +x^108 +x^106 +x^104 +x^98 +x^96 +x^82 +x^80 +x^76 +x^74 +x^72 +x^66 +x^64 +x^18 +x^16 +x^12 +x^10 +x^8 +x^2 +1
    (x^42 +x^38 +x^35 +x^34 +x^33 +x^29 +x^27 +x^25 +x^22 +x^21 +x^18 +x^14 +x^11 +x^9 +x^6 +x^5 +1)^2
    (x^21 +x^19 +x^17 +x^14 +x^11 +x^10 +x^9 +x^7 +x^3 +x^2 +1)^2
    (x^6 +x^5 +1)^2
    (x^3 +x^2 +1)^2
    (x +1)^2
f_148: x^147 +x^139 +x^131 +x^107 +x^99 +x^83 +x^75 +x^67 +x^19 +x^11 +x^3
    (x^18 +x^17 +x^16 +x^13 +x^12 +x^10 +x^9 +x^8 +x^2 +x +1)^8
    (x)^3
f_149: x^148 +x^146 +x^144 +x^138 +x^136 +x^132 +x^130 +x^128 +x^106 +x^104 +x^100 +x^98 +x^96 +x^84 +x^82 +x^80 +x^74 +x^72 +x^68 +x^66 +x^64 +x^20 +x^18 +x^16 +x^10 +x^8 +x^4 +x^2 +1
    (x^74 +x^73 +x^72 +x^69 +x^68 +x^66 +x^65 +x^64 +x^53 +x^52 +x^50 +x^49 +x^48 +x^42 +x^41 +x^40 +x^37 +x^36 +x^34 +x^33 +x^32 +x^10 +x^9 +x^8 +x^5 +x^4 +x^2 +x +1)^2
f_150: x^149 +x^145 +x^137 +x^133 +x^129 +x^105 +x^101 +x^97 +x^85 +x^81 +x^73 +x^69 +x^65 +x^21 +x^17 +x^9 +x^5 +x
    (x^20 +x^15 +x^13 +x^12 +x^9 +x^5 +x^4 +x^3 +1)^4
    (x^10 +x^6 +x^5 +x^3 +x^2 +x +1)^4
    (x^4 +x^3 +1)^4
    (x^2 +x +1)^4
    (x +1)^4
    (x)^1
f_151: x^150 +x^148 +x^144 +x^136 +x^134 +x^132 +x^128 +x^104 +x^102 +x^100 +x^96 +x^86 +x^84 +x^80 +x^72 +x^70 +x^68 +x^64 +x^22 +x^20 +x^16 +x^8 +x^6 +x^4 +1
    (x^15 +x^14 +x^11 +x^9 +x^5 +x^2 +1)^2
    (x^15 +x^13 +x^12 +x^11 +x^8 +x^6 +x^4 +x^3 +1)^2
    (x^15 +x^13 +x^10 +x^9 +x^8 +x^7 +x^3 +x^2 +1)^2
    (x^15 +x^9 +x^7 +x^3 +1)^2
    (x^15 +x^5 +x^4 +x^2 +1)^2
f_152: x^151 +x^135 +x^103 +x^87 +x^71 +x^23 +x^7
    (x^9 +x^8 +x^6 +x^5 +x^4 +x +1)^16
    (x)^7
f_153: x^152 +x^150 +x^148 +x^144 +x^134 +x^132 +x^128 +x^102 +x^100 +x^96 +x^88 +x^86 +x^84 +x^80 +x^70 +x^68 +x^64 +x^24 +x^22 +x^20 +x^16 +x^6 +x^4 +1
    (x^24 +x^21 +x^19 +x^17 +x^15 +x^13 +x^11 +x^8 +x^6 +x^5 +x^3 +x^2 +1)^2
    (x^24 +x^12 +x^9 +x^8 +x^7 +x^6 +x^5 +x^4 +x^3 +x^2 +1)^2
    (x^8 +x^7 +x^3 +x^2 +1)^2
    (x^8 +x^4 +x^3 +x^2 +1)^2
    (x^4 +x^3 +x^2 +x +1)^2
    (x^4 +x +1)^2
    (x^3 +x +1)^2
    (x +1)^2
f_154: x^153 +x^149 +x^145 +x^133 +x^129 +x^101 +x^97 +x^89 +x^85 +x^81 +x^69 +x^65 +x^25 +x^21 +x^17 +x^5 +x
    (x^30 +x^29 +x^27 +x^26 +x^25 +x^23 +x^22 +x^21 +x^18 +x^17 +x^16 +x^15 +x^14 +x^12 +x^9 +x^7 +x^6 +x^5 +1)^4
    (x^5 +x^4 +x^2 +x +1)^4
    (x^3 +x^2 +1)^4
    (x)^1
f_155: x^154 +x^152 +x^148 +x^146 +x^144 +x^132 +x^130 +x^128 +x^100 +x^98 +x^96 +x^90 +x^88 +x^84 +x^82 +x^80 +x^68 +x^66 +x^64 +x^26 +x^24 +x^20 +x^18 +x^16 +x^4 +x^2 +1
    (x^20 +x^19 +x^18 +x^17 +x^15 +x^14 +x^13 +x^12 +x^11 +x^10 +x^6 +x^5 +x^4 +x^3 +1)^2
    (x^20 +x^18 +x^17 +x^16 +x^14 +x^9 +x^6 +x^4 +x^3 +x^2 +1)^2
    (x^20 +x^16 +x^14 +x^11 +x^7 +x^6 +x^4 +x^2 +1)^2
    (x^5 +x^4 +x^3 +x^2 +1)^2
    (x^5 +x^3 +1)^2
    (x^5 +x^2 +1)^2
    (x^2 +x +1)^2
f_156: x^155 +x^147 +x^131 +x^99 +x^91 +x^83 +x^67 +x^27 +x^19 +x^3
    (x^12 +x^11 +x^8 +x^7 +x^6 +x^5 +x^4 +x^3 +1)^8
    (x^6 +x^5 +x^4 +x +1)^8
    (x +1)^8
    (x)^3
f_157: x^156 +x^154 +x^152 +x^146 +x^144 +x^130 +x^128 +x^98 +x^96 +x^92 +x^90 +x^88 +x^82 +x^80 +x^66 +x^64 +x^28 +x^26 +x^24 +x^18 +x^16 +x^2 +1
    (x^26 +x^25 +x^24 +x^23 +x^21 +x^20 +x^17 +x^16 +x^14 +x^10 +x^9 +x^7 +x^6 +x^3 +x^2 +x +1)^2
    (x^26 +x^23 +x^18 +x^17 +x^16 +x^15 +x^12 +x^11 +x^10 +x^9 +x^8 +x^7 +x^6 +x^5 +x^3 +x +1)^2
    (x^26 +x^22 +x^18 +x^17 +x^15 +x^14 +x^9 +x^8 +x^6 +x^4 +x^3 +x +1)^2
f_158: x^157 +x^153 +x^145 +x^129 +x^97 +x^93 +x^89 +x^81 +x^65 +x^29 +x^25 +x^17 +x
    (x^39 +x^38 +x^36 +x^32 +x^24 +x^23 +x^22 +x^20 +x^16 +x^7 +x^6 +x^4 +1)^4
    (x)^1
f_159: x^158 +x^156 +x^152 +x^144 +x^128 +x^96 +x^94 +x^92 +x^88 +x^80 +x^64 +x^30 +x^28 +x^24 +x^16 +1
    (x^52 +x^51 +x^48 +x^47 +x^46 +x^45 +x^44 +x^43 +x^40 +x^39 +x^38 +x^37 +x^34 +x^33 +x^10 +x^9 +x^4 +x^3 +1)^2
    (x^26 +x^25 +x^24 +x^21 +x^20 +x^18 +x^17 +x^16 +x^5 +x^4 +x^2 +x +1)^2
    (x +1)^2
f_160: x^159 +x^95 +x^31
    (x^2 +x +1)^64
    (x)^31
f_161: x^160 +x^158 +x^156 +x^152 +x^144 +x^128 +x^94 +x^92 +x^88 +x^80 +x^64 +x^32 +x^30 +x^28 +x^24 +x^16 +1
    (x^33 +x^32 +x^31 +x^30 +x^27 +x^26 +x^25 +x^20 +x^19 +x^18 +x^15 +x^14 +x^13 +x^12 +x^11 +x^7 +x^6 +x^5 +x^4 +x^3 +1)^2
    (x^33 +x^31 +x^30 +x^29 +x^27 +x^25 +x^22 +x^19 +x^10 +x^9 +x^8 +x^5 +x^4 +x^3 +1)^2
    (x^11 +x^10 +x^8 +x^4 +x^3 +x^2 +1)^2
    (x^3 +x^2 +1)^2
f_162: x^161 +x^157 +x^153 +x^145 +x^129 +x^93 +x^89 +x^81 +x^65 +x^33 +x^29 +x^25 +x^17 +x
    (x^27 +x^25 +x^21 +x^19 +x^17 +x^5 +x^3 +x +1)^4
    (x^9 +x^7 +x^5 +x +1)^4
    (x^3 +x +1)^4
    (x +1)^4
    (x)^1
f_163: x^162 +x^160 +x^156 +x^154 +x^152 +x^146 +x^144 +x^130 +x^128 +x^92 +x^90 +x^88 +x^82 +x^80 +x^66 +x^64 +x^34 +x^32 +x^28 +x^26 +x^24 +x^18 +x^16 +x^2 +1
