{
  "figure_id": "M3",
  "title": "Direct probes of trace balance and contraction",
  "description": "Measured finite offsets, before/after saddle-axis traces, and six zero candidates.",
  "alt_text": "Four panels of direct spectral measurements. Near the candidate memory setting, negative offsets along the tested determinant-gradient direction lower the pair radius. At lower and higher memory, trace sign brackets exchange the negative- and positive-curvature axes. Six evaluated trace-zero candidates at higher memory lie on either side of the continued center; no connecting curves are drawn. Dashed segments between other measured points only guide the eye.",
  "data_source": {
    "artifact": "memory-connection-probe-receipt.json",
    "sha256": "2d1880906178d5f5929008cf1b2795f08d5206e219082e8fd2713b1ba516399a",
    "source_commit": "63a19e7f076cf45665ddb6dd12270f3c16d156a5",
    "fields": [
      "measurements.candidate_tilt",
      "measurements.before_after_axes",
      "measurements.trace_roots"
    ],
    "selection": "All completed planned candidate offsets, both sampled saddle axes at each before/after beta, and all six located roots. No failed points excluded.",
    "transformation": "Pair-radius differences relative to candidate; trace at each axis sample; scaled root coordinates projected into the saved saddle basis.",
    "audit_sha256": "5674b72568c9536a26f7ad856338d42595c211254854389499f72edc6570cb29"
  },
  "plotted_data": {
    "candidate_tilt": {
      "beta": 0.006448531026086656,
      "center": [
        89.6527330293985,
        -485.8355739013149
      ],
      "direction": [
        0.46109953905270057,
        -0.8873484180891894
      ],
      "status": "complete",
      "center_point": {
        "index": 3,
        "coordinate": [
          89.6527330293985,
          -485.8355739013149
        ],
        "beta": 0.006448531026086656,
        "alpha": 0.07331776448598727,
        "log10_temperature": -0.15804614858293237,
        "tau": 1.6365473216775183e-10,
        "delta": -6.759154046518552e-09,
        "radius": 8.221415633122003e-05,
        "phases": [
          0,
          6,
          12
        ]
      },
      "symmetric_slopes": [
        {
          "step": 0.0001,
          "tau": 2.001765452615961e-09,
          "delta": -9.863597156690013e-10,
          "radius": 5.999728725040185e-06
        },
        {
          "step": 0.0003,
          "tau": 1.860698055775161e-09,
          "delta": -9.863575875773035e-10,
          "radius": 5.997784543891467e-06
        }
      ],
      "samples": [
        {
          "offset": -0.0003,
          "point_index": 4,
          "radius_difference": -1.2770975078781228e-09,
          "point": {
            "index": 4,
            "coordinate": [
              89.65259469953679,
              -485.83530769678947
            ],
            "beta": 0.006448531026086656,
            "alpha": 0.07331776414016261,
            "log10_temperature": -0.1580461465863984,
            "tau": -1.208657711187968e-09,
            "delta": -6.758858144666495e-09,
            "radius": 8.221287923371215e-05,
            "phases": [
              0
            ]
          }
        },
        {
          "offset": -0.0001,
          "point_index": 5,
          "radius_difference": -6.761706274510974e-10,
          "point": {
            "index": 5,
            "coordinate": [
              89.6526869194446,
              -485.83548516647306
            ],
            "beta": 0.006448531026086656,
            "alpha": 0.07331776437071238,
            "log10_temperature": -0.15804614791742105,
            "tau": 1.1031370058416957e-11,
            "delta": -6.759055413188826e-09,
            "radius": 8.221348016059258e-05,
            "phases": [
              0
            ]
          }
        },
        {
          "offset": 0.0001,
          "point_index": 6,
          "radius_difference": 5.237751175569396e-10,
          "point": {
            "index": 6,
            "coordinate": [
              89.6527791393524,
              -485.8356626361567
            ],
            "beta": 0.006448531026086656,
            "alpha": 0.07331776460126216,
            "log10_temperature": -0.15804614924844368,
            "tau": 1.143172314894015e-11,
            "delta": -6.75925268513196e-09,
            "radius": 8.221468010633759e-05,
            "phases": [
              0
            ]
          }
        },
        {
          "offset": 0.0003,
          "point_index": 7,
          "radius_difference": 2.3215732184567574e-09,
          "point": {
            "index": 7,
            "coordinate": [
              89.65287135926022,
              -485.8358401058403
            ],
            "beta": 0.006448531026086656,
            "alpha": 0.07331776483181192,
            "log10_temperature": -0.1580461505794663,
            "tau": -1.207541292354503e-09,
            "delta": -6.759449959219041e-09,
            "radius": 8.221647790443849e-05,
            "phases": [
              0
            ]
          }
        }
      ]
    },
    "before_after_axes": [
      {
        "beta": 0.006,
        "negative_axis_brackets": 2,
        "positive_axis_brackets": 0,
        "center": [
          83.66408781630544,
          -451.2254458405915
        ],
        "hessian_eigenvalues": [
          -0.04377529041742482,
          0.013464362774872621
        ],
        "axes": [
          {
            "label": "negative curvature",
            "direction": [
              0.8228035694924429,
              -0.5683258625388208
            ],
            "samples": [
              {
                "offset": -0.1,
                "point_index": 8,
                "point": {
                  "index": 8,
                  "coordinate": [
                    83.5818074593562,
                    -451.1686132543376
                  ],
                  "beta": 0.006,
                  "alpha": 0.07330258717206216,
                  "log10_temperature": -0.15778614637808003,
                  "tau": -0.00017936781858903864,
                  "delta": -8.908980042595025e-09,
                  "radius": 0.00021988446086379108,
                  "phases": [
                    0
                  ]
                }
              },
              {
                "offset": -0.05,
                "point_index": 9,
                "point": {
                  "index": 9,
                  "coordinate": [
                    83.62294763783082,
                    -451.1970295474645
                  ],
                  "beta": 0.006,
                  "alpha": 0.07330269002250835,
                  "log10_temperature": -0.15778635950027847,
                  "tau": -1.5241988932231066e-05,
                  "delta": -8.971998364264339e-09,
                  "radius": 0.0001026477166074001,
                  "phases": [
                    0
                  ]
                }
              },
              {
                "offset": 0.0,
                "point_index": 1,
                "point": {
                  "index": 1,
                  "coordinate": [
                    83.66408781630544,
                    -451.2254458405915
                  ],
                  "beta": 0.006,
                  "alpha": 0.07330279287295453,
                  "log10_temperature": -0.15778657262247692,
                  "tau": 3.9471974429557634e-05,
                  "delta": -9.035018079600769e-09,
                  "radius": 0.00011681599170047444,
                  "phases": [
                    0,
                    6,
                    12
                  ]
                }
              },
              {
                "offset": 0.05,
                "point_index": 10,
                "point": {
                  "index": 10,
                  "coordinate": [
                    83.70522799478006,
                    -451.2538621337184
                  ],
                  "beta": 0.006,
                  "alpha": 0.07330289572340072,
                  "log10_temperature": -0.1577867857446754,
                  "tau": -1.5244474875951555e-05,
                  "delta": -9.098030105571838e-09,
                  "radius": 0.00010330989917726544,
                  "phases": [
                    0
                  ]
                }
              },
              {
                "offset": 0.1,
                "point_index": 11,
                "point": {
                  "index": 11,
                  "coordinate": [
                    83.74636817325468,
                    -451.2822784268454
                  ],
                  "beta": 0.006,
                  "alpha": 0.07330299857384691,
                  "log10_temperature": -0.15778699886687383,
                  "tau": -0.0001793158077174488,
                  "delta": -9.161025328921607e-09,
                  "radius": 0.0002208050161153878,
                  "phases": [
                    0
                  ]
                }
              }
            ]
          },
          {
            "label": "positive curvature",
            "direction": [
              0.5683258625388208,
              0.8228035694924429
            ],
            "samples": [
              {
                "offset": -0.1,
                "point_index": 12,
                "point": {
                  "index": 12,
                  "coordinate": [
                    83.60725523005156,
                    -451.3077261975407
                  ],
                  "beta": 0.006,
                  "alpha": 0.0733026507914889,
                  "log10_temperature": -0.15778718972515404,
                  "tau": 0.00010641465760342858,
                  "delta": -9.089501845078449e-09,
                  "radius": 0.00016238847041184852,
                  "phases": [
                    0
                  ]
                }
              },
              {
                "offset": -0.05,
                "point_index": 13,
                "point": {
                  "index": 13,
                  "coordinate": [
                    83.6356715231785,
                    -451.2665860190661
                  ],
                  "beta": 0.006,
                  "alpha": 0.07330272183222172,
                  "log10_temperature": -0.15778688117381548,
                  "tau": 5.626493260729327e-05,
                  "delta": -9.062263807045526e-09,
                  "radius": 0.00012739826840775165,
                  "phases": [
                    0
                  ]
                }
              },
              {
                "offset": 0.0,
                "point_index": 1,
                "point": {
                  "index": 1,
                  "coordinate": [
                    83.66408781630544,
                    -451.2254458405915
                  ],
                  "beta": 0.006,
                  "alpha": 0.07330279287295453,
                  "log10_temperature": -0.15778657262247692,
                  "tau": 3.9471974429557634e-05,
                  "delta": -9.035018079600769e-09,
                  "radius": 0.00011681599170047444,
                  "phases": [
                    0,
                    6,
                    12
                  ]
                }
              },
              {
                "offset": 0.05,
                "point_index": 14,
                "point": {
                  "index": 14,
                  "coordinate": [
                    83.69250410943238,
                    -451.18430566211686
                  ],
                  "beta": 0.006,
                  "alpha": 0.07330286391368736,
                  "log10_temperature": -0.15778626407113838,
                  "tau": 5.6340420698460734e-05,
                  "delta": -9.007764161307687e-09,
                  "radius": 0.00012717185130748708,
                  "phases": [
                    0
                  ]
                }
              },
              {
                "offset": 0.1,
                "point_index": 15,
                "point": {
                  "index": 15,
                  "coordinate": [
                    83.72092040255932,
                    -451.14316548364224
                  ],
                  "beta": 0.006,
                  "alpha": 0.07330293495442017,
                  "log10_temperature": -0.15778595551979982,
                  "tau": 0.0001071806009213347,
                  "delta": -8.980501539460859e-09,
                  "radius": 0.00016245912907072204,
                  "phases": [
                    0
                  ]
                }
              }
            ]
          }
        ]
      },
      {
        "beta": 0.007,
        "negative_axis_brackets": 0,
        "positive_axis_brackets": 2,
        "center": [
          96.9595596131848,
          -528.5492226107006
        ],
        "hessian_eigenvalues": [
          -0.04122316238527642,
          0.013120792250643281
        ],
        "axes": [
          {
            "label": "negative curvature",
            "direction": [
              0.8194600473034331,
              -0.5731363109012159
            ],
            "samples": [
              {
                "offset": -0.1,
                "point_index": 16,
                "point": {
                  "index": 16,
                  "coordinate": [
                    96.87761360845445,
                    -528.4919089796105
                  ],
                  "beta": 0.007,
                  "alpha": 0.07333582668743491,
                  "log10_temperature": -0.15836607109601958,
                  "tau": -0.00025606516986263896,
                  "delta": -3.4280980157014518e-09,
                  "radius": 0.0002688176722804311,
                  "phases": [
                    0
                  ]
                }
              },
              {
                "offset": -0.05,
                "point_index": 17,
                "point": {
                  "index": 17,
                  "coordinate": [
                    96.91858661081962,
                    -528.5205657951554
                  ],
                  "beta": 0.007,
                  "alpha": 0.07333592911994082,
                  "log10_temperature": -0.15836628602213615,
                  "tau": -0.00010151104900976333,
                  "delta": -3.4437237567052436e-09,
                  "radius": 0.0001283431976525595,
                  "phases": [
                    0
                  ]
                }
              },
              {
                "offset": 0.0,
                "point_index": 2,
                "point": {
                  "index": 2,
                  "coordinate": [
                    96.9595596131848,
                    -528.5492226107006
                  ],
                  "beta": 0.007,
                  "alpha": 0.07333603155244674,
                  "log10_temperature": -0.15836650094825275,
                  "tau": -4.998741726772579e-05,
                  "delta": -3.459418055421524e-09,
