#a, b, c, weight, characteristic polynomial 8, 1, 17, 5, x^64 + x^34 + x^17 + x^2 + 1 17, 1, 8, 5, x^64 + x^34 + x^17 + x^2 + 1 15, 1, 16, 11, x^64 + x^61 + x^60 + x^58 + x^56 + x^52 + x^48 + x^40 + x^30 + x^16 + 1 16, 1, 15, 11, x^64 + x^61 + x^60 + x^58 + x^56 + x^52 + x^48 + x^40 + x^30 + x^16 + 1 1, 25, 16, 15, x^64 + x^56 + x^54 + x^52 + x^50 + x^39 + x^37 + x^35 + x^33 + x^32 + x^23 + x^21 + x^19 + x^17 + 1 16, 25, 1, 15, x^64 + x^56 + x^54 + x^52 + x^50 + x^39 + x^37 + x^35 + x^33 + x^32 + x^23 + x^21 + x^19 + x^17 + 1 5, 29, 16, 15, x^64 + x^56 + x^54 + x^52 + x^50 + x^39 + x^37 + x^35 + x^33 + x^32 + x^23 + x^21 + x^19 + x^17 + 1 16, 29, 5, 15, x^64 + x^56 + x^54 + x^52 + x^50 + x^39 + x^37 + x^35 + x^33 + x^32 + x^23 + x^21 + x^19 + x^17 + 1 8, 26, 17, 15, x^64 + x^50 + x^48 + x^42 + x^38 + x^36 + x^33 + x^29 + x^24 + x^23 + x^20 + x^16 + x^8 + x^4 + 1 17, 26, 8, 15, x^64 + x^50 + x^48 + x^42 + x^38 + x^36 + x^33 + x^29 + x^24 + x^23 + x^20 + x^16 + x^8 + x^4 + 1 16, 29, 31 15, x^64 + x^49 + x^45 + x^41 + x^37 + x^34 + x^32 + x^30 + x^26 + x^22 + x^18 + x^14 + x^10 + x^6 + 1 31, 29, 16 15, x^64 + x^49 + x^45 + x^41 + x^37 + x^34 + x^32 + x^30 + x^26 + x^22 + x^18 + x^14 + x^10 + x^6 + 1 16, 31, 21 15, x^64 + x^49 + x^45 + x^41 + x^37 + x^34 + x^32 + x^30 + x^26 + x^22 + x^18 + x^14 + x^10 + x^6 + 1 21, 31, 16 15, x^64 + x^49 + x^45 + x^41 + x^37 + x^34 + x^32 + x^30 + x^26 + x^22 + x^18 + x^14 + x^10 + x^6 + 1 16, 31, 23 15, x^64 + x^56 + x^54 + x^52 + x^50 + x^39 + x^37 + x^35 + x^33 + x^32 + x^23 + x^21 + x^19 + x^17 + 1 23, 31, 16 15, x^64 + x^56 + x^54 + x^52 + x^50 + x^39 + x^37 + x^35 + x^33 + x^32 + x^23 + x^21 + x^19 + x^17 + 1 16, 8, 25, 15, x^64 + x^43 + x^42 + x^41 + x^39 + x^37 + x^36 + x^31 + x^27 + x^24 + x^21 + x^20 + x^18 + x^17 + 1 25, 8, 16, 15, x^64 + x^43 + x^42 + x^41 + x^39 + x^37 + x^36 + x^31 + x^27 + x^24 + x^21 + x^20 + x^18 + x^17 + 1 30, 28, 31 15, x^64 + x^32 + x^28 + x^27 + x^26 + x^25 + x^24 + x^20 + x^19 + x^18 + x^17 + x^15 + x^4 + x^3 + 1 31, 28, 30 15, x^64 + x^32 + x^28 + x^27 + x^26 + x^25 + x^24 + x^20 + x^19 + x^18 + x^17 + x^15 + x^4 + x^3 + 1 17, 26, 24, 17, x^64 + x^53 + x^48 + x^44 + x^38 + x^36 + x^32 + x^31 + x^30 + x^27 + x^22 + x^21 + x^20 + x^18 + x^6 + x^4 + 1 24, 26, 17, 17, x^64 + x^53 + x^48 + x^44 + x^38 + x^36 + x^32 + x^31 + x^30 + x^27 + x^22 + x^21 + x^20 + x^18 + x^6 + x^4 + 1 26, 26, 29, 17, x^64 + x^43 + x^39 + x^38 + x^37 + x^32 + x^31 + x^30 + x^28 + x^27 + x^26 + x^21 + x^18 + x^14 + x^13 + x^12 + 1 29, 26, 26, 17, x^64 + x^43 + x^39 + x^38 + x^37 + x^32 + x^31 + x^30 + x^28 + x^27 + x^26 + x^21 + x^18 + x^14 + x^13 + x^12 + 1 4, 2, 9, 19, x^64 + x^51 + x^47 + x^45 + x^44 + x^42 + x^41 + x^33 + x^32 + x^30 + x^25 + x^22 + x^20 + x^17 + x^14 + x^12 + x^11 + x^10 + 1 9, 2, 4, 19, x^64 + x^51 + x^47 + x^45 + x^44 + x^42 + x^41 + x^33 + x^32 + x^30 + x^25 + x^22 + x^20 + x^17 + x^14 + x^12 + x^11 + x^10 + 1 5, 10, 10, 19, x^64 + x^44 + x^43 + x^42 + x^41 + x^36 + x^34 + x^32 + x^30 + x^28 + x^27 + x^26 + x^25 + x^21 + x^20 + x^19 + x^15 + x^12 + 1 10, 10, 5, 19, x^64 + x^44 + x^43 + x^42 + x^41 + x^36 + x^34 + x^32 + x^30 + x^28 + x^27 + x^26 + x^25 + x^21 + x^20 + x^19 + x^15 + x^12 + 1 8, 30, 27, 19, x^64 + x^55 + x^53 + x^50 + x^48 + x^44 + x^42 + x^41 + x^40 + x^39 + x^36 + x^32 + x^28 + x^25 + x^23 + x^20 + x^12 + x^4 + 1 27, 30, 8, 19, x^64 + x^55 + x^53 + x^50 + x^48 + x^44 + x^42 + x^41 + x^40 + x^39 + x^36 + x^32 + x^28 + x^25 + x^23 + x^20 + x^12 + x^4 + 1 10, 2, 13, 19, x^64 + x^56 + x^52 + x^44 + x^43 + x^41 + x^40 + x^37 + x^33 + x^31 + x^30 + x^25 + x^20 + x^16 + x^15 + x^13 + x^11 + x^8 + 1 13, 2, 10, 19, x^64 + x^56 + x^52 + x^44 + x^43 + x^41 + x^40 + x^37 + x^33 + x^31 + x^30 + x^25 + x^20 + x^16 + x^15 + x^13 + x^11 + x^8 + 1 15, 4, 20, 19, x^64 + x^46 + x^44 + x^36 + x^34 + x^32 + x^30 + x^28 + x^27 + x^26 + x^24 + x^20 + x^19 + x^16 + x^14 + x^10 + x^9 + x^8 + 1 20, 4, 15, 19, x^64 + x^46 + x^44 + x^36 + x^34 + x^32 + x^30 + x^28 + x^27 + x^26 + x^24 + x^20 + x^19 + x^16 + x^14 + x^10 + x^9 + x^8 + 1 16, 7, 25, 19, x^64 + x^62 + x^54 + x^52 + x^45 + x^44 + x^43 + x^40 + x^39 + x^35 + x^33 + x^32 + x^31 + x^27 + x^23 + x^19 + x^17 + x^13 + 1 25, 7, 16, 19, x^64 + x^62 + x^54 + x^52 + x^45 + x^44 + x^43 + x^40 + x^39 + x^35 + x^33 + x^32 + x^31 + x^27 + x^23 + x^19 + x^17 + x^13 + 1 2, 28, 17, 21, x^64 + x^48 + x^46 + x^36 + x^35 + x^34 + x^33 + x^30 + x^27 + x^26 + x^24 + x^22 + x^17 + x^16 + x^15 + x^12 + x^11 + x^10 + x^9 + x^8 + 1 17, 28, 2, 21, x^64 + x^48 + x^46 + x^36 + x^35 + x^34 + x^33 + x^30 + x^27 + x^26 + x^24 + x^22 + x^17 + x^16 + x^15 + x^12 + x^11 + x^10 + x^9 + x^8 + 1 3, 8, 30, 21, x^64 + x^51 + x^50 + x^48 + x^47 + x^45 + x^32 + x^31 + x^30 + x^28 + x^27 + x^26 + x^25 + x^23 + x^22 + x^21 + x^19 + x^17 + x^12 + x^11 + 1 