Newform data - 729.2.a.b

Formats: - HTML - YAML - JSON - 2026-04-17T12:04:31.974207

• 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': 2916, 'analytic_conductor': 5.82109430735134, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1]], 'atkin_lehner_string': '-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [729, 1, [2], [1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 6, 'field_disc': 7459857, 'field_disc_factorization': [[3, 9], [379, 1]], 'field_poly': [-8, -12, 12, 13, -6, -3, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-3, 18, 0, -21, -6, 3, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599660925657, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '729.2.a.b', 'level': 729, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'minimal_twist': '729.2.a.b', 'nf_label': '6.6.7459857.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-\\beta _{1}-\\beta _{3})q^{2}+(1+\\beta _{1}+\\beta _{2}+\\beta _{4}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '729.2.a', 'trace_display': [-3, 0, 3, 6], 'trace_hash': 109766499157733312, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.105', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.691', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.882', 'prec': 17}, {'__RealLiteral__': 0, 'data': '92.693', 'prec': 20}, {'__RealLiteral__': 0, 'data': '53.062', 'prec': 20}, {'__RealLiteral__': 0, 'data': '2275.210', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.005', 'prec': 17}, 'traces': [6, -3, 0, 9, 3, 0, 6, -6, 0, 6, 6, 0, 6, -24, 0, 15, 9, 0, 12, 21, 0, 3, 12, 0, 9, -24, 0, 3, -21, 0, 15, 0, 0, 0, -30, 0, 3, -15, 0, 3, 12, 0, 6, 33, 0, -3, 15, 0, 12, 24, 0, 3, 9, 0, 15, -12, 0, -15, -6, 0, 24, 30, 0, 6, 15, 0, 15, -36, 0, -15, 0, 0, 12, -24, 0, 9, -15, 0, 24, 21, 0, -21, 6, 0, -18, 30, 0, -21, 9, 0, 18, -6, 0, -6, 33, 0, -21, -18, 0, -15, 6, 0, 24, -30, 0, -27, 36, 0, -6, 54, 0, -21, 3, 0, 3, 33, 0, -30, 18, 0, 0, 30, 0, -6, -39, 0, 12, -66, 0, -60, -6, 0, -15, -42, 0, -9, -39, 0, 15, -21, 0, -54, -33, 0, -21, -51, 0, -63, 39, 0, 24, -75, 0, -57, -3, 0, -21, 12, 0, -36, -3, 0, -15, 84, 0, -6, -69, 0, -6, 9, 0, -60, 24, 0, 3, 42, 0, -27, 27, 0, -15, -3, 0, -51, -66, 0, 0, 15, 0, -42, 33, 0, -12, -15, 0, 3, 27, 0, 30, 30, 0, -24, 3, 0, -15, -6, 0, -3, 12, 0, 24, -27, 0, -36, 6, 0, 0, 12, 0, 6, 9, 0, 15, 27, 0, 15, -39, 0, 6, -45, 0, -30, -27, 0, -3, 39, 0, -18, 30, 0, -3, -3, 0, 66, -54, 0, 57, 69, 0, 12, -36, 0, -21, 21, 0, 9, -15, 0, 66, -12, 0, 15, -93, 0, -18, -3, 0, 39, 18, 0, 75, -36, 0, 3, -3, 0, -30, -33, 0, -3, -12, 0, 15, -36, 0, 15, 24, 0, -21, -9, 0, 99, 30, 0, 48, -39, 0, -57, 33, 0, 0, 21, 0, 66, 33, 0, 48, 39, 0, 84, 12, 0, 15, 84, 0, 129, 69, 0, 30, 84, 0, 30, 36, 0, -42, -105, 0, -78, 66, 0, 6, -39, 0, 114, 15, 0, -30, -36, 0, -54, 12, 0, 45, 114, 0, 93, 39, 0, -30, -6, 0, 0, -39, 0, 0, -45, 0, 0, -36, 0, 0, -60, 0, 48, -57, 0, 33, 93, 0, -6, 36, 0, -48, -9, 0, 123, -51, 0, 12, 6, 0, -6, -60, 0, -78, 3, 0, -78, 15, 0, 36, 45, 0, 54, 114, 0, -51, -33, 0, 36, -87, 0, -36, -3, 0, 33, 3, 0, 6, -9, 0, 111, 6, 0, -12, -45, 0, 6, -87, 0, -12, 12, 0, -63, 36, 0, -36, 153, 0, 12, -81, 0, -24, -66, 0, 81, 69, 0, 87, -9, 0, 45, -39, 0, -99, 21, 0, -39, -54, 0, 33, 57, 0, -24, 75, 0, -66, 111, 0, 93, -39, 0, -12, 24, 0, 45, 9, 0, 0, 63, 0, 12, -78, 0, -27, 45, 0, 15, -75, 0, 3, -51, 0, -6, -30, 0, 57, 6, 0, 99, -33, 0, -90, -57, 0, -12, 36, 0, 24, -3, 0, 126, -45, 0, -30, 27, 0, -36, -24, 0, 93, -51, 0, 60, 78, 0, -33, -21, 0, -84, 72, 0, 3, 66, 0, 66, 45, 0, -36, -126, 0, 51, -30, 0, 54, -183, 0, -63, 45, 0, -87, 12, 0, 117, 60, 0, 15, -165, 0, 39, -78, 0, -54, 93, 0, 66, -54, 0, 36, -66, 0, -24, 21, 0, -33, -33, 0, -108, 69, 0, -75, -51, 0, -33, 48, 0, -24, 69, 0, -48, 12, 0, -90, -75, 0, 114, -39, 0, -24, -45, 0, -105, 18, 0, -90, -33, 0, -60, -15, 0, 15, 6, 0, 21, 3, 0, 105, -72, 0, 57, 30, 0, -78, 57, 0, -78, 30, 0, -21, 87, 0, 69, 135, 0, -84, 3, 0, -132, 117, 0, -33, 42, 0, -141, -57, 0, -39, -135, 0, -147, 51, 0, -21, -57, 0, 99, -108, 0, -21, 3, 0, 9, -6, 0, 57, 210, 0, -147, -156, 0, -30, 183, 0, -30, 12, 0, -93, -222, 0, -51, 30, 0, -48, 84, 0, 3, 51, 0, 36, -18, 0, 87, -117, 0, -129, 6, 0, -120, 90, 0, -39, 42, 0, -84, -102, 0, -63, 93, 0, -117, -81, 0, 15, -21, 0, -15, 39, 0, -39, -108, 0, 72, 24, 0, -60, 180, 0, -189, -63, 0, -36, 9, 0, -9, -66, 0, 24, 93, 0, 12, 54, 0, -12, -195, 0, -81, 75, 0, -33, -201, 0, 72, 12, 0, -24, 102, 0, -45, 54, 0, 60, -147, 0, 87, 105, 0, -15, -6, 0, -165, 48, 0, -96, 123, 0, 33, 78, 0, -3, 36, 0, 39, -63, 0, 102, 51, 0, 75, -21, 0, -18, 81, 0, -132, -21, 0, -21, -72, 0, 129, 33, 0, -36, 120, 0, 198, -42, 0, 9, 54, 0, 123, 48, 0, -39, -30, 0, -57, -54, 0, -33, 66, 0, -138, -66, 0, -6, 30, 0, 210, 42, 0, -39, -48, 0, -33, 63, 0, 57, -99, 0, 159, 63, 0, -87, -33, 0, -75, 33, 0, 45, 156, 0, -51, 90, 0, 30, 63, 0, -27, -3, 0, -30, -48, 0, 18, -21, 0, -66, 24, 0, 225, 27, 0, -12, 3, 0, -105, 111, 0, 36, -102, 0, -69, 3, 0, -48, -96, 0, 186, -99, 0, -69, -18, 0, 84, 156, 0, 21, 63, 0, 3, -69, 0, 81, 48, 0, -45, -105, 0, 36, -90, 0, 84, -3, 0, 15, -102, 0, -21, 6, 0, -87, -6, 0, 3, -111, 0, 84, -90, 0, 237, 108, 0, 9, -69, 0, -117, -129, 0, -75, -153, 0, -45, 27, 0, 30, -21, 0, 6, -78, 0, 39, -69, 0, 186, -57, 0, -42, 21, 0, 72, 9, 0, -39, -42, 0, 3, 57, 0, -51, 168, 0, 12, -48, 0, -3, 84, 0, -105, -9, 0, 99, -33, 0, 204, 39, 0, -18, -126, 0, 15, 150, 0, 81, -18, 0, 123, 42, 0, 39, 135, 0, 18, 51, 0, 78, -33, 0, 96], 'weight': 2, 'weight_parity': 1}
• mf_hecke_nf •

  Column	Type
  an	jsonb
  ap	jsonb
  char_orbit_index	smallint
  field_poly	numeric[]
  hecke_orbit_code	bigint
  hecke_ring_character_values	jsonb
  hecke_ring_cyclotomic_generator	integer
  hecke_ring_denominators	numeric[]
  hecke_ring_inverse_denominators	numeric[]
  hecke_ring_inverse_numerators	numeric[]
  hecke_ring_numerators	numeric[]
  hecke_ring_power_basis	boolean
  hecke_ring_rank	integer
  label	text
  level	integer
  maxp	integer
  weight	smallint

  
  {'an': [[1, 0, 0, 0, 0, 0], [0, -1, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0], [1, 1, 1, 0, 1, -1], [0, 0, 0, -1, 1, 0], [0, 0, 0, 0, 0, 0], [1, 1, 0, 1, -1, 0], [0, -1, 0, -3, -1, 0], [0, 0, 0, 0, 0, 0], [2, -1, -1, -1, 0, -1], [1, 0, -1, 1, 1, -1], [0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1], [-4, -1, 1, 0, 0, 1], [0, 0, 0, 0, 0, 0], [2, 0, 3, 1, 2, -1], [2, -1, -2, 1, -1, 1], [0, 0, 0, 0, 0, 0], [1, 0, -1, 1, 1, 1], [4, -1, 5, -3, 1, -1], [0, 0, 0, 0, 0, 0], [1, -2, 1, -5, 0, 1], [2, -1, 1, 0, 0, 1], [0, 0, 0, 0, 0, 0], [3, -2, 1, -1, -1, 0], [-3, -1, -3, 3, -1, 0], [0, 0, 0, 0, 0, 0], [-1, 3, -4, 5, 0, 0], [-4, 2, 1, 2, 1, -2], [0, 0, 0, 0, 0, 0], [4, -2, 0, -2, -1, 0], [2, -2, -5, -1, -3, 1], [0, 0, 0, 0, 0, 0], [-1, 0, 0, 2, 1, 1], [-7, 2, 1, -1, 1, 1], [0, 0, 0, 0, 0, 0], [1, 0, -4, 4, -2, 1], [-1, -2, -5, 1, -2, 1], [0, 0, 0, 0, 0, 0], [3, -2, 1, -6, -2, -1], [2, 1, 4, 1, 1, -2], [0, 0, 0, 0, 0, 0], [2, -2, 0, -4, -2, 2], [6, 1, 3, 0, 1, -3], [0, 0, 0, 0, 0, 0], [1, -1, -4, 1, -2, 0], [3, 1, 0, -3, -2, 0], [0, 0, 0, 0, 0, 0], [3, 1, -3, 2, -2, -1], [4, 0, 2, -2, 1, -1], [0, 0, 0, 0, 0, 0], [-2, 3, 2, 4, 1, 1], [1, 0, 2, 0, -1, 2], [0, 0, 0, 0, 0, 0], [4, -4, 2, -2, 1, 0], [-3, 0, -3, 1, -1, 3], [0, 0, 0, 0, 0, 0], [-3, 1, 1, -3, -2, 2], [-3, 3, 0, -1, 1, 0], [0, 0, 0, 0, 0, 0], [5, -2, 4, -3, 1, -1], [5, -1, 4, -3, 3, -2], [0, 0, 0, 0, 0, 0], [-3, 3, 3, 2, 4, 1], [1, 2, -1, 2, -1, 2], [0, 0, 0, 0, 0, 0], [1, 1, -2, 5, 2, 0], [-6, 2, -3, 1, -2, 0], [0, 0, 0, 0, 0, 0], [-3, 4, -5, 9, -2, -1], [-2, 2, -4, 4, 0, 2], [0, 0, 0, 0, 0, 0], [2, 3, 3, 3, 0, -3], [-7, 1, 1, 4, 1, 4], [0, 0, 0, 0, 0, 0], [-2, 5, 7, 4, 3, -1], [-3, 4, -3, 7, 0, -3], [0, 0, 0, 0, 0, 0], [3, 1, 0, -3, 3, -2], [1, 3, 2, 2, 6, -4], [0, 0, 0, 0, 0, 0], [0, -4, -1, -9, -4, 1], [1, -1, 2, -1, -1, 2], [0, 0, 0, 0, 0, 0], [-5, 0, -6, 1, 2, 2], [4, 2, 2, 6, 4, -4], [0, 0, 0, 0, 0, 0], [0, -4, 2, -6, -1, -2], [3, 1, -3, 2, -4, 0], [0, 0, 0, 0, 0, 0], [2, 1, 3, -6, 0, 1], [-5, 4, 5, 1, 5, -1], [0, 0, 0, 0, 0, 0], [-1, -2, 7, -1, 5, -3], [4, 0, -4, 4, 1, 2], [0, 0, 0, 0, 0, 0], [-4, 1, 0, -1, -2, 2], [-5, -2, 8, -4, 4, 2], [0, 0, 0, 0, 0, 0], [-2, -1, -1, -6, 2, -2]], 'ap': [[0, -1, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, -1, 1, 0], [1, 1, 0, 1, -1, 0], [1, 0, -1, 1, 1, -1], [0, 1, 0, 0, 0, 1], [2, -1, -2, 1, -1, 1], [1, 0, -1, 1, 1, 1], [2, -1, 1, 0, 0, 1], [-4, 2, 1, 2, 1, -2], [4, -2, 0, -2, -1, 0], [1, 0, -4, 4, -2, 1], [2, 1, 4, 1, 1, -2], [2, -2, 0, -4, -2, 2], [3, 1, 0, -3, -2, 0], [1, 0, 2, 0, -1, 2], [-3, 3, 0, -1, 1, 0], [5, -2, 4, -3, 1, -1], [1, 1, -2, 5, 2, 0], [-2, 2, -4, 4, 0, 2], [2, 3, 3, 3, 0, -3], [3, 1, 0, -3, 3, -2], [1, -1, 2, -1, -1, 2], [3, 1, -3, 2, -4, 0], [-4, 1, 0, -1, -2, 2], [1, 1, -7, 6, 0, -1], [3, 1, -2, 1, 3, -2], [5, 3, 4, -3, 1, -2], [-2, 0, 2, 1, 4, -2], [2, 0, 7, -4, -1, -2], [4, -3, 5, -2, -2, 1], [-2, -1, 5, 0, 4, -1], [-5, -1, -1, 2, -4, 2], [4, 1, 3, 4, -1, -3], [6, 1, -3, 1, -3, 3], [3, -2, -5, 1, 3, 1], [-1, -5, 0, -4, -2, 2], [-5, 6, 5, 1, -2, 1], [-8, -6, 2, -4, -3, 2], [8, -6, 7, -5, 0, -2], [4, 2, 2, -2, 3, -4], [-5, 3, -1, 4, 1, 1], [7, -1, 2, 5, 2, -4], [-1, 1, -5, 6, 1, -4], [5, -5, -2, -4, 0, 4], [4, 3, -1, 4, 4, -5], [5, -5, 0, 5, 1, 2], [7, -2, 3, 1, -4, -3], [-10, 0, -2, 4, 3, 4], [3, -5, -9, 0, 3, -2], [-4, -4, 1, -2, -1, 4], [8, -1, 1, -6, -6, 1], [-3, 4, -3, 0, 0, 1], [-1, -5, 4, -7, -3, -2], [-1, -2, 10, -11, -2, 1], [-17, 1, 2, -9, 0, 2], [3, 3, 9, 6, 3, -6], [14, 0, -6, -6, -3, 0], [-2, -5, -6, 1, -1, 0], [-4, 6, -2, -5, 0, -2], [0, 7, 3, -6, 3, -5], [12, -7, -6, 0, -4, -3], [11, -6, 9, -9, -3, 3], [10, -5, -1, -2, -10, -1], [2, 1, 9, -7, 1, -1], [12, 4, 3, 6, -5, 0], [4, -11, -3, -8, 2, 3], [0, -2, 3, -3, -3, -5], [5, 5, 10, -3, 0, -2], [-3, -8, 0, 0, 0, 4], [-12, 5, 6, -7, 6, 0], [-11, 10, 5, 11, 1, -1], [0, 7, -5, 16, 3, 1], [-10, -2, 3, -7, 7, -1], [4, 0, -4, 4, -2, -2], [-7, 0, 1, 5, -1, -5], [0, -3, -3, -8, 5, 3], [-5, -6, -4, -2, -2, 1], [-14, -4, -7, -3, 1, 2], [1, 4, 0, -11, -1, -3], [-18, 7, -9, 4, -3, 3], [5, -11, 0, -4, -5, 2], [-10, -9, 1, -12, 1, 1], [-5, -3, -7, 7, 1, 4], [14, -2, -8, 6, -5, 8], [-1, -9, -20, 13, -6, 4], [-12, 5, -3, -2, -2, 3], [-12, 1, 6, 0, 0, 1], [-1, -10, -2, -10, 1, -2], [-8, 7, 9, -2, 8, -3], [2, 1, 13, -4, -3, 1], [-11, 4, 5, 3, 0, -7], [4, 3, 5, -8, 7, 1], [-8, -3, -13, 8, 3, 5], [4, 1, 19, -4, 2, -3], [-2, -4, 14, 4, -3, -4], [-5, -4, -7, 9, 1, 5], [15, -2, -12, 2, -4, 0], [11, -15, 0, -9, -6, 0], [-14, 3, -10, 1, -5, 1], [-1, 7, -14, 3, -2, 2], [-17, 8, 2, 7, 9, -1], [1, 2, 11, -3, -2, 5], [16, -1, 5, -7, -7, -1], [-11, -2, 9, 7, 2, -3], [-1, 3, 0, -12, -3, -6], [-7, -5, -2, -3, -4, 10], [-8, 9, -13, 15, 8, 5], [-2, -3, 11, 8, -3, 5], [-2, 10, -3, 19, 11, -12], [18, 1, 3, 0, -3, 1], [-13, 3, 3, 6, 0, -3], [5, 2, -5, 0, 3, -5], [-2, -2, -2, 8, 5, -6], [-8, 3, -1, -2, -5, 7], [13, -8, -7, 6, 6, -7], [-3, 1, -8, 13, 0, -2], [-22, 12, -8, 0, -8, 4], [2, -3, 10, -1, -7, 4], [-26, 3, -7, 10, -2, -1], [-2, -8, 10, -7, -4, 6], [-12, 7, 9, -3, 6, -5], [0, 14, -12, 8, 3, 0], [-21, -5, 0, -1, 8, 0], [-7, 1, -18, 5, -2, 2], [-11, -3, -1, 3, -4, 2], [-11, 1, 12, -2, 2, 6], [-17, 11, 8, 7, 6, -4], [4, -11, 1, -16, 8, 3], [-2, -5, -3, -20, 2, 3], [-5, 0, -1, -11, -8, 7], [-3, 7, -12, 13, 9, -6], [17, -2, 21, -1, 1, -13], [-4, 0, 15, -3, 0, 3], [6, -6, -3, 14, 10, 0], [-3, -5, 3, -6, 6, 4], [-6, -7, 9, -11, -5, 3], [5, -8, -5, 9, -8, -1], [-8, 7, 8, 4, -4, -1], [-12, 3, 6, 0, 0, 3], [4, -15, 17, -14, 1, -5], [0, 18, 3, -5, 2, -6], [-15, 7, 18, -9, 12, -2], [3, 5, 0, 1, 10, 0], [7, 6, -1, 7, 4, -5], [2, -4, -8, -4, 1, 10], [-6, 7, 10, 1, -9, 4], [-10, 7, 7, 15, 5, 1], [-10, -2, 0, -4, -2, 2], [5, 0, 1, -15, 4, -5], [-15, 19, 6, 12, 3, -8], [-16, -10, -11, 1, 8, 1], [-11, -12, -1, -11, 10, 1], [36, -16, -12, -12, -10, 6], [2, -2, -18, -10, 1, 2], [9, -5, 0, -3, -11, 0], [14, 0, -6, -6, -6, 6], [-27, 3, 3, 7, 8, 0], [1, 9, 8, -14, 1, -2], [-17, 8, 2, 3, 1, -1], [-9, 2, 15, -7, 6, -9], [-5, 16, 11, -4, -2, -1], [-3, 1, -26, 7, 0, 4], [-2, 3, -19, 30, -1, -1], [3, 3, -6, -13, 4, 0], [24, -3, 3, 4, 8, -3], [2, 3, -21, 18, -3, 9], [19, -11, -5, -13, -1, 0]], 'char_orbit_index': 1, 'field_poly': [-8, -12, 12, 13, -6, -3, 1], 'hecke_orbit_code': 4503599660925657, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 2, 4, 2, 4], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [3, 1, 0, -1, -1, 1], [4, 5, 0, -5, -2, 3], [20, 12, 2, -19, -10, 13], [53, 45, 6, -70, -29, 44]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [4, 7, -4, -3, 1, 0], [-8, 8, 13, -6, -3, 1], [2, 4, 7, -4, -3, 1], [-16, 12, 31, -14, -9, 3]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'label': '729.2.a.b', 'level': 729, 'maxp': 997, 'weight': 2}
• mf_newspaces •

  Column	Type
  ALdims	integer[]
  ALdims_eis_new	integer[]
  ALdims_eis_old	integer[]
  ALdims_old	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

  
  {'ALdims': [12, 18], 'ALdims_eis_new': [6, 6], 'ALdims_eis_old': [11, 12], 'ALdims_old': [16, 18], 'Nk2': 2916, 'analytic_conductor': 5.82109430735134, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [729, 1, [2], [1]], 'conrey_index': 1, 'cusp_dim': 64, 'dim': 30, 'eis_dim': 35, 'eis_new_dim': 12, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 33555161, 'hecke_orbit_dims': [6, 6, 6, 6, 6], 'label': '729.2.a', 'level': 729, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'mf_dim': 99, 'mf_new_dim': 42, 'num_forms': 5, 'plus_dim': 12, 'prim_orbit_index': 1, 'relative_dim': 30, 'sturm_bound': 162, 'trace_bound': 4, 'trace_display': [0, 0, 0, 0], 'traces': [30, 0, 0, 24, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 12, 0, 0, 6, 0, 0, 12, 0, 0, 6, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 12, 0, 0, 0, 0, 0, 6, 0, 0, -6, 0, 0, 24, 0, 0, -12, 0, 0, -24, 0, 0, 18, 0, 0, -6, 0, 0, 18, 0, 0, 30, 0, 0, 24, 0, 0, 12, 0, 0, 0, 0, 0, -66, 0, 0, -54, 0, 0, 24, 0, 0, 24, 0, 0, 12, 0, 0, -54, 0, 0, -18, 0, 0, 18, 0, 0, -54, 0, 0, -12, 0, 0, 18, 0, 0, 30, 0, 0, 6, 0, 0, -30, 0, 0, -48, 0, 0, 6, 0, 0, -42, 0, 0, 18, 0, 0, 36, 0, 0, 0, 0, 0, -108, 0, 0, -48, 0, 0, -96, 0, 0, 18, 0, 0, -102, 0, 0, 0, 0, 0, -36, 0, 0, 42, 0, 0, 30, 0, 0, -42, 0, 0, -102, 0, 0, 42, 0, 0, 54, 0, 0, -48, 0, 0, -96, 0, 0, 54, 0, 0, 48, 0, 0, 18, 0, 0, -24, 0, 0, 6, 0, 0, -42, 0, 0, 30, 0, 0, 54, 0, 0, 54, 0, 0, -108, 0, 0, 6, 0, 0, 42, 0, 0, 54, 0, 0, 60, 0, 0, 54, 0, 0, -156, 0, 0, 60, 0, 0, -72, 0, 0, 0, 0, 0, 60, 0, 0, 72, 0, 0, -24, 0, 0, 60, 0, 0, -48, 0, 0, 72, 0, 0, 60, 0, 0, 54, 0, 0, 96, 0, 0, 6, 0, 0, -132, 0, 0, -54, 0, 0, -30, 0, 0, 54, 0, 0, 78, 0, 0, -60, 0, 0, 84, 0, 0, -6, 0, 0, -120, 0, 0, 60, 0, 0, 132, 0, 0, 78, 0, 0, 120, 0, 0, 54, 0, 0, 114, 0, 0, 66, 0, 0, 84, 0, 0, -174, 0, 0, -186, 0, 0, 54, 0, 0, 114, 0, 0, -54, 0, 0, -180, 0, 0, 78, 0, 0, 120, 0, 0, -162, 0, 0, -72, 0, 0, 54, 0, 0, 54, 0, 0, -72, 0, 0, 126, 0, 0, 18, 0, 0, -168, 0, 0, -162, 0, 0, 132, 0, 0, 42, 0, 0, -132, 0, 0, -78, 0, 0, -156, 0, 0, -108, 0, 0, 108, 0, 0, -102, 0, 0, 24, 0, 0, 96, 0, 0, 96, 0, 0, 108, 0, 0, 96, 0, 0, -102, 0, 0, -66, 0, 0, 108, 0, 0, -108, 0, 0, -192, 0, 0, 48, 0, 0, 42, 0, 0, 84, 0, 0, 72, 0, 0, 54, 0, 0, -162, 0, 0, -72, 0, 0, 60, 0, 0, 120, 0, 0, -108, 0, 0, 156, 0, 0, 54, 0, 0, 162, 0, 0, 114, 0, 0, 174, 0, 0, -78, 0, 0, 168, 0, 0, -36, 0, 0, -180, 0, 0, 96, 0, 0, 126, 0, 0, -162, 0, 0, 72, 0, 0, 72, 0, 0, 108, 0, 0, 114, 0, 0, 174, 0, 0, 108, 0, 0, 96, 0, 0, -42, 0, 0, -264, 0, 0, 78, 0, 0, 120, 0, 0, -48, 0, 0, 192, 0, 0, 108, 0, 0, 162, 0, 0, -120, 0, 0, 180, 0, 0, -90, 0, 0, 174, 0, 0, -48, 0, 0, 114, 0, 0, -84, 0, 0, -42, 0, 0, -60, 0, 0, -180, 0, 0, -216, 0, 0, -60, 0, 0, -84, 0, 0, -30, 0, 0, -216, 0, 0, 114, 0, 0, -90, 0, 0, -192, 0, 0, -18, 0, 0, 138, 0, 0, 108, 0, 0, -30, 0, 0, 108, 0, 0, 84, 0, 0, -138, 0, 0, -222, 0, 0, -90, 0, 0, 150, 0, 0, -222, 0, 0, -300, 0, 0, -210, 0, 0, -312, 0, 0, -12, 0, 0, -390, 0, 0, 126, 0, 0, 162, 0, 0, 150, 0, 0, 138, 0, 0, 138, 0, 0, -318, 0, 0, 126, 0, 0, 114, 0, 0, -210, 0, 0, -312, 0, 0, 162, 0, 0, 30, 0, 0, -48, 0, 0, 240, 0, 0, -102, 0, 0, -396, 0, 0, -54, 0, 0, 6, 0, 0, 162, 0, 0, -276, 0, 0, 12, 0, 0, 84, 0, 0, 108, 0, 0, 72, 0, 0, -24, 0, 0, -324, 0, 0, 114, 0, 0, -42, 0, 0, -36, 0, 0, -60, 0, 0, -108, 0, 0, -54, 0, 0, 114, 0, 0, 54, 0, 0, -78, 0, 0, -36, 0, 0, 108, 0, 0, -30, 0, 0, -156, 0, 0, -228, 0, 0, -198, 0, 0, 222, 0, 0, 162, 0, 0, 186, 0, 0, 168, 0, 0, -96, 0, 0, 108, 0, 0, -420, 0, 0, -36, 0, 0, 246, 0, 0, -102, 0, 0, 228, 0, 0, 108, 0, 0, 222, 0, 0, -84, 0, 0, 24, 0, 0, -228, 0, 0, -174, 0, 0, 180, 0, 0, 282, 0, 0, -162, 0, 0, -132, 0, 0, -102, 0, 0, 324, 0, 0, -276, 0, 0, -282, 0, 0, -30, 0, 0, 78, 0, 0, 6, 0, 0, 54, 0, 0, -252, 0, 0, -54, 0, 0, -216, 0, 0, 216, 0, 0, 42, 0, 0, -234, 0, 0, -264, 0, 0, -438, 0, 0, -108, 0, 0, 330, 0, 0, -102, 0, 0, 282, 0, 0, 18, 0, 0, 204, 0, 0, 216, 0, 0, -216, 0, 0, 0, 0, 0, 282, 0, 0, 216, 0, 0, -174, 0, 0, -42, 0, 0, 240, 0, 0, 168, 0, 0, 138, 0, 0, -24, 0, 0, -144, 0, 0, -156, 0, 0, -216, 0, 0, 60, 0, 0, -12, 0, 0, 30, 0, 0, 258, 0, 0, -54, 0, 0, 126, 0, 0, 222, 0, 0, 282, 0, 0, -258, 0, 0, 276, 0, 0, -306, 0, 0, -276, 0, 0, 168, 0, 0, 252, 0, 0, -162, 0, 0, 276, 0, 0, -216, 0, 0, 210, 0, 0, 240, 0, 0, 198, 0, 0, 180, 0, 0, 150], 'weight': 2, 'weight_parity': 1}
• mf_twists_nf •

  Column	Type
  conductor	integer
  degree	integer
  multiplicity	smallint
  order	integer
  parity	smallint
  self_twist_disc	integer
  source_char_orbit	smallint
  source_dim	integer
  source_hecke_orbit	integer
  source_is_minimal	boolean
  source_label	text
  source_level	integer
  target_char_orbit	smallint
  target_dim	integer
  target_hecke_orbit	integer
  target_is_minimal	boolean
  target_label	text
  target_level	integer
  twist_class_label	text
  twist_class_level	integer
  twisting_char_label	text
  twisting_char_orbit	smallint
  weight	smallint

  
  
  • id: 473278
    {'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '729.2.a.b', 'source_level': 729, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '729.2.a.b', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
  • id: 473279
    {'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '729.2.a.b', 'source_level': 729, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '729.2.a.e', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
  • id: 473280
    {'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '729.2.a.b', 'source_level': 729, 'target_char_orbit': 3, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '729.2.c.a', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
  • id: 473281
    {'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '729.2.a.b', 'source_level': 729, 'target_char_orbit': 3, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '729.2.c.d', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
  • id: 473282
    {'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '729.2.a.b', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '729.2.e.j', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
  • id: 473283
    {'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '729.2.a.b', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '729.2.e.k', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
  • id: 473284
    {'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '729.2.a.b', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '729.2.e.l', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
  • id: 473285
    {'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '729.2.a.b', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '729.2.e.s', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
  • id: 473286
    {'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '729.2.a.b', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '729.2.e.t', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
  • id: 473287
    {'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '729.2.a.b', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '729.2.e.u', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 1259750
    {'charpoly_factorization': [[[-3, 18, 0, -21, -6, 3, 1], 1]], 'hecke_orbit_code': 4503599660925657, 'p': 2}
  • id: 1259751
    {'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 4503599660925657, 'p': 3}
  • id: 1259752
    {'charpoly_factorization': [[[159, -189, 9, 57, -15, -3, 1], 1]], 'hecke_orbit_code': 4503599660925657, 'p': 5}
  • id: 1259753
    {'charpoly_factorization': [[[136, -288, -6, 83, -9, -6, 1], 1]], 'hecke_orbit_code': 4503599660925657, 'p': 7}
  • id: 1259754
    {'charpoly_factorization': [[[888, -648, -90, 141, -15, -6, 1], 1]], 'hecke_orbit_code': 4503599660925657, 'p': 11}
  • id: 1259755
    {'charpoly_factorization': [[[-89, -108, 75, 74, -18, -6, 1], 1]], 'hecke_orbit_code': 4503599660925657, 'p': 13}
  • id: 1259756
    {'charpoly_factorization': [[[459, -486, -108, 135, 0, -9, 1], 1]], 'hecke_orbit_code': 4503599660925657, 'p': 17}
  • id: 1259757
    {'charpoly_factorization': [[[-296, -588, -84, 155, 15, -12, 1], 1]], 'hecke_orbit_code': 4503599660925657, 'p': 19}
  • id: 1259758
    {'charpoly_factorization': [[[456, 396, -756, 201, 21, -12, 1], 1]], 'hecke_orbit_code': 4503599660925657, 'p': 23}
  • id: 1259759
    {'charpoly_factorization': [[[9879, 585, -2277, -219, 111, 21, 1], 1]], 'hecke_orbit_code': 4503599660925657, 'p': 29}
  • id: 1259760
    {'charpoly_factorization': [[[-1016, 2088, -1338, 227, 45, -15, 1], 1]], 'hecke_orbit_code': 4503599660925657, 'p': 31}
  • id: 1259761
    {'charpoly_factorization': [[[-16109, -9237, 3165, 461, -129, -3, 1], 1]], 'hecke_orbit_code': 4503599660925657, 'p': 37}
  • id: 1259762
    {'charpoly_factorization': [[[23109, -13329, -126, 849, -60, -12, 1], 1]], 'hecke_orbit_code': 4503599660925657, 'p': 41}
  • id: 1259763
    {'charpoly_factorization': [[[17344, -13536, 1776, 632, -108, -6, 1], 1]], 'hecke_orbit_code': 4503599660925657, 'p': 43}
  • id: 1259764
    {'charpoly_factorization': [[[17736, -16596, -576, 1059, -42, -15, 1], 1]], 'hecke_orbit_code': 4503599660925657, 'p': 47}
  • id: 1259765
    {'charpoly_factorization': [[[1944, -14580, 1620, 729, -81, -9, 1], 1]], 'hecke_orbit_code': 4503599660925657, 'p': 53}
  • id: 1259766
    {'charpoly_factorization': [[[-408, 1404, 684, -375, -105, 6, 1], 1]], 'hecke_orbit_code': 4503599660925657, 'p': 59}
  • id: 1259767
    {'charpoly_factorization': [[[1576, -3564, -3264, 551, 117, -24, 1], 1]], 'hecke_orbit_code': 4503599660925657, 'p': 61}
  • id: 1259768
    {'charpoly_factorization': [[[-17288, -13644, 1794, 1019, -54, -15, 1], 1]], 'hecke_orbit_code': 4503599660925657, 'p': 67}
  • id: 1259769
    {'charpoly_factorization': [[[29376, -20736, 2592, 864, -180, 0, 1], 1]], 'hecke_orbit_code': 4503599660925657, 'p': 71}
  • id: 1259770
    {'charpoly_factorization': [[[57601, -37020, 159, 2054, -156, -12, 1], 1]], 'hecke_orbit_code': 4503599660925657, 'p': 73}
  • id: 1259771
    {'charpoly_factorization': [[[-93176, 78372, -23622, 2675, 27, -24, 1], 1]], 'hecke_orbit_code': 4503599660925657, 'p': 79}
  • id: 1259772
    {'charpoly_factorization': [[[4344, -5976, 954, 501, -87, -6, 1], 1]], 'hecke_orbit_code': 4503599660925657, 'p': 83}
  • id: 1259773
    {'charpoly_factorization': [[[-123957, -17577, 10395, 999, -225, -9, 1], 1]], 'hecke_orbit_code': 4503599660925657, 'p': 89}
  • id: 1259774
    {'charpoly_factorization': [[[-18251, -28098, -10482, -1159, 72, 21, 1], 1]], 'hecke_orbit_code': 4503599660925657, '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': 1, 'hecke_orbit': 2, 'label': '729.2.a.b', 'level': 729, 'portrait': 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AI6A8Ew9ljtCzZNGZbbhuMLiorns2kGts2HbJwdsmF2xKbZEds2WnZsUly63aOq6hw53uRrz/k88VLMM8ciEtXlW1/T5t23WqpqlpeOtThyWnPqXMLZpYjji5aDS5brL1/kp9+/yvbZKU4vtji3UmGlrVnpSNa6Cb1BwmAoOHh0if3H25c+sX/htYdPLuw6evrcl25+03eED3z5k680JP5St7/RDL621qY/sniKX7j/yUO3/uSvfFK+99bDt/7Ld53WCyubWG5PsbxWYbXjs9JRrHRgpZ2w2o5YbiecWYVDy4L5+TX+0/cuc8NFNU4szHD6XJ3TS5qFZcvZpZiTiwnnujGtmSGvvrLHTZeAL6sEKmBhpcKZJc3ZFUF/BHFsqPiGeiVheirGAMfOxnR6sHOjR706wloBwqc3MOzYNGJ5TYN1UmStB6MYLJaVdsjWDR7dgUIoizAjmhWPHZuHrPUFx05rEqOZbUoaFUHgQRwL+iPJ2RXJmWXLwmpMEAzBi7n5sh63Xi6Yb1ZZXm1yYiHg9BIsLMUsrMScWoFDy5brLlviZ793lU2tJsfPznB2qcriqs9SW7rj141Y6yasdS3LXTjZESwtd/mv/3IYv/+tlQe9mR82unbZg1ImPxnHAdVa45WGysve/sYy+Gc+/RmuvuZqfuLf/uuf/9PP3vV//vYffvXCF461dx041ZevvqLLni2GONGABIQDFTJ/jbBoYQkknF6p8PABxZV7Vrhk+5BaBTwt8T2F72vqVUnNk/R7HvuPVrjzCZ9j50Z04oj9J0ZsnF3hHa9e5coLu1x3SZujSzFLfUEtGHL4tKXdqXPFBZK1YcK+o4pGTfP8Mbhoi2UYJgwTH60jphvw4okApRM8GaM9GIwkN1zSZ9CXXHlhQmeQcOx0g92bFPVayNrIsqHVZ7XX4RN3wVNHEp45MmTnlmWu2ttheibk7Td3+Y7XWfZsapBELY6cmuLQSY8TZw0nz0WcPJdw6Jzg+FrEqy5e5D99b5eNrRYnzs6wsFxjcc1nuSNY7Rja3Yh2L6Hds6z04GxfstRJuO6SZf7xOxdlIMWu06dO7m537I1B/YJqo9n6yh1f/hwf+72Pv9KQOe/tbySD/97HP4XRs8qLz/yH4yfP/rtHnz6sji+ELHQVJ3qWy3ec45d/5ByvuqDGwvI0y+06K+2A1Y7HSkez2oHVTsJqJ2alG7PUhhOrAl0dcsvlK3zn60J2b6iz1mtybqXK4orPUluw0nYSYbVr6AwMnZGlP4yZbUbs2GgAQeBZTp7zEDJg5wbF7i2WLRv6LKyOePpAg2svstSqqzx3cIZGPSQMPWanDYMhXLpjyMfvarF3e8xoZJmbkkTJgEYl4PmjQ6penasvjnnmcMjCss/W2YDdm2HHphClIk4uge9ZhLDs3Bgz3ZB0BwG9vken77lVbA2W24aVdsJSO+FsG5aHCTu29vjO25a45RJNxWtyZqnJ0mqFpTXNckew1jasZczdsyz34GxPcnYt4YaLF/jAjyxz4ZY6i6tTLK7WWFprgb8nqTU3/PxtN2382WdfXElues27XmnorLv9jQL4/pf2U61WqidPnNzx8GPPve/MmbM/d+LEKfqhYK1nWekJzvYkJzsJ1+5e4Jd+ZJmrLqixuNJiea3GarfCSsdjNQV5u2tY68asdmNWOpaFtuB0z4Lo8e7XtHn7DYYLNlcIwxqr7QprPZ92V7HaE3T7guHIEsaWJAElLYEH1cDSalo2zERob8ihMyHPHgwwcZ233hiivTUe3zfFrs3whUdiXnNFwLn2gIpWxEnEzDTEkYf2YpaXa7z6mg5feKjB7s3w2IERHjXecoMhFgOePZRw5GQFLX02Tmum64JqIPB9gRIQGwgjyzCEbt+y1jN0+4a1vmG5ZxkkCTu39Xn7TW3efWsIpsHy2hTnVqost1MyaMNaN6Hdi3Nwr/bhTFdxrpNw3UULfOBHFrl0R5XFlWlW2jVWOhVW2h6rHZiZ3cLM7IZ/P7vp0j/ZsmXr8dFoOLjoor2vNJTy298YgJ859RKbNsz5L7506Ptf2HfwNx742lNida0njXElpN2BoT2wrPUFCz3FqW7E9Ree44M/uMI1FwYsrbVYWquz1glY6/qsdjVrXUG7a2n3Eta6Me2eYbVnOdcVnGkbplt9vuW6LjdfErNzo6JZ9eh0KwSeBBRhLDFGYCz0h4AwTDeGHDhlMTbkjsfqjPpVLtzqc8uVfSKzxr1PtLj6Io8DZ3u0V5vcdGWfrzwesHHGsu+Y5Z+8q8O+owEbZyR3PqG45VLFSr/D4RMzXH1xyL3PDohHNW6+zGfP9iGDuMeXH1eQCA6d1DRrGi2gP3BBdWIsUQxIg/YN7Z6l3ojYvnnErZf2+ZZrY2brFRZWplheq7LaccdmtSNo96DdjWn3YidL+paVvuRsV7DUTbhx7zl+7gcXuWp3hcXVFqudGmvdCu2eR6en6Q8VUWwxVMzWnVfY7Tsu+NGduy/83ZXlxfCqKy55pSEF/A0BeL8fysFg8I777vnChVP15IMPP/K4t9YVDEPLcGQYjBL6A0N3aOgOYa0vONdXnGrH3HzpOX7hB5e49gKPte4Ui6sN2r0Ka12ftZ6m3VW0+9DtWTr9mE4voTcwtPuWxZ5gsQdRMuKqiwZsmkno9S1vu2nErk2GOJFoaQkjuOfpCsfPVdg8HfPcoQqYGpdsU1yz1xBU+jx+oM/iUp3Ld9VptlZ56BmP6y+qsNxfY3W1yaZNlkf2Kf7eG3o8uk+zbYPHUq/N6soM11za56HnEmaqLS6/sMe5dptHXmhR1XWu22u5eMcQZI+njwg2zEQsLEbc+7THMFJICYmx7Noc8i03hXR7ii3ThmsugjCsOcZtB6z1PDp9Rbsn6fSg00/o9BK6/YRO37DWt6wMJKc6gvYg5JaLF/nZH1jhuovcxbHWqdHuB3R6Hp2+pjdQ9IeSwQh6/YTldsirrr4u2jwf/Ntv/TvvOOhXqp8TQptXGluveCazP+iTJKPvPbD/qV8+eeLQzBm7QuAp6lWBEDa9Ai3WggXAABYhEqTUPHZgIz/5YY933brCd71hhd1bQ84uNwn8KtXApxZ41KuablXSGHhM1TX9obPBNo6MWx2GASuLFU6esISx4dTZmCCwgMBXFi0F/YFC4BH3Na/aJdizxbJja59R0uWLjypePDjNm68NuObSVT72RYsvauza2ueZhxRbW4q5Zp+KqhJGHue6UK9otm0UPPViyDUXV3nd1Ut89PYBvtfgTTdavKDPVx8J+cLDdV44UuWCLTV2bU6Ynw7ZPRdxxa4EpQxaWcBSCwLmWwFh5NHt+zx3wKM31PQHit5Q0htAb2jp9d1v7w4SegNLZ2BZG8BiX7GwaqlNtfmxty3yd28OuWp3nTNLTdq9Kp2eT3fg0Rs45h6MJP0RDIaWYWSxVvDII497F12w4Zdn5x5bufba6/5lv9//aK1We0Xx9YoCfDTsgxA/cOjFR35h37P3zJiojVQKzxNUDKkzolJgkwJbIoVFCouWCb6UPHtwjicP1Dhw+hzvurXHrZcNaTWarLRr1DsVmgOfXl/TTU/2YKjpjzTDkWUYGsLIEkWWOHH3MPaxBqQSeFpQ8QWthmC6AZvmDNs29pmbbvOlx+G+Jz2kmeLN13q86pIuD7wQEQ6b3PIqQXsw4NxynZsvNsy1+lR1wDBWLHYilBG86mJNrTHiif0VXnvNFDdd1eWJ/QrsFNde5vOPvnWFrzwVcuejdfYdr7BjXrFppsp0o8ZUA6oBeNqiJBgL+44IkkQQxYIwhlGE+42jhMHIMBwZ+kNDf2ToDaAzgsWe5FwXRmbIG69e4R23tvmeNxniuMnZ5TqdXpVu36c7cKzdGyr6A0l/CIPQHb9RaEiMqwvad+A0pxe+NLPaif7vt7zptbrX6/92vf7KgfwVA3g0Wkaq+B+dPnL/L5w+fM+Gmu7jtzRRbInilLmFQAiBECp9BCUNUrgsolYWrQxVT7DYr/LHd23jq092eM0Va7z/jWtcsbvHbKvG8lqN7iCgP/BSYCt3DwWjSBLFgjh2S71NryYlLVpDxYda1TDTiNi6oU9MjwOnIj5xb4XDJ+q0girXX6a5+coOj7zU5o6vNbnxogo7Nvf5+F0CJQKajYi13ghjQQmYb/bpdH1MXOUdrznHH3+hxp6FCm+/sU8YLXPvs7NESYUbLtvA26/vcNH2Nl99os8zJ2o8fcRn24xkpimoBQLfcxehFCCExVgwxh3DOLGEkWUUOSAOQxiE0B0KVkeClS4IPeTqvWu8/1vWePVlCXPNKqudOu1OxTk0KWv3hk6SZLKkP3LycRQmjEYJYWQJE0ucSFZOrvLxT965YbVrf+Hb3vZqe2Zh9Xc2b5z+fwfA7crPMYo2Qffj39cfhB/sLx2cq3lDmKoyCmEUSUahRQqJECJ/FEKipEbJBClFujwbPGUJtKWiBatDxUp7mk/eU+fh53rcctUa73/TGlfvaTObVInjgP6wQm/gMRhpwkgRxZI4kSRGYKxA4FaHwDfUKjGBH+J7I04tj7j9McnBkz5HTk6jTMCezT6X7lZce0kHFSzy7KEGW1s1Lr8ANs2vstJpcsVWSWwsX3o0YNSXtOoxb7lhyOfujTh+tsHeCz3OrA15/rDH9o3TXLV7kQee6fLQ84JR6HPJ7hku2R5wybYuh86scPAUPPpijQOH69S0INCSemCpeCClC6qsdRdrnEAYQ5gIeiNBZyjoRBCaGGOHXHdRh/d/S4fXXJGweSZgMJxiuV2h2wvoDX36qRzpDRWDoUswDUbpqhAmDuBRwii0jCJDFMEotoxCwamlNX7943dvuPf5Mx9s1nX873/1Tz62/8gKn/ivP/y3F+D/6gMfgen/RPfYD39PU+3/1bhzqhXIJq1mHa0FA+3hhRqtFEpZlJIoBUoKlBLp+xm4Ezwt8D2D71kCz1LzE1oVQXfksdqZ5lP3Nbnr6SEbp/u877Y2l2wfMhz0uHy3ZfsmxSjySBJFYiQ2A7c0eDrh2ILlyFnB2sDw2QdqnFqaxoYe0xXFllnNzk2aC7bC5Xs6GLnEhz5XZ2Vlihsv0Vy+p81XnxaI2GPDtKRei+lHPtJKsBKlfdpDwcKK4DJb47Zruzz4RJUtcz43Xj7DP/zWJX73C10e3V+nN/RYXmuwe0uVvZv73HBxl29/bZfTKyt89oGA5X7AsTMep075eEogpUTgShYSA5GxJLFhejbiysv6jEYRl2wf8Z7bRmyYUsw0AqKowpnFCr2Bz2Dk0R9qBiOVa+3BSDAYCYYj3EowShil0mQYOXA7kDtZNAgFnUhz9mSHpw/dP3fFhfO/etN1O6JP/FfvD88e/m9suuBf/O0D+A//xw8xvXGbeP+/+an3bp3a9+Hveu3+2pUXeERxQGIUQlhUKjmU0iilHKClRUnpykaVQKePnhZ4nsHXCb42VDxLNbLUQstUJWG6KuiHkm5Y58jJOh/4wxkwMSKOufbKPrs3hcQxGGuw1iVxpBBIJdCez/7jPvsOVqhXNA1fMlcTzM9KNsxotswrdm5O2LtzjUQs82ufbnLseIsbL/a4ZFfCIO7ytWcDWlWP2SlLqxFSqzopZIykPVSs9CzL7YR2r8qrL1/jsX19XjyuaDUr3HBZix98xzK//hl44mCd3sCy1tUsrDTZNFdjw/SQnbND/vV7+zRrbZ45AvtPSDzPHUMhXCCOdWwex7BrU8ItV8QkkTvm1tYYhh5nlxyoByPNMFS5fBuEwpUZjwTDEEahY+0M2Bm4w9CmIIdhJJwEigSroaQXG+JhSNR/vvVt1698+NcWt8dqbu8n48UPWD3/4397AP5DP/NRNm2eV/ueP/juAwdPfuzjT5ysPLOvxQf+cYe923ogLFK6u5ImZWiNlhYlldPa2uIp6VhbC4aewvckI08ShAmjyFKNDKPIEIaWZoxjlhjCWDCMJKMkIEoqvHiwztMvQmItDtpOG3sSfOVqPhoBXL4ZmlWYqkumG4rZlmbDDOzYNGLz/BqRXeHXPj3FocNTXHOB4oJtkj3bVrn7+ZiF5Smu3S2Zbhoq/oBABlgliBOJsJY4CVntVVhY9rjmkiqvurjLA09U2DgtqFUaXHOx4cfevcyvfsbw/KkGaz3DWlexuKqZa9WZblaZbk7RrEXM1yN2XhMSeDGejlEqQQoXTFjcRRVFinOLmihWRLEijBSjKH0MZSoNJcNQMgqFA2woHDOH2XE1JbbO3odhBu5I0IsEq6GgHRqSwYBX7V7jF//xEm+56lQtGY4+ZhZiI/w9nw7P/ZfE3/CvvvkB/pP/9x8z06iqw6cX3/PS0aWPPvLCmQq1Kb74sIenJT/7Q20u3dpFS4OUBi0TtPLRqcbWWuNphRcqPGXxIomvBX4kGHmCka8II8koNESRJYxdwJMFq1FsiRKIE0uSuGg/MQJjyMHtglfQEjwPAi2oBIJaIKnXFFM1yfSUYMNMzM5NfRr1NT79YMi9z86wttTkyh2KnZs9Lto+JBFrfOnRGnVPMz+taNSGPHsI13G/3dIfKa66KOLKPZazZxIWV30Gwxpvvb7L/c8MOHBKUa9KAr/JFRcYfvb7lrnn+QGfu2eO5Y5l54aE1bam1VRM1T0aNY961VIJDIFvCHSCVk5qybS10lpcwsoIYiOJE0EcC6JYEsaCKJKMIue8hJFwAWMIoyghjAxhiTicxs6CVwfsYQyDSNCJJO0IeqMEoj7X7FrhZ35ombfekDAYNojiwxVVqfx+1J/+B6HZ+adnD34k2XThP/zmBvi2KSMHw9XvOnfq9P88eOh0pdlsMEwskfL4i4c0Yah4z20d3vOGDjPNmK6uonWC1j6eNuld4Xsa30vZxnOME/qCMBLu5ESKKIYwks5BiAvbL04MSeLchcSmTknqlgghkNLpfJ2uDoEvqQSSelXQrFlaDcPGmRHz011iu8Yn75f87hdm2VCpcOUOwY7NHru2GHZuXuXTX7OsrFS4ZJNiugmNWsTCUcm51QB/N4wiwfyUpNWCA0csqx3D2aUKF+2q8IZru9x+X4XZBgS+j5Itrtgj+KG3n8OT5/iLB6Z54VSFjZ2IDa2YqbqiUVXUqpJqoAl8CDzQ2jqQC5CiBHLchZ0YSBJBnJACHaLEEsYQRYkjhSi1T2NDGBvCiNyRGUWuInIUCYaRoBcLOrGgG1qGw4ipoMN3vmWJ997W403XQLvXZDQKCGOPcPVsJZbzHx6JWW2p/xGOZ745Af6JT36WJDHf99Cjz/2XhZPHm7taim6Y0IkkHenRlw2+9Kjma89VOLO6zD/59h4zzYhhUKPTi/G0j6c9PM8jDA2+pwg85cAduVS6YxzhmChlpTiGKIEkcU6CMS7gMsZmPZwpuB3AXQAr8LQDSCWAWsXQqMa0GjHzrQFz02s8+GLI799RZf+RFrumPPZsgm2bfLZthL07OvTjDo/sa1JVHvPTilYDWo0R01Mxvq8Rwl1cg5HPSidirW9p92LOrfrs2NTgpkvOccejffafalILIjzlI8QUe7Yq/v6blrhu7zl+/44GjzzXYrmn2dCMadViahVJtaIIPEHgSTzPxSpKkdqHWbrMedXGkAM9Tky6uqXWYmyIE0MYuxKAKLb5ijiKIYxgFAuGsZMk3VjQiWEwSDDxgNlqlx/9jmX+1Xf3qQY+a50aw1HAKAwYhh79oc9qZ6Ep/MavteYv9x958PO/e+Otf+ebD+Cra22klD/wiU9+5hfOnD49W684D8slaAy+FHhC0ZU12iPNf/kTn32HVnnHa3vcdnWHjXNDut0qg1HAKPQZeZog0oS+s/cygEeRJIzdshvFqaedkFp/pMwtMZYC3C5JmTI3aOUSJr5nqfiGaiWmUYmZbo7YPNdhod3nNz7r8aXHZlhZrXPhvGDHBsHWDT7bNgh2bxmi/TX++F7N4RN1Lt4omW5IpuoJUo44tWgJtEQKl7wKI83ODR0eJaHTV6x2LAsrVS7eVuHbb2vzp1/1OboQ4OkIITyMrRPFkmt3r7Lzuzt86Yk+H//SDI8frbN1WjBXT6hXEiq+IPAEvudiFa1wgbMUeU2GTbPCxuKclsQBPgN5nDhJ53z0FOBpHBPGDtyDBHqRpBvDIDTE/ZBtcx1ed+0q73xNn7deZ9CizspqhVEYMAo9hmEazA5dQNtZOTPr1XZ98JbXvEMN+p3frtaa3zwAHw46eJ73D+++5/5feHHfvg1aQeCLXB6IdOnUEjwp6MiAzkjzx3cH3PNMl2v2dvjuN7kquNlWwGAY0B/5RJHnlrlI54FSHDsvO0oybSlJEkFiRKG1jSBXJaXPd1akxVMG3zMEfkI1iGlUR8y1egyiAV991vKJu6d45LkW077HFVstm2ckG2d9tsxLtm0MuWDrKs8cHfDZ++eZUpr5KUGzLmjWItr9hC98rULDtwjhgDUYad5xy4jPP+xqYto9w7lVzbYNDd51a49HXuyy74BPPYhRUjiQmxrD0Gn9v/+GNhdvPscf39PhoRdaHF+tsqkpmKpYar6hog2+B1oJlHQXsmNyyMqPTHoujClWuDgFuiMIiBJBlKTAThxr92NBL8HFPGFIvdrnO9+8wne9qcO1FydsnPHo9xusdQPC0E/B7TGKNMOhLvIPkeDgS/s36GDjL1x1zc1meaXzkdmZv36Q/7UCfGl5jeeOrnBkIfrek4e/9kuPPnzfbLfTRimBryDxHIsK4fShkhYtBL4U9KSi69U52Qk4/UiNh5/t8adXdXnPGwa85ZYhsy2fcBQwij3CyCOKvNwRiBNFHEtiI0mSAuCujQ2sKWrKhLB5RtS5MwbfSwj8iGoQ0qgOSBjwlSckf3hXi+eOTCGigF3Tls0ty1xLMT/js2lOsmU+YsemDicWu/zm5+rEoyrbtglaDU2zDs1ahPBCOoM6rYZFCIG1EMWSmUARm5hu5NPtJ6x2FKcWq1x2QYMf/rY1PvhHAccW62gVpReGJo4rDEPJptmAay/scOUFPZ4/dopP3F3ljsdbnG5XqQeKhg91z+Jri6dI3ahUkpXOlwGscRddYgSJhTgRzj9PBGHikkSDxLH2ILHEUYyJQmYrfd76xjXe98Yur7kiZqqqCaM6K2sVRqFPGGnCyGMUakaRZhQ6G9Jljl2V5nJ7jbvv/uoGIXu/9OpX3xBb+/zvhcNtBNXW30yAd7oDrtg1884vfOXRX7/9i19uNvQAIRRSJCgNngHrCbA2zRgKlLBoCb6CihL0lE8/1pwLK/zFw3Xufa7PDXf2+Kff0eXSHR02tBTNmiaMfMLYI451DnIHbkliJMZKV6BlRZ5+d8xtcr9d65jAj/FUSGcQsdiJ+JVPVzhybpon9rWwxme2KtgwZ5mbEsw2FbMtj42zkk2zMVvn+8y2VvnSk4bHX2hx5TbBdEPSqEmaNUO9GiK8EUGg0cp9vrWQJJLBSDMYRsRG0B0Yuj3LSsfj7HKTm/f2uOmyNf74zgrVFYWWkQOk1cSJTxi5Hs+5VoXr9vS47sIej77uNMcWJb9/R4tzazVOLgf4SlL3BH4mw6QjlpzIM6mCY/LYCmIDkRGMEhjGEBoLSQxxhFQjtkwPuHKnOx/XX2poVhVxXKfd9R2wY48o0inAdW5FurskjNxKa2xa1560WT7x1dnTR/xfn9t802oc9z/714nJvzaAP//Cfnbt2KQ++Ksfv/C5F/Y3u2treM0ApQ0It1R6GjIBXPje6cGPLRUlqGm3DPa9gEHssRzWuOPxKR58YUA9GPEP3tZm+2zMzi0Dbr68ixauRUwIJ1dcVtLVSrtirRTcWIS0KOE8c0sMMub5I5LHXtTc/kiD5483COMaDa2Yr1pm6pbpmnU+eFMzM6WZbQk2zcRsmR+weX6Ve58b8aHbN7C5pZlvQrOuaNYFjVpMNRjx4EuKYajx6g5U1grCWFLRiqsvHvDwsy1X+DRIWOt4LK0FLCxN88NvX+Dk0jIPPzWPJwERYYA4zphR0htophsVWs06N13c53VX9vnu1y/y4gnD5x+p8MiLVV46XCcWmtFI0Y8UKi99KAeeaU7AGmJjscbgiYQpP6RCxE3X9Ni9eci2uYj3v2VE1VfUK45k2l3fraixA3Qca8JYEUUqfZSEcQruWKalEU4y+tqiKx6d9oj9z93f3LRy9sJLr32/OnPyYLJ524V/cwC+74UX2LZl3n/44Ue/v1VL/osZrdBqeC6Kh1Lnp0h9Z8femUxRicWTAi+x+IklUIJaIhhpGCQ6vVfodhN+6Y+nsXHExvkhl+0YMjsV8543DNixISSKRKq3JZSYm1R/SmkQUvCpe6o8c6iO0Jpjp2ucWqhRqSqmAkGrbmlWDM0KNKqCqZqi2VBMNzSzLZhrxWycHbJ1Q4fErvGp+5sMenUu2mZp1hSNmqRRNTQqMZ4X8qWHK4z6Em+DOxaZRKlXFW+9YcB9Txp6I0lvkNDpa9a6mrPLNS7d3eA9r+nwxPM1jq00UNIAUaqXPaLELffDUNIbato9n0a1Rr064tJtQ27cO+TEuTZHz6yhvYSnD2v+9O4aQrnCNSbnD1oDGLCWKEzYuTHmfW8YMNdM2LvTsnEWkthjFDaIY4/VTrp6Jooo1mmAr4uYKH8UObCjSBIlwsmgBIwVxLGlZ30OH+thPPlf7HOP96c37P7dl156Mbz44v/nTRN/LQA/e/Yk7fbSxcePnfiNZ596XLbqRYmrTaP1LMjJjm0BbtAJxMq6x0Q4kCeW2AgaiSVMBCMjGCUeI+MRG1jsNbn7GYMl4c8fcSMbsCa9Z1m81CLLKxIlUiniSCONxtOSRgC75y11z1ALDLUAaoGgXpU0qk4OTTUk002YnYqZnx6xZb5Lwiq/8mcVHnh2A3tmYbqWsndN0qjG1Koh9dqAarVGoCRKphocJweiyGM4EAxGCd2Rojc0rmupq1it+5xcmOLVl434sfcu8Mt/qjm+FiCEwdoIk1ii2COMJMORR2+gaAw09YpPrVqhFtSoBBGNasi1F4X4XsT1F8W8/419tIrTJJBBCDsuylNJZ4xECEngKcBnONIsr2qSJJOCbrWMk+wuiWNJlCjiWDiQJ5llK9PnInW4RK7zjXGZVkJnBpx5+HF5yeXqN+ZX+vdH4ei5vw5s/j8G+Nfu/zRTU7J69MiBd584ekjMtDzC2F2ZxhiStHzTGJvWcRf2nIpBKdKo3QE8q4KLkzSqN6mfbQSxsUQGYiOIjCSyksRoIhO4zyl53FDKUgrQQjjXRkGlaqloS0UlBB4EGiq+pRoIqr6kVpXUKtoBvC5oNQwzzZjZ1ogNMz22bFjmQ7cbPn7HRra3FHMNQ7OuaNQU9RrUqgmNasSZZcOhMwEV313M2QWfGMEw1OzeZNg0N6Qz9BkMbcrikrWuplGt0Ki1eP8bz3H4zFk+/NmtaKmxGBKTuGMRa0ahYhCmDQgVSW2oqQYe1SCh3XUxhu8leDrB8xK0dI0SUrp0vkjvrnRFkE0oMEbQNmmVpXFxTZJIjFGpBevAmxhXfpDdk7hg6XjseWbfity+dU5Xqv8TGAzhwa89KXbs6rx7x/Zdhz72B386+L73v+eVBfjlF7T91fbiTySjcz/hyaFs1BTD0GW94kSkS6q757o7sSSZ/k4EsXKNvXGSZtlM+jq1r/L3sjR7WinnvFyRB0plzQ2kmTybWpIGndaQewo8JfC0db6xFlQCScWXVANFtaJoVCWNmmWqntBqxMw0R8xN99mxcZlHXhrxx/dsYboSsLFhaNaEA3dVUq8Y6pWYRm3EI/vh6RdrXDhv83r2LG0+GCmu32u5aMeAR59r0R9ZBsOE3kCnIPeoVapUKy2+87UrPP3SOR7etwmswpjEEUFsiSOb15MMRpra0FKtKCq+IfA9Aj8h0AatEzxt0mI247ZgkY50EC7oz2ihCM5FenwdyI0RqUPlgJ09jzNbNsnAXmLqpAD2eoCnyaa0pGIYWrq9nhwmp//DqV7dV5XGzwPhKwZwa/oyjvo/s3Tod/5lv3PK9/0qfuKkgRRuSUqMJTYFqPO7cR50klh0mjrOgO2ubJtf3YnNMm8Wk2bismSFtZZS5n1sxc1S1fmKIdOMpcJVI2rXMBB4ksBXVAJFNRDUqoJG1dKsJUzVY1qNEbNTA7bMr/Lw/gE/89GNHD/Z4oI5Q6sGzaqiXlXUK1CvJFQrEb43pD10xWKeskhZfLOM9aLYp1mN6MfGtX+NLP1hQrcvaVcVtW5AJWiwa1PEz35/m//4McnX9m3EojDWkCSGOInTVLpiGCoGgaQ6UlR8SeBbAl8RaIPnOb9fK+sArlKySWVK0R6YnVyX2s8uyIzVs7r57HmSAdbI/NyVZUiS6u3YOIDnwE5KRJa4OqIoMsQJHDxyyt8mGv/23/+L7/f+1fcO//3sTOWvnM7/KwP8peMdDpyIfn719Of/eX/laCU2AQJXA2GUyBMqsRGoROSgTqQlUbZg9sTmDG0S916WRja5RwvWWJKUre3EnQmAi5Lel9JJFFdT7hybvNxWSwLfDQCqBG4kQzWw1CuGRi2hWYuYaoTMNAdsmV/j4Rf7/MffnWP/8Rl2zjiHpVGV1GvSsXfVUqsk1CoRURLyB3c2XAuetChR2ITGZkzn8fffvMqXHw/phgH9FOC9gaLbU7QDTcUPCLwme7fH/Nw/Wuanf1fw0HMbMVaSGJdWj2IHkFFoGFVcuWsQCCqeIPBdZtPXNs/YamWQyq2gUtg0JrKU8kD5AS2Ot8jlVQZwUypcyxJriQGTiFRarmfrHNip9EzSIrgozaICVAPFwQOHK3c/cPu/eP973iqsXfpJIf5q023/ygA/eewgxtqb/uIvnqleuElS8RWJEXmGEIQ7cAkkEmQiUEaQKJuD2RjGXytbyA9TtF85oAtXR5GBOm1CthPfKwO4FCCkmx8iS+ytdVZ3IvE86eo3fEElcDNPakFCverA3ayHtJoD5lttHnmxz898ZIbnj82xbVowWy9Jk4qmXnH1K9VKTDUI8bwRp5an8ZRASZPackWQmSSSOFZsnrbEcUQnqjBI28AGw4TuUFLtKyq+h+9V8PQUl2yL+bl/uMhP/Q48/MKGVB44cERxkjK5YRQYKqFk6Ktcgnmes2ldm590uQAJUtqUCGxemDWBcQdu0qRQWrCVJdAKInJMndgU8CVQmxKwjSUtD8jIzOZlAta6la5WkUw1DKL3dPXsqUtvkv8Pdpz4KwH88Ue+zNbNpvbRj3/ZJ7KstGtMN0mdAotWwmlfI4gFKANGFVVsxgiMtCSlH2t0ytJjMsSmBVIlOZIxyst8t8KtcVWCUooc3Eq6WduFPIGKB4FvqFYs1cDp51o1olkLadUHzE23efzAkJ/+7WmePTbPlpZivm6YqgoaFUmtoqhVBdWKuzhcqj/k4X2C3tCnokjT5U6DZ00IiRFEsaZeUdx8eZdHnm/Sj5xMcWMyFN1AEfgK3/NT/dzi0u2GX/zBc/z4b8FD+za4YNuYtFm66MEc+ZLAN46909oUL7243Z1UphQyTqZZ3vODPDvuIs9+Ov/cAb282paLuXKyMuXV2YE5A7izDN25lRKqWjJV9zl1SvCZz3zF33PZ62qf/vMv9N/9d9/+vx/gp04dZ3ZuW+vRB//8N6cb0WttJPE9N+Ihqz+WwmKkQBq3DBbLmAN6eWkzKq1RmWTtEqBNDmybMzep9s5Phkg9dpmCOy0yUjnAQaUVg54G3wPfM1T8tMAqSKim8qJRHTHVGDDd6PDUwRE//dvTPH10A5tamvmaYaoK9YqgXlXUqm57FMfeCZUgplEbcu/TPmvtCtPTRZo8A0wWrEWJYsOs4o2v6nHvY8Z10YSmBHJJxZNUPI2nfbSuIqXh0u2WX/jBc/z4b1ke2r+ByGiirAIwsTmTB5HMqwt9LdE6LcKSAqWzY0P+/bKLMJMqIqtKo0gITd5N6TEDuTHllXecrbN+0fEV2o7LTQGDkeHkQshKr/va5uyJ33n/97znR44dO762c+eO/70AX1k+S6e9/OMnTx7/rtFgmam6l7ebuaZXm+o1i5Fu6VL5j01Prpk8GCJ3RLICoALcL8Pc6dHIMnK59pZZBV2hu7NsqVYue+Zpi+e5xuKKb6j4CdVKTK0SUa+MaNSGzEy1eeKlET/xW3M8dXgjG1oeG2oJUzWbgjtl74qkGjj2rwQxtSAkNiO6YYBQEi9j8FyDi5TpUo848qj7Q1cuEFaYzkA+TOj7jsEDX+JpjaezDWgtV+yyfPBHFvg3/9Pw0IsbiYxmlAjCxKQsLqhEhsCz+J7A1yZdvVzLn0pXtKznNZN05XwFiOLCLMc6E+DOSahETGXwOjmTAj1/noJ/4vwKMlwkCCFodxeZmjr2XY898dShKIx+6n8rg68sn2R6ZsvOO7/wsSv7nTPUKhKljEuDi4KlSEGe/9h8CROlKzd7nQaRE2yQBTWT9SSF1W0L1i4Hldlym3boqDSYci1vDti+tnn1YMVLUt0cUa2MmG72map3eXhfzE9+aI4nD29kfkozX02YqlgaKbirFWcnZuCuBgkVP6ZZD9l31HLPE3V8KfGU66wp73WTLeVRooiN5rZrIy68oMeh41Xma7iJXqGbZ9IfpiysFVp7aY+qk4KX74Rf/KElfuq3DPc/P88wqjJKJGFsqcVOsgQeDuQ6W71M3tsqVZKvcEqKEsDF+Pmc0CsFyEvEMwbWAsDWjq/M42xv87xcth5bQCRZYZgFITly7DT33f/olf/0R39g55GjJ4/t3rXtrx/gS4tn8f2pXQdffPS/mWjlnRXdRfiarCFj7BhYgcUWQDU296+tFePsXWYCIwqAM+GSrHNLUuaeBLewSJXZgg4MWqWsrS2+NnieIfAMgR9T8WMqQUitMmJmqs9qt899z8Ev/uEmnjk4x1wK7lbV0qgK6hWRe+XOeTGOvX0H8GowIkwShoMKFeUuMilKSz9ZtlCkgaZ2Wl6PGIWWQSRKADf4foLvaTxPpk3YXg5wBFy1W/CLP7LKL/1RzEMvznK63WRYl7QSSyO2VNKJA4FnU+8/c1JsMbEglSoZwPPvm37pMs7t2HkuJo6VwW7Kz40tEZfN9XtZltj0os/lJ2XL0tLpdZk+s/zOe+9/KLnlhlf9i9OnTh/dsnXLXy/A+52jRMPKjauL+97dXd1Po+YBsftiOahLgUjun9pcd2aRdyFH7Nh7k1KkDPDsEJdVYXYS3LiHjL1tKk+yLn3H3Dptf/Pz8lgH7sBPwT3TY3F1wC/8QY3Pfm2epd4081OS+UoK7orT3bU0sKwGklpgUwZ32rsShEDIXU/5rEY+swFj9diI8pLudHgYaZqB5g3X9Hl4f0g3CphKG3uHocEfuVp1XzuAa2VR0kNIl6DBwiXbJb/8Tzt8/uEBP/+RjZxcmmbQ0rR8QSM21GIIIjd62VduoJGXBZpS5EFw9lgO1MsXphB5r0jB4hn5ZOdyHdjL7M6EabBe6kDRmFJgQPL40wfYsGHDu4NK/Q96vcHRv1YGj6MeStcuWj599z8To0eYayWFF5oycpb5Kr5UAWh3hWbRt8iZvczw+Y/MMmn5Lyw7JpnuJmeWLN2cuQAqA7iyaOmArVXW25ngewm+F1PxIwI/olEdoHWfe59O+J0vNLn9gQ2EpsmGpmCu4mSJswAzn1yld5Eyd5m9I7Qe8eALLfqhZnMt+z6TDJ7FIq4oqeIpbrp0QGwcwAeRSEcxOG97ODIuONTpbJjM3kuZziKYawm+6/U9GsFpPvKFAfe9MMvZqEq/ImnGlrq2DuQ6jUOUTeMSm4I8O4aiqB2XIClYfHJHwTLIs6B/jJwM+Uru6k4Yc2DGpE2J0LLn5VU+jBSf/eoL7Lrwkn/2vm+79cm1Tv9Aq/mNR8J9Q4B/5ZETqOHHSezsFj/Z97pW9QRathiFbvqqSdO2mfRwNpLIWaoM9vx1xtiIMUaj9APdMRPnTVFmTQuFNMmycq5iUEnyyVcZc3vK1WIEXoTvR1S8kFptiO/3+cM7NB/4vQ0cWpzBCypsaghmgoRmYKkHUE877KuBy3ZW0oSQq19J0pXAyZOlTkIv9PGVwpc2DzCz759d7M4PdgmfMPaoekM2tQas9RsMIpGOW3Oxguclqc2nUrtT5f51Ebi6ysd3vqbH9Zct8ou/P+TjX5pnJa7TDzzqnqSpXQ1OoF39fdYMobOkT7ryyVyqFBnO8RhrXJSPAz1rcJ4AbGYcMCFL7STgx0swkrROZRhrTi10+NRdz73u9Fp/y7HTnQPW7keIrz+L/BsCXMmYu/Z/1y4/+dqHNsuHaTVjrBihpSFM66+dt13UYBfgLrF1meVLgWNWQ1Ikb0plrue55QdcZmW3JYCnc1XkGHMnKchjfO0kSeCPCLwBRxdiPvz5Op+5f5bDC9M0ax4zFZgOEhqBTVPvGbhlCm6ZJ4UqqfYOfHfhNOsjPv2g5sCxKhUlXMYwc1AoUJ6PcbBOh0ex5pKd8K3Xd/mdL87Sq2makRuoE4Rp3KAMWst0shclkHslSnWrwo45yU/+vT5X7j7Jb90+w+GzU6zEVfqepq4EtRTovrTuwkldpnz1KxXFCZFuCiNFySMfP0HluH9Mokwy+svYi0XcJXJvPW+KNq6zqBtLerHkmecf41/8/Z0f+mfvv/lto7D9DaXK1wV4uz+iWfU5e+qebVHna3v8cAUpG1T8MLUG0/LJrBAnHYHmTqAcA/o4qEV6RWeSpjjxBSOUKduO6cAM2CKdMjs+NMim7WhZgVHsOnd0TBCM8PWIbhLyG5/0+cjnN3FquYVRVWamFDO+Zco31FLmruXpe5nWqaTSJPXOc3D7Lns5ikIOnAzohQHTQeriZEmnjAGzC9mWalIiTbOu2b0tRAVDumGDgS+oRm4GiZ/KKy+VKDpzPYR6meBVMT/V54ff2efdt53lI5/v8OFPzbI0qDPQFSpaUdOCqrIEsXVsLp1U0bIob8iym5NMDueRKyXMT+rzXJqMsboosfU4i8fpCp91Fw0TaMeCWEpePNbmo595ac9qt7Xtba+9+ai1Q4So/NUAfuLUAr7fml9eqn5y4dD93luvt3T7CZ4XAhYpNEoZB/BE5rq8XIWWs3YmX1JWpwTuAthiQnNnSYfSwU0r31SWYhbjE7GUShzAdYJWCb4XUfFDfC+kPQx58BnJH97R5FP3zzJMGvi+z6wvaPmGum+pBZaaX4C7EkiCQBKk0sQlhlJnIgW477nM55EzlvserxFGHkHdrgsws1uRD3ArXxgpPE/zxuu7/PFXeuw/WWdQcfNeRp7Fj8GLDF5o3LxGKVIZIYvhPhnAM4/dSGqBZmNrwL/5zj6X7hjx8TsaPLZvisVBnaHy8TxNRQuqEgKZ2qiZvSqLppTynUmgZ/+x48DOzmc5nsq09qQkSbJVnqx1zh2f0EBoBH0Dg9hibUw8khw7eI936fff+ElYe1XYby/+lRn8sgs2yH3799341BN3Ts3WQ5AWpRI8GwPuCnfToiRGpU2+mVQxYj17T5Ri5gfCTC56JYALd3RkBvQ8pWzyck+nuy1aJQ7gKsnliNYR7V7EA88JPvrFJnc8McVKu4GsVmhUFS3P0vQNNc9S8y1Vn5S1HXNXA1dnU/EFFZ+0Qs+k4DYEntPfSo946SScaldcYiXVt+OJk5zA05PpQB4bSRhqNjYFF20f8OzxmH7kpcN1wA9x4FNJKlGyRA1M1mlkF09mQ0aJqw9/3xsHvOWGVb76ZJePfanJY/uaLHdrtKVPz9f4yjV/BxLXwyndLnVZLY8UTrqIUu4hw3aZzcdiqEkmn5CkGaOXAZ7JkshCaGBkBaGxWBODjQGDTUbcfc/dUzdc59+4deveL/J1hgd9XYB31k4Em2fj//mWq/fXN7YSolAiZYLWIIQhkYZEqbwg3pqMxeX5wW1KkiRj8PxInH83FSFs/lgu0HeyxKSa26BkgpIJfuZmyIjFbsy9j2u+8ECDz943xblOHVGp4DU8mhqmPNfJU/VIZQdUfZHeZVpymupuXxBk7J0BXMf4fkzFD7E24q4nAo6dqTI3I/CkSXWsKBp9cxSkgXZecqoYjDx2bhS88Zo+n/laSC/yGESCimfxY8fio8iWVimV+9UIOSZT3F3m58VlTTXVYMT7Xj/gW65f5s/v7/L5B2rc+0yDc+0aA+Ez8DXaU2ghXAuhlHhpU7gSFoUoScNySv/8t0mA5xKlJE+S9P3Euq7+yBbNz7F1TTNk4DYxeILPPzbLwYWl+q/s4H+G5sylwOB/GeDLbUOUDL6nt3p3a3bqJFpbIMnrkKUwKJuQGJUWw6e7DRsx1vQ7eS9OQm76nR/YY5agLQHcpHagQaQA1zrB1xGVSsRwlLD/FBw9rfjEnVN88bEm51br4FXQTY+akjQ8S0Mbqp6l6kHFc+CueG4moSszlaW7SP/cpiA3Och9z7WnHTptePZIAJ6XLvO2lKIfsyDGbLAkbwpw45yv2D3ism09XjxVY1AR1GJBEFlGitTaMyl7Z25KZkEWWiX32dO4yBiVTh9wM0qq1RHf99YR77h5jS8/3uNPvlLj6OkKL56qEa4FxIFmqDVSSZfOB3T6mDG5TDul8iz2XwrgaRCZYiDBAbwAeVqIRdp6WAY3CZgEjMVaxbGjyzzyzNPMz359q/BlAb661hZhFP7Yb37ipdaeecONFyVcd0mEVhAogYkkYahIjE5HNKQgTwGed4Qw/hqygETkj+dnbZsHlO551oGSXlwyIQjcJNU4STi7DHferTl0sso9j1Q5tVrl0Ok6BAGqpqloRV1b6to4F8FLB+d7blybA3F2l+ldpQAn1dwpuL2EwHPs7S6skCOLsO9oDU+O24O5RKGoB89dg8xJMTKd7eJx2c4BF23o89zhmH7s0Yhc87Ufu5mAqgRwKQVCyjEmh1LgZkoyKJF5D2WUeIw8n2Y15O+/ecRrruxwarXDXY/6HD4R8OUnapxerpAMPIzURL5CSOlWCpF+HmnGEzH2+9YBnEK25I9ketzmjotres7M86S4m8TN4YsMQidIbbjhkg43XJhw9fb75t785v/zn/3Q4OgHdXXXeVXuywL845/8PGGU8Pu39wgHm9m1oc0Vu0e87rohl+6O2DpjuXDXiMBGJJGbQ2KSybENMg0cxbjuzoB+XgbPGKGQI0JkLVZOX3tBQpRYDp8QPHtYcecjNZ474vPCkSqddA4eno9qeq5DX0FNG6olHzjQWZ1GVjbr6sKDVJb4vsL3ZXoB2EJ7e0k6dN/p/IofYU3IwopkZAO0lvjSoks22wSBl4Kr8X7HMPYQaOZnQqQa0os8+lo4pyMqCsa0MmMZSJllvgCyYUeIXDImWVlAOjfGS1Q+fqI/8tk0HbJjY8S1F4wYhAP+wZE2zx31ufPhCs8eqXD4eIUoVhAorFQYIUs/Lt1ZekyrFAVwJad83Cgfe0wKcJtS83iYoEnYszti60zMJbtDbrtuxBW7YrbPKfrDSv3ssUe+C6E/+L/E4INzn+bFIz31k7/+kugNEvoDn6cPNXj2YMCXH6kx5Rl2bIu44pKQN18/4g1Xh2Cd11ytZxpbgnGNp057Z7o7y7+tw3XB1tLNAxfCIqQhCi39oQP+0ZOSP7ojoB8pnnqhwsETAUs9n1Hig/ZBeaimwpeCqoKaslQUbpyZSguPlGNt3xMu6VEGtyfxU1kS+BD4pK6JS5l72uB7cZoRjahWQs6tJtz5UIN2N2B6SqSjoG1e9CXO93Oz85lrcclopJibVbzl5iFffmzA8XadgSedTNFudowXZZ516rHLxNmFlGedyPwzjNWlz3BA9xNFohWxp4gSTRR5zkr1Iup+xGuuiLnp0hHvet2Ql05Int7nMQgVH7+zxpGzHghJf6BJQpWPSLC6LMrLBDbxoycALmKLMBaLkx/VukvICQxvuHXEm68fcvneiJ3bYqY8mGtaMG78W5KMWOo9IR48eKv6pQ9/Of7XP/iWvxzA4wT2bK/9xj//jkNXPfrciP6wAr6TIos9j0VjObJieOg5wyfvjJmfibHGcs3FIe9709B1b8Qw30q4+ooR9UrK2rZ8fU/eRD6cp90XPP2Mx3LHVe09ss/jc/dXGEaKYaQ4c9bHCE1kPYzwQGtEoNFS4itBRVrn8SoIlCVQ1tWA69Tz1QVz+1lfZg5ulfZoipy9fc/g+1mBVpKzt+9HKBVy95OKz3ytgfK1s9vG9PfLM3jmhTsd7sYuDIce77hlwGcf7PDxu6boxRXqqQ73Mh0eZUkZm3cLCZFdSVkZmixp/RLATdoBrx2Te1oRa42OEwd0laCUG6Q/XYm5ZW/MzXsjrBjxntf3GUZunNtf3B/w6D6faiBY6iiefs6n05epShJ8/dDTldbWK5arXxUy14pd40tied+bhlx9UYQ1MD9tmJm2aCeInKU6ysZaGMJkhf/wkeFVr7259Rta2fNu/rMO4PsO9wnr1eZnb//43s9/NVbtAWnaMBOVTisZaxlZy0LHsLDmhsa8dNzyubsTV5dgLFPTCTdeGdKoulrgr5uiTJc4KQVrPcVjz/p02gqpJSMjGVntmEloN2tCaoTUSCnxpKCinJcbSIMvwVcpmFUxo8+BXBQND9o1AmSNx2VwO4ZPy2q9jMGT0j0m0BHWhpxa8glHFYIpiZ+mvVValTeWxSz5xTbPE5Aza2IUYeQx3VBsnwvxxZBBHDCIBVXthmBmNSRZQkvJcnmrzD/LfYZMkz+myJ4aU+qMl2lFY5LmDVS68UBMFCeoKEk3JEiQKmbbnElXDMOlO4aEdoDUhnZb8NizmrW+RGWupRBf51y7ctp6xXDTVRFTLYtN3LGoKpHOiZIY42EiwShLIKZ5FIFbuZpVw/e+5aTadcHpvVdf+w+a//z7VztCTH99gAfiNMO2/uBn7j7++s/c6WF0FZQGoUpXZXmpMfl6G2NpmzRYkJbOquHMPaWl6evdch0psEJgsi0XSGtOhSqCHClRws3cC6RLOfvSpluQ2HT+ScF4Gbg97Trq3dZ75OB2bV1uS5TAF/iavMTUMXjK4trtCeTpGM+LCIKIE0uG3/9yHbSPJ0URYObyRKxj8LKzkA0JdWBzQ3XCyOP9bxnw5/cOeGGhQS/xqMVuU1pXBWiLThyV5QTIPer8WGYrRZZVzllckKRAjxOJ1govcfNSvBToLnGWOAtWOQvWBfcmHRyUoIVF2IS5muHv3GpBJrmt6zTn1yHx7PsZjYlFLmuzmTcZmMcduKxE2iKMq8t5y9UrLIfPv/7UwvEPYqN//A0Z3Hb/iERJf8vUC/gVydBWQKl0CSx/QRcFj+kqa0HZIiLGzbwrYufJX1layoRbhopSQRe8CJltJ+gaiH3h0sq+cFLAjWDOHrOm2lIhkaY0B4V8j5+sq74AuMxlS+DbvKXN901pcE6Ml7K3ryOkDDl2VrDYqSC0JpCMyZM8PV9KiuRHo1R8VtbHcaIIY4/Z5oidmwa8eHbEINEMEwgSN97Oi1MdHpM7S0UKXY11KhRZRFlq6C6NfEgMOjEkSqJ0tn25yneyc0OCysA2KFFMxnKfbUqGQGmYUHqez+OTlfoGynmRUu4kd9/SmGIsve0sY2sliRnx1UeP8PjRz/pSJOs+aR3Af/PPj6Ok4M4nJENbRXseKi2hzFafzO5JSqnYLA1Lav+ALSkSW/yP52HtIjZJbSfIfVY3lQqXcBApaFMJkD3P30vJvigFJW+w9ZVwYB8Dt3SPfgb0LPgk357QT5skMoniaadPfT8iJuLzD1ZZWKziTSn8cg1H2UFhgszGio7ERBCoGI7cBNu339rjwWeGdOIKfa2pxoYwTacrWRREZQVnDmjZJ2WB5kTNh0lnqlhIlPtMbQSxEuhEprvYpRuBpUAvAG4LoKeZZFHKTYwBPAXi+QFeejcHc7kuaTxJSOnP8zBaWuJE42u49sI2iX0cKdcnNMcA/l8+eifTU9VX/+rv33v9iYVTTFccYLQoRgpAycOkKIM1FKN485qT0sWw7hounfgsKyYpEgkKB+xsdkcGdiULjasyYEu3n3w2CqEM7HwOisL1I54P4FnAmelunckSm+rt8Vpy34vwvZCzbcMTB6ugfXQqT3SpQCn7XWIC4e74FPXT+diFLOuYKKLI45oLR8y2BrRXa/RjRU2BF7vfohI3TElFZYC7DHP+UTkDljLKxuYJOaMMiRF4RpAoSaIMiRLEKcjjUvFaVg4hM4coA3Ua7AphkaRbGJaKs8qFcuuRUORCsu95PsCXM9/lNUBKSxhpNkwlfMdtjetF8x2v7pz9uw80N337+QHu2ZB4YP/Otoa5ejWICDxNxsfZvz6ebs3qeyeK3cvMwflvBcBtUZJJykgUoC7XQUhBrj1lCewZyF1zcdap4mSJyrtXCmBnzbeOvVPNrcn1dmYJOsYuwO3l1YkRgojb7w948LkGMtBuS5a83HS8ja7I9E1mM8uj0TJPXJEYxWDocfPlA771NV0+fHuDMAnoJZJK4vbK0bKoVsxlipQpi5c/6uWYHIyWaYe7yMGdKNdnGyuBlhKpbMn2LIF8rGRinL1lek4LcL+MfZYjdrKqdEK6lDPfOdDTi0HAWieiMqpfPaPDv2MND5yXwY8dP8nUVP0tn/rMV/+eGJxj85TbJDUxWTHMeMWatefp4CiduEyinJe9oaQZi+o0SQEMVap5yMs3Rda1Mwl0UgYnb8MaY/G0G8ZT4+B24xQmmDvt2fTT9jZPZw0HcekeERLxJ3c1SWyAyrOX5QCz6GvMnI0xDZ7uRpx3ORmJSe1CF2xqBB7ve0OfP/j8iDUTMUgqDBKBF5OzuJQWGYu86MzFSpO0IimsSVECuSDRabe7SkGuLco4uZJIi1SGWMrUsZEFoEssnjN4xtyiSNYV+Z+vB3JRkrcOuFlanzFNvr7fIDGSKKqwsDpkJJK/t+fSb7lnZen0l2fmtowDPEliwlF0YRz199i457akiK0bwWWKg1LurytXidn8KnR/5+UXpeJJIVGKgTNygvkypl43ZzB/Xsz2yPakUSm4lZoYdpMCWytROCm5Heg67l1jss23MMyYW5fYO/BCnjgoOXC6glUeSkp8aZykEmWJUvzISRclu2ctf0X7n8gdlSj22LMl4rILenztpSqR8hnEgooEL7Ho2O2QoUTahROnOhyJK5Iof+QkOMZHdyR5ZaOrd0lUesEmbrMClY6AztjbAV2WAF60D2YzVUTpvI6DfZLEXQ3DuETJsrGFTCmmLWSlxoLYuCH7K2shlenhnigKL4yi+MvrGPzUmRVq1QHtzqA0icmisrmBpV66oq+yDPRiEM+64vfzAHyy3DJf0ikDfDyQyt0JCUqIontekHe6ZEye7XtZ3v47A3h5+I/rticHdp6tzJk7SbcLT4NLHWGJ+NO7aiwvVxGBxpfgTV6I5wswx3zwbP5Lwapj3rRRRJFmbkby3jd2eeJgk1FSoa98qonT4lk5q5Kk4M7WCpN64qmNm7L4GHjyER7ZBeZKVbUhlUrZiuSat1U2HVjIPMnkVgzGWLwos2Adk68juUmgl75fpsuzVkZTyhvkq53JWv4kxibYZEA0WiQOR/m/mwP8f3zkz5FC0u+1UUrlroZKihHGRfdF0f5fblKYlCTrTJPSr8uBnYPdrmPv8vBMkQNc5Cw+xuCqeCzkikTpcYD7Oh0A5GVbB6YZTm3x8lS8SZ8nY3etXOfOC8fgk3c0GEkfJVWavRyfyTKZwXw5+WlLJy9zU0zK4HGiCRLNe9885KNf7PPM4SqR8uhLiZ+Y1D0SyMTmx8oFfiIve3A3k37W+L5FZSYvwO0m+2qTSUGDTLIRE8XIZeeoyDEtngE620a8ADiFHn85Fs+NtkIJQLkxPS1MS5tnknSbyGxcs1KK/to+Dj933JXYlgG+tHiG2blNtf/6K7+5+7kXVujhMkdxuvRls7rLXc5WFnKkLFXGWNuOX7aipMPKP7bsNkwGZ9lSnwEnZ/LyuIPS+IPy1Cats01eU+2tJsCdpe+9rDHZuJkheYtY1tMZp/cI5YUcOKXphj4oncoTO1EeO37xrnNRSnq4aPErpdJNOfGjqXuCvVuHPHMgJDEBA+NTSVzNtk41uBJuxrZLLGXBnaEwd01+IvIMZ5qy0PkID/eeSodluoypY+zE2Px4Z2OXY1nMXx8PNBnT4wW5OaNvktGLvIooHZ9yL0G24ohCLmdzyE22LbllYVlivC273/7OH6idOvnD/a3btjiA9ztnIFl786su2/DjRw/vwySSKE5PTpL+gGzkmijNtWB8YMt5p0+NAXycycdATRnYYhzgJXCXx7KNPapiyKYsyZLyLsaeIvXCHbgdgIuhQF5ZnpTZW6V9nX7IStfw3/+swfKgggg8J09kEfhmoxfKv+vlbkW/YqE1CwZ3jkoca5o1zY9+e5evPtFkeeQTSs1ASvy0h7IY+ZAF7QWInG2XOimYFNwGS6l/NmVznc4UzIL0DOwqA3VeQJaxeAFwkf0ZrutqUqYA6/T4JI2PuSSlQLOYsVMa1ZyBO91JYhTBylpEMD3z4489ue+BcDT885zBn3jmeQLf59ChY4RRjKc11tpcPyalq9JIMSZTxqRJCeiT378cZJV/8DhzF90veUe3KECTuROOxUsAV8X4MVUCtZYSnUoSnQM809wmDyo9bXJwe2kvZ9GR78DtqQjfD/nEXR7PH6qC9JBSEmTjKkSJzUSpD1OIsd++DtwTcU1ZpsTGtZzFsccVe/q88zUdPvrFCkYHDKRPIEWe9FFSEIkswbSeyUWZySc85lyqKFDWrQpupiT5bEclIZHZ7ngiDWwLgyADvRDp2Oz8AsvaDbMVXEx44+twnn+/rHe3XDs/FhAnpEVqIh1dErK2cpTTJ2OiyG29qAEOn9L4vsfRM4J219CouR+W0Ww2K86I8bmCWYHgOuYuUk7jIC8tU7IM8gzokgmAi7G2r28I8HygpJhI9GQAt25OdipFPFW4JV5pOFChuR17e9pNrVptG/7i7gZL7QAq3oQ8eXmJghDjh6N0vNbZdqUacZNKlCjWTDcV3/b6Pp99cMhyLyBUmkEiU3syBZwQBeAm7bmUvbO3TM7mxSxIZVMdrgTa4oanGveYqFJwLy1J+plCFKAva/DMQRqbq5I7KS8D7ywIn0xOlb5jsa9Puu+PcRLaWmg1LXt3aXbuDAhD9xn6xf0HmJ2d3vXAg4/+2HNPnaNW0SglCqsnc3GFJRECYdLxyBMuylhN+8t89/zHjZ38zDkRE9pb5PX0WXApMkCPyRRRdLikrK3KwFbFXvQ6Y25VYu51DJ6NmyhGTmjlMpdHjgpeOlbBECCkc0+0KEoHxh0UUXI1imWryBWUmVyU5El2AlOQG0mcaLCaS3aG7Nk8ZPnFKjbxHYsnIs02Fy6OKJ+7PNBNBXdWRgvuddaYkp3LbIXO2TsN3o0DuCnJxSR7bkSJvW1JopWblO3YuT9fsJkdoPIxKuaRl3aYSOfMFxLFfV8hPI4eW2Fq9vIf27P32qdOnTx0VAthicJwU+CLt2C6tJp+vsFRJFzivagosGSTlGTJFx9j778EwMuj1zJQw4T2HmPwonOlPNQ+f1QUzJ374OV7uqW1KoO7BPJ0v3pPpaydsrdKX2sdoVTE57/W4MBSFfxCnpTdk3KQnAXPX0+Ej091KhIZ2bQwUy6jDTUXzIW8/eY+j75QA+MRJ06Le0k65DMZl0oFwLIlNbMNZdoqtt5fNjJ9LtNVRWZ3d+yTdMVwwC7HRukKbAomL8uk8arKzGU5P8BzIkhNimJPpoIAkpS5oxi3PWEMiVEsr62ye699y3A42jQKk6M6cP0CTNUlWzZoEqMZDA0DjNPZMgNvygilwYoyswm/EcDLfvB5lu4MCOOTTcd1txDjwM5lihKlJtwSuNP5hMW2HawHti4GBOUj3rRJQR47eaIiqrWQr+1X/PnddQZDH2oaLQWeGJcmkwHm2G99mXM5pr8nLMOyLx7FmqmG5l23Dfnig30e2e9j6x6DJEgrLLPitDJ7kroYGbgLkI9XiJjiAlOOzRPp9HgG8CTPHouUxW1xfnKpMmHxlkA+ZiqUyl5f/uIvZTdzQ6OUFCvt2BbF2c4YhnYnpt1NCCM3nVdXvBG+0kzXR+zYGNMZeCwhCGOBjNOTJEFakSK6iGwpJXe+Lnvnx3JiB4FcK5Zch4zFs8Ay0+AlYMuSNJFZml6WAiJVLpt17W/ZCGWdbsKk1TjQvZyt3V0pF2D6fkgUJnzxoRovHK+B5yGkyst2VcaYsmCx81URjjkqZdbOShrMei88u2d2YRhqLt0R89Zbezx9tMoo9kmkx8Ao/ITiu+REkVl060FuJ74LKrvYDEYJVHaepcAqd+qNKYBenIvSLEOTXlhSFGUXcr1bdj5H7eVAnpFnkRwT40nHNNgcDA2r7ZizyxFLayHtbkinE6KHix8lVAod9bhoR4cTC4KVdpBPfM0+v7z8lNPzZYTb8pee/CFjQeX44Pos6MxYeuxRrAf2mAdeKpMtAF5MTs0lSgpuN+PP5kyt88fiuZcGl1pFBH7Ic8cEX36wRn/gQ91DiqxysFwTc54sZum3lo9MWfKRetDjbkqxN2VSKsAKI49GI+Stt4z47L1Dnj4cgPYZGomfaXHjmtCL2hBnEpCyLEkZ7AWwrXUrXy5dpGPzbFXJk2sp0DPrVtkiLnMXuEiBnp5PY/MS3kKO2vy8j7lrEzjKL8CM0W1J1qXgcrVJ7hgutmOOLsNHPvMwf/qV54iTBP2rf7aMlJL+YMRsrYsWcOLMDFpmmwVNXmlp0ZD4+tydn9aJq7a4iselyNiSli/1omQRphpcFSN+J1nbTbcqPdfl+eDZyOAU3Ondy6bQpgX+WsXuriM8LyK2Cbc/UOW+56pQ0SBdQ7NXKuEdK40t38svzstQk+UOIm8ozxyVLNDMgD4aerzuij5vf3Wf549ViGMPKxQDofGS4vuIpGDx9V9jnMnL5RZKZczt2Ny9Fkgjch2eAV2mDkueu0h1uZDlrHS53r+kx0uILuPjZVF1nmy5FK7kQgjYvSVB+2tcdHGX7ZvaWOMDFn3HgxtRUtIZjAjDGptbgk3NiOmGS5RM+tdi8hudF9zj/w8TP6ocdBQ6rfxewdoiZ+3zpelL93THAp0zeOmui01Qs30ivRKoM+fEOSbuUakI34t46qjkk3c1AB+khxAKL0/u2Ly4arzEQOQMlV3sBXeL8RNGOYDKGFw6qZC41j03hVbl6XtrNe97w4A7Hxry2CE3SSAyin4i0oKv9KJLMvYsNyCUedIxH2ocPNldpaA3MrVfM/Y0pcyyLQWY2XNTOreyVC1aYvICCxPZ7b/kLdv0QAioBJbZKcur9irmpxXVSpXEVAGDvnijK5oZDGG1rfC0+3JR7D5YqdLE/4lv8XL6aQz/onSaRXHlTYK6YHKRW4Lj0qSoIJwEebEdR8HcxQD8MtBLrF161Jn+Vpn+jvG8mCiJueeRKs8erILngXTBpV+yBotyAtZt4jTOmuP8aUtP8tr6cmaxXF2YSIxKs5uJZhR6XL5nyOtudCw+SByLj4TP0Ljt0fPAL8nsQutGSjEO8ry0ucSeGYNbZZGpP26tC0RFmv+QqZMmTQngcvx4mBLYx4uwzuOqlQ7T+YA+xvilf0unTeXWCIajBqfPVTHUQAQO4Jdf4JptF5YS9o2yPS4Z+8GUgViiZXdl2tKXKL7dmESZdE4mWLyc0BkD+pg7QV49WDQ+2DHdXYDd5o8Zc2fzwnUO6mICrdIlgKcSxdcRB84IPvbFBqPIg5qXyhPy1jQ1ljksOSdjS9X5SaDM4EzIFFPaQOD8WlxTDyTf+9Y+t99XZ/8pd/ElRtFPlKsyTNLkT5Y5TNKxHJSDziLczL35NKDMW2xV5pg5EAnp9LkDuMhlkLSF9i5MgomLfaKEoew0jYN73EbMD6dN37Nk1Qf5v2esYDBSSAGnl306g8BNAbvrrn+zseIl//eXHjhxyWpbUgvIy0zLO3AVdSCFN+2CQZknNXKdPOlX538mS2PHZPpvy7HXUskxyy9/zJoZVDmILAeSpAxdCizHwF3ob2+smCrd/UFHeTODp0MSGfLRz9X4gy+3IAhAVVBKU1Nu5oqvbF6Z6GVNzmlrXJFJXZ9hLcp6JyUWpSH+RRwhJEhVbhdzz4U1bN8UcmpJ8vizPrGQIBRGKIRwpbRijEzOw5alnGJOWZOmQe6YlRh+QrtTqhnJLp9yfFHuQc1S8ONlCpMlH1nLmshdO8Y+r4jVspxJVtrbqCUkZpWoeskmWjd+Rf/eJ7ut/YfN2549FLN5KiiVno57zkWHyno9nT2ZJK5yHUb5AE8y97hMmSiuyqSIyCypsv62JfYuWDuXJ2PgzrYzsROSJKsUzNg7wtMRL52W/PFXayA1SMfeeed+uZuovMLABKAYY3aXJRtn7/KA+HLiJau50NaNYEtMaTyeSrV4ovnON/b5zD019p30QIZYIRkZj0EqT3JfPt0HXiTlUM7m4HQAsmnjijMXVPo3VMbm1tUgZWztNLhNM5mpP24LCWpKDJ4H4XbSbJhw2CblSArmgq2tO9DGvWGEq3yMpWueNlawe/OA3fW1t1l1tKXPnIFBW7CxLmlWKaruVNFQkGngMiDHlpBJwIuCG8aDrollqpy5FMXVmC1xagzs4/NGJsFd3lVtfAMqm0sTLx09rHU6LD/zu1Xsxi+n8iRRMZ97oM6+A4X2lkI67zvvoJn4vqWld6z8t6CAcWbMn483IJ/PE886300iSWSWwndS5dILR7zj1T0O/XFAmCgQmjjR9BHpNNhs1LFAYoly9KwvHMrESgFy18htZRZwluRLOrbBPQcjHfCNOZ9EKYG9ZCGKMrgZB/oY4EuvpUhXiNzjz3a4lsgI2j3NaNRic71CraLQW+c0KtFsnpUo5XYMGNvPXJ5vg9DJLZ9LDF664mRJcxev04MtJ4BdfswCuDRjNh5clrcJZBzcssTg+b3YZS1LvedbnEiDltnQfDep1vMiDp9R/I9PNxlKL2VwXeqaz7qIyunwMlOXhePL38aX79TNsOUtX0o7ZaSp+8QU4E6MJk48giTmH7+7x5/dU+PQaQ0qAqOJhGNxlWQXXKHHiy9YBnkhUVTmz0sHdpkGwFJal920mfds8vR+mgNEZNu4W4sZc8rWa/Ax63gC7JM5lOxu059gRZE/MFn1oZGEkWA5qmArVeqjCrpRU/RqbieDTIaMS5SyPCkVEJWCp7K2K7st5eAivwLTzFaxr/24NBFinLWLJgc7Jk1k2m1SWITjMkWP+dsmB7VSE66JysaTxWgd0gkNH/5sk1PnAjfRS3oIIfMBQ2XfO38+cRLWBVVfD+hlqZI3HpRdlCyFL/N73gwhFUms2To/4gff2eUXP+bTjlxAYK1kZJSzDRORg7wcbOYRW/4dMvZOPXHGL0CVuisyY3PpZIuw1k0jy85dBvb0fJoSua23UtfLlTJPTDK5KeMld53cZIA4JeTRSNDpG4xM0C8dj1hZiRmMDK1m2jCQZQpFxt7lAqlx9s4W4bGIeExvr79Kx3RZWXeXlrYc3CWgF13rZVlSbPrqAG7GAO7Ab1C6xNrZLgkpa6tMewcRH7894EN/2mRkPCdPhMrlSd5UfL4Cq9IyW570+vXofH1FYWl3MrJSWpnu+W7Wp/CN2wq8omN++D09Xjrm85HPOS0OikRIhiZ1U5LsexVWRCGexkVTVgdtASttrsFdkZ1jcZtltMfYOw0aM6KyqVUp3AWQgb1cFj2ZF5mUKJMXQF5bLpxFmYiSjWxc0F+tWC7YGjI7E6KnG5CMoBq46aqZTCnKVcXYiVvnb5+HpSevuvPe+TrAPq88OR+4y66DGQN5AfQkBbYbQ5bXmaiS/lZu1uDKKvzZV2usjjJwO4B7Eud9i0l5Ug6E0+WYccBP4rustSdBPlbVV9oZeqzTJ93wK5ESZRTGOM095Se8+019PvNAjeWuAhmBUURohkLkdSqTF2PBVLb0HR2T5wwu3fYlmS631h3z7KI0UuTnzVonIaRwdSxCWAd+Mjkn8mtofLUv76RXwtKEVDElXCVMYCcRJAqskbS7FYSuoqcammTk0Wp6VAJdKlQvyY9yi1E5cJq80kqABs7L4HIC6OVWqwLwJbdElNqkSnZQPj5YTQSYGUPLAtyqlLVUKimxdom9azG3313hkWermJL2VlKWCqvG601eFjCl+xiG1t0csAobrpAok80QhR4XJFaiSr54nHhoE3PTFSHfekOf3/+8DyoEIbFCMDLajd8jvQApMpzrvktJtGSJJ5X+ibTuAi+zeS5JZBpsihKj2wyURSNGdrxsqesIMUmiduyYjQF/3Xvjx14K6FrBckditUC3GhIbSWan3DYV6/sqy3S9fsEd+yITHzYJbCjJknyWxjh7FxrcTliD9vwSpRRYlsGdbSeoVKG9lUpSiZKCXMYo6Qa/Hzou+djtDc52fbfftXSD3pXAdc2MAXv9hToZfJ+PvSdvY4meErