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g2c_curves • Show schema
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{'Lhash': '487870340873587198', 'abs_disc': 175616, 'analytic_rank': 1, 'analytic_rank_proved': False, 'analytic_sha': 1, 'aut_grp_id': '[2,1]', 'aut_grp_label': '2.1', 'aut_grp_tex': 'C_2', 'bad_lfactors': '[[2,[1]],[7,[1,0,7]]]', 'bad_primes': [2, 7], 'class': '12544.g', 'cond': 12544, 'disc_sign': -1, 'end_alg': 'Q', 'eqn': '[[-2,-4,-2,0,1,1],[0,0,0,1]]', 'g2_inv': "['2048/343','4416/343','-2816/343']", 'geom_aut_grp_id': '[8,3]', 'geom_aut_grp_label': '8.3', 'geom_aut_grp_tex': 'D_4', 'geom_end_alg': 'M_2(Q)', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': False, 'igusa_clebsch_inv': "['8','-203','455','686']", 'igusa_inv': "['16','552','-5632','-98704','175616']", 'is_gl2_type': False, 'is_simple_base': True, 'is_simple_geom': False, 'label': '12544.g.175616.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.78612553371226652729043558649114947778802439704606', 'prec': 173}, 'locally_solvable': True, 'modell_images': ['2.90.1', '3.270.1'], 'mw_rank': 1, 'mw_rank_proved': True, 'non_solvable_places': [], 'num_rat_pts': 6, 'num_rat_wpts': 0, 'real_geom_end_alg': 'M_2(R)', 'real_period': {'__RealLiteral__': 0, 'data': '11.290429355099267450307480157', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '0.0464184020517', 'prec': 50}, 'root_number': -1, 'st_group': 'J(E_4)', 'st_label': '1.4.E.8.3a', 'st_label_components': [1, 4, 4, 8, 3, 0], 'tamagawa_product': 6, 'torsion_order': 2, 'torsion_subgroup': '[2]', 'two_selmer_rank': 2, 'two_torsion_field': ['4.0.392.1', [1, 1, 0, -1, 1], [4, 3], False]}
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g2c_endomorphisms • Show schema
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{'factorsQQ_base': [['1.1.1.1', [0, 1], -1]], 'factorsQQ_geom': [['1.1.1.1', [0, 1], 1]], 'factorsRR_base': ['RR'], 'factorsRR_geom': ['M_2(RR)'], 'fod_coeffs': [2, -12, 23, -2, 1, 8, -3, -2, 1], 'fod_label': '8.0.481890304.3', 'is_simple_base': True, 'is_simple_geom': False, 'label': '12544.g.175616.1', 'lattice': [[['1.1.1.1', [0, 1], [0, 0, 0, 0, 0, 0, 0, 0]], [['1.1.1.1', [0, 1], -1]], ['RR'], [1, -1], 'J(E_4)'], [['2.0.8.1', [2, 0, 1], ['-11/4', '21/2', '-7/8', '7/4', '7/2', '-7/4', '-7/8', '1/2']], [['2.0.4.1', [1, 0, 1], -1]], ['CC'], [1, -1], 'E_4'], [['2.2.56.1', [-14, 0, 1], [-4, '3/2', '-5/2', '-5/4', '5/4', '1/4', '-1/4', 0]], [['1.1.1.1', [0, 1], -1]], ['RR'], [1, -1], 'J(E_2)'], [['2.0.7.1', [2, -1, 