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History of Cyclotomic polynomials

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2026-08-14 21:32 bmatschke how well the digits are known: exact (type Z[]) current
2026-08-13 22:07 bmatschke how well the digits are known: exact (type Z[])
2026-08-09 09:16 flattening entries rewritten as records with named parameters
2026-08-09 08:35 data-repository import the current state of the data repository reviewed
2023-03-01 13:23 bmatschke from the data repository, fc072a35
2021-08-29 16:58 bmatschke from the data repository, a41de427
2021-08-27 16:05 bmatschke from the data repository, 90b5c0b3
2021-08-27 05:28 bmatschke from the data repository, 4e09cf6c

What changed between 2026-08-09 08:35 and 2026-08-09 09:16

from line 28 (220 lines, 120 more than before) @@ -28,100 +28,220 @@ 
 Display properties:   number-header: $\Phi_n(x)$-Data:-  '1': x - 1-  '2': x + 1-  '3': x^2 + x + 1-  '4': x^2 + 1-  '5': x^4 + x^3 + x^2 + x + 1-  '6': x^2 - x + 1-  '7': x^6 + x^5 + x^4 + x^3 + x^2 + x + 1-  '8': x^4 + 1-  '9': x^6 + x^3 + 1-  '10': x^4 - x^3 + x^2 - x + 1-  '11': x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1-  '12': x^4 - x^2 + 1-  '13': x^12 + x^11 + x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1-  '14': x^6 - x^5 + x^4 - x^3 + x^2 - x + 1-  '15': x^8 - x^7 + x^5 - x^4 + x^3 - x + 1-  '16': x^8 + 1-  '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 + x^2 + x + 1-  '18': x^6 - x^3 + 1-  '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 + x^2 + x + 1-  '20': x^8 - x^6 + x^4 - x^2 + 1-  '21': x^12 - x^11 + x^9 - x^8 + x^6 - x^4 + x^3 - x + 1-  '22': x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1-  '23': x^22 + x^21 + x^20 + x^19 + x^18 + x^17 + x^16 + x^15 + x^14 + x^13 + x^12+Numbers:+- params:+    n: '1'+  number: x - 1+- params:+    n: '2'+  number: x + 1+- params:+    n: '3'+  number: x^2 + x + 1+- params:+    n: '4'+  number: x^2 + 1+- params:+    n: '5'+  number: x^4 + x^3 + x^2 + x + 1+- params:+    n: '6'+  number: x^2 - x + 1+- params:+    n: '7'+  number: x^6 + x^5 + x^4 + x^3 + x^2 + x + 1+- params:+    n: '8'+  number: x^4 + 1+- params:+    n: '9'+  number: x^6 + x^3 + 1+- params:+    n: '10'+  number: x^4 - x^3 + x^2 - x + 1+- params:+    n: '11'+  number: x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1+- params:+    n: '12'+  number: x^4 - x^2 + 1+- params:+    n: '13'+  number: x^12 + x^11 + x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x ++    1+- params:+    n: '14'+  number: x^6 - x^5 + x^4 - x^3 + x^2 - x + 1+- params:+    n: '15'+  number: x^8 - x^7 + x^5 - x^4 + x^3 - x + 1+- params:+    n: '16'+  number: x^8 + 1+- params:+    n: '17'+  number: 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 + x^2 + x + 1+- params:+    n: '18'+  number: x^6 - x^3 + 1+- params:+    n: '19'+  number: 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 + x^2 + x + 1+- params:+    n: '20'+  number: x^8 - x^6 + x^4 - x^2 + 1+- params:+    n: '21'+  number: x^12 - x^11 + x^9 - x^8 + x^6 - x^4 + x^3 - x + 1+- params:+    n: '22'+  number: x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1+- params:+    n: '23'+  number: 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 + x^2 + x + 1-  '24': x^8 - x^4 + 1-  '25': x^20 + x^15 + x^10 + x^5 + 1-  '26': x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1-  '27': x^18 + x^9 + 1-  '28': x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1-  '29': x^28 + x^27 + x^26 + x^25 + x^24 + x^23 + x^22 + x^21 + x^20 + x^19 + x^18+- params:+    n: '24'+  number: x^8 - x^4 + 1+- params:+    n: '25'+  number: x^20 + x^15 + x^10 + x^5 + 1+- params:+    n: '26'+  number: x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x ++    1+- params:+    n: '27'+  number: x^18 + x^9 + 1+- params:+    n: '28'+  number: x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1+- params:+    n: '29'+  number: 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 + x^2 + x + 1-  '30': x^8 + x^7 - x^5 - x^4 - x^3 + x + 1-  '31': x^30 + x^29 + x^28 + x^27 + x^26 + x^25 + x^24 + x^23 + x^22 + x^21 + x^20+- params:+    n: '30'+  number: x^8 + x^7 - x^5 - x^4 - x^3 + x + 1+- params:+    n: '31'+  number: 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 + x^2 + x + 1-  '32': x^16 + 1-  '33': x^20 - x^19 + x^17 - x^16 + x^14 - x^13 + x^11 - x^10 + x^9 - x^7 + x^6 --    x^4 + x^3 - x + 1-  '34': 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 + x^2 - x + 1-  '35': x^24 - x^23 + x^19 - x^18 + x^17 - x^16 + x^14 - x^13 + x^12 - x^11 + x^10+- params:+    n: '32'+  number: x^16 + 1+- params:+    n: '33'+  number: x^20 - x^19 + x^17 - x^16 + x^14 - x^13 + x^11 - x^10 + x^9 - x^7 + x^6+    - x^4 + x^3 - x + 1+- params:+    n: '34'+  number: 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 + x^2 - x + 1+- params:+    n: '35'+  number: x^24 - x^23 + x^19 - x^18 + x^17 - x^16 + x^14 - x^13 + x^12 - x^11 + x^10     - x^8 + x^7 - x^6 + x^5 - x + 1-  '36': x^12 - x^6 + 1-  '37': x^36 + x^35 + x^34 + x^33 + x^32 + x^31 + x^30 + x^29 + x^28 + x^27 + x^26+- params:+    n: '36'+  number: x^12 - x^6 + 1+- params:+    n: '37'+  number: x^36 + x^35 + x^34 + x^33 + 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 + x^2     + x + 1-  '38': 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 + x^2 - x + 1-  '39': x^24 - x^23 + x^21 - x^20 + x^18 - x^17 + x^15 - x^14 + x^12 - x^10 + x^9+- params:+    n: '38'+  number: 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 + x^2 - x + 1+- params:+    n: '39'+  number: x^24 - x^23 + x^21 - x^20 + x^18 - x^17 + x^15 - x^14 + x^12 - x^10 + x^9     - x^7 + x^6 - x^4 + x^3 - x + 1-  '40': x^16 - x^12 + x^8 - x^4 + 1-  '41': x^40 + x^39 + x^38 + x^37 + x^36 + x^35 + x^34 + x^33 + x^32 + x^31 + x^30+- params:+    n: '40'+  number: x^16 - x^12 + x^8 - x^4 + 1+- params:+    n: '41'+  number: x^40 + x^39 + x^38 + x^37 + x^36 + x^35 + x^34 + x^33 + 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 + x^2 + x + 1-  '42': x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1-  '43': x^42 + x^41 + x^40 + x^39 + x^38 + x^37 + x^36 + x^35 + x^34 + x^33 + x^32+- params:+    n: '42'+  number: x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1+- params:+    n: '43'+  number: x^42 + x^41 + x^40 + x^39 + x^38 + x^37 + x^36 + x^35 + x^34 + x^33 + 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 + x^2 + x + 1-  '44': x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1-  '45': x^24 - x^21 + x^15 - x^12 + x^9 - x^3 + 1-  '46': x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12+- params:+    n: '44'+  number: x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1+- params:+    n: '45'+  number: x^24 - x^21 + x^15 - x^12 + x^9 - x^3 + 1+- params:+    n: '46'+  number: 