Documentation

LeanPool.BrillNoetherGraphs.LowGenus.GenusFiveRow04CoverCells0

Independent generated check. This module provides an additional generated proof of row 04 and is not imported by the main LowGenus root.

Generated cell chunk 0 of 2 for the AR row-04 chamber cover (cells 0-97). Split across modules because the kernel cost of replaying a cell is cumulative within one Lean process.

Closed-cover cell 0 for the fixed row-04 divisor, with 22 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 2, 3, 0, 0, 4]; cell0_check verifies its explicit-potential certificate.

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    Closed-cover cell 1 for the fixed row-04 divisor, with 23 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 2, 3, 0, 0, 5]; cell1_check verifies its explicit-potential certificate.

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      Closed-cover cell 2 for the fixed row-04 divisor, with 23 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 2, 3, 0, 0, 6]; cell2_check verifies its explicit-potential certificate.

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        Closed-cover cell 3 for the fixed row-04 divisor, with 23 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 2, 3, 0, 0, 7]; cell3_check verifies its explicit-potential certificate.

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          Closed-cover cell 4 for the fixed row-04 divisor, with 23 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 2, 8, 0, 0, 4]; cell4_check verifies its explicit-potential certificate.

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            Closed-cover cell 5 for the fixed row-04 divisor, with 23 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 2, 9, 0, 0, 4]; cell5_check verifies its explicit-potential certificate.

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              Closed-cover cell 6 for the fixed row-04 divisor, with 23 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 2, 10, 0, 0, 4]; cell6_check verifies its explicit-potential certificate.

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                Closed-cover cell 7 for the fixed row-04 divisor, with 24 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 2, 8, 0, 0, 5]; cell7_check verifies its explicit-potential certificate.

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                  Closed-cover cell 8 for the fixed row-04 divisor, with 24 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 2, 8, 0, 0, 6]; cell8_check verifies its explicit-potential certificate.

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                    Closed-cover cell 9 for the fixed row-04 divisor, with 24 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 2, 8, 0, 0, 7]; cell9_check verifies its explicit-potential certificate.

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                      Closed-cover cell 10 for the fixed row-04 divisor, with 24 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 2, 9, 0, 0, 5]; cell10_check verifies its explicit-potential certificate.

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                        Closed-cover cell 11 for the fixed row-04 divisor, with 24 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 2, 9, 0, 0, 6]; cell11_check verifies its explicit-potential certificate.

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                          Closed-cover cell 12 for the fixed row-04 divisor, with 24 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 2, 9, 0, 0, 7]; cell12_check verifies its explicit-potential certificate.

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                            Closed-cover cell 13 for the fixed row-04 divisor, with 24 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 2, 10, 0, 0, 5]; cell13_check verifies its explicit-potential certificate.

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                              Closed-cover cell 14 for the fixed row-04 divisor, with 24 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 2, 10, 0, 0, 6]; cell14_check verifies its explicit-potential certificate.

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                                Closed-cover cell 15 for the fixed row-04 divisor, with 24 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 2, 10, 0, 0, 7]; cell15_check verifies its explicit-potential certificate.

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                                  Closed-cover cell 16 for the fixed row-04 divisor, with 22 affine cone constraints. Anchors zero through seven use witness indices [0, 11, 0, 2, 12, 0, 0, 4]; cell16_check verifies its explicit-potential certificate.

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                                    Closed-cover cell 17 for the fixed row-04 divisor, with 21 affine cone constraints. Anchors zero through seven use witness indices [0, 8, 0, 2, 8, 0, 0, 4]; cell17_check verifies its explicit-potential certificate.

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                                      Closed-cover cell 18 for the fixed row-04 divisor, with 23 affine cone constraints. Anchors zero through seven use witness indices [0, 13, 0, 2, 14, 0, 0, 4]; cell18_check verifies its explicit-potential certificate.

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                                        Closed-cover cell 19 for the fixed row-04 divisor, with 23 affine cone constraints. Anchors zero through seven use witness indices [0, 15, 0, 2, 8, 0, 0, 4]; cell19_check verifies its explicit-potential certificate.

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                                          Closed-cover cell 20 for the fixed row-04 divisor, with 22 affine cone constraints. Anchors zero through seven use witness indices [0, 16, 0, 2, 9, 0, 0, 4]; cell20_check verifies its explicit-potential certificate.

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                                            Closed-cover cell 21 for the fixed row-04 divisor, with 24 affine cone constraints. Anchors zero through seven use witness indices [0, 17, 0, 2, 18, 0, 0, 4]; cell21_check verifies its explicit-potential certificate.

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                                              Closed-cover cell 22 for the fixed row-04 divisor, with 24 affine cone constraints. Anchors zero through seven use witness indices [0, 17, 0, 2, 10, 0, 0, 4]; cell22_check verifies its explicit-potential certificate.

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                                                Closed-cover cell 23 for the fixed row-04 divisor, with 24 affine cone constraints. Anchors zero through seven use witness indices [0, 19, 0, 2, 14, 0, 0, 4]; cell23_check verifies its explicit-potential certificate.

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                                                  Closed-cover cell 24 for the fixed row-04 divisor, with 23 affine cone constraints. Anchors zero through seven use witness indices [0, 20, 0, 2, 14, 0, 0, 4]; cell24_check verifies its explicit-potential certificate.

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                                                    Closed-cover cell 25 for the fixed row-04 divisor, with 24 affine cone constraints. Anchors zero through seven use witness indices [0, 15, 0, 2, 8, 0, 0, 5]; cell25_check verifies its explicit-potential certificate.

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                                                      Closed-cover cell 26 for the fixed row-04 divisor, with 24 affine cone constraints. Anchors zero through seven use witness indices [0, 15, 0, 2, 8, 0, 0, 6]; cell26_check verifies its explicit-potential certificate.

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                                                        Closed-cover cell 27 for the fixed row-04 divisor, with 24 affine cone constraints. Anchors zero through seven use witness indices [0, 15, 0, 2, 8, 0, 0, 7]; cell27_check verifies its explicit-potential certificate.

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                                                          Closed-cover cell 28 for the fixed row-04 divisor, with 25 affine cone constraints. Anchors zero through seven use witness indices [0, 15, 0, 2, 14, 0, 0, 5]; cell28_check verifies its explicit-potential certificate.

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                                                            Closed-cover cell 29 for the fixed row-04 divisor, with 25 affine cone constraints. Anchors zero through seven use witness indices [0, 15, 0, 2, 14, 0, 0, 6]; cell29_check verifies its explicit-potential certificate.

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                                                              Closed-cover cell 30 for the fixed row-04 divisor, with 25 affine cone constraints. Anchors zero through seven use witness indices [0, 15, 0, 2, 14, 0, 0, 7]; cell30_check verifies its explicit-potential certificate.

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                                                                Closed-cover cell 31 for the fixed row-04 divisor, with 25 affine cone constraints. Anchors zero through seven use witness indices [0, 19, 0, 2, 14, 0, 0, 5]; cell31_check verifies its explicit-potential certificate.

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                                                                  Closed-cover cell 32 for the fixed row-04 divisor, with 25 affine cone constraints. Anchors zero through seven use witness indices [0, 19, 0, 2, 14, 0, 0, 6]; cell32_check verifies its explicit-potential certificate.

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                                                                    Closed-cover cell 33 for the fixed row-04 divisor, with 25 affine cone constraints. Anchors zero through seven use witness indices [0, 19, 0, 2, 14, 0, 0, 7]; cell33_check verifies its explicit-potential certificate.

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                                                                      Closed-cover cell 34 for the fixed row-04 divisor, with 22 affine cone constraints. Anchors zero through seven use witness indices [0, 8, 0, 2, 8, 0, 0, 5]; cell34_check verifies its explicit-potential certificate.

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                                                                        Closed-cover cell 35 for the fixed row-04 divisor, with 22 affine cone constraints. Anchors zero through seven use witness indices [0, 8, 0, 2, 8, 0, 0, 6]; cell35_check verifies its explicit-potential certificate.

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                                                                          Closed-cover cell 36 for the fixed row-04 divisor, with 22 affine cone constraints. Anchors zero through seven use witness indices [0, 8, 0, 2, 8, 0, 0, 7]; cell36_check verifies its explicit-potential certificate.

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                                                                            Closed-cover cell 37 for the fixed row-04 divisor, with 24 affine cone constraints. Anchors zero through seven use witness indices [0, 13, 0, 2, 14, 0, 0, 5]; cell37_check verifies its explicit-potential certificate.

