{
  "proof": "ORIGINAL_AVERAGED_OPERATOR_20261010.md MB14\u2013MB17",
  "meaning": "Exact original Gaussian fields sampled at x3=0; analytic initial energy derivative, not a numerically evolved flow.",
  "nu": 1.0,
  "rotation": [
    [
      0.6,
      -0.8
    ],
    [
      0.8,
      0.6
    ]
  ],
  "original_quadratic_form": [
    [
      1.0,
      0.0
    ],
    [
      0.0,
      2.0
    ]
  ],
  "rotated_quadratic_form": [
    [
      1.6400000000000001,
      -0.48000000000000004
    ],
    [
      -0.48000000000000004,
      1.36
    ]
  ],
  "energy_defect": 0.2916519317818217,
  "full_gradient_norm_squared": 30.625803982574393,
  "critical_amplitude": 105.00806147749049,
  "field_samples": [
    {
      "field": "Original field $u(x_1,x_2,0)$",
      "points": [
        [
          -1.4,
          -1.4
        ],
        [
          -1.0499999999999998,
          -1.4
        ],
        [
          -0.7,
          -1.4
        ],
        [
          -0.3500000000000001,
          -1.4
        ],
        [
          0.0,
          -1.4
        ],
        [
          0.3500000000000001,
          -1.4
        ],
        [
          0.6999999999999997,
          -1.4
        ],
        [
          1.0499999999999998,
          -1.4
        ],
        [
          1.4,
          -1.4
        ],
        [
          -1.4,
          -1.0499999999999998
        ],
        [
          -1.0499999999999998,
          -1.0499999999999998
        ],
        [
          -0.7,
          -1.0499999999999998
        ],
        [
          -0.3500000000000001,
          -1.0499999999999998
        ],
        [
          0.0,
          -1.0499999999999998
        ],
        [
          0.3500000000000001,
          -1.0499999999999998
        ],
        [
          0.6999999999999997,
          -1.0499999999999998
        ],
        [
          1.0499999999999998,
          -1.0499999999999998
        ],
        [
          1.4,
          -1.0499999999999998
        ],
        [
          -1.4,
          -0.7
        ],
        [
          -1.0499999999999998,
          -0.7
        ],
        [
          -0.7,
          -0.7
        ],
        [
          -0.3500000000000001,
          -0.7
        ],
        [
          0.0,
          -0.7
        ],
        [
          0.3500000000000001,
          -0.7
        ],
        [
          0.6999999999999997,
          -0.7
        ],
        [
          1.0499999999999998,
          -0.7
        ],
        [
          1.4,
          -0.7
        ],
        [
          -1.4,
          -0.3500000000000001
        ],
        [
          -1.0499999999999998,
          -0.3500000000000001
        ],
        [
          -0.7,
          -0.3500000000000001
        ],
        [
          -0.3500000000000001,
          -0.3500000000000001
        ],
        [
          0.0,
          -0.3500000000000001
        ],
        [
          0.3500000000000001,
          -0.3500000000000001
        ],
        [
          0.6999999999999997,
          -0.3500000000000001
        ],
        [
          1.0499999999999998,
          -0.3500000000000001
        ],
        [
          1.4,
          -0.3500000000000001
        ],
        [
          -1.4,
          0.0
        ],
        [
          -1.0499999999999998,
          0.0
        ],
        [
          -0.7,
          0.0
        ],
        [
          -0.3500000000000001,
          0.0
        ],
        [
          0.0,
          0.0
        ],
        [
          0.3500000000000001,
          0.0
        ],
        [
          0.6999999999999997,
          0.0
        ],
        [
          1.0499999999999998,
          0.0
        ],
        [
          1.4,
          0.0
        ],
        [
          -1.4,
          0.3500000000000001
        ],
        [
          -1.0499999999999998,
          0.3500000000000001
        ],
        [
          -0.7,
          0.3500000000000001
        ],
        [
          -0.3500000000000001,
          0.3500000000000001
        ],
        [
          0.0,
          0.3500000000000001
        ],
        [
          0.3500000000000001,
          0.3500000000000001
        ],
        [
          0.6999999999999997,
          0.3500000000000001
        ],
        [
          1.0499999999999998,
          0.3500000000000001
        ],
        [
          1.4,
          0.3500000000000001
        ],
        [
          -1.4,
          0.6999999999999997
        ],
        [
          -1.0499999999999998,
          0.6999999999999997
        ],
        [
          -0.7,
          0.6999999999999997
        ],
        [
          -0.3500000000000001,
          0.6999999999999997
        ],
        [
          0.0,
          0.6999999999999997
        ],
        [
          0.3500000000000001,
          0.6999999999999997
        ],
        [
          0.6999999999999997,
          0.6999999999999997
        ],
        [
          1.0499999999999998,
          0.6999999999999997
        ],
        [
          1.4,
          0.6999999999999997
        ],
        [
          -1.4,
          1.0499999999999998
        ],
        [
          -1.0499999999999998,
          1.0499999999999998
        ],
        [
          -0.7,
          1.0499999999999998
        ],
        [
          -0.3500000000000001,
          1.0499999999999998
        ],
        [
          0.0,
          1.0499999999999998
        ],
        [
          0.3500000000000001,
          1.0499999999999998
        ],
        [
          0.6999999999999997,
          1.0499999999999998
        ],
        [
          1.0499999999999998,
          1.0499999999999998
        ],
        [
          1.4,
          1.0499999999999998
        ],
        [
          -1.4,
          1.4
        ],
        [
          -1.0499999999999998,
          1.4
        ],
        [
          -0.7,
          1.4
        ],
        [
          -0.3500000000000001,
          1.4
        ],
        [
          0.0,
          1.4
        ],
        [
          0.3500000000000001,
          1.4
        ],
        [
          0.6999999999999997,
          1.4
        ],
        [
          1.0499999999999998,
          1.4
        ],
        [
          1.4,
          1.4
        ]
      ],
      "vectors": [
        [
          0.01565079754020634,
          -0.00782539877010317
        ],
        [
          0.03689300168119411,
          -0.013834875630447791
        ],
        [
          0.06806899864752369,
          -0.017017249661880923
        ],
        [
          0.0982997886129701,
          -0.012287473576621267
        ],
        [
          0.11111013056847366,
          0.0
        ],
        [
          0.0982997886129701,
          0.012287473576621267
        ],
        [
          0.06806899864752369,
          0.01701724966188092
        ],
        [
          0.03689300168119411,
          0.013834875630447791
        ],
        [
          0.01565079754020634,
          0.00782539877010317
        ],
        [
          0.06522480258044315,
          -0.04348320172029544
        ],
        [
          0.15375182926455003,
          -0.07687591463227501
        ],
        [
          0.28367800345174315,
          -0.09455933448391439
        ],
        [
          0.40966502119199616,
          -0.06827750353199939
        ],
        [
          0.46305220627883825,
          0.0
        ],
        [
          0.40966502119199616,
          0.06827750353199939
        ],
        [
          0.28367800345174315,
          0.09455933448391436
        ],
        [
          0.15375182926455003,
          0.07687591463227501
        ],
        [
          0.06522480258044315,
          0.04348320172029544
        ],
        [
          0.14802404046738107,
          -0.14802404046738107
        ],
        [
          0.34893117489961717,
          -0.26169838117471284
        ],
        [
          0.6437913585228269,
          -0.32189567926141344
        ],
        [
          0.9297118469650497,
          -0.2324279617412625
        ],
        [
          1.0508710767839187,
          0.0
        ],
        [
          0.9297118469650497,
          0.2324279617412625
        ],
        [
          0.643791358522827,
          0.32189567926141344
        ],
        [
          0.34893117489961717,
          0.26169838117471284
        ],
        [
          0.14802404046738107,
          0.14802404046738107
        ],
        [
          0.15435073542627933,
          -0.3087014708525586
        ],
        [
          0.36384484093838704,
          -0.5457672614075804
        ],
        [
          0.6713076425648519,
          -0.6713076425648516
        ],
        [
          0.9694486575321009,
          -0.4847243287660504
        ],
        [
          1.0957863535386154,
          0.0
        ],
        [
          0.9694486575321009,
          0.4847243287660504
        ],
        [
          0.6713076425648521,
          0.6713076425648516
        ],
        [
          0.36384484093838704,
          0.5457672614075804
        ],
        [
          0.15435073542627933,
          0.3087014708525586
        ],
        [
          0.0,
          -0.39440357857892605
        ],
        [
          0.0,
          -0.6972838852237876
        ],
        [
          0.0,
          -0.8576769518581825
        ],
        [
          0.0,
          -0.6192941334604386
        ],
        [
          0.0,
          0.0
        ],
        [
          0.0,
          0.6192941334604386
        ],
        [
          0.0,
          0.8576769518581825
        ],
        [
          0.0,
          0.6972838852237876
        ],
        [
          0.0,
          0.39440357857892605
        ],
        [
          -0.15435073542627933,
          -0.3087014708525586
        ],
        [
          -0.36384484093838704,
          -0.5457672614075804
        ],
        [
          -0.6713076425648519,
          -0.6713076425648516
        ],
        [
          -0.9694486575321009,
          -0.4847243287660504
        ],
        [
          -1.0957863535386154,
          0.0
        ],
        [
          -0.9694486575321009,
          0.4847243287660504
        ],
        [
          -0.6713076425648521,
          0.6713076425648516
        ],
        [
          -0.36384484093838704,
          0.5457672614075804
        ],
        [
          -0.15435073542627933,
          0.3087014708525586
        ],
        [
          -0.1480240404673811,
          -0.14802404046738116
        ],
        [
          -0.3489311748996174,
          -0.26169838117471306
        ],
        [
          -0.6437913585228271,
          -0.32189567926141366
        ],
        [
          -0.92971184696505,
          -0.23242796174126265
        ],
        [
          -1.0508710767839191,
          0.0
        ],
        [
          -0.92971184696505,
          0.23242796174126265
        ],
        [
          -0.6437913585228272,
          0.3218956792614136
        ],
        [
          -0.3489311748996174,
          0.26169838117471306
        ],
        [
          -0.1480240404673811,
          0.14802404046738116
        ],
        [
          -0.06522480258044315,
          -0.04348320172029544
        ],
        [
          -0.15375182926455003,
          -0.07687591463227501
        ],
        [
          -0.28367800345174315,
          -0.09455933448391439
        ],
        [
          -0.40966502119199616,
          -0.06827750353199939
        ],
        [
          -0.46305220627883825,
          0.0
        ],
        [
          -0.40966502119199616,
          0.06827750353199939
        ],
        [
          -0.28367800345174315,
          0.09455933448391436
        ],
        [
          -0.15375182926455003,
          0.07687591463227501
        ],
        [
          -0.06522480258044315,
          0.04348320172029544
        ],
        [
          -0.01565079754020634,
          -0.00782539877010317
        ],
        [
          -0.03689300168119411,
          -0.013834875630447791
        ],
        [
          -0.06806899864752369,
          -0.017017249661880923
        ],
        [
          -0.0982997886129701,
          -0.012287473576621267
        ],
        [
          -0.11111013056847366,
          0.0
        ],
        [
          -0.0982997886129701,
          0.012287473576621267
        ],
        [
          -0.06806899864752369,
          0.01701724966188092
        ],
        [
          -0.03689300168119411,
          0.013834875630447791
        ],
        [
          -0.01565079754020634,
          0.00782539877010317
        ]
      ]
    },
    {
      "field": "Rotated field $\\operatorname{Rot}_R u(x_1,x_2,0)$",
      "points": [
        [
          -1.4,
          -1.4
        ],
        [
          -1.0499999999999998,
          -1.4
        ],
        [
          -0.7,
          -1.4
        ],
        [
          -0.3500000000000001,
          -1.4
        ],
        [
          0.0,
          -1.4
        ],
        [
          0.3500000000000001,
          -1.4
        ],
        [
          0.6999999999999997,
          -1.4
        ],
        [
          1.0499999999999998,
          -1.4
        ],
        [
          1.4,
          -1.4
        ],
        [
          -1.4,
          -1.0499999999999998
        ],
        [
          -1.0499999999999998,
          -1.0499999999999998
        ],
        [
          -0.7,
          -1.0499999999999998
        ],
        [
          -0.3500000000000001,