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 + x^2 - x + 1-  '47': x^46 + x^45 + x^44 + x^43 + x^42 + x^41 + x^40 + x^39 + x^38 + x^37 + x^36+- params:+    n: '47'+  number: 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^34 + x^33 + 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 + x^2 + x + 1-  '48': x^16 - x^8 + 1-  '49': x^42 + x^35 + x^28 + x^21 + x^14 + x^7 + 1-  '50': x^20 - x^15 + x^10 - x^5 + 1-  '51': x^32 - x^31 + x^29 - x^28 + x^26 - x^25 + x^23 - x^22 + x^20 - x^19 + x^17+- params:+    n: '48'+  number: x^16 - x^8 + 1+- params:+    n: '49'+  number: x^42 + x^35 + x^28 + x^21 + x^14 + x^7 + 1+- params:+    n: '50'+  number: x^20 - x^15 + x^10 - x^5 + 1+- params:+    n: '51'+  number: x^32 - x^31 + x^29 - x^28 + x^26 - x^25 + x^23 - x^22 + x^20 - x^19 + x^17     - x^16 + x^15 - x^13 + x^12 - x^10 + x^9 - x^7 + x^6 - x^4 + x^3 - x + 1-  '52': x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 --    x^2 + 1-  '53': x^52 + x^51 + x^50 + x^49 + x^48 + x^47 + x^46 + x^45 + x^44 + x^43 + x^42+- params:+    n: '52'+  number: x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4+    - x^2 + 1+- params:+    n: '53'+  number: x^52 + x^51 + x^50 + x^49 + 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^34 + x^33 + 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 + x^2 + x + 1-  '54': x^18 - x^9 + 1-  '55': x^40 - x^39 + x^35 - x^34 + x^30 - x^28 + x^25 - x^23 + x^20 - x^17 + x^15+- params:+    n: '54'+  number: x^18 - x^9 + 1+- params:+    n: '55'+  number: x^40 - x^39 + x^35 - x^34 + x^30 - x^28 + x^25 - x^23 + x^20 - x^17 + x^15     - x^12 + x^10 - x^6 + x^5 - x + 1-  '56': x^24 - x^20 + x^16 - x^12 + x^8 - x^4 + 1-  '57': x^36 - x^35 + x^33 - x^32 + x^30 - x^29 + x^27 - x^26 + x^24 - x^23 + x^21+- params:+    n: '56'+  number: x^24 - x^20 + x^16 - x^12 + x^8 - x^4 + 1+- params:+    n: '57'+  number: x^36 - x^35 + x^33 - x^32 + x^30 - x^29 + x^27 - x^26 + x^24 - x^23 + x^21     - x^20 + x^18 - x^16 + x^15 - x^13 + x^12 - x^10 + x^9 - x^7 + x^6 - x^4 + x^3     - x + 1-  '58': x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18+- params:+    n: '58'+  number: 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 + x^2 - x + 1-  '59': x^58 + x^57 + x^56 + x^55 + x^54 + x^53 + x^52 + x^51 + x^50 + x^49 + x^48+- params:+    n: '59'+  number: x^58 + x^57 + x^56 + x^55 + x^54 + x^53 + x^52 + x^51 + x^50 + x^49 + 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^34 + x^33 + x^32 + x^31 + x^30 + x^29 + x^28 + x^27 + x^26 + x^25
from line 249 (10 lines, 4 more than before) @@ -129,6 +249,10 @@ 
     x^13 + x^12 + x^11 + x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x     + 1-  '60': x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1-  '61': x^60 + x^59 + x^58 + x^57 + x^56 + x^55 + x^54 + x^53 + x^52 + x^51 + x^50+- params:+    n: '60'+  number: x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1+- params:+    n: '61'+  number: x^60 + x^59 + x^58 + x^57 + x^56 + x^55 + x^54 + x^53 + x^52 + x^51 + x^50     + x^49 + 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^34 + x^33 + x^32 + x^31 + x^30 + x^29 + x^28 + x^27
from line 260 (27 lines, 12 more than before) @@ -136,15 +260,27 @@ 
     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 + x^2 + x + 1-  '62': x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20+- params:+    n: '62'+  number: 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 + x^2 - x + 1-  '63': x^36 - x^33 + x^27 - x^24 + x^18 - x^12 + x^9 - x^3 + 1-  '64': x^32 + 1-  '65': x^48 - x^47 + x^43 - x^42 + x^38 - x^37 + x^35 - x^34 + x^33 - x^32 + x^30+- params:+    n: '63'+  number: x^36 - x^33 + x^27 - x^24 + x^18 - x^12 + x^9 - x^3 + 1+- params:+    n: '64'+  number: x^32 + 1+- params:+    n: '65'+  number: x^48 - x^47 + x^43 - x^42 + x^38 - x^37 + x^35 - x^34 + x^33 - x^32 + x^30     - x^29 + x^28 - x^27 + x^25 - x^24 + x^23 - x^21 + x^20 - x^19 + x^18 - x^16 +     x^15 - x^14 + x^13 - x^11 + x^10 - x^6 + x^5 - x + 1-  '66': x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 --    x^4 - x^3 + x + 1-  '67': x^66 + x^65 + x^64 + x^63 + x^62 + x^61 + x^60 + x^59 + x^58 + x^57 + x^56+- params:+    n: '66'+  number: x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6+    - x^4 - x^3 + x + 1+- params:+    n: '67'+  number: x^66 + x^65 + x^64 + x^63 + x^62 + x^61 + x^60 + x^59 + x^58 + x^57 + x^56     + x^55 + x^54 + x^53 + x^52 + x^51 + x^50 + x^49 + 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^34 + x^33
from line 288 (20 lines, 8 more than before) @@ -152,12 +288,20 @@ 
     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 + x^2 + x + 1-  '68': x^32 - x^30 + x^28 - x^26 + x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12+- params:+    n: '68'+  number: x^32 - x^30 + x^28 - x^26 + x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12     - x^10 + x^8 - x^6 + x^4 - x^2 + 1-  '69': x^44 - x^43 + x^41 - x^40 + x^38 - x^37 + x^35 - x^34 + x^32 - x^31 + x^29+- params:+    n: '69'+  number: x^44 - x^43 + x^41 - x^40 + x^38 - x^37 + x^35 - x^34 + x^32 - x^31 + x^29     - x^28 + x^26 - x^25 + x^23 - x^22 + x^21 - x^19 + x^18 - x^16 + x^15 - x^13 +     x^12 - x^10 + x^9 - x^7 + x^6 - x^4 + x^3 - x + 1-  '70': x^24 + x^23 - x^19 - x^18 - x^17 - x^16 + x^14 + x^13 + x^12 + x^11 + x^10+- params:+    n: '70'+  number: x^24 + x^23 - x^19 - x^18 - x^17 - x^16 + x^14 + x^13 + x^12 + x^11 + x^10     - x^8 - x^7 - x^6 - x^5 + x + 1-  '71': x^70 + x^69 + x^68 + x^67 + x^66 + x^65 + x^64 + x^63 + x^62 + x^61 + x^60+- params:+    n: '71'+  number: x^70 + x^69 + x^68 + x^67 + x^66 + x^65 + x^64 + x^63 + x^62 + x^61 + x^60     + x^59 + x^58 + x^57 + x^56 + x^55 + x^54 + x^53 + x^52 + x^51 + x^50 + x^49 +     x^48 + x^47 + x^46 + x^45 + x^44 + x^43 + x^42 + x^41 + x^40 + x^39 + x^38 + x^37
from line 310 (10 lines, 4 more than before) @@ -166,6 +310,10 @@ 
     + x^13 + x^12 + x^11 + x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 +     x + 1-  '72': x^24 - x^12 + 1-  '73': x^72 + x^71 + x^70 + x^69 + x^68 + x^67 + x^66 + x^65 + x^64 + x^63 + x^62+- params:+    n: '72'+  number: x^24 - x^12 + 1+- params:+    n: '73'+  number: x^72 + x^71 + x^70 + x^69 + x^68 + x^67 + x^66 + x^65 + x^64 + x^63 + x^62     + x^61 + x^60 + x^59 + x^58 + x^57 + x^56 + x^55 + x^54 + x^53 + x^52 + x^51 +     x^50 + x^49 + x^48 + x^47 + x^46 + x^45 + x^44 + x^43 + x^42 + x^41 + x^40 + x^39
from line 322 (29 lines, 12 more than before) @@ -174,17 +322,29 @@ 