    (x^81 +x^80 +x^78 +x^77 +x^76 +x^73 +x^72 +x^65 +x^64 +x^46 +x^45 +x^44 +x^41 +x^40 +x^33 +x^32 +x^17 +x^16 +x^14 +x^13 +x^12 +x^9 +x^8 +x +1)^2
f_164: x^163 +x^155 +x^147 +x^131 +x^91 +x^83 +x^67 +x^35 +x^27 +x^19 +x^3
    (x^10 +x^9 +x^4 +x +1)^8
    (x^10 +x^8 +x^7 +x^4 +x^3 +x +1)^8
    (x)^3
f_165: x^164 +x^162 +x^160 +x^154 +x^152 +x^148 +x^146 +x^144 +x^132 +x^130 +x^128 +x^90 +x^88 +x^84 +x^82 +x^80 +x^68 +x^66 +x^64 +x^36 +x^34 +x^32 +x^26 +x^24 +x^20 +x^18 +x^16 +x^4 +x^2 +1
    (x^20 +x^19 +x^18 +x^16 +x^15 +x^10 +x^9 +x^7 +x^4 +x^2 +1)^2
    (x^20 +x^19 +x^17 +x^15 +x^14 +x^12 +x^11 +x^8 +x^6 +x^5 +x^4 +x^3 +1)^2
    (x^20 +x^17 +x^15 +x^14 +x^9 +x^6 +x^5 +x^2 +1)^2
    (x^5 +x^4 +x^3 +x +1)^2
    (x^5 +x^4 +x^2 +x +1)^2
    (x^5 +x^3 +x^2 +x +1)^2
    (x^4 +x^3 +1)^2
    (x^2 +x +1)^2
    (x +1)^2
f_166: x^165 +x^161 +x^153 +x^149 +x^145 +x^133 +x^129 +x^89 +x^85 +x^81 +x^69 +x^65 +x^37 +x^33 +x^25 +x^21 +x^17 +x^5 +x
    (x^41 +x^40 +x^38 +x^37 +x^36 +x^33 +x^32 +x^22 +x^21 +x^20 +x^17 +x^16 +x^9 +x^8 +x^6 +x^5 +x^4 +x +1)^4
    (x)^1
f_167: x^166 +x^164 +x^160 +x^152 +x^150 +x^148 +x^144 +x^134 +x^132 +x^128 +x^88 +x^86 +x^84 +x^80 +x^70 +x^68 +x^64 +x^38 +x^36 +x^32 +x^24 +x^22 +x^20 +x^16 +x^6 +x^4 +1
    (x^83 +x^82 +x^80 +x^76 +x^75 +x^74 +x^72 +x^67 +x^66 +x^64 +x^44 +x^43 +x^42 +x^40 +x^35 +x^34 +x^32 +x^19 +x^18 +x^16 +x^12 +x^11 +x^10 +x^8 +x^3 +x^2 +1)^2
f_168: x^167 +x^151 +x^135 +x^87 +x^71 +x^39 +x^23 +x^7
    (x^6 +x^5 +1)^16
    (x^3 +x^2 +1)^16
    (x +1)^16
    (x)^7
f_169: x^168 +x^166 +x^164 +x^160 +x^150 +x^148 +x^144 +x^136 +x^134 +x^132 +x^128 +x^86 +x^84 +x^80 +x^72 +x^70 +x^68 +x^64 +x^40 +x^38 +x^36 +x^32 +x^22 +x^20 +x^16 +x^8 +x^6 +x^4 +1
    (x^78 +x^74 +x^66 +x^65 +x^63 +x^61 +x^57 +x^52 +x^50 +x^49 +x^46 +x^44 +x^42 +x^39 +x^37 +x^36 +x^34 +x^26 +x^25 +x^23 +x^22 +x^21 +x^18 +x^17 +x^14 +x^13 +x^12 +x^11 +x^10 +x^9 +x^7 +x^6 +x^5 +x^4 +x^3 +x +1)^2
    (x^6 +x^5 +x^4 +x +1)^2
f_170: x^169 +x^165 +x^161 +x^149 +x^145 +x^137 +x^133 +x^129 +x^85 +x^81 +x^73 +x^69 +x^65 +x^41 +x^37 +x^33 +x^21 +x^17 +x^9 +x^5 +x
    (x^8 +x^7 +x^6 +x^5 +x^4 +x^2 +1)^4
    (x^8 +x^7 +x^6 +x^4 +x^3 +x^2 +1)^4
    (x^8 +x^7 +x^5 +x^3 +1)^4
    (x^8 +x^6 +x^5 +x^4 +1)^4
    (x^4 +x^3 +x^2 +x +1)^4
    (x^4 +x +1)^4
    (x^2 +x +1)^4
    (x)^1
f_171: x^170 +x^168 +x^164 +x^162 +x^160 +x^148 +x^146 +x^144 +x^138 +x^136 +x^132 +x^130 +x^128 +x^84 +x^82 +x^80 +x^74 +x^72 +x^68 +x^66 +x^64 +x^42 +x^40 +x^36 +x^34 +x^32 +x^20 +x^18 +x^16 +x^10 +x^8 +x^4 +x^2 +1
    (x^9 +x^8 +x^7 +x^6 +x^5 +x +1)^2
    (x^9 +x^8 +x^6 +x^5 +x^4 +x +1)^2
    (x^9 +x^8 +x^6 +x^4 +x^3 +x +1)^2
    (x^9 +x^8 +x^4 +x^3 +x^2 +x +1)^2
    (x^9 +x^7 +x^6 +x^4 +x^3 +x +1)^2
    (x^9 +x^7 +x^2 +x +1)^2
    (x^9 +x^6 +x^5 +x^3 +x^2 +x +1)^2
    (x^9 +x^6 +x^4 +x^3 +x^2 +x +1)^2
    (x^9 +x^6 +x^3 +x +1)^2
    (x^3 +x +1)^2
    (x +1)^2
f_172: x^171 +x^163 +x^147 +x^139 +x^131 +x^83 +x^75 +x^67 +x^43 +x^35 +x^19 +x^11 +x^3
    (x^7 +x^6 +x^5 +x^4 +x^2 +x +1)^8
    (x^7 +x^5 +x^4 +x^3 +x^2 +x +1)^8
    (x^7 +x +1)^8
    (x)^3
f_173: x^172 +x^170 +x^168 +x^162 +x^160 +x^146 +x^144 +x^140 +x^138 +x^136 +x^130 +x^128 +x^82 +x^80 +x^76 +x^74 +x^72 +x^66 +x^64 +x^44 +x^42 +x^40 +x^34 +x^32 +x^18 +x^16 +x^12 +x^10 +x^8 +x^2 +1
    (x^86 +x^85 +x^84 +x^81 +x^80 +x^73 +x^72 +x^70 +x^69 +x^68 +x^65 +x^64 +x^41 +x^40 +x^38 +x^37 +x^36 +x^33 +x^32 +x^22 +x^21 +x^20 +x^17 +x^16 +x^9 +x^8 +x^6 +x^5 +x^4 +x +1)^2
f_174: x^173 +x^169 +x^161 +x^145 +x^141 +x^137 +x^129 +x^81 +x^77 +x^73 +x^65 +x^45 +x^41 +x^33 +x^17 +x^13 +x^9 +x
    (x^28 +x^27 +x^24 +x^23 +x^22 +x^21 +x^20 +x^19 +x^16 +x^15 +x^14 +x^13 +x^12 +x^11 +x^10 +x^9 +x^8 +x^7 +x^6 +x^5 +x^4 +x^3 +1)^4
    (x^14 +x^13 +x^12 +x^9 +x^8 +x +1)^4
    (x +1)^4
    (x)^1
f_175: x^174 +x^172 +x^168 +x^160 +x^144 +x^142 +x^140 +x^136 +x^128 +x^80 +x^78 +x^76 +x^72 +x^64 +x^46 +x^44 +x^40 +x^32 +x^16 +x^14 +x^12 +x^8 +1
    (x^60 +x^55 +x^53 +x^52 +x^49 +x^41 +x^39 +x^37 +x^36 +x^35 +x^30 +x^29 +x^27 +x^26 +x^23 +x^21 +x^20 +x^19 +x^18 +x^12 +x^10 +x^9 +x^6 +x^5 +1)^2
    (x^12 +x^11 +x^9 +x^7 +x^6 +x^5 +1)^2
    (x^10 +x^6 +x^5 +x^3 +x^2 +x +1)^2
    (x^3 +x^2 +1)^2
    (x^2 +x +1)^2
f_176: x^175 +x^143 +x^79 +x^47 +x^15
    (x^5 +x^4 +x^2 +x +1)^32
    (x)^15
f_177: x^176 +x^174 +x^172 +x^168 +x^160 +x^142 +x^140 +x^136 +x^128 +x^78 +x^76 +x^72 +x^64 +x^48 +x^46 +x^44 +x^40 +x^32 +x^14 +x^12 +x^8 +1
    (x^29 +x^28 +x^27 +x^23 +x^22 +x^20 +x^19 +x^17 +x^15 +x^12 +x^10 +x^9 +x^7 +x +1)^2
    (x^29 +x^28 +x^26 +x^25 +x^24 +x^18 +x^17 +x^16 +x^2 +x +1)^2
    (x^29 +x^27 +x^26 +x^24 +x^23 +x^20 +x^16 +x^15 +x^14 +x^12 +x^10 +x^9 +x^8 +x^6 +x^5 +x^4 +x^2 +x +1)^2
    (x +1)^2
f_178: x^177 +x^173 +x^169 +x^161 +x^141 +x^137 +x^129 +x^77 +x^73 +x^65 +x^49 +x^45 +x^41 +x^33 +x^13 +x^9 +x
    (x^11 +x^10 +x^9 +x^7 +x^6 +x^4 +x^3 +x^2 +1)^4
    (x^11 +x^10 +x^8 +x^7 +x^6 +x^5 +x^4 +x^2 +1)^4
    (x^11 +x^10 +x^7 +x^6 +x^5 +x^3 +1)^4
    (x^11 +x^9 +x^8 +x^6 +x^5 +x^4 +x^3 +x^2 +1)^4
    (x)^1
f_179: x^178 +x^176 +x^172 +x^170 +x^168 +x^162 +x^160 +x^140 +x^138 +x^136 +x^130 +x^128 +x^76 +x^74 +x^72 +x^66 +x^64 +x^50 +x^48 +x^44 +x^42 +x^40 +x^34 +x^32 +x^12 +x^10 +x^8 +x^2 +1
    (x^89 +x^88 +x^86 +x^85 +x^84 +x^81 +x^80 +x^70 +x^69 +x^68 +x^65 +x^64 +x^38 +x^37 +x^36 +x^33 +x^32 +x^25 +x^24 +x^22 +x^21 +x^20 +x^17 +x^16 +x^6 +x^5 +x^4 +x +1)^2
f_180: x^179 +x^171 +x^163 +x^139 +x^131 +x^75 +x^67 +x^51 +x^43 +x^35 +x^11 +x^3
    (x^12 +x^9 +x^7 +x^5 +x^4 +x^3 +1)^8
    (x^4 +x^3 +1)^8
    (x^3 +x +1)^8
    (x^2 +x +1)^8
    (x +1)^8
    (x)^3
f_181: x^180 +x^178 +x^176 +x^170 +x^168 +x^164 +x^162 +x^160 +x^138 +x^136 +x^132 +x^130 +x^128 +x^74 +x^72 +x^68 +x^66 +x^64 +x^52 +x^50 +x^48 +x^42 +x^40 +x^36 +x^34 +x^32 +x^10 +x^8 +x^4 +x^2 +1
    (x^90 +x^89 +x^88 +x^85 +x^84 +x^82 +x^81 +x^80 +x^69 +x^68 +x^66 +x^65 +x^64 +x^37 +x^36 +x^34 +x^33 +x^32 +x^26 +x^25 +x^24 +x^21 +x^20 +x^18 +x^17 +x^16 +x^5 +x^4 +x^2 +x +1)^2
f_182: x^181 +x^177 +x^169 +x^165 +x^161 +x^137 +x^133 +x^129 +x^73 +x^69 +x^65 +x^53 +x^49 +x^41 +x^37 +x^33 +x^9 +x^5 +x
    (x^12 +x^11 +x^10 +x^9 +x^8 +x^6 +x^5 +x^4 +1)^4
    (x^12 +x^10 +x^8 +x^6 +x^3 +x^2 +1)^4
    (x^12 +x^9 +x^3 +x^2 +1)^4
    (x^6 +x^5 +x^4 +x +1)^4
    (x^3 +x^2 +1)^4
    (x)^1
f_183: x^182 +x^180 +x^176 +x^168 +x^166 +x^164 +x^160 +x^136 +x^134 +x^132 +x^128 +x^72 +x^70 +x^68 +x^64 +x^54 +x^52 +x^48 +x^40 +x^38 +x^36 +x^32 +x^8 +x^6 +x^4 +1
    (x^60 +x^59 +x^56 +x^55 +x^54 +x^53 +x^52 +x^51 +x^48 +x^47 +x^46 +x^45 +x^44 +x^43 +x^42 +x^41 +x^40 +x^39 +x^38 +x^37 +x^36 +x^35 +x^32 +x^31 +x^30 +x^29 +x^28 +x^27 +x^26 +x^25 +x^24 +x^23 +x^22 +x^21 +x^20 +x^19 +x^18 +x^17 +x^16 +x^15 +x^14 +x^13 +x^12 +x^11 +x^10 +x^9 +x^8 +x^7 +x^6 +x^5 +x^4 +x^3 +1)^2
    (x^30 +x^29 +x^28 +x^25 +x^24 +x^17 +x^16 +x +1)^2
    (x +1)^2
f_184: x^183 +x^167 +x^135 +x^71 +x^55 +x^39 +x^7
    (x^11 +x^10 +x^8 +x^4 +x^3 +x^2 +1)^16
    (x)^7
f_185: x^184 +x^182 +x^180 +x^176 +x^166 +x^164 +x^160 +x^134 +x^132 +x^128 +x^70 +x^68 +x^64 +x^56 +x^54 +x^52 +x^48 +x^38 +x^36 +x^32 +x^6 +x^4 +1
    (x^18 +x^17 +x^16 +x^13 +x^12 +x^10 +x^9 +x^8 +x^2 +x +1)^2
    (x^18 +x^17 +x^16 +x^13 +x^11 +x^8 +x^7 +x^6 +x^3 +x +1)^2
    (x^18 +x^17 +x^15 +x^12 +x^10 +x^7 +x^6 +x^3 +x^2 +x +1)^2
    (x^18 +x^17 +x^11 +x^9 +x^8 +x^7 +x^4 +x^3 +x^2 +x +1)^2
    (x^18 +x^15 +x^12 +x^11 +x^8 +x^6 +x^4 +x +1)^2
    (x^2 +x +1)^2
f_186: x^185 +x^181 +x^177 +x^165 +x^161 +x^133 +x^129 +x^69 +x^65 +x^57 +x^53 +x^49 +x^37 +x^33 +x^5 +x
    (x^10 +x^9 +x^8 +x^7 +x^6 +x^2 +1)^4
    (x^10 +x^8 +x^4 +x^3 +1)^4
    (x^10 +x^5 +x^3 +x^2 +1)^4
    (x^5 +x^4 +x^3 +x^2 +1)^4
    (x^5 +x^3 +1)^4
    (x^5 +x^2 +1)^4
    (x +1)^4
    (x)^1
f_187: x^186 +x^184 +x^180 +x^178 +x^176 +x^164 +x^162 +x^160 +x^132 +x^130 +x^128 +x^68 +x^66 +x^64 +x^58 +x^56 +x^52 +x^50 +x^48 +x^36 +x^34 +x^32 +x^4 +x^2 +1
    (x^40 +x^39 +x^35 +x^34 +x^32 +x^31 +x^30 +x^29 +x^27 +x^26 +x^25 +x^24 +x^22 +x^21 +x^20 +x^19 +x^17 +x^14 +x^12 +x^9 +x^8 +x^7 +x^6 +x^5 +x^3 +x^2 +1)^2
    (x^40 +x^37 +x^36 +x^34 +x^31 +x^30 +x^29 +x^28 +x^27 +x^25 +x^23 +x^22 +x^20 +x^17 +x^8 +x^6 +x^5 +x^4 +x^3 +x^2 +1)^2
    (x^5 +x^4 +x^2 +x +1)^2
    (x^4 +x^3 +x^2 +x +1)^2
    (x^4 +x +1)^2
f_188: x^187 +x^179 +x^163 +x^131 +x^67 +x^59 +x^51 +x^35 +x^3
    (x^23 +x^22 +x^20 +x^16 +x^8 +x^7 +x^6 +x^4 +1)^8
    (x)^3
f_189: x^188 +x^186 +x^184 +x^178 +x^176 +x^162 +x^160 +x^130 +x^128 +x^66 +x^64 +x^60 +x^58 +x^56 +x^50 +x^48 +x^34 +x^32 +x^2 +1
    (x^18 +x^15 +x^14 +x^13 +x^12 +x^10 +x^7 +x^5 +x^4 +x^2 +1)^2
    (x^18 +x^15 +x^14 +x^13 +x^10 +x^9 +x^3 +x^2 +1)^2
    (x^18 +x^14 +x^10 +x^9 +x^7 +x^6 +x^5 +x^3 +1)^2
    (x^9 +x^7 +x^5 +x +1)^2
    (x^6 +x^5 +x^4 +x^2 +1)^2
    (x^6 +x^5 +x^3 +x^2 +1)^2
    (x^6 +x^5 +1)^2
    (x^6 +x^3 +1)^2
    (x^3 +x^2 +1)^2
    (x^3 +x +1)^2
    (x +1)^2
f_190: x^189 +x^185 +x^177 +x^161 +x^129 +x^65 +x^61 +x^57 +x^49 +x^33 +x
    (x^36 +x^35 +x^33 +x^31 +x^30 +x^28 +x^27 +x^25 +x^23 +x^22 +x^17 +x^11 +x^10 +x^9 +x^4 +x^3 +1)^4
    (x^9 +x^8 +x^6 +x^5 +x^4 +x +1)^4
    (x^2 +x +1)^4
    (x)^1
f_191: x^190 +x^188 +x^184 +x^176 +x^160 +x^128 +x^64 +x^62 +x^60 +x^56 +x^48 +x^32 +1
    (x^95 +x^94 +x^92 +x^88 +x^80 +x^64 +x^32 +x^31 +x^30 +x^28 +x^24 +x^16 +1)^2
f_192: x^191 +x^63
    (x +1)^128
    (x)^63
f_193: x^192 +x^190 +x^188 +x^184 +x^176 +x^160 +x^128 +x^62 +x^60 +x^56 +x^48 +x^32 +1
    (x^48 +x^47 +x^46 +x^44 +x^43 +x^42 +x^37 +x^34 +x^33 +x^31 +x^28 +x^27 +x^26 +x^25 +x^24 +x^21 +x^18 +x^17 +x^15 +x^10 +x^6 +x^4 +x^3 +x +1)^2
    (x^48 +x^43 +x^41 +x^38 +x^35 +x^34 +x^30 +x^27 +x^26 +x^22 +x^18 +x^16 +x^12 +x^7 +x^2 +x +1)^2
f_194: x^193 +x^189 +x^185 +x^177 +x^161 +x^129 +x^61 +x^57 +x^49 +x^33 +x
    (x^24 +x^23 +x^22 +x^20 +x^19 +x^18 +x^17 +x^15 +x^13 +x^10 +x^9 +x^5 +x^3 +x +1)^4
    (x^24 +x^19 +x^16 +x^15 +x^14 +x^12 +x^11 +x^10 +x^5 +x^4 +x^2 +x +1)^4
    (x)^1
f_195: x^194 +x^192 +x^188 +x^186 +x^184 +x^178 +x^176 +x^162 +x^160 +x^130 +x^128 +x^60 +x^58 +x^56 +x^50 +x^48 +x^34 +x^32 +x^2 +1
    (x^12 +x^11 +x^10 +x^9 +x^8 +x^7 +x^6 +x^3 +1)^2
    (x^12 +x^11 +x^8 +x^7 +x^6 +x^5 +x^4 +x^3 +1)^2
    (x^12 +x^10 +x^8 +x^7 +x^6 +x^2 +1)^2
    (x^12 +x^10 +x^7 +x^6 +x^3 +x^2 +1)^2
    (x^12 +x^8 +x^7 +x^4 +1)^2
    (x^6 +x^5 +x^4 +x +1)^2
    (x^6 +x^5 +x^2 +x +1)^2
    (x^6 +x^4 +x^3 +x +1)^2
    (x^6 +x^4 +x^2 +x +1)^2
    (x^6 +x +1)^2
    (x^4 +x^3 +1)^2
    (x^2 +x +1)^2
    (x +1)^2
f_196: x^195 +x^187 +x^179 +x^163 +x^131 +x^59 +x^51 +x^35 +x^3
    (x^21 +x^19 +x^17 +x^14 +x^11 +x^10 +x^9 +x^7 +x^3 +x^2 +1)^8
    (x^3 +x^2 +1)^8
    (x)^3
f_197: x^196 +x^194 +x^192 +x^186 +x^184 +x^180 +x^178 +x^176 +x^164 +x^162 +x^160 +x^132 +x^130 +x^128 +x^58 +x^56 +x^52 +x^50 +x^48 +x^36 +x^34 +x^32 +x^4 +x^2 +1
    (x^98 +x^97 +x^96 +x^93 +x^92 +x^90 +x^89 +x^88 +x^82 +x^81 +x^80 +x^66 +x^65 +x^64 +x^29 +x^28 +x^26 +x^25 +x^24 +x^18 +x^17 +x^16 +x^2 +x +1)^2
f_198: x^197 +x^193 +x^185 +x^181 +x^177 +x^165 +x^161 +x^133 +x^129 +x^57 +x^53 +x^49 +x^37 +x^33 +x^5 +x
    (x^15 +x^13 +x^12 +x^9 +x^4 +x +1)^4
    (x^15 +x^13 +x^9 +x^6 +x^2 +x +1)^4
    (x^5 +x^4 +x^3 +x +1)^4
    (x^5 +x^4 +x^2 +x +1)^4
    (x^5 +x^3 +x^2 +x +1)^4
    (x^3 +x +1)^4
    (x +1)^4
    (x)^1
f_199: x^198 +x^196 +x^192 +x^184 +x^182 +x^180 +x^176 +x^166 +x^164 +x^160 +x^134 +x^132 +x^128 +x^56 +x^54 +x^52 +x^48 +x^38 +x^36 +x^32 +x^6 +x^4 +1
    (x^99 +x^98 +x^96 +x^92 +x^91 +x^90 +x^88 +x^83 +x^82 +x^80 +x^67 +x^66 +x^64 +x^28 +x^27 +x^26 +x^24 +x^19 +x^18 +x^16 +x^3 +x^2 +1)^2
f_200: x^199 +x^183 +x^167 +x^135 +x^55 +x^39 +x^7
    (x^10 +x^6 +x^5 +x^3 +x^2 +x +1)^16
    (x^2 +x +1)^16
    (x)^7
f_201: x^200 +x^198 +x^196 +x^192 +x^182 +x^180 +x^176 +x^168 +x^166 +x^164 +x^160 +x^136 +x^134 +x^132 +x^128 +x^54 +x^52 +x^48 +x^40 +x^38 +x^36 +x^32 +x^8 +x^6 +x^4 +1
    (x^33 +x^32 +x^30 +x^29 +x^28 +x^26 +x^21 +x^19 +x^17 +x^16 +x^15 +x^10 +x^9 +x^7 +x^2 +x +1)^2
    (x^33 +x^32 +x^30 +x^29 +x^28 +x^25 +x^24 +x^17 +x^16 +x +1)^2
    (x^33 +x^30 +x^28 +x^27 +x^21 +x^20 +x^19 +x^17 +x^16 +x^10 +x^4 +x +1)^2
    (x +1)^2
f_202: x^201 +x^197 +x^193 +x^181 +x^177 +x^169 +x^165 +x^161 +x^137 +x^133 +x^129 +x^53 +x^49 +x^41 +x^37 +x^33 +x^9 +x^5 +x
    (x^50 +x^49 +x^48 +x^45 +x^44 +x^42 +x^41 +x^40 +x^34 +x^33 +x^32 +x^13 +x^12 +x^10 +x^9 +x^8 +x^2 +x +1)^4
    (x)^1
f_203: x^202 +x^200 +x^196 +x^194 +x^192 +x^180 +x^178 +x^176 +x^170 +x^168 +x^164 +x^162 +x^160 +x^138 +x^136 +x^132 +x^130 +x^128 +x^52 +x^50 +x^48 +x^42 +x^40 +x^36 +x^34 +x^32 +x^10 +x^8 +x^4 +x^2 +1
    (x^84 +x^83 +x^81 +x^70 +x^69 +x^67 +x^66 +x^65 +x^63 +x^62 +x^61 +x^59 +x^56 +x^53 +x^52 +x^50 +x^38 +x^37 +x^31 +x^28 +x^27 +x^25 +x^24 +x^23 +x^22 +x^19 +x^6 +x^5 +1)^2
    (x^14 +x^13 +x^12 +x^9 +x^8 +x +1)^2
    (x^3 +x^2 +1)^2
f_204: x^203 +x^195 +x^179 +x^171 +x^163 +x^139 +x^131 +x^51 +x^43 +x^35 +x^11 +x^3
    (x^8 +x^7 +x^3 +x^2 +1)^8
    (x^8 +x^4 +x^3 +x^2 +1)^8
    (x^4 +x^3 +x^2 +x +1)^8
    (x^4 +x +1)^8
    (x +1)^8
    (x)^3
f_205: x^204 +x^202 +x^200 +x^194 +x^192 +x^178 +x^176 +x^172 +x^170 +x^168 +x^162 +x^160 +x^140 +x^138 +x^136 +x^130 +x^128 +x^50 +x^48 +x^44 +x^42 +x^40 +x^34 +x^32 +x^12 +x^10 +x^8 +x^2 +1
    (x^10 +x^9 +x^8 +x^7 +x^6 +x^5 +x^3 +x +1)^2
    (x^10 +x^9 +x^8 +x^3 +x^2 +x +1)^2
    (x^10 +x^9 +x^5 +x +1)^2
    (x^10 +x^9 +x^4 +x +1)^2
    (x^10 +x^8 +x^7 +x^6 +x^5 +x^4 +x^2 +x +1)^2
    (x^10 +x^8 +x^7 +x^4 +x^3 +x +1)^2
    (x^10 +x^8 +x^6 +x^4 +x^2 +x +1)^2
    (x^10 +x^8 +x^5 +x +1)^2
    (x^10 +x^7 +x^6 +x^4 +x^2 +x +1)^2
    (x^10 +x^6 +x^4 +x +1)^2
    (x^2 +x +1)^2
f_206: x^205 +x^201 +x^193 +x^177 +x^173 +x^169 +x^161 +x^141 +x^137 +x^129 +x^49 +x^45 +x^41 +x^33 +x^13 +x^9 +x
    (x^51 +x^50 +x^48 +x^44 +x^43 +x^42 +x^40 +x^35 +x^34 +x^32 +x^12 +x^11 +x^10 +x^8 +x^3 +x^2 +1)^4
    (x)^1
f_207: x^206 +x^204 +x^200 +x^192 +x^176 +x^174 +x^172 +x^168 +x^160 +x^142 +x^140 +x^136 +x^128 +x^48 +x^46 +x^44 +x^40 +x^32 +x^14 +x^12 +x^8 +1
    (x^66 +x^63 +x^62 +x^61 +x^58 +x^55 +x^54 +x^53 +x^48 +x^45 +x^43 +x^42 +x^41 +x^38 +x^36 +x^35 +x^30 +x^28 +x^27 +x^26 +x^23 +x^21 +x^20 +x^19 +x^16 +x^14 +x^13 +x^12 +x^9 +x^7 +x^6 +x^5 +1)^2
