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        "1198/20827",
        "803/13960"
      ],
      "rates": [
        "-618*t**2/71 - 283*t/71 + 23/71",
        "206*t**2/71 + 47*t/71 + 16/71",
        "-412*t**2/71 - 307*t/71 + 39/71",
        "t",
        "824*t**2/71 + 472*t/71 - 7/71"
      ],
      "tau": "206*t**2/71 - 24*t/71 - 55/71",
      "c": "-174830*t**2/51191 - 254915*t/51191 + 15116/51191",
      "D": "16686*t**2/71 - 5139*t/71 + 515/71",
      "U": "150174*t**2/47357 + 85383*t/47357 + 6836/47357",
      "V": "-12164094*t/3362347 - 158193/3362347",
      "pair": [
        0,
        3
      ],
      "proof_path": "proofs/SmallCusp/Cusp/PositiveCusp14.lean",
      "proof_sha256": "46ee0df93f16cd8daa64398c3f3a2a1b4b70b5a236d86ff6923c2fece4bbcc85",
      "right_kernel": [
        "(824/71)*t**2 + (472/71)*t**1 + (-7/71)*t**0",
        "(-618/71)*t**2 + (-141/71)*t**1 + (23/71)*t**0"
      ],
      "left_kernel": [
        "(14214/497)*t**2 + (-9253/497)*t**1 + (1672/497)*t**0",
        "(-25544/497)*t**2 + (6242/497)*t**1 + (359/497)*t**0"
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      "center": [
        "(-26876/497)*t**2 + (-8630/497)*t**1 + (594/497)*t**0",
        "(12112/497)*t**2 + (8096/497)*t**1 + (-522/497)*t**0"
      ]
    },
    {
      "ordinal": 15,
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      "minimal": "1051*t**2 + 216*t - 12",
      "interval": [
        "686/15081",
        "873/19192"
      ],
      "rates": [
        "4/51 - 19*t/51",
        "6/17 - 3*t/17",
        "22/51 - 79*t/51",
        "t",
        "56*t/51 + 7/51"
      ],
      "tau": "-20*t/3 - 4/3",
      "c": "12441296/882576199 - 432823272*t/882576199",
      "D": "4797/1598 - 34683*t/3196",
      "U": "11561*t/15300 + 929/2550",
      "V": "127171/16299600",
      "pair": [
        0,
        3
      ],
      "proof_path": "proofs/SmallCusp/Cusp/PositiveCusp15.lean",
      "proof_sha256": "b45ccb1f504ee6cd80061702d95edc01308146e2494cffe9123b8144fe606582",
      "right_kernel": [
        "(224/51)*t**1 + (28/51)*t**0",
        "(65/17)*t**1 + (6/17)*t**0"
      ],
      "left_kernel": [
        "(-22071/12784)*t**1 + (44031/44744)*t**0",
        "(15765/1316)*t**1 + (87/1316)*t**0"
      ],
      "center": [
        "(184828/148191)*t**1 + (392/49397)*t**0",
        "(435260/2519247)*t**1 + (-87080/839749)*t**0"
      ]
    },
    {
      "ordinal": 16,
      "indices": [
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      ],
      "minimal": "10217*t**2 - 790*t - 175",
      "interval": [
        "1894/10815",
        "1825/10421"
      ],
      "rates": [
        "14*t/9 - 2/9",
        "t/15 + 1/3",
        "1/9 - 17*t/45",
        "7/9 - 101*t/45",
        "t"
      ],
      "tau": "-23*t/9 - 7/9",
      "c": "19965315808*t/18476514753 - 3546366880/18476514753",
      "D": "51085*t/2124 + 7745/2124",
      "U": "2339/4320 - 10217*t/4320",
      "V": "10217/1835136",
      "pair": [
        0,
        2
      ],
      "proof_path": "proofs/SmallCusp/Cusp/PositiveCusp16.lean",
      "proof_sha256": "03cc69c97688623d0d725a7826f928c62ec1a3b811e3e99cebe5975c886198fe",
      "right_kernel": [
        "(-101/45)*t**1 + (7/9)*t**0",
        "(4/5)*t**1"
      ],
      "left_kernel": [
        "(8776403/2081520)*t**1 + (650987/416304)*t**0",
        "(-234991/59472)*t**1 + (89689/59472)*t**0"
      ],
      "center": [
        "(28284992/5425227)*t**1 + (-4887680/5425227)*t**0",
        "(-1969200/602803)*t**1 + (324240/602803)*t**0"
      ]
    },
    {
      "ordinal": 17,
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        0,
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      ],
      "minimal": "167*t**3 - 198*t**2 + 84*t - 8",
      "interval": [
        "3203/24366",
        "3562/27097"
      ],
      "rates": [
        "835*t**2/408 - 143*t/102 + 19/102",
        "-167*t**2/408 - 53*t/102 + 37/102",
        "t",
        "-167*t**2/68 + 32*t/17 + 3/17",
        "167*t**2/204 - 49*t/51 + 14/51"
      ],
      "tau": "-1169*t**2/408 + 241*t/102 - 149/102",
      "c": "933513*t**2/9025181 + 571380*t/9025181 - 106044/9025181",
      "D": "3841*t**2/352 - 1055*t/88 + 353/88",
      "U": "835*t**2/32 - 41*t/2 + 21/8",
      "V": "6709/5632 - 19205*t/11264",
      "pair": [
        0,
        2
      ],
      "proof_path": "proofs/SmallCusp/Cusp/PositiveCusp17.lean",
