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g2c_curves • Show schema
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{'Lhash': '898745104469034071', 'abs_disc': 36450, 'analytic_rank': 0, 'analytic_rank_proved': True, 'analytic_sha': 1, 'aut_grp_id': '[4,2]', 'aut_grp_label': '4.2', 'aut_grp_tex': 'C_2^2', 'bad_lfactors': '[[2,[1,2,3,2]],[3,[1,0,-1]],[5,[1,0,-1]]]', 'bad_primes': [2, 3, 5], 'class': '450.a', 'cond': 450, 'disc_sign': 1, 'end_alg': 'Q x Q', 'eqn': '[[-16,-6,28,-9,-4,1],[1,0,0,1]]', 'g2_inv': "['6916057684302385301/36450','5303516319500302/675','1294426477922/3']", 'geom_aut_grp_id': '[4,2]', 'geom_aut_grp_label': '4.2', 'geom_aut_grp_tex': 'C_2^2', 'geom_end_alg': 'Q x Q', 'globally_solvable': 1, 'has_square_sha': True, 'hasse_weil_proved': True, 'igusa_clebsch_inv': "['23444','212089','1627179821','4665600']", 'igusa_inv': "['5861','1422468','457836300','164990835819','36450']", 'is_gl2_type': True, 'is_simple_base': False, 'is_simple_geom': False, 'label': '450.a.36450.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.1956145387347962213478497730349625509052434223455857702', 'prec': 190}, 'locally_solvable': True, 'modell_images': ['2.180.7', '3.720.4'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [], 'num_rat_pts': 4, 'num_rat_wpts': 0, 'real_geom_end_alg': 'R x R', 'real_period': {'__RealLiteral__': 0, 'data': '18.778995718540437249393578211', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, 'st_group': 'SU(2)xSU(2)', 'st_label': '1.4.B.1.1a', 'st_label_components': [1, 4, 1, 1, 1, 0], 'tamagawa_product': 6, 'torsion_order': 24, 'torsion_subgroup': '[2,12]', 'two_selmer_rank': 2, 'two_torsion_field': ['4.4.1600.1', [4, 0, -6, 0, 1], [4, 2], True]}
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g2c_endomorphisms • Show schema
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{'factorsQQ_base': [['1.1.1.1', [0, 1], -1], ['1.1.1.1', [0, 1], -1]], 'factorsQQ_geom': [['1.1.1.1', [0, 1], -1], ['1.1.1.1', [0, 1], -1]], 'factorsRR_base': ['RR', 'RR'], 'factorsRR_geom': ['RR', 'RR'], 'fod_coeffs': [0, 1], 'fod_label': '1.1.1.1', 'is_simple_base': False, 'is_simple_geom': False, 'label': '450.a.36450.1', 'lattice': [[['1.1.1.1', [0, 1], [0]], [['1.1.1.1', [0, 1], -1], ['1.1.1.1', [0, 1], -1]], ['RR', 'RR'], [2, -1], 'G_{3,3}']], 'ring_base': [2, -1], 'ring_geom': [2, -1], 'spl_facs_coeffs': [[[241], [-3689]], [[889], [-24013]]], 'spl_facs_condnorms': [15, 30], 'spl_facs_labels': ['15.a6', '30.a6'], 'spl_fod_coeffs': [0, 1], 'spl_fod_gen': [0], 'spl_fod_label': '1.1.1.1', 'st_group_base': 'G_{3,3}', 'st_group_geom': 'G_{3,3}'}