          -1.0499999999999998
        ],
        [
          0.0,
          -1.0499999999999998
        ],
        [
          0.3500000000000001,
          -1.0499999999999998
        ],
        [
          0.6999999999999997,
          -1.0499999999999998
        ],
        [
          1.0499999999999998,
          -1.0499999999999998
        ],
        [
          1.4,
          -1.0499999999999998
        ],
        [
          -1.4,
          -0.7
        ],
        [
          -1.0499999999999998,
          -0.7
        ],
        [
          -0.7,
          -0.7
        ],
        [
          -0.3500000000000001,
          -0.7
        ],
        [
          0.0,
          -0.7
        ],
        [
          0.3500000000000001,
          -0.7
        ],
        [
          0.6999999999999997,
          -0.7
        ],
        [
          1.0499999999999998,
          -0.7
        ],
        [
          1.4,
          -0.7
        ],
        [
          -1.4,
          -0.3500000000000001
        ],
        [
          -1.0499999999999998,
          -0.3500000000000001
        ],
        [
          -0.7,
          -0.3500000000000001
        ],
        [
          -0.3500000000000001,
          -0.3500000000000001
        ],
        [
          0.0,
          -0.3500000000000001
        ],
        [
          0.3500000000000001,
          -0.3500000000000001
        ],
        [
          0.6999999999999997,
          -0.3500000000000001
        ],
        [
          1.0499999999999998,
          -0.3500000000000001
        ],
        [
          1.4,
          -0.3500000000000001
        ],
        [
          -1.4,
          0.0
        ],
        [
          -1.0499999999999998,
          0.0
        ],
        [
          -0.7,
          0.0
        ],
        [
          -0.3500000000000001,
          0.0
        ],
        [
          0.0,
          0.0
        ],
        [
          0.3500000000000001,
          0.0
        ],
        [
          0.6999999999999997,
          0.0
        ],
        [
          1.0499999999999998,
          0.0
        ],
        [
          1.4,
          0.0
        ],
        [
          -1.4,
          0.3500000000000001
        ],
        [
          -1.0499999999999998,
          0.3500000000000001
        ],
        [
          -0.7,
          0.3500000000000001
        ],
        [
          -0.3500000000000001,
          0.3500000000000001
        ],
        [
          0.0,
          0.3500000000000001
        ],
        [
          0.3500000000000001,
          0.3500000000000001
        ],
        [
          0.6999999999999997,
          0.3500000000000001
        ],
        [
          1.0499999999999998,
          0.3500000000000001
        ],
        [
          1.4,
          0.3500000000000001
        ],
        [
          -1.4,
          0.6999999999999997
        ],
        [
          -1.0499999999999998,
          0.6999999999999997
        ],
        [
          -0.7,
          0.6999999999999997
        ],
        [
          -0.3500000000000001,
          0.6999999999999997
        ],
        [
          0.0,
          0.6999999999999997
        ],
        [
          0.3500000000000001,
          0.6999999999999997
        ],
        [
          0.6999999999999997,
          0.6999999999999997
        ],
        [
          1.0499999999999998,
          0.6999999999999997
        ],
        [
          1.4,
          0.6999999999999997
        ],
        [
          -1.4,
          1.0499999999999998
        ],
        [
          -1.0499999999999998,
          1.0499999999999998
        ],
        [
          -0.7,
          1.0499999999999998
        ],
        [
          -0.3500000000000001,
          1.0499999999999998
        ],
        [
          0.0,
          1.0499999999999998
        ],
        [
          0.3500000000000001,
          1.0499999999999998
        ],
        [
          0.6999999999999997,
          1.0499999999999998
        ],
        [
          1.0499999999999998,
          1.0499999999999998
        ],
        [
          1.4,
          1.0499999999999998
        ],
        [
          -1.4,
          1.4
        ],
        [
          -1.0499999999999998,
          1.4
        ],
        [
          -0.7,
          1.4
        ],
        [
          -0.3500000000000001,
          1.4
        ],
        [
          0.0,
          1.4
        ],
        [
          0.3500000000000001,
          1.4
        ],
        [
          0.6999999999999997,
          1.4
        ],
        [
          1.0499999999999998,
          1.4
        ],
        [
          1.4,
          1.4
        ]
      ],
      "vectors": [
        [
          0.045201999593476684,
          -0.0595844540095829
        ],
        [
          0.13095774267508525,
          -0.09821830700631393
        ],
        [
          0.25021070464504863,
          -0.07595682105296117
        ],
        [
          0.3162035259673987,
          0.017850199046546677
        ],
        [
          0.2648753653483768,
          0.093485423064133
        ],
        [
          0.14730669647955058,
          0.0885830809910811
        ],
        [
          0.054455198918019004,
          0.04424484912089044
        ],
        [
          0.013393894743675297,
          0.013316023262607416
        ],
        [
          0.0021935917476008,
          0.002527399187453095
        ],
        [
          0.055622542333372146,
          -0.13184602627169695
        ],
        [
          0.19495314588928314,
          -0.25698369230860046
        ],
        [
          0.44208993616455866,
          -0.26071970594320126
        ],
        [
          0.6549207136890964,
          -0.036384484093838786
        ],
        [
          0.6376422079560436,
          0.22505019104330956
        ],
        [
          0.40964992707488196,
          0.27669337179619224
        ],
        [
          0.17414467462922478,
          0.1630878698908613
        ],
        [
          0.04908523100377791,
          0.056554722678265855
        ],
        [
          0.009187462696368127,
          0.012249950261824167
        ],
        [
          0.029604808093476223,
          -0.2072336566543336
        ],
        [
          0.15278633054932503,
          -0.4726827101369742
        ],
        [
          0.45340879877485885,
          -0.5976752347486776
        ],
        [
          0.8333520658123492,
          -0.2529818771216062
        ],
        [
          0.9778069083835799,
          0.3451083206059694
        ],
        [
          0.7437694775720399,
          0.6043127005272825
        ],
        [
          0.37003333168807384,
          0.4263427517275633
        ],
        [
          0.12108531857555205,
          0.17114944067890528
        ],
        [
          0.026159036667695257,
          0.042395680116609546
        ],
        [
          -0.021341677260096045,
          -0.2317096388239
        ],
        [
          -0.01106129071803745,
          -0.6139016348510814
        ],
        [
          0.1342615285129705,
          -0.9398306995907925
        ],
        [
          0.47978925889900903,
          -0.6324494776396029
        ],
        [
          0.8059043272601567,
          0.2844368213859377
        ],
        [
          0.7929386915984139,
          0.9136032751025203
        ],
        [
          0.4865051662174221,
          0.7884738900765116
        ],
        [
          0.1911770098895982,
          0.36869851907279644
        ],
        [
          0.048789921136479175,
          0.10471983073195529
        ],
        [
          -0.05400115963646761,
          -0.1845039620912643
        ],
        [
          -0.16527709824748327,
          -0.5646967523455677
        ],
        [
          -0.3008640015408703,
          -1.02795200526464
        ],
        [
          -0.27484606023393576,
          -0.939057372465947
        ],
        [
          0.0,
          0.0
        ],
        [
          0.27484606023393576,
          0.939057372465947
        ],
        [
          0.3008640015408703,
          1.0279520052646403
        ],
        [
          0.16527709824748327,
          0.5646967523455677
        ],
        [
          0.05400115963646761,
          0.1845039620912643
        ],
        [
          -0.048789921136479175,
          -0.10471983073195529
        ],
        [
          -0.1911770098895982,
          -0.36869851907279644
        ],
        [
          -0.486505166217422,
          -0.7884738900765114
        ],
        [
          -0.7929386915984139,
          -0.9136032751025203
        ],
        [
          -0.8059043272601567,
          -0.2844368213859377
        ],
        [
          -0.47978925889900903,
          0.6324494776396029
        ],
        [
          -0.13426152851297066,
          0.9398306995907927
        ],
        [
          0.01106129071803745,
          0.6139016348510814
        ],
        [
          0.021341677260096045,
          0.2317096388239
        ],
        [
          -0.026159036667695295,
          -0.04239568011660962
        ],
        [
          -0.12108531857555209,
          -0.1711494406789054
        ],
        [
          -0.37003333168807384,
          -0.4263427517275633
        ],
        [
          -0.7437694775720401,
          -0.6043127005272828
        ],
        [
          -0.9778069083835799,
          -0.34510832060596935
        ],
        [
          -0.8333520658123491,
          0.25298187712160636
        ],
        [
          -0.4534087987748591,
          0.5976752347486779
        ],
        [
          -0.15278633054932497,
          0.4726827101369744
        ],
        [
          -0.029604808093476185,
          0.20723365665433352
        ],
        [
          -0.009187462696368127,
          -0.012249950261824167
        ],
        [
          -0.04908523100377791,
          -0.056554722678265855
        ],
        [
          -0.17414467462922467,
          -0.1630878698908612
        ],
        [
          -0.40964992707488196,
          -0.27669337179619224
        ],
        [
          -0.6376422079560436,
          -0.22505019104330956
        ],
        [
          -0.6549207136890964,
          0.036384484093838786
        ],
        [
          -0.4420899361645588,
          0.2607197059432012
        ],
        [
          -0.19495314588928314,
          0.25698369230860046
        ],
        [
          -0.055622542333372146,
          0.13184602627169695
        ],
        [
          -0.0021935917476008,
          -0.002527399187453095
        ],
        [
          -0.013393894743675297,
          -0.013316023262607416
        ],
        [
          -0.054455198918018956,
          -0.044244849120890405
        ],
        [
          -0.14730669647955058,
          -0.0885830809910811
        ],
        [
          -0.2648753653483768,
          -0.093485423064133
        ],
        [
          -0.3162035259673987,
          -0.017850199046546677
        ],
        [
          -0.2502107046450488,
          0.07595682105296118
        ],
        [
          -0.13095774267508525,
          0.09821830700631393
        ],
        [
          -0.045201999593476684,
          0.0595844540095829
        ]
      ]
    }
  ],
  "energy_samples": [
    {
      "amplitude": 0.0,
      "energy_derivative": 0.0
    },
    {
      "amplitude": 0.5250403073874523,
      "energy_derivative": -8.400320773704344
    },
    {
      "amplitude": 1.0500806147749047,
      "energy_derivative": -33.4324324259992
    },
    {
      "amplitude": 1.575120922162357,
      "energy_derivative": -74.8430589536573
    },
    {
      "amplitude": 2.1001612295498093,
      "energy_derivative": -132.37892435345137
    },
    {
      "amplitude": 2.6252015369372614,
      "energy_derivative": -205.78675262215415
    },
    {
      "amplitude": 3.150241844324714,
      "energy_derivative": -294.8132677565384
    },
    {
      "amplitude": 3.6752821517121665,
      "energy_derivative": -399.2051937533769
    },
    {
      "amplitude": 4.200322459099619,
      "energy_derivative": -518.7092546094422
    },
    {
      "amplitude": 4.725362766487071,
      "energy_derivative": -653.0721743215071
    },
    {
      "amplitude": 5.250403073874523,
      "energy_derivative": -802.0406768863444
    },
    {
      "amplitude": 5.775443381261976,
      "energy_derivative": -965.361486300727
    },
    {
      "amplitude": 6.300483688649428,
      "energy_derivative": -1142.7813265614272
    },
    {
      "amplitude": 6.82552399603688,
      "energy_derivative": -1334.046921665218
    },
    {
      "amplitude": 7.350564303424333,
      "energy_derivative": -1538.9049956088725
    },
    {
      "amplitude": 7.875604610811785,
      "energy_derivative": -1757.1022723891626
    },
    {
      "amplitude": 8.400644918199237,
      "energy_derivative": -1988.3854760028617
    },
    {
      "amplitude": 8.92568522558669,
      "energy_derivative": -2232.5013304467425
    },
    {
      "amplitude": 9.450725532974142,
      "energy_derivative": -2489.1965597175767
    },
    {
      "amplitude": 9.975765840361595,
      "energy_derivative": -2758.2178878121385
    },
    {
      "amplitude": 10.500806147749046,
      "energy_derivative": -3039.3120387272
    },
    {
      "amplitude": 11.025846455136499,
      "energy_derivative": -3332.225736459534
    },
    {
      "amplitude": 11.550886762523952,
      "energy_derivative": -3636.705705005914
    },
    {
      "amplitude": 12.075927069911403,
      "energy_derivative": -3952.4986683631096
    },
    {
      "amplitude": 12.600967377298856,
      "energy_derivative": -4279.351350527898
    },
    {
      "amplitude": 13.126007684686309,
      "energy_derivative": -4617.010475497049
    },
    {
      "amplitude": 13.65104799207376,
      "energy_derivative": -4965.222767267335
    },
    {
      "amplitude": 14.176088299461213,
      "energy_derivative": -5323.7349498355325
    },
    {
      "amplitude": 14.701128606848666,
      "energy_derivative": -5692.2937471984105
    },
    {
      "amplitude": 15.226168914236117,
      "energy_derivative": -6070.645883352741
    },
    {
      "amplitude": 15.75120922162357,
      "energy_derivative": -6458.538082295301
    },
    {
      "amplitude": 16.27624952901102,
      "energy_derivative": -6855.717068022859
    },
    {
      "amplitude": 16.801289836398475,
      "energy_derivative": -7261.929564532191
    },
    {
      "amplitude": 17.326330143785928,
      "energy_derivative": -7676.922295820066
    },
    {
      "amplitude": 17.85137045117338,
      "energy_derivative": -8100.4419858832625
    },
    {
      "amplitude": 18.37641075856083,
      "energy_derivative": -8532.235358718544
    },
    {
      "amplitude": 18.901451065948283,
      "energy_derivative": -8972.049138322694
    },
    {
      "amplitude": 19.426491373335736,
      "energy_derivative": -9419.630048692481
    },
    {
      "amplitude": 19.95153168072319,
      "energy_derivative": -9874.724813824674
    },
    {
      "amplitude": 20.476571988110642,
      "energy_derivative": -10337.08015771605
    },
    {
      "amplitude": 21.00161229549809,
      "energy_derivative": -10806.442804363378
    },
    {
      "amplitude": 21.526652602885544,
      "energy_derivative": -11282.559477763436
    },
    {
      "amplitude": 22.051692910272997,
      "energy_derivative": -11765.176901912992
    },
    {
      "amplitude": 22.57673321766045,
      "energy_derivative": -12254.04180080882
    },
    {
      "amplitude": 23.101773525047903,
      "energy_derivative": -12748.900898447697
    },
    {
      "amplitude": 23.626813832435356,
      "energy_derivative": -13249.500918826388
    },
    {
      "amplitude": 24.151854139822806,
      "energy_derivative": -13755.58858594167
    },
    {
      "amplitude": 24.67689444721026,
      "energy_derivative": -14266.910623790318
    },
    {
      "amplitude": 25.201934754597712,
      "energy_derivative": -14783.213756369101
    },
    {
      "amplitude": 25.726975061985165,
      "energy_derivative": -15304.244707674792
    },
    {
      "amplitude": 26.252015369372618,
      "energy_derivative": -15829.75020170417
    },
    {
      "amplitude": 26.777055676760067,
      "energy_derivative": -16359.476962453993
    },
    {
      "amplitude": 27.30209598414752,
      "energy_derivative": -16893.17171392105
    },
    {
      "amplitude": 27.827136291534973,
      "energy_derivative": -17430.581180102105
    },
    {
      "amplitude": 28.352176598922426,
      "energy_derivative": -17971.452084993936
    },
    {
      "amplitude": 28.87721690630988,
      "energy_derivative": -18515.53115259331
    },
    {
      "amplitude": 29.402257213697332,
      "energy_derivative": -19062.565106897004
    },
    {
      "amplitude": 29.927297521084782,
      "energy_derivative": -19612.30067190178
    },
    {
      "amplitude": 30.452337828472235,
      "energy_derivative": -20164.48457160443
    },
    {
      "amplitude": 30.977378135859688,
      "energy_derivative": -20718.863530001712
    },
    {
      "amplitude": 31.50241844324714,
      "energy_derivative": -21275.184271090402
    },
    {
      "amplitude": 32.027458750634594,
      "energy_derivative": -21833.19351886728
    },
    {
      "amplitude": 32.55249905802204,
      "energy_derivative": -22392.637997329104
    },
    {
      "amplitude": 33.0775393654095,
      "energy_derivative": -22953.264430472664
    },
    {
      "amplitude": 33.60257967279695,
      "energy_derivative": -23514.819542294714
    },
    {
      "amplitude": 34.1276199801844,
      "energy_derivative": -24077.05005679204
    },
    {
      "amplitude": 34.652660287571855,
      "energy_derivative": -24639.70269796141
    },
    {
      "amplitude": 35.177700594959305,
      "energy_derivative": -25202.524189799602
    },
    {
      "amplitude": 35.70274090234676,
      "energy_derivative": -25765.261256303387
    },
    {
      "amplitude": 36.22778120973421,
      "energy_derivative": -26327.660621469535
    },
    {
      "amplitude": 36.75282151712166,
      "energy_derivative": -26889.469009294808
    },
    {
      "amplitude": 37.27786182450912,
      "energy_derivative": -27450.433143776005
    },
    {
      "amplitude": 37.802902131896566,
      "energy_derivative": -28010.299748909878
    },
    {
      "amplitude": 38.32794243928402,
      "energy_derivative": -28568.81554869321
    },
    {
      "amplitude": 38.85298274667147,
      "energy_derivative": -29125.727267122762
    },
    {
      "amplitude": 39.37802305405892,
      "energy_derivative": -29680.781628195313
    },
    {
      "amplitude": 39.90306336144638,
      "energy_derivative": -30233.725355907645
    },
    {
      "amplitude": 40.42810366883383,
      "energy_derivative": -30784.305174256515
    },
    {
      "amplitude": 40.953143976221284,
      "energy_derivative": -31332.267807238713
    },
    {
      "amplitude": 41.47818428360873,
      "energy_derivative": -31877.35997885099
    },
    {
      "amplitude": 42.00322459099618,
      "energy_derivative": -32419.328413090137
    },
    {
      "amplitude": 42.52826489838364,
      "energy_derivative": -32957.919833952925
    },
    {
      "amplitude": 43.05330520577109,
      "energy_derivative": -33492.88096543611
    },
    {
      "amplitude": 43.578345513158546,
      "energy_derivative": -34023.95853153649
    },
    {
      "amplitude": 44.103385820545995,
      "energy_derivative": -34550.899256250814
    },
    {
      "amplitude": 44.62842612793345,
      "energy_derivative": -35073.44986357588
    },
    {
      "amplitude": 45.1534664353209,
      "energy_derivative": -35591.35707750842
    },
    {
      "amplitude": 45.67850674270835,
      "energy_derivative": -36104.367622045254
    },
    {
      "amplitude": 46.20354705009581,
      "energy_derivative": -36612.22822118313
    },
    {
      "amplitude": 46.728587357483256,
      "energy_derivative": -37114.68559891883
    },
    {
      "amplitude": 47.25362766487071,
      "energy_derivative": -37611.4864792491
    },
    {
      "amplitude": 47.77866797225816,
      "energy_derivative": -38102.37758617075
    },
    {
      "amplitude": 48.30370827964561,
      "energy_derivative": -38587.10564368053
    },
    {
      "amplitude": 48.82874858703307,
      "energy_derivative": -39065.417375775236
    },
    {
      "amplitude": 49.35378889442052,
      "energy_derivative": -39537.0595064516
    },
    {
      "amplitude": 49.878829201807974,
      "energy_derivative": -40001.778759706445
    },
    {
      "amplitude": 50.403869509195424,
      "energy_derivative": -40459.32185953649
    },
    {
      "amplitude": 50.92890981658287,
      "energy_derivative": -40909.43552993855
    },
    {
      "amplitude": 51.45395012397033,
      "energy_derivative": -41351.86649490937
    },
    {
      "amplitude": 51.97899043135778,
      "energy_derivative": -41786.36147844577
    },
    {
      "amplitude": 52.504030738745236,
      "energy_derivative": -42212.66720454445
    },
    {
      "amplitude": 53.029071046132685,
      "energy_derivative": -42630.53039720224
    },
    {
      "amplitude": 53.554111353520135,
      "energy_derivative": -43039.69778041588
    },
    {
      "amplitude": 54.07915166090759,
      "energy_derivative": -43439.91607818217
    },
    {
      "amplitude": 54.60419196829504,
      "energy_derivative": -43830.93201449786
    },
    {
      "amplitude": 55.1292322756825,
      "energy_derivative": -44212.49231335974
    },
    {
      "amplitude": 55.65427258306995,
      "energy_derivative": -44584.34369876458
    },
    {
      "amplitude": 56.179312890457396,
      "energy_derivative": -44946.23289470914
    },
    {
      "amplitude": 56.70435319784485,
      "energy_derivative": -45297.906625190204
    },
    {
      "amplitude": 57.2293935052323,
      "energy_derivative": -45639.11161420452
    },
    {
      "amplitude": 57.75443381261976,
      "energy_derivative": -45969.59458574891
    },
    {
      "amplitude": 58.27947412000721,
      "energy_derivative": -46289.1022638201
    },
    {
      "amplitude": 58.804514427394665,
      "energy_derivative": -46597.3813724149
    },
    {
      "amplitude": 59.329554734782114,
      "energy_derivative": -46894.17863553005
    },
    {
      "amplitude": 59.854595042169564,
      "energy_derivative": -47179.24077716233
    },
    {
      "amplitude": 60.37963534955702,
      "energy_derivative": -47452.31452130854
    },
    {
      "amplitude": 60.90467565694447,
      "energy_derivative": -47713.146591965415
    },
    {
      "amplitude": 61.429715964331926,
      "energy_derivative": -47961.48371312975
    },
    {
      "amplitude": 61.954756271719376,
      "energy_derivative": -48197.07260879832
    },
    {
      "amplitude": 62.479796579106825,
      "energy_derivative": -48419.66000296788
    },
    {
      "amplitude": 63.00483688649428,
      "energy_derivative": -48628.99261963522
    },
    {
      "amplitude": 63.52987719388173,
      "energy_derivative": -48824.817182797095
    },
    {
      "amplitude": 64.05491750126919,
      "energy_derivative": -49006.880416450294
    },
    {
      "amplitude": 64.57995780865663,
      "energy_derivative": -49174.92904459158
    },
    {
      "amplitude": 65.10499811604409,
      "energy_derivative": -49328.70979121774
    },
    {
      "amplitude": 65.63003842343154,
      "energy_derivative": -49467.96938032555
    },
    {
      "amplitude": 66.155078730819,
      "energy_derivative": -49592.45453591175
    },
    {
      "amplitude": 66.68011903820644,
      "energy_derivative": -49701.91198197313
    },
    {
      "amplitude": 67.2051593455939,
      "energy_derivative": -49796.08844250647
    },
    {
      "amplitude": 67.73019965298136,
      "energy_derivative": -49874.73064150852
    },
    {
      "amplitude": 68.2552399603688,
      "energy_derivative": -49937.58530297609
    },
    {
      "amplitude": 68.78028026775625,
      "energy_derivative": -49984.399150905956
    },
    {
      "amplitude": 69.30532057514371,
      "energy_derivative": -50014.91890929481
    },
    {
      "amplitude": 69.83036088253117,
      "energy_derivative": -50028.89130213953
    },
    {
      "amplitude": 70.35540118991861,
      "energy_derivative": -50026.063053436825
    },
    {
      "amplitude": 70.88044149730607,
      "energy_derivative": -50006.18088718348
    },
    {
      "amplitude": 71.40548180469352,
      "energy_derivative": -49968.99152737626
    },
    {
      "amplitude": 71.93052211208096,
      "energy_derivative": -49914.241698011974
    },
    {
      "amplitude": 72.45556241946842,
      "energy_derivative": -49841.678123087375
    },
    {
      "amplitude": 72.98060272685588,
      "energy_derivative": -49751.04752659921
    },
    {
      "amplitude": 73.50564303424332,
      "energy_derivative": -49642.096632544286
    },
    {
      "amplitude": 74.03068334163078,
      "energy_derivative": -49514.57216491937
    },
    {
      "amplitude": 74.55572364901823,
      "energy_derivative": -49368.2208477212
    },
    {
      "amplitude": 75.08076395640569,
      "energy_derivative": -49202.78940494658
    },
    {
      "amplitude": 75.60580426379313,
      "energy_derivative": -49018.02456059231
    },
    {
      "amplitude": 76.13084457118059,
      "energy_derivative": -48813.67303865508
    },
    {
      "amplitude": 76.65588487856805,
      "energy_derivative": -48589.48156313176
    },
    {
      "amplitude": 77.18092518595549,
      "energy_derivative": -48345.19685801907
    },
    {
      "amplitude": 77.70596549334294,
      "energy_derivative": -48080.56564731378
    },
    {
      "amplitude": 78.2310058007304,
      "energy_derivative": -47795.33465501267
    },
    {
      "amplitude": 78.75604610811784,
      "energy_derivative": -47489.250605112524
    },
    {
      "amplitude": 79.2810864155053,
      "energy_derivative": -47162.060221610096
    },
    {
      "amplitude": 79.80612672289276,
      "energy_derivative": -46813.510228502186
    },
    {
      "amplitude": 80.33116703028021,
      "energy_derivative": -46443.3473497855
    },
    {
      "amplitude": 80.85620733766766,
      "energy_derivative": -46051.318309456925
    },
    {
      "amplitude": 81.38124764505511,
      "energy_derivative": -45637.169831513165
    },
    {
      "amplitude": 81.90628795244257,
      "energy_derivative": -45200.64863995096
    },
    {
      "amplitude": 82.43132825983001,
      "energy_derivative": -44741.50145876713
    },
    {
      "amplitude": 82.95636856721747,
      "energy_derivative": -44259.47501195842
    },
    {
      "amplitude": 83.48140887460492,
      "energy_derivative": -43754.31602352165
    },
    {
      "amplitude": 84.00644918199237,
      "energy_derivative": -43225.771217453555
    },
    {
      "amplitude": 84.53148948937982,
      "energy_derivative": -42673.58731775088
    },
    {
      "amplitude": 85.05652979676728,
      "energy_derivative": -42097.511048410495
    },
    {
      "amplitude": 85.58157010415474,
      "energy_derivative": -41497.28913342906
    },
    {
      "amplitude": 86.10661041154218,
      "energy_derivative": -40872.66829680343
    },
    {
      "amplitude": 86.63165071892963,
      "energy_derivative": -40223.395262530306
    },
    {
      "amplitude": 87.15669102631709,
      "energy_derivative": -39549.21675460655
    },
    {
      "amplitude": 87.68173133370453,
      "energy_derivative": -38849.87949702883
    },
    {
      "amplitude": 88.20677164109199,
      "energy_derivative": -38125.13021379404
    },
    {
      "amplitude": 88.73181194847945,
      "energy_derivative": -37374.71562889885
    },
    {
      "amplitude": 89.2568522558669,
      "energy_derivative": -36598.38246634006
    },
    {
      "amplitude": 89.78189256325435,
      "energy_derivative": -35795.877450114494
    },
    {
      "amplitude": 90.3069328706418,
      "energy_derivative": -34966.947304218804
    },
    {
      "amplitude": 90.83197317802926,
      "energy_derivative": -34111.33875264993
    },
    {
      "amplitude": 91.3570134854167,
      "energy_derivative": -33228.79851940452
    },
    {
      "amplitude": 91.88205379280416,
      "energy_derivative": -32319.073328479397
    },
    {
      "amplitude": 92.40709410019161,
      "energy_derivative": -31381.909903871274
    },
    {
      "amplitude": 92.93213440757906,
      "energy_derivative": -30417.05496957703
    },
    {
      "amplitude": 93.45717471496651,
      "energy_derivative": -29424.255249593378
    },
    {
      "amplitude": 93.98221502235397,
      "energy_derivative": -28403.25746791705
    },
    {
      "amplitude": 94.50725532974143,
      "energy_derivative": -27353.808348544786
    },
    {
      "amplitude": 95.03229563712887,
      "energy_derivative": -26275.654615473555
    },
    {
      "amplitude": 95.55733594451632,
      "energy_derivative": -25168.54299269995
    },
    {
      "amplitude": 96.08237625190378,
      "energy_derivative": -24032.220204220823
    },
    {
      "amplitude": 96.60741655929122,
      "energy_derivative": -22866.43297403294
    },
    {
      "amplitude": 97.13245686667868,
      "energy_derivative": -21670.928026133042
    },
    {
      "amplitude": 97.65749717406614,
      "energy_derivative": -20445.45208451792
    },
    {
      "amplitude": 98.18253748145358,
      "energy_derivative": -19189.751873184345
    },
    {
      "amplitude": 98.70757778884104,
      "energy_derivative": -17903.57411612908
    },
    {
      "amplitude": 99.23261809622849,
      "energy_derivative": -16586.66553734889
    },
    {
      "amplitude": 99.75765840361595,
      "energy_derivative": -15238.772860840603
    },
    {
      "amplitude": 100.28269871100339,
      "energy_derivative": -13859.642810600868
    },
    {
      "amplitude": 100.80773901839085,
      "energy_derivative": -12449.022110626625
    },
    {
      "amplitude": 101.3327793257783,
      "energy_derivative": -11006.657484914525
    },
    {
      "amplitude": 101.85781963316575,
      "energy_derivative": -9532.29565746145
    },
    {
      "amplitude": 102.3828599405532,
      "energy_derivative": -8025.683352264052
    },
    {
      "amplitude": 102.90790024794066,
      "energy_derivative": -6486.5672933190945
    },
    {
      "amplitude": 103.43294055532812,
      "energy_derivative": -4914.69420462352
    },
    {
      "amplitude": 103.95798086271556,
      "energy_derivative": -3309.8108101740363
    },
    {
      "amplitude": 104.48302117010302,
      "energy_derivative": -1671.6638339671772
    },
    {
      "amplitude": 105.00806147749047,
      "energy_derivative": 0.0
    },
    {
      "amplitude": 105.53310178487791,
      "energy_derivative": 1705.433967730729
    },
    {
      "amplitude": 106.05814209226537,
      "energy_derivative": 3444.891345228418
    },
    {
      "amplitude": 106.58318239965283,
      "energy_derivative": 5218.625408496184
    },
    {
      "amplitude": 107.10822270704027,
      "energy_derivative": 7026.889433537202
    },
    {
      "amplitude": 107.63326301442773,
      "energy_derivative": 8869.936696354882
    },
    {
      "amplitude": 108.15830332181518,
      "energy_derivative": 10748.020472952281
    },
    {
      "amplitude": 108.68334362920264,
      "energy_derivative": 12661.394039332634
    },
    {
      "amplitude": 109.20838393659008,
      "energy_derivative": 14610.310671499232
    },
    {
      "amplitude": 109.73342424397754,
      "energy_derivative": 16595.02364545531
    },
    {
      "amplitude": 110.258464551365,
      "energy_derivative": 18615.786237204098
    },
    {
      "amplitude": 110.78350485875244,
      "energy_derivative": 20672.85172274866
    },
    {
      "amplitude": 111.3085451661399,
      "energy_derivative": 22766.473378092458
    },
    {
      "amplitude": 111.83358547352735,
      "energy_derivative": 24896.90447923867
    },
    {
      "amplitude": 112.35862578091479,
      "energy_derivative": 27064.398302190355
    },
    {
      "amplitude": 112.88366608830225,
      "energy_derivative": 29269.20812295092
    },
    {
      "amplitude": 113.4087063956897,
      "energy_derivative": 31511.58721752354
    },
    {
      "amplitude": 113.93374670307716,
      "energy_derivative": 33791.78886191145
    },
    {
      "amplitude": 114.4587870104646,
      "energy_derivative": 36110.06633211783
    },
    {
      "amplitude": 114.98382731785206,
      "energy_derivative": 38466.672904145904
    },
    {
      "amplitude": 115.50886762523952,
      "energy_derivative": 40861.86185399897
    },
    {
      "amplitude": 116.03390793262696,
      "energy_derivative": 43295.8864576802
    },
    {
      "amplitude": 116.55894824001442,
      "energy_derivative": 45768.99999119283
    },
    {
      "amplitude": 117.08398854740187,
      "energy_derivative": 48281.455730540154
    },
    {
      "amplitude": 117.60902885478933,
      "energy_derivative": 50833.506951725285
    },
    {
      "amplitude": 118.13406916217677,
      "energy_derivative": 53425.40693075152
    },
    {
      "amplitude": 118.65910946956423,
      "energy_derivative": 56057.408943622024
    },
    {
      "amplitude": 119.18414977695168,
      "energy_derivative": 58729.76626634016
    },
    {
      "amplitude": 119.70919008433913,
      "energy_derivative": 61442.732174908975
    },
    {
      "amplitude": 120.23423039172658,
      "energy_derivative": 64196.55994533183
    },
    {
      "amplitude": 120.75927069911404,
      "energy_derivative": 66991.50285361195
    },
    {
      "amplitude": 121.28431100650148,