                  "radius": 8.890069985310241e-05,
                  "phases": [
                    0,
                    6,
                    12
                  ]
                }
              },
              {
                "offset": 0.05,
                "point_index": 18,
                "point": {
                  "index": 18,
                  "coordinate": [
                    97.00053261554997,
                    -528.5778794262457
                  ],
                  "beta": 0.007,
                  "alpha": 0.07333613398495265,
                  "log10_temperature": -0.15836671587436935,
                  "tau": -0.00010151476720431854,
                  "delta": -3.4751823355823423e-09,
                  "radius": 0.0001285487348291375,
                  "phases": [
                    0
                  ]
                }
              },
              {
                "offset": 0.1,
                "point_index": 19,
                "point": {
                  "index": 19,
                  "coordinate": [
                    97.04150561791513,
                    -528.6065362417906
                  ],
                  "beta": 0.007,
                  "alpha": 0.07333623641745857,
                  "log10_temperature": -0.15836693080048592,
                  "tau": -0.0002560302780719222,
                  "delta": -3.4910179846914834e-09,
                  "radius": 0.00026900767006894855,
                  "phases": [
                    0
                  ]
                }
              }
            ]
          },
          {
            "label": "positive curvature",
            "direction": [
              0.5731363109012159,
              0.8194600473034331
            ],
            "samples": [
              {
                "offset": -0.1,
                "point_index": 20,
                "point": {
                  "index": 20,
                  "coordinate": [
                    96.90224598209467,
                    -528.6311686154309
                  ],
                  "beta": 0.007,
                  "alpha": 0.07333588826836901,
                  "log10_temperature": -0.15836711554328822,
                  "tau": 1.5251957724140296e-05,
                  "delta": -3.4921002502384886e-09,
                  "radius": 6.721000192063199e-05,
                  "phases": [
                    0
                  ]
                }
              },
              {
                "offset": -0.05,
                "point_index": 21,
                "point": {
                  "index": 21,
                  "coordinate": [
                    96.93090279763973,
                    -528.5901956130657
                  ],
                  "beta": 0.007,
                  "alpha": 0.07333595991040787,
                  "log10_temperature": -0.15836680824577049,
                  "tau": -3.362269476592269e-05,
                  "delta": -3.475727754797598e-09,
                  "radius": 7.811672362051656e-05,
                  "phases": [
                    0
                  ]
                }
              },
              {
                "offset": 0.0,
                "point_index": 2,
                "point": {
                  "index": 2,
                  "coordinate": [
                    96.9595596131848,
                    -528.5492226107006
                  ],
                  "beta": 0.007,
                  "alpha": 0.07333603155244674,
                  "log10_temperature": -0.15836650094825275,
                  "tau": -4.998741726772579e-05,
                  "delta": -3.459418055421524e-09,
                  "radius": 8.890069985310241e-05,
                  "phases": [
                    0,
                    6,
                    12
                  ]
                }
              },
              {
                "offset": 0.05,
                "point_index": 22,
                "point": {
                  "index": 22,
                  "coordinate": [
                    96.98821642872986,
                    -528.5082496083354
                  ],
                  "beta": 0.007,
                  "alpha": 0.0733361031944856,
                  "log10_temperature": -0.158366193650735,
                  "tau": -3.354968901687964e-05,
                  "delta": -3.443171031268585e-09,
                  "radius": 7.780407061815645e-05,
                  "phases": [
                    0
                  ]
                }
              },
              {
                "offset": 0.1,
                "point_index": 23,
                "point": {
                  "index": 23,
                  "coordinate": [
                    97.01687324427492,
                    -528.4672766059703
                  ],
                  "beta": 0.007,
                  "alpha": 0.07333617483652446,
                  "log10_temperature": -0.15836588635321727,
                  "tau": 1.5988412242849e-05,
                  "delta": -3.426986560315525e-09,
                  "radius": 6.70779931685269e-05,
                  "phases": [
                    0
                  ]
                }
              }
            ]
          }
        ]
      }
    ],
    "trace_roots": [
      {
        "beta": 0.007,
        "center": [
          96.9595596131848,
          -528.5492226107006
        ],
        "slice_basis": [
          [
            0.5731363283106345,
            0.819460035127159
          ],
          [
            0.819460035127159,
            -0.5731363283106345
          ]
        ],
        "along": -0.08749887019508948,
        "transverse": 0.0,
        "side": "negative",
        "primary_point_index": 48,
        "cyclic_point_index": 49,
        "status": "complete",
        "radius_offsets": [
          {
            "offset": -0.003,
            "point_index": 50,
            "radius_difference": 1.6955460186012672e-06,
            "point": {
              "index": 50,
              "coordinate": [
                96.911130468956,
                -528.6184662173063
              ],
              "beta": 0.007,
              "alpha": 0.07333591047958617,
              "log10_temperature": -0.15836702027530228,
              "tau": -3.359954158435442e-06,
              "delta": -3.4870177705572745e-09,
              "radius": 6.075484562366707e-05,
              "phases": [
                0
              ]
            }
          },
          {
            "offset": 0.003,
            "point_index": 51,
            "radius_difference": 1.77199647325672e-06,
            "point": {
              "index": 51,
              "coordinate": [
                96.90769119502369,
                -528.623382658582
              ],
              "beta": 0.007,
              "alpha": 0.07333590188140134,
              "log10_temperature": -0.15836705714861185,
              "tau": 3.47621070789941e-06,
              "delta": -3.488984179765673e-09,
              "radius": 6.0831296078322525e-05,
              "phases": [
                0
              ]
            }
          }
        ],
        "tau": -1.2908431105702195e-13,
        "delta": -3.488000862217297e-09,
        "radius": 5.9059299605065805e-05,
        "sampled_radius_comparison": "root below both sampled offsets",
        "primary_point": {
          "index": 48,
          "coordinate": [
            96.90941083198985,
            -528.6209244379442
          ],
          "beta": 0.007,
          "alpha": 0.07333590618049375,
          "log10_temperature": -0.15836703871195706,
          "tau": -1.404804210783893e-13,
          "delta": -3.4880008618214646e-09,
          "radius": 5.9059299607412716e-05,
          "phases": [
            0
          ]
        },
        "cyclic_point": {
          "index": 49,
          "coordinate": [
            96.90941083198985,
            -528.6209244379442
          ],
          "beta": 0.007,
          "alpha": 0.07333590618049375,
          "log10_temperature": -0.15836703871195706,
          "tau": -1.2908431105702195e-13,
          "delta": -3.488000862217297e-09,
          "radius": 5.9059299605065805e-05,
          "phases": [
            0,
            6,
            12
          ]
        }
      },
      {
        "beta": 0.007,
        "center": [
          96.9595596131848,
          -528.5492226107006
        ],
        "slice_basis": [
          [
            0.5731363283106345,
            0.819460035127159
          ],
          [
            0.819460035127159,
            -0.5731363283106345
          ]
        ],
        "along": 0.08708044277891848,
        "transverse": 0.0,
        "side": "positive",
        "primary_point_index": 60,
        "cyclic_point_index": 62,
        "status": "complete",
        "radius_offsets": [
          {
            "offset": -0.003,
            "point_index": 63,
            "radius_difference": 1.7299115196851812e-06,
            "point": {
              "index": 63,
              "coordinate": [
                97.007749398634,
                -528.4803222083902
              ],
              "beta": 0.007,
              "alpha": 0.07333615202691036,
              "log10_temperature": -0.15836598419523543,
              "tau": -3.3941167217985016e-06,
              "delta": -3.4321328605784413e-09,
              "radius": 6.0306041184854994e-05,
              "phases": [
                0
              ]
            }
          },
          {
            "offset": 0.003,
            "point_index": 64,
            "radius_difference": 1.7750983521572857e-06,
            "point": {
              "index": 64,
              "coordinate": [
                97.01118775821952,
                -528.475405127614
              ],
              "beta": 0.007,
              "alpha": 0.07333616062280932,
              "log10_temperature": -0.1583659473171296,
              "tau": 3.5140687229061438e-06,
              "delta": -3.430192360434741e-09,
              "radius": 6.03512280173271e-05,
              "phases": [
                0
              ]
            }