1], ['-33/16', '155/16', '-9/32', '31/32', '45/16', '-21/16', '-23/32', '13/32']], [['1.1.1.1', [0, 1], -1]], ['RR'], [1, -1], 'J(E_2)'], [['4.0.3136.2', [2, -8, 9, -2, 1], ['5/16', '13/16', '-19/32', '25/32', '11/16', '-7/16', '-5/32', '3/32']], [['2.0.4.1', [1, 0, 1], -1]], ['CC'], [1, -1], 'E_2'], [['4.2.21952.1', [-10, -4, 5, -2, 1], [-4, 17, '-1/2', '5/2', '21/4', '-11/4', '-5/4', '3/4']], [['2.2.8.1', [-2, 0, 1], -1]], ['RR', 'RR'], [1, -1], 'J(E_1)'], [['4.0.2744.1', [2, 3, 3, -1, 1], ['1/2', '-29/8', '1/4', '-21/16', '-5/4', '7/8', '1/4', '-3/16']], [['1.1.1.1', [0, 1], -1], ['1.1.1.1', [0, 1], -1]], ['RR', 'RR'], [2, -1], 'J(E_1)'], [['4.0.2744.1', [2, 3, 3, -1, 1], ['-23/16', '59/16', '1/32', '7/32', '19/16', '-9/16', '-9/32', '5/32']], [['1.1.1.1', [0, 1], -1], ['1.1.1.1', [0, 1], -1]], ['RR', 'RR'], [2, -1], 'J(E_1)'], [['4.2.21952.1', [-10, -4, 5, -2, 1], ['-15/16', '1/16', '9/32', '-35/32', '-1/16', '5/16', '-1/32', '-1/32']], [['2.2.8.1', [-2, 0, 1], -1]], ['RR', 'RR'], [1, -1], 'J(E_1)'], [['8.0.481890304.3', [2, -12, 23, -2, 1, 8, -3, -2, 1], [0, 1, 0, 0, 0, 0, 0, 0]], [['1.1.1.1', [0, 1], 1]], ['M_2(RR)'], [4, 0], 'E_1']], 'ring_base': [1, -1], 'ring_geom': [4, 0], 'spl_facs_coeffs': [[[112, 280, 112, -56], [5124, 7700, 8596, -812]], [[112, -1288, 560, -280], [-22764, -59150, 25704, -16338]]], 'spl_facs_condnorms': [1024, 1024], 'spl_fod_coeffs': [2, 3, 3, -1, 1], 'spl_fod_gen': ['-23/16', '59/16', '1/32', '7/32', '19/16', '-9/16', '-9/32', '5/32'], 'spl_fod_label': '4.0.2744.1', 'st_group_base': 'J(E_4)', 'st_group_geom': 'E_1'}
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g2c_ratpts • Show schema
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{'label': '12544.g.175616.1', 'mw_gens': [[[[1, 1], [1, 1], [0, 1]], [[1, 1], [0, 1], [0, 1], [0, 1]]], [[[-2, 1], [0, 1], [1, 1]], [[0, 1], [-1, 1], [0, 1], [0, 1]]]], 'mw_gens_v': True, 'mw_heights': [{'__RealLiteral__': 0, 'data': '0.04641840205171747268548426475264', 'prec': 113}], 'mw_invs': [0, 2], 'num_rat_pts': 6, 'rat_pts': [[-3, 10, 1], [-3, 17, 1], [-1, 0, 1], [-1, 1, 1], [1, -1, 0], [1, 0, 0]], 'rat_pts_v': True}
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g2c_galrep • Show schema
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id: 4617
{'conductor': 12544, 'lmfdb_label': '12544.g.175616.1', 'modell_image': '2.90.1', 'prime': 2}
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id: 4618
{'conductor': 12544, 'lmfdb_label': '12544.g.175616.1', 'modell_image': '3.270.1', 'prime': 3}
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g2c_tamagawa • Show schema
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id: 11116
{'label': '12544.g.175616.1', 'p': 2, 'tamagawa_number': 3}
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id: 11117
{'cluster_label': 'c3c3_1~2_0', 'label': '12544.g.175616.1', 'p': 7, 'tamagawa_number': 2}
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g2c_plots • Show schema
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{'label': '12544.g.175616.1', 'plot': 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T2BAPwbW8EBKAm2gnO5Q4ekiy6SfvtNeustadAg24kAlAe2ggNQHEYAXS48vGAm8FNPSceO2c0DAAAqHgUQGjLEXA7es0d65RXbaQAAQEWjAELVqpllYSTpxRellBS7eQAAQMWiAEKS1KeP1Lq1lJ4u/e1vttMAAICKRAGEJKlKFenll83xzJnSN9/YzQMAACoOBRD52reXevWScnOlkSNZHBqoKPHx8YqNjVVoaKjq16%2BvHj16aPv27YVek5mZqbi4ONWtW1chISHq3r27du/ebSkxAKehAKKQF180i0MvXy4tXWo7DeBMq1ev1pAhQ7Ru3TotX75cOTk56tKlizIyMvJfM3z4cCUmJmr%2B/Plas2aN0tPT1a1bN51kwU4A5YB1AHGKxx6TJk2SmjY1l4IDA20nApxt//79ql%2B/vlavXq1rrrlGaWlpqlevnmbPnq0%2BffpIkvbs2aPo6GgtXbpUXbt2PeNnsg4ggOIwAohTPPmkVK%2BetH27NG2a7TSA86WlpUmSwsPDJUmbNm1Sdna2unTpkv%2BaqKgoNWvWTGvXrj3tZ2RmZurIkSOFHgBQFAogThEWJo0fb47HjpUOHLAaB3A0r9erESNGqH379mrWrJkkKSUlRUFBQapdu3ah10ZERCiliHWa4uPjFRYWlv%2BIjo6u8OwA/BcFEKd1zz1Sy5Zmi7inn7adBnCuoUOH6uuvv9Z77713xtd6vV55PJ7TPjdmzBilpaXlP5KTk8s7KgAHoQDitKpWlaZMMcdvvCF99ZXdPIATxcXFadGiRVq1apUaNGiQfz4yMlJZWVk6fPhwodenpqYqIiLitJ8VHBysWrVqFXoAQFEogChShw7S7bebZWGGDWNZGKC8eL1eDR06VAsWLNDKlSvVqFGjQs%2B3atVKgYGBWr58ef65vXv3auvWrWrbtm1lxwXgQMwCRrF%2B%2BUW69FLp%2BHHp/fel3r1tJwL838MPP6x58%2Bbpo48%2BUtOmTfPPh4WFqXr16pKkhx56SIsXL9asWbMUHh6uUaNG6eDBg9q0aZOqVq16xu/BLGAAxaEA4oyefVZ65hmpQQPp%2B%2B%2BlkBDbiQD/VtR9fG%2B//bbuvvtuSdKJEyf017/%2BVfPmzdPx48fVqVMnTZs2rcSTOyiAAIpDAcQZHT8uxcRIu3ZJTzxRMEMYgO%2BiAAIoDvcA4oyqV5cmTzbHL70k7dhhNw8AADg7FECUyC23SF27SllZTAgBAMDfUQBRIh6P9NprZlu4Tz6RPvrIdiIAAFBWFECUWJMm0qhR5njYMOnYMbt5AABA2VAAUSpPPik1bCj9%2Bqv0/PO20wAAgLKgAKJUQkIKdgh56SVp%2B1cnpK1bpZ077QYDIElKSEhQTEyMYmNjbUcB4MNYBgal5vVKt9yUo9hPxumRwNcVln3QPHHllVJ8vNS5s92AAFgGBkCxKIAok/Qed6rmR3NPfSIgwMwSoQQCVlEAARSHS8AovaSk05c/ScrJMatFAwAAn0UBROl98EHxz2/caLYNAQAAPokCiNLLyCif1wAAACsogCi9q68u/vk6daSLLqqcLAAAoNQogCi9nj2l6Oiin3/oIalatcrLAwAASoUCiNILCpKWLj1tCZxfpZ929HvGQigAAFBSLAODssvKkv71L2n9enlrhOjhT3tr%2Bhct1bGjtHKl2T8YgB0sAwOgOBRAlJuff5aaNZOOH5f%2B8Q9p8GDbiQD3ogACKA6XgFFuLrxQeu45czxqlLR3r908gBuxFRyAkmAEEOUqJ8dMEt60ycwV%2BfBD24kAd2IEEEBxGAFEuQoIkGbOlKpWNbcHLlhgOxEAAPgjCiDKXcuW0ujR5njIEOnwYbt5AABAYRRAVIinn5YuuURKSZFGjLCdBgAA/B4FEBWiWjVzKdjjkWbNkpYts50IAADkoQBWAq9Xysy0naLytW0rPfKIOb7/funIEbt5AACAQQGsBImJUpMm0ltvmVmybjJ%2BvFkeJjlZeuwx22kAAIBEAawUr78u/fqrWRj5ssuk%2BfOl3FzbqSpHSIi5FCxJM2ZIK1bYzQMAACiAlWLRIumll6Q6daQffpDuuEO6/HJp4UJzedjpOnaUHn7YHA8eLB09ajUOAACuRwGsBNWrSyNHSjt3Ss8%2BK4WFSd98I916qxQbKy1d6vwi%2BOKL0gUXSL/8wqVgAABsowBWotBQszzKzz9LTzxhLo9u2iTddJPUpo307387twjWrFlwKXj6dC4FAxWFreAAlARbwVm0f780caKUkCAdP27OtWkjjR0rXX%2B9WULFaYYMkaZNk84/X/r6a4kdqoCKwVZwAIrDCKBF9epJkyaZEcFHHzVr533xhdS1q9SunVk7z2n1/MUXpUaNzKXgUaNspwEAwJ0ogD4gMlJ65RVTBIcPLyiCN9wgXX21tGSJc4pgzZpmORxJevNNc9kbAABULgqgDzn3XGnyZDNZ5NFHzeSRDRukbt2kVq2kBQucsXxMx45SXJw5vvdeKS3NahwAAFyHAuiD8kYEd%2B6U/vpXM1lkyxapZ0%2BpRQtp3jz/X1A6Pl66%2BGJp924z6gkAACoPBdCHRUSYSSK7dklPPmkmTHz7rdS/v3TJJeYSqr9uMRcSIr39dsFewYsX204EAIB7UAD9QN260vPPm4kTzz1nFpT%2B6Sezv%2B6FF0ovv%2Byfiyu3by%2BNGGGO779fOnTIbh4AANyCZWD8UEaGGf176SXpf/8z52rXNkusxMVJ9evbzVcax49LV1whbd8u3XmnNHu27USAM7AMDIDiUAD9WFaWKUwTJ5ot5iQzg3jQIDOydvHFdvOV1Pr1Utu2ZoLLwoXSLbfYTgT4PwoggOJwCdiPBQWZvXW3bZM%2B/NBsK3fihPT661LTplKvXqZc%2BbqrrjKTXSTpgQekgwft5gEAwOkogA5QtaqZIbx%2BvbRqlVk/MDdX%2Bte/zDqC7dtLiYnSyZO2kxZt7Fjp0kulffukYcNspwH8F1vBASgJLgE71NatZnLI3LlSdrY5d9FFplzdfbfZl9jX/P5S8Mcfm/UPAZQNl4ABFIcC6HB79khTp0rTp0uHD5tzYWFmAeahQ6ULLrAa7xR//auZ3BIVZS5th4XZTgT4JwoggOJQAF0iI0N65x1pypSCCSNVqkjdu0uPPGJ25/B4rEaUZGYFt2gh/fijuR9w%2BnTbiQD/RAEEUBwKoMvk5kqffGKK4PLlBeebNTMjgv37m/16bfr0U%2Bnaa83xmjVSu3ZW4wB%2BiQIIoDgUQBfbtk36%2B9%2Bld9%2BVjh0z52rVMvcIPvigmZRhy733SjNnmmK6ebMUGGgvC%2BCPKIAAikMBhH77zWzHlpBgLr3m6djRFMFbbzVLzhTJ6y3368cHD5rt7g4cMPcEjhxZrh8POB4FEEBxWAYGOuccafhwsxvHsmXmvsAqVcyl2L59pQYNpMcek3bs%2BMMb33/frDNTtarZ3HfQoNO8qGzq1JEmTDDH48aZ5WEAp/jss8908803KyoqSh6PRwsXLiz0vNfr1dixYxUVFaXq1aurY8eO%2Bvbbby2lBeBEFEDkq1JF6tpV%2Bugjadcu6emnzWzc/fulSZOkJk3MqODs2VLWU%2BNMO1y/3owAHjtmhhGvusqsQVMOBg2SrrzS7HM8bly5fCTgEzIyMtSyZUtNnTr1tM9PnDhRr7zyiqZOnaqNGzcqMjJS119/vY7646bfAHwSl4BRrJwcafFis/fwsmVmEsn52qWfdJGqKvf0b%2Bra1by4HKxebUpnQICZvdyoUbl8LOAzPB6PEhMT1aNHD0lm9C8qKkrDhw/X6NGjJUmZmZmKiIjQiy%2B%2BqAceeKBEn8slYADFYQQQxQoIkHr0kJYsMaOCzz4rPXLO7KLLnyT95z/S3r3l8v07dJCuv94U0ZdeKpePBHzazp07lZKSoi5duuSfCw4OVocOHbR27doi35eZmakjR44UegBAUSiAKLHoaHNZ%2BNE79xf/Qq9XB7cfKLfv%2B/jj5us775jLwYCTpaSkSJIiIiIKnY%2BIiMh/7nTi4%2BMVFhaW/4iOjq7QnAD8GwUQpea59JJinz%2Bm6rrouvN13XXS669Lxfw3q0SuvVZq3NgsZr1kydl9FuAvPH%2BYWe/1ek8593tjxoxRWlpa/iM5ObmiIwLwYxRAlN6dd5oFA4vwn3r9leatpVWrpIcfNhNJ2rWTJk6UvvvOzBkpDY9Huvlmc7xmzVnkBvxAZGSkJJ0y2peamnrKqODvBQcHq1atWoUeAFAUCiBKr1Yt6YMPpBo1Tn2udWv12PGSfv7ZFL7WrU3hW7tWGj1aiomRLrzQrC/4r3%2BZdf5KomFD8zU1tfz%2BGIAvatSokSIjI7X8d1v1ZGVlafXq1Wrbtq3FZACcJMB2APiprl3NcN6