      "proof_sha256": "dea73b641875d7e27b1c839abe880ad2ecb6b5ff5161d7cd1cb9d3562e4c5e0f",
      "right_kernel": [
        "(-167/68)*t**2 + (32/17)*t**1 + (3/17)*t**0",
        "(835/408)*t**2 + (-41/102)*t**1 + (19/102)*t**0"
      ],
      "left_kernel": [
        "(334/99)*t**2 + (-8507/1584)*t**1 + (2297/792)*t**0",
        "(-14195/4224)*t**2 + (2621/1056)*t**1 + (199/352)*t**0"
      ],
      "center": [
        "(11109/6358)*t**2 + (-1926/3179)*t**1 + (186/3179)*t**0",
        "(-2220/3179)*t**2 + (4/3179)*t**1 + (-40/3179)*t**0"
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    },
    {
      "ordinal": 18,
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      "minimal": "99*t**2 - 24*t + 1",
      "interval": [
        "3218/17029",
        "2255/11933"
      ],
      "rates": [
        "1 - 5*t",
        "2*t",
        "7*t - 1",
        "1 - 5*t",
        "t"
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      "tau": "-3*t - 1",
      "c": "1208*t/1815 - 712/5445",
      "D": "22*t - 1",
      "U": "39/5 - 198*t/5",
      "V": "44/5",
      "pair": [
        0,
        3
      ],
      "proof_path": "proofs/SmallCusp/Cusp/PositiveCusp18.lean",
      "proof_sha256": "dcda61c286fda5bb4cde1f74cae1e7d6cf3b6abde1f550f4d256dce812527e69",
      "right_kernel": [
        "(9/1)*t**1 + (-1/1)*t**0",
        "(-3/1)*t**1 + (1/1)*t**0"
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      "left_kernel": [
        "(231/20)*t**1 + (-23/20)*t**0",
        "(-33/20)*t**1 + (19/20)*t**0"
      ],
      "center": [
        "(-248/55)*t**1 + (152/165)*t**0",
        "(-216/55)*t**1 + (104/165)*t**0"
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    },
    {
      "ordinal": 19,
      "indices": [
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        21,
        28
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      "minimal": "t",
      "interval": [
        "0",
        "0"
      ],
      "rates": [
        "1/19",
        "7/19",
        "17/57",
        "7/57",
        "3/19"
      ],
      "tau": "-27/19",
      "c": "-686/185193",
      "D": "34/27",
      "U": "27/34",
      "V": "0",
      "pair": [
        0,
        3
      ],
      "proof_path": "proofs/SmallCusp/Cusp/PositiveCusp19.lean",
      "proof_sha256": "59d25e725ca80e34723cd5492fa467a80763c4deada6d413db5d2c905c06dcc2",
      "right_kernel": [
        "(12/19)*t**0",
        "(7/19)*t**0"
      ],
      "left_kernel": [
        "(95/81)*t**0",
        "(19/27)*t**0"
      ],
      "center": [
        "(196/3249)*t**0",
        "(-980/9747)*t**0"
      ]
    },
    {
      "ordinal": 20,
      "indices": [
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        9,
        10,
        22,
        28
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      "minimal": "109*t**2 - 6*t - 3",
      "interval": [
        "990/5059",
        "4069/20793"
      ],
      "rates": [
        "1/8 - 3*t/8",
        "3/8 - t/8",
        "3/4 - 9*t/4",
        "7*t/4 - 1/4",
        "t"
      ],
      "tau": "-27*t/8 - 7/8",
      "c": "-8399*t/3184108 - 13083/3184108",
      "D": "5232*t/67 - 900/67",
      "U": "109*t/63 + 17/84",
      "V": "-1744/1407",
      "pair": [
        0,
        3
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      "proof_path": "proofs/SmallCusp/Cusp/PositiveCusp20.lean",
      "proof_sha256": "d499b1c22ba8b73cbe22ecbba8f28d188ad4c56e3e5e82baec4d549a28076a34",
      "right_kernel": [
        "(9/4)*t**1 + (1/4)*t**0",
        "(13/8)*t**1 + (1/8)*t**0"
      ],
      "left_kernel": [
        "(7957/134)*t**1 + (-1419/134)*t**0",
        "(-2943/536)*t**1 + (925/536)*t**0"
      ],
      "center": [
        "(2659/14606)*t**1 + (403/14606)*t**0",
        "(-4999/14606)*t**1 + (-483/14606)*t**0"
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    },
    {
      "ordinal": 21,
      "indices": [
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      "minimal": "530*t**2 + 130*t - 7",
      "interval": [
        "2315/50956",
        "2226/48997"
      ],
      "rates": [
        "33*t/23 + 6/23",
        "t",
        "9/23 - 54*t/23",
        "4*t/23 + 7/23",
        "1/23 - 6*t/23"
      ],
      "tau": "-61*t/23 - 9/23",
      "c": "-765327*t/33272605 - 211638/33272605",
      "D": "47520/2369 - 372060*t/2369",
      "U": "689*t/3726 + 257/3726",
      "V": "8957/163461",
      "pair": [