          }
        ],
        "tau": -7.994100498752432e-12,
        "delta": -3.4311624982873196e-09,
        "radius": 5.857612966516981e-05,
        "sampled_radius_comparison": "root below both sampled offsets",
        "primary_point": {
          "index": 60,
          "coordinate": [
            97.00946857842676,
            -528.4778636680021
          ],
          "beta": 0.007,
          "alpha": 0.07333615632485985,
          "log10_temperature": -0.1583659657561825,
          "tau": -7.989703943746523e-12,
          "delta": -3.4311624986327767e-09,
          "radius": 5.8576129665920324e-05,
          "phases": [
            0
          ]
        },
        "cyclic_point": {
          "index": 62,
          "coordinate": [
            97.00946857842676,
            -528.4778636680021
          ],
          "beta": 0.007,
          "alpha": 0.07333615632485985,
          "log10_temperature": -0.1583659657561825,
          "tau": -7.994100498752432e-12,
          "delta": -3.4311624982873196e-09,
          "radius": 5.857612966516981e-05,
          "phases": [
            0,
            6,
            12
          ]
        }
      },
      {
        "beta": 0.007,
        "center": [
          96.9595596131848,
          -528.5492226107006
        ],
        "slice_basis": [
          [
            0.5731363283106345,
            0.819460035127159
          ],
          [
            0.819460035127159,
            -0.5731363283106345
          ]
        ],
        "along": -0.17064531548429293,
        "transverse": -0.08,
        "side": "negative",
        "primary_point_index": 72,
        "cyclic_point_index": 74,
        "status": "complete",
        "radius_offsets": [
          {
            "offset": -0.003,
            "point_index": 75,
            "radius_difference": 6.4786099851624595e-06,
            "point": {
              "index": 75,
              "coordinate": [
                96.79513185356487,
                -528.6404052350781
              ],
              "beta": 0.007,
              "alpha": 0.07333562048304769,
              "log10_temperature": -0.15836718481793557,
              "tau": -1.2337305687213627e-05,
              "delta": -3.488852066723918e-09,
              "radius": 6.555639858823713e-05,
              "phases": [
                0
              ]
            }
          },
          {
            "offset": 0.003,
            "point_index": 76,
            "radius_difference": 6.3795194713652775e-06,
            "point": {
              "index": 76,
              "coordinate": [
                96.79726770806423,
                -528.6460122062354
              ],
              "beta": 0.007,
              "alpha": 0.07333562582268394,
              "log10_temperature": -0.15836722687021926,
              "tau": 1.2116925471814117e-05,
              "delta": -3.491517856828576e-09,
              "radius": 6.545730807443995e-05,
              "phases": [
                0
              ]
            }
          }
        ],
        "tau": -4.841179621897437e-12,
        "delta": -3.4901848202233934e-09,
        "radius": 5.907778860307467e-05,
        "sampled_radius_comparison": "root below both sampled offsets",
        "primary_point": {
          "index": 72,
          "coordinate": [
            96.79619978081455,
            -528.6432087206567
          ],
          "beta": 0.007,
          "alpha": 0.0733356231528658,
          "log10_temperature": -0.15836720584407743,
          "tau": -4.830136528103431e-12,
          "delta": -3.4901848203104856e-09,
          "radius": 5.907778859829022e-05,
          "phases": [
            0
          ]
        },
        "cyclic_point": {
          "index": 74,
          "coordinate": [
            96.79619978081455,
            -528.6432087206567
          ],
          "beta": 0.007,
          "alpha": 0.0733356231528658,
          "log10_temperature": -0.15836720584407743,
          "tau": -4.841179621897437e-12,
          "delta": -3.4901848202233934e-09,
          "radius": 5.907778860307467e-05,
          "phases": [
            0,
            6,
            12
          ]
        }
      },
      {
        "beta": 0.007,
        "center": [
          96.9595596131848,
          -528.5492226107006
        ],
        "slice_basis": [
          [
            0.5731363283106345,
            0.819460035127159
          ],
          [
            0.819460035127159,
            -0.5731363283106345
          ]
        ],
        "along": 0.16365533382664615,
        "transverse": -0.08,
        "side": "positive",
        "primary_point_index": 83,
        "cyclic_point_index": 85,
        "status": "complete",
        "radius_offsets": [
          {
            "offset": -0.003,
            "point_index": 86,
            "radius_difference": 6.1315276650296304e-06,
            "point": {
              "index": 86,
              "coordinate": [
                96.98480128136255,
                -528.3691630977993
              ],