MGWYpmJAQqXdv6fbbpaAgNQqT/vpX89i9W1q0yDw%2B/dRMJpkxwzwks%2BNImzZSq1Zm54/GjaX69c3ygrm50rffSnPmmNdeeKGtPzBQftLT0/Xj71Zd37lzp5KSkhQeHq6GDRtq%2BPDheuGFF9S4cWM1btxYL7zwgmrUqKF%2B/fpZTA3ASVgGBpUqI0NatcrsQ7xihSl3p%2BPxmAHGzEwzA1iSwsKkr76Szj%2B/8vICFeHTTz/VtXkbXv/OwIEDNWvWLHm9Xo0bN04zZszQ4cOHddVVVykhIUHNmjUr8fdgGRgAxaEAwqoDB8zl4Q0bpC1bzP7Ev/5qRv7yVKtmBhzj4%2B3uTwz4EwoggOJQAOFzcnJMMczIMOUvIsKsRwig5CiAAIrDf1bhcwICpP8/ERIAAFQAZgEDAAC4DAUQAADAZSiAAAAALkMBBAAHSUhIUExMjGJjY21HAeDDmAUMAA7ELGAAxWEEEAAAwGUogAAAAC5DAQQAAHAZCiAAAIDLUAABAABchgIIAADgMhRAAAAAl6EAAgAAuAwFEAAAwGUogADgIGwFB6Ak2AoOAByIreAAFIcRQAAA4AgnT5oHzowCCAAA/Nru3dJzz0kXXSR99JHtNP4hwHYAAACA0srOlpYskf7xD%2BmTT6TcXHN%2B3jzpttvsZvMHFEAAAOA3tm%2BXZs6U3n1X2rev4Pw110j33Sf17Gkvmz%2BhAAIAAJ%2BWni598IH01lvS//1fwfmICGngQGnwYKlJE3v5/BEFEAAA%2BByvV1qzRnr7bVP%2BMjLM%2BapVpRtukO65R%2BrWTQoMtJvTX1EAAQCAz0hONpd3Z82Sfvyx4Hzjxqb03XWXFBVlLZ5jUAABAIBVx45JiYmm9K1YYUb/JKlmTal3b2nQIKldO8njsRrTUSiAAACg0uVd4n3nHXOJ9%2BjRguc6dDClr2dPUwJR/iiAAOAgCQkJSkhI0ElWw4WP%2BuknafZsc5l3586C840amcu7AweaY1QstoIDAAdiKzj4ksOHpX/%2B05S%2B38/iDQ2VevUype/Pf5aqsD1FpWEEEAAAlLusLLNA8%2BzZ0scfm3%2BWTMnr3NmM9t16q1Sjht2cbkUBBAAA5cLrldatk%2BbMkd5/Xzp4sOC55s2lAQOk/v2ZxesLKIAAAOCs7NhhSt/cueYevzznniv162eKX8uW9vLhVBRAAABQaqmpZvbunDnS%2BvUF50NCzKXdAQOk666TAmgaPon/WQAAQIlkZEgffWRG%2Bv79bylvsnmVKtL115vS16OHKYHwbRRAAABQpJwcszjz3LnSggUFW7JJ0pVXSnfeKfXta/blhf%2BgAAIAgEK8XmnTJlP63ntP2rev4LkLLzQTOfr3l5o2tZcRZ4cCCAAAJJmFmefONff1bd9ecL5OHalPHzPad/XVbMnmBBRAAABc7PBhM5lj9uzCizRXqybdcospfV26SEFB9jKi/FEAAcBB2AoOJZG3SPO770qLFxcs0uzxmJm7AwaYmbxsIuNcbAUHoEQOHzajA8nJ0vHj5lxwsNnK6ZxzzCWievXMjeC1apXjJaIVK8weUhkZUuvWZvuAsLBy%2BnDnYis4/JHXK23eLL3zjjRvXuFFmlu0MKXvjjuk886zlxGVhwII4IxWrpRuvlk6dqxkr69e3az036CBeURHSw0bSuefX/CoWfMMH3LihHTbbWaY4vfCw6WlS6WrrirTn8UtKIDIs2%2Bfuadv1ixp69aC85GRZiLHXXeZAgh34RIwgDNasKCg/F1%2BuXTZZWY0ITNTOnpU%2Bu036cABszBseroZIfzpp8I7AvxR3bpSo0YFjwsvlC66yDwaNJACnnrq1PInSYcOSd27S7t2maYJ4BQ5OWadvn/8w1zizckx54ODzTp9d99t9uNlkWb3YgQQwBlt3ix16GDKXWCgNHCeXGiHAAAYt0lEQVSgFBd3%2BlGDY8ekvXulPXuk3bvNJePkZOnXX6VffjGP334r/vvVCjim5Nwo1cpNK/pFb70lDRp0dn8wB2ME0J2Sk03pmzlT%2Bt//Cs63bm3%2BuvTta27ZACiAAErk%2B%2B%2BloUPNLXl5WrUyl5B69jSXeEsqLc0M4O3cKf38c8HXn34yx42ztmqrmhf7GUsujNP/9XlNMTFSTIx0ySVSjRpl%2B7M5EQXQPbxe6b//lRISpI8/lnJzzfk6dczl3cGDzag98HsUQACl8n//J736qrRwYcFlJUm64grpppukrl3N7XmBgWX7/Nxcae%2BGZJ3XpvhG%2BZye0t/0XP4/ezzm8nGLFmbT%2BT/9yexSEBlZthz%2BjgLofMePm1m8U6ZI331XcL5DB%2BnBB80s3uBge/ng2yiAAMpk/36zdtj770tr1phRiDwhIVK7dtKf/yy1bSvFxprZwqXy5z%2BbDy7Cu49v09rDl%2Bq776Rt28w9iKfTsKHUvr1Z2uLGG6Vzzy1lDj9FAXSuw4elv//