     + 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 + x^2 + x + 1-  '74': x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26+- params:+    n: '74'+  number: x^36 - x^35 + x^34 - x^33 + 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 + x^2     - x + 1-  '75': x^40 - x^35 + x^25 - x^20 + x^15 - x^5 + 1-  '76': x^36 - x^34 + x^32 - x^30 + x^28 - x^26 + x^24 - x^22 + x^20 - x^18 + x^16+- params:+    n: '75'+  number: x^40 - x^35 + x^25 - x^20 + x^15 - x^5 + 1+- params:+    n: '76'+  number: x^36 - x^34 + x^32 - x^30 + x^28 - x^26 + x^24 - x^22 + x^20 - x^18 + x^16     - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1-  '77': x^60 - x^59 + x^53 - x^52 + x^49 - x^48 + x^46 - x^45 + x^42 - x^41 + x^39+- params:+    n: '77'+  number: x^60 - x^59 + x^53 - x^52 + x^49 - x^48 + x^46 - x^45 + x^42 - x^41 + x^39     - x^37 + x^35 - x^34 + x^32 - x^30 + x^28 - x^26 + x^25 - x^23 + x^21 - x^19 +     x^18 - x^15 + x^14 - x^12 + x^11 - x^8 + x^7 - x + 1-  '78': x^24 + x^23 - x^21 - x^20 + x^18 + x^17 - x^15 - x^14 + x^12 - x^10 - x^9+- params:+    n: '78'+  number: x^24 + x^23 - x^21 - x^20 + x^18 + x^17 - x^15 - x^14 + x^12 - x^10 - x^9     + x^7 + x^6 - x^4 - x^3 + x + 1-  '79': x^78 + x^77 + x^76 + x^75 + x^74 + x^73 + x^72 + x^71 + x^70 + x^69 + x^68+- params:+    n: '79'+  number: x^78 + x^77 + x^76 + x^75 + x^74 + x^73 + x^72 + x^71 + x^70 + x^69 + x^68     + x^67 + x^66 + x^65 + x^64 + x^63 + x^62 + x^61 + x^60 + x^59 + x^58 + x^57 +     x^56 + x^55 + x^54 + x^53 + x^52 + x^51 + x^50 + x^49 + x^48 + x^47 + x^46 + x^45
from line 353 (19 lines, 8 more than before) @@ -193,11 +353,19 @@ 
     + 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 + x^2 + x + 1-  '80': x^32 - x^24 + x^16 - x^8 + 1-  '81': x^54 + x^27 + 1-  '82': x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30+- params:+    n: '80'+  number: x^32 - x^24 + x^16 - x^8 + 1+- params:+    n: '81'+  number: x^54 + x^27 + 1+- params:+    n: '82'+  number: x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + 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 + x^2 - x + 1-  '83': x^82 + x^81 + x^80 + x^79 + x^78 + x^77 + x^76 + x^75 + x^74 + x^73 + x^72+- params:+    n: '83'+  number: x^82 + x^81 + x^80 + x^79 + x^78 + x^77 + x^76 + x^75 + x^74 + x^73 + x^72     + x^71 + x^70 + x^69 + x^68 + x^67 + x^66 + x^65 + x^64 + x^63 + x^62 + x^61 +     x^60 + x^59 + x^58 + x^57 + x^56 + x^55 + x^54 + x^53 + x^52 + x^51 + x^50 + x^49
from line 375 (31 lines, 12 more than before) @@ -207,19 +375,31 @@ 
     x^14 + x^13 + x^12 + x^11 + x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2     + x + 1-  '84': x^24 + x^22 - x^18 - x^16 + x^12 - x^8 - x^6 + x^2 + 1-  '85': x^64 - x^63 + x^59 - x^58 + x^54 - x^53 + x^49 - x^48 + x^47 - x^46 + x^44+- params:+    n: '84'+  number: x^24 + x^22 - x^18 - x^16 + x^12 - x^8 - x^6 + x^2 + 1+- params:+    n: '85'+  number: x^64 - x^63 + x^59 - x^58 + x^54 - x^53 + x^49 - x^48 + x^47 - x^46 + x^44     - x^43 + x^42 - x^41 + x^39 - x^38 + x^37 - x^36 + x^34 - x^33 + x^32 - x^31 +     x^30 - x^28 + x^27 - x^26 + x^25 - x^23 + x^22 - x^21 + x^20 - x^18 + x^17 - x^16     + x^15 - x^11 + x^10 - x^6 + x^5 - x + 1-  '86': x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32+- params:+    n: '86'+  number: x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + 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 + x^2 - x + 1-  '87': x^56 - x^55 + x^53 - x^52 + x^50 - x^49 + x^47 - x^46 + x^44 - x^43 + x^41+- params:+    n: '87'+  number: x^56 - x^55 + x^53 - x^52 + x^50 - x^49 + x^47 - x^46 + x^44 - x^43 + x^41     - x^40 + x^38 - x^37 + x^35 - x^34 + x^32 - x^31 + x^29 - x^28 + x^27 - x^25 +     x^24 - x^22 + x^21 - x^19 + x^18 - x^16 + x^15 - x^13 + x^12 - x^10 + x^9 - x^7     + x^6 - x^4 + x^3 - x + 1-  '88': x^40 - x^36 + x^32 - x^28 + x^24 - x^20 + x^16 - x^12 + x^8 - x^4 + 1-  '89': x^88 + x^87 + x^86 + x^85 + x^84 + x^83 + x^82 + x^81 + x^80 + x^79 + x^78+- params:+    n: '88'+  number: x^40 - x^36 + x^32 - x^28 + x^24 - x^20 + x^16 - x^12 + x^8 - x^4 + 1+- params:+    n: '89'+  number: x^88 + x^87 + x^86 + x^85 + x^84 + x^83 + x^82 + x^81 + x^80 + x^79 + x^78     + x^77 + x^76 + x^75 + x^74 + x^73 + x^72 + x^71 + x^70 + x^69 + x^68 + x^67 +     x^66 + x^65 + x^64 + x^63 + x^62 + x^61 + x^60 + x^59 + x^58 + x^57 + x^56 + x^55
from line 409 (38 lines, 16 more than before) @@ -229,22 +409,38 @@ 
     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 + x^2 + x + 1-  '90': x^24 + x^21 - x^15 - x^12 - x^9 + x^3 + 1-  '91': x^72 - x^71 + x^65 - x^64 + x^59 - x^57 + x^52 - x^50 + x^46 - x^43 + x^39+- params:+    n: '90'+  number: x^24 + x^21 - x^15 - x^12 - x^9 + x^3 + 1+- params:+    n: '91'+  number: x^72 - x^71 + x^65 - x^64 + x^59 - x^57 + x^52 - x^50 + x^46 - x^43 + x^39     - x^36 + x^33 - x^29 + x^26 - x^22 + x^20 - x^15 + x^13 - x^8 + x^7 - x + 1-  '92': x^44 - x^42 + x^40 - x^38 + x^36 - x^34 + x^32 - x^30 + x^28 - x^26 + x^24+- params:+    n: '92'+  number: x^44 - x^42 + x^40 - x^38 + x^36 - x^34 + x^32 - x^30 + x^28 - x^26 + x^24     - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1-  '93': x^60 - x^59 + x^57 - x^56 + x^54 - x^53 + x^51 - x^50 + x^48 - x^47 + x^45+- params:+    n: '93'+  number: x^60 - x^59 + x^57 - x^56 + x^54 - x^53 + x^51 - x^50 + x^48 - x^47 + x^45     - x^44 + x^42 - x^41 + x^39 - x^38 + x^36 - x^35 + x^33 - x^32 + x^30 - x^28 +     x^27 - x^25 + x^24 - x^22 + x^21 - x^19 + x^18 - x^16 + x^15 - x^13 + x^12 - x^10     + x^9 - x^7 + x^6 - x^4 + x^3 - x + 1-  '94': x^46 - x^45 + x^44 - x^43 + x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36+- params:+    n: '94'+  number: 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^34 - x^33 + 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 + x^2 - x + 1-  '95': x^72 - x^71 + x^67 - x^66 + x^62 - x^61 + x^57 - x^56 + x^53 - x^51 + x^48+- params:+    n: '95'+  number: x^72 - x^71 + x^67 - x^66 + x^62 - x^61 + x^57 - x^56 + x^53 - x^51 + x^48     - x^46 + x^43 - x^41 + x^38 - x^36 + x^34 - x^31 + x^29 - x^26 + x^24 - x^21 +     x^19 - x^16 + x^15 - x^11 + x^10 - x^6 + x^5 - x + 1-  '96': x^32 - x^16 + 1-  '97': x^96 + x^95 + x^94 + x^93 + x^92 + x^91 + x^90 + x^89 + x^88 + x^87 + x^86+- params:+    n: '96'+  number: x^32 - x^16 + 1+- params:+    n: '97'+  number: x^96 + x^95 + x^94 + x^93 + x^92 + x^91 + x^90 + x^89 + x^88 + x^87 + x^86     + x^85 + x^84 + x^83 + x^82 + x^81 + x^80 + x^79 + x^78 + x^77 + x^76 + x^75 +     x^74 + x^73 + x^72 + x^71 + x^70 + x^69 + x^68 + x^67 + x^66 + x^65 + x^64 + x^63
from line 451 (12 lines, 6 more than before) @@ -255,6 +451,12 @@ 
     + 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 + x^2 + x + 1-  '98': x^42 - x^35 + x^28 - x^21 + x^14 - x^7 + 1-  '99': x^60 - x^57 + x^51 - x^48 + x^42 - x^39 + x^33 - x^30 + x^27 - x^21 + x^18+- params:+    n: '98'+  number: x^42 - x^35 + x^28 - x^21 + x^14 - x^7 + 1+- params:+    n: '99'+  number: x^60 - x^57 + x^51 - x^48 + x^42 - x^39 + x^33 - x^30 + x^27 - x^21 + x^18     - x^12 + x^9 - x^3 + 1-  '100': x^40 - x^30 + x^20 - x^10 + 1+- params:+    n: '100'+  number: x^40 - x^30 + x^20 - x^10 + 1

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