              "beta": 0.007,
              "alpha": 0.07333609465661718,
              "log10_temperature": -0.158365150501906,
              "tau": -1.1682217839228834e-05,
              "delta": -3.381212517465781e-09,
              "radius": 6.428194285340236e-05,
              "phases": [
                0
              ]
            }
          },
          {
            "offset": 0.003,
            "point_index": 87,
            "radius_difference": 6.015636515284493e-06,
            "point": {
              "index": 87,
              "coordinate": [
                96.9907979736624,
                -528.3693622998595
              ],
              "beta": 0.007,
              "alpha": 0.07333610964834793,
              "log10_temperature": -0.15836515199592144,
              "tau": 1.1463299917200214e-05,
              "delta": -3.381727496054813e-09,
              "radius": 6.416605170365722e-05,
              "phases": [
                0
              ]
            }
          }
        ],
        "tau": -1.506362558561375e-11,
        "delta": -3.3814699106240475e-09,
        "radius": 5.815041518837273e-05,
        "sampled_radius_comparison": "root below both sampled offsets",
        "primary_point": {
          "index": 83,
          "coordinate": [
            96.98779962751247,
            -528.3692626988294
          ],
          "beta": 0.007,
          "alpha": 0.07333610215248255,
          "log10_temperature": -0.1583651512489137,
          "tau": -1.5069251551344358e-11,
          "delta": -3.381469911588981e-09,
          "radius": 5.815041519948259e-05,
          "phases": [
            0
          ]
        },
        "cyclic_point": {
          "index": 85,
          "coordinate": [
            96.98779962751247,
            -528.3692626988294
          ],
          "beta": 0.007,
          "alpha": 0.07333610215248255,
          "log10_temperature": -0.1583651512489137,
          "tau": -1.506362558561375e-11,
          "delta": -3.3814699106240475e-09,
          "radius": 5.815041518837273e-05,
          "phases": [
            0,
            6,
            12
          ]
        }
      },
      {
        "beta": 0.007,
        "center": [
          96.9595596131848,
          -528.5492226107006
        ],
        "slice_basis": [
          [
            0.5731363283106345,
            0.819460035127159
          ],
          [
            0.819460035127159,
            -0.5731363283106345
          ]
        ],
        "along": -0.1695112939765424,
        "transverse": 0.08,
        "side": "negative",
        "primary_point_index": 95,
        "cyclic_point_index": 97,
        "status": "complete",
        "radius_offsets": [
          {
            "offset": -0.003,
            "point_index": 98,
            "radius_difference": 6.4614030670564885e-06,
            "point": {
              "index": 98,
              "coordinate": [
                96.93096290480436,
                -528.7340320724519
              ],
              "beta": 0.007,
              "alpha": 0.07333596006067579,
              "log10_temperature": -0.1583678870192159,
              "tau": -1.228629002087688e-05,
              "delta": -3.5405338841126927e-09,
              "radius": 6.596180526567959e-05,
              "phases": [
                0
              ]
            }
          },
          {
            "offset": 0.003,
            "point_index": 99,
            "radius_difference": 6.33389971550511e-06,
            "point": {
              "index": 99,
              "coordinate": [
                96.92496376591178,
                -528.7339304233118
              ],
              "beta": 0.007,
              "alpha": 0.07333594506282855,
              "log10_temperature": -0.15836788625684733,
              "tau": 1.2062010681784512e-05,
              "delta": -3.5400612556045447e-09,
              "radius": 6.583430191412821e-05,
              "phases": [
                0
              ]
            }
          }
        ],
        "tau": -6.617622716356773e-12,
        "delta": -3.5402974680467e-09,
        "radius": 5.95004021986231e-05,
        "sampled_radius_comparison": "root below both sampled offsets",
        "primary_point": {
          "index": 95,
          "coordinate": [
            96.92796333535807,
            -528.7339812478818
          ],
          "beta": 0.007,
          "alpha": 0.07333595256175217,
          "log10_temperature": -0.1583678866380316,
          "tau": -6.612183660304437e-12,
          "delta": -3.540297468301367e-09,
          "radius": 5.9500402198043624e-05,
          "phases": [
            0
          ]
        },
        "cyclic_point": {
          "index": 97,
          "coordinate": [
            96.92796333535807,
            -528.7339812478818
          ],
          "beta": 0.007,
          "alpha": 0.07333595256175217,
          "log10_temperature": -0.1583678866380316,
          "tau": -6.617622716356773e-12,
          "delta": -3.5402974680467e-09,
          "radius": 5.95004021986231e-05,