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                                                                              Closed-cover cell 38 for the fixed row-04 divisor, with 24 affine cone constraints. Anchors zero through seven use witness indices [0, 13, 0, 2, 14, 0, 0, 6]; cell38_check verifies its explicit-potential certificate.

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                                                                                Closed-cover cell 39 for the fixed row-04 divisor, with 24 affine cone constraints. Anchors zero through seven use witness indices [0, 13, 0, 2, 14, 0, 0, 7]; cell39_check verifies its explicit-potential certificate.

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                                                                                  Closed-cover cell 40 for the fixed row-04 divisor, with 23 affine cone constraints. Anchors zero through seven use witness indices [0, 16, 0, 2, 9, 0, 0, 5]; cell40_check verifies its explicit-potential certificate.

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                                                                                    Closed-cover cell 41 for the fixed row-04 divisor, with 23 affine cone constraints. Anchors zero through seven use witness indices [0, 16, 0, 2, 9, 0, 0, 6]; cell41_check verifies its explicit-potential certificate.

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                                                                                      Closed-cover cell 42 for the fixed row-04 divisor, with 23 affine cone constraints. Anchors zero through seven use witness indices [0, 16, 0, 2, 9, 0, 0, 7]; cell42_check verifies its explicit-potential certificate.

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                                                                                        Closed-cover cell 43 for the fixed row-04 divisor, with 25 affine cone constraints. Anchors zero through seven use witness indices [0, 17, 0, 2, 18, 0, 0, 5]; cell43_check verifies its explicit-potential certificate.

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                                                                                          Closed-cover cell 44 for the fixed row-04 divisor, with 25 affine cone constraints. Anchors zero through seven use witness indices [0, 17, 0, 2, 10, 0, 0, 5]; cell44_check verifies its explicit-potential certificate.

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                                                                                            Closed-cover cell 45 for the fixed row-04 divisor, with 25 affine cone constraints. Anchors zero through seven use witness indices [0, 17, 0, 2, 18, 0, 0, 6]; cell45_check verifies its explicit-potential certificate.

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                                                                                              Closed-cover cell 46 for the fixed row-04 divisor, with 25 affine cone constraints. Anchors zero through seven use witness indices [0, 17, 0, 2, 10, 0, 0, 6]; cell46_check verifies its explicit-potential certificate.

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                                                                                                Closed-cover cell 47 for the fixed row-04 divisor, with 25 affine cone constraints. Anchors zero through seven use witness indices [0, 17, 0, 2, 18, 0, 0, 7]; cell47_check verifies its explicit-potential certificate.

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                                                                                                  Closed-cover cell 48 for the fixed row-04 divisor, with 25 affine cone constraints. Anchors zero through seven use witness indices [0, 17, 0, 2, 10, 0, 0, 7]; cell48_check verifies its explicit-potential certificate.

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                                                                                                    Closed-cover cell 49 for the fixed row-04 divisor, with 23 affine cone constraints. Anchors zero through seven use witness indices [0, 17, 0, 2, 9, 0, 0, 4]; cell49_check verifies its explicit-potential certificate.

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                                                                                                      Closed-cover cell 50 for the fixed row-04 divisor, with 24 affine cone constraints. Anchors zero through seven use witness indices [0, 17, 0, 2, 9, 0, 0, 5]; cell50_check verifies its explicit-potential certificate.

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                                                                                                        Closed-cover cell 51 for the fixed row-04 divisor, with 24 affine cone constraints. Anchors zero through seven use witness indices [0, 17, 0, 2, 9, 0, 0, 6]; cell51_check verifies its explicit-potential certificate.

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                                                                                                          Closed-cover cell 52 for the fixed row-04 divisor, with 24 affine cone constraints. Anchors zero through seven use witness indices [0, 17, 0, 2, 9, 0, 0, 7]; cell52_check verifies its explicit-potential certificate.

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                                                                                                            Closed-cover cell 53 for the fixed row-04 divisor, with 22 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 21, 3, 0, 0, 22]; cell53_check verifies its explicit-potential certificate.

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                                                                                                              Closed-cover cell 54 for the fixed row-04 divisor, with 21 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 5, 3, 0, 0, 5]; cell54_check verifies its explicit-potential certificate.

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                                                                                                                Closed-cover cell 55 for the fixed row-04 divisor, with 23 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 23, 3, 0, 0, 24]; cell55_check verifies its explicit-potential certificate.