    (x^22 +x^21 +x^16 +x^15 +x^14 +x^13 +x^12 +x^11 +x^10 +x^9 +x^6 +x^5 +1)^2
    (x^11 +x^10 +x^8 +x^4 +x^3 +x^2 +1)^2
    (x^3 +x +1)^2
    (x +1)^2
f_208: x^207 +x^175 +x^143 +x^47 +x^15
    (x^6 +x^5 +x^4 +x +1)^32
    (x)^15
f_209: x^208 +x^206 +x^204 +x^200 +x^192 +x^174 +x^172 +x^168 +x^160 +x^144 +x^142 +x^140 +x^136 +x^128 +x^46 +x^44 +x^40 +x^32 +x^16 +x^14 +x^12 +x^8 +1
    (x^45 +x^44 +x^43 +x^42 +x^41 +x^40 +x^38 +x^35 +x^34 +x^32 +x^31 +x^29 +x^28 +x^27 +x^26 +x^25 +x^24 +x^23 +x^19 +x^15 +x^14 +x^12 +x^9 +x^8 +x^6 +x^5 +x^3 +x +1)^2
    (x^45 +x^43 +x^42 +x^38 +x^37 +x^32 +x^30 +x^26 +x^25 +x^24 +x^23 +x^22 +x^21 +x^20 +x^19 +x^18 +x^15 +x^14 +x^13 +x^11 +x^9 +x^8 +x^7 +x^5 +x^4 +x^3 +x^2 +x +1)^2
    (x^9 +x^8 +x^6 +x^5 +x^4 +x +1)^2
    (x^5 +x^4 +x^2 +x +1)^2
f_210: x^209 +x^205 +x^201 +x^193 +x^173 +x^169 +x^161 +x^145 +x^141 +x^137 +x^129 +x^45 +x^41 +x^33 +x^17 +x^13 +x^9 +x
    (x^12 +x^11 +x^9 +x^7 +x^6 +x^5 +1)^4
    (x^12 +x^11 +x^9 +x^7 +x^6 +x^2 +1)^4
    (x^12 +x^10 +x^9 +x^8 +x^4 +x^2 +1)^4
    (x^6 +x^5 +1)^4
    (x^4 +x^3 +1)^4
    (x^3 +x^2 +1)^4
    (x^2 +x +1)^4
    (x +1)^4
    (x)^1
f_211: x^210 +x^208 +x^204 +x^202 +x^200 +x^194 +x^192 +x^172 +x^170 +x^168 +x^162 +x^160 +x^146 +x^144 +x^140 +x^138 +x^136 +x^130 +x^128 +x^44 +x^42 +x^40 +x^34 +x^32 +x^18 +x^16 +x^12 +x^10 +x^8 +x^2 +1
    (x^105 +x^104 +x^102 +x^101 +x^100 +x^97 +x^96 +x^86 +x^85 +x^84 +x^81 +x^80 +x^73 +x^72 +x^70 +x^69 +x^68 +x^65 +x^64 +x^22 +x^21 +x^20 +x^17 +x^16 +x^9 +x^8 +x^6 +x^5 +x^4 +x +1)^2
f_212: x^211 +x^203 +x^195 +x^171 +x^163 +x^147 +x^139 +x^131 +x^43 +x^35 +x^19 +x^11 +x^3
    (x^26 +x^25 +x^24 +x^21 +x^20 +x^18 +x^17 +x^16 +x^5 +x^4 +x^2 +x +1)^8
    (x)^3
f_213: x^212 +x^210 +x^208 +x^202 +x^200 +x^196 +x^194 +x^192 +x^170 +x^168 +x^164 +x^162 +x^160 +x^148 +x^146 +x^144 +x^138 +x^136 +x^132 +x^130 +x^128 +x^42 +x^40 +x^36 +x^34 +x^32 +x^20 +x^18 +x^16 +x^10 +x^8 +x^4 +x^2 +1
    (x^70 +x^69 +x^64 +x^63 +x^62 +x^61 +x^60 +x^59 +x^58 +x^57 +x^54 +x^53 +x^48 +x^47 +x^46 +x^45 +x^44 +x^43 +x^42 +x^41 +x^40 +x^39 +x^36 +x^35 +x^34 +x^33 +x^6 +x^5 +1)^2
    (x^35 +x^34 +x^32 +x^28 +x^27 +x^26 +x^24 +x^19 +x^18 +x^16 +x^3 +x^2 +1)^2
    (x +1)^2
f_214: x^213 +x^209 +x^201 +x^197 +x^193 +x^169 +x^165 +x^161 +x^149 +x^145 +x^137 +x^133 +x^129 +x^41 +x^37 +x^33 +x^21 +x^17 +x^9 +x^5 +x
    (x^53 +x^52 +x^50 +x^49 +x^48 +x^42 +x^41 +x^40 +x^37 +x^36 +x^34 +x^33 +x^32 +x^10 +x^9 +x^8 +x^5 +x^4 +x^2 +x +1)^4
    (x)^1
f_215: x^214 +x^212 +x^208 +x^200 +x^198 +x^196 +x^192 +x^168 +x^166 +x^164 +x^160 +x^150 +x^148 +x^144 +x^136 +x^134 +x^132 +x^128 +x^40 +x^38 +x^36 +x^32 +x^22 +x^20 +x^16 +x^8 +x^6 +x^4 +1
    (x^28 +x^27 +x^26 +x^25 +x^24 +x^22 +x^21 +x^19 +x^17 +x^16 +x^14 +x^13 +x^12 +x^11 +x^10 +x^9 +x^7 +x^2 +1)^2
    (x^28 +x^26 +x^21 +x^19 +x^18 +x^15 +x^14 +x^12 +x^11 +x^10 +x^9 +x^8 +x^7 +x^5 +x^3 +x^2 +1)^2
    (x^28 +x^25 +x^24 +x^23 +x^16 +x^14 +x^12 +x^11 +x^8 +x^7 +x^6 +x^5 +1)^2
    (x^7 +x^6 +x^5 +x^4 +x^2 +x +1)^2
    (x^7 +x^5 +x^4 +x^3 +x^2 +x +1)^2
    (x^7 +x +1)^2
    (x^2 +x +1)^2
f_216: x^215 +x^199 +x^167 +x^151 +x^135 +x^39 +x^23 +x^7
    (x^9 +x^7 +x^5 +x +1)^16
    (x^3 +x +1)^16
    (x +1)^16
    (x)^7
f_217: x^216 +x^214 +x^212 +x^208 +x^198 +x^196 +x^192 +x^166 +x^164 +x^160 +x^152 +x^150 +x^148 +x^144 +x^134 +x^132 +x^128 +x^38 +x^36 +x^32 +x^24 +x^22 +x^20 +x^16 +x^6 +x^4 +1
    (x^15 +x^14 +x^13 +x^12 +x^11 +x^7 +x^6 +x^2 +1)^2
    (x^15 +x^14 +x^12 +x^11 +x^8 +x^6 +x^5 +x^4 +1)^2
    (x^15 +x^14 +x^9 +x^3 +1)^2
    (x^15 +x^13 +x^12 +x^11 +x^8 +x^6 +x^4 +x^2 +1)^2
    (x^15 +x^13 +x^11 +x^10 +x^8 +x^7 +x^6 +x^3 +1)^2
    (x^15 +x^12 +x^11 +x^9 +x^5 +x^4 +1)^2
    (x^5 +x^4 +x^3 +x^2 +1)^2
    (x^5 +x^3 +1)^2
    (x^5 +x^2 +1)^2
    (x^3 +x^2 +1)^2
f_218: x^217 +x^213 +x^209 +x^197 +x^193 +x^165 +x^161 +x^153 +x^149 +x^145 +x^133 +x^129 +x^37 +x^33 +x^25 +x^21 +x^17 +x^5 +x
    (x^18 +x^17 +x^16 +x^15 +x^14 +x^12 +x^11 +x^9 +x^8 +x^7 +x^6 +x^5 +x^2 +x +1)^4
    (x^18 +x^16 +x^15 +x^14 +x^13 +x^12 +x^10 +x^5 +x^4 +x +1)^4
    (x^18 +x^16 +x^12 +x^10 +x^9 +x^8 +x^7 +x^6 +x^5 +x^4 +x^3 +x +1)^4
    (x)^1
f_219: x^218 +x^216 +x^212 +x^210 +x^208 +x^196 +x^194 +x^192 +x^164 +x^162 +x^160 +x^154 +x^152 +x^148 +x^146 +x^144 +x^132 +x^130 +x^128 +x^36 +x^34 +x^32 +x^26 +x^24 +x^20 +x^18 +x^16 +x^4 +x^2 +1
    (x^18 +x^17 +x^16 +x^15 +x^14 +x^13 +x^7 +x^6 +x^5 +x^2 +1)^2
    (x^18 +x^17 +x^16 +x^15 +x^13 +x^8 +x^6 +x^5 +x^4 +x^2 +1)^2
    (x^18 +x^17 +x^14 +x^13 +x^10 +x^9 +x^8 +x^7 +x^6 +x^5 +x^4 +x^3 +1)^2
    (x^18 +x^16 +x^14 +x^13 +x^11 +x^10 +x^4 +x^3 +1)^2
