Embedded newform data - 450.2.e.k.151.1

Formats: - HTML - YAML - JSON - 2025-05-17T04:12:09.976929

• mf_newforms •

  Column	Type
  Nk2	integer
  analytic_conductor	double precision
  analytic_rank	smallint
  analytic_rank_proved	boolean
  artin_degree	integer
  artin_field	numeric[]
  artin_field_label	text
  artin_image	text
  atkin_lehner_eigenvals	integer[]
  atkin_lehner_string	text
  char_conductor	integer
  char_degree	integer
  char_is_minimal	boolean
  char_is_real	boolean
  char_orbit_index	smallint
  char_orbit_label	text
  char_order	integer
  char_parity	smallint
  char_values	jsonb
  cm_discs	integer[]
  conrey_index	integer
  dim	integer
  embedded_related_objects	text[]
  field_disc	numeric
  field_disc_factorization	numeric[]
  field_poly	numeric[]
  field_poly_is_cyclotomic	boolean
  field_poly_is_real_cyclotomic	boolean
  field_poly_root_of_unity	integer
  fricke_eigenval	smallint
  has_non_self_twist	smallint
  hecke_cutters	jsonb
  hecke_orbit	integer
  hecke_orbit_code	bigint
  hecke_ring_generator_nbound	integer
  hecke_ring_index	numeric
  hecke_ring_index_factorization	numeric[]
  hecke_ring_index_proved	boolean
  inner_twist_count	integer
  inner_twists	integer[]
  is_cm	boolean
  is_largest	boolean
  is_maximal	boolean
  is_polredabs	boolean
  is_rm	boolean
  is_self_dual	boolean
  is_self_twist	boolean
  is_twist_minimal	boolean
  label	text
  level	integer
  level_is_powerful	boolean
  level_is_prime	boolean
  level_is_prime_power	boolean
  level_is_prime_square	boolean
  level_is_square	boolean
  level_is_squarefree	boolean
  level_primes	integer[]
  level_radical	integer
  minimal_twist	text
  nf_label	text
  prim_orbit_index	smallint
  projective_field	numeric[]
  projective_field_label	text
  projective_image	text
  projective_image_type	text
  qexp_display	text
  related_objects	text[]
  relative_dim	integer
  rm_discs	integer[]
  sato_tate_group	text
  self_twist_discs	integer[]
  self_twist_type	smallint
  space_label	text
  trace_display	numeric[]
  trace_hash	bigint
  trace_moments	numeric[]
  trace_zratio	numeric
  traces	numeric[]
  weight	smallint
  weight_parity	smallint

  
  {'Nk2': 1800, 'analytic_conductor': 3.593268090957617, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [450, 3, [101, 127], [2, 3]], 'cm_discs': [], 'conrey_index': 151, 'dim': 4, 'field_disc': 576, 'field_disc_factorization': [[2, 6], [3, 2]], 'field_poly': [4, 0, -2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [4, 8, 18, -4, 1]], [11, [25, 10, 9, -2, 1]], [17, [-23, -2, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45036271185166786, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '450.2.e.k', 'level': 450, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '90.2.i.b', 'nf_label': '4.0.576.1', 'prim_orbit_index': 3, 'qexp_display': 'q-\\beta _{2}q^{2}+(-\\beta _{1}+\\beta _{2}+\\beta _{3})q^{3}+(-1+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '450.2.e', 'trace_display': [-2, 2, 0, 4], 'trace_hash': 70864368563729515, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.856', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '58.980', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1533.658', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.019', 'prec': 17}, 'traces': [4, -2, 2, -2, 0, 2, 4, 4, 2, 0, 2, -4, 0, 4, 0, -2, 4, -4, -12, 0, -16, 2, 4, 2, 0, 0, 20, -8, 12, 0, -8, -2, 10, -2, 0, 2, -32, 6, 0, 0, 2, 8, 10, -4, 0, -8, -4, 2, -6, 0, 26, 0, -24, -10, 0, 4, -18, 12, -2, 0, -4, 16, 8, 4, 0, 4, 14, -2, 8, 0, 0, 2, -20, 16, 0, 6, 8, -12, 0, 0, 14, -4, -8, 8, 0, 10, -12, 2, 32, 0, -24, 4, -16, -4, 0, -4, 26, 12, 4, 0, 16, -22, -4, 0, 0, 12, -36, -10, -32, 0, -16, 4, 0, 6, 0, -24, 24, 4, -20, 0, 8, -4, 4, -8, 0, -28, -8, -2, -22, 0, 0, -14, 0, -28, 0, 4, 6, -28, -2, 0, -8, 0, 24, -4, 0, 10, -12, 16, -8, 0, 4, -12, 50, -16, 0, 12, 32, 0, 0, 0, -32, 14, -16, 2, 0, -8, -24, -16, 14, 0, -30, -20, -4, 24, 0, 2, -4, -16, 16, 0, 32, 12, -8, 4, 0, -4, 26, 8, 32, 0, -12, 2, -2, 26, 0, -6, 32, 22, 72, 0, 28, 16, -24, -4, 0, 8, 44, 0, -18, 0, 12, 12, -12, 18, 0, 20, -56, 16, -58, 0, 24, -16, 28, -8, 0, 0, -2, 12, 32, 0, 16, 12, -4, -24, 0, -2, -36, -20, -28, 0, -2, -16, 2, 8, 0, -2, -12, -8, 8, 0, 36, 20, 56, 4, 0, -2, 30, 20, -32, 0, 24, 0, -20, 10, 0, 0, -8, 14, -24, 0, 16, -2, 12, 6, 0, 20, -20, 4, 32, 0, -24, -8, 8, 0, 0, -12, 8, 2, 32, 0, -26, 10, 36, -42, 0, -32, -2, 16, -24, 0, -32, 4, -16, 6, 0, -4, -12, 8, -8, 0, -36, 0, -14, -64, 0, 0, -8, -24, -12, 0, -54, 16, -60, -28, 0, 8, -16, 2, -4, 0, -8, 16, -16, 48, 0, 8, -2, 14, 0, 0, 8, 12, -64, 10, 0, -4, -6, -12, 16, 0, 12, -4, 26, 62, 0, -16, 56, -8, 24, 0, -16, -16, 16, 12, 0, -8, 16, -8, -2, 0, -36, 20, 12, 26, 0, -4, 0, 8, -52, 0, -28, -12, -16, 2, 0, 4, 20, -52, -40, 0, 52, -6, 0, -16, 0, -26, -32, -36, 12, 0, -38, -2, -12, -32, 0, 48, -16, 26, -22, 0, -6, -4, 112, -52, 0, 0, -4, -18, 8, 0, 28, -24, -8, -24, 0, 12, -4, 18, 24, 0, 104, -10, -92, 28, 0, 16, -36, 38, 0, 0, 102, -48, 18, 32, 0, 28, -16, 4, 36, 0, 4, 0, -28, -2, 0, -18, -26, -64, 20, 0, 0, 4, 48, 12, 0, 2, 12, 0, 80, 0, 64, -2, 2, 0, 0, 40, 12, 56, -4, 0, 0, -2, 8, 8, 0, -4, 120, -4, -32, 0, -42, -2, 12, 24, 0, 16, 12, -16, 18, 0, -48, -18, -48, 8, 0, -28, -14, 4, -24, 0, 28, 4, -60, -60, 0, 2, 16, -32, -44, 0, 28, -12, 80, 0, 0, -20, 16, 4, -10, 0, -118, 0, 0, 40, 0, 14, -16, 12, 84, 0, -80, -8, 4, -2, 0, -36, 10, -12, -8, 0, -36, 8, -36, -20, 0, -2, 48, -16, -24, 0, 10, -24, 38, 16, 0, -16, -76, 0, 14, 0, -50, -12, -48, -4, 0, 2, 4, -16, -4, 0, 16, 52, 0, -20, 0, -72, 6, 54, 12, 0, 16, 16, -48, 22, 0, -8, 24, -24, -48, 0, -58, 64, -38, -8, 0, 32, -16, 6, -48, 0, -24, -46, 40, 6, 0, 8, 46, 64, 62, 0, 44, 72, 56, -12, 0, -14, -30, 32, -32, 0, -16, 0, 24, -8, 0, 24, -48, 24, -24, 0, 74, 18, 6, 16, 0, 30, -120, 14, -124, 0, 44, 8, -68, -16, 0, -4, -106, 8, 52, 0, 8, -8, 48, -8, 0, 32, 48, -24, -52, 0, 16, 8, -48, 4, 0, -28, 40, 24, -52, 0, -10, -4, 172, 18, 0, 32, 64, 10, 12, 0, 4, 8, -32, 12, 0, -12, 2, 16, 70, 0, -40, 0, 96, 2, 0, 26, -32, -58, -60, 0, 0, 32, -8, -40, 0, -8, -56, -12, 128, 0, 104, 8, 2, -16, 0, 16, -36, -24, 92, 0, -14, 16, 8, 16, 0, 4, 4, -2, -20, 0, -24, -36, -36, -16, 0, -24, -16, -52, 0, 0, 8, -4, 6, 0, 0, -40, 40, 26, 76, 0, 48, 20, -32, 24, 0, 32, 60, -4, 0, 0, 60, -2, -24, -34, 0, 26, 128, -40, -6, 0, -12, -104, 60, 12, 0, 24, -44, -16, 8, 0, 48, 4, -24, 16, 0, -36, -32, 0, -28, 0, -32, 76, -58, -26, 0, -12, 96, 16, 12, 0, -20, -24, -88, -16, 0, -22, -18, 44, 36, 0, 40, 12, -24, -4, 0, -56, 16, 8, -96, 0, -76, 0, 90, 62, 0, 36, -28, -16, -56, 0, -14, 28, 24, 12, 0, -20, 80, 12, 16, 0, -32, 0, -16, 8, 0, -36, -48, 0, 2, 0, -8, -52, -96, -10, 0, 46, 64, 28, 36, 0, 12, -32, 52, 72, 0, 20, -76, 0, 72, 0, -120, -90, 36, 24, 0, 18, 24, -16, 16, 0, 34, -56, 24, -52, 0, 4, 0, -18, -96, 0, 24, -2, -64, 0, 0, 8, -6, 4, 32, 0, -24, 6, 8, -26, 0, 32, 48, 14, 24, 0, -138, 0, -12, -20, 0, -96, -116, -24, 72, 0, -30, 2, -72, -6, 0, 24, 80, -40, -58, 0, 80, -32, -4, 4, 0, -4, -18, 36, -48, 0, 140, -20, 164, 24, 0, -28, -24, -4, -12, 0, 18, 0, -90, 4, 0, -40, -28, 8, -114, 0, 24, 2, 112, -60, 0, -4, 66, 16, -8, 0, -16, 84, -16, 4, 0, 12, -8, -12, -8, 0, 16, -8, 152, 12, 0, 8, -12, -36, -160, 0], 'weight': 2, 'weight_parity': 1}
• mf_hecke_cc •

  Column	Type
  an_normalized	double precision[]
  angles	double precision[]
  char_orbit_index	smallint
  conrey_index	integer
  dual_conrey_index	integer
  dual_embedding_index	integer
  dual_embedding_m	integer
  embedding_index	integer
  embedding_m	integer
  embedding_root_imag	double precision
  embedding_root_real	double precision
  hecke_orbit	integer
  hecke_orbit_code	bigint
  label	text
  level	integer
  weight	smallint

  
  {'an_normalized': [[1.0, 0.0], [-0.3535533905932738, 0.6123724356957945], [-0.41843164659173465, -0.908248290463863], [-0.25, -0.4330127018922193], [0.0, 0.0], [0.7041241452319315, 0.06487825599846088], [0.8408745228955029, -1.4564373964452504], [0.3535533905932738, 0.0], [-0.6498299142610594, 0.7600796553858445], [0.0, 0.0], [-0.21851880064911638, 0.3784856651332845], [-0.28867513459481287, 0.408248290463863], [-0.3396831102433787, -0.5883484054145521], [0.5945880772664129, 1.0298567594001167], [0.0, 0.0], [-0.125, 0.21650635094610965], [-0.9456414265356762, 0.0], [-0.23570226039551584, -0.6666666666666666], [-0.12629571466266892, 0.0], [0.0, 0.0], [-1.6746552866812427, -0.1543033499620919], [-0.15451612575574153, -0.26762978039764634], [-0.3022395043981744, -0.5234941776720752], [-0.14793792738403425, -0.3211142625940433], [0.0, 0.0], [0.4803844614152614, 0.0], [0.9622504486493763, 0.2721655269759087], [-0.8408745228955029, 0.0], [0.5570860145311556, -0.9649012813540153], [0.0, 0.0], [-0.5791812765855797, -1.0031713978388266], [-0.08838834764831845, -0.15309310892394862], [0.4351941398892446, 0.0400989470506855], [0.3343347326371485, -0.5790847436624977], [0.0, 0.0], [0.49158162379719633, 0.0913646930981094], [-1.3151918984428583, 0.0], [0.04465227813638724, -0.07734001440591963], [-0.3922322702763681, 0.5547001962252291], [0.0, 0.0], [0.07808688094430304, 0.13525044520011484], [0.6865711729334111, -0.9709582642968335], [0.5680182677409188, -0.9838364993545331], [0.21851880064911638, 0.0], [0.0, 0.0], [0.42743120620482095, 0.0], [0.03278240875472954, -0.05678079755768234], [0.2489454789453401, 0.022937927384034246], [-0.9141399265094795, -1.5833367979416981], [0.0, 0.0], [0.3956862991906799, 0.8588772090428366], [-0.16984155512168936, 0.29417420270727607], [-1.1606266761473607, 0.0], [-0.5068735753865525, 0.49303060612385197], [0.0, 0.0], [0.29729403863320647, -0.5149283797000583], [0.05284612384378044, 0.11470786693528089], [0.3939192985791677, 0.6822882392210131], [0.7321465496886889, 1.2681150226470608], [0.0, 0.0], [0.028775632113899035, -0.049840856841183744], [0.8190860164198895, 0.0], [0.5605830152636686, 1.585568206043768], [0.125, 0.0], [0.0, 0.0], [-0.17841985359843088, 0.25232377675552303], [0.5772194556632132, 0.9997734243259362], [0.23641035663391904, 0.40947474912542575], [-0.3489961184480501, 0.4935550439247996], [0.0, 0.0], [0.29070094986690553, 0.0], [-0.22974956949593392, 0.2687287392826324], [0.5615586221813389, 0.0], [0.46499055497527714, -0.8053872662568292], [0.0, 0.0], [0.03157392866566723, 0.05468764864349105], [0.3674937844790465, 0.6365179061834755], [-0.20100806118707146, -0.4363083658458147], [0.4133836909571628, -0.716001555758157], [0.0, 0.0], [-0.15544216506292846, -0.9878449945819179], [-0.11043152607484655, 0.0], [-0.2195285199793807, 0.3802345503146867], [0.35184851119220456, 0.763722847914457], [0.0, 0.0], [0.4016495689574396, 0.6956774602724247], [-1.1094723576096739, -0.10222718838381355], [-0.07725806287787076, 0.13381489019882317], [1.3672890908945865, 0.0], [0.0, 0.0], [-1.1425234930462465, 0.0], [-0.1511197521990872, 0.2617470888360376], [-0.6687809318925511, 0.945799064138963], [0.023180663534098502, 0.04015008699421774], [0.0, 0.0], [-0.10206207261596575, 0.14433756729740643], [0.6599750073368523, -1.143110244433071], [1.2927890819764503, 0.0], [-0.14567920043274427, -0.4120430020153108], [0.0, 0.0], [0.39801487608399566, -0.6893819875457113], [-0.6658489611553373, -0.061351566553531335], [0.5048555622154179, 0.8744354842408542], [-0.12009611535381536, -0.20801257358446093], [0.0, 0.0], [0.4103434965649009, -0.7107357846058734], [-0.1596595059736247, 0.0], [-0.12271148196458614, -0.48470804841064385], [-0.7662610281769211, 0.0], [0.0, 0.0], [0.5503179116495547, 1.1945207933926485], [0.21021863072387573, 0.3641093491113126], [0.23042861179277058, 0.3991140631426436], [-0.08892786213330767, -0.008193845707393203], [0.0, 0.0], [-0.5570860145311556, 0.0], [0.6679278996396887, 0.12414017247199023], [-1.035411580214411, 0.0], [-0.7951657833684095, 1.3772675372343928], [0.0, 0.0], [0.40449906752574344, 0.7006129365688218], [0.020347444600667394, 0.03524280785254895], [0.09016696346674323, -0.12751534261266767], [-0.28959063829278986, 0.5015856989194133], [0.0, 0.0], [-1.1691542900523044, -0.21729742879696312], [0.2572428317181083, 0.0], [-0.04419417382415922, 0.07654655446197431], [-1.1312446376997236, -0.10423329422596893], [0.0, 0.0], [0.2140129125019265, 0.37068123792912927], [-0.09143518156686078, -0.19846932712377363], [-0.10619884881071831, 0.18394180184548975], [-0.8163115826645315, 0.0], [0.0, 0.0], [-0.3343347326371485, 0.0], [0.12815364865751414, -0.22196863065014555], [-0.1788507434169745, -0.38821366232643556], [0.4769980743143342, 0.8261848998249419], [0.0, 0.0], [-0.06528825958742444, -0.0060156840919177185], [-0.10277830647412975, 0.178017248729078], [0.2969085834045788, 0.0], [-0.08333333333333333, -0.23570226039551584], 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0.9684202916310659], [0.0, 0.0], [0.007193908028474759, 0.012460214210295936], [0.6062478874484143, 1.0500521430419518], [0.04957985087942013, 0.004568305574382769], [-0.2987783722829057, 0.5174993209967216], [0.0, 0.0], [0.49793933824179987, -0.5824194182323171], [0.7483032872925282, 0.0], [-0.5963397234561116, 1.032890699597559], [0.03187883565316692, -0.045083481733371615], [0.0, 0.0], [-0.3725064074483371, -0.6452000238454735], [-0.06366070140792303, 0.09002982732126874], [0.021450260583512834, -0.03715294116623626], [-0.6867102389244992, 0.0], [0.0, 0.0], [0.12706418759795918, 0.0], [-0.10238575205248619, 0.17733732452605555], [1.8277512098223934, 0.16840966425500764], [0.17284731884088328, 0.2993803381844671], [0.0, 0.0], [-0.09185768008881878, -0.19938640297933452], [-0.5216796050670119, 0.9035755812485309], [0.1027961928479944, 0.0], [-1.2655439943366653, -0.3579498961141463], [0.0, 0.0]], 'angles': [None, None, None, -0.2576872705122819, -0.4517279164435629, -0.13849324615531416, -0.3283820874274703, -0.260056985166541, -0.13220045198985214, -0.3226263477427208, -0.48501950394941157, -0.3642132858770663, -0.07089275546566368, -0.32052180880187175, -0.41144824928849477, -0.34853495607724083, 0.047407361189288115, -0.4120862503010722, 0.014597807396367866, -0.22678451406240097, -0.2047035502066122, -0.34884008063200184, -0.45189261728525637, -0.13019694069421509, -0.30195009239671405, -0.3515162852333442, 0.0008937909209487278, -0.26271883334069884, -0.31257702562868206, -0.04632692438850778, -0.22947239867700414, -0.04900660138097676, -0.39621413406986106, -0.004195765660003138, -0.467437942851585, -0.3713807992634326, 0.02688274715875849, -0.24439551288437142, -0.38959684098052, -0.36876794031583915, -0.19604203472053075, -0.18652219723867436, -0.38038015234631983, -0.48778198781025733, -0.20400515766003077, -0.12096308495960693, 0.008171918063006165, -0.30762258862328773, -0.40900787983813747, -0.009451141729080556, -0.3359500382802772, -0.3940432026884708, -0.4217935888855258, -0.19115922704353977, 0.023228638349722004, -0.45405976778503643, -0.41321514653212754, -0.12283156217135124, -0.3701247366782417, -0.4749253445427495, -0.06436691495582056, 0.0047809596510367735, -0.13027441987457158, -0.4708766640964112, -0.3817669389479876, 0.25095337639944965, 