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                                                                                                                  Closed-cover cell 56 for the fixed row-04 divisor, with 22 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 25, 3, 0, 0, 6]; cell56_check verifies its explicit-potential certificate.

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                                                                                                                    Closed-cover cell 57 for the fixed row-04 divisor, with 23 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 26, 3, 0, 0, 5]; cell57_check verifies its explicit-potential certificate.

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                                                                                                                      Closed-cover cell 58 for the fixed row-04 divisor, with 24 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 27, 3, 0, 0, 28]; cell58_check verifies its explicit-potential certificate.

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                                                                                                                        Closed-cover cell 59 for the fixed row-04 divisor, with 24 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 27, 3, 0, 0, 7]; cell59_check verifies its explicit-potential certificate.

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                                                                                                                          Closed-cover cell 60 for the fixed row-04 divisor, with 24 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 29, 3, 0, 0, 24]; cell60_check verifies its explicit-potential certificate.

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                                                                                                                            Closed-cover cell 61 for the fixed row-04 divisor, with 24 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 26, 3, 0, 0, 24]; cell61_check verifies its explicit-potential certificate.

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                                                                                                                              Closed-cover cell 62 for the fixed row-04 divisor, with 23 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 27, 3, 0, 0, 6]; cell62_check verifies its explicit-potential certificate.

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                                                                                                                                Closed-cover cell 63 for the fixed row-04 divisor, with 23 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 21, 8, 0, 0, 22]; cell63_check verifies its explicit-potential certificate.

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                                                                                                                                  Closed-cover cell 64 for the fixed row-04 divisor, with 24 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 26, 8, 0, 0, 5]; cell64_check verifies its explicit-potential certificate.

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                                                                                                                                    Closed-cover cell 65 for the fixed row-04 divisor, with 25 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 26, 8, 0, 0, 24]; cell65_check verifies its explicit-potential certificate.

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                                                                                                                                      Closed-cover cell 66 for the fixed row-04 divisor, with 22 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 5, 8, 0, 0, 5]; cell66_check verifies its explicit-potential certificate.

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                                                                                                                                        Closed-cover cell 67 for the fixed row-04 divisor, with 23 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 25, 8, 0, 0, 6]; cell67_check verifies its explicit-potential certificate.

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                                                                                                                                          Closed-cover cell 68 for the fixed row-04 divisor, with 25 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 27, 8, 0, 0, 28]; cell68_check verifies its explicit-potential certificate.

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                                                                                                                                            Closed-cover cell 69 for the fixed row-04 divisor, with 25 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 27, 8, 0, 0, 7]; cell69_check verifies its explicit-potential certificate.

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                                                                                                                                              Closed-cover cell 70 for the fixed row-04 divisor, with 24 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 23, 8, 0, 0, 24]; cell70_check verifies its explicit-potential certificate.

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                                                                                                                                                Closed-cover cell 71 for the fixed row-04 divisor, with 25 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 29, 8, 0, 0, 24]; cell71_check verifies its explicit-potential certificate.

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                                                                                                                                                  Closed-cover cell 72 for the fixed row-04 divisor, with 23 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 21, 9, 0, 0, 22]; cell72_check verifies its explicit-potential certificate.

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                                                                                                                                                    Closed-cover cell 73 for the fixed row-04 divisor, with 22 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 5, 9, 0, 0, 5]; cell73_check verifies its explicit-potential certificate.

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                                                                                                                                                      Closed-cover cell 74 for the fixed row-04 divisor, with 24 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 23, 9, 0, 0, 24]; cell74_check verifies its explicit-potential certificate.

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                                                                                                                                                        Closed-cover cell 75 for the fixed row-04 divisor, with 24 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 26, 9, 0, 0, 5]; cell75_check verifies its explicit-potential certificate.

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                                                                                                                                                          Closed-cover cell 76 for the fixed row-04 divisor, with 23 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 25, 9, 0, 0, 6]; cell76_check verifies its explicit-potential certificate.

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                                                                                                                                                            Closed-cover cell 77 for the fixed row-04 divisor, with 25 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 27, 9, 0, 0, 28]; cell77_check verifies its explicit-potential certificate.

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                                                                                                                                                              Closed-cover cell 78 for the fixed row-04 divisor, with 25 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 27, 9, 0, 0, 7]; cell78_check verifies its explicit-potential certificate.