    (x^9 +x^8 +x^7 +x^5 +1)^2
    (x^9 +x^8 +x^7 +x^2 +1)^2
    (x^9 +x^8 +x^5 +x^4 +1)^2
    (x^9 +x^6 +x^5 +x^3 +1)^2
    (x +1)^2
f_220: x^219 +x^211 +x^195 +x^163 +x^155 +x^147 +x^131 +x^35 +x^27 +x^19 +x^3
    (x^20 +x^19 +x^17 +x^15 +x^14 +x^12 +x^11 +x^8 +x^6 +x^5 +x^4 +x^3 +1)^8
    (x^5 +x^4 +x^2 +x +1)^8
    (x^2 +x +1)^8
    (x)^3
f_221: x^220 +x^218 +x^216 +x^210 +x^208 +x^194 +x^192 +x^162 +x^160 +x^156 +x^154 +x^152 +x^146 +x^144 +x^130 +x^128 +x^34 +x^32 +x^28 +x^26 +x^24 +x^18 +x^16 +x^2 +1
    (x^24 +x^23 +x^22 +x^20 +x^19 +x^17 +x^15 +x^14 +x^11 +x^10 +x^9 +x^7 +x^6 +x^5 +x^4 +x^3 +1)^2
    (x^24 +x^23 +x^21 +x^20 +x^19 +x^16 +x^11 +x^10 +x^9 +x^8 +x^7 +x^5 +x^4 +x^2 +1)^2
    (x^24 +x^23 +x^17 +x^15 +x^13 +x^12 +x^8 +x^7 +1)^2
    (x^24 +x^21 +x^17 +x^15 +x^14 +x^11 +x^9 +x^8 +x^5 +x^4 +x^3 +x^2 +1)^2
    (x^6 +x^5 +x^4 +x +1)^2
    (x^4 +x^3 +x^2 +x +1)^2
    (x^4 +x +1)^2
f_222: x^221 +x^217 +x^209 +x^193 +x^161 +x^157 +x^153 +x^145 +x^129 +x^33 +x^29 +x^25 +x^17 +x
    (x^36 +x^35 +x^32 +x^31 +x^30 +x^29 +x^28 +x^27 +x^24 +x^23 +x^22 +x^21 +x^18 +x^17 +x^4 +x^3 +1)^4
    (x^18 +x^17 +x^16 +x^13 +x^12 +x^10 +x^9 +x^8 +x^2 +x +1)^4
    (x +1)^4
    (x)^1
f_223: x^222 +x^220 +x^216 +x^208 +x^192 +x^160 +x^158 +x^156 +x^152 +x^144 +x^128 +x^32 +x^30 +x^28 +x^24 +x^16 +1
    (x^37 +x^36 +x^35 +x^34 +x^32 +x^30 +x^28 +x^27 +x^26 +x^23 +x^20 +x^19 +x^15 +x^12 +x^11 +x^8 +x^7 +x^6 +x^4 +x^3 +1)^2
    (x^37 +x^35 +x^33 +x^32 +x^31 +x^29 +x^28 +x^27 +x^23 +x^21 +x^19 +x^17 +x^16 +x^14 +x^13 +x^8 +x^7 +x^6 +x^4 +x^2 +1)^2
    (x^37 +x^34 +x^33 +x^32 +x^29 +x^27 +x^26 +x^25 +x^15 +x^12 +x^8 +x^6 +x^5 +x^4 +x^3 +x^2 +1)^2
f_224: x^223 +x^159 +x^31
    (x^3 +x^2 +1)^64
    (x)^31
f_225: x^224 +x^222 +x^220 +x^216 +x^208 +x^192 +x^158 +x^156 +x^152 +x^144 +x^128 +x^30 +x^28 +x^24 +x^16 +1
    (x^60 +x^52 +x^45 +x^43 +x^41 +x^36 +x^35 +x^33 +x^19 +x^17 +x^15 +x^11 +x^4 +x^3 +1)^2
    (x^20 +x^15 +x^13 +x^12 +x^9 +x^5 +x^4 +x^3 +1)^2
    (x^12 +x^9 +x^7 +x^5 +x^4 +x^3 +1)^2
    (x^10 +x^6 +x^5 +x^3 +x^2 +x +1)^2
    (x^4 +x^3 +1)^2
    (x^3 +x +1)^2
    (x^2 +x +1)^2
    (x +1)^2
f_226: x^225 +x^221 +x^217 +x^209 +x^193 +x^157 +x^153 +x^145 +x^129 +x^29 +x^25 +x^17 +x
    (x^14 +x^13 +x^9 +x^8 +x^7 +x^5 +x^4 +x^3 +x^2 +x +1)^4
    (x^14 +x^12 +x^10 +x^8 +x^6 +x^5 +x^3 +x +1)^4
    (x^14 +x^11 +x^9 +x^8 +x^7 +x^6 +x^3 +x +1)^4
    (x^14 +x^10 +x^9 +x^8 +x^7 +x^6 +x^5 +x^3 +x^2 +x +1)^4
    (x)^1
f_227: x^226 +x^224 +x^220 +x^218 +x^216 +x^210 +x^208 +x^194 +x^192 +x^156 +x^154 +x^152 +x^146 +x^144 +x^130 +x^128 +x^28 +x^26 +x^24 +x^18 +x^16 +x^2 +1
    (x^113 +x^112 +x^110 +x^109 +x^108 +x^105 +x^104 +x^97 +x^96 +x^78 +x^77 +x^76 +x^73 +x^72 +x^65 +x^64 +x^14 +x^13 +x^12 +x^9 +x^8 +x +1)^2
f_228: x^227 +x^219 +x^211 +x^195 +x^155 +x^147 +x^131 +x^27 +x^19 +x^3
    (x^9 +x^8 +x^6 +x^5 +x^4 +x +1)^8
    (x^9 +x^8 +x^6 +x^4 +x^3 +x +1)^8
    (x^9 +x^6 +x^5 +x^3 +x^2 +x +1)^8
    (x +1)^8
    (x)^3
f_229: x^228 +x^226 +x^224 +x^218 +x^216 +x^212 +x^210 +x^208 +x^196 +x^194 +x^192 +x^154 +x^152 +x^148 +x^146 +x^144 +x^132 +x^130 +x^128 +x^26 +x^24 +x^20 +x^18 +x^16 +x^4 +x^2 +1
    (x^38 +x^37 +x^36 +x^35 +x^34 +x^32 +x^31 +x^29 +x^28 +x^26 +x^25 +x^23 +x^22 +x^20 +x^15 +x^14 +x^12 +x^10 +x^9 +x +1)^2
    (x^38 +x^36 +x^35 +x^30 +x^28 +x^27 +x^26 +x^24 +x^18 +x^17 +x^16 +x^14 +x^11 +x^10 +x^8 +x^6 +x^2 +x +1)^2
    (x^38 +x^36 +x^34 +x^33 +x^31 +x^30 +x^29 +x^27 +x^25 +x^21 +x^20 +x^15 +x^14 +x^12 +x^11 +x^8 +x^7 +x^5 +x^4 +x^3 +x^2 +x +1)^2
f_230: x^229 +x^225 +x^217 +x^213 +x^209 +x^197 +x^193 +x^153 +x^149 +x^145 +x^133 +x^129 +x^25 +x^21 +x^17 +x^5 +x
    (x^44 +x^43 +x^41 +x^39 +x^38 +x^36 +x^35 +x^33 +x^31 +x^30 +x^28 +x^27 +x^25 +x^24 +x^22 +x^20 +x^18 +x^17 +x^16 +x^15 +x^13 +x^11 +x^10 +x^7 +x^6 +x^5 +1)^4
    (x^11 +x^10 +x^8 +x^4 +x^3 +x^2 +1)^4
    (x^2 +x +1)^4
    (x)^1
f_231: x^230 +x^228 +x^224 +x^216 +x^214 +x^212 +x^208 +x^198 +x^196 +x^192 +x^152 +x^150 +x^148 +x^144 +x^134 +x^132 +x^128 +x^24 +x^22 +x^20 +x^16 +x^6 +x^4 +1
    (x^30 +x^29 +x^28 +x^24 +x^19 +x^18 +x^16 +x^13 +x^12 +x^11 +x^9 +x^8 +x^3 +x^2 +1)^2
    (x^30 +x^29 +x^27 +x^26 +x^25 +x^23 +x^22 +x^21 +x^18 +x^17 +x^16 +x^15 +x^14 +x^12 +x^9 +x^7 +x^6 +x^5 +1)^2
    (x^30 +x^27 +x^26 +x^24 +x^23 +x^21 +x^20 +x^19 +x^18 +x^17 +x^15 +x^13 +x^12 +x^10 +x^8 +x^4 +x^3 +x^2 +1)^2
    (x^6 +x^5 +1)^2
    (x^5 +x^4 +x^3 +x +1)^2
    (x^5 +x^4 +x^2 +x +1)^2
    (x^5 +x^3 +x^2 +x +1)^2
    (x^3 +x^2 +1)^2
    (x +1)^2
f_232: x^231 +x^215 +x^199 +x^151 +x^135 +x^23 +x^7
    (x^14 +x^13 +x^12 +x^9 +x^8 +x +1)^16
    (x)^7