        1,
        4
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      "proof_path": "proofs/SmallCusp/Cusp/PositiveCusp21.lean",
      "proof_sha256": "fa1c3eb5066a6cfdc112d45941470eae34fc87af863afc7a268359b4eb8aedbd",
      "right_kernel": [
        "(-16/23)*t**1 + (-5/23)*t**0",
        "(27/23)*t**1 + (7/23)*t**0"
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      "left_kernel": [
        "(411280/2369)*t**1 + (-21550/2369)*t**0",
        "(32330/2369)*t**1 + (3160/2369)*t**0"
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      "center": [
        "(46538/125557)*t**1 + (67578/627785)*t**0",
        "(27860/125557)*t**1 + (42042/627785)*t**0"
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    {
      "ordinal": 22,
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      "minimal": "225*t**3 - 135*t**2 + 27*t - 1",
      "interval": [
        "993/20962",
        "1075/22693"
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      "rates": [
        "15*t**2/2 - 4*t + 1/2",
        "15*t**2/2 - 3*t + 1/6",
        "-15*t**2 + 7*t",
        "1/3 - t",
        "t"
      ],
      "tau": "-45*t**2/2 + 8*t - 5/6",
      "c": "-24*t**2/295 + 268*t/4425 - 112/13275",
      "D": "4275*t**2/59 - 3330*t/59 + 699/59",
      "U": "825*t**2/76 - 205*t/76 + 4/19",
      "V": "1675/1121 - 825*t/236",
      "pair": [
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        4
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      "proof_path": "proofs/SmallCusp/Cusp/PositiveCusp22.lean",
      "proof_sha256": "a08578b1b8fb0c33e3d67b58d91be85e0d69331fef4ed2395cb41923404a13ec",
      "right_kernel": [
        "(1/1)*t**1 + (-1/3)*t**0",
        "(15/2)*t**2 + (-4/1)*t**1 + (1/2)*t**0"
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      "left_kernel": [
        "(-10125/118)*t**2 + (450/59)*t**1 + (-165/118)*t**0",
        "(-675/59)*t**2 + (-765/118)*t**1 + (273/118)*t**0"
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      "center": [
        "(70/59)*t**2 + (-644/885)*t**1 + (122/885)*t**0",
        "(124/59)*t**2 + (-716/885)*t**1 + (88/885)*t**0"
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    },
    {
      "ordinal": 23,
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      "minimal": "79*t**2 - 44*t + 1",
      "interval": [
        "329/13859",
        "321/13522"
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      "rates": [
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        "2*t",
        "1/3 - 7*t/3",
        "1/3 - t/3",
        "t"
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      "tau": "-23*t/3 - 1/3",
      "c": "-19064*t/93615 - 328/93615",
      "D": "467/27 - 869*t/27",
      "U": "869*t/60 - 17/60",
      "V": "9559/1620",
      "pair": [
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        4
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      "proof_path": "proofs/SmallCusp/Cusp/PositiveCusp23.lean",
      "proof_sha256": "90f33d82736b8c728aa64bc1a02efd5f681a23024357d818a282ec3eb8040fe5",
      "right_kernel": [
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        "(5/3)*t**1 + (1/3)*t**0"
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      "left_kernel": [
        "(553/180)*t**1 + (-229/180)*t**0",
        "(-1817/540)*t**1 + (1091/540)*t**0"
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      "center": [
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        "(-2264/1185)*t**1 + (152/1185)*t**0"
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      "minimal": "t",
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      "rates": [
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        "9/28",
        "1/28",
        "2/7",
        "1/28"
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      "tau": "-15/28",
      "c": "-81/6860",
      "D": "54/5",
      "U": "5/54",
      "V": "0",
      "pair": [
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      "proof_path": "proofs/SmallCusp/Cusp/PositiveCusp24.lean",
      "proof_sha256": "091066eff4d6c87fc5c4ac8888a208735a056df7c55fed19a457d0472d8d8384",
      "right_kernel": [
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        "(3/7)*t**0"
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      "left_kernel": [
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        "(28/15)*t**0"
