History of Shapiro polynomials $P_n$

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2026-09-18 02:01 zeta3 table-repair@2.0+dc0f96a0 clarify Shapiro formulas and Sage program current reviewed
2026-09-18 01:35 zeta3 table-build@2.0+395f185d complete Shapiro polynomial metadata
2026-09-18 01:35 zeta3 table-build@2.0+395f185d attach the Shapiro polynomial generator
2026-09-18 01:30 zeta3 table-build@2.0+395f185d claim Shapiro polynomials

What changed between 2026-09-18 01:30 and 2026-09-18 01:35

from line 10 (47 lines, 45 more than before) @@ -10,2 +10,47 @@
 Data properties:   type: Z[]+  rigour: exact+Numbers:+- params:+    n: '0'+  number: '1'+- params:+    n: '1'+  number: x + 1+- params:+    n: '2'+  number: -x^3 + x^2 + x + 1+- params:+    n: '3'+  number: x^7 - x^6 + x^5 + x^4 - x^3 + x^2 + x + 1+- params:+    n: '4'+  number: -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: '5'+  number: 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+- params:+    n: '6'+  number: -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 + 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+- params:+    n: '7'+  number: x^127 - x^126 + x^125 + x^124 + x^123 - x^122 - x^121 - x^120 + x^119 -+    x^118 + x^117 + x^116 - x^115 + x^114 + x^113 + x^112 + x^111 - x^110 + x^109+    + x^108 + x^107 - x^106 - x^105 - x^104 - x^103 + x^102 - x^101 - x^100 + x^99+    - x^98 - x^97 - 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 + 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 + 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 

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