30, 8, 3, 21, x^64 + x^51 + x^50 + x^48 + x^47 + x^45 + x^32 + x^31 + x^30 + x^28 + x^27 + x^26 + x^25 + x^23 + x^22 + x^21 + x^19 + x^17 + x^12 + x^11 + 1 4, 4, 19, 21, x^64 + x^54 + x^52 + x^50 + x^48 + x^43 + x^38 + x^35 + x^34 + x^27 + x^25 + x^23 + x^20 + x^19 + x^18 + x^17 + x^16 + x^14 + x^9 + x^7 + 1 19, 4, 4, 21, x^64 + x^54 + x^52 + x^50 + x^48 + x^43 + x^38 + x^35 + x^34 + x^27 + x^25 + x^23 + x^20 + x^19 + x^18 + x^17 + x^16 + x^14 + x^9 + x^7 + 1 4, 5, 9, 21, x^64 + x^60 + x^50 + x^48 + x^46 + x^40 + x^39 + x^36 + x^31 + x^25 + x^20 + x^19 + x^17 + x^16 + x^15 + x^13 + x^12 + x^9 + x^8 + x^4 + 1 9, 5, 4, 21, x^64 + x^60 + x^50 + x^48 + x^46 + x^40 + x^39 + x^36 + x^31 + x^25 + x^20 + x^19 + x^17 + x^16 + x^15 + x^13 + x^12 + x^9 + x^8 + x^4 + 1 8, 2, 31, 21, x^64 + x^49 + x^46 + x^45 + x^44 + x^42 + x^41 + x^39 + x^38 + x^35 + x^34 + x^32 + x^29 + x^28 + x^25 + x^24 + x^22 + x^21 + x^18 + x^12 + 1 31, 2, 8, 21, x^64 + x^49 + x^46 + x^45 + x^44 + x^42 + x^41 + x^39 + x^38 + x^35 + x^34 + x^32 + x^29 + x^28 + x^25 + x^24 + x^22 + x^21 + x^18 + x^12 + 1 9, 20, 14, 21, x^64 + x^55 + x^52 + x^49 + x^46 + x^45 + x^42 + x^41 + x^39 + x^36 + x^35 + x^32 + x^31 + x^22 + x^21 + x^19 + x^17 + x^14 + x^12 + x^11 + 1 14, 20, 9, 21, x^64 + x^55 + x^52 + x^49 + x^46 + x^45 + x^42 + x^41 + x^39 + x^36 + x^35 + x^32 + x^31 + x^22 + x^21 + x^19 + x^17 + x^14 + x^12 + x^11 + 1 10, 8, 29, 21, x^64 + x^50 + x^49 + x^43 + x^41 + x^36 + x^32 + x^31 + x^30 + x^28 + x^27 + x^25 + x^24 + x^23 + x^19 + x^15 + x^14 + x^13 + x^10 + x^7 + 1 29, 8, 10, 21, x^64 + x^50 + x^49 + x^43 + x^41 + x^36 + x^32 + x^31 + x^30 + x^28 + x^27 + x^25 + x^24 + x^23 + x^19 + x^15 + x^14 + x^13 + x^10 + x^7 + 1 14, 1, 31, 21, x^64 + x^62 + x^58 + x^53 + x^49 + x^43 + x^40 + x^38 + x^36 + x^27 + x^22 + x^20 + x^19 + x^18 + x^17 + x^11 + x^10 + x^9 + x^8 + x^5 + 1 31, 1, 14, 21, x^64 + x^62 + x^58 + x^53 + x^49 + x^43 + x^40 + x^38 + x^36 + x^27 + x^22 + x^20 + x^19 + x^18 + x^17 + x^11 + x^10 + x^9 + x^8 + x^5 + 1 16, 1, 27, 21, x^64 + x^58 + x^52 + x^49 + x^48 + x^46 + x^45 + x^42 + x^40 + x^38 + x^25 + x^24 + x^17 + x^16 + x^14 + x^13 + x^12 + x^10 + x^9 + x^5 + 1 27, 1, 16, 21, x^64 + x^58 + x^52 + x^49 + x^48 + x^46 + x^45 + x^42 + x^40 + x^38 + x^25 + x^24 + x^17 + x^16 + x^14 + x^13 + x^12 + x^10 + x^9 + x^5 + 1 16, 4, 21, 21, x^64 + x^53 + x^51 + x^49 + x^47 + x^45 + x^42 + x^41 + x^33 + x^31 + x^25 + x^23 + x^22 + x^21 + x^18 + x^16 + x^15 + x^14 + x^13 + x^11 + 1 21, 4, 16, 21, x^64 + x^53 + x^51 + x^49 + x^47 + x^45 + x^42 + x^41 + x^33 + x^31 + x^25 + x^23 + x^22 + x^21 + x^18 + x^16 + x^15 + x^14 + x^13 + x^11 + 1 24, 2, 27, 21, x^64 + x^50 + x^49 + x^48 + x^43 + x^40 + x^39 + x^38 + x^37 + x^36 + x^34 + x^32 + x^31 + x^29 + x^23 + x^22 + x^21 + x^16 + x^15 + x^7 + 1 27, 2, 24, 21, x^64 + x^50 + x^49 + x^48 + x^43 + x^40 + x^39 + x^38 + x^37 + x^36 + x^34 + x^32 + x^31 + x^29 + x^23 + x^22 + x^21 + x^16 + x^15 + x^7 + 1 24, 20, 3, 21, x^64 + x^48 + x^47 + x^45 + x^44 + x^40 + x^39 + x^37 + x^31 + x^27 + x^26 + x^25 + x^24 + x^23 + x^19 + x^17 + x^16 + x^13 + x^12 + x^11 + 1 3, 20, 24, 21, x^64 + x^48 + x^47 + x^45 + x^44 + x^40 + x^39 + x^37 + x^31 + x^27 + x^26 + x^25 + x^24 + x^23 + x^19 + x^17 + x^16 + x^13 + x^12 + x^11 + 1 25, 20, 26, 21, x^64 + x^54 + x^48 + x^44 + x^43 + x^42 + x^40 + x^38 + x^36 + x^35 + x^27 + x^25 + x^24 + x^22 + x^21 + x^20 + x^18 + x^17 + x^11 + x^10 + 1 26, 20, 25, 21, x^64 + x^54 + x^48 + x^44 + x^43 + x^42 + x^40 + x^38 + x^36 + x^35 + x^27 + x^25 + x^24 + x^22 + x^21 + x^20 + x^18 + x^17 + x^11 + x^10 + 1 1, 2, 24, 23, x^64 + x^50 + x^41 + x^40 + x^39 + x^38 + x^35 + x^33 + x^32 + x^31 + x^30 + x^27 + x^26 + x^25 + x^24 + x^22 + x^21 + x^18 + x^15 + x^12 + x^11 + x^8 + 1 24, 2, 1, 23, x^64 + x^50 + x^41 + x^40 + x^39 + x^38 + x^35 + x^33 + x^32 + x^31 + x^30 + x^27 + x^26 + x^25 + x^24 + x^22 + x^21 + x^18 + x^15 + x^12 + x^11 + x^8 + 1 1, 6, 24, 23, x^64 + x^54 + x^48 + x^44 + x^42 + x^40 + x^38 + x^37 + x^36 + x^35 + x^33 + x^31 + x^28 + x^27 + x^24 + x^23 + x^20 + x^19 + x^18 + x^16 + x^15 + x^14 + 1 24, 6, 1, 23, x^64 + x^54 + x^48 + x^44 + x^42 + x^40 + x^38 + x^37 + x^36 + x^35 + x^33 + x^31 + x^28 + x^27 + x^24 + x^23 + x^20 + x^19 + x^18 + x^16 + x^15 + x^14 + 1 2, 13, 31, 23, x^64 + x^53 + x^52 + x^48 + x^47 + x^43 + x^42 + x^40 + x^33 + x^32 + x^31 + x^29 + x^26 + x^25 + x^24 + x^19 + x^18 + x^13 + x^12 + x^10 + x^8 + x^7 + 1 31, 13, 2, 23, x^64 + x^53 + x^52 + x^48 + x^47 + x^43 + x^42 + x^40 + x^33 + x^32 + x^31 + x^29 + x^26 + x^25 + x^24 + x^19 + x^18 + x^13 + x^12 + x^10 + x^8 + x^7 + 1 4, 2, 27, 23, x^64 + x^49 + x^48 + x^46 + x^44 + x^42 + x^40 + x^39 + x^38 + x^29 + x^28 + x^27 + x^25 + x^23 + x^22 + x^20 + x^17 + x^16 + x^15 + x^11 + x^9 + x^6 + 1 27, 2, 4, 23, x^64 + x^49 + x^48 + x^46 + x^44 + x^42 + x^40 + x^39 + x^38 + x^29 + x^28 + x^27 + x^25 + x^23 + x^22 + x^20 + x^17 + x^16 + x^15 + x^11 + x^9 + x^6 + 1 4, 24, 27, 23, x^64 + x^48 + x^47 + x^46 + x^44 + x^42 + x^41 + x^39 + x^38 + x^37 + x^36 + x^35 + x^29 + x^28 + x^26 + x^25 + x^24 + x^21 + x^20 + x^19 + x^18 + x^10 + 1 27, 24, 4, 23, x^64 + x^48 + x^47 + x^46 + x^44 + x^42 + x^41 + x^39 + x^38 + x^37 + x^36 + x^35 + x^29 + x^28 + x^26 + x^25 + x^24 + x^21 + x^20 + x^19 + x^18 + x^10 + 1 7, 13, 8, 23, x^64 + x^56 + x^54 + x^50 + x^47 + x^45 + x^43 + x^39 + x^35 + x^32 + x^31 + x^28 + x^25 + x^22 + x^19 + x^16 + x^15 + x^13 + x^11 + x^7 + x^5 + x^3 + 1 8, 13, 7, 23, x^64 + x^56 + x^54 + x^50 + x^47 + x^45 + x^43 + x^39 + x^35 + x^32 + x^31 + x^28 + x^25 + x^22 + x^19 + x^16 + x^15 + x^13 + x^11 + x^7 + x^5 + x^3 + 1 8, 2, 25, 23, x^64 + x^50 + x^44 + x^43 + x^42 + x^41 + x^36 + x^35 + x^34 + x^33 + x^32 + x^29 + x^28 + x^27 + x^26 + x^23 + x^22 + x^21 + x^18 + x^13 + x^9 + x^8 + 1 25, 2, 8, 23, x^64 + x^50 + x^44 + x^43 + x^42 + x^41 + x^36 + x^35 + x^34 + x^33 + x^32 + x^29 + x^28 + x^27 + x^26 + x^23 + x^22 + x^21 + x^18 + x^13 + x^9 + x^8 + 1 14, 10, 29, 23, x^64 + x^53 + x^52 + x^51 + x^44 + x^40 + x^38 + x^36 + x^34 + x^32 + x^31 + x^30 + x^28 + x^27 + x^26 + x^25 + x^24 + x^23 + x^22 + x^19 + x^15 + x^10 + 1 29, 10, 14, 23, x^64 + x^53 + x^52 + x^51 + x^44 + x^40 + x^38 + x^36 + x^34 + x^32 + x^31 + x^30 + x^28 + x^27 + x^26 + x^25 + x^24 + x^23 + x^22 + x^19 + x^15 + x^10 + 1 19, 20, 26, 23, x^64 + x^54 + x^52 + x^51 + x^50 + x^48 + x^47 + x^43 + x^40 + x^35 + x^34 + x^33 + x^31 + x^24 + x^21 + x^20 + x^18 + x^15 + x^11 + x^10 + x^7 + x^5 + 1 26, 20, 19, 23, x^64 + x^54 + x^52 + x^51 + x^50 + x^48 + x^47 + x^43 + x^40 + x^35 + x^34 + x^33 + x^31 + x^24 + x^21 + x^20 + x^18 + x^15 + x^11 + x^10 + x^7 + x^5 + 1 19, 8, 24, 23, x^64 + x^53 + x^51 + x^48 + x^46 + x^44 + x^37 + x^36 + x^34 + x^33 + x^31 + x^29 + x^26 + x^24 + x^21 + x^20 + x^19 + x^18 + x^16 + x^15 + x^11 + x^9 + 1 24, 8, 19, 23, x^64 + x^53 + x^51 + x^48 + x^46 + x^44 + x^37 + x^36 + x^34 + x^33 + x^31 + x^29 + x^26 + x^24 + x^21 + x^20 + x^19 + x^18 + x^16 + x^15 + x^11 + x^9 + 1 24, 20, 25, 23, x^64 + x^49 + x^45 + x^41 + x^38 + x^37 + x^35 + x^34 + x^32 + x^28 + x^26 + x^25 + x^24 + x^23 + x^21 + x^19 + x^18 + x^17 + x^13 + x^12 + x^11 + x^9 + 1 25, 20, 24, 23, x^64 + x^49 + x^45 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