dPPJ%2B72vWNPf1PfywdOmlVuPBT1AAAZy11FQzX%2BOTT8wl4j%2BWMY/HXKL905/MJJLmzaVmzcxM4SKXi5k1q%2Bh7/Fq2lJKSCp3at8/McPzqK/PUpk1mVOT3/4bzeKROnaRnn5XatCnzH9cvUACd5/Bh6eWXpddeM5OvJOmCC6Rhw6R77mHNPpQOBRBAucrNNUXss8/MAN4XX5gJIKcTGmr2Em3c2Fy%2BbdTILBETHS1ddH8nVV29suhvtGOHdPHFxWY5elTasEFavdrMiNywwZwPCDAl0cn3RVEAnSMz04z2jR9fMIGqRQtpzBipVy9m8qJsKIBnwev16mje/w0DUKTUVGnLFjM6t3Wr9O23ZtJH3s3qfxShvfpBlxT7mWuveVxb/jJGQUHmP4BVqpjzOTlmV4Pjx6UjR8yqMSkpZtLJ7/c2/egjqWPHcvnj%2BYTMzExlZmbm//PRo0cVExOj5ORkCqAfW71aGj7c/H2RzOXdJ58099vm/c6j7EJDQ%2BVx6cbGFMCzkPf/sAEAgP9x8wg5BfAsnG4EMDY2Vhs3bizzZ57N%2B22998iRI4qOji7zSIOt3Da/Nz%2BzM0hPl7dJE3kyMop8ybzWr2pFw0HKyjKjfnmjiVWrmpmP1aubG%2BNr1zYzgSdNitPy5X8v/r7Ds81dzu8tzfv/OAK4d%2B9etW7dWtu2bdN5Zdjbyy9%2BT8r5vb7y9/J//zPr9X39tXnu3nulv/2t%2BB0QbfzMzvbndTbfu7ze6%2BYRQO4cOAsej%2BeUX/qqVaue1f%2BbOJv323pvnlq1apXpM2zm5mdWue8v8Xtr1TJTGhMSTv987dp6cMVgPXjG/eQKzJixUZde6n9/t872/aGhoZX%2BO3a273fz38udO6W//MXcN1uvntnCrUuXyvneZVXWn9fZfm/bvyf%2BrurYsWPH2g7hNK1bt7b2fhvvzczM1IQJEzRmzBgFl3HRKVt/Zlvfm59ZCXToIH3%2B%2BakzSEJDpcREM3ukor63D723rO8/cuSIJk%2BerBEjRpT5P3R%2B8XtSju%2B1/ffykktaq2NHc79fkyZmIlWrVpXzvcvy3vL4eZX1e9t%2BrxNwCRhnjdmGpcfPrIROnpQ%2B/ljZc%2Bdq6YcfqutTT6na0KFSRITtZD5v9%2B7d%2BZfnGjRoYDuOX7D99/LBB6UZM8xe2OvXm2WSfJntnxfODpeAcdaCg4P1zDPPnNX/A3QbfmYlVLWq1KOHcm%2B4QVsuu0x/GTOGrQ1KKO93i9%2BxkrP59/KXX6Q33zTHc%2Bb4fvmT%2BPeYv2MEEAAciNEZ//Lyy9KoUdK110ori1n%2BEigvrCIEAIBleTN%2BO3e2mwPuQQEEAMCy48fN11LvmQ2UEQUQAADL8u75%2B%2BknuzngHhRAAAAsa9vWfF2yROLOfFQGCiDO2tixY3XJJZcoJCREtWvXVufOnbV%2B/XrbsXxSdna2Ro8erebNmyskJERRUVG66667tGfPHtvRfNqCBQvUtWtX1a1bVx6PR0lJSbYjwUE%2B%2B%2Bwz3XzzzYqKipLH49HChQsrPcONN5qda378UVq2rNK/fanEx8crNjZWoaGhql%2B/vnr06KHtv99oG36BAoiz1qRJE02dOlXffPON1qxZowsuuEBdunTR/v37bUfzOceOHdPmzZv19NNPa/PmzVqwYIF%2B%2BOEHde/e3XY0n5aRkaF27dppwoQJtqP4vISEBMXExCg2NtZ2FL%2BRkZGhli1baurUqdYy1KwpPfCAOR4zxiyB6atWr16tIUOGaN26dVq%2BfLlycnLUpUsXZRSzdSN8D8vAoNzlLT/x3//%2BV506dbIdx%2Bdt3LhRrVu31i%2B//KKGDRvajuPTdu3apUaNGmnLli26/PLLbcfxaSwDUzYej0eJiYnq0aNHpX/vAwekxo2l334zy8KMGFHpEcpk//79ql%2B/vlavXq1rrrnGdhyUECOAKFdZWVl64403FBYWppYtW9qO4xfS0tLk8Xh0zjnn2I4CwKK6daWJE83xE09IX31lN09JpaWlSZLCw8MtJ0FpUABRLhYvXqyaNWuqWrVqmjx5spYvX666devajuXzTpw4occff1z9%2BvVjlAaA7r1XuukmKTNTuv12Mxroy7xer0aMGKH27durWbNmtuOgFCiAKJW5c%2BeqZs2a%2BY/PP/9cknTttdcqKSlJa9eu1V/%2B8hf17t1bqampltPaV9TPSzITQvr27avc3FxNmzbNYkrfUtzPDHA6j0eaNUtq2FDasUO64w4pJ8d2qqINHTpUX3/9td577z3bUVBK3AOIUjl69Kj27duX/8/nnXeeqlevfsrrGjdurHvuuUdjxoypzHg%2Bp6ifV3Z2tnr37q2ff/5ZK1euVJ06dSym9C3F/Y5xD2DJcQ9g2di8B/D3Nm%2BW2rc3C0Q/9JCUkGDKoS%2BJi4vTwoUL9dlnn6lRo0a246CUAmwHgH8JDQ1VaAmWqvd6vcrMzKyERL7tdD%2BvvPK3Y8cOrVq1ivL3ByX9HQOc7E9/kubMkXr1kl5/XTrvPOnJJ22nMrxer%2BLi4pSYmKhPP/2U8uenKIA4KxkZGRo/fry6d%2B%2Buc889VwcPHtS0adO0e/du3X777bbj%2BZycnBz16tVLmzdv1uLFi3Xy5EmlpKRIMjdQBwUFWU7omw4dOqRff/01f73EvDXHIiMjFRkZaTMaHCA9PV0//vhj/j/v3LlTSUlJCg8Ptzoz/7bbpFdflYYNk556ykwSyVsqxqYhQ4Zo3rx5%2BuijjxQaGpr/77CwsLDTXhGCj/ICZ%2BH48ePeW2%2B91RsVFeUNCgrynnvuud7u3bt7N2zYYDuaT9q5c6dX0mkfq1atsh3PZ7399tun/Zk988wztqP5rLS0NK8kb1pamu0oPm/VqlWn/f0aOHCg7Wher9frfeIJr1fyej0er3fuXNtpvEX%2BO%2Bztt9%2B2HQ2lwD2AAOBA3APoHF6vNHSoNG2aVLWq9MEHZnQQOBvMAgYAwId5PNLf/y4NHGh2COnTR1q0yHYq%2BDsKIAA4CFvBOVOVKtLMmQXLwvTqJS1ZYjsV/BmXgAHAgbgE7Ew5OVK/ftI//ykFBUkLFpiFo4HSYgQQAAA/ERAgzZ1rRgCzssy9gEuX2k4Ff0QBBADAjwQGSvPmST17mhJ4661cDkbpUQABAPAzgYHSe%2B8VlMDbbpMWL7adCv6EAggAgB/KK4G/vxz88ce2U8FfUAABAPBTeSXw9tul7GwzIsgSMSgJCiAAAH4sIMDcE9i7tymBvXpRAnFmFEAAAPxc3uzgPn0KSiCXg1EcCiAAAA4QECDNmVNQAnv2ZGIIikYBBADAIfJKYN7l4J49WScQp0cBBAAHYSs45JXA388O/ve/baeCr2ErOABwILaCQ3a2uRycmChVq2YuB3fqZDsVfAUjgAAAOFBgoDR/vnTzzdKJE1L37tJnn9lOBV9BAQQAwKGCgqR//lP6y1%2BkY8ekm26S1q2znQq%2BgAIIAICDBQdLCxZI110npaebMrhli%2B1UsI0CCACAw1WvbhaHbt9eSkuTunSRtm2znQo2UQABAHCBkBAzEeTKK6UDB6Trr5d%2B/tl2KthCAQQAwCXCwqRly6TLLpP27JE6dzZf4T4UQAAAXKROHWn5cumii6SdO83l4IMHbadCZaMAAgDgMueea0pgVJT07bdmdnB6uu1UqEwUQAAAXKhRI%2Bk//5HCw6X16822cVlZtlOhslAAAcBB2AoOpXHZZWav4Bo1TBm8%2B24pN9d2KlQGtoIDAAdiKziUxr//LXXrJuXkSMOGSZMnSx6P7VSoSIwAAgDgcl27Su%2B8Y46nTJFeesluHlQ8CiAAAFC/ftLLL5vjxx6T5s61mwcViwIIAAAkSSNGmIckDRokrVxpNw8qDgUQAADkmzRJ6t1bys6Wbr1V2rrVdiJUBAogAADIV6WKuR/wz3%2BWjhyRbryR3UKciAIIAJVowYIF6tq1q%2BrWrSuPx6OkpKRTXpOZmam4uDjVrVtXISEh6t69u3bv3m0hLdyqWjVp4UKpaVMpOVm6%2BWYpI8N2KpQnCiAAVKKMjAy1a9dOEyZMKPI1w4cPV2JioubPn681a9YoPT1d3bp108mTJysxKdwuPNysEVi3rrR5s5kkwq%2Bgc7AOIABYsGvXLjVq1EhbtmzR5Zdfnn8%2BLS1N9erV0%2BzZs9WnTx9J0p49exQdHa2lS5eqa9euJfp81gFEefniC%2Bnaa6XMTDNBJG%2BmMPwbI4AA4EM2bdqk7OxsdenSJf9cVFSUmjVrprVr1xb5vszMTB05cqTQAygPbdpIs2aZ41dekf7xD6txUE4ogADgQ1JSUhQUFKTatWsXOh8REaGUlJQi3xcfH6%2BwsLD8R3R0dEVHhYv07SuNG2eOH3pI%2BvRTq3FQDiiAAFBB5s6dq5o1a%2BY/Pv/88zJ/ltfrlaeYvbnGjBmjtLS0/EdycnKZvxdwOk8/bYpgTo7Us6f088%2B2E%2BFsBNgOAABO1b17d1111VX5/3zeeeed8T2RkZHKysrS4cOHC40Cpqamqm3btkW%2BLzg4WMHBwWcXGCiGxyO99Zb000/Sxo1mZvAXX0jcYuqfGAEEgAoSGhqqiy%2B%2BOP9RvXr1M76nVatWCgwM1PLly/PP7d27V1u3bi22AAKVoXp1szzMuedK27ZJAwZIubm2U6EsKIAAUIkOHTqkpKQkbdu2TZK0fft2JSUl5d/fFxYWpsGDB2vkyJFasWKFtmzZojvvvFPNmzdX586dbUYHJElRUaYEBgdLixZJY8faToSyoAACQCVatGiRrrjiCt10002SpL59%2B%2BqKK67Q9OnT818zefJk9ejRQ71791a7du1Uo0YNffzxx6pataqt2EAhrVtLb7xhjp97TkpMtJsHpcc6gADgQKwDiMrw6KPSq69KNWtK69dLMTG2E6GkGAEEAABlMnGiWSQ6PV269VYpLc12IpQUBRAAAJRJYKD0/vtSdLT0ww/S3XczKcRfUAABAECZ1asn/etfUlCQmRwycaLtRCgJCiAAADgrsbHS1Knm%2BMknpZUr7ebBmVEAAcBBEhISFBMTo9jYWNtR4DL33ltwCfiOO6Q9e2wnQnGYBQwADsQsYNhw7JjUpo309ddS%2B/bSqlVSAHuO%2BSRGAAEAQLmoUUP68EOzPdyaNeZyMHwTBRAAAJSbxo2lmTPN8cSJ0pIldvPg9CiAAACgXPXqJcXFmeO77pKSk%2B3mwakogAAAoNxNmiS1aiUdOiT16yfl5NhOhN%2BjAAIAgHIXHGwWiQ4NNfcDjhtnOxF%2BjwIIAAAqxEUXSW%2B8YY7HjzezguEbKIAAAKDC9O0rDR4seb3SnXdKBw7YTgSJAggAACrYlClS06Zmcei8Mgi7KIAAAKBChYRI8%2Beb/YIXLZJmzLCdCBRAAABQ4S6/XJowwRyPGCF9953dPG5HAQQAB2EvYPiyYcOk66%2BXjh%2BX%2BveXsrJsJ3Iv9gIGAAdiL2D4qj17pBYtpIMHpccfl%2BLjbSdyJ0YAAQBApYmKKlga5sUXpc8/t5vHrSiAAACgUt12m3T33WY28F13SUeP2k7kPhRAAABQ6aZMkc4/X9q1S3r0Udtp3IcCCAAAKl2tWtI770gejzRzprRkie1E7kIBBAAAVnToIA0fbo7vvVc6dMhuHjehAAIAAGvGj5cuuURKSZHi4myncQ8KIAAAsKZ6dXMpuEoVad48KTHRdiJ3oAACAACrWreWRo82xw8%2BKB04YDePG1AAAQCAdc88I112mZSaKj3yiO00zkcBBAAHYSs4%2BKvgYOntt82l4PfekxYtsp3I2dgKDgAciK3g4K8ef9zsEHLuudK2bdI559hO5EyMAAIAAJ8xdqzUpIm0d680cqTtNM5FAQQAAD6jWjWzMLQkvfWWtGKF3TxORQEEAAA%2BpX17acgQc3z//dKxY3bzOBEFEAAA%2BJz4eKlBA%2Bnnn81lYZQvCiAAAPA5oaHS66%2Bb41dekbZssZvHaSiAAADAJ3XrJvXuLZ08Kd13n/mK8kEBBAAAPmvKFCksTNq0SZo61XYa56AAAgAAnxUZadYFlKSnnpJ277abxykogAAAwKfdd5/Utq2Uns42ceWFAggADsJWcHCiKlWk6dOlgAApMVFavNh2Iv/HVnAA4EBsBQcneuwxadIk6fzzzTZxNWrYTuS/GAEEAAB%2B4ZlnpIYNpV9%2BkZ5/3nYa/0YBBAAAfiEkxMwKlqSXXpK%2B/95uHn9GAQQAAH7jllukm26SsrOloUMlbmQrGwogAADwGx6P9NprUnCwtGKF9M9/2k7knyiAAADAr1x4ofT44%2BZ45EgpI8NuHn9EAQSASpKdna3Ro0erefPmCgkJUVRUlO666y7t2bOn0OsOHz6sAQMGKCwsTGFhYRowYIB%2B%2B%2B03S6kB3zR6tHTBBWZh6PHjbafxPxRAAKgkx44d0%2BbNm/X0009r8%2BbNWrBggX744Qd179690Ov69eunpKQkLVu2TMuWLVNSUpIGDBhgKTXgm6pXl1591Ry//LK0Y4fdPP6GdQABwKKNGzeqdevW%2BuWXX9SwYUN99913iomJ0bp163TVVVdJktatW6c2bdro%2B%2B%2B/V9OmTUv0uawDCDfweqUbb5SWLTMTQ1gguuQYAQQAi9LS0uTxeHTOOedIkr744guFhYXllz9JuvrqqxUWFqa1a9cW%2BTmZmZk6cuRIoQfgdB6PGQUMDJSWLJGWLrWdyH9QAAHAkhMnTujxxx9Xv3798kfpUlJSVL9%2B/VNeW79%2BfaWkpBT5WfHx8fn3DIaFhSk6OrrCcgO%2BpGlTadgwc/zoo1JWlt08/oICCAAVZO7cuapZs2b%2B4/PPP89/Ljs7W3379lVubq6mTZtW6H0ej%2BeUz/J6vac9n2fMmDFKS0vLfyQnJ5ffHwTwcU89JdWvL/3wg/T3v9tO4x8CbAcAAKfq3r17oUu55513niRT/nr37q2dO3dq5cqVhe7Ri4yM1L59%2B075rP379ysiIqLI7xUcHKzg4OByTA/4j7AwKT5eGjxYevZZacAAUwhRNAogAFSQ0NBQhYaGFjqXV/527NihVatWqU6dOoWeb9OmjdLS0rRhwwa1bt1akrR%2B/XqlpaWpbdu2lZYd8Dd33y1Nny796U9SAO3mjJgFDACVJCcnRz179tTmzZu1ePHiQiN64eHhCgoKkiTdcMMN2rNnj2bMmCFJuv/%2B%2B3X%2B%2Befr448/LvH3YhYw3CgrS/r/f41wBhRAAKgku3btUqNGjU773KpVq9SxY0dJ0qFDh/TII49o0aJFksyl5KlTp%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%2BxmJ337C8TkAAAAAElFTkSuQmCC'}