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      "center": [
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        "(27/490)*t**0"
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    },
    {
      "ordinal": 25,
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      "minimal": "2971*t**3 - 867*t**2 + 489*t - 25",
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        "7564/136153"
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        "-14855*t**2/3712 + 3271*t/1856 + 949/3712",
        "8913*t**2/3712 - 849*t/1856 + 173/3712",
        "-2971*t**2/1856 - 645*t/928 + 561/1856",
        "t"
      ],
      "tau": "-38623*t**2/3712 + 1823*t/1856 - 1987/3712",
      "c": "386376*t**2/430795 - 34768*t/430795 - 568/86159",
      "D": "1179487*t**2/18560 - 40659*t/1856 + 36007/3712",
      "U": "353549*t**2/178176 + 44971*t/89088 + 14441/178176",
      "V": "-140358953*t/3306946560 - 5656489/661389312",
      "pair": [
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        4
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      "proof_path": "proofs/SmallCusp/Cusp/PositiveCusp25.lean",
      "proof_sha256": "4bb9dfc0e1869cb4b0193a3f098db4e031af3c883bb8aef691b74e4ea71bf483",
      "right_kernel": [
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        "(14855/1856)*t**2 + (-2343/928)*t**1 + (907/1856)*t**0"
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      "left_kernel": [
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        "(5641929/296960)*t**2 + (-875209/148480)*t**1 + (131777/59392)*t**0"
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      "center": [
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        "(2769/1160)*t**2 + (-17/580)*t**1 + (9/232)*t**0"
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    },
    {
      "ordinal": 26,
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      "minimal": "8485*t**2 - 1166*t + 25",
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        "34/1279",
        "2087/78508"
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      "rates": [
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        "115*t/13 + 1/13",
        "2/13 - 56*t/13",
        "33*t/13 + 3/13",
        "t"
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      "tau": "17*t - 1",
      "c": "18209528568*t/9621441869 - 615957048/9621441869",
      "D": "50944/3341 - 288490*t/3341",
      "U": "28849*t/24570 + 113/2457",
      "V": "490433/41044185",
      "pair": [
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      "proof_path": "proofs/SmallCusp/Cusp/PositiveCusp26.lean",
      "proof_sha256": "d8195d47d454403f6f99d37a993869a6478b00b847dc6adc7cc04ddb8d4fbda3",
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        "(-191/13)*t**1 + (11/13)*t**0"
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      "left_kernel": [
        "(-3538245/374192)*t**1 + (-235003/374192)*t**0",
        "(-144245/4112)*t**1 + (11337/4112)*t**0"
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      "center": [
        "(-1947848/436129)*t**1 + (106232/436129)*t**0",
        "(21025900/5669677)*t**1 + (-217756/5669677)*t**0"
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    },
    {
      "ordinal": 27,
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      "minimal": "677*t**2 + 252*t - 12",
      "interval": [
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        "1066/24955"
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        "t",
        "3/10 - 3*t/20",
        "1/20 - 11*t/40"
      ],
      "tau": "-23*t/10 - 2/5",
      "c": "-28977015*t/171415046 - 370785/85707523",
      "D": "45359*t/3740 + 15921/1870",
      "U": "2493/19600 - 45359*t/117600",
      "V": "3039053/439824000",
      "pair": [
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      "proof_path": "proofs/SmallCusp/Cusp/PositiveCusp27.lean",
      "proof_sha256": "060c1f26831d50e22ecd8f1fe599b3f940a645b1b7e3c809dcc7948e754a15af",
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        "(37/20)*t**1 + (3/10)*t**0"
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      "left_kernel": [
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        "(15571/1870)*t**1 + (1544/935)*t**0"
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      "center": [
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        "(-61010/126599)*t**1 + (10320/126599)*t**0"