0.2683301724349521, -0.4885483342205489, -0.15044039981923207, -0.46689106706351613, -0.44474904501848594, -0.21421182889145954, -0.4656024938880012, 0.03195148879623875, -0.3909386091137349, -0.0760198651278143, 0.1796907925377403, -0.32368744276909506, -0.4556217727805186, -0.10743192891856516, -0.0868284993952074, -0.35102417238715206, -0.19627013115955036, -0.3431925831295101, -0.32849636003629146, -0.42895696133526606, -0.25299690649084333, -0.44700594521363857, -0.4257501222642557, 0.010822247719283326, -0.26603996943602404, -0.36982754229595355, -0.10485531810807856, -0.4945924625976044, -0.0949121810416782, -0.28414837653477326, -0.05641275412780283, -0.27696303204897854, -0.1370727758403897, -0.41205646159544085, -0.441425760697582, -0.09556968971861876, 0.054482967234933004, -0.476424966523884, -0.12632290305625107, -0.2960143199837158, -0.3106446123933955, -0.41167533568916787, -0.1301842438302198, -0.48071165887122264, -0.04552447872788851, -0.3055841007186746, 0.05377631227024557, -0.2993362036953652, -0.23938441738388969, -0.2862621697432531, -0.1125172167201704, -0.33212515399862746, -0.4674933804465008, -0.3655686519939801, -0.04009593454553672, -0.4766701866116174, -0.4154308053656702, -0.10867048458955121, -0.34929597820044495, -0.19032103864117927, -0.4865908212677546, -0.18206598714995903, -0.4483113121049252, -0.12236417192204423, -0.22872117209830234, -0.12195868773095439, -0.4300832793704067, -0.22091546548579602, 0.08755078631158385, -0.010529223674502932, -0.1808905616689808, -0.06229845086020198, -0.4747713861588547, -0.09479256906050766, -0.29896403612444167, -0.2855631545901352, -0.06220100538717407, -0.2114425036146302, -0.31104820248312065, -0.46049584542559985, -0.4874978054803461, 0.26604511068077685, -0.47896693752229486, -0.30977229789660043, -0.3927666683318077, -0.3343206707735433, -0.21914541356785358, -0.07089200865847964, -0.3220291686667031, -0.416014261540595, -0.2212336057507101, -0.2339271864305239, -0.1380594478125599, 0.06739095787680191, -0.47276530597744476, -0.09621832726675417, -0.1596624874858983, -0.3112426244574953, 0.020329701320405805, 0.1850227694048708, -0.23988173865784793, 0.17068051017859415], 'char_orbit_index': 5, 'conrey_index': 151, 'dual_conrey_index': 301, 'dual_embedding_index': 1, 'dual_embedding_m': 3, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': -0.7071067811865476, 'embedding_root_real': 1.224744871391589, 'hecke_orbit': 11, 'hecke_orbit_code': 45036271185166786, 'label': '450.2.e.k.151.1', 'level': 450, 'weight': 2}
• mf_newspaces •

  Column	Type
  ALdims	integer[]
  Nk2	integer
  a4_dim	integer
  a5_dim	integer
  analytic_conductor	double precision
  char_conductor	integer
  char_degree	integer
  char_is_real	boolean
  char_orbit_index	smallint
  char_orbit_label	text
  char_order	integer
  char_parity	smallint
  char_values	jsonb
  conrey_index	integer
  cusp_dim	integer
  dihedral_dim	integer
  dim	integer
  eis_dim	integer
  eis_new_dim	integer
  hecke_cutter_primes	integer[]
  hecke_orbit_code	bigint
  hecke_orbit_dims	integer[]
  label	text
  level	integer
  level_is_powerful	boolean
  level_is_prime	boolean
  level_is_prime_power	boolean
  level_is_prime_square	boolean
  level_is_square	boolean
  level_is_squarefree	boolean
  level_primes	integer[]
  level_radical	integer
  mf_dim	integer
  mf_new_dim	integer
  num_forms	smallint
  plus_dim	integer
  prim_orbit_index	smallint
  relative_dim	integer
  s4_dim	integer
  sturm_bound	integer
  trace_bound	integer
  trace_display	numeric[]
  traces	numeric[]
  weight	smallint
  weight_parity	smallint

  
  {'Nk2': 1800, 'analytic_conductor': 3.593268090957617, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [450, 3, [101, 127], [2, 3]], 'conrey_index': 151, 'cusp_dim': 156, 'dim': 38, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17], 'hecke_orbit_code': 274911461826, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4], 'label': '450.2.e', 'level': 450, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 204, 'mf_new_dim': 38, 'num_forms': 14, 'prim_orbit_index': 3, 'relative_dim': 19, 'sturm_bound': 180, 'trace_bound': 7, 'trace_display': [-1, 1, 0, -2], 'traces': [38, -1, 1, -19, 0, -5, -2, 2, -5, 0, -1, 4, -2, 2, 0, -19, 18, 2, -2, 0, -2, 3, 6, 1, 0, -20, 16, 4, 18, 0, -8, -1, 15, 3, 0, -5, 16, -11, -24, 0, -13, -20, 1, 2, 0, 12, -18, -5, -27, 0, 37, -2, -48, -17, 0, 2, 23, 6, 43, 0, -20, 16, -28, 38, 0, 26, -17, -9, -8, 0, -24, -13, 22, 8, 0, 1, -42, 10, -8, 0, -41, -30, 24, -14, 0, 35, -54, 3, 92, 0, 56, 6, 20, -6, 0, 4, 7, 42, -88, 0, -32, 39, -14, 10, 0, 12, 30, 19, 40, 0, 76, -2, 42, 57, 0, -36, -10, -18, 10, 0, -16, 4, -12, -8, 0, -98, 4, -1, 61, 0, -48, -15, -34, -78, 0, -6, -45, -66, -17, 0, -58, -12, -60, 10, 0, 29, 0, -8, 22, 0, -38, 22, -45, -36, 0, 42, 16, -32, 12, 0, 16, -25, 88, -13, 0, -24, -12, -2, -45, 0, -9, -2, 30, 60, 0, -1, 36, -6, -80, 0, 52, 20, 56, -6, 0, -20, 15, 36, -26, 0, -18, 1, 19, 9, 0, -27, 24, 63, 28, 0, 26, 24, 0, -2, 0, 60, 78, 4, 51, 0, -56, 24, 12, 9, 0, 16, -40, -44, -35, 0, 42, 4, 22, -4, 0, 60, 27, -28, 46, 0, 128, 6, -18, 18, 0, 43, -28, -6, -190, 0, -5, -52, -89, 40, 0, 131, 2, -8, 58, 0, 138, 14, -156, -34, 0, -19, 9, 16, -40, 0, -72, 72, 30, -31, 0, 50, -6, -17, -96, 0, -56, -9, 100, 27, 0, 82, -2, 106, -128, 0, -54, 12, -32, 12, 0, -6, -60, 11, 92, 0, -217, -11, 30, -63, 0, -16, -75, 60, -60, 0, -94, 34, 0, 1, 0, -92, 106, -42, 44, 0, 30, 40, 43, 48, 0, 16, -6, -84, -6, 0, -27, -12, 6, -62, 0, 36, -64, 15, 80, 0, -32, -48, -40, 24, 0, 16, -23, -63, 108, 0, -40, -38, 8, 35, 0, 6, 39, 30, -20, 0, -78, -6, 21, 175, 0, -46, 126, 12, -108, 0, 168, 22, 124, -28, 0, -76, -44, -12, 311, 0, 120, -28, -26, -73, 0, -6, 72, 82, 70, 0, -38, -42, 0, -5, 0, -214, 62, -14, -202, 0, 54, -21, -84, -36, 0, -13, -128, -26, 138, 0, -185, 25, -88, 64, 0, -96, 60, -27, -17, 0, -57, -14, -60, -86, 0, 10, -88, -51, 8, 0, -8, -104, 12, -24, 0, -24, 20, -15, -66, 0, 428, -35, 58, 48, 0, -20, -18, 1, -20, 0, 399, -60, -15, -68, 0, 50, -48, -2, 66, 0, -66, 42, 50, 81, 0, -3, 67, 100, 112, 0, 30, 18, 76, 18, 0, 39, -222, 20, -100, 0, 116, 9, 93, -132, 0, -20, -72, -36, 38, 0, 32, 7, -96, -16, 0, -116, -44, 4, -34, 0, 81, -21, 30, -124, 0, 16, -48, -48, 43, 0, 24, 63, -96, 28, 0, -106, -27, -2, 24, 0, 74, 2, 8, -78, 0, -41, 30, -28, -166, 0, -230, -6, -32, -48, 0, 54, 60, 0, 53, 0, -143, 68, 30, -16, 0, 39, 108, -12, 666, 0, -128, 16, -34, 3, 0, -180, -35, 90, -76, 0, -282, 12, -52, -10, 0, -17, 204, 40, 116, 0, 29, -6, -69, 194, 0, -96, 86, 24, 95, 0, -5, 30, -6, 42, 0, -5, 142, -40, -74, 0, -104, 28, 84, -58, 0, -12, 69, -33, -88, 0, -208, -8, -60, 155, 0, 22, 2, 60, -12, 0, 1, -52, -73, 76, 0, 184, 28, -11, -372, 0, -120, 39, 40, 19, 0, 18, -27, -2, 91, 0, 130, -60, 36, -18, 0, 65, -63, 16, -440, 0, -104, -32, -40, -66, 0, 24, -90, 12, -216, 0, 89, 33, 37, -8, 0, 63, -12, 23, -234, 0, -8, -44, 18, -140, 0, 26, -55, -24, 40, 0, 148, -8, 120, -24, 0, 244, -96, -12, -86, 0, 40, 22, -74, 350, 0, 90, -12, -18, -82, 0, 319, 12, 30, -3, 0, 136, -40, 1, -144, 0, 28, -60, 30, -174, 0, -30, -9, 4, 251, 0, 332, 16, 104, -1, 0, 15, 72, -15, 136, 0, 204, 12, 36, -176, 0, 40, 24, 6, 128, 0, -88, -6, 35, -26, 0, 266, 70, -40, -98, 0, -143, 32, 94, 140, 0, -6, 114, 3, -206, 0, -240, 108, 18, -44, 0, 4, 132, -30, 102, 0, 172, -18, -27, 60, 0, -8, 52, -35, 2, 0, 126, -50, 20, 36, 0, -24, -6, 4, -50, 0, 12, 19, 84, -131, 0, 9, 40, 18, 33, 0, 96, 60, -90, 54, 0, -72, -44, -12, 166, 0, -384, -78, -256, 140, 0, -14, -84, 20, 114, 0, -232, 138, -111, -37, 0, -256, -120, 24, -162, 0, -242, 0, 8, 108, 0, -35, -1, -62, 444, 0, 202, 24, -32, -30, 0, 18, 0, -36, -116, 0, -278, -2, 39, -83, 0, -102, -112, 72, -392, 0, -25, 4, 18, -56, 0, 158, -56, 24, -220, 0, -128, -24, 22, 88, 0, -18, -78, 30, 157, 0, -166, -30, 48, 1, 0, 47, -20, 20, 276, 0, -94, 88, 134, 36, 0, -110, -32, -8, 264, 0, 156, 39, 82, 42, 0, 33, -24, -32, -64, 0, 497, -44, 30, -122, 0, 2, 60, 39, -240, 0, 264, -45, -152, -30, 0, -140, -77, -54, 400, 0, 36, 5, -84, -1, 0, 46, 120, -15, -164, 0, -303, -78, -48, 26, 0, -104, 98, -12, 210, 0, 21, 9, -12, 21, 0, -30, -164, 50, 103, 0, 188, -80, -90, -86, 0, -42, 57, 56, 14, 0, -14, -6, -174, 0, 0, -190, 48, -42, 150, 0, 21, 32, -3, 10, 0, -92, -26, 26, -255, 0, -384, 85, 116, -230, 0, -20, -165, -92, 60, 0, -272, -126, 48, -70, 0, 42, -84, 2, 412, 0, 16, -8, -76, 0, 0, -38, 16, -74, -416, 0], 'weight': 2, 'weight_parity': 1}
• mf_twists_cc •

  Column	Type
  conductor	integer
  degree	integer
  order	integer
  parity	smallint
  source_conrey_index	integer
  source_dim	integer
  source_embedding_index	integer
  source_hecke_orbit_code	bigint
  source_is_minimal	boolean
  source_label	text
  source_level	integer
  target_conrey_index	integer
  target_dim	integer
  target_embedding_index	integer
  target_hecke_orbit_code	bigint
  target_is_minimal	boolean
  target_label	text
  target_level	integer
  twist_class_label	text
  twist_class_level	integer
  twisting_char_label	text
  twisting_conrey_index	integer
  weight	smallint

  
  
  • id: 47180936
    {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 151, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185166786, 'source_is_minimal': False, 'source_label': '450.2.e.k.151.1', 'source_level': 450, 'target_conrey_index': 151, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036271185166786, 'target_is_minimal': False, 'target_label': '450.2.e.k.151.1', 'target_level': 450, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
  • id: 47180937
    {'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185166786, 'source_is_minimal': False, 'source_label': '450.2.e.k.151.1', 'source_level': 450, 'target_conrey_index': 451, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043470439908678, 'target_is_minimal': False, 'target_label': '1350.2.e.m.451.2', 'target_level': 1350, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
  • id: 47180938
    {'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185166786, 'source_is_minimal': False, 'source_label': '450.2.e.k.151.1', 'source_level': 450, 'target_conrey_index': 79, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149416738906, 'target_is_minimal': True, 'target_label': '90.2.i.b.79.1', 'target_level': 90, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
  • id: 47180939
    {'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185166786, 'source_is_minimal': False, 'source_label': '450.2.e.k.151.1', 'source_level': 450, 'target_conrey_index': 79, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504149416738906, 'target_is_minimal': True, 'target_label': '90.2.i.b.79.4', 'target_level': 90, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
  • id: 47180940
    {'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 151, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185166786, 'source_is_minimal': False, 'source_label': '450.2.e.k.151.1', 'source_level': 450, 'target_conrey_index': 151, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58547070067278274, 'target_is_minimal': False, 'target_label': '450.2.e.n.151.2', 'target_level': 450, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
  • id: 47180941
    {'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185166786, 'source_is_minimal': False, 'source_label': '450.2.e.k.151.1', 'source_level': 450, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 171136785873637330, 'target_is_minimal': False, 'target_label': '4050.2.a.bm.1.1', 'target_level': 4050, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
  • id: 47180942
    {'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 151, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185166786, 'source_is_minimal': False, 'source_label': '450.2.e.k.151.1', 'source_level': 450, 'target_conrey_index': 301, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036271185166786, 'target_is_minimal': False, 'target_label': '450.2.e.k.301.1', 'target_level': 450, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
  • id: 47180943
    {'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185166786, 'source_is_minimal': False, 'source_label': '450.2.e.k.151.1', 'source_level': 450, 'target_conrey_index': 901, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043470439908678, 'target_is_minimal': False, 'target_label': '1350.2.e.m.901.2', 'target_level': 1350, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
  • id: 47180944
    {'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 151, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185166786, 'source_is_minimal': False, 'source_label': '450.2.e.k.151.1', 'source_level': 450, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 198158383637860306, 'target_is_minimal': False, 'target_label': '4050.2.a.bs.1.1', 'target_level': 4050, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
  • id: 47180945
    {'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 151, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185166786, 'source_is_minimal': False, 'source_label': '450.2.e.k.151.1', 'source_level': 450, 'target_conrey_index': 19, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504149416739086, 'target_is_minimal': False, 'target_label': '270.2.i.b.19.3', 'target_level': 270, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
  • id: 47180946
    {'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 151, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185166786, 'source_is_minimal': False, 'source_label': '450.2.e.k.151.1', 'source_level': 450, 'target_conrey_index': 19, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504149416739086, 'target_is_minimal': False, 'target_label': '270.2.i.b.19.2', 'target_level': 270, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
  • id: 47180947
    {'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185166786, 'source_is_minimal': False, 'source_label': '450.2.e.k.151.1', 'source_level': 450, 'target_conrey_index': 451, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532671557797190, 'target_is_minimal': False, 'target_label': '1350.2.e.j.451.1', 'target_level': 1350, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
  • id: 47180948
    {'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 151, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185166786, 'source_is_minimal': False, 'source_label': '450.2.e.k.151.1', 'source_level': 450, 'target_conrey_index': 529, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9010635262132944, 'target_is_minimal': False, 'target_label': '720.2.by.c.529.1', 'target_level': 720, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
  • id: 47180949
    {'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 151, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185166786, 'source_is_minimal': False, 'source_label': '450.2.e.k.151.1', 'source_level': 450, 'target_conrey_index': 529, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9010635262132944, 'target_is_minimal': False, 'target_label': '720.2.by.c.529.4', 'target_level': 720, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
  • id: 47180950