          "phases": [
            0,
            6,
            12
          ]
        }
      },
      {
        "beta": 0.007,
        "center": [
          96.9595596131848,
          -528.5492226107006
        ],
        "slice_basis": [
          [
            0.5731363283106345,
            0.819460035127159
          ],
          [
            0.819460035127159,
            -0.5731363283106345
          ]
        ],
        "along": 0.16260465721546982,
        "transverse": 0.08,
        "side": "positive",
        "primary_point_index": 106,
        "cyclic_point_index": 108,
        "status": "complete",
        "radius_offsets": [
          {
            "offset": -0.003,
            "point_index": 109,
            "radius_difference": 6.114800918785885e-06,
            "point": {
              "index": 109,
              "coordinate": [
                97.1194413920382,
                -528.4646044072426
              ],
              "beta": 0.007,
              "alpha": 0.07333643125689387,
              "log10_temperature": -0.1583658663117268,
              "tau": -1.1631279491772483e-05,
              "delta": -3.433315234262862e-09,
              "radius": 6.469803864332242e-05,
              "phases": [
                0
              ]
            }
          },
          {
            "offset": 0.003,
            "point_index": 110,
            "radius_difference": 5.970285877099295e-06,
            "point": {
              "index": 110,
              "coordinate": [
                97.11718071235711,
                -528.459046590461
              ],
              "beta": 0.007,
              "alpha": 0.07333642560519467,
              "log10_temperature": -0.15836582462810095,
              "tau": 1.1408875765355766e-05,
              "delta": -3.43067427839993e-09,
              "radius": 6.455352360163583e-05,
              "phases": [
                0
              ]
            }
          }
        ],
        "tau": -1.9355773446972247e-11,
        "delta": -3.431994608365684e-09,
        "radius": 5.858323772453654e-05,
        "sampled_radius_comparison": "root below both sampled offsets",
        "primary_point": {
          "index": 106,
          "coordinate": [
            97.11831105219765,
            -528.4618254988518
          ],
          "beta": 0.007,
          "alpha": 0.07333642843104426,
          "log10_temperature": -0.1583658454699139,
          "tau": -1.936025858129565e-11,
          "delta": -3.4319946085580975e-09,
          "radius": 5.858323772842133e-05,
          "phases": [
            0
          ]
        },
        "cyclic_point": {
          "index": 108,
          "coordinate": [
            97.11831105219765,
            -528.4618254988518
          ],
          "beta": 0.007,
          "alpha": 0.07333642843104426,
          "log10_temperature": -0.1583658454699139,
          "tau": -1.9355773446972247e-11,
          "delta": -3.431994608365684e-09,
          "radius": 5.858323772453654e-05,
          "phases": [
            0,
            6,
            12
          ]
        }
      }
    ]
  },
  "provenance": {
    "study": "BSC4-direct-connection",
    "generator": "tools/plot_baby_shrimp_memory_connection_probe.py",
    "generator_commit": "fde159f4811ce10431485d764accc24eaf9a7810",
    "generator_sha256": "8054aefe62c2b8184340fc7001cb134a886c765fd86753a3d8af6126dcf6afe0",
    "outputs": {
      "fig-memory-direct-probes.png": "ebbf2bacec593707359bac796070b4877b26018b6b1665f395d3330c129a905d",
      "fig-memory-direct-probes-mobile.png": "c0c229418987f61f166d822c751c186a58553d329993c0a72d0de2726a5877b8",
      "fig-memory-direct-probes.pdf": "1d12551152adf3c3ab066802e05c81d104c5e978917e15e1e9cf07c58c1cb6d8"
    },
    "visual_review": {
      "status": "passed",
      "receipt": {
        "path": "audits/baby-shrimp-zoom/20261022-direct-connection-figures-04/visual-review.json",
        "bytes": 1640,
        "sha256": "40ef5e3cc0638d765642d719d9de79a54c025605920e6438631dd66d1a3a3821"
      }
    }
  },
  "uncertainty": "Finite floating-point samples; no interval error bounds. Dashed segments are visual guides only.",
  "scope_exclusions": [
    "Saved-data numerical replay, not a fresh model evaluation or an interval certificate.",
    "Ritz isolation is conditional on the computed subspace; the original dense baseline does not certify the entire spectrum at every new point.",
    "Measured trace zeros balance nonzero multipliers; no exact superstability or native coupling mechanism is certified.",
    "Two finite offsets along an approximate scaled-coordinate normal do not prove a local contraction minimum or ridge connectivity.",
    "A controller-only terminal snapshot never qualifies as a complete scientific run. Missing stages are untested, not evidence against the hypothesis."
  ],
  "accessibility": {
    "same_alt_text_in_post": true,
    "color_not_only_channel": "Panel headings, axes, marker positions and a separate center cross carry meaning."
  }
}