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    },
    {
      "ordinal": 28,
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      "minimal": "1457*t**3 - 1011*t**2 + 339*t - 17",
      "interval": [
        "1500/25027",
        "463/7725"
      ],
      "rates": [
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        "-1457*t**2/314 + 446*t/157 + 61/314",
        "4371*t**2/1256 - 867*t/628 + 131/1256",
        "-1457*t**2/1256 - 339*t/628 + 375/1256",
        "t"
      ],
      "tau": "-1457*t**2/157 + 421*t/157 - 96/157",
      "c": "586145*t**2/2516239 + 1814*t/2516239 - 22711/2516239",
      "D": "951421*t**2/27632 - 361417*t/13816 + 232405/27632",
      "U": "4371*t**2/1256 + 743*t/7536 + 943/7536",
      "V": "642539/208234752 - 2854263*t/34705792",
      "pair": [
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      "proof_path": "proofs/SmallCusp/Cusp/PositiveCusp28.lean",
      "proof_sha256": "ee67d1a47a2c8bb143267b089070c9874aa9299b68021a47e54999a1d47c52a2",
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        "(7285/1256)*t**2 + (-2073/628)*t**1 + (637/1256)*t**0"
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      "left_kernel": [
        "(-278287/55264)*t**2 + (-48421/27632)*t**1 + (-60255/55264)*t**0",
        "(980561/110528)*t**2 + (-488087/55264)*t**1 + (283309/110528)*t**0"
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        "414/14617"
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        "13931*t**2/912 - 4481*t/456 + 515/912",
        "-13931*t**2/456 + 3797*t/228 - 59/456",
        "13931*t**2/608 - 3417*t/304 + 211/608",
        "-13931*t**2/1824 + 3113*t/912 + 397/1824",
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      "tau": "-13931*t**2/228 + 3227*t/114 - 287/228",
      "c": "-15204686*t**2/5029091 + 6567028*t/5029091 - 240926/5029091",
      "D": "1239859*t**2/11552 - 461281*t/5776 + 153147/11552",
      "U": "-738343*t**2/38912 + 60565*t/19456 + 673/38912",
      "V": "65712527*t/449511424 - 20379029/449511424",
      "pair": [
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      "proof_path": "proofs/SmallCusp/Cusp/PositiveCusp29.lean",
      "proof_sha256": "05942dde6349962c6df7530ffdb26aa7468c982a8e80dd877ef8bb035477419d",
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      "left_kernel": [
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        "(-1022/361)*t**2 + (804/361)*t**1 + (2/361)*t**0"
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    {
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        "2226/48997"
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        "9/23 - 54*t/23",
        "4*t/23 + 7/23",
        "33*t/23 + 6/23",
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      ],
      "tau": "-62*t/23 - 28/23",
      "c": "533037*t/1421354 - 34755/1421354",
      "D": "14310*t/12397 + 37152/12397",
      "U": "623/1863 - 265*t/1863",
      "V": "265/855393",
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      "proof_path": "proofs/SmallCusp/Cusp/PositiveCusp30.lean",
      "proof_sha256": "ef00067c87ad76b6377ac695eba8d28ea15dd70e848a091621ea2c51b098c1e6",
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        "(35/23)*t**1 + (21/23)*t**0"
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      "left_kernel": [
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        "(-8215/1771)*t**1 + (1695/1771)*t**0"
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        "(-46455/13409)*t**1 + (-595/13409)*t**0",
        "(3195/13409)*t**1 + (1526/13409)*t**0"
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    {
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        "2695/35587"
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        "452*t**2/151 - 8*t/151 + 39/151",
        "-226*t**2/151 - 147*t/151 + 56/151",
        "-565*t**2/151 - 141*t/151 + 129/302",
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      "tau": "904*t**2/151 + 286*t/151 - 224/151",
      "c": "-63264*t**2/119441 + 3867*t/17063 - 2460/119441",
      "D": "-1921*t**2/151 - 1476*t/151 + 801/302",
      "U": "-1130*t**2/151 - 1601*t/453 + 129/151",
      "V": "-9605*t/22801 - 57727/136806",
      "pair": [
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      "proof_path": "proofs/SmallCusp/Cusp/PositiveCusp31.lean",