    {'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 151, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185166786, 'source_is_minimal': False, 'source_label': '450.2.e.k.151.1', 'source_level': 450, 'target_conrey_index': 649, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014535981990698, 'target_is_minimal': False, 'target_label': '810.2.c.e.649.2', 'target_level': 810, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '45.2', 'twisting_conrey_index': 2, 'weight': 2}
  • id: 47180951
    {'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 151, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185166786, 'source_is_minimal': False, 'source_label': '450.2.e.k.151.1', 'source_level': 450, 'target_conrey_index': 301, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58547070067278274, 'target_is_minimal': False, 'target_label': '450.2.e.n.301.2', 'target_level': 450, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '45.4', 'twisting_conrey_index': 4, 'weight': 2}
  • id: 47180952
    {'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185166786, 'source_is_minimal': False, 'source_label': '450.2.e.k.151.1', 'source_level': 450, 'target_conrey_index': 649, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22518135609361194, 'target_is_minimal': False, 'target_label': '810.2.c.f.649.3', 'target_level': 810, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '45.7', 'twisting_conrey_index': 7, 'weight': 2}
  • id: 47180953
    {'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185166786, 'source_is_minimal': False, 'source_label': '450.2.e.k.151.1', 'source_level': 450, 'target_conrey_index': 49, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149416738906, 'target_is_minimal': True, 'target_label': '90.2.i.b.49.1', 'target_level': 90, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '45.13', 'twisting_conrey_index': 13, 'weight': 2}
  • id: 47180954
    {'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185166786, 'source_is_minimal': False, 'source_label': '450.2.e.k.151.1', 'source_level': 450, 'target_conrey_index': 901, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532671557797190, 'target_is_minimal': False, 'target_label': '1350.2.e.j.901.1', 'target_level': 1350, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '45.14', 'twisting_conrey_index': 14, 'weight': 2}
  • id: 47180955
    {'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185166786, 'source_is_minimal': False, 'source_label': '450.2.e.k.151.1', 'source_level': 450, 'target_conrey_index': 49, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504149416738906, 'target_is_minimal': True, 'target_label': '90.2.i.b.49.4', 'target_level': 90, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '45.22', 'twisting_conrey_index': 22, 'weight': 2}
  • id: 47180956
    {'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 151, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185166786, 'source_is_minimal': False, 'source_label': '450.2.e.k.151.1', 'source_level': 450, 'target_conrey_index': 199, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504149416739086, 'target_is_minimal': False, 'target_label': '270.2.i.b.199.3', 'target_level': 270, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '45.23', 'twisting_conrey_index': 23, 'weight': 2}
  • id: 47180957
    {'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185166786, 'source_is_minimal': False, 'source_label': '450.2.e.k.151.1', 'source_level': 450, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 229683581029453778, 'target_is_minimal': False, 'target_label': '4050.2.a.bz.1.2', 'target_level': 4050, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '45.29', 'twisting_conrey_index': 29, 'weight': 2}
  • id: 47180958
    {'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 151, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185166786, 'source_is_minimal': False, 'source_label': '450.2.e.k.151.1', 'source_level': 450, 'target_conrey_index': 199, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504149416739086, 'target_is_minimal': False, 'target_label': '270.2.i.b.199.2', 'target_level': 270, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 2}
  • id: 47180959
    {'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 151, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185166786, 'source_is_minimal': False, 'source_label': '450.2.e.k.151.1', 'source_level': 450, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 189151184383119314, 'target_is_minimal': False, 'target_label': '4050.2.a.bq.1.2', 'target_level': 4050, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '45.34', 'twisting_conrey_index': 34, 'weight': 2}
  • id: 47180960
    {'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 151, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185166786, 'source_is_minimal': False, 'source_label': '450.2.e.k.151.1', 'source_level': 450, 'target_conrey_index': 649, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18014535981990698, 'target_is_minimal': False, 'target_label': '810.2.c.e.649.4', 'target_level': 810, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '45.38', 'twisting_conrey_index': 38, 'weight': 2}
  • id: 47180961
    {'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185166786, 'source_is_minimal': False, 'source_label': '450.2.e.k.151.1', 'source_level': 450, 'target_conrey_index': 649, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518135609361194, 'target_is_minimal': False, 'target_label': '810.2.c.f.649.1', 'target_level': 810, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '45.43', 'twisting_conrey_index': 43, 'weight': 2}
  • id: 47180962
    {'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185166786, 'source_is_minimal': False, 'source_label': '450.2.e.k.151.1', 'source_level': 450, 'target_conrey_index': 289, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13514234889504880, 'target_is_minimal': False, 'target_label': '2160.2.by.d.289.4', 'target_level': 2160, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 2}
  • id: 47180963
    {'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185166786, 'source_is_minimal': False, 'source_label': '450.2.e.k.151.1', 'source_level': 450, 'target_conrey_index': 289, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13514234889504880, 'target_is_minimal': False, 'target_label': '2160.2.by.d.289.1', 'target_level': 2160, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 2}
  • id: 47180964
    {'conductor': 180, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185166786, 'source_is_minimal': False, 'source_label': '450.2.e.k.151.1', 'source_level': 450, 'target_conrey_index': 1009, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13514234889504880, 'target_is_minimal': False, 'target_label': '2160.2.by.d.1009.1', 'target_level': 2160, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '180.23', 'twisting_conrey_index': 23, 'weight': 2}
  • id: 47180965
    {'conductor': 180, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 151, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185166786, 'source_is_minimal': False, 'source_label': '450.2.e.k.151.1', 'source_level': 450, 'target_conrey_index': 49, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9010635262132944, 'target_is_minimal': False, 'target_label': '720.2.by.c.49.1', 'target_level': 720, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '180.67', 'twisting_conrey_index': 67, 'weight': 2}
  • id: 47180966
    {'conductor': 180, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 151, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185166786, 'source_is_minimal': False, 'source_label': '450.2.e.k.151.1', 'source_level': 450, 'target_conrey_index': 49, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9010635262132944, 'target_is_minimal': False, 'target_label': '720.2.by.c.49.4', 'target_level': 720, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '180.103', 'twisting_conrey_index': 103, 'weight': 2}
  • id: 47180967
    {'conductor': 180, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036271185166786, 'source_is_minimal': False, 'source_label': '450.2.e.k.151.1', 'source_level': 450, 'target_conrey_index': 1009, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13514234889504880, 'target_is_minimal': False, 'target_label': '2160.2.by.d.1009.4', 'target_level': 2160, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '180.167', 'twisting_conrey_index': 167, 'weight': 2}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 908725
    {'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 45036271185166786, 'p': 2}
  • id: 908726
    {'charpoly_factorization': [[[9, -6, 1, -2, 1], 1]], 'hecke_orbit_code': 45036271185166786, 'p': 3}
  • id: 908727
    {'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 45036271185166786, 'p': 5}
  • id: 908728
    {'charpoly_factorization': [[[4, 8, 18, -4, 1], 1]], 'hecke_orbit_code': 45036271185166786, 'p': 7}
  • id: 908729
    {'charpoly_factorization': [[[25, 10, 9, -2, 1], 1]], 'hecke_orbit_code': 45036271185166786, 'p': 11}
  • id: 908730
    {'charpoly_factorization': [[[36, 0, 6, 0, 1], 1]], 'hecke_orbit_code': 45036271185166786, 'p': 13}
  • id: 908731
    {'charpoly_factorization': [[[-23, -2, 1], 2]], 'hecke_orbit_code': 45036271185166786, 'p': 17}
  • id: 908732
    {'charpoly_factorization': [[[3, 6, 1], 2]], 'hecke_orbit_code': 45036271185166786, 'p': 19}
  • id: 908733
    {'charpoly_factorization': [[[400, 80, 36, -4, 1], 1]], 'hecke_orbit_code': 45036271185166786, 'p': 23}
  • id: 908734
    {'charpoly_factorization': [[[36, -6, 1], 2]], 'hecke_orbit_code': 45036271185166786, 'p': 29}
  • id: 908735
    {'charpoly_factorization': [[[100, 80, 54, 8, 1], 1]], 'hecke_orbit_code': 45036271185166786, 'p': 31}
  • id: 908736
    {'charpoly_factorization': [[[8, 1], 4]], 'hecke_orbit_code': 45036271185166786, 'p': 37}
  • id: 908737
    {'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 45036271185166786, 'p': 41}
  • id: 908738
    {'charpoly_factorization': [[[361, -190, 81, -10, 1], 1]], 'hecke_orbit_code': 45036271185166786, 'p': 43}
  • id: 908739
    {'charpoly_factorization': [[[4, -8, 18, 4, 1], 1]], 'hecke_orbit_code': 45036271185166786, 'p': 47}
  • id: 908740
    {'charpoly_factorization': [[[30, 12, 1], 2]], 'hecke_orbit_code': 45036271185166786, 'p': 53}
  • id: 908741
    {'charpoly_factorization': [[[22201, -298, 153, 2, 1], 1]], 'hecke_orbit_code': 45036271185166786, 'p': 59}
  • id: 908742
    {'charpoly_factorization': [[[4, -8, 18, 4, 1], 1]], 'hecke_orbit_code': 45036271185166786, 'p': 61}
  • id: 908743
    {'charpoly_factorization': [[[1849, -602, 153, -14, 1], 1]], 'hecke_orbit_code': 45036271185166786, 'p': 67}
  • id: 908744
    {'charpoly_factorization': [[[-6, 0, 1], 2]], 'hecke_orbit_code': 45036271185166786, 'p': 71}
  • id: 908745
    {'charpoly_factorization': [[[-71, 10, 1], 2]], 'hecke_orbit_code': 45036271185166786, 'p': 73}
  • id: 908746
    {'charpoly_factorization': [[[2916, 0, 54, 0, 1], 1]], 'hecke_orbit_code': 45036271185166786, 'p': 79}
  • id: 908747
    {'charpoly_factorization': [[[16, 4, 1], 2]], 'hecke_orbit_code': 45036271185166786, 'p': 83}
  • id: 908748
    {'charpoly_factorization': [[[40, -16, 1], 2]], 'hecke_orbit_code': 45036271185166786, 'p': 89}
  • id: 908749
    {'charpoly_factorization': [[[169, -13, 1], 2]], 'hecke_orbit_code': 45036271185166786, 'p': 97}
• mf_newform_portraits •

  Column	Type
  char_orbit_index	smallint
  hecke_orbit	integer
  label	text
  level	integer
  portrait	text
  weight	smallint

  
  {'char_orbit_index': 5, 'hecke_orbit': 11, 'label': '450.2.e.k', 'level': 450, 'portrait': 'data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALgAAAC4CAYAAABQMybHAAAABGdBTUEAALGPC/xhBQAAACBjSFJNAAB6JgAAgIQAAPoAAACA6AAAdTAAAOpgAAA6mAAAF3CculE8AAAABmJLR0QA/wD/AP+gvaeTAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAAB3RJTUUH5AsHEQo4ZA9jzwAAABBjYU52AAAA1wAAANcAAAAQAAAADnCbpecAAIAASURBVHja7P13vGXnXd+Lv5+y1tr11OldI2nULclyL5KFKzaOHVwgcSAktBuHtHsJJeWGcCEGhwQCCZdibMA0G2NsjOUmWbIkS7Z612hmNL3PqbvvVZ7n98ez6j5nZEjgZ0zufr327H32OWfO3mt91uf5fD/f8gj+v9tf2e0Tn7kHKcXmJw8cn7aJtdvmPXxP8vCRHje/aE684urW4t2PJGybX5q/6apT9vED26n5ks3zA1rNRBh5+SrYc/PbXguwFVgBhkKIb/ZH+5a96W/2G/hWuR06ehbgEmOSzRZhBsOQP/nkn3L5ttPs2bpETfkcPvnJaNm++KeG/eXv0MJGp876bJ4TRIMRvdXYP3Vq4bdOnBKIZPT9J6b64ZlzC2ydh+OjkKlW4o3io3/+y7+z/6eeOfkp8Uv/8Qd+/typI39cix9/uL/6nLIEIIRU0jsHHKm3tn2zD8m3xO3/o4aL3J49dAErajOeOXJzf/kJtJTRqeXpf9UbyTdKYQmjmEceeYxWfYXLtnVY6SlOnK+DGRNHMbNty3MnfK65JOHMBcnsVEy7GfD8GU1iIja0BKcXI67dazh4QjI3ZfB9n1pNc+SCZKUP+zbFXL5rliuuehEWD61gEOov7T8y+sXYGu/W11zD5Xu2340drwi56Zt9yP5G3v4/gKe3lZUFgDc3m+NLjx7pmf/4Kx83f//NU5f0x5t+ot99nmbN5+iJs3S7i4SRZnkgSaxPzbO0A8v5bszBMyO2zdWYriuUiNgw5XP5TsVgBEKOOXVBMwrh9KJA4TMcR1y607J5to9E0myEbNnY47ljcyyt1GnWEgIdMRgZOn1FGMfMzG6g2dqG0iHXXL6Hx59b/LmXX37uyI593yMjMS23btDPA1+Ympr/Zh/SvxG3/+0B/vQT9yKFuHm5E77pmcOL775y94Urxn2f3/rTA7zi2lUWLmiOLwzYPq9oBLBh2nBqOUBJixSGrTMJx8/XaDYsDz8/ZjAW1HxYXIVLNmga9YDNG2JuvrbLM0emeHi/4NnjMa+8JmHbvKHZFOzcvMLCiqIWwHBsefS5eVp1yeHzPltmR0gBvko4u6SYasZIErZtilhYbDG0htdd3+L4ylXUGgmvvn76ufPLGz8RJfKLCO5+8xtu+WYf4m/q7X87gPe6q9Rqtdnz5xf+02/+/pf8g8efTb7/bbUXL6+0b/qjL5xj84Zj3Hp9ky8/NM3QrPLGF2vufbzG3h1D+kOPM8uKcSQIdMxVOxI2zY5Z6kkePzxFFAsu3zbifE9x3d4hB496dEeacAwvvarPgZMN2vWQ/ac0L98nCaMx3ZHm8WOSG3YndHoel24PCSPJk0cEi70aW2bgip09fC0JIzi77NEbx1y21eMrj1u+7aY+4+E0n3tgwM0vXuX6vTt5+NBWloaDh999y/Ijm+ZfpDbuenPYas/9mzgOl2dmpr7Zp+D/r7e/9QA/cvQ4nqfFpz57L6958VhdtrPxq6fO6n0PPX76NXd+/ZQ6en6R737DKptbbe54qMljR4f803ct0+1s5gsPGnZuH7C5Vef8cszWjfDE84rIgkCxfTbhxft6LPcE/VGNZ49ortnbxfN9egOJFIIrdhieOGRY6NYZRD2u3xvSH06x3BU8flCyb1eMEYLVgaEeWF60W/L0Ec0wjFjpKl58uWXzXIQSMXHi8ehhnx0bLRcWFfOzXXZvavKlBzw64Qr/9J2KR56e5vMPjtixo8/3vVmx0tnBuc6WJGhvv3c1rh2Yrnfe/8p9JFt2vwZjYrtp885v9in6a739rXRRVpbOIpWSo0G39ke/81Pjt73n3/1okiTf8//8xuHoR7/70JUB07Xeik/Tg0Ff8ugh+J439Ln20hZnlmrc/nDAd75mlev3zvHlx3wu3TFg83SLY2diXnpFyHMnfaabESB5+liDrbOGpRXNfc8k3HcIrttluWqHZLknuPdZya3XREw3FSu9FifPala7FuWFfO9bVjh+rs1qT3DjvhHXXbqAxwznFjdwcgGu2m0YhpKj5wJmGpr9pyT7dkCvJ9m3a5E9W2t8+SGfY0tD3nWz4fziDPuPQWeccP2lY5Sd5tCxAc8c2a8OLxy5pTk1ePnP/VDrpcbc6I3Ho49+9/f+xC88u/9QMDM9NYqT2Ozc8bfPmflbxeCJMUghZBKvTK8sHHnFcCx/89Chw/GDjxyce3L/2fZTx2Om5pb4N989hmQrTxys8/jBiIPnhrzplR1efWWTJw5Mc/eTIdNzff7uqyRPPdfi3qeHXLk3ZvtsHewQoQWe1Dx/VrOxndAZW1q1MccvJDxzMqGlZnjjS/qsrLZ44FnLNXsEl+1MSGLBiQWPJDFctl1w9SURDzwjWO4PeMNNknrzDAeOtTh2doZGIOgNPOanYg6f9fH1GCUV1mh2bF7m6l2Kex6b4eEjEe+4ucOm5jT3PFrjsaMDXn79Cm97ic+h4xt4/IDhySMRQ9nnJ//+ApunNnLw+Dyd0cbu9PyepT2XXKrDRP7gNVfv/drG2fYqGCOE+mafyr+y298aBj9/YZGz5xZ33//48e07N5lPbFKfnzp+vNM8esIwHioaNdg0ZXny2DT37z/HO1+xwo6OptPXdIcBn/hyk7lWl+su14zCJl992vKp+wa86zUdarUWjx7y2DrXZ67tc/K8pjtMGAyGNDd5REYz21RsnZG89pohjx2K0VIQ+DFBI+bhI4pmy2P7fMg4hm1zcMO+BToDzTieITKap45Jnji4i0DVCPwEPT1mOIap9pA9QLfvc/JCwtz0gA1TLb74gM9TJ0LeeUuf7dNt7nuixpNHR1y1d4W/97qEg8dmOHxKcOpCzJnVhLfd0uWanTWePdJkcRVOnD3XPvXgsXY3fJCZzdv/+D/9X6POSCbvNnrfqUF/6VijOffNPqV/JbdveYBbawH2femOu7ca9K/f+7XnLvvC/V9Vv/EvTrNhaiOrM7MMx4rBSDMYGXYP4Xe+OMuWuSVecblmMJpnHHkMwwYPPBsSRitcdzkEfoMHn1N88p4O1+xe5TXXNTl0ss3C6