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                                                                                                                                                                Closed-cover cell 79 for the fixed row-04 divisor, with 25 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 29, 9, 0, 0, 24]; cell79_check verifies its explicit-potential certificate.

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                                                                                                                                                                  Closed-cover cell 80 for the fixed row-04 divisor, with 23 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 21, 10, 0, 0, 22]; cell80_check verifies its explicit-potential certificate.

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                                                                                                                                                                    Closed-cover cell 81 for the fixed row-04 divisor, with 22 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 5, 10, 0, 0, 5]; cell81_check verifies its explicit-potential certificate.

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                                                                                                                                                                      Closed-cover cell 82 for the fixed row-04 divisor, with 24 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 23, 10, 0, 0, 24]; cell82_check verifies its explicit-potential certificate.

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                                                                                                                                                                        Closed-cover cell 83 for the fixed row-04 divisor, with 24 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 26, 10, 0, 0, 5]; cell83_check verifies its explicit-potential certificate.

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                                                                                                                                                                          Closed-cover cell 84 for the fixed row-04 divisor, with 23 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 25, 10, 0, 0, 6]; cell84_check verifies its explicit-potential certificate.

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                                                                                                                                                                            Closed-cover cell 85 for the fixed row-04 divisor, with 25 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 27, 10, 0, 0, 28]; cell85_check verifies its explicit-potential certificate.

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                                                                                                                                                                              Closed-cover cell 86 for the fixed row-04 divisor, with 25 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 27, 10, 0, 0, 7]; cell86_check verifies its explicit-potential certificate.

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                                                                                                                                                                                Closed-cover cell 87 for the fixed row-04 divisor, with 25 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 29, 10, 0, 0, 24]; cell87_check verifies its explicit-potential certificate.

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                                                                                                                                                                                  Closed-cover cell 88 for the fixed row-04 divisor, with 24 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 27, 8, 0, 0, 6]; cell88_check verifies its explicit-potential certificate.

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                                                                                                                                                                                    Closed-cover cell 89 for the fixed row-04 divisor, with 24 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 27, 9, 0, 0, 6]; cell89_check verifies its explicit-potential certificate.

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                                                                                                                                                                                      Closed-cover cell 90 for the fixed row-04 divisor, with 24 affine cone constraints. Anchors zero through seven use witness indices [0, 1, 0, 27, 10, 0, 0, 6]; cell90_check verifies its explicit-potential certificate.

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                                                                                                                                                                                        Closed-cover cell 91 for the fixed row-04 divisor, with 21 affine cone constraints. Anchors zero through seven use witness indices [0, 8, 0, 21, 8, 0, 0, 22]; cell91_check verifies its explicit-potential certificate.

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                                                                                                                                                                                          Closed-cover cell 92 for the fixed row-04 divisor, with 20 affine cone constraints. Anchors zero through seven use witness indices [0, 8, 0, 5, 8, 0, 0, 5]; cell92_check verifies its explicit-potential certificate.

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                                                                                                                                                                                            Closed-cover cell 93 for the fixed row-04 divisor, with 22 affine cone constraints. Anchors zero through seven use witness indices [0, 8, 0, 26, 8, 0, 0, 5]; cell93_check verifies its explicit-potential certificate.

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                                                                                                                                                                                              Closed-cover cell 94 for the fixed row-04 divisor, with 21 affine cone constraints. Anchors zero through seven use witness indices [0, 8, 0, 25, 8, 0, 0, 6]; cell94_check verifies its explicit-potential certificate.

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                                                                                                                                                                                                Closed-cover cell 95 for the fixed row-04 divisor, with 23 affine cone constraints. Anchors zero through seven use witness indices [0, 8, 0, 27, 8, 0, 0, 28]; cell95_check verifies its explicit-potential certificate.

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                                                                                                                                                                                                  Closed-cover cell 96 for the fixed row-04 divisor, with 23 affine cone constraints. Anchors zero through seven use witness indices [0, 8, 0, 27, 8, 0, 0, 7]; cell96_check verifies its explicit-potential certificate.

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                                                                                                                                                                                                    Closed-cover cell 97 for the fixed row-04 divisor, with 22 affine cone constraints. Anchors zero through seven use witness indices [0, 8, 0, 23, 8, 0, 0, 24]; cell97_check verifies its explicit-potential certificate.

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                                                                                                                                                                                                      The ordered row-04 closed-cover cell block with global indices 0 through 97, used when assembling the full 195-cell cover.

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