      "energy_derivative": 69827.81417575246
    },
    {
      "amplitude": 121.80935131388894,
      "energy_derivative": 72705.7471877567
    },
    {
      "amplitude": 122.3343916212764,
      "energy_derivative": 75625.55516562785
    },
    {
      "amplitude": 122.85943192866385,
      "energy_derivative": 78587.49138536915
    },
    {
      "amplitude": 123.3844722360513,
      "energy_derivative": 81591.80912298377
    },
    {
      "amplitude": 123.90951254343875,
      "energy_derivative": 84638.76165447495
    },
    {
      "amplitude": 124.43455285082621,
      "energy_derivative": 87728.60225584602
    },
    {
      "amplitude": 124.95959315821365,
      "energy_derivative": 90861.5842031
    },
    {
      "amplitude": 125.4846334656011,
      "energy_derivative": 94037.96077224048
    },
    {
      "amplitude": 126.00967377298856,
      "energy_derivative": 97257.98523927032
    },
    {
      "amplitude": 126.534714080376,
      "energy_derivative": 100521.91088019282
    },
    {
      "amplitude": 127.05975438776346,
      "energy_derivative": 103829.9909710114
    },
    {
      "amplitude": 127.58479469515092,
      "energy_derivative": 107182.47878772911
    },
    {
      "amplitude": 128.10983500253838,
      "energy_derivative": 110579.62760634936
    },
    {
      "amplitude": 128.63487530992583,
      "energy_derivative": 114021.69070287509
    },
    {
      "amplitude": 129.15991561731326,
      "energy_derivative": 117508.92135330959
    },
    {
      "amplitude": 129.68495592470072,
      "energy_derivative": 121041.57283365622
    },
    {
      "amplitude": 130.20999623208817,
      "energy_derivative": 124619.89841991838
    },
    {
      "amplitude": 130.73503653947563,
      "energy_derivative": 128244.15138809895
    },
    {
      "amplitude": 131.2600768468631,
      "energy_derivative": 131914.58501420124
    },
    {
      "amplitude": 131.78511715425054,
      "energy_derivative": 135631.45257422864
    },
    {
      "amplitude": 132.310157461638,
      "energy_derivative": 139395.0073441842
    },
    {
      "amplitude": 132.83519776902543,
      "energy_derivative": 143205.50260007125
    },
    {
      "amplitude": 133.36023807641288,
      "energy_derivative": 147063.19161789282
    },
    {
      "amplitude": 133.88527838380034,
      "energy_derivative": 150968.32767365256
    },
    {
      "amplitude": 134.4103186911878,
      "energy_derivative": 154921.16404335317
    },
    {
      "amplitude": 134.93535899857525,
      "energy_derivative": 158921.95400299842
    },
    {
      "amplitude": 135.4603993059627,
      "energy_derivative": 162970.95082859125
    },
    {
      "amplitude": 135.98543961335017,
      "energy_derivative": 167068.4077961347
    },
    {
      "amplitude": 136.5104799207376,
      "energy_derivative": 171214.5781816321
    },
    {
      "amplitude": 137.03552022812505,
      "energy_derivative": 175409.71526108694
    },
    {
      "amplitude": 137.5605605355125,
      "energy_derivative": 179654.07231050218
    },
    {
      "amplitude": 138.08560084289996,
      "energy_derivative": 183947.90260588133
    },
    {
      "amplitude": 138.61064115028742,
      "energy_derivative": 188291.45942322747
    },
    {
      "amplitude": 139.13568145767488,
      "energy_derivative": 192684.99603854353
    },
    {
      "amplitude": 139.66072176506233,
      "energy_derivative": 197128.76572783326
    },
    {
      "amplitude": 140.18576207244976,
      "energy_derivative": 201623.0217670994
    },
    {
      "amplitude": 140.71080237983722,
      "energy_derivative": 206168.01743234543
    },
    {
      "amplitude": 141.23584268722468,
      "energy_derivative": 210764.00599957467
    },
    {
      "amplitude": 141.76088299461213,
      "energy_derivative": 215411.24074479018
    },
    {
      "amplitude": 142.2859233019996,
      "energy_derivative": 220109.97494399536
    },
    {
      "amplitude": 142.81096360938704,
      "energy_derivative": 224860.46187319327
    },
    {
      "amplitude": 143.33600391677447,
      "energy_derivative": 229662.95480838662
    },
    {
      "amplitude": 143.86104422416193,
      "energy_derivative": 234517.70702557988
    },
    {
      "amplitude": 144.3860845315494,
      "energy_derivative": 239424.97180077527
    },
    {
      "amplitude": 144.91112483893684,
      "energy_derivative": 244385.00240997656
    },
    {
      "amplitude": 145.4361651463243,
      "energy_derivative": 249398.0521291867
    },
    {
      "amplitude": 145.96120545371176,
      "energy_derivative": 254464.37423440896
    },
    {
      "amplitude": 146.4862457610992,
      "energy_derivative": 259584.22200164653
    },
    {
      "amplitude": 147.01128606848664,
      "energy_derivative": 264757.84870690247
    },
    {
      "amplitude": 147.5363263758741,
      "energy_derivative": 269985.5076261804
    },
    {
      "amplitude": 148.06136668326155,
      "energy_derivative": 275267.45203548355
    },
    {
      "amplitude": 148.586406990649,
      "energy_derivative": 280603.93521081493
    },
    {
      "amplitude": 149.11144729803647,
      "energy_derivative": 285995.21042817784
    },
    {
      "amplitude": 149.63648760542392,
      "energy_derivative": 291441.53096357535
    },
    {
      "amplitude": 150.16152791281138,
      "energy_derivative": 296943.150093011
    },
    {
      "amplitude": 150.6865682201988,
      "energy_derivative": 302500.3210924872
    },
    {
      "amplitude": 151.21160852758626,
      "energy_derivative": 308113.29723800835
    },
    {
      "amplitude": 151.73664883497372,
      "energy_derivative": 313782.33180557704
    },
    {
      "amplitude": 152.26168914236118,
      "energy_derivative": 319507.6780711969
    },
    {
      "amplitude": 152.78672944974863,
      "energy_derivative": 325289.5893108704
    },
    {
      "amplitude": 153.3117697571361,
      "energy_derivative": 331128.3188006015
    },
    {
      "amplitude": 153.83681006452355,
      "energy_derivative": 337024.119816393
    },
    {
      "amplitude": 154.36185037191098,
      "energy_derivative": 342977.245634248
    },
    {
      "amplitude": 154.88689067929843,
      "energy_derivative": 348987.9495301703
    },
    {
      "amplitude": 155.4119309866859,
      "energy_derivative": 355056.48478016304
    },
    {
      "amplitude": 155.93697129407335,
      "energy_derivative": 361183.10466022906
    },
    {
      "amplitude": 156.4620116014608,
      "energy_derivative": 367368.06244637165
    },
    {
      "amplitude": 156.98705190884826,
      "energy_derivative": 373611.61141459434
    },
    {
      "amplitude": 157.51209221623571,
      "energy_derivative": 379914.00484089996
    }
  ]
}