f_233: x^232 +x^230 +x^228 +x^224 +x^214 +x^212 +x^208 +x^200 +x^198 +x^196 +x^192 +x^150 +x^148 +x^144 +x^136 +x^134 +x^132 +x^128 +x^22 +x^20 +x^16 +x^8 +x^6 +x^4 +1
    (x^29 +x^28 +x^27 +x^26 +x^25 +x^22 +x^21 +x^18 +x^17 +x^16 +x^14 +x^9 +x^8 +x^5 +x^4 +x^3 +1)^2
    (x^29 +x^28 +x^27 +x^25 +x^23 +x^22 +x^19 +x^15 +x^11 +x^10 +x^7 +x^3 +1)^2
    (x^29 +x^28 +x^26 +x^25 +x^24 +x^23 +x^17 +x^15 +x^13 +x^12 +x^11 +x^9 +x^7 +x^5 +x^3 +x^2 +1)^2
    (x^29 +x^26 +x^22 +x^20 +x^16 +x^14 +x^13 +x^12 +x^11 +x^9 +x^8 +x^7 +1)^2
f_234: x^233 +x^229 +x^225 +x^213 +x^209 +x^201 +x^197 +x^193 +x^149 +x^145 +x^137 +x^133 +x^129 +x^21 +x^17 +x^9 +x^5 +x
    (x^12 +x^11 +x^10 +x^8 +x^7 +x^4 +1)^4
    (x^12 +x^11 +x^10 +x^7 +x^5 +x^2 +1)^4
    (x^12 +x^11 +x^8 +x^7 +x^6 +x^5 +x^4 +x^3 +1)^4
    (x^12 +x^10 +x^9 +x^8 +x^7 +x^4 +x^3 +x^2 +1)^4
    (x^6 +x^5 +x^4 +x +1)^4
    (x^3 +x +1)^4
    (x +1)^4
    (x)^1
f_235: x^234 +x^232 +x^228 +x^226 +x^224 +x^212 +x^210 +x^208 +x^202 +x^200 +x^196 +x^194 +x^192 +x^148 +x^146 +x^144 +x^138 +x^136 +x^132 +x^130 +x^128 +x^20 +x^18 +x^16 +x^10 +x^8 +x^4 +x^2 +1
    (x^92 +x^91 +x^89 +x^87 +x^86 +x^84 +x^83 +x^81 +x^79 +x^78 +x^76 +x^75 +x^73 +x^72 +x^70 +x^69 +x^67 +x^66 +x^45 +x^44 +x^43 +x^41 +x^40 +x^39 +x^37 +x^36 +x^34 +x^33 +x^32 +x^31 +x^29 +x^27 +x^26 +x^16 +x^14 +x^12 +x^10 +x^9 +1)^2
    (x^23 +x^22 +x^20 +x^16 +x^8 +x^7 +x^6 +x^4 +1)^2
    (x^2 +x +1)^2
f_236: x^235 +x^227 +x^211 +x^203 +x^195 +x^147 +x^139 +x^131 +x^19 +x^11 +x^3
    (x^29 +x^28 +x^26 +x^25 +x^24 +x^18 +x^17 +x^16 +x^2 +x +1)^8
    (x)^3
f_237: x^236 +x^234 +x^232 +x^226 +x^224 +x^210 +x^208 +x^204 +x^202 +x^200 +x^194 +x^192 +x^146 +x^144 +x^140 +x^138 +x^136 +x^130 +x^128 +x^18 +x^16 +x^12 +x^10 +x^8 +x^2 +1
    (x^78 +x^77 +x^72 +x^71 +x^70 +x^69 +x^68 +x^67 +x^66 +x^65 +x^48 +x^47 +x^44 +x^43 +x^42 +x^41 +x^32 +x^31 +x^30 +x^29 +x^28 +x^27 +x^26 +x^25 +x^24 +x^23 +x^22 +x^21 +x^20 +x^19 +x^18 +x^17 +x^16 +x^15 +x^12 +x^11 +x^10 +x^9 +1)^2
    (x^39 +x^38 +x^36 +x^32 +x^24 +x^23 +x^22 +x^20 +x^16 +x^7 +x^6 +x^4 +1)^2
    (x +1)^2
f_238: x^237 +x^233 +x^225 +x^209 +x^205 +x^201 +x^193 +x^145 +x^141 +x^137 +x^129 +x^17 +x^13 +x^9 +x
    (x^24 +x^23 +x^19 +x^18 +x^16 +x^15 +x^14 +x^13 +x^11 +x^10 +x^9 +x^8 +x^6 +x^5 +x^4 +x^2 +1)^4
    (x^24 +x^21 +x^20 +x^18 +x^17 +x^10 +x^5 +x^2 +1)^4
    (x^4 +x^3 +x^2 +x +1)^4
    (x^4 +x +1)^4
    (x^3 +x^2 +1)^4
    (x)^1
f_239: x^238 +x^236 +x^232 +x^224 +x^208 +x^206 +x^204 +x^200 +x^192 +x^144 +x^142 +x^140 +x^136 +x^128 +x^16 +x^14 +x^12 +x^8 +1
    (x^119 +x^118 +x^116 +x^112 +x^104 +x^103 +x^102 +x^100 +x^96 +x^72 +x^71 +x^70 +x^68 +x^64 +x^8 +x^7 +x^6 +x^4 +1)^2
f_240: x^239 +x^207 +x^143 +x^15
    (x^4 +x^3 +1)^32
    (x^2 +x +1)^32
    (x +1)^32
    (x)^15
f_241: x^240 +x^238 +x^236 +x^232 +x^224 +x^206 +x^204 +x^200 +x^192 +x^142 +x^140 +x^136 +x^128 +x^14 +x^12 +x^8 +1
    (x^12 +x^11 +x^10 +x^9 +x^7 +x^3 +x^2 +x +1)^2
    (x^12 +x^11 +x^10 +x^9 +x^2 +x +1)^2
    (x^12 +x^11 +x^9 +x^7 +x^6 +x^5 +x^2 +x +1)^2
    (x^12 +x^11 +x^9 +x^6 +x^5 +x +1)^2
    (x^12 +x^11 +x^7 +x^4 +x^2 +x +1)^2
    (x^12 +x^10 +x^9 +x^7 +x^6 +x +1)^2
    (x^12 +x^10 +x^9 +x^6 +x^5 +x +1)^2
    (x^12 +x^10 +x^7 +x^5 +x^2 +x +1)^2
    (x^12 +x^9 +x^8 +x^7 +x^5 +x^4 +x^3 +x +1)^2
    (x^12 +x^7 +x^6 +x^5 +x^3 +x +1)^2
f_242: x^241 +x^237 +x^233 +x^225 +x^205 +x^201 +x^193 +x^141 +x^137 +x^129 +x^13 +x^9 +x
    (x^55 +x^53 +x^49 +x^44 +x^41 +x^39 +x^37 +x^36 +x^31 +x^29 +x^25 +x^22 +x^20 +x^18 +x^17 +x^12 +x^11 +x^10 +x^7 +x^6 +x^4 +x^3 +x^2 +x +1)^4
    (x^5 +x^4 +x^2 +x +1)^4
    (x)^1
f_243: x^242 +x^240 +x^236 +x^234 +x^232 +x^226 +x^224 +x^204 +x^202 +x^200 +x^194 +x^192 +x^140 +x^138 +x^136 +x^130 +x^128 +x^12 +x^10 +x^8 +x^2 +1
    (x^81 +x^79 +x^77 +x^73 +x^65 +x^47 +x^45 +x^41 +x^33 +x^17 +x^15 +x^13 +x^9 +x +1)^2
    (x^27 +x^25 +x^21 +x^19 +x^17 +x^5 +x^3 +x +1)^2
    (x^9 +x^7 +x^5 +x +1)^2
    (x^3 +x +1)^2
    (x +1)^2
f_244: x^243 +x^235 +x^227 +x^203 +x^195 +x^139 +x^131 +x^11 +x^3
    (x^30 +x^29 +x^28 +x^25 +x^24 +x^17 +x^16 +x +1)^8
    (x)^3
f_245: x^244 +x^242 +x^240 +x^234 +x^232 +x^228 +x^226 +x^224 +x^202 +x^200 +x^196 +x^194 +x^192 +x^138 +x^136 +x^132 +x^130 +x^128 +x^10 +x^8 +x^4 +x^2 +1
    (x^84 +x^77 +x^76 +x^75 +x^73 +x^68 +x^67 +x^65 +x^51 +x^47 +x^44 +x^43 +x^42 +x^38 +x^36 +x^34 +x^33 +x^29 +x^28 +x^27 +x^25 +x^22 +x^19 +x^18 +x^17 +x^15 +x^14 +x^12 +x^11 +x^7 +x^6 +x^5 +1)^2
    (x^21 +x^19 +x^17 +x^14 +x^11 +x^10 +x^9 +x^7 +x^3 +x^2 +1)^2
    (x^12 +x^11 +x^9 +x^7 +x^6 +x^5 +1)^2
    (x^3 +x^2 +1)^2
    (x^2 +x +1)^2
f_246: x^245 +x^241 +x^233 +x^229 +x^225 +x^201 +x^197 +x^193 +x^137 +x^133 +x^129 +x^9 +x^5 +x
    (x^20 +x^19 +x^18 +x^17 +x^13 +x^11 +x^10 +x^7 +x^6 +x^5 +1)^4