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        "(-678/151)*t**2 + (-290/151)*t**1 + (168/151)*t**0"
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        "(11187/1057)*t**2 + (511/151)*t**1 + (949/2114)*t**0"
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        "13/48",
        "5/16",
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        "5/48"
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      "tau": "-5/4",
      "c": "-625/98304",
      "D": "117/100",
      "U": "100/117",
      "V": "0",
      "pair": [
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      "proof_path": "proofs/SmallCusp/Cusp/PositiveCusp32.lean",
      "proof_sha256": "6cb838fcc68b80dcdf652e6a561e060768206c28565c358895ecb4af696426af",
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      "center": [
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        "9/28",
        "2/7",
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        "1/28"
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      "tau": "-39/28",
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      "U": "13/36",
      "V": "0",
      "pair": [
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      "proof_path": "proofs/SmallCusp/Cusp/PositiveCusp33.lean",
      "proof_sha256": "c3e05aa8a089803ffb341e73922d05c77a13c05ad8407f47b06b4dca88ac0934",
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      "center": [
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        "161/7377"
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        "2/5 - 3*t",
        "3/10",
        "5*t/2 + 1/4",
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      "tau": "-6*t - 6/5",
      "c": "6*t/5 - 3/80",
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      "U": "36*t/49 + 51/245",
      "V": "9/245",
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      "proof_path": "proofs/SmallCusp/Cusp/PositiveCusp34.lean",
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        "(-80/3)*t**1 + (4/3)*t**0"
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        "(-2/1)*t**1 + (3/20)*t**0"
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      "tau": "-15/19",
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      "pair": [
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      "proof_path": "proofs/SmallCusp/Cusp/PositiveCusp35.lean",
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        "933*t**2/86 + 91*t/43 + 17/86",
        "4665*t**2/172 + 335*t/43 - 1/172",
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      "tau": "933*t**2/86 + 48*t/43 - 69/86",
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      "D": "98587*t**2/172 + 4858*t/43 - 29/516",
      "U": "-9357057*t**2/1606136 - 780543*t/803068 + 424455/1606136",
      "V": "988729023*t/276255392 + 9667533/9526048",
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      "proof_path": "proofs/SmallCusp/Cusp/PositiveCusp36.lean",
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        "1/15 - 19*t/105",
        "2/3 - 32*t/21",
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      "tau": "-64*t/21 - 2/3",
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      "proof_path": "proofs/SmallCusp/Cusp/PositiveCusp37.lean",
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        "(-6704/567)*t**1 + (499/162)*t**0"
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        "1168*t**2/1283 - 1140*t/1283 + 349/1283"
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      "U": "10147*t**2/2566 - 42023*t/20528 + 9501/20528",
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        "-2799*t**2/172 - 158*t/43 + 35/172",
        "933*t**2/86 + 91*t/43 + 17/86",
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      "tau": "8397*t**2/172 + 302*t/43 - 105/172",
      "c": "4788708*t**2/628531 + 332552*t/628531 - 63820/1885593",
      "D": "-945129*t**2/2021 - 27459*t/2021 + 42334/2021",
      "U": "-3505281*t**2/1606136 + 604113*t/803068 + 43459/1606136",
      "V": "703103775/1623000428 - 3550849653*t/3246000856",
      "pair": [
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      "proof_path": "proofs/SmallCusp/Cusp/PositiveCusp41.lean",
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      "proof_path": "proofs/SmallCusp/Cusp/PositiveCusp43.lean",
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