oi6H7NhxnD5NsXZJcVyR9LtJbTqYwLfY/uGkKPnPLQc8s5XaR454HHlrlWmp7vc9miD7jBgfqrJowd9rrqkx9yUx7ELgm0bPGq1iJlagqclUgoe3j/LVHNA3R9z6Q6FL+t89UlLo7HKu26BljfNnQ/5PHdqyHVXLHPDXjh5ZjP7j3gcOxPxzCnLTdeu8H1viDh1YQvnlgOWVmGlG7Pah2fODJnqPNhcPvrlpp1/8902EIf6ffPD1tozwIFv9SzqtyzAV1eX0Upf9tz+p1/U6fb/xZEjR26+9+vP8MyRDiuDgA/d1uBfv3eV7RsDRmPJMPQZjz2GY0v/TJ3bHmjyyquXuGGfAmaw1uPx52f47QN93nVrl1dcGTE/3eTh/TN86YERW+ZHXLFLsHFKc/iMx2AU0R9Apy/Q2rJtPgElkTJkOJCcXamBqbNxKuTSbQPuezJgTMzffXVEEjZ4/pRkw4xm25zAmJiFFU13NGYY+fT6Pjvmx8y1Rygl0VoQRZrDp2DDzICXXxezdUZz8PgUX30Oziz3uOm6Ht99S8LJM5t57EDAgeMxjx1JiESPt710xGg4z6nzDc4vSRZWI5Y6MSeXBDIY8f53rND0Ao4eelgt909dUZu6+q5R5N3t+fX/ttrpPBHH8aH5uW9NRv+WFFtLCyepBf7uE8cP/Ncjh5/7D/fdd//uAweOMByFSCEZjRRPH/fYtrnDq66KiGKfONEYq7FWoDGcOOdzbNGwe0uXzTPQCGrUPI1C8/hhxbnVEe12yNV7DPu2B/T6NU4tCHwdEVnFmRWPMwuGbijQWrNpOub8iuHYWZ+ZlkSg2TgbsdyzXLt7hJQNzi41uHxbwMHjAScXLVftHnN+WRLFHsNQsW9HhBCW3kCyaTpmw+yYjbMhnoTOQBEEcPl2wcpKiy8/UufQmRGzsx1e9+IhL98XcPjERh4/4PPMkZgjCyGt6Q7/+M19rt41xfGz05w453FmIeH8UsSJRcGhBcvbX32B739zQn8wy4WVNheWLM8fOcP+g8d294fxd4VRsmt+fsPX3v/+H1n9b7/0i9/sU/+Xvn1LrT/91UNor7ahu3r6X5w48ti1C4u9dx48eJzOwGO1J1juRiyuxpxfsRxdFszOr/KT713iZZc3OXpmnhPn6py6oDhzIeHEuYgjCwbd6POu1/R520t9TpybY//RgOdPGfafiEjkiB0bQ155rWHXRsmJc01Onpcsdw2j2CAlzLRgw1TMclfT7Stm2iFaaGbaCbUg4oH9AZdsNmyYiTm7WMdThtNLho0zlku2hHx9f4DvK+ZaoFTEfBNW+oKlvmBj2zDbjpASxqFiuas5fl5zYiFm1+YRr7g2ZvsGDUmD5442OHzK8uzxhONLY978qhW+8zVj6mqGY2dnOHZGc+ZCwpnFiJMLlgMLlpdcvcCPv7fLpvYMpy7McG6xxoUVzdIqLK6GLK2M2L7zEurNmU+95lUveeqS3dv+22AwWrj+mj3fbCj8hW/fMgyeLP0GvjrejvtP/b9LZx/+P1YWj1/V6y6ipIdFY6zEGIGxFqxBWDh2rsbDzwsu297hql0J4AEKKTVaSQJlubDo8dwpxcgMuWJXl73bDBtmNJtnfHwRsNQJOHlOcPSs4MljcOxsyMLKmE4vYRR51HyfDS3Lto0RQiQMx5rdmyM8ZYmMIEp8lrqS4djD1wJhDRumDfNTCcvdgO5QMIo9VgaCzVOGpY7hxHlFzfPZPAvbN4RsmhuxcW7M5rkx2zdZdm5WXLnDo66aHD3R5utP+zx6MObJ4xGJ6vHWV3d45ystdTXHwePTHD2jOX0h4dxixIkFy/OLlpuuXuDfv2+FHXNTnFmY5sJyjeWOZrkrWe0l9IYJg5Hg8IlFjpxavfKxQ4uvOXBicfehU4tffMUb3h3e98WPf7Mh8Re6/Y1m8JXVDnFkkZIPPPTE4Vf+m1/5M/mWm55/5T//jrN6YXUDq90Wy90ay10vPTmw3ElY6UQsdRLOrsDhJcGGDav8x+9Z4iWXNTh5fpYzF5qcWdScX7KcW4w5tZBwoRczPTviVdf2edkV4Ms6gQo4v1zj7KLm3LJgMIY4NtR8Q7OWMDMVY4Dj52K6fdi1yaNZH2OtAOHTHxp2bh6ztKrBOimy2odxDBbLcidk20aP3lAhlEWYMe2ax84tI1YHguNnNInRzLUlrZog8CCOBYOx5Nyy5OyS5fxKTBCMwIt5+VV9Xnm1YEO7ztJKm5PnA84swvnFmPPLMaeX4fCS5cVXLfLT37PC5uk2J87Ncm6xzsKKz2JHstxJWO1GrPQSVvqWlT6c7QnOLw35hX85jr/zte376xv+kalP7bsf7E+ColZvf7OhctHb31gG/+3f+ySveNkN/F8/+qM/+6efuev//Ognvnzp/mOru587NZCvvrbDpVsTEuOAA8KBCpneBQiLFpZAwpnlGg8cUly7d5krdoxo1MDTEt9T+L6mWZc0PMmg73HgWI07HvU5fmFMN444cHLMprll3vaqFa69tMeLr+hwbDFmcSBoBCOOnLF0uk2uuUSyOkrYf0zRamieOQ6XbbWMwoRR4qN1xEwLnjsZoHSCJ2O0B8Ox5CVXDBgOJNdemtAdJhw/02LPZkWzEbI6tmycHrDS7/Lxu+DxowlPHh2xa+sS1+3rMjMb8paX9/jO11r2bm6RRNMcPT3F4VMeJ88ZTl2IOHUh4fAFwYnViBddvsB//J4em6anOXlulvNLDRZWfZa6gpWuodOL6AwSVnsO3Of6koWu4cZ9i/zwWxelJ+TuUydP7RkMope2ZnbVG82ZLz/y9T/j1z/0h99syKx7+xvJ4J/85Kd42XXb1W13H/y/j50492+fevaYurAyZnGoOdGFK3Zc4L/+8AVedEmd80szLHWaLHcCVroey13NShdWugkr3ZjlXsxiB06uCHR9xCuuXua9rw3Zs7HJar/NheU6C8s+ix3BcsdJhJWeoTs0dMeWwShmrh2xc5MBBIFnOXXBQ8iAXRsVe7Zatm4ccH5lzBOHWtx4maVRX+Hp52dpNUPC0GNuxjAcwZU7R/zBXdPs2xEzHlvmpyRRMqRVC3jm2Ii61+T6y2OePBJyfsln21zAni2wc3OIUhGnFsH3LEJYdm2KmWlJesOA/sCjO/BY7iqWV2GpY1juJCx2Es51YGmUsHNbn/fevMgrrtDUvDZnF9ssrtRYXNUsdQWrHcNqL2K1l7Datyyl4D6/mnDTvvP83A8usXdLmwvL0yyt1uiPW9Tbe5KgsflnF3uX/XS7diq59Q1v/2ZDZ83tbxTADx48QK1eq586eWrn008/+55jJ87+zIHnTzIMBf0RrA4E5/qSU92EG/ac5xd+eInrLmmwsDzN0mqDlZ6TKyspyDs9w2ovZqUXs9y1nO8IzvQtiD7vfHWHt7zEcMmWGmHYYKVTY7Xv0+kpVvqC3kAwGlvC2JIkoKQl8KAeWKbblo2zEdobcfhsyFPPB5i4yZteGqK9VR7ZP8XuLfD5B2NefU3Ahc6QmlbEScTsDMSRh/ZilpYavOqGLp//Wos9W+DhQ2M8GrzxJYZYDHnqcMLRUzW09Nk0o5lpCuqBwPcFSkBsIIwsoxB6A8tq39AbGFYHhqW+ZZgk7No+4C0v6/DOV4ZgWiytTnFhuc5SJyWDDqz2Ejr9OAf3ygDO9hQXugkvvuw8P//DF7hyZ4OF5RmWO01WegHdgabTBb+xjWZ787/buXvfH2/euu1EOBoNL7t83zcbSvntbwzAjx59nvm5Df7Ro4e+7+DBQ7/60MNPiNXuQI7Ghv7I0B9aukPL6lBwvq843Yu46dILfPAHlrnh0oDF1WkWV5usdgNWez4rPc1qT9DpWTr9hNVeTKdvWOlbLvQEZzuGmekBr39xj5dfEbNrk6Jd9+j2agSeBBRhnAWuMBgBwjDTGnHotMXYkNsfbjIe1Ll0m88rrh0QmVXueXSa6y/zOHSuT2elzcuuHfDlRwI2zVr2H7f803d02X8sYNOs5I5HFa+4UrE86HLk5CzXXx5yz1ND4nGDl1/ls3fHiGHc50uPKEgEh09p2g2NFjAYSowVJMYSxYA0aN/Q6VuarYgdW8a88soBr78xZq5Z4/zyFEurdVa67tisdAWdPnR6MZ1+TKef0BlYlgeScz3BYi/hpfsu8DM/sMB1e2osrMyw0m3Q6Qd0eh69oaY3kPSGgKiZPZdeY/fsufT9l1166W8vLC6El19++TcbUsDfEIDHcSTH4+Hbvv7VL1w6GCYffPTRh73hGMaRZTg2DEcJg6GhNzL0Uia/MFCc7iS8/MrzfOAHFrnxEo/V3hQLKy06/RqrPZ/VvqbTU3QG0OtbuoOYbj+hPzR0BpaFvmChD1Ey5rrLhmyeTegPLG9+2Zjdmw1xItHSEkZw9xM1TlyosWUm5unDNTANrtiuuGGfIagNeOTQgIXFJlfvbtKeXuFrT3rcdFmNpcEqKyttNm+2PLhf8fdf1+eh/ZrtGz0W+x1Wlme54coBX3s6YbY+zdWX9rnQ6fDgs9PUdZMX77NcvnMEss8TRwUbZyPOL0Tc84THKFJICYmx7N4S8vqXhfT6iq0zhhsugzBssNxpsNwJWO17dAeKTl/S7UN3kNDtJ/QGCd2BYXVgWR5KTncFnWHIKy5f4Ke/f5kXX1bj3PI0nW6dziCg23fg7g8V/aFkMIL+MKE3iLnpppsihP6xd/ydtz7faNQ/63ue+WZj65ueyQzDPnE0/J5TRx/+xQvnDs2ePbdCLZAIKRDCggWsxVqLRZC+gBAJUioePrSJn/yQxzteucx3vW6ZPdtCzi21Cfw69cCnEXg065peXdIaekw1NYNRQn+YsGlsGI4tvVHA8kKNUyctYWw4fS4mCCwg8JVFS8FgqBB4xAPNi3YL9m617Nw2YJz0+MJDiueen+ENNwbccOUKv/sFiy8a7N424MmvKbZNK+bbA2qqThh5XOhBs6bZvknw+HMhN1xe57XXL/I7tw3xvRbf9lKLFwy488GQzz/Q5NmjdS7Z2mD3loQNMyF75iOu2Z2glEErdzwaQcCG6YAw8ugNfJ4+5NEfaQZDRX8k6Q+hP7L0B+6z94ZJaVWEhYHi/IqlMdXhR968wN95ech1e5qcXWzT6dfp9n26Q4/+0P2fg6FkOCKVcWCt4P6vP+Q1W7O/ODO3cfm1r37pv+r0Br8z1Wr87wvw8XgAVnz/8efv/8DBZ+6cDQd9mjUPJSVCAFYAClv6HSEsMr1rmeBLyVPPz/PYoQaHzlzgHa/s88qrRky32ix3GjS7NdpDn/5A00tP9nCkGYw1o7FlFBrCyBJFljhx9zD2sQakEnhaUPMF0y3BTAs2zxu2bxowP9Phi4/AvY95SDPFG270eNEVPe57NiIctXnFiwSd4ZALS01efrlhfnpAXQeMYsVCN0IZwYsu1zRaYx49UOM1N0zxsut6PHpAgZ3ixqt8/vFbl/ny4yF3PNRk/4kaOzcoNs/WmWk1mGpBPQBPW5QEY2H/UUGSCKJYEMYwjhwAR+OE4dgwGhsGI8NgbOgPoTuGhb7kQg/GZsSt1y/ztld2+HvfZojjNueWmnT7dXoDv2DtkWIwdJbpMD1+43HCODIMxwnnFs5y9sIXZ6PI/Odvf9NrdL8/+K1m85sH8m8awEeDFYQ1//jkkfs+cOzgnRuTqEuj7iGVQQgQQiKESO8qfQQlDVK4LKJWFq0MdU+wMKjzsbu2c+djXV59zSrvu3WVa/b0mZtusLTaoDcMGAy9FNjK3UPBOJJEsSCO3VJv06tJSYvWUPOhUTfMtiK2bRwQ0+fQ6YiP31PjyMkm00Gdm67SvPzaLg8e7HD719u89LIaO7cM+IO7BEoEtFsRq/0xxoISsKE9oNvzMXGdt736Ah/7fIO952u85aUDwmiJe56aI0pqvOSqjbzlpi6X7ehw56MDnjzZ4ImjPttnJbNtQSMQ+J67CKVwF7+xYIwlitOLNbKMIwfEUQjDEHojwcpYsNwDoUdcv2+V971+lVddlTDfrrPSbdLp1pxDk7J2f6QYjCSDkWQ4hsHYMhobxmHCaJwwjizjECyKC0sdPv6nt2+MYvuBt77pVfbC4sqHN87P/O8B8PD8f+b00uWsnvvs946Gow8unN4/r1mlUfcIoyRlZ5ASpBDIHOgSJTVKJkgp0uXZ4ClLoC01LVgZKZY7M3zi7iYPPN3nFdet8r5vW+X6vR3mkjpxHDAY1egPPYZjTRgpolgSJ5LECIwVCNzqEPiGRi0m8EN8b8zppTG3PSx5/pTP0VMzKBOwd4vPlXsUN17RRQULPHW4xbbpBldfAps3rLDcbXPNNklsLF98KGA8kEw3Y974khGfvSfixLkW+y71OLs64pkjHjs2zXDdngXue7LH154RjEOfK/bMcsWOgCu29zh8dpnnT8NDzzU4dKRJQwsCLWkGlprnjpkArHUXa5xAGEOYCPpjQXck6EYQmhhjR7z4si7ve32XV1+TsGU2YDiaYqlTo9cP6I98BkPNYORYezhyCabhOF0VwsQBPEoYZyth7OKmKJGcONPho5+4c+PTz5//YL3RjH/9I3/+u19+ZomP/efv/dsL8B/9uV/H2/hp6l3791R08pej1fPTde2hWh5hBJ4yKYgdgyopUQqUFCgl0EqhVAbuBE8LfM/ge5bAszT8hOmaoDf2WOnO8Ml729z1xIhNMwPec3OHK3aMGA37XL3HsmOzYhx5JIkiMRKbgVsaPJ1w/Lzl6DnB6tDwmfsanF6cwYYeMzXF1jnNrs2aS7bB1Xu7GLnIb362yfLyFC+9QnP13g53PiEQscfGGUmzETOIfKSVYCVK+3RGgvPLgqtsg5tv7HH/o3W2zvu89OpZ/tFbF/ntz/d46ECT/shjabXFnq119m0Z8JLLe/zd1/Q4s7zMZ+4LWBoEHD/rcfq0j6cEUkoErmQhMRAZSxIbZuYirr1qwHgcccWOMe+6eczGKcVsKyCKapxdqNEf+gzHHoORTkuMFcOxZDgWDMeC0Ri3EowTxqFhHBpGkXXPUwYfxRDGgnGsWDjZ5dGjD8xv37X1l1923aboY//5mj9cPP6fmd/1r//2AfyffeDjXP2a94jv/XH57s3Npz/0nlc+0bhiV51Or8lwnDCOPPTYQymDUhqllLvnQJdoJdDpo6cFnmfwdYKvDTXPUo8sjdAyVUuYqQsGoaQXNjl6qsnP/+EsmBgRx9x47YA9m0PiGIw1WOuSOFIIpBJoz+fACZ/9z9do1jQtXzLfEGyYk2yc1WzdoNi1JWHfrlUSscSvfKrN8RPTvPRyjyt2JwzjHl9/KmC67jE3ZZluhTTqTgoZI+mMFMt9y1InodOv86qrV3l4/4DnTiim2zVectU0P/C2Jf7Hp+HR55v0h5bVnub8cpvN8w02zozYNTfiR989oN3o8ORROHBS4nkWpSxCGMAF6NZCHMPuzQmvuCYmiTyiOMDaBqPQ49yiA/VwrBmFKpdvw1C4MuOxYBTCOHSsnQE7A3cYWgfyCEaRYBzBMBb0I8FqKOgOYjasPjb9HTfOfeiXzl+IB+G/+sTSsSk7t/uH//YA/Gd+6WNctaOt7v7yR9957OTy7370gZXaE8+1+eAPdbhse0x30GA4CtAqQYdeytA6BbdyWltbPCUda2vByFP4nmTsSYLQacB6ZBhHhjC0tGMYR4ZxyiijSDJOAqKkxnPPN3niOUisxUHbaWNPgq9czUcrgKu3QLsOU03JTEsxN63ZOAs7N4/ZsmGVyC7zK5+a4vCRKW64RHHJdsne7St85ZmY80tT3LhHMtM21PwhgQywShAnEmEtcRKy0q9xfsnjhivqvOjyHvc9WmPTjKBRa3HD5YYfeecSv/xpwzOnW6z2Das9xcKKZn66yUy7zkx7inYjYkMzYtcNIYEX4+kYpZzUA7C4iyqKFBcWNFGsiGJFGCnGUfoYSsaRZBxKRqFkHDqgjkLBOMwY2hCmj+PQpoxtUmA7cI9SYHcjQSeE8WjMi3Yu8Z9+6AI3X3G2sbLU+N2QD5tRsu9Tx579aLL7qu/51gf4L//aH9Fu+eq54xfedf70md85cOh4rdae4osPK/wPW376Bzrs25a4EzN0urpy1xpPK7xQ4SmLF0l8LfAjwdgTjH1FGEnGoSGKLGGcOFckLt0TiBNLkhgSg9PbhhzcLngFLcHzINCCWiBoBJJmQzHVkMxMCTbOxuzaPKDVXOVT94fc89Qsq4ttrt2p2LXF47IdIxKxyhcfatD0NBtmFK3GiKcO4zrud1gGY8V1l0Vcu9dy7mzCworPcNTgTTf1+OqTQw6dVjTrksBvc80lhp/+3iXufmbIZ++eZ6lr2bUxYaWjmW4rppoerYZHs26pBYbANwQ6QSsntaR058BaXMLKCGIjiRNBHAuiWBLGgiiSjCPnvISRIIwsYQjjKCGMDGGJOMaxZRxmwWsGbBhGgl4k6cSC3jiBaMANO1b4D9+/yBtuFKx0p1npnqglavr3rG7+w6Gc+5OnHvp4cu1L3vutDXBPWbm62v2uY8dP/dqhQ8dq83UPKwSJbfLnX99MGCq+8+Yu776ly9xUTG9Yw9MBWvt42qR3he9pfC9lG88xTugLwki4kxMpohjCSDoHIS5svzgxJIlzFxKbOiWpWyKEQEqn83W6OgS+pBZImnVBu2GZbhk2zY7ZMNMjtqt84quS3/78HBtrNa7dKdi5xWP3VsOuLSt86uuW5eUaV2xWzLSh1Yg4f0xyYSXA3wPjSLBhSjI9DYeOWla6hnOLNS7bXeN1N/a47d4acy0IfB8lp7lmr+AH33IBT17gz++b4dnTNTZ1IzZOx0w1Fa26olGX1ANN4EPggdbWgVyAFCWQ4y7sxECSCOKEFOgQJc7PjqLEkUKU2qexIYwNYUTuyIwjVxE5jgSjSNCPBd1Y0Asto1FIO+jx3m9f5D2v7fO66yWrvRb9YZ1xVGd16XhN1/0PeXWthfT+CMcz35oA/70/+jOSxHzvcweO/JeDz59oB54isZa2Z0msYJUmX3xY8fWna5xbWeSfvrPHbDtkFDTo9mM87eNpD8/zCEOD7ykCTzlwRy6V7hhHOCZKWSmOIUogSZyTYIwLuIyxWQ9nCm4HcBfACjztAFILoFEztOox062YDdND5mdWuf+5kN+7vc6Bo9PsnvLYuxm2b/bZvgn27ewyiLs8uL9NXXlsmFFMt2C6NWZmKsb3NUK4i2s49lnuRqwOLJ1+zIUVn52bW7zsigvc/tCAA6fbNIIIT/kIMcXebYp/8G2LvHjfBX7v9hYPPj3NUl+zsR0z3Yhp1CT1miLwBIEn8TwXqyhFah86lLucmXWrVwr0ODHp6pZai7EhTgxh7EoAotjmK+I4hjCCcezkyDAS9GJBN4bhMMHEI+bqXd7/nUv8X981oObXWO02GIzqjEKfMNJYPFYWT7R1Xf3K5m1X+k889NnfftFL3vatB/Cl5Q5Kyu//8Ec/9YHnj56a87Sr6fA1NIzF5QkFHVmnM5L8lz/22H94hbe9psfNL+qyaX5Er1dnOA4Yhz5jTxNEmtB39l4G8CiShLFbdqM49bQTUuuPlLklxlKA2/3xlLlBK5cw8T1LzTfUazGtWsxMe8yW+S7nOwN+9TMeX3x4luWVJpduEOzcKNi20Wf7RsGerSO0v8rH7tEcOdnk8k2SmZZkqpkg5ZjTC5ZAS6RwGb8w0uza2OUhEroDxUrXcn65zuXba/zdmzv8yZ0+x84HeDpCCA9jm0Sx5MY9K+z67i5ffHTAH3xxlkeONdk2I5hvJjRrCTVfEHgC33Oxilap1SpFXpNhcReZsTinJXGAz0AeJ07SOR89BXgax4SxA/cwgX4k6cUwDA3xIGT7fJfX3rjK21/d500vNmjRZHm1zngcMBz7jEKPMFLEscRYRb9zas5s2v7Ba1/8d9R41PmtoPbXM3HrrwXgS8ur+L7+R7d94Z4PPPzo0xuNcU6IVhbfumQEDmNIKeiKgO5Y87GvBNz9VJMb9nX57ltdFdzcdMBwFDAY+0SRRxh7hJHOA6U4dl52lGTaUpIkgsSIQmsbQa5KrGNuKUAp5zp4yuB7hsBPqAcxrfqY+ek+w2jInU9ZPv6VKR58epoZ3+OabZYts5JNcz5bN0i2bwq5ZNsKTx4b8pmvbmBKaTZMCdpNQbvhaqs///UaLd8ihAPWcKx52yvGfO4BVxPT6RsurGi2b2zxjlf2efC5HvsP+TSDGCWFA7lpMAqd1v8Hr+tw+ZYLfOzuLl97dpoTK3U2twVTNUvDN9S0wfdAK4GSWU7Bfe6s/MikUs2YYoWLU6A7goAoEURJCuzEsfYgFvQTXMwThjTrA977hmW+69u63Hi5YeOMZjhssdoLGEc+o7HPOPQYh46Y4iS1ZIXl3JlnNzYPbfrAnstfbYaDzkfqjb96kP+VAnzQ77C43MfT8nvuvvu+X/jSHXfN9Xqr+J5j00otCS7zpqTAl4KeVPS8Jqe6AWceaPDAUwP+5Nou73rdgDe+YsTctE84DhjHHmHkEUVe7gjEiWOG2EiSpAC4sSlzm6KmTAibZ0SdO2PwvYTAj6gHIa36kIQhX35U8od3TfP00SlEFLB7xrJl2jI/rdgw67N5XrJ1Q8TOzV1OLvT49c82icd1tm8XTLc07Sa0GxHCC+kOm0y3LEIIrIUolswGitjE9CKf3iBhpas4vVDnqkta/NB3rPLBPwo4vtBEqyi9MDRxXGMUSjbPBdx4aZdrL+nzzPHTfPwrdW5/ZJoznTrNQNHyoelZfG3xFGjp0vlCVKvrDGCNu+gSI0gsxIlw/nkiCBOXJBomjrWHiSWOYkwUMlcb8KZbV3nPrT1efU3MVF0TRq7seBz6jCOPMGXtcagZR9nK68goSQSDpS7dh+/Z2B+qX7h0303x4sLZj0pdZ3Zm+m8mwIfDIfOzzbc/+eRj/+P+++9uR6MerYZ2AZ+x6QF2CRWXMRQuJS7Al1BTgr7yGcSaC+Maf/5Ag3ueHvCSO/r8s+/sceXOLhunFe2GJox8wtgjjnUOcgduSWIkxkqsdZLA5gElSGFQaYpf65jAj/FUSHcYsdCN+G+fqnH0wgyP7p/GGp+5umDjvGV+SjDXVsxNe2yak2yei9m2YcDc9ApffMzwyLPTXLtdMNOStBqSdsPQrIcIb0wQaLRyf99aSBLJcKwZjiJiI+gNDb2+ZbnrcW6pzcv39XnZVat87I4a9WWFlpEDpNXEiU8YuR7P+ekaL97b58WX9nnotWc4viD5vdunubDa4NRSgK8kTU/gZzJMusAzJ/JMquCYPLaC2EBkBOMkTdoYC0kMcYRUY7bODLl2lzsfN12Z0K5r4rhJp+czDv10hfVSMJflpMrlpIuTBFGiWO72OfmVu+c6ffU/XnT99Suj0fAzf5WY/CsD+BNPHWBufpP6+Mf/+NJjR59vd1Y71GuaMDLuoCZZUOeALaRFSouKU3sutgRK0NBuGRx4AcPYYylscPsjU9z/7JBmMOYfvrnDjrmYXVuHvPzqHlq4FjEhnFxxWUlXK+3a2FJwYxHSooTzzC0xyJhnjkoefk5z24MtnjnRIowbtLRiQ90y27TMNKzzwdua2SnN3LRg82zM1g1DtmxY4Z6nx/zmbRvZMq3Z0IZ2U9FuClqNmHow5v6DilGo8ZoOVNYKwlhS04rrLx/ywFPTrvBpmLDa9VhcDTi/OMMPveU8pxaXeODxDXgSEBEGiGNNGHmMQ0l/qJlp1ZhuN3nZ5QNee+2A775lgedOGj73YI0Hn6tz8EiTWGjGY8UgUqhSjQ/kxZouJ2ANsbFYY/BEwpQfUiPiZTf02bNlxPb5iPe9cUzdVzRrjrE7Pd+tqLEmjHT6/lKvPZWPztmSqawUabxUmALdXpfHHrmv3eueu/Stb3u3Wjh3MNmw+a+mnvyvBODPPvssO7bP+/d/7aHvW+6M/svh4+fxtXQBnHYHUgiQKWvLFORKpCn5xOJJgZdY/CQFeiIYaxgmOr3X6PUSfuFjM9g4YtOGEVftHDE3FfOu1w3ZuTEkikSqtyWUmJtUf0ppEFLwybvrPHm4idCa42canD7foFZXTAWC6aalXTO0a9CqC6YainZLMdPSzE3D/HTMprkR2zZ2Sewqn/xqm2G/yWXbLe2GotWQtOqGVi3G80K++ECN8UDibXTdoplEadYVb3rJkHsfM/THkv4woTvQrPY055YaXLmnxbte3eXRZxocX26hpAGiVC97RIlzk0ahpD/SdPo+rXqDZn3MldtHvHTfiJMXOhw7u4r2Ep44ovmTrzQQyhWuIWT1JFoDGLCWKEzYtSnmPa8bMt9O2LfLsmkOkthjHLaIY4+Vbrp6Jooo1imAdRET5Y9Z8J+ZAc6ajBPnfBkjqAUKkmXqXvRfnnv2kUFr5pLfPnjwufDyy6/4mwHwc2dPsbq6ePmpk6d+9eknH5GBp0p6T+TJFCkEInHLpJIgE4tKQCcQK+seE+FAnlhiI2glljARjI1gnHiMjUdsYKHf5itPGiwJf/agG9mANek9y+KlFllekSiRShFHGmk0npa0AtizwdL0DI3A0AigEQiadUmr7uTQVEsy04a5qZgNM2O2buiRsMJ/+9Ma9z21kb1zMNNI2bshadVjGvWQZmNIvd4gUBIlUw2OkwNR5DEaCobjhN5Y0R8ZekPjWuaaPqfOT/Gqq8b8yLvP84t/ojmxGiCEwdoIk1ii2COMJKOxR3+oaA01zZpPo16jETSoBRGtesiNl4X4XsRNl8W879YBWsVpEsi4evuyKE8lnTESISSBpwCf0ViztKJJkkwKutUyTrK7JI4lUaIceGPlAtRMjiQFazsjwGn8OEldLuvaA+//+qPyqr7+1Y2bhl8Nw9HTfxXY/F8G+Oe+8MfgRfWTJ4++89SxY2K67RMnAmMMSWIRRuZyJJYWKSFO7TmVPo+Vi951UlTBxUka1ZvUzzaC2FgiA7ERREYSWUliNJEJSFLbq3zLs5QCtBBOCimo1S01bamphMCDQEPNt9QDQd2XNOqSRk07gDcF0y3DbDtmbnrMxtk+Wzcu8Zu3Gf7g9k3smFbMtwztpqLVUDQb0KgntOoRZ5cMh88G1Hy3UkFW6ScYhZo9mw2b50d0Rz7DkU1ZXLLa07TqNVqNad536wWOnD3Hhz6zDS01FkNiEncsYs04VAxDVxQ1qEkaI0098KgHCZ2eizF8L8HTCZ6XoKVrlJDSpfNFenelK4JsQoExgo5JqyyNi2uSRGKMSi1YB+rEuPKD7J7EMgWvc7Ti1ImJS4mlJCWyOLVxs+zyeAz3f+0xcdWVC++88ooth//8zz86/I7v+F9L5/8vA3xxJfDH51Z+YnXp3E9oxrIeSMLY+dAylR+xSZsUpCWRFiUticrY2wE3SUHtPmz6dWpf5a9lafa0Us55uSIPlMqaG0gzeW7F0NKg0xpyT4GnBJ62zjfWglogqfmSeqCo1xStuqTVsEw1E6ZbMbPtMfMzA3ZuWuLBg2M+dvdWZmoBm1qGdkM4cNclzZqhWYtpNcY8eACeeK7BpRtsXs+epc2HY8VN+yyX7Rzy0NPTDMaW4SihP9QpyD0atTr12jTvfc0yTxy8wAP7N4NVGJM4IogtcWTzepLhWNMYWeo1Rc03BL5H4CcE2qB1gqdd+YNSxm3BIt15QbigP6OFIjgX6fF1IDdGpA6VA3b2PM5s2SQDuwN0ni0tAzx1aZKkAHecJuWixNLpDmS/e/r/jsdT/vZN0z8LhN80gPf7AzkYDn/qo7//h//qwrlFf37aRyk3P0oIV51npEWYFNTGATxJnyvlkgs6TR1nwHYedpZ9xLFzCnKTZuKyZIVrZaN0eiYBXiR0lEwzlgpXjahdw0DgSQJfUQsU9UDQqAtadUu7kTDVjJlujZmbGrJ1wwoPHBjyU7+ziROnprlk3jDdgHZd0awrmjVo1hLqtQjfG9EZuWIxT1mkLN5ZxnpR7NOuRwxik3fIDEYJvYGkU1c0egG1oMXuzRE//X0d/sPvSr6+fxMWhbGGJDHESZym0hWjUDEMJPWxouZLAt8S+IpAGzzP+f1a2bRiMw3yU5kihK026Kap/eyCzFg9q5vPnicZYI3Mz10O8Oy8Jm7VrZBYUiKtNMmUJJYgkJw6vepvmF/9sbe9/W3eeDT8d0Gt/j+dzv+fBvhw0MXa6GefePT+f9FbOVNrN3ysdUASKbgS6T6gMiIHdZKytwuW0g+WgTdxr2VpZJN7tGCNS++btAS0fGcC4KnsTgNL0mBWoJSzy/JyWy0JfDcAqBa4kQz1wNKsGVqNhHYjYqoVMtsesnXDKg88N+A//PY8B07MsmvWOSytuqTZkI6965ZGLaFRi4iSkN+/o4VUCk9alChsQmMzpvP4B29Y4UuPhPTCgEEK8P5Q0esrOoGm5gcEXpt9O2J+5h8v8e9/W/C1pzdhrCQxLq0exa7QbBwaxjVX7hoEgponCHyX2fS1zTO2Whmkct64FBaRPZYZIj2gxfEWubzKAG5KhWtZYi0xYHL5UWJrsxbYJj//Dg/GuNV2FAY8s/9UrTl177+8+eabRafT/cmpqf+56Vn/0wC/cO4I1tqXnTnxeL1dD0FId2wsJFIgDSiTgtyANAKVCBJlq2BWBbiNsoX8MEX7lQO6cHUUGaizfuSJ91UEtCCkc2pkib21zupOJJ4nXf2GL6gFbuZJI0ho1h24282Q6faQDdMdHnxuwE99ZJZnjs+zfUYw1yxJk5qmWXP1K/VaTD0I8bwxp5dm8JRASZPackWQmSSSOFZsmbHEcUQ3qrkex3SKQG8kqQ8UNd/D92p4eoortsf8zD9a4N98GB54dmMqDwxRYoniJGVywzgw1ELJyFe5BPM88HTW5iddLkCClDYlApsXZk1g3IGbNCmUFmxlCbSCiATlSs0M1GYC2MaSlgdUgZ2YUilFknBusc9d9z5U37Rlx8vkpOPz1w3ww8/eRt0fNB576A5f2WWmmsLVMhh3MFTGwlagsg9qIVHuqjbGSZek9GGNTlm6IkNsWiBVkiMZo1zkvUlRFFFJ6UoBMnAr6WZtF/IEah4EvqFes9QDp58b9Yh2I2S6OWR+psMjh0b8+9+a4anjG9