    (x^20 +x^18 +x^14 +x^13 +x^9 +x^7 +1)^4
    (x^10 +x^9 +x^4 +x +1)^4
    (x^10 +x^8 +x^7 +x^4 +x^3 +x +1)^4
    (x +1)^4
    (x)^1
f_247: x^246 +x^244 +x^240 +x^232 +x^230 +x^228 +x^224 +x^200 +x^198 +x^196 +x^192 +x^136 +x^134 +x^132 +x^128 +x^8 +x^6 +x^4 +1
    (x^36 +x^35 +x^34 +x^32 +x^31 +x^30 +x^29 +x^27 +x^24 +x^20 +x^18 +x^17 +x^14 +x^11 +x^4 +x^2 +1)^2
    (x^36 +x^34 +x^31 +x^30 +x^29 +x^28 +x^27 +x^26 +x^24 +x^21 +x^20 +x^19 +x^17 +x^12 +x^11 +x^9 +x^8 +x^7 +x^6 +x^3 +1)^2
    (x^36 +x^28 +x^26 +x^25 +x^23 +x^21 +x^20 +x^19 +x^15 +x^12 +x^11 +x^10 +x^9 +x^5 +x^4 +x^2 +1)^2
    (x^9 +x^8 +x^6 +x^5 +x^4 +x +1)^2
    (x^6 +x^5 +x^4 +x +1)^2
f_248: x^247 +x^231 +x^199 +x^135 +x^7
    (x^5 +x^4 +x^3 +x^2 +1)^16
    (x^5 +x^3 +1)^16
    (x^5 +x^2 +1)^16
    (x)^7
f_249: x^248 +x^246 +x^244 +x^240 +x^230 +x^228 +x^224 +x^198 +x^196 +x^192 +x^134 +x^132 +x^128 +x^6 +x^4 +1
    (x^41 +x^40 +x^38 +x^37 +x^36 +x^33 +x^32 +x^22 +x^21 +x^20 +x^17 +x^16 +x^9 +x^8 +x^6 +x^5 +x^4 +x +1)^2
    (x^41 +x^40 +x^38 +x^34 +x^33 +x^32 +x^28 +x^27 +x^26 +x^24 +x^22 +x^21 +x^20 +x^19 +x^18 +x^17 +x^16 +x^13 +x^7 +x^5 +x^4 +x^3 +x^2 +x +1)^2
    (x^41 +x^38 +x^37 +x^36 +x^35 +x^30 +x^29 +x^27 +x^26 +x^22 +x^19 +x^17 +x^14 +x^13 +x^12 +x^10 +x^9 +x^6 +x^3 +x +1)^2
    (x +1)^2
f_250: x^249 +x^245 +x^241 +x^229 +x^225 +x^197 +x^193 +x^133 +x^129 +x^5 +x
    (x^50 +x^46 +x^42 +x^34 +x^25 +x^23 +x^21 +x^17 +x^14 +x^10 +x^7 +x^5 +x^2 +x +1)^4
    (x^10 +x^6 +x^5 +x^3 +x^2 +x +1)^4
    (x^2 +x +1)^4
    (x)^1
f_251: x^250 +x^248 +x^244 +x^242 +x^240 +x^228 +x^226 +x^224 +x^196 +x^194 +x^192 +x^132 +x^130 +x^128 +x^4 +x^2 +1
    (x^25 +x^24 +x^18 +x^17 +x^16 +x^15 +x^13 +x^12 +x^11 +x^9 +x^8 +x^7 +x^2 +x +1)^2
    (x^25 +x^23 +x^22 +x^21 +x^18 +x^17 +x^16 +x^14 +x^10 +x^8 +x^5 +x^4 +x^3 +x +1)^2
    (x^25 +x^23 +x^21 +x^16 +x^15 +x^13 +x^12 +x^11 +x^9 +x^8 +x^7 +x^3 +x^2 +x +1)^2
    (x^25 +x^21 +x^17 +x^13 +x^11 +x^8 +x^7 +x^6 +x^3 +x +1)^2
    (x^25 +x^19 +x^18 +x^17 +x^16 +x^15 +x^14 +x^12 +x^11 +x^10 +x^9 +x^8 +x^6 +x^5 +x^4 +x^3 +x^2 +x +1)^2
f_252: x^251 +x^243 +x^227 +x^195 +x^131 +x^3
    (x^6 +x^5 +x^4 +x^2 +1)^8
    (x^6 +x^5 +x^3 +x^2 +1)^8
    (x^6 +x^5 +1)^8
    (x^6 +x^3 +1)^8
    (x^3 +x^2 +1)^8
    (x^3 +x +1)^8
    (x +1)^8
    (x)^3
f_253: x^252 +x^250 +x^248 +x^242 +x^240 +x^226 +x^224 +x^194 +x^192 +x^130 +x^128 +x^2 +1
    (x^110 +x^109 +x^107 +x^106 +x^105 +x^94 +x^93 +x^91 +x^90 +x^89 +x^88 +x^86 +x^82 +x^78 +x^75 +x^73 +x^72 +x^70 +x^69 +x^63 +x^62 +x^61 +x^58 +x^57 +x^55 +x^52 +x^50 +x^45 +x^42 +x^41 +x^39 +x^38 +x^33 +x^31 +x^30 +x^29 +x^26 +x^25 +x^20 +x^19 +x^17 +x^15 +x^14 +x^13 +x^10 +x^7 +x^6 +x^5 +1)^2
    (x^11 +x^10 +x^8 +x^4 +x^3 +x^2 +1)^2
    (x^5 +x^4 +x^2 +x +1)^2
f_254: x^253 +x^249 +x^241 +x^225 +x^193 +x^129 +x
    (x^7 +x^6 +x^5 +x^4 +x^3 +x^2 +1)^4
    (x^7 +x^6 +x^5 +x^4 +1)^4
    (x^7 +x^6 +x^5 +x^2 +1)^4
    (x^7 +x^6 +x^4 +x^2 +1)^4
    (x^7 +x^6 +1)^4
    (x^7 +x^5 +x^4 +x^3 +1)^4
    (x^7 +x^4 +x^3 +x^2 +1)^4
    (x^7 +x^4 +1)^4
    (x^7 +x^3 +1)^4
    (x)^1
f_255: x^254 +x^252 +x^248 +x^240 +x^224 +x^192 +x^128 +1
    (x^8 +x^7 +x^6 +x^5 +x^4 +x^3 +1)^2
    (x^8 +x^7 +x^6 +x^5 +x^4 +x^2 +1)^2
    (x^8 +x^7 +x^6 +x^4 +x^3 +x^2 +1)^2
    (x^8 +x^7 +x^5 +x^4 +x^3 +x^2 +1)^2
    (x^8 +x^7 +x^5 +x^4 +1)^2
    (x^8 +x^7 +x^5 +x^3 +1)^2
    (x^8 +x^7 +x^3 +x^2 +1)^2
    (x^8 +x^6 +x^5 +x^4 +1)^2
    (x^8 +x^6 +x^5 +x^3 +1)^2
    (x^8 +x^6 +x^5 +x^2 +1)^2
    (x^8 +x^6 +x^3 +x^2 +1)^2
    (x^8 +x^5 +x^4 +x^3 +1)^2
    (x^8 +x^5 +x^3 +x^2 +1)^2
    (x^8 +x^4 +x^3 +x^2 +1)^2
    (x^4 +x^3 +x^2 +x +1)^2
    (x^4 +x^3 +1)^2
    (x^4 +x +1)^2
    (x^2 +x +1)^2
    (x +1)^2
f_256: x^255
    (x)^255
f_257: x^256 +x^254 +x^252 +x^248 +x^240 +x^224 +x^192 +x^128 +1
    (x^8 +x^7 +x^6 +x^5 +x^4 +x +1)^2
    (x^8 +x^7 +x^6 +x^5 +x^2 +x +1)^2
    (x^8 +x^7 +x^6 +x^4 +x^2 +x +1)^2
    (x^8 +x^7 +x^6 +x^3 +x^2 +x +1)^2
    (x^8 +x^7 +x^6 +x +1)^2
    (x^8 +x^7 +x^5 +x +1)^2
    (x^8 +x^7 +x^4 +x^3 +x^2 +x +1)^2
    (x^8 +x^7 +x^3 +x +1)^2
    (x^8 +x^7 +x^2 +x +1)^2
    (x^8 +x^6 +x^5 +x^4 +x^3 +x +1)^2
    (x^8 +x^6 +x^5 +x^4 +x^2 +x +1)^2
    (x^8 +x^6 +x^5 +x +1)^2
    (x^8 +x^6 +x^4 +x^3 +x^2 +x +1)^2
    (x^8 +x^5 +x^4 +x^3 +x^2 +x +1)^2
    (x^8 +x^5 +x^3 +x +1)^2
    (x^8 +x^4 +x^3 +x +1)^2
f_258: x^257 +x^253 +x^249 +x^241 +x^225 +x^193 +x^129 +x
    (x^7 +x^6 +x^5 +x^4 +x^2 +x +1)^4
    (x^7 +x^6 +x^5 +x^3 +x^2 +x +1)^4
    (x^7 +x^6 +x^4 +x +1)^4
    (x^7 +x^6 +x^3 +x +1)^4
    (x^7 +x^5 +x^4 +x^3 +x^2 +x +1)^4
    (x^7 +x^5 +x^3 +x +1)^4
    (x^7 +x^5 +x^2 +x +1)^4
    (x^7 +x^3 +x^2 +x +1)^4
    (x^7 +x +1)^4
    (x +1)^4
    (x)^1