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g2c_ratpts • Show schema
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{'label': '450.a.36450.1', 'mw_gens': [[[[-1, 1], [-1, 1], [1, 1]], [[-1, 1], [-1, 1], [0, 1], [0, 1]]], [[[-3, 2], [-1, 1], [1, 1]], [[1, 1], [-5, 2], [0, 1], [0, 1]]]], 'mw_gens_v': True, 'mw_heights': [], 'mw_invs': [2, 12], 'num_rat_pts': 4, 'rat_pts': [[1, -1, 0], [1, 0, 0], [2, -5, 1], [2, -4, 1]], 'rat_pts_v': True}
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g2c_galrep • Show schema
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id: 45
{'conductor': 450, 'lmfdb_label': '450.a.36450.1', 'modell_image': '2.180.7', 'prime': 2}
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id: 46
{'conductor': 450, 'lmfdb_label': '450.a.36450.1', 'modell_image': '3.720.4', 'prime': 3}
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g2c_tamagawa • Show schema
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id: 97155
{'label': '450.a.36450.1', 'p': 2, 'tamagawa_number': 1}
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id: 97156
{'cluster_label': 'cc2_1c2_1c2_1_0', 'label': '450.a.36450.1', 'p': 3, 'tamagawa_number': 6}
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id: 97157
{'cluster_label': 'c2c2_1~2c2_1~2_0', 'label': '450.a.36450.1', 'p': 5, 'tamagawa_number': 1}
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g2c_plots • Show schema
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{'label': '450.a.36450.1', 'plot': 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QYUqHgd94Q9q%2B3W4tAOzZsGGDcnJylJqaKklq2bKlqlWrpuzs7LLX5OXladmyZWrTps1%2B3yc2NlaJiYkVDgDRr6rtAhBanTpJjRpJq1dL77wj9e9vuyIAobBlyxb9/PPPZfdXrVqlJUuWqE6dOqpTp47uu%2B8%2BXXDBBUpNTdXq1at1xx13qF69eur9v2EBr9ergQMH6uabb1bdunVVp04dDR8%2BXMcff7w6depk69cCYAkdQIeJiSnfGYRhYMA5vv76a5188sk6%2BeSTJUnDhg3TySefrHvuuUdVqlTR0qVLdd5556lp06a6/PLL1bRpU33xxRdKSEgoe48xY8aoV69e6tOnj9q2basaNWrogw8%2BUJUqVWz9WgAsYR1AB8rNlRo2NNvC/fij1KyZ7YoAOAXrAALOQAfQgY48UjrnHHP%2Bwgt2awEAAJGHAOhQV19tbl99VfrfMmAAAACSCICOdfbZUoMG0vr10n52hgIAAC5FAHSoqlXLJ4M895zdWgAAQGQhADrYVVeZWcEzZ0orVtiuBgAARAoCoIMddZTUrZs5f/55u7UAAIDIQQB0uGuuMbfjxjEZBAAAGARAhzvnHLMszIYN0rvv2q4GQLTy%2BXzKyMhQVlaW7VIAhAALQbvA/fdL994r/eMf0pw5tqsBEM1YCBpwBjqALjBwoFSlijR3rvT997arAQAAthEAXaBBA6lnT3P%2B7LN2awEAAPYRAF3i2mvN7WuvSVu22K0FAADYRQB0iU6dpGOPlQIB6c03bVcDAABsIgC6RExMeRfwmWckpv4AAOBeBEAXGTBAio2V/u//pC%2B/tF0NAACwhQDoInXrShdfbM59Pru1AAAAewiALjN4sLl96y1p3Tq7tQAAADsIgC6TlWWOnTulF1%2B0XQ0AALCBAOhCpV3AZ5%2BViovt1gIAAMKPAOhCffqY6wHXrJE%2B/NB2NQAAINwIgC4UFydddZU5f%2Bopu7UAiA4%2Bn08ZGRnKysqyXQqAEPAEg6wI50a//SYdfbRUUiItXy41b267IgDRIBAIyOv1yu/3KzEx0XY5AA4RHUCXathQ6tHDnI8da7cWAAAQXgRAFxsyxNy%2B%2Bqrk99utBQAAhA8B0MXOPFPKyJC2bpXGjbNdDQAACBcCoIt5POVdwLFjzfWAAADA%2BQiALte/v1SrlvTzz9K0abarAQAA4UAAdLn4eGngQHP%2B5JN2awEAAOFBAISuv16KiZGys82SMAAAwNkIgFCjRtJ555nz//7XaikAACAMCICQJN14o7l97TVpwwa7tQAAgMpFAIQkqX176aSTpO3bpRdesF0NAACoTARASDJLwgwdas7HjpWKiuzWAwAAKg8BEGUuvlhKTpZ%2B/116%2B23b1QCIJD6fTxkZGcrKyrJdCoAQ8ASDwaDtIhA5HnhAuuce6dRTpa%2B%2BMp1BACgVCATk9Xrl9/uVmJhouxwAh4gOICq49lopNlb6%2Bmtp3jzb1QAAgMpAAEQF9etLl11mzh9/3G4tAACgchAAsZebbjK3771ntogDAADOQgDEXpo3l845RwoGpSeesF0NAAAINQIg9unmm83tyy%2BzMDQAAE5DAMQ%2BdexYvjD0s8/argYAAIQSARD75PFIw4eb86eeknbssFsPAAAIHQIg9qtPHyk9XfrjD%2BmNN2xXAwAAQoUAiP2qVq18e7j//EcqKbFbDwAACA0CIP7SVVdJXq/044/SBx/YrgYAAIQCARB/KTHR7A4iSY8%2BarcWAPawFzDgLOwFjAPKy5MaNZJ27jTbw7Vta7siALawFzDgDHQAcUCpqVL//uZ89Gi7tQAAgMNHAMRBueUWszTM%2B%2B9Ly5fbrgYAABwOAiAOSrNmUq9e5pwuIAAA0Y0AiIN2%2B%2B3mdvx4ac0au7UAAIBDRwDEQTvtNLNF3K5d0uOP264GAAAcKgIg/pbSLuALL0jr19utBQAAHBoCIP6Wzp2lU06Rtm2T/vtf29UAAIBDQQDE3%2BLxSCNGmPOnnpICAbv1AG4xZ84c9ejRQ2lpafJ4PJo6dWqF54PBoO677z6lpaUpLi5OZ5xxhr7//vsKr9m4caP69%2B8vr9crr9er/v37a9OmTeH8NQBECAIg/rbevc2s4E2bpGeftV0N4A5bt27ViSeeqLFjx%2B7z%2BdGjR%2Bvxxx/X2LFjtWjRIqWkpKhz587avHlz2Wv69eunJUuWaPr06Zo%2BfbqWLFmi/qWLfAJwFXYCwSEZN0664gopOVlatUqKi7NdEeAeHo9HU6ZMUa//rc0UDAaVlpamoUOH6rbbbpMkFRYWKjk5WY888oiuueYa/fDDD8rIyNDChQvVqlUrSdLChQt1%2Bumn68cff1SzZs0O6rPZCQRwBjqAOCSXXio1bCj98Yf00ku2qwHcbdWqVcrPz1eXLl3KHouNjVWHDh20YMECSdIXX3whr9dbFv4kqXXr1vJ6vWWv2ZfCwkIFAoEKB4DoRwDEIalWTbr1VnM%2BerTZJxiAHfn5%2BZKk5OTkCo8nJyeXPZefn6%2BkpKS9fjYpKansNfsyatSosmsGvV6v0tPTQ1g5AFsIgDhkV15p9gnOyZFef912NQA8Hk%2BF%2B8FgsMJjez6/r9fsacSIEfL7/WVHTk5O6AoGYA0BEIfsiCOk4cPN%2BahRZoFoAOGXkpIiSXt18goKCsq6gikpKfrjjz/2%2Btl169bt1TncXWxsrBITEyscAKIfARCH5ZprpHr1pF9%2BkSZOtF0N4E6NGzdWSkqKsrOzyx7buXOnZs%2BerTZt2kiSTj/9dPn9fn311Vdlr/nyyy/l9/vLXgPAPQiAOCzx8dKwYeb8wQel4mK79QBOtWXLFi1ZskRLliyRZCZ%2BLFmyRGvWrJHH49HQoUP18MMPa8qUKVq2bJkGDBigGjVqqF%2B/fpKk5s2bq1u3bho0aJAWLlyohQsXatCgQerevftBzwAG4BwsA4PDFghIjRpJGzeaLmDfvrYrApxn1qxZ6tix416PX3755Ro3bpyCwaBGjhyp5557Ths3blSrVq3k8/mUmZlZ9to///xTN9xwg95//31JUs%2BePTV27FjVqlXroOtgGRjAGQiACIn775fuvVdq0UL67jspht4y4EgEQMAZ%2BDONkLjhBsnrlb7/Xpo82XY1AADgrxAAERK1akk33mjO779fKimxWw8AANg/AiBCZuhQKTFRWrpUmjLFdjUAAGB/CIAImdq1zVCwRBcQAIBIRgBESN10k5SQYCaC0AUEACAyEQARUnXqmKFgSRo5ki4gAACRiACIkLvppvJrAd9913Y1AELB5/MpIyNDWVlZtksBEAKsA4hKcd99pgOYkWGGg6tUsV0RgFBgHUDAGegAolIMHWqWhlm%2BXHrrLdvVAACA3REAUSlq1SrfI3jkSPYIBgAgkhAAUWluvNFMCvnpJ2n8eNvVAACAUgRAVJrEROnWW835yJFSUZHdegAAgEEARKW6/nopKUn69Vdp3Djb1QAAAIkAiEoWHy%2BNGGHOH3hAKiy0Ww8AACAAIgyuvVZq0EDKyZGef952NQAAgACISnfEEdJdd5nzhx6Stm61Ww8AAG5HAERYXHml1Lix9Mcf0tixtqsBAMDdCIAIi%2BrVze4gkvTII5Lfb7UcAABcjQCIsLn0Uql5c2njRuk//7FdDQAA7kUARNhUqWJmAkvSmDHSunV26wFw8Hw%2BnzIyMpSVlWW7FAAh4AkGg0HbRTjdhg3S/PlSjx6Sx2O7GruCQSkrS1q82OwXPGaM7YoA/B2BQEBer1d%2Bv1%2BJiYm2ywFwiOgAhsHjj0vnnSe1bClNmSKVlNiuyB6PR3r4YXP%2BzDNmaRgAABBeBMAwiIuTataU/u//pPPPl04%2BWXr7bfcGwc6dpQ4dzKLQI0fargYAAPdhCDhMNmwwncCnnpI2bzaPNW8u3Xmn1LevVLWq3frCbcECqW1bc13g8uVS06a2KwJwMBgCBpyBDmCY1K1rFkH%2B7Tfpnnskr1f64Qfpn/80QfDll6WdO21XGT5t2kjdu0vFxdLdd9uuBgAAd6EDaInfbxZEHjPGdAcl6aijpNtuk664wgwbO91330knnWQmhixeLJ1yiu2KABwIHUDAGegAWuL1muHf1aulRx%2BVUlKkNWukwYOlo482j5UOFTvVCSdIl1xizu%2B8024tAAC4CR3ACLF9uxkGHj3aBEFJql1buuEGacgQM4TsRD//bIbAd%2B2SZs%2BW2re3XRGAv0IHEHAGOoARIi7OdP9WrjRBsGlTs2PGyJFSw4bSsGFSbq7tKkPv2GOlgQPN%2BR13mOFgAABQuegARqjiYmnyZGnUKLN8jCRVqyb17y/deqvUrJnd%2BkLp999NENyxQ/roI%2Bmcc2xXBGB/6AACzkAHMEJVqSJddJGZHDFtmhkaLSoy3cHmzaULLpC%2B%2Bsp2laHRoIF0/fXm/M473bs%2BIgAA4UIAjHAej9Stm7k%2BbsECqWdPM0w6ebLUqpV0xhkmIEZ7H/f226WEBGnJEumdd2xXAwCAsxEAo8jpp0vvvSd9/710%2BeVm8ejZs82Q6QknSK%2B9Fr1rCdatK918szm/5x4zKQRA5PD5fMrIyFBWVpbtUgCEANcARrGcHOmJJ6Tnn5e2bDGPNWgg3XijdPXVZqmZaBIImCVwNmyQxo0zIRdAZOEaQMAZ6ABGsfR06T//MUFw1CizluDvv5tJIunppqNWuqRMNEhMNLVLZvZzUZHdegAAcCo6gA5SWCiNH29C4fLl5rHSySTDhknRMHKzdavpAhYUSC%2B8IF11le2KAOyODiDgDHQAHSQ2VrrySmnpUunjj6UzzzTLyUycKJ12mvSPf5jJI8XFtivdv/h4MyFEkh58MHqvaQQAIJIRAB0oJkY6%2B2zps8/MGoL9%2B5s1BOfNM8vHHHus9PjjZj/iSHTttWY4%2B7ffzMQWAAAQWgRAhzvpJBOiVq82O23UrWvOb75ZOvJIs83cihW2q6woLq78WsCHH2ZGMAAAocY1gC6zbZv0xhvSk0%2BWXycomY7hkCFS166mg2jbtm1mC7z166XXX5f%2B%2BU/bFQGQuAYQcIoI%2BFOPcKpRwywRs2yZlJ0tde9uFpueNs2sJ9ismVlaZtMm%2B3XedJM5Hz06%2Bhe6BgAgktABhH7%2BWfL5pFdeKb8usEYN6dJLpeuuM8PINmzcKB11lFnjcPp0050EYBcdQMAZ6ABCxx4rjRkj5eZKzzwjZWaaIdgXXpBOPllq08YMw%2B7YEd66ateWBg40508%2BGd7PBgDAyegAYi/BoDRnjvT002bZmNJJGHXqmN05rr5aOu648NTyyy8moJaeH310eD4XwL7RAQScgQ4g9uLxSB06SJMmmV1GHnjADMX%2B%2BafpFDZvLrVvb7qC27ZVbi3HHCN16WLOX3mlcj8LAAC3IADiL6WkSHfdJf36q/Thh1KPHmaW8Ny50mWXSWlp5jrBr7%2BuvIkaV1xhbidMYDIIYIvP51NGRoayomFLIQAHxBAw/rbcXNONe/lls6ZgqcxMM0R86aVSamroPm/rVqlePXMN4tKl5nMA2MEQMOAMdADxtx15pHT33eaavOxs6ZJLpCOOMEvL3HKLeb5rVzNEvHnz4X9efLwZkpakWbMO//0AAHA7AiAOWUyM1KmTGZrNy5OefdbMGC4pkWbMMEPESUnSRRdJ77xjOnmHqnTUaenS0NQOAICbEQARErVqSddcI82fL61cKd13n9S0qRm2fecdEwLr15fOP99sTbd%2B/d97/6Qkc7txY8hLBwDAdQiACLljj5XuvVf68Udp8WKzr2/jxtL27dKUKeY6waQk6fTTzevmzDnwGoM//GBu69ev/PoBAHA6JoEgLIJBackSEwDff1/69tuKz1evLp14oll4ulkzcx1hfLzZmWT2bLModTBohpY7d7bzOwBgEgjgFARAWJGba7Z3%2B/RTE/Dy8w/8MzfcwI4ggG0EQMAZCICwLhg06wx%2B/bX03Xdmb%2BL8fLPIdHy82XXk4oulM86wXSkAAiDgDARAAHCI%2B%2B67TyNHjqzwWHJysvL/12IPBoMaOXKknn/%2BeW3cuFGtWrWSz%2BdTixYtDvozCICAMzAJBAAcpEWLFsrLyys7lu62dtLo0aP1%2BOOPa%2BzYsVq0aJFSUlLUuXNnbQ7Fgp0AogoBEAAcpGrVqkpJSSk76v9v6nwwGNQTTzyhO%2B%2B8U%2Beff74yMzP16quvatu2bZowYYLlqgGEGwEQABxk5cqVSktLU%2BPGjXXxxRfr119/lSStWrVK%2Bfn56tKlS9lrY2M2wxdKAAAefklEQVRj1aFDBy1YsGC/71dYWKhAIFDhABD9CIAA4BCtWrXSa6%2B9pk8%2B%2BUQvvPCC8vPz1aZNG23YsKHsOsDk5OQKP7P7NYL7MmrUKHm93rIjPT29Un8HAOHBJBAAcKitW7fqmGOO0a233qrWrVurbdu2Wrt2rVJTU8teM2jQIOXk5Gj69On7fI/CwkIVFhaW3Q8EAkpPT2cSCBDl6AACgEPFx8fr%2BOOP18qVK5WSkiJJe3X7CgoK9uoK7i42NlaJiYkVDgDRjwAIAA5VWFioH374QampqWrcuLFSUlKUnZ1d9vzOnTs1e/ZstWnTxmKVAGyoarsAAEBoDB8%2BXD169NBRRx2lgoICPfjggwoEArr88svl8Xg0dOhQPfzww2rSpImaNGmihx9%2BWDVq1FC/fv1slw4gzAiAAOAQubm5uuSSS7R%2B/XrVr19frVu31sKFC9WwYUNJ0q233qrt27fruuuuK1sIesaMGUpISLBcOYBwYxIIAOCgsRMI4AxcAwgAAOAyBEAAAACXIQACAAC4DAEQAADAZQiAAAAALkMABAAAcBkCIADggHw%2BnzIyMpSVlWW7FAAhwDqAAICDxjqAgDPQAQQAAHAZAiAAAIDLEAABAABchgAIAADgMgRAAAAAlyEAAgAAuAwBEAAAwGUIgAAAAC5DAAQAAHAZAiAAAIDLEAABAABcpqrtAgC3WLtWeuwx6bPPpDVrpKIiqUYNqX596aijpCZNpIwM6YQTpBNPlOLjbVcMlPP5fPL5fCouLrZdCoAQ8ASDwaDtIgCny8uTTjlFys8/uNfHxJgw2KqV1KaN1Lat1LSp5PFUbp3AgQQCAXm9Xvn9fiUmJtouB8AhogMIhMGLL5rwd9xx0kMPSc2bS7Gx0tat5vHVq6UVK6Rly6RvvzWBcdkyc7z0knmP%2BvWl9u2lM84wR4sWBEIAwKEhAAJhUFBgbnv1ks4/v%2BJzxx%2B/9%2Bvz8qSvvpIWLpTmzzfn69ZJ775rDklKSpI6dpTOOkvq1Elq3LhyfwcAgHMwBAyEwXPPSddea4aBv/7673fuCgulRYuk2bOlWbNMKNy%2BveJrjj5a6tzZHGeeKdWuHbLygTIMAQPOQAAEwmDdOjPRY8cOado0qVu3w3u/nTtNd/Czz8zx5ZfSrl3lz8fESKedJnXpYo5WraSq9PsRAgRAwBkIgECY3Hyz9Pjj0rHHmuv8atQI3Xtv3mw6g59%2BKs2YIf34Y8XnvV4zVNy1qzkaNgzdZ8NdCICAMxAAgTDx%2B83Ejd9/l665Rnr22cr7rJwcEwRnzDCh8M8/Kz7frJkJgt26SR06hDaMwtkIgIAzEACBMMrONkOykvTqq9Jll1X%2BZxYXS4sXS598Yo6FC81jpWJjzezi0u4gs4vxVwiAgDMQAIEwu/de6f77perVzfV77dqF9/M3bTKfWxoI16yp%2BHyDBuVhsFMnqU6d8NaHyEYABJyBAAiEWUmJdOGF0pQpJlzNnWsWfbYhGDTXC5aGwVmzzESVUjExUlZWeSA87TQmk7gdARBwBgIgYMG2bWapli%2B/NB23OXPMMi62bd9uAmlpIPz%2B%2B4rPe72mK1g6u7hRIytlwiICIOAMBEDAkg0bzLV3y5ebWbmzZkVeoMrNNRNJpk83k0k2bqz4fNOm5WHwjDOkhAQrZSKMCICAMxAAAYvy8kxwWrHCrBP42WdmmZhIVFxsFrH%2B5BMTCvecTFK1qtm3uEsXsxh1y5ZSlSr26kVo%2BXw%2B%2BXw%2BFRcXa8WKFQRAIMoRAAHL1q41w8E//SSlpJhwta/t4SKN3y99/nn5cjO//lrx%2Bdq1ze/VpYsZNo6EIW4cPjqAgDMQAIEI8McfJih9951Uq5b0/vvSP/5hu6q/55dfzDI3M2aYYOj3V3z%2B6KNNEOzc2exhXLeunTpxeAiAgDMQAIEIsXGj1KOH2ec3NlZ67TWpTx/bVR2aXbvM3sXZ2eZYuLDiVnUej9kX%2BayzTChs25bFqKMFARBwBgIgEEG2bZMuvVSaOtXcf%2BghacSI6F%2BYefNmafZsM5EkO9tMfNld9erm%2BsGzzjLHqadK1arZqRV/jQAIOAMBEIgwxcVm3%2BAnnzT3%2B/WTXnxRiouzW1co5eWZCS%2Bffmpuc3MrPp%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%2B0XVnk2bnTXEM4Z44JhPPnm3UJd3fEEVLr1iYM/uMf0umnSzVr2qk30hEAAWcgAAJRbPFi6fLLpe%2B/N/d795aeekpq0MBuXZFs1y4zy3jOHDPDeO5cM8t6d1WqSCedZMJgu3bmSE62U2%2Bk8Pl88vl8Ki4u1ooVKwiAQJQjAAJRrrBQevBB6d//NuEmIcHsIHLddVzndjCCQenHH8vD4Ny50m%2B/7f26Jk3Kw2C7dua%2BG6%2B9pAMIOAMBEHCI774zE0S%2B/NLcP%2BkkMyzcpo3duqJRTo40b54Jg/PmScuWmaC4u/r1y8Ng27bSySe74zpCAiDgDARAwEGKi6XnnzdrBW7aZB679FJp1CgpPd1ubdFs40ZpwQITBufNkxYt2numcVyc1KpVeSBs08bM1HYaAiDgDARAwIHWrZNGjJBeftl0ruLipGHDpFtvdWYoCbfCQjOxZP58Ewjnz997%2B7qYGLPcTGmX8B//kNLS7NQbSgRAwBkIgICDLV5sFpCeO9fcr1dPuvNO6dprzcxXhEZJibmOcP788mHjVav2ft3RR5sgWLoe4THHRN91hARAwBkIgIDDBYPS1KmmI/jTT%2BaxI480QfDKK91x3ZoNa9eWDxnPnWuu0Swpqfia3bew69gxOiaWEAABZyAAAi6xa5f0yitm7cDcXPNYerp0220mCMbF2a3P6fx%2Bcx3h3LlmCZpFi8wahbtLS5POOsscnTtH5pAxARBwBgIg4DI7dkgvvGAmhuTlmceSkqShQ83QcO3adutzi%2B3bzYzt0i3svvhi70B4/PHSOedI3bubxakjYVkfAiDgDARAwKV27JBeekl69NHyde/i46UrrpBuuMEMRyJ8tm83HcLPPpOys831m7v/27l%2BfemCC8ys7rZt7Q0VEwABZyAAAi5XVCRNnCg99pi5Tq1Ut25mMelzzomMzpPbrF9vguCHH0rTppmlaEodd5yZ1T1ggFStWnjrIgACzkAABCDJdJs%2B%2B0x64gnp44/Lu09HHmmuEbziCqlRI6slulZRkTRzpvTmm9Lbb0tbt5rHMzOld9%2BVmjYNXy0EQMAZCICHIRgMavOeu8oDDvDrr2YNwTfeqNh5atdOuuQSqUcPyeu1V5%2BbBQLS66%2Bbju2ff5pQ/vXXldcJLCwsVOFuq15v3rxZGRkZysnJIQAi6iUkJMgT6VPvKwkB8DCU/pcwAACIPm7uZBMAD8PhdgCzsrK0aNGiEFZkBAIBpaenV%2Bp/oVdW7dH63m74znNypEmTzLFiRfnj1atLZ54pnXuu1LWrlJz899/7UFX29277O99TMCh984306qvShAlmaLhFC7O0zJ7XaYaq9j07gHl5eTrttNO0fPlyNWjQ4LDff0%2BV%2BZ1X9vuH/L2nTpVGjjQteUnBmjXlufxy81gIW75u/s7d3AGsaruAaObxeA7rj06VKlUq9b88EhMTK%2B39K7P2aH1vydnfeYsWZg3BkSPNZJFJk8z1aD//LE2fbg5JatlSOvtsqUsXszduZX/nUuV977a/c0nassUEvE8%2BkT74oCwLSDITdV55Zd9L91T2956QkBB133llv/%2Be7/3559JDD5nb%2BvXNJRStWknHHmuu22zS5C925Hn3XTPLZ/cezZYtks9nZghNnFhpdYdaJPz/CHsjAFo0ePBg2yUcssqsPVrfu7JFyvfi8UgnnmiOhx6Sli0zjYr33zfXoi1ebI4HHzTLyjRsOE2PPGK2QGvZUoqNrbRfI%2BTC/Z0HgybgLVpk1gicP990/IqLy18TFyf16iX961/mO/077x8NKrvucP5v%2BtprJvxJZn/uKVPMsS/Dh5vZ3QkJUrNmUsawW1VtfwN0kyZJd9xhNpuuhLpDrTLePxg0S1n17z9cP/8sbd5sro/1%2B6XmzVnG6mAwBOxAzNILP75zIz/fdAI/%2BUT69FPTqNhdbKwJga1bS1lZ5vyYY6SYmEP7vGj%2B3gMB6YcfTIBeulT69ltpyRJp06a9X9uokdSpk%2Bmsdu1qgrUtubm5ZcPuRx55pL1CokBenplVP3r03/u55lqu5Wrxl6%2BZeuzNerf1Y4qPl2rUKD/i4kxXsfSIjTVH9erlR7Vq5qha1RxVqpQfMTHlh8dTvt6kx2NC1%2B5HSYk5iosrHrt2maOoqPzYubP8KCwsP3bsKD%2B2by8/tm0rP7ZuLT%2B2bCk/9txasdRjj0k33/z3vnM3ogPoQLGxsbr33nsVG02tlijHd26kpJhRqwEDzL%2Bcly41y5fMmWP2xF23zix2vGBB%2Bc8kJJhGxgknmGHmjAzTCUlJOfBix5H%2BvW/ZIq1aZbp6v/wirVxprp/86Sfp99/3/TPVq5vvolUrs/tHu3ZSw4bhrfuvlH7XkfqdR5LUVOmRR8whmVC0dq3ZinHtWjPL/tNPzeNnnWX%2Bv7J9u3SUfjvgeyf8/I3e%2BLmSf4EoUbOm%2BfdIYqI56tWzXVF0oAMIICyCQROAFi6UvvrKDHN%2B%2B63pAuxLzZrmWqljjjEdsIYNzZqERx5p/rAmJ4d/EeRSRUWmu1lQYLqe%2BfnmD/rvv5s/7mvWmGPDhr9%2Bn9RUE3ozM82Q%2BkknmQBcvXp4fo9DEc1d12iwfr20/IX5an9Hu7983azavZX9r8mqXr1it2z79opdtdJOW2n3bfeuXGmnbs8OXklJeZdvX0o7g7t3C0s7iKVdxapVy7uMpV3H3TuRpZ3J3buVcXHlx%2B5dzfj48qNmzfIjIcE8dqgjCG5HAARgTVGR9OOPZlLJ0qXS99%2BbYdFVq/Y/vLO7OnXMf%2B3XrWsmQtSqZToApX8YSofDSv/olP6RKh3OKikp/yO4c2f5H81t28qHmUqvK9q40RwbNpj7B6t2benoo02QLb34v1kz0%2BWsVevQvztbCIBhUFBgWuB/8ef5X/LpxarXqVMnqW9fqXdv1ubE30MABBBxCgvLh01//VVavdp01HJyTJftjz9MaLMpJsaEz%2BRk87c6LU1q0MAcRx1ljoYNnfdHmQAYJhddJL3zzj6fKqxWQx2OzdOXP5R//7GxUs%2Be0mWXmdnhVbnACwdAAAQQdUpKTCeuoMAMmW3YYLpzfr/p2G3eXD4ktmNH%2BdDXrl0VO4ulQ1fVqpUPS5UOP5UONyUmmhBXq5bp5tWta4Jf7dru3COZABgm%2BflShw4VF92UzD%2Bsb78tnXeefvpJeusts0XgDz%2BUvyQlRbr8cmnQINN5BvaFAAgAOGgEwDAKBMyejG%2B/bS7ua9NGuv56c/3AboJBM4P8tdek8ePNZKtSXbpIgwebhdrd%2BB8s2D8unXSoH374QT179pTX61VCQoJat26tNWvW2C7LFa655hp5PB498cQTtktxtKKiIt122206/vjjFR8fr7S0NF122WVau3at7dKAkBjl8ylr/HglfPedknJz1Ss3Vz/tY2q8xyOdfLI0ZoyZhPTuu2YY2OORZsyQzjvPrIs3ZozJlIBEAHSkX375Re3atdNxxx2nWbNm6dtvv9Xdd9%2BtI/a75DxCZerUqfryyy%2BVlpZmuxTH27Ztm7755hvdfffd%2BuabbzR58mStWLFCPXv2tF0aEBKzZ8/W4MGDtXDhQmVnZ2vXrl3q0qWLtm7dut%2BfqV5dOv98ado0cw3tLbeYyVKrVknDhknp6dJtt5k1CuFuDAE70MUXX6xq1arp9ddft12Kq/z%2B%2B%2B9q1aqVPvnkE5177rkaOnSohg4darssV1m0aJFOO%2B00/fbbbzrqqKNsl%2BMoPp9PPp9PxcXFWrFiBUPAFqxbt05JSUmaPXu22rdvf9A/t22bWXNwzBgz614yQfHKK00YbNSocupFZKMD6DAlJSX66KOP1LRpU3Xt2lVJSUlq1aqVpk6dars0RyspKVH//v11yy23qEWLv17BH5XH7/fL4/GoVjSurxLhBg8erOXLl2vRokW2S3Et///WH6pTp87f%2BrkaNaSrrzbLLL3/vtS2rZkY9eyzZmh40CDptwOvPQ2HIQA6TEFBgbZs2aJ///vf6tatm2bMmKHevXvr/PPP1%2BzZs22X51iPPPKIqlatqhtuuMF2Ka61Y8cO3X777erXrx%2BdKThOMBjUsGHD1K5dO2VmZh7Se8TESD16mF15Zs822wvu2iW9%2BKIJgtdfbyYfwx0IgFFu/PjxqlmzZtnx008/SZLOO%2B883XTTTTrppJN0%2B%2B23q3v37nr22WctV%2BsMe37ns2fP1pNPPqlx48bJc6C9y3DI9vze586dW/ZcUVGRLr74YpWUlOjpp5%2B2WCVQOa6//np99913evPNN0Pyfu3bS9nZJgyeeaZZJsnnM8vG3HOPWUoJzsY1gFFu8%2BbN%2BuOPP8ru169fX/Xq1dO9996ru%2B66q%2Bzx2267TfPmzdP8%2BfNtlOkoe37nb7/9tu68807F7LYfUXFxsWJiYpSenq7Vq1dbqNJ59vzeGzRooLi4OBUVFalPnz769ddf9fnnn6tu3boWq3Q%2BloEJvyFDhmjq1KmaM2eOGjduXCmfMXOmNGKE9OWX5n5ysvTAA%2BY6QZaPcSYCoAO1adNGxxxzTIVJIL1791ZcXJwmTJhgsTJn2rBhg/L2mFLXtWtX9e/fX1dccYWaNWtmqTLnKw1/K1eu1MyZM1W/fn3bJTkeATB8gsGghgwZoilTpmjWrFlq0qRJJX%2BeNHmydPvt0s8/m8dOPFH6739NxxDOwmYxDnTLLbeob9%2B%2Bat%2B%2BvTp27Kjp06frgw8%2B0KxZs2yX5kh169bdq%2BtUrVo1paSkEP4q0a5du3ThhRfqm2%2B%2B0Ycffqji4mLl/%2B8Cpjp16qh69eqWKwQOz%2BDBgzVhwgS99957SkhIKPvn2%2Bv1Ki4uLuSf5/FIF1xgrhN8%2Bmlp5Ejp22/NhiT9%2BkmPPSalpob8Y2EJHUCHevnllzVq1Cjl5uaqWbNmGjlypM477zzbZblGo0aNWAamkq1evXq/w2EzZ87UGWecEd6CXIIOYPjs75riV155RQMGDKj0z1%2B/XrrrLun55013MCFBeugh6brrGBZ2AgIgAOCgEQDdZ/FiE/q%2B%2Bsrcz8oyM4dPOMFuXTg8zAIGAAD71bKltGCBGRZOTJQWLTKP3X23VFhouzocKgIgAAD4S1WqSP/6l/TDD1Lv3mb9wAcflE491XQIEX0IgAAA4KCkpZmZwm%2B/LdWvLy1bJrVqJd1/vwmFiB4EQAAA8LdceKG0fLl00UVScbF0771mi7mVK21XhoNFAAQAHJDP51NGRoaysrJsl4IIUa%2BeNGmSNH68VKuWmSRy8snSuHFm1jAiG7OAAQAHjVnA2JecHOmyy6TS5Wb79ZOeecZMGkFkogMIAAAOS3q69OmnZp3AKlWkCRPMBJFvv7VdGfaHAAgAAA5blSrSHXdIc%2BaYQLhypdS6tfTSS7Yrw74QAAEAQMi0aSP93/9J554r7dghXXWVOXbssF0ZdkcABAAAIVW3rvT%2B%2B2atwJgY0wVs317KzbVdGUoRAAEAQMjFxEh33ilNny7VqVO%2Bg8j8%2BbYrg0QABAAAlahzZ%2Bnrr83ewQUFUseO0iuv2K4KBEAAAFCpGjc2%2BwlfcIFUVCRdeaV0661SSYntytyLAAgAACpdfLz01lvSPfeY%2B48%2BanYU2bbNbl1uRQAEAABhERMjjRxpdg%2BpXl2aMsUMCRcU2K7MfQiAAAAgrPr1kz77zEwO%2Beor6fTT2Uc43AiAAAAg7Nq1k774Qjr6aOnXX836gYsW2a7KPQiAAIAD8vl8ysjIUFZWlu1S4CBNm5rJIS1bSuvXm%2BHg7GzbVbmDJxgMBm0XAQCIDoFAQF6vV36/X4mJibbLgUNs3iydf77ZT7haNbOX8IUX2q7K2egAAgAAqxISpA8/lC66yCwT07ev9PLLtqtyNgIgAACwLjZWevNNadAgsz7gwIHSU0/Zrsq5CIAAACAiVKkiPfecNGyYuX/DDWa9QIQeARAAAEQMj0d67DHprrvM/VtvlR5%2B2G5NTkQABAAAEcXjkR54QHrwQXP/zjvLzxEaBEAAABCR7rxTGjXKnN99t/TQQ3brcRICIAAAiFi33y79%2B9/m/K67pNGj7dbjFARAAAAQ0W67rbz7d9tt0n//a7ceJyAAAgCAiHfHHdI995jzG2%2BUXnzRbj3RjgAIAACiwn33ScOHm/Orr5YmTrRaTlQjAAIAgKjg8ZhrAK%2B9VgoGpf79pY8/tl1VdCIAAgAOyOfzKSMjQ1lZWbZLgct5PJLPJ/XrJ%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%2BlpaUpMzNTCxYssFEuAIvoAAKAA5x99tm66KKL1LBhQ61atUp33323zjzzTC1evFixsbHKz89X9erVVbt27Qo/l5ycrPz8/P2%2Bb2FhoQp3W1QtEAhU2u8AIHzoAAJAlBk/frxq1qxZdsydO1d9%2B/bVueeeq8zMTPXo0UPTpk3TihUr9NFHH/3lewWDQXk8nv0%2BP2rUKHm93rIjPT091L8OAAsIgAAQZXr27KklS5aUHaeeeuper0lNTVXDhg21cuVKSVJKSop27typjXvsk1VQUKDk5OT9ftaIESPk9/vLjhw2WwUcgSFgAIgyCQkJSkhI%2BMvXbNiwQTk5OUpNTZUktWzZUtWqVVN2drb69OkjScrLy9OyZcs0evTo/b5PbGysYmNjQ1c8gIhAAASAKLdlyxbdd999uuCCC5SamqrVq1frjjvuUL169dS7d29Jktfr1cCBA3XzzTerbt26qlOnjoYPH67jjz%2B%2BbFYwAPcgAAJAlKtSpYqWLl2q1157TZs2bVJqaqo6duyoSZMmVegUjhkzRlWrVlWfPn20fft2nXXWWRo3bpyqsG8W4DqeYDAYtF0EACA6BAIBeb1e%2Bf1%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'}