g6rdjQNEzVBa2apFFTNOqCes1dHC7VH/LAfkF/5FNTqWMkRdpIXQSaUaxp1hQvv7rHg8+0GUROpgzHCYOhohcoAl/he36qn6e5cofh537gAj/+G/C1/RtdsG1M2ixd9GCOfUngG8feaW2Kl17c7k4qUyi1CFrERUGeHXeRZz+df+6AXl5ty8VcOVmZ8ursit6yr00OdHISixLLam+Z3/79z/jvePubG7/7h7cNvvfvvfWvH+Dd5SO0ZnZMP/f4J39d2sFrPBVT8zVRXAJy4h6VASNJ9Vr6fUVlaTNKuBLWSdYuAdrkwLY5c5Nq7/xkiNSOlIX+z8DtAA4qrRj0NPge+J6h5qcFVkFCPZUXrfqYqdaQmVaXx58f8+9/a4Ynjm1k87RmQ8MwVYdmTdCsKxp1tz2KY++EWhDTaoy45wmf1U6NmZkiTZ4BJgvWokSxcU5x64v63POwcV00oSmBXFLzJDVP42kfretIabhyh+UDP3CBH/8Ny9cObCQymiirAExszuRBJPPqQl9LtE6LsKRA6ezYkL+/7CLMpIrIqtIoEkKTd1N6zEBegJaUrByYbVquXPl+idBcOTN58ddgbBCd4WsOHjr64R/+/nf/8EtuOrZ69b7df70AX105R7e79OPLC8e+q99fQqkannVLcKbBlCx/WBcwqvyDi4q+zl7LHJGsAKgA90WYO13Osoxcrr2zZmVZ6O6sYlArXH2Gtnieayyu+Yaan1CvxTRqEc3amFZjxOxUh0cPjvmJ35jn8SOb2DjtsbGRMNWwKbhT9q5J6oFj/1oQ0whCYjOmFwYIJfEyBs81uEiZLvWOI4+mP3LlAmGNmQzko4SB7xg88CWe1ng624DWcs1uywd/+Dz/+tcMX3tuE5HRjBNBmJiUxQW1yBB4Ft8T+Nqkq5dr+VPpipb1vGaSTpbiFxDFhVmOdSbAnZNQiZgKeZm+lrF4SXbmpbulxwwbcWIRCC5cWGL/wWPfdf8Djx0Ox9G/+Wtl8PNnTzM1u3XX1+/+yLWdhQXAcwVTyiFMGosqBSDFhxQlMJev9qIAf5INsqBmsp6ksLptwdrloDJbbtMOHZUGU67lzQHb1zavHqx5SaqbI+q1MTPtAVPNHg/sj/nJ35znsSOb2DCl2VBPmKpZWim46zVnJ2bgrgcJNT+m3QzZf8xy96NNfCnxlOusKe91ky3lUaKIjebmGyMuvaTP4RN1NjRgFFp3HycMRikLa4XWXtrG57zrq3fBz/3gIv/mNwxffWYDo6jOOJGEsaURO8kSeDiQ62z1Mnlvq1RJvsIpKUoAFyWQs0avFCAvEY8tr7oFYG0GYEsuN5PK90ord/YzJUz4vub8ubM8+MAj1/7ov/yBXadPnT6+bftffLvDvzDAl5fO0mi0dx87/OAv9bqdtw+GY2qBTE+eYxUj00AwB7SLuN2VLQogm4klLTtIRhQAZ8IlWeOWFCUAFXALi1SUOvNdd4uXMrevDZ5nCDxD4MfU/JhaENKojZmdGrDSG3Dv0/Bzf7iZJ5+fZz4F93Td0qoLmjWRe+XOeTGOvX0H8HowJkwSRsMaNeUuMilKSz9ZtlCkgaZ2Wl6PGYeWYSRKADf4foLvaTxPuqkC0ssBjoDr9gh+7odX+IU/ivnac3Oc6bQZNSXTiaUVW2rpxIHAs6n3nzkptphYkEqVDOD5+03fdBnnuSZPT4rNz5WtsrmlCu6UxTOAZz+flH6uLHWy/0tKwXg8ZGVl5e333Pv15MYbrvuXJ0+eObZjx9a/WoAPu8eIx7WX9paffeewc4Ba4KGlG9JjASvLLkdmJdl8SXZAn5Qj2fIl1pUiZYBnh7isCrOT4MY9ZOxtU3li06pBx9w6bX/z8/JYB+7AT8E922dhZcgHfr/BZ76+gcX+DBumJBtqKbhrTnc30sCyHkgagU0Z3GnvWhACIXc97rMS+cwFVOqxEeUl3enwMNK0A83rbhjwwIGQXhQwlTb2jkKDP3a16r52ANfKoqSHkC5Bg4Urdkh+8Z91+dwDQ372I5s4tTjDcFoz7QtasaERQxC50cu+cgONvCzQlCIPgrPHcqBevjCzc50DvXSeyM7lGrCX2L0E+MqKbaoXhim5ZMI1DfDgoweZmtn4Tuk1fr/fHx77K2Xw8WiAH9QvO/78/f98+cLTtBuAMGkGLPvEJfbNmDi1lDLA20yW5BdBKj9M8aFtlknLaKLimGS6m5xZsnRz5gKoDODKoqUDtlZZb2eC7yX4XkzNjwj8iFZ9iNYD7nki4cOfb3PbfRsJTZuNbcF8zckSZwFmPrlK7yJl7jJ7R2g95v5npxmEmi2N7P1MMngWi7iipJqneNmVQ2LjAD6MRDqKwXnbo7FxwaFOZ8Nk9l5eYS+YnxZ81y19WsEZPvL5Ifc+O8e5qM6gJmnHlqa2DuQ6jUOUTeMSm4Lc5sOW8tpxCZKCxSd3FCyDPAv6K+RkXAdRzspMArosbaqgL99iAXGiuP/Bp3nRtZf/87e84VWP9fuDQ3+RkXDfEOCD7lEOPXMntfrU1qWFQ68dDTrUawohk1J8XaTJMyDnAEbkDJ0FkTljIyqMhi0OUP5/rpOizJoWCmmSZeVcxaCS5JOvMub2lKvFCLwI34+oeSGNxgjfH/CHt2t+/qMbObwwixfU2NwSzAYJ7cDSDKCZdtjXA5ftrKUJIVe/kqQrgZMni92EfujjK4UvbR5gZu/fUlzkWWo7jD3q3ojN00NWBy2GkUjHrblYwfOS1OZTqd2pcv+6CFxd5ePbX93npqsW+LnfG/EHX9zActxkEHg0PUlbuxqcQIOvyJshdJb0SVc+mUuVIsNZ0eQTorwK9KzBmepqnMkSJmTpJPjXxFrZ35YsLa/y2BP7X2uSeOvKSufQMwdOcPW+nf9rALc2Yd81L9u9fP7Z3zx/7ElaDYPSNp+7UfxcUb9QMHGJrc3E9zPGpxRElkB/sVt+wHPtXwK4tG52YYW5kxTkMb52kiTwxwTekGPnYz70uSaf/uocR87P0G54zNZgJkhoBTZNvWfglim4ZZ4UqqXaO/DdhdNujvnU/ZpDx+vUlHAZw8xBoUB5PsbBOh0exZordsFbb+rx4S/M0W9o2pEbqBOEadygDFrLdLIXJZB7pZPgVoWd85Kf/PsDrt1zit+4bZYj56ZYjusMPE1TCRop0H1p3YWTukz56lcan+fKnEmn/Wbwnjj3pScVicIEo1/EXsx+xqxrJrib62dV3Hn/fq688srfvOWWV795eaXzDaXKCwI8iSOk0qyce2B7f+WpvZ5cwG9kB7RQwznAKckRK9aC3hbSJWP57HfKH8qmJ6tAta3owAzY+aTZrHlCmtQ1ydjbzVvROibQMUEwxtdjeknIr37C5yOf28zppWmMqjM7pZj1LVO+oZEydyNP38u0TiWVJql3noPbd9nLcRRy6FRAPwyYCVIXJ0s6ZQyYXci2VJMSadpNzZ7tISoY0QtbDH1BPXIzSPxUXnmpRNGZ6yHURYJXxYapAT/09gHvvPkcH/lclw99co7FYZOhrlHTioYW1JUliK1jc+mkipZFeUOW3ZxkclhHrpQAOanPMwavsrqoArzE+mU8TcJ15WyXrz703N56o779za+78dg4jAh8j4vdXhDgJjwFXmuDH/CJuHef16zbfJnJGMOWHtcAu1yZZrLinYytC3AXwBYTmjtLOpQOblr5prIUsyiD26BU4gCuE7RK8L2Imh/ieyGdUcj9T0r+8PY2n/zqHKOkhe/7zPmCad/Q9C2NwNLwC3DXAkkQSIJUmrjEUOpMpAD3PZf5PHrWcu8jDcLII2jaNQFmflxzDe6q9MJI4XmaW2/q8bEv9zlwqsmw5ua9jD2LH4MXGbzQoJR0vrV0g0nz4T45uaQeu5E0As2m6SH/+r0Drtw55g9ub/Hw/ikWhk1GysfzNDUtqEsIZGqjZvaqzJpTqNyZBHr2j60COzuf5XjK5Ew9IV+yVZ6qgzZZjuFWPo8/vv1J79ZbbvrEmYXVFy2v9BdeCMMvCHDpz8mw9+RLR4ufnaoHXRLtkdiiWyZnZyZB7XR3Bvq8kL58Qdhioct+dr2bSAtcZAb0PKVs8nJPp7stWiUO4CrJ5YjWEZ1+xH1PC37nC21uf3SK5U4LWa/RqiumPUvbNzQ8S8O31H1S1nbMXQ8kNV9R8wU1n7RCz6TgNgSe099Kjzl4Ck53ai6xkurbauKkOGGuD9KBPDaSMNRsagsu2zHkqRMxg8hLh+uAH+LAp5JUomSJGpis08jt2dSGjBJXH/6eW4e88SUr3PlYj9/9YpuH97dZ6jXoSJ++r/GVa/4OpOuP1dLtUpfV8kjhpIso5R4ybJfZvBJDlQBfBrTJya0K6NyAoMroSYntYwu9QcIv/8FdU//ku2556WtfcvkXeIHhQS8M8ORo4On41+LRkaanYzxt0tJJmV5xoiRBqvciiMxYucrulAE+UcddBbjNH8sF+k6WmFRzG5RMUDLBz9wMGbHQi7nnEc3n72vxmXunuNBtImo1vJZHW8OU5zp56h6p7IC6L9K7TEtOU93tC4KMvTOA6xjfj6n5IdZG3PVowPGzdeZnBZ40qY4VRaNvjoI00M5LThXDsceuTYJbbxjw6a+H9COPYSSoeRY/diw+jmxplVK5X50XulGWhLJoVDDOb68HY95zy5DX37TEn321x+fua3DPky0udBoMhc/Q12hPoYVwLYRS4gmbSi2LQpSkYTmlv/5tEuC5RCnLk+yitIIke05aIm1dp7/Jf8amVqLl6edONYfj5Nce23/mSmD4lwb4SsewMhz+vXj1I9Pzs8dIIp8onWthjEq71oui+OygToKcMqvbTIaUlq6LHJ4M/rksyQFuUjvQIFKAa53g64haLWI0TjhwGo6dUXz8jim+8HCbCytN8GrotkdDSVqepaUNdc9S96DmOXDXPDeT0JWZytJdpN+3KchNDnLfc+1ph88YnjoagOely7wtpegrFkSFvZK8McCNc75mz5irtvd57nSDYU3QiAVBZBkrUmvPpOyduSmZBVloldxnT61IY1Q6fcBjFHrU62O+901j3vbyVb70SJ8//nKDY2dqPHe6QbgaEAeakdZIJV06H9DpY8bkMu2UElk+4i8AcEsqodILMSkBP7EFuHPrEJPWH6VrnjFph79hcXmFp55+lLn5F7YKLwrwhZUVEUbjH/mNjx6YvnSzz0svi7jx8hF+IJFKkkSKMFTpsqIKYBtZArSoyhabQrcSVK49NI61bR5QuudZB4rb4UHJhCBwk1TjJOHcEtzxFc3hU3XufrDO6ZU6h880IQhQDU1NK5ra0tTGuQheOjjfc+PaHIizu0zvKgU4qeZOwe0lBJ5jb3dhhRxdgP3HGniyag/mEoWiHrycLzA264pRxLHHVbuGXLZxwNNHYgaxRytyzdd+7GYCqhLApRQIKStMDoUNV9T+ZPXnrocySjzGnk+7HvIP3jDm1dd2Ob3S5a6HfI6cDPjSow3OLNVIhh5GaiJfIaR0K4VI/x5pxhNR+XxrAE5VtlR0ePpNN20rA3JmoFsgSRtYXduPUDFSxbzkihEvu2zIzVfeOX/r63/sn/+f33Pog8K7bF2Ve1GAf/DDtxHHMZ/48z6YrezZMuSaPSNee+OIq/bEbJmJ2LtrhEYSh24cl0mDJotcI1kyYJcdkvUZPGOEQo4IkbVYOX3tBQlRYjlyUvDUEcUdDzZ4+qjPs0frdMcB4zAAz0e1Pdehr6ChDfWSDxzorE4jK5t1deFBKkt8X+H7Mr0AbKG9vSQduu90fs2PsCbk/LJkbAO0lvjprJfMZpsg8Bzkia32O4axh0CzYTZEqhH9yGOghXM6oqJgTCtTyUDKLPMFkA07wpFNzuRZz2Qi8RKVj58YjH02z4Ts3BRx4yVjhuGQf3i0w9PHfO54oMZTR2scOVEjihUECisVRsjSh0t3lq5olaIAruSUVy0ScEDObaWkZIqnHf5RgraGvXtCts2EXLEn4uYbx1yzO2bXZpDifDNavfO7IqE/+Jdi8P3P/hGHTozUBz58UoS2ySjyeOJojacOh3zpwZApL2bntpBr9o15401jbrkhxJrEzfZr4WpkEWAEcSRzFs/lynoLmi2xtXTzwIWwCGmIQstg5IB/7JTkj24PGESKx5+t8fzJgMW+zzjxQfugPFRb4UtBXUFDWWoKN85MpYVHyrG27wmX9CiD25P4qSwJfAh8UtfEpcw9bfC9OM2IRtRrIRdWEu74WotOL2BmSqBTL16WcLDm46ZElQeERjIeK+bnFG98+YgvPTzkRKfJ0JNOpmg3O8aLMs869dhl4uxCyrNOZP43jNWlv+GA7ieKRCtiTxElmijynJXqRTT9iFdfE/OyK8e847UjDp6UPLHfYxgq/uCOBkfPeSAkg6EmCVVWvonVZVFeJrCJD42tPIrYtTRaHLDrjQTPNwib8LpXjnnDi8dcfXnIrm0JbU8w35QkVhOGPsOxT29lcFVrx499cKX3T/71TGvtzvTrAjyKBbu21H81qC1fl0gQQYC1GmMCFoYhC72Yo8sxX3s64U/ujJifibHGcMPlIe/5thFJujvwhmnD9deMadZS1rbl63vyJvLhPJ2B4IknPZa6rmrvwf0en/1qjVGkGEWKs+d8jNBE1sMID7RGBBotJb4S1KR1Hq+CQFkCZV0NuE49X10wt5/1ZebgVmmPpsjZ2/cMvp8VaCU5e/t+hFIhX3lM8emvt1C+dnZbRX9fnMEzL9zpcDd2YTTyeNsrhnzm/i5/cNcU/bhGM9XhXqbDoywpY/NuISGyKykrQ5NVd8IUmjxOJLF2TO5pRaw1Ok4c0FWCUm6Q/kwt5hX7Yl6+L8KKMe+6ZcAocuPc/vyrAQ/t96kHgsWu4omnfboDmaokwQuHnq5isFkzXP+ikPnpxDW+JIb3fNuIF10WY43Dz+w0KBTW+iSJojf0iBOdj+s7dvZYrX/uzmv/wgzeWe3Snmq1P/hrn9534qRSbRUSIxkZTSQUVmowCcbEjE3CuU7CuVU3k+TgiYTPfsVdidZYpmYSXnpdRKtmMOsVGUwAnNR1WO0rHn7Kp9tRSC0ZG8nYasdMQuPmAmuE1Egp8aSgppyXG0iDL8FXKZhVMaPPgVwUDQ/aNQJkjcdlcDuGT8tqvYzBk9I9JtAR1oacXvQJxzWCKYmfpr2VIPeRRXkJX5MQI2fWxCjCyGOmpdgxH+KLEcM4YBgL6toNwcxqSLKElpLl8laZ/y33N1K3y5gie2pMqTNephWNSZo3UOnGAzFRnKAiN2ZCqwSpYrbPm3TFMFy5c0Roh0ht6HQEDz+lWR24YU/udIoXONeunLZZM7zsuoipaYtNnLVcV6CEG71njCaJVFpWrDBGVWazJIlgy/SYxvyF+qa9f689HPa79XrzhQF+7PQi3vmVDx44cPQWMeozEyhCYwgSwcgIxkYTS4W1HtYaMNnAnYTYGjqZfpKW7qrl7FdKS9IL3XIdKbBCYLItF0hrToUqghwpUcLN3AukSzn70qZbkNh0/knBeBm4Pe066t3We+Tgdm1dbkuUwBf4mrzE1DF4yuLa7Qnk6RjPiwiCiJOLht/7UhO0jydFEWDm8kSsYfCys5ANCXVgcycujDze98Yhf3bPkGfPt+gnHo3YbUrrqgBt0YmjspwAuUedH8tspTCyVOCV3U1eC6O1wkvcvBQvBbpLnCXOglXOgnXBvUkHByVoYRE2Yb5h+PZXWpBJbus6zfkCJJ5J1sTDxNnFKIkiQZhanCabMWncxZ+kAC+CckUYJYScvGVq04kPWhP/k2/I4L/1R3cghfQPHztLTVsS3EAeLcA3EBoYG0FoBbGVGKnT2oPyVCmTgzrxysxtJz5laSlzdZGlUkGn44WUeQuaEuALl1b2hZMCWlJ6zJpqS4VEmtIcFPI9frKu+gLgMpctgW/zljbfN6XBOTFeyt6+jpAy5Pg5wUK3htCaQFKRJ3l6vpQUyS71TDpUgJc6HWHsMdces2vzkOfOjRkmmlECQeLG23lxqsNjcmepSKGrSqdCkUWUpY6Z0siHxKATQ6IkSmfbl6t8Jzs3JKgMbIMSxWQs97dNyRAoDRNKz3MV5xP5j0pGu2w9y1RaqYqfbxJJbIrJWlEMdnCaC8f+3LfrKIQ1AF88e9ztemCG1H3X/JnNE9QGPOOAHlvn3kRWEFtBYhUGlVpC2YaqxWOB64kysUwz5rXdmQWVjnsQ7uLyhHMmtLR5jUf2PH8tJfuiFJS8wdZXwoG9Am7pHv0M6FnwSb49oZ82SWQSxSW8nP6Oifjc/XXOL9TxphR+uYaj7KAwQWaVoiMxEQQqRmM3wfYtr+xz/5MjunGNgdbUY0OYptOVLAqisoIzB7TsL2WBZpFUcdZhOlPFQqLc39RGECuBTmS6i50re8iAXgDcFkBPM8milJuoABxcvfq6IC9emSzOq4A8G4GduUEpe2dEkA327A0NncGFdReLCsC/es+dtFv1V338U1+5aXFhkbFOT1Bi853IlASdjlQLpDPoEwMx5ayTyB9zBqlcw2tTvTI9JVkiQeGAnc3uyMCuZKFxVQZs6faTz0YhlIGdz0FRuH7E9QCeBZyZ7taZLLGp3q7WkvtehO+FnOsYHn2+DtpHp/JElwqUsmyfmEC4O5lF/XQxdkHmy28Uedxw6Zi56SGdlQaDWNFQ4MXus6jETQ1TURngOJDnf0hWa+zz2ns3pcooQ2IEnhEkSpIoQ6IEcQryuFS8lpVDyMwhykCdBrtCWCTpFoal4qxMqqz1Vcp5kTLAy4lCkYPbZKPjbBGQx+kOH72hwKj2TfPbX/Oqr9z1uvtued0t6wN8qR/Rj/j2fmivH4xCNwvP2pxlY2GRFhLhmDKbB5gYURS2Z0Z+dnVmjHURgMtSJixt3kiBvrYOIhvamUmADOwZyF1zcdap4mSJyrtXCmBnzbeOvVPNrcn1dmYJOsYuwO3l1YkRgojbvhpw/9MtZKDxpXDzt/MKwtJ8lvwET2Yzy6PRMk/cac3hyOPlVw9566t7fOi2FmES0E8ktcTtlaNlUa2YyxQpUxYv/6mLMTkYLdPRDSIHd6IkShnH6FIilS3ZniWQV0omquwty6CeAPoEjVPIKFGqUSnqmXKAp8A2ZScocRpdEOJ5o+t9vfztRsb3rcvgh4+eYmaq+cbf/+Sdf//JA+exuIhY5RLDOQKJhURmTaUpW8tSBzylegPsusZJtezSVlg8A4Yq1Tzk5Zsi69qZBDopg5O3YVVYPO2G8VQV3G6cwgRzpz2bftre5ums4SAu3SNCIv74rjaJDVB59rIcYBZ9jZmzUdHg6W7EeZeTkZjULnTBpkbg8Z7XDfj9z41ZNRHDpMYwEXgxOYtLaZGxyIvOnF04WXskKaxJUQK5INFpt7tKQa4tyji5kkiLVIZYytSxkQWgSyyeM3jG3KKUvi8DvHqNF/mfvIpUlN5jCeQlEkjSbdedVHGv+b6g5p9hrt35+zv2vvnu7urpL7Wnt1UBbk1MFEWXiri/V0Q9ar6HMQUihbAkAoQVSAtGTLQclRg7n2FS/RzVCzg9ADIDecboE8yXMfWaOYP582K2R7YnjUrBrdTEsJsU2FqJwknJ7UDXce8ak22+hWHG3LrE3oEX8ujzkkNnaljloaTEl8ZJKlGWKMXSNOmiZPdsskDWAGHyk6eIYo+9WyOuuqTP1w/WiZTPMBbUJHiJRcfCyTmRduHEqQ5H4krhJmWRmAhuCzZP8spGV++SqPSCTYTT3ukI6Iy9HdBlCeBF+2A2U6V8XkVFqlRxUZYqxWqTtTkWYC+7QKY09NMazYXFmNp0snfj9vDSKEy+tIbBu50V4miEImSqKdP5zgVIk4xl0w75AuDlarFCi6wpgJ8A+BoNPlGzIScYPJ8pnjO6KLrnBXmnS8bk2b6X5e2/M4CXh/+4bntyYOfZypy5k3S78DS41BGWiD+5q8HSUh0RaHwJ3uSFuF6AWfHBy93jRR13HkQZRRRp5mcl7761x6PPtxknNQbKp544LZ6VsypJCu5srTCpJ56JRcfia1gyO5elSVTakEqlbEVyzdvKZLVAMk8yybTpvMziokRYBZNX2XtdpZLXplTLqqtN7JQCzsJ5imLJak/QXIlYXl4hCkf5/50D/LbPfR4lJecuLKOVcvMEhcCkDb1AibnLjaIl1i6/0QmQ5x9sAthFEGZziVLOAJY1raoM9ZlgcFU8FnJFonQV4L5OBwB52daBaYZTW7w8FW/S50nlrpXr3Hn2OHzi9hZj6aOkSrOX1ZkskxnMdU9qBvSKDs8CKkWcaIJE8+43jPidLwx48kidSHkMpMRPTOoeCWRi82PlAj+Rlz24m0n/VnXfojKTF+B2g5q0yaSgcRsVqCJ7WjSZyIoWzwAtKyw+IVXWY3FbPC8K8USJPEvHpmStFgNAQSnFsWOHOXl6gbKloQGePniGqy/b0viZ//Kbe86vnCeMU3CWnQDpXkvHSSNzpi51U9vqyau2nVWv5PKHLbsNk8FZttRnwMmZvDzuoDT+oDy1Setsk9dUe6sJcGfpey9rTDZuZkjeIpb1dMbpPUJ5IYdOa3qhD0qn8sROlMdWL941LkqZHCa98LQbp0j8aJqeYN+2EU8eCklMwND41BJXs61TDa6E26zVJZYy3WvIgszipJfq+dN6GJ2P8BD5yL0kSeOZVJokxubHOxu7HMti/no10Cy1uQmHiMI2FLlcmbziC+swS6OkQqsSO1RHOlscHmq+xQ/6bN66cc+tb/4nje/7h+8e6NpuB/DjJ8+ysrL6hkhM//izx/psbouctV0ts3NPbPq+suc5Y08AuzJ9qgLwKpNXQF1hb1EFeAnc5bFslUdVDNmUJVlS3sXYU6ReuAO3A3AxFMgry5Mye6u0r9MPWe4Z/vuftlga1hCB5+SJLALfbPRC+XNd7Fb0K5YmEZjCEkvSOu52Q/P+v9vjzkfbLI19QqkZSomf9lAWIx+yoL0AkbPtUicFk4LblCo+C7NAp/MBsyA9A7vKQJ0XkGUsXgBcZN/DdV3l7F3W4RN6fL3jkRHj5HSFizaq495bo2aZmVpi796rf7y3/PR9STz4s5zBn3ryGWq1gPOnjhOIiMT62cWWjtQVrlYqfQeTcmS9htM1tzLASx+4ytxF90ve0S0K0GTuhGPxEsBVMX5MlUCtpUSnkkTnAM80t8mDSk+bHNxe2stZdOQ7cHsqwvdDPn6XxzOH6yA9pJQE2bgKUWKz7LilH+6i1YQltsp3qijJlNi4lrM49rhm74C3v7rL73yhhtEBQ+kTSJEnfZQURCJLMK1lclFm8gk7LmdFBcq6VcFY4cCtCscqSYEupUgD28J/z0AvhEjnqWQXWNZumK3ggnIT+ZrjMsHoBYmKyjErXyECFycMBoLTp8/TGz5LkriNITRAo+5Rq3nUA+XKPkQJ3CVgVpqCc9a2RcuZ5YUpi6wkVhQfuszgkgmAi0rb1zcEeD5QUkwkejKAWzcnO5UinircEq80HKjQ3I69Pe2mVq10DH/+lRaLnQBq3oQ8ubhEIasRmTiL69p2pRpxk0qUKNbMtBXfccuAz9w/YqkfECrNMJGpPZkCLs045ythBTKOvbOXTM7mxSxIZVMdrgTaZpOB3WOiSsG9tCTp3xSiAH1Zg2cOUmWuSu6kVEHiDOXCRi3edYa3DGNijTrIjq9Ng3RjfCy1XO7oux8+xKaNs7s/f8eDP/L4gXNordc6ARP6scrUYuJNrSHuErjTD1c5+ZlVKCa0tygCp2zZzwBdkSmi6HBJWVuVga2Kveh1xtyqxNxrGDwbN1GMnNDKZS6PHhMcPF7DECCkc0+0KEoHqsdNlFyNYtkq16IUTC4qgVSSOxkytcM0WM0Vu0L2bhmx9Fwdm/iOxRMnU3TJxckbRigXeqWCOyujhbR2SFAEn2BlMSi1HNso486DKcnFJHtuRIm9bUmilZuUbeXcV4PNiQznJBGUfPJJZGUBr7HgSY0yR9k4t+tH5ra98vFx76ljOhAJIhptrqvkjZ2VJTZOB7mXLEsgLF9dk5lJbCmeLHmCosToxYcSVYmSy6AJ7V1h8KJzpTzUPn9UFMyd++Dle7qltSqDuwTydL96T6WsnbK3Sr/WOkKpiM99vcWhxTr4hTwpuyflIDkLnl9oRavOBSmlqPPdzUpltKHmkvmQt7x8wEPPNsC4uuihlHhJOuQzqUqlAmDZichsQ5kWyFWHM1krMDJ9LtNVRWZ3d+yTdMVwwC7HRukKbAomz2SSTE92+WKrOmriosengvVKJ5j7v4xIY0JACs3Kaof+UL2xPjCbo7E8pmtpBm+qDvMtVwctlVuKLjrkZeKisxeRJmvZmyp7lxim7JgUXxeAFqIK7FymKFFqwi2BO51PWGzbwVpg62JAUD7iTZsU5LGTJyqi3gj5+gHFn32lyXDkQ0OjpcATVWkyGWBWP+s6JzAHeUmm2ImETxpwRrFmqqV5x80jvnD/gAcP+NimxzAJ0grLrDitzJ6FJGQC5LbCn6a4wJRj80Q6PZ4BPMmzxyJlcVucn1yqTFi8JZBXTIW8wM6uwckanFVIdeIn8/9T5LPI+4M63X5AO5SMxxo9HkeMRhFR5CYnBb6osCov9MftC//M2sByYgeBXCuWgS4KNihr8BKwZUmayCxNL0sBkSqXzbr2t2yEsk43YdKqCnQvZ2t3V8oFmL4fEoUJX/hag2dPNMDzEFLlZbsqY0xZsNh6VYQVR6WSQ8hGDa/1wrN7ZheGoebKnTFvemWfJ47VGcc+ifQYGoWfULyXnCgyAK0FuZ14L6jsYjMYJVBZUCcFVqU5EFMAvTgXpVmGJr2wpCjKLuRat6wccJYv/osF45PAKy6L4v+IhUDGqQlpE6yJsDZCf/LTn0MrRafbo9308D2x5j+36/6Bb4jtKsjX2IKixHJlaSKqj2ItsCseeKlMtgB4MTk1lygpuN2MP5sztc4fi+deGlxqFRH4IU8fF3zp/gaDoQ9NDymyysFyTYxdN3bJmxBKRyWrRcm0XXXccHVvyqRUgBVGHq1WyJteMeYz94x44kgA2mdkJH6mxV2vbqk2BESCcy6EcMVEZcGpCidHKwrpIh2bZ6tKnlxLgZ7FRsoKhCkuciHcBmS5RDLkJbwFcRbafE12cxLkdt2nFSclvwgESBFw8LnHOXn8eRKToKPxKrEQCBsx3XKJzXw6/6TfXUo5TYJcTHwhSk/WADz9tGUpUlnS8qVeUFiEqQZXxYjfSdZ2061Kz3V5Png2MjgFd3r3sim0aYG/VrG76wjPi4htwm331bn36TrUNEjX0OyVSngrpbHle/mLdW6VgZRk5azkzciJFXmgmQF9PPJ47TUD3vKqAc8crxHHHlYohkLjJcX7EUnB4mvfRpXJi79vUSpjbsfm7muBNCLX4RnQZeqw5LmLfBWzxWuVFdvmkmI9+XtRkE9irmyxkpU9FNsZDsdDlI6w1qI3zvgIKQhDQbebECUQx27XrvJmUFDSQH9hgJc9bzEB9AlQi/JrBWuLnLXXS9OX7umOBTpn8NJdF5ugZvtEeiVQZ86Jc0zco1IRvhfx+DHJJ+5qAT5IDyEUXp7csXlxVbXEQOSSzP0rStxdPYYVHZ7PT5dOKiSudS8v9k/T99Zq3vO6IXd8bcTDh90kgcgoBolIC77Siy5JWXsik1gGubXWsXgZMOldpaA3MrVfs6DYlDLLthRgZs9N6dzKUrVoiclfqAjrG0mVPKVvi+1gksT1rI7HFqmdLWwt6Et3JGgl6PYtJ5D0BoIxgDAkCWlLv1gL6vxri1jnHYk1IC+u2vVAXTC5yC3BqjQpKggnQV5sx1EwdzEAvwz0EmuXHnWmv1Wmv2M8LyZKYu5+sM5Tz9fB80C64NIvWYNFcMyaTZyqrFnlT1t6kjdAlDOL5erCRGJUmt1MNOPQ4+q9I177Usfiw8Sx+Fj4jIzbHj0P/JLMLrSuYo4qyJ2/XN0tOmNwqywy9cetdYGosC7pJ9Oq0lyOlGpwsuNhSmDPrUsxCfCSDhdcbLFbA/YM8Em6g3KUwCiETj+hNwoxxm3QoBNG7iMrS80XDMcpoIyzioQo/4fr8XaVEQqsT9iBGdBzX7QK8gzIFaBX3Any6sGi8cFWdHcBdps/ZsydzQvXOaiLCbRKlwCeShRfRxw6K/jdL7QYRx40vFSekLemqUrmsOScVJYqeKElt1zukDGTyfcqupgW1zQDyfe8acBt9zY5cNpdfIlRDBLlqgyTNPmTZQ6TdCxHxpr5mmLzs5cFm3kphnVyz1qQ1mKN26jKSpECXOQySFqRBpklwFdikQkzgdLxKl3/xUr3DUBOIemSnMXdti9CjPGD0DH45t3v2XTw8IF/+9zBh9jQ8t2+OhTZMJun6asstIaxy3p7HdZeE1jmnncV5MVGSFQBXq71kOWmB1to8Gwv9rz5uAxuW3otY+30uTSF9k6Dy9DGfOquJo8fqrt2H6FRQjr2Tmuwy83FZZlSztB+o7NUnpdd7Hwg0m5y44BdAbkbpxCOPG64bMjffV2fX/5Dn6HRYDSRkAyNixFyTzopu1XltFwhl/Jkhk13zSu9t+zYW5mBPwN0EfQba3OSMu6aWke6sT7prXkU35DJy2UOWWmLFOBrxbZNQ177qlf92127r/lBHY9OT881Rm/e1LIMQstwbPKoHlFc9RWizsl7YgEuAzx9t+sBfA2oKzJlorgqA7fILKmy/rYl9i5YO5cnFXBn25nYCUmSVQomObg9HXHwjORjdzZAapCOvfPO/XI3UflCnDhxxUpVOl65LJnQvaUdMMpNCDqd95ikIxRMokhUqsUTzXtvHfDpuxvsP+WBDLFCMjYew1Se5L58kpprSclByXV4+pW1lU6sFOepRCHV4AVbOw1u00xm6o/nwE6BXgY5E7ZhhhmxFlKTMd0a/GVfWvc7WoGqCaJEcvSUZMPzwzcvdo9N68t2LtCdPs+JU4s8cmiembrrgsn3dhTiokwkLgZwUVyD1aCrCubJqkFRAouY0NxZq1oB8Cq4y7uqVTegKljbS0cPa50Oy8/8bhW78cspgycq5rP3Ndl/qNDeUkjnfecdNBPvt7T0Vsp/Cz+pwj7F82oD8nqeeNb5bhJJIjMWd1LlykvHvO1VfQ5/LCBMFAhNnGgGiHQarM3ZW2KJcrZay+SZWClA7hq5rcwCzpJ8EbZI8Qsw0gHfmPUkSgnsZkK2XAzc6zxfD/jZ7+l09s22jWPueLTDg4f7bFhtoT92T40zZxvc/7WADc2Ehuemx2Zsm1UTrrFzSkFC+Y+VgS8zzV0KLnPfW04Au/yYBXB5xiwtHRClfWRkUYSfg1uWGHxCknja5Kn3fIsTadAyG5rvJtV6XsSRs4r/91NtRtJLGVyXuuazLqJyOrzM1OtR0NpbZZhq6oVnLWzrdZYnpcymMYrEaOLEI0hi/sk7+/zp3Q0On9GgolSqOBZXuTwp9HjxBieriNwKozJ/XjqwyzQAljLd6Nc6cskCz4y5bXo8jHS/YypO2QS5TQB0Euzr+ePlQyqyj1Ja9QPfMNOG970xYXbzkHpzgK5bSQPFbKCYapQ1paBa11zV2JMAn5QilD5IxehPlygpqx+uXM9RZu2iycFWpIlMu00Ki7AqU3TF3zY5qJWacE1UNp4sRuuQbmj40GfanL4QgNKpNSjzAUNl3zt/PnGSyp9biBfGekWq5I0HZRclS+HL/J43Q0hFEmu2bRjzA2/v8XO/69OJ3NQjayVjo5xtmIgc5OVgE1GAPPPBsxJVa93ojvIFqFJ3RUIOeJkFoClLyzLY03NsSrHJWit1rVyZlLtlfJXBnR/nlCySBFZ7HlE0zfTcFDZuoufakmQk2TyrCQKFpwVKybzuo7iyxEWusBLwJyTKZMQ8eZcXA7cogbsE9KJrvSxLik1fHcBNBeAO/AalywGlqbC2yrR3EPEHtwX85p+0GRvPyROhcnmSNxWvV2BVWmbLk15fiM7XVhSWdiejCDZdnYVZm8I3bivwmo75oXf1OXjc5yOfdVocFImQjEzqpiSlILPsjVeYPEO0KOIEaXMNbq1jZmVFKlFSOzFn79TTz86lTa1K4S4AIVypV7ksejIvMkmWZbytYfAS65MAkcT0BavdAL/t0048dC1QNOqKdtNtX1HUWosqA5VTzhU5UgB6LZO/ALDLjF56rOrb0myUdcFtS1rcVEBeAD11S6QbQ5bXmaiS/lZu1uDyCvzpnQ1Wxhm4HcA9SeqeTMqTciCcLsdUAT+J70r0PwHySlVftpeoKZfSFuPLEilRRmGM09xTfsI7v23Ap+9rsNRTICMwigjNSIi8TmXyYizYypbeo2PynMGl274k0+U2kyjpRWmkyLV+1tYohatjEcI68JPJOZFfQ9XVvryT3losMXE8y9jK+jKTBMLIjezuDwU6EGg32UlRr2m01mu1UIWtLwLmdf5o5SqDdVk7f63SGVJl75wxy9o7b58qgTwLMDOGlgW4VckaVCopsXaJvRsxt32lxoNP1TEl7a2kLBVWVetNLgqY0r2CoTU3B6xci1NIlMlmiEKPCxIrUSVfPE48tIl52TUhb33JgN/7nA8qBCGxwg1MVSINOkmliqiCOn8vFKIlSzyp9DvSpnZhic1zSSLTYFOUJEq6WJiJ8y1wQWpRaVjKjZQJ9BvgbhKD2fGP0827ohi0EFnTpnNP0sTWmqLz8nEQ6/znZbun3Ak0CeyCuUudJ3lWsATynL1ticHXYfFSYFkGd7adoFKF9lYqSSVKCnIZo6Qb/H74hOR3b2txrue7/a6lG/SuBK5rpgLsdZIYJV15MfaevFUSPSVmn9xbNJvRZ43Jpz0lJgV5IlHSbX+yqZnwvW/tc99TAYfPSxARoDBIRkLmm0hljEnFF59gcuvIJHvdWjLx7QqxsirILBhNQe4AnZbSWpsfEyuL2vQi2CzVq4tyKt9WmTz/x5bDhrxHuJyBBUgS4yZ2WYv20iE4jQC0l4p1U93L8GKFJ5NXTzkzVQ4qMtCXHYeyvVY0rl5ce2ed3DIfHexe09Kkr9kKuKsBpSkB3lmCWjpp4vsR48Tw6x9vc++jdVfEILXT3lKmXTvFXMZyF/maAHOCSSadpzLW12YwM8AXWrw80i2fYWJlOu870+KKJDHEUqNizWtvDPnB93T5qV/3GcfSNaIaSZy6KtKULsYXYPIyt1mc7iZj6ozdJUXcINz7zjxwKyali6ie/9Ixyo6ZpYqh9Zh6DUnYTN652ilrIY4TosjVU+laYIlqlqmWmz8XJ26Hhzip7im+3v+/nhRZz/qplG6KKrALHWvz4CPf5LXC4mVpkkkVU2HvteA26etlv9sUwaWM8fyYux72+PS9DcahB3XttLdUOXvnsw/FReYOltym8rLq7hfJI9gygCjqfSrgdp00+UlMPXGVMrg0ElUCehxr6o2Yd752yO33DrnjYeVsQ+G6FiKhGVJyVOxkt08B8sw1ERkzykKX21SXW1Jg41hbpXUqIoujSONVMdHlg/PWq8SYXXBVTFUZvJApNj2AGbiTxI3NiBNLGMYMxwnj0KDn2jGBjIjmQ8JY0hvK/EMmrl5lbdF56Y+KiautornTSrLJ5bzM2NXpVe4DqhTsDtymor0nwV6AOwW1LizBQpqY3P/Otbd0U2JX+5bb7mtw4GzNSRPhSmJFntihNEFqbc13/ph/dlEC+gvokxIDZSnySvlsuvxnWjirS7FZpWGpjFYKhUwMUmqisWbf5oi3vrrPg/t9OqF0Bxqnx0OUkypMavGqPHEU677Odm3Ikz+y5PSIzCMHhE31tosdZMroWUCZNyaTZSCrrF4lSPf3yyZHeukVpJAes8RYotgwDg2DkaXTj1nsGLx6gk5sn1rQYffWJRZX5wjjGmGk1iy75Rq0ij0zCeoJKSKgmIxVZvJSEqfC5MKmNd92XfdEiiKwlNJlKmUG7jLQVbEzQfkxA7enYwwJH/1cnd/8VAsrtPO9U+fEsbeTJxVLcKK4ag1zZyCvMMH67F1uKKl64WWZUm5lyyxDmdqGLnVvpEk1udsiUCrDD71jwPNnPH7z05ooTmsMjMQgGAnp6lTyv55GhGvclGrgqTJAg3NVMkexxOYO0Da1DNMkUKrJrc2YXaTy1ebBo5ATvZupbMhChOw4VwzN0opnjQsql3qWE4uGa+MIqSP0H95hkSZhU2PE7k0JJinkSYWp12Hp4vWiXmUygZMDnnI5ZVWalIvkC+2dgllWdbicZG2Z+tzZXvXZjO5sk9gM3Lk0iVEywvMjnj8n+fTdTfp9D+qqYO+yc1JuSxPVBM+6Pn920P4CSZ7iJJU1eKlSLhs+KbNRwk6yVLp+ssm00mlxKd1Mw1Yz4R03D/jCV+s8fzbNkOHYPDGCEW5Ep2s1W5/JnU0oUKU3l/neebApJthcFNlLK92kWjMB+owgbDkWsFUpUyYLUsAXrxeXJulio5RLTNYb8Oqdfd77bStcvluhr987y7FTCXc+sI3rLvWZn3IF9mXyqciQygm1xffXOdlyIqioBhm2AvgMxCKVJWXtXciSbPs8e1Fw51td506JmZAmrsBqHBluf6DJnY/VIVBpYKnXsHf2PpQQ1RUIKuMuysfnYsT9wkgv7pXS2ZKTYidBnbJ4pscTIZGJQgpFNFZ82/Uh3/ayISc/7zE2EoTKt3iMhWZkQRpRegPlZSf9WuJ8PmzO4u61VLKI0mzKFMhSOg9cGiAns9RNKWnxCiZSX7HAUclpyW3HFOylTGx2/H0pmJ1SXDqjuGLnDGG4nUOnNqGv3LdndX4q+oIX1v7OmQVYFlDzsznbJUaWVNh4XfbK/vhFNDclMGcfLg8wc+1d8ptVmcVTB0XYAuSZxpaZ720mgF2tM5HSdepIP+aeh31+/renSKx29lHqfQsp8URRVKXEJINXZdYaC3QS6C+A9GomsypTigGnqTcOxThhIzCiCnJjJEYoEmOQRhPHbn+hn/i+LgdOae55SGL8gsWtcXq8EgxXgF4CuSANMG3+fqUsSZZUszu54uSCtC6QNBOypWwR2omv8/R7SX+Xa6FypWBd0COszTu+tEq3Xdfw0AEf2rNfuHbz7lW1YUe7f+r86cOLq+YHO52YwE93MSuVrK5pqi3VZmc+eu5XZzKjkpwpaWlVqiXJLD9VdUocmEsp+FKtSQ5qZdcFtyyl4svJnXKv5allwc//7hT3PdZ0m/JIPwe4loK6JN1Qqloeu/49bczIh+RU7zJt98qmb2WN0vlxKz26rbnLlZO2ejwrsYsjg4rky52odAimtczPxQTa8uCTPqvDyaDBaXJEFnQWLsX6QbKoPrPVS2HyEinMCVFZH9a8ZvOrqLKgZSPmiherfz8brqSk246m5gvm2jEzsxErnRPfe/To4wf03Y8oDIKaNGybMiRJum84oiJFJqv/1mXzsiwp/25pKco6YCqDG0UB7tweLA94LEkSmVqDsqzB023tZFYdmD+mmUpZlMMmfsLvfmaKP/tKE1vLdLeTJzl7V7T3xMVdkVwTxWiV1GUVF+WX7MQ3bYkZq0kfUQmijCzswkyLFzuSlZyVVKokQiOHCe+8ZcizRzw++FuaMIhLWlNgrMc4SzWWg4CklOQpJYMsrrYlw1tmAkmAdOcPKURRlGVK+luCtNW5LZlmF6bquJVtw4L5bS4NDaJaGCkcUQY+XHFJwvSUs7z1njmnaCSCRl5sVZ4zYqsMsi6w09nemYyhBOjyrLzSaLGKgzIBZimqbJ4DO//aVGVKVmciE2RFpqT7O+Y1Jwl3PBTw259vMkrSKfgyuzvtne3mVsmiloC+9iJfJwYpS5V12K9CSmSgLnRupsNzn9ekYxwyLS5L81NkqU5FWGSSShVhEKlcCTzD972lz9ee8LnjMWcXZlIFBAma0DoM5L64LIFcTGhw4S5KlX2kVJOTShdE1VXJ7OSsjlysA/SMJGwZY6nurv5c2hMq3UgK0iDZ+eCC7kBydrFJd6hIEoveu91DCEEcu6n5tUARuN2xi2q9bGlch53X09uT3y+n5avTSAv2luuAvLyTQMHUJTYvZyizncCyTUul251XyjQlryMGY/jZD09x5HSA1dXAUgiBlwWXk6l5Ocnc64A5h/BElFlBeRXkZcautK+lr5msPgWLoTQFtpLlFBgh3e5p0hTb7knldjU2GhkaLtkW8e/+cYev/VhAb5R+AJMJE0ksFSOTrUQlkBtbCTRJU/a29P3cys9AnLI3qatiS8fONSxnwWi67lmqxGlFhTxF6plTwk/2H7l3avKjmyQwjhWe5zZQ0/v2bkQpRa/XY2FxEU+XtHEpZV5Nr5YYG9Zh9Qk5Un7tG7D2ZHpeCpPLkgzgMmfvkkuS+dyyYG6dglvriDiB//HJFo89V3Oed5qOR7odlCfZOw8usWvrvWGNNCs+dzF0cy1r23VeK8mSEps7kNu1UmW9hgjrMpzSSIwwJEIijESKtMVNaKQx3HBFxPu/s8MvfXyaMMlYXORaIzaKUfq+c6ciA7zEVTam6XmVztO3wnUKqSzAzGRJBvS0tDC/3smSPO7/yWfgTAI9zdtPKoIsMLXCpskksMZtcBsnlv7QIrxpmn7LDf55zc1vpF5vcOTwszxw3xfwfR9Yy8xlPVQUU9l1f6bcaV5d1qu7ARRB1CTAy9ZgdX/GgqlNCdxFMZWUhUUos2rBWsKXH6jxkU+26Aw98DPt7TntXWLvNRuslq3MyjFZm55HlBI8hSqvQtpWHtYEX3kCKKXFQoOn0sSWpEmW+JGufSwx6cZQ1qaSRSGlcfUqsaJdM3z/uwY88kzA7V9X0IhTZk7vUhAbyQjIdr2vXJRl0VvS4dnXFSaXmf7OgFxl8mydkLlGLw0Jspl7UjgrWFGRyCYjGAOxABEnCAFRGPG6113P9ddfS6/XQ9friqCmaTVhdirGopzOK11xZeO9DP7stSqwCzaX+dCXUlCZs3ppd641kiRjblsBd76VdLqddAHuUjInY/NcmsQ8d0zz/36ixfOLnvM/RSFN1mfvi6TjL6q3q0kdAaxH1GVCXFOLUq4kzLKHOWNnk8aqk2Ank0EyK8wSFiEkRrqSWkc2GhlZ9s7G/JN39zh2TnPotMDqEsAFWDxiKxnaTJaULsM8GUSq421ubFjpNpnNRpCT6uMM8DL92WJueLF4ZOSXsbMUaaKxJIdJ7cjJBpsyRRgDvUFCmAikcudYN2oRfhAz3RwzPz2iN/SJjc0nB5UX1azaK7uy1yZ4iomma2SJXLuf4qTuVjmzm7xyUIqSeyKN092yCm5ZScfHSBkjZYQfRJzrCH72t9p8+q4G1tMV3e20NwV7lzzvYoPVqs892Tlfrseh/FoZ5BNgt5Nf2LVf51q79CNuSS61teUp/MIbT9LZJTLT4qIUdCYGTxreecuQzljy478oOb8qIEiRZnB+tvGIcJZlBeTp1xYnYTHCldSazOnLymptzuIZ3q3JNHgK9FS2ZDK/LPOKBonyNu/ZoVxrOGZkkBhY6ho6A8s4gmEIulGLUXV7zvOSL+lg9o12EOHr6qSlyXNQ1qCsp70rz6usLUruSRn0qiJPTEmDlyzB0r7pFXBPBJhKuvHHIYbP3t/kyw81ilqT1DFxQJdo4TzvoltnvWH2rN93WTrwiCIQqoSVonzwxFowTzL4BHNnrFjocAdomTkrWdInlSwyHSOcZCwulNvfVBiMMMSxJdCGN7xkyNteGfD7X9CEcXqVZ3JFCqzVhEZACeQ2rdvOB4dm35NuQ9usVCMbjFKWLGU3xel5W2Vzyhq8UAZkK+Q6BX/lgit3rAxbt8yRCPGlRHjnQiPQunE999/9qWNK1/670LveqNWz+OkmsEneLkX+p7KPl5+8CSbPt5Urf12WJWXAywndXZElJSafALcs+d6FJInT15xjEgvDZ+6u88GPtDm1mOnuku8tlevElqk8mag5yQLp9TrnJyfjViRbiXHKxyk7VsX6tw6b52xdeONkAWdOOKXB9Sm4pU0H2qdfi1SmOHC781F+Ho01O+Yifvwfd+iMJH92b5MoSa9sWwDdSkVoHJOLnOHTZSUDefqBrcgCUTILJU/Vp1t0FsfHZPKkKkvWA3pWh5LLflHNAOfbkluIo5jrr9vKhob574987Z5j3/O+d7s9erbMLSOVT50VPDMkTgRhJBGJC2JEtvSk8zuq+jtl8WwJn8iulQPLyv7mJdmSsfR6DK6EkyVlcGe+tyz53LnmljGel3B0UfKRTzU5cDiAZlmaSDJbUJOm5LOMYs7a69SvVzz+DNxlIF98fsxf5JbVnrjIrGoZlqVJufNeTnT9JEIgbBpkpq8JKdO0v0xli5Mr8dhwxSUx3/eOHg895XNsoYQoKfJdBzOQA6l8qYLcpuyt0t/Jqw3zYFOkbF0wfKpikDKT6lWmLsc32TUkssVvYqVLTFYuCys9OHI+pjE/ZjQqbUK1dcdlSNVkqtlBRE+zuOqTGA8wJELkQjDbl3ANe1MtrJrU2WtAXk7mCBAVh6QE+InAsgpuUwG3lAlSuHT8ck/wy7/f5u7H0pHHqd7OkzpCIgV5p3wxkbXU5PwNAkzJxIWeHw9ZSJRvAPg1SZ0Se1cDz2pm06RzAcuBZw7sjMWFY3FpjJMwwrkq7j0aEmFgYLjlhjH/7H1dfubD06wMSwGnJNcXBpmD3GYfOpUZdsJRUVmEmGrw3O7ISmpNIVesKWqdsNlKWXKfbAFsUTpo2bFxk2UtSTp4c2mk2Lh9Oy++8Ro6vWH2NiFobMNr3Xj7Z+8d/vyTRza4IYsUJ1ZNuB3FPWsKLjcGr71ftFlhnSRORXNPgltVmVtNMLdSMSNp+fVPNfmtT7boRXrCNSmSOlqk237IErAnAsu88yW/iKv2YJnBc2ZPES/4hvguQF4Knex6gM+ZutgItSjKSiVkaSdgY2TpezK1ENOg0xaDg5JE09Lwg+/q8UPv7FI3MZgYbHo3MZgIbIKxlrGBsYXQCCIDccqgsXXNMfkQTCNIbKnb3ZLvOVR+LZcX+eyXovUsf81k2Vwqr5l0T88iRrS85jqPq7ae+/k3vOLK2y/dvbkAuPAv5aMf+eAgGSZHpZhiMFJFm9pEWr4SeJXazHKWztnaVEC9/r3sitiKO7IW5GkwKTKLMHHypVRzgmd49rDPH93eoFsBd8bgMrcFHXvbNew9ydqTLsoabV1h6otB+oWhXmHyEtCzDVG5CNCrdyh2ME5T+jmgq/fEum58YzRxpGkpy3e/YcCVl42RSZICuwzyBKzBWiZALohScOcgLwG6AvqK61OANJkEeJYksrbS9LEmEKd4TQho+JZA1jl7cnj0P/70fxrcsG97AXCA17/+zbzl2/8Oey+5FGOSwuFIz0/efS3IJcaaoDItd3V6usz4qQ0oiqHxedpdFDKkyt5leTIhS0p3lQWWnuGZwx7v//kZnjoUYL0sqExL/VKgZ9LEn7QES4FlsVDbHJt5cqciSaqbaJUW+OL3viF7l5+UT+JaVi9nMvPhPPmFMLFbmpWVpuVyk7L72oE8sYokVFx7acSv/vgqV+8duWHbdhLkMdhkDchjA5F1j3HK3AXQRYlty0Avb7pV7f21k69TuCTVQ+WQnl0UcZxwyd7Lefvbv5M3vflt+U/lAK/V56g15vGDgHZjTKMeI6VZcwLyk1YKJNevH5lg6lxTl7OStvq6KtySqkOSMXfheWc1JlJEaC+hZwW/9ukmjz8bkKiyFVj0WSJEmtQpuuSrzsn67C1FVYZUQV7AWFQQXqL5b4jwshUrivM3eS+xVmVX5AzYFZmSNUkU45czNs+n1eaA14hEcsOVY/6Pd/RpyRjiDORJVbKkIA8nQB5bB+4428zWFiDP5Er2mjHk77vM3IlZC/asZGEyJ5M9Mwb6Y1gdQK1WY8uWOTZvms1/SmdPPE+jdfD89JQ4bIfh3jCMGY6mcu2Us1iJ0TOWm0zc5OMfJr3vXGebvLmh6pyYovYkrTWRGbjzgNIU4JYxnp8wSOAjn27yiS83GWc+dw7swj0pSxNVSeysJ0lsqcmj8G+ZZGsxCfbse5Pj2y6C8dLyWwRQxdwRV+tU1t3p/MCJ2hRjXZe8rNSpOAeFLLtpncuSGJk6X4rEpLXjicEXlnffOmD/cc1HPtWiH6VsYEp0mNqABkVospR8amum81Iwzj1RpeeQet95A7P7PZlHkyUTR+Z/Jj+eVmR7IRdFW666SjAIY4Kmhw6CwzU/eH6oovz4quzJB37+v3DrG152uDNsbHxsf/fm7uoYS50oKUxMsQ7LVcAs14J70teeLINVayRJ+n2VVPR38XUaUEq33Ug/gg9/tsl/+q1pzi/7bg5IWmNSLoUVQuBLqEnSmm/XyKDzVjg3HiKfqKWK5/nQz3QFKF5fuzNFdcvDYkuWYiPb0v425YtqoqlB5MdWrDnu+dd5zU9hw1XiJUpEVH4UFDs/lBcZC9PthBdfHdEdSJ45rFwSqLIiFSuTReaWeNERNBGklH/lorpNrHl5TekDhV+eNYloJfCUYG7K8PbXbeblN17yP06fOfyh669/yVoGB1jpzhIEtc8trWx4+0qcXD8/nVALsi33CsO9SO6UAtBKUVKJuUvOSN6ONlEpWGXwEnPLVJZUmDvT3zEyMPzZnQ0+8Fttzq1oh9o8qCyn5J1rUrC3XSM/1qs9KTtJBXqonsjSOatuGfiXv2VsXs582qrqzJsfskE7tjRKQpQsxCwQFVY6grS2eDSQCMfsQlgSk9mHlii0bJmJ+bff32GpK/iD21pQEwVt5tlN0gSOIsroNtvaAZF75UIIElnSYlnZbbYiVkBuC3fSUtS5lMGfYk1L0NoNrdo402Tj1NTj2zfOf244HFWOaeVPvPsdr+PQ03feV/dHDwspGY6FG2aYZI3IxdnMmSMLDifvla6c9cE96Z64kRGFLJEibWDInsuivlvXEp4/rfm925qcveCXmhcyx6QIMqWYmG8iipLY9eu9SxduDt4iAK1mKktXQulUrStfRFVHr0nPp2ezLFmY+FnXxlUkeArQi/zrvCm5VFJrjay8Xg443Wsq/VoRh4ot8wnv+/YBe3eEEE4GnQnYJHdXjIUo0+TlgDO1EvPgM72v0d9lh4X1HJVqJjTrove1oOYJlNacXwwf/uNPffm+K6675eIAB7jqiq1cfcV2arWAcZSl64uTnHfllNhNpMmcIjX/F2Xu0l2kPrfI0vCpcyIKxlYiBbefcPi0x//9q9Pc9UjN6Y4c0GX2lkUxlUiTOuuMgVgvc7k2wSOq+jtj80n35CK38pK7Tr1Q/ttlBq9eBClYS69n02cLb1wUQC+l820a+NnMH8/Anc8cL8Bt0oGeyUhy64vH/PT7O1yybeyGjtgJjzx/LIHcwNg6nzxzV7Lg00yCfCKwnAwuzSQBlIGeEpPWgiAIaE5vpTm9dc1R1ZMvXHP961BKhYdP9Bj0++4qKNmCuTSZAHW1YjD7mYuDu6LLReqeCDPxdckGzPorvYRjFzz+w69N8YnbG4Qi3RSxAm6Va6ZcmpS6dNYrh51sS6sAsszEGdgnQV363v+KTMnwXd4rZ91tTvJCuGLUm0jLKnI5YtIYIHNYBYfQAgAALOJJREFUyMYsiPTnJUJknfUWUE5iGDduO9Ax73n9gMTAv/8f0xxfEA4x5ZLYXK5oDJKIrB5FpBFy9ggYgZ6QK1LafAYP4GpeUhjLTKqkwayxFmEEiSjYXSvBZZds401vfkOYJPE3BnitMc/cXOvHLtu756qD47O3eLqP77kNVJWyE8xXBC0Vb7yctVwX3GYtuLMCqjXgLjUP64TjFxQ/8d+n+OQdTUKp02iw2jycd+lISvvqpC14vDB7X8whqdRHTLomE3EY4i9ZlzLBUjl7U3qeuSx2EuyTxVipXBGlOpXUN89cFGGyazLrxs33dUgB7x7j2KKxfPcbB2gFP/kr0xxf8N0vy+K9F2B3II/zrwuQixcAOVllIqmEJ51faAsDp1IzjMgtae012bh551e2bN32YzYerDm0ayTKxvk2D9x/V7fVqh+YaulkqhnTqkUEvhvDUC6ayktgK3ZgCuSSFv8LMbcoM3gV3DJ1Uc4sK/7tr07xyTsahKqss8sMLivSxJM2rTe5yPYjpUBzspm6+F41wbPmAshw/ZfA9OR5E0VOqdTRkxZg5a9XZUxlGS9rc4rspskljCjkSf51KdNZfp7KFGPd7so6Ebz79UP+n/d32DIbucbHig5fK1fiNCGUafIs47muXMnKDcq6m7VyxRhnz48jS39s6Q0tcSITz68duOOOL3el11xzfPXFDrwwq++/4pLkpdp2bzBW0B/6hJF0nvhE+WjBhDYvnKokcCrgLskQOcHca5ySrPw1IfHgQ59p8okvNtcHtyyBnLTWRFDZ2nqyiWEywVOUx16EuUugznhmbTRaOobfAPR24nkprqwEnpVOnwprl++ufsNJFLfUF4VYIr9jcdKEbLeFjNXTstpU3mDyWbIpUBLe86YBB45qfv4jbXIxUHJUQHxDJs/kikjryAXF7wvj+Cl7z5lblxFARuBhDJ2ROwbN2fqT5xe779883173GMv1Xnzlq25l5+ZzyeZtm+1zZ4YcPNVHYHIGyTTbGvYuF0xNOCpyEtyqeF58XQW3K6BKQFu+dH+dj32pwViWwT0B7NQSVJnXnbsmawPLNTXe0q4LbMq13xNszjq4njBUvjF1l1/KWbv62qTzwjqvWUoMbgppkgeepgg4rRFUa1Syofqq5Kykz612TG4UfmL5rjcOeP0rh4jEOPauOCvR+kxuJ5g8fT3PcmYsbi8ecGYHV6S6fM+uAXv3jrhk32777Olh8oY3vH7dw3xRBo8b3063P/rYH9x1fl89OdN8760BvifQyrjtnimyT4VUYX1Ar8fcWZ23SNZo7jyo1AlSw59/tc6P/coMzx7x3a7DctLnLgJLKV37WbanTtapM5l6r9xLwHxBDV4KNHM2vxhb/yX0ylpTJdPZIkdztWeTPHNZmbBaYvfi+zb1w909Z8c0ABW5VCFlbVmqgnHUme7Wg8By7d6I//ovV/nXEm77aqNIFVaYnCqTp90+WdSYsXfO7mlzMVk3g02/LdwuEVnzvxKuKatdF3zna+Cay+f7O6962ceUqvMz/2r9Y6u4yO2X/usv8uY3vuWRa3bPfb8ML0wHvkbr/197XxpmSVGm+0Zk5lnrnFNrV1cv1V29VPUC3TSNQLMriIDKwIiO9446d1NU9LqMy6izoPMobjPoXFfuBUd5dMarcFFGLwjILkizNzR001vRC73WXmfJJeL+iIiMiMxT1QvdNDA3nufUqZOZZ8vzxpfv935L8Lh7q+gupRrv6F7dZl633dfEsNSGU5kGt06FpRng1w/k8LnvVrB+W9ZokulANanXIXkaRyuzlGt6IiOVKjzvGsXPZvTQbFVn7VORx9jy6+hlHHWkat1PKrfJKCY1VnS2Ips2FdLZmc2lSv2epkEh00xAbl9lpGdsHyeBFU8pEk9aELtKSYFb0AmOGR0RVvaH2L6HYuM2N3EZS3jcxHBh5RWQwvg8MCRY+f6mwTEjva4DZD2CcpGiWi1iVu/puyfGxt+7ZOkpAaYYU1pwADh19VLUquOojaxDFE4K/q06fBo54WaOiQ7yGBabqESshCM5jeUmrgD3579bwbNbsqLkzOLdZtRS/PJegnc7CcfSTutNOJcm0ExQ6N8pzgW3VRSSpjJJS97EmjeTwrkM4VmBH5h0xK7qiRsEAfEKwspCm7kqjAkKZioq4ACRlptwyEioqOBSMCRNPyUAP8QJfT6+ctUYOIDfPFDQXzYucjCtum3JCRWfL5YElaojuXlEVdRVURfZ4BOCfjLGUfUzqLQvQKVSng7CzTm4Gl1dMxqMkw/mWnomw1AC2kkXLOg8FG7xajORijqRttxkastNnQhwgd8+lMPnvlPBs1tNcDfTu3UoXvFus/2DFbFsopw0zfdO3KgB2pTD2cRoHYye8Gm2WYGeGPQJoAPxDx4Hdcz/Y2UikT/O7ABQnHkYB390tqHm5AYfZ67YFrmIfAcn9vn42kfGcPEZVc3H44IJk5+n1ZVAFk1EcZSTWOm0VsGE2s5kqR7hWNI/dzKToR+cOXNGY7pzPa0F339gjHV0zVt78moy9vC9W4tZr4asF8FzVX52MvSe5t26+n1qnVtZbgXu2x7O4dPfruA5E9w0wbepzjOhSu+mGtxu3IvFoB2Wk5kI7MC23sliYjPbLRUEskBNrLtDIeNmWN4CvEzCUOF3IhM0VI+/pJKirHGShxMY+5lwk0XghIDIABBUYbFqT8UgVRUqrb3oHmV+UO4Dy+YH+MbHxsBBcMfDeURq50GCQZBt4ojo4yZ1csXRxXkzazURCork+Bzloodzzj5rbOHC+WvHx8cZphnTWvDOzk60tpb35zLBFSee0B+0liZQzPvIeHqhJyehbTtJB9OJLJ17SstNI3AH+P2jWXzy2gqeG8wKb5FOJwna4PYSFttSTpAGN5nKcsO4N/YpuJoLSyXVk6bbpwL2FBt1zomdl2Llq6gCB+OxpYUb21jSshvb1Lo/VokbU0uG61yVKC590+F8xhwwn2JZb4BrPz6K806pwYn1ccOSN9HJfd4kn9yy6LoqKIwAPySYaBDsGYmweMmJwdhkcEWxWNrf0dE5rfGYFuCul8Hk6FZ0dc/bOWde35auToZKcUIHfJKWulmBMDG07lQQR6S+UicCPODOtVl89Jut2DiYld6gSU2SiokGt1osygK36UwmAR3TkybN/AGYlTtIAt04P2k+ngA3SW9L4dmiI02oirE/ngDGYx3KN8LaVmAHKcDbNIXKnH9q5KqYRRPNKoFci7JEPkV/b4DvfGoU559ag6MCQSyRtxIDv1n5W/MaT5WYFTKCPRMcUa6IpcsGtixa0Lfz2ecHZavBIwQ4AFBKcdvddw0+8lz4/l0TJ6FWFx1MIQFi9gZMgZvaaknczlgBm4ZwMyHgAXetzeHj/9iKjS/KcjNqFisY4JZheCKb9TTPEmyeX2Lybq1/pyXAlBZONOiTCSiHwUQOeyQ5txm5hAVawwnF9Fbc5N48Ycn1rVl0U1t0rgqXI8HHGXPBGhT9cwJ865OjeOMbqqBhKErfLJAHKZCryqCAqxpPYbFVNmIkv5soNWzgP1+2ACcsnHz/lq13DjqOc9Bz6B7sgEJ5PkbHayi05F7atL58/7b1u88uZoZQyKv2yqpOkk8B7ikSp2gINxvhxSGKh57K4+rrStg4mAXPJAM4U4M7q5xK1ZnKAHpyyZG0c5mIxiJBMZLSW5NtpsRmOZspsE+BfoNjI7beWgEx6Yq5Closu1kauDhGhbuFUgGDixs5T5yAMIBRCiob58uW8ohDiqbto9ByjZpy1DESReQIQgzMDfDtT4zi6us4/vhUDi8eyAAZJHRybnFyP+7BQmQFkFJWRNP7DAE8J8TqxW1YNbDy/oGBM19iYRVOk9B8chzUggNApZTHjs2Pbiq1tPxTV88yNAKRJeg6ETxzqZCmlttOmIoTp3IRNu5y8aXvVfDfv1HBhhcluKdyKGVNZQrcJAFuc+mPqTg3xTT8m6QpC2xZMP4vQU9MwB/uMCmH3kbifXZOOLettlGAnMoTjzk2tdSWON867l6mLLYuWOaWuqLTbGNuzo30WklZmO9gSW+I//HpEfzNVaNYPLsBNBKWvIm64stUW1Wt32AEjQgIIrVea4g3rFqGQrH8T/fe/8imQwE3cAgWXI3OzjnI5kpro2DiFg/bLyvQdSjmQ0RMNSEHKGEyF8VscRxJ620WK4TYtMvFl35Yxk13FFDnrnQom8iAVGvdJrgzhE+hdzdxMA0rnVwpzbLeQMq5NOmJPSmmINhHSlWkJGwWRcSAT2w3azJV8I/JA4hUWJhsuWa2XiCSkyvFRHVWU8l8TCosTOrRDMLPiZi0gzSSTfONLyprMmFOxgDobovwnouryHocX/xeBZt3ZYFslNDH05acU/U5xHcaaRAU6wwXr1mMk1YsuWXJwMK1w8Njh3xaD8mCA0CptQe12sjgjDmnfaytzb113A+wZ2QMrluHQyMQInO/ldPpCGBTEmrLTQO4mQibd3m4+gcV3HRXAXXiJpbxMyvhjcKFKcBt5Xk3S6SCYckpUnQkCdq4RK2Z2peYBOYxKUeTNN9ujhjITWRCy8E0uLbZKwUw+Dczj0Wah7OELp7UxOOgkOqdoi0350RW4TuWZh6p6vxYXXHjW1B3kWXAFW+q4e8+OIoFs42iCSt/Ja2T+xyoMcBnIbraD6BndgSvXLn1gjee/rF9B4YHe3t7cKjjkC04AFTa5uDuP9zzYi579jPX3Vx9+/79z+AbH2mglBckTRQ5qDZqSiXRpWZujmHbHhd/9/0yfnlnEQ3iiFIz02qnUmCFJVJVOUnLrRQTUxo0rS21HnPLmjcFOxJAtuiKbbXtbebKDs2GvUc1rGmGaZ6y2PbzLM2bSAATngA2j1m1WoYQcZRTv4/i5dyw7pSJ12GUKJN6EEuuHZL481KCMAByboR3vbkGEFE0MbjbA7IwHAIgLsSUab6EAC4H2lsCXPMX+7B8oANex/Jnnnvh7heX9b/pcCB7eAAHgDG/D/nOOV+bP2/ngrZ8+Gcv7d0Fd2Yd2UwDREYvHSOfRMiAIUJwPPJ0Ft+/uQW/uLMInziy89QUKa+GFKjA3WyJkbTuLYGMpDTIp26BDG29U1TFpCcK2KZcaKkqev/hcBVT64ZBO+KdxLDM6mXNcLyiKVw4Zeaxir44JDkxZCWNLCJWlEUHZoxIDbVBLgDMbCdTfmfdlCgSMaMQ8NwI7zq/CjDgezcV8cSGHBqqjCd2YMWPx+HCIUAly9BbcuA3VqKz/YSf9yxc8jVg9+HCFQfXWRLjX//5WzjvnDMa5dae3/bP2HVuITvZW8w1kMkE8Fy5mrBck1KtsFAHx09+W8CV17TisQ05BNQxenUbtyl07uxU4JbtHhTQrfI5YmQRpiKazf4nccJTPDGoBHjcxkG1+TWPNbfJ7cqaU71dJ0c16YYl36tpLroxwShJT0YK/bqIJ2KipbNFr8wrTsLXMH/opENiJmOlwljE2h+v7iN6I4MzYUmXLQjwp+fVMTRG8PwLrqjGt6yGIOgOJWhxOTqKFK7X/sBlF5/5zo0btkx0zVxz2AA/bAsOAO9550U4sPvRKvj5/ujOHyFDJ5FxlUoS6kVXMwEmI+DHtxbx19eVMTJuLCHSrBqHOmJKU92ByuwhqNQSqhrVTwPuJDVpqprABpGVc2ICxfitU1KgAaIp/c7DcDxTtESrg3H6rMndVaqKKgy36IpJYWJawrX6woRDGUuAVLOGeJsK3dNYY4RY90dyGSZpTNw+R0xm9cWVQQcIKA3RWYpwzYfG4FCOn/y6hEkfQkY0Jkwj9LA/Yuimbbjokkv8e58m1fPPevORQPXIAA4AbZ0LAbBH8nTlGn9kS56ShsgVcCK4bgDXCbF5D8Wv7ivgmhskuL0mCVPUpiSEELhGwYKOUCbKzmiyK5XBwS0LrRcPTQPftmDqHKdpSsLKJa2dKR3CoBFTgZgj+QIxGIlJU5KATxyj1RRZ7WOAXUuIsIqXFTMgkqNTKReafFgoKjDyScRODhr3/6Zxy2QCUCZaIYsNoie43MehHhM4nIDzCG3FCH//gTHkPI5b7yli0z4OOMqjZuCRj2zOxblnr6wtW7rgEYceshZy9ABO3TawaOwLTvlSvmnTs58Y6Fqbc10XjhvC9UI89KyHL15Xxr1P59EIXQ3uVFagwbeJiNCnrXZCCqTJNNgmSVRNenwnOXTq0t4E/DEQuc3RxXMS/JyLBwYJaDYHbGBPOxPs5yW5tbqHZallIIggwdGFZdelXyQGMqV6UrBpQE7BJNZFMIiDxkCnsQVg+jtRgni1CC45ttTj2woRvvKhMVx4RgNXX1fBH5/JAx4Ah8OLQvz55X31T773rG8Vs/SvW8slHOk4bA5uji9+6RpemHvK/QErOv2z6mtcus/xMiEeWu/hs99pxd2PFhBBrior14JPy4Aa3Bmq+bbK645bqx0BuM0Q/ZTHUDLFpCAxL6Yxl07zb0LNbZqHE/N/QtLPb8LD4/ZrBHGJY8y5Ac31E/sUllITNTkJ5ROT1NpsqRbPp8T/qVlKZPyW6Jw/6xjVKErecwgqY6b1eh7H4rkBBnpDbNjmYMdeceyJAwv9q94162tz2jb/fUf3mnQviMMYR2zB1fjopaN+S3f3V59cu8B/Yv3+L/n1MfrDWyp4cnPersBJWW5d/a6aYuoK+KkKFpJh9+bgNnl3s35+KXABKcuc5NpNrTqx7uLjrDENXUlKhfoxAYeutrEoS0xTJFeJebhqtWC0lSCyZE3xJiYMhFj3Xk4MFRoHkf1HxP9TWXLCFE3hYrViMBCxiI88QL03k1cS2ZxCUhd1DxCwBoEbEpx1go/vfHYY370pj2ymlRU7Or/066dO+sffPLnbf7n4fNkAL836IH7xb/9Sc71Vt2TKxS/+9p7b8cS6FqAyhRMpgS2cEd0I01RJXFMJUUA2FQ8g1rSdJuCdNrkKsKxbmrKklYXm2YXExq/FRsihnLoE2o3XMBxLK7LJbZCbvJ2x+LTK7RLocjLoZVGkxZWTgEEAn0hgg1FRuII0XeHqyiadAG7SFOXYyucKy860X0AEuAVNEVSFEpVCEOHkZT7eOFhHZ8dpvH/h3FuqtS21E1e+7+XC8+UDHABOXbEQvXO7X/jjEy0fnrU4/308vFY0wKUeQDMwy8rUJVKrJNJq03T1TbrFmpEkhenBnbTMaQmO2MckLDWMfSaAp7qEN7PsRwR2k1sTw6orMKvDJIjBxXrwynoT44ka0NJCQwZ9iHAuORBbXLEWjziOMkmzgbj8jChgG60eCKES6ALslFKxbg8n4JSJ91CApuJzMi4afhLGRfCPCwbCxoo47w0XspFg9YeH/BNeyDg7jgY0jw7A5/Weiv/74Eb/gjPeeP32Hc8W9u/LXfuz20YAtwjiZECVXCR/LAe6KU+yhjIF7LiiWuduJ0vOSDNwG7QlqS0j+ViB0eCjtrU2kAwkaIhGdQrKh4JtM6MQUxjyhEXmMqCjQG/LhVomBNF0Rb2H6D6rrDfkepv63RTIiYrvGF9FWXIzRwdg8rGOZisHVJw/Hnvg8USUdIo6DojLwfkkHt+0CCN+y19e9vbzr4f/dESyp+BojKMCcAC4+Mx+NBqboivefsXm3lnd44Pb7yw9+DxBJQ+44GhwAp/rN81QLhaBMihJMmHqUPK5TZkw6bClQ+2aXmi+naYmlhMGzceT1h0kDXbL+h8ivtXxqfD9FLQlqaIQybFjqdAEPgxLr3R0RVOgIpqq0l2DnEoebhoE9aUokZSDcHAuKI3i5ZTweOluECI6iEuTLyaMLLKIxBLjXiHAzrGZCHKXj/f1nb/58fU7o9XLVx4tWB49gANAJtOCex6Jbl3Sd/5Vb3tr+VtDtXvb2eQoGHewe9IBg4guelRXv5vatmNw7Ri0SMt9ZsjdauKD5uCe1opDP0+hywR/2oonnFBosNsHHfp5M3VxSwqEBnAikq+PVYBW72lo4Mpqcs5jfV5NJEGvVeKW1MTjDwQwKus55Q9AVH8SqMxxqZ1waZWJXDSKMsGt422AapBFuFr7iWB8MoeGD4CW0dd/4dDiyjkfd509t67f0n00IXl0AU7ITADAS/vGbrzynee6PS3ka/fec1/X7qFh8P01DI7kwLkLl3ChmJi8m2oHklKeBjES/1Nx+ZuutnLa0DcS1mmabfLL2Zxcbz4sMBsYsp6Wiv3EER1jn1HUoMFKYh5N4u0S1Ab4lRUXQFacXKTVUklRFHAJ1CrF4qMoS86ZfV655OWEQdJQBs4dsT4nZ5J3q7PIRRCbBNg7GmLL9ja43kzMmH/Gvmzr2Z9lUXAjcQeOJhwBHGWAq9HTVcboyOiP3nHJGbQzP3zN2P67uhrYiU/dMAvVWimmJy7VYNaOZbrbq9KE43tltdEc3FOqJqbem9xHmoGXGJdnmz8Qtd94rJ93+OesWXQTQAxcUyY0KYkCsbDyJM4cpMSw4nI7oDmwCvkDMv+aiN9CTSIT7ISLPoZxQCh1ngXvp4TKewjNWzrAHAyiZ2SEyXqIL/+0gKCewZ9dvHxf5+xzP1erRz8qFtuOBRQPPR/8cEeltYLBF+6/vm9u8TPnnVYemqxFCBsuSi5H3uHIuhyeoxUUV3XMkh2lHHUjiHNP1GpuscZtdoKiU4DbpCMJDm9v1/REXD30Y4FvTUjSVtvm6cnRFPCJEKaiDua+ZEGynR+uj9W54sZ24y34FK9ll77p5vlmN1rOjKr7uKpHFytHkbxnFGGkc8QjRhFFFCGjCEMHfuDB9z3kMhTZbIQDwayhST/7mV/cfMf1xeKRRyoPNo6JBVfjhNWXgE/8w0927+v2H9mW/YEbjZS6igyOw60fuFm00eTaycWS0pG+ND1JWvf4rwpYoAlGTeDDniBJAJv8Oyklvpxh8u+YaqBJUpXBy83nkdiRVMRAW23GBP8VlIboy4ZUZEyrzaA5OIn/F8cSpeJIVUQ9poRo7k2kuqKStQAEgYMSQnzw8lnjP72/+6O/W1f9159/88+PJQSPxk8y/fjMtT+Dm8s4jdGJdxzYsefHmzdvzTG4CCJRPc2UdEi05VbLZycdPJIEWQLgUwdtmoTHTWtupr3GTi4xnFvSdLv+X+6nduqsmQqQfGz2I7Sc6ESKrxmRjfdTbjni+uqlV9pQlCP5GmajVDPiK86fuVpbk4XGpE8gzn/S6Kg1mxD3plS56WHoIIgc1BsM7Z299Y7O1r8oFr2bfD+K5gx86Jji72XlohzKePD2m/DuSy/ni2d1Pp/LYH0x7146MjLkMk7hh2JyO7KxoufwmJrYBQzGD2+AIVlInNomQR/nYkPne6SUGQt4JDEZbFDb97CabOrj7TyVps8zrgZpZ3iKW5NjzddodqWJeyqqQUyaZV6S5P9c/885MbarnBKdf5JuLiTzZmQmJwjQ8F2MjDvIlRbUs4XZ7/Hyvf9neARR/8r/dKzhd+w4uDmuuvI/4MDISLRg0cqb+xfOet8pK/uq1AlxoM5QD2XInnJ4ssjHdWCtWWk177ESoNK5JYANbpNbmwCwZL6p5MHE6yr+bcuNxLrKGK7sYY2m4fjkzTgu2S45xa0TnNus41S83ZQU4+PjDle6btPqY6hWSGNEcnDBw8OIIgwpgkjcGAMyXoiWwjhqjQDILKp6udnvW71myc0TYyPRylPf9UpA79hbcDV+c+tNuOgt5+HMJXvX54pzty5bVL1g656h3L4hF20FICtXAvSoDVr5k1gKSVNLDtvKKXBPZ/ksC205qWSK/cTaFtMXk8pMabGnqOhJXElSvkCzxwqqzSZb8vvDfr4lgRrHwpgUYmKQxDbrEgBJYrSzGTuZYh8lQLlYwwsvBXhsW/9oe2X+lT/42cafz27P4PRz3vlKwe6VAzgA/OqWm/DWy96HC9849EzfnNZdEZl3zt7dtYLLq2jJOci4BK6j+2gry5OSAam25qnLd/zDJX5sk3NbwLLpSHplYQluqveZlMcELF4GwKebfNaVB/q7GdiM91HjWPt5to5PjCeaIDdvJg2xr4ViiNC/AHYQ2hY8YgyFYgW05ZQD6/fO/fi2UfbTC1a14+2XvfuVhNyxdzKnGnv2jSDjuf/l9jsf/Oodd93dNTkxAUopIia6mPoBRyPgCGS70jhMn7Du6sQnCwemtHRAGsAm5VEgTj42uLbdfJ4krH7C8STTO5nxVYgmP5fpH2inkEJNNi2VTu9omqkO3PA/uOUgTgsSeXycNiGdVwAIQoq676ARULCIIIyAiDGUSy04afXZ++YvOv2vIhbekM21HRecHVOZcLrR3dWK6uTkDZdecjZpKzvX/OGBe7q2vDgM13NACcEY5xirMkSMxxZUr8JALADHUTzzRzmcD2Nesq1LONGX9BTXPoL3OcxhJlvF2+T31vnfOhELcjuXMmASuMkwv/qenOvQe/waCRlXnAMRrncB0dRJTpLxqoeJSZFb4gcR6lEZJ64+d9+cvjWfCyJ+Qz5/7HTug41XxMmcahSKRRBCrj/zjNM+fcnF5w+3dXQhm6GY0eHipP4Q+ZKPA5MUYQRheSiBS0m8FIm57Egs4+EgoEvstPipFem0Aa05rL5QE3OWHaMh/Eb7TUyn03zc9MmHeB5U087YwZQOZcQIwpAgDAUVYUw80aUMbaU6xmoTeOKFALv2A42AYubMdqx+w7nDA0tXfzri7Pp8Pn9sT9BBxnGz4Grk83kEoX9j/9JVQ4sW7VrYWuRfH97zuLd4XhVP7QxxYDKDtgKBQ3issMSdp+L6QpmQL19zWktumDFiXAIsRw7G/8RWWfS+NLIPOrkOcVhRe25vs7MPVa53Ip3WfKr5fY3XTbqM5jmLe4/LexW+dyS4HUdY7tZSDaPbAjy4PovFXQQnrzot6JlBPrP8pFWbXS/3G8+bvrXxKzGOO8ABwHMzbMOGjbf+ydsuzowc2FKNquR7weSdhJCQUqIXHxKrvElscbXcnEiNi4sE5DCz8PTGpri0fnntpKpbWjmx1BqgOWqOdBh5Jyp5SmwnIonJOExNcHU+zA+kkq2aflfjrKh8bcL1lULljbOIxD26lTISygTxjMvEUiMsRIQMW77iVN4zZ/FHVp808M/bd+z1e+cvOtowOaJxXCmKOQYG+pF39vmze2bcOL933jJS7P/bSrkPrbkIpTxHMUdQyBLkMgRZjyLjEXiuoCxmPxMr78JKxtD/wthMkjepwCTzV6z1MS3V23g9np5QfBqaYNMj/YLmdzH/Ebkh+nWtVm3Q2nbTS5nxYfUkNaOYWjdRLZhDBgQhgR8Q1H2KaoOiWncwUXMwNulh33AWvd3zccGZ8/921qy+ZZXWzhsfX7fzVQNu4FViwdWYMWsAAGq/u/uGjW8+r/TVu9bOybTn9n9hZP8OBzyA6zogRC3pzBFG4geJZLMPQVXSjhVVqDGsenOCkaQpGuhKpUBCfpRbUu+p3ECgSSED7A+Q3GVlEBrchECsHQmuVQwzyGMGgpJfMg65w7i3pEf5fkzTnzAiCAKKICIIQ7H6gpgYFA0/g87uvmju7MqX1z/of3XVkueixYvOOJ7waTqOm0x4sPHd/3UTrvpv78DefQe+vPaRP/zlE088mZ2cHAc4Q90HGn6EMOLwfY5ag6HW4PBDrhvbJKyVKffFuR4UcKTOTaXzaq2LaeSWUGpYdnnmNCNItFe29HLdUsKUCZ1pZEFioM6SOo1tonDAzFtReSA8bmkn1jFVOSlcHxfLitz+LrLtsh86qNYcVBsUDZ8gCAnqPjBZY/A8B62VEpYsXdFYs+aMfyhX2r+w4ambMLDyHccbMk3HqxbgADA+Pg5HNIm8Zuu2rWv+cP/vKIsm1zyxfsjNZ10QQtDwI+wbYRgeZwgj+0e3QAcTZDoF15GAdhTAHXGMEwPdyClBwhIbZtwEYrIPoZg0aYA3W/jVmjhIPza1fBPkjsN1wpojUo+pXJxXLQqg2ksTaiZccWPCiO1h5ODASAZ7R1zUG2KdSof6GK2VwmKh+NClb7uYze2d91AUsc9lMh5aWlqON1SmHK9qgJvjsT/ejFKLV9qyffK6ex/a8a6CM0SHRmsg3IHPAjy8IYTfIGjJAhn1oxrW0EyqcgyJ0YkfEziOAXQFSkoSlrUZHbFPJjGArKx4PGGsK0Q6q/CQfjTT6lOdoKbArACuV55W+8SNxFmDGtwO5ch4EYp5H5ONCA8/U0Hg5xGEDTAUcfqqduaTOf97vFH8gEuD8XdfcfnxhsQhjVcVB59urD7tT/HUs1vH5/blPnp5x+5Ng1ufOGHdxqHLJoa24y2nTeK5PSE2Dbag4AFwNNc2k44oIJpHEqJ5qhrEVExIU6trOZQwnVhdWqbeWOVe68CMTYptS6zBbV4hTGfZ+qhSXaGyrzbhemVgGn9fEv+NV6WOV8ZLOsfiWEo5ioU6Xhyq49aHW3De0kmcfNJcjFTbblm05JRnFi2Y+e3Jan28pXXB8YbDIY/XDMABYOXyPgDY//gzg3+zfPXb55U6NiOc2HzZ/PZ74Tl1OMgj69JYK+eQq+VKB82REVGmgJBw9JolQDmOALpJRLjU5+J7A4CEq6pyu393M+WlWe6JOZIrq5kaOIHeRmTUkqrK+uTElTeH8NiSE6h1KMWrhRGFHzgIAorRCR8Tfh6Ll67EyasX3TJ3Qd/HuV8dJJlZxxsChz1eMxQlOYaHhkEdb9H40OYVxfzej33rp1vOWffkZjB/AvWAxBax2kD82HM5si6EvKhSch3RzdaViV7mzZE3RTPUEEtKc3HPuFyL0tCWLcdVXw1cR93bZXk6JVi/hoooRgwysqiDWbHlJ4ATpxiLQJjncniuCooxuI4AtecweB4TK1V7DBQcdd9Fte6KqxvhGBnn6OrIYcbsOXhuz6r75s+sfHvF8oVP+36wqb297Xj/5Ec0XlMW3Bxt4oRvCiK+yaF4ZtG8e3vesmblD59ct2HRLbc/5rgkRFvJxdgQsOMAR1sOKEPknKshaEqaOlBKQCW4XYcaFtwIrDARZFLL9JnypBlgIgRxPacqI4u3Ew105TAqy0xk8ArcXrNdzSPF4SE/PSUE3DE/gx3o4TJQ47oMLTkfxUIdg7uL2DOUQ2spQKVE0F05JZrR07+pp2P8ypNOO/slABsJec3aQACvYYCr4TkEADbWq6Mbw4i9hbrZ2ctPXPnL3999f3lmaXfxguIgfnw3wfoXKsi6BEUZ8lcV4sygAAooItdFgNtzNRePKY98b8YIQs4RRVyCT2fwKb2ccsQ9vNVQFEMXdOjPRCTBDiOOSBYiRAyIIiCUVwuAx44rIOmHEfwB7IZJjBFE8rN7LkO5ZRJPbq3hxtuyWNhdwFvP7Z5cseqssZFxdkWuNG9nSJ3B1zqw1XjNA1yNXKGCiLHB095w0va9B8aXt7WQ09vL7H+Wsw+FI/yp9s3beSlkFBmXI58R/LPuq54esPJRFLXwXALPI/AMTh9GQEgIeCiOZRwIQo5ALsmrLDJcuV++XjyUFEg0CE2KQalMrwpoXLMaMfEeYcRkcEsA3HVUE1OCiAJMXp2UuuK5IrW1VndQDQGAopNyRDzCht0947P7zhm67MJl7ow2+v6OGQse7uhpGQU4I6oy+3UwXjcABwC5EgAbG3lpuG/+rNuD+mh/qevaxpvO+dWntux94r07Nm8Nuou1Je1lnntxzyi27GVoLxBQIkL/GngEriu25TJAxhMBE8YAPyBoAHE1C2MMEzWGIOSytpTA8/REiVcjNlQU06EVurX0DzwG1xWv44ccfuiIaGLIEUQMvh/BD0X7Y+oAGVdoQ5Q6cF2VfAUQItYozWVCVFpqWLfZw0S9E9m8W/fy5efbZp7kvf8/nnNjV/c3vnnlO0/Llirl+ou7xtm83uOX1nqsxusK4GqUW3sA0Z2s+vSGzchm3K+7jvP1t71puTOzs/S9SqHWv/bZ585at32fw4kPBoYwDECynuDbUhPPeEAhx1DICWvIOTBZE6DLEKCQFUtyrN8egUUULVmOfFZSBkrgMi57YaNp6mrsKFKOjMuRyzLksxGK+QAhi7BlVxEj4w4cKlo+VGsck/UIHByeS5DLCAriuTSulQxCBo9GyLQAhQJBTzfFi6M9UUd+1QPzZrVsjDD6YUL2RPl8AROjn+ctlUXV4/17HcvxugS4OVYMLAQ0vMJ6bf8Hsrls25y+E7+yfc9dmW1bB6OervzJrUW6ujoxjPHxCUQRRSGXQ87jKBcZysUQxbxYDvG5rRmMT+ZQyFN0tTEsXzSJwdE67nu8DX2dQoZ0HcBjCd5tOXx2cpdDOVyXI5thKBV99HaP4vdPBXhgnYMZpSy6212UigTj9Qg7hiJ4lKCYBVpyESgBchkKAoYw4HCdIlo72lCuRI8VcqOP0/wS54ILL/aJO+PznNWHuzo6jvdP8oqO1z3AkyOX7wSAYQAfAoDbfncPQHAOZ+GFYVC7YmRkcqBarWH4wCAq5QBdrcNoK42jrVzHZNDAo5tnIKw6WDQnA8/lmNMV4R3njuPRF3IYrhZQyESImFERQ1QylrypHHZoh5DEVjxCpehjtDqBXzxQwo59FO0FBtelmNfD0D1jAvc8yzE2lkNbMcKsdhctLTkUCnmsWLkY2WwOIIUN7W2FXxby3u84x33zTzjreJ/y4zr+3QE8OS668DwAuG90dOQ+APfXG8HCAweG2O/vPMB655X7BhYs/iuPP4tinmDTjm14YUcDLfAwu5MjCB0EgYP+2SGWzp/EE+vy6CmL19Whfoj1NakdXeWGts1kjjUhHIVcgEc2cDw/mEGZAgQMnAUoZn1UsqNo6+zGzN5+ZGgDZ6+ch0w0/NUsGd+6YuXptFxppZy4mwlwe2vra1O3Ptrj3z3A1ahUWgHgdvU48neC0Hwr87c8FE6MI+N5QaX75E9c+Z7Cm13morMVGNnzJCIEcJwyWot5tJZyyHh1RFEAcAcEDqJQVCPBoYgihjAUeiTzBNqjUBSL5TIhGHdBaAFwQlQKBVTcLGZ2V3D+BadidhdA3Sr+q+fe8dgmdm2GNLw1p67ACf1z75uo1kd653cd71P4qhz/H+BTDCczGwBGAPwaAIaGdqK1A8+fcQrrpiDMpSGeGt8EIAPGs/C8LKKIBRedf/rVjfrE23IZFhRyLoKAIZuhyGYpwlBoKWHIReFGBvADIJ/l6GyjXmul8G+c/f5q1816xXwGOeqhXC5hYGApyi0uqBPRizoyey46B1vn9fTgO8f7JL0GxutDzX+VjNvueACEkO7du3dXPCfihZyLuh8hmyHIZSj8QFCUIGCiy2oGqPlA3mPoaPNIR+eMUc75nr7+V1/hwGt1/D9RhOvWbZYTbQAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxNzoxMDo1NiswMDowMEkiJikAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTc6MTA6NTYrMDA6MDA4f56VAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 2}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 55462237
    {'hecke_orbit_code': 45036271185166786, 'n': 1, 'trace_an': 4}
  • id: 55462238
    {'hecke_orbit_code': 45036271185166786, 'n': 2, 'trace_an': -2}
  • id: 55462239
    {'hecke_orbit_code': 45036271185166786, 'n': 3, 'trace_an': 2}
  • id: 55462240
    {'hecke_orbit_code': 45036271185166786, 'n': 4, 'trace_an': -2}
  • id: 55462241
    {'hecke_orbit_code': 45036271185166786, 'n': 5, 'trace_an': 0}
  • id: 55462242
    {'hecke_orbit_code': 45036271185166786, 'n': 6, 'trace_an': 2}
  • id: 55462243
    {'hecke_orbit_code': 45036271185166786, 'n': 7, 'trace_an': 4}
  • id: 55462244
    {'hecke_orbit_code': 45036271185166786, 'n': 8, 'trace_an': 4}
  • id: 55462245
    {'hecke_orbit_code': 45036271185166786, 'n': 9, 'trace_an': 2}
  • id: 55462246
    {'hecke_orbit_code': 45036271185166786, 'n': 10, 'trace_an': 0}
  • id: 55462247
    {'hecke_orbit_code': 45036271185166786, 'n': 11, 'trace_an': 2}
  • id: 55462248
    {'hecke_orbit_code': 45036271185166786, 'n': 12, 'trace_an': -4}
  • id: 55462249
    {'hecke_orbit_code': 45036271185166786, 'n': 13, 'trace_an': 0}
  • id: 55462250
    {'hecke_orbit_code': 45036271185166786, 'n': 14, 'trace_an': 4}
  • id: 55462251
    {'hecke_orbit_code': 45036271185166786, 'n': 15, 'trace_an': 0}
  • id: 55462252
    {'hecke_orbit_code': 45036271185166786, 'n': 16, 'trace_an': -2}
  • id: 55462253
    {'hecke_orbit_code': 45036271185166786, 'n': 17, 'trace_an': 4}
  • id: 55462254
    {'hecke_orbit_code': 45036271185166786, 'n': 18, 'trace_an': -4}
  • id: 55462255
    {'hecke_orbit_code': 45036271185166786, 'n': 19, 'trace_an': -12}
  • id: 55462256
    {'hecke_orbit_code': 45036271185166786, 'n': 20, 'trace_an': 0}
  • id: 55462257
    {'hecke_orbit_code': 45036271185166786, 'n': 21, 'trace_an': -16}
  • id: 55462258
    {'hecke_orbit_code': 45036271185166786, 'n': 22, 'trace_an': 2}
  • id: 55462259
    {'hecke_orbit_code': 45036271185166786, 'n': 23, 'trace_an': 4}
  • id: 55462260
    {'hecke_orbit_code': 45036271185166786, 'n': 24, 'trace_an': 2}
  • id: 55462261
    {'hecke_orbit_code': 45036271185166786, 'n': 25, 'trace_an': 0}
  • id: 55462262
    {'hecke_orbit_code': 45036271185166786, 'n': 26, 'trace_an': 0}
  • id: 55462263
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  • id: 55462264
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  • id: 55462265
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  • id: 55462266
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  • id: 55462267
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  • id: 55462268
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  • id: 55462269
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  • id: 55462270
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  • id: 55462271
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  • id: 55462272
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  • id: 55462273
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  • id: 55462274
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  • id: 55462275
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  • id: 55462276
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  • id: 55462277
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  • id: 55462278
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  • id: 55462279
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  • id: 55462280
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  • id: 55462281
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  • id: 55462282
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  • id: 55462283
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  • id: 55462284
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  • id: 55462285
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  • id: 55462286
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  • id: 55462287
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  • id: 55462288
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  • id: 55462289
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  • id: 55462290
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  • id: 55462291
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  • id: 55462292
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  • id: 55462293
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  • id: 55462294
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  • id: 55462295
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  • id: 55462296
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  • id: 55462297
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  • id: 55462298
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  • id: 55462299
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  • id: 55462300
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  • id: 55462301
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  • id: 55462302
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  • id: 55462303
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  • id: 55462304
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  • id: 55462305
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  • id: 55462306
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  • id: 55462307
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  • id: 55462308
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  • id: 55462309
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  • id: 55462310
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  • id: 55462311
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  • id: 55462312
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  • id: 55462313
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  • id: 55462314
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  • id: 55462315
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  • id: 55462316
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  • id: 55462317
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  • id: 55462318
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  • id: 55462319
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  • id: 55462320
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  • id: 55462321
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  • id: 55462322
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  • id: 55462323
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  • id: 55462324
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  • id: 55462325
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  • id: 55462326
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  • id: 55462327
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  • id: 55462328
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  • id: 55462329
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  • id: 55462330
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  • id: 55462331
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  • id: 55462332
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  • id: 55462333
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  • id: 55462334
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  • id: 55462335
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  • id: 55462336
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  • id: 55462337
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  • id: 55462338
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  • id: 55462339
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  • id: 55462340
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  • id: 55462341
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  • id: 55462342
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  • id: 55462343
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  • id: 55462344
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  • id: 55462345
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  • id: 55462346
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  • id: 55462347
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  • id: 55462348
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  • id: 55462349
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  • id: 55462350
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  • id: 55462351
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  • id: 55462352
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  • id: 55462353
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  • id: 55462354
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  • id: 55462355
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  • id: 55462356
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  • id: 55462357
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  • id: 55462358
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  • id: 55462359
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  • id: 55462360
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  • id: 55462361
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  • id: 55462362
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  • id: 55462363
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  • id: 55462364
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  • id: 55462365
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  • id: 55462366
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  • id: 55462367
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  • id: 55462368
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  • id: 55462369
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  • id: 55462370
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  • id: 55462371
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  • id: 55462372
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  • id: 55462373
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  • id: 55462374
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  • id: 55462375
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  • id: 55462376
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  • id: 55462377
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  • id: 55462378
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  • id: 55462379
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  • id: 55462380
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  • id: 55462381
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  • id: 55462382
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  • id: 55462383
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  • id: 55462384
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  • id: 55462385
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  • id: 55462386
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  • id: 55462387
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  • id: 55462388
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  • id: 55462389
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  • id: 55462390
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  • id: 55462391
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  • id: 55462392
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  • id: 55462393
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  • id: 55462394
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  • id: 55462395
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  • id: 55462396
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  • id: 55462397
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  • id: 55462398
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  • id: 55462399
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  • id: 55462400
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  • id: 55462401
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  • id: 55462402
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  • id: 55462403
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  • id: 55462404
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  • id: 55462405
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  • id: 55462406
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  • id: 55462407
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  • id: 55462408
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  • id: 55462409
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  • id: 55462410
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  • id: 55462411
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  • id: 55462412
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  • id: 55462413
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  • id: 55462414
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  • id: 55462415
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  • id: 55462416
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  • id: 55462417
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  • id: 55462418
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  • id: 55462419
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  • id: 55462420
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  • id: 55462421
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  • id: 55462422
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  • id: 55462423
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  • id: 55462424
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  • id: 55462425
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  • id: 55462426
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  • id: 55462427
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  • id: 55462428
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  • id: 55462429
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  • id: 55462430
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  • id: 55462431
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  • id: 55462432
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  • id: 55462433
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  • id: 55462434
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  • id: 55462435
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  • id: 55462436
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  • id: 55462437
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  • id: 55462438
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  • id: 55462439
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  • id: 55462440
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  • id: 55462441
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  • id: 55462442
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  • id: 55462443
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  • id: 55462444
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  • id: 55462445
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  • id: 55462446
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  • id: 55462447
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  • id: 55462448
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  • id: 55462449
    {'hecke_orbit_code': 45036271185166786, 'n': 701, 'trace_an': -40}
  • id: 55462450
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  • id: 55462451
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  • id: 55462452
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  • id: 55462453
    {'hecke_orbit_code': 45036271185166786, 'n': 729, 'trace_an': 92}
  • id: 55462454
    {'hecke_orbit_code': 45036271185166786, 'n': 733, 'trace_an': 8}
  • id: 55462455
    {'hecke_orbit_code': 45036271185166786, 'n': 739, 'trace_an': -20}
  • id: 55462456
    {'hecke_orbit_code': 45036271185166786, 'n': 743, 'trace_an': -36}
  • id: 55462457
    {'hecke_orbit_code': 45036271185166786, 'n': 751, 'trace_an': 8}
  • id: 55462458
    {'hecke_orbit_code': 45036271185166786, 'n': 757, 'trace_an': 40}
  • id: 55462459
    {'hecke_orbit_code': 45036271185166786, 'n': 761, 'trace_an': 48}
  • id: 55462460
    {'hecke_orbit_code': 45036271185166786, 'n': 769, 'trace_an': 0}
  • id: 55462461
    {'hecke_orbit_code': 45036271185166786, 'n': 773, 'trace_an': -24}
  • id: 55462462
    {'hecke_orbit_code': 45036271185166786, 'n': 787, 'trace_an': -44}
  • id: 55462463
    {'hecke_orbit_code': 45036271185166786, 'n': 797, 'trace_an': -32}
  • id: 55462464
    {'hecke_orbit_code': 45036271185166786, 'n': 809, 'trace_an': 12}
  • id: 55462465
    {'hecke_orbit_code': 45036271185166786, 'n': 811, 'trace_an': -20}
  • id: 55462466
    {'hecke_orbit_code': 45036271185166786, 'n': 821, 'trace_an': 40}
  • id: 55462467
    {'hecke_orbit_code': 45036271185166786, 'n': 823, 'trace_an': -24}
  • id: 55462468
    {'hecke_orbit_code': 45036271185166786, 'n': 827, 'trace_an': 16}
  • id: 55462469
    {'hecke_orbit_code': 45036271185166786, 'n': 829, 'trace_an': -96}
  • id: 55462470
    {'hecke_orbit_code': 45036271185166786, 'n': 839, 'trace_an': -56}
  • id: 55462471
    {'hecke_orbit_code': 45036271185166786, 'n': 841, 'trace_an': -14}
  • id: 55462472
    {'hecke_orbit_code': 45036271185166786, 'n': 853, 'trace_an': -16}
  • id: 55462473
    {'hecke_orbit_code': 45036271185166786, 'n': 857, 'trace_an': -48}
  • id: 55462474
    {'hecke_orbit_code': 45036271185166786, 'n': 859, 'trace_an': 2}
  • id: 55462475
    {'hecke_orbit_code': 45036271185166786, 'n': 863, 'trace_an': -96}
  • id: 55462476
    {'hecke_orbit_code': 45036271185166786, 'n': 877, 'trace_an': -76}
  • id: 55462477
    {'hecke_orbit_code': 45036271185166786, 'n': 881, 'trace_an': -120}
  • id: 55462478
    {'hecke_orbit_code': 45036271185166786, 'n': 883, 'trace_an': 36}
  • id: 55462479
    {'hecke_orbit_code': 45036271185166786, 'n': 887, 'trace_an': 24}
  • id: 55462480
    {'hecke_orbit_code': 45036271185166786, 'n': 907, 'trace_an': -6}
  • id: 55462481
    {'hecke_orbit_code': 45036271185166786, 'n': 911, 'trace_an': -24}
  • id: 55462482
    {'hecke_orbit_code': 45036271185166786, 'n': 919, 'trace_an': 24}
  • id: 55462483
    {'hecke_orbit_code': 45036271185166786, 'n': 929, 'trace_an': 72}
  • id: 55462484
    {'hecke_orbit_code': 45036271185166786, 'n': 937, 'trace_an': 80}
  • id: 55462485
    {'hecke_orbit_code': 45036271185166786, 'n': 941, 'trace_an': 80}
  • id: 55462486
    {'hecke_orbit_code': 45036271185166786, 'n': 947, 'trace_an': -18}
  • id: 55462487
    {'hecke_orbit_code': 45036271185166786, 'n': 953, 'trace_an': 164}
  • id: 55462488
    {'hecke_orbit_code': 45036271185166786, 'n': 961, 'trace_an': 18}
  • id: 55462489
    {'hecke_orbit_code': 45036271185166786, 'n': 967, 'trace_an': -28}
  • id: 55462490
    {'hecke_orbit_code': 45036271185166786, 'n': 971, 'trace_an': 24}
  • id: 55462491
    {'hecke_orbit_code': 45036271185166786, 'n': 977, 'trace_an': 66}
  • id: 55462492
    {'hecke_orbit_code': 45036271185166786, 'n': 983, 'trace_an': -16}
  • id: 55462493
    {'hecke_orbit_code': 45036271185166786, 'n': 991, 'trace_an': 16}
  • id: 55462494
    {'hecke_orbit_code': 45036271185166786, 'n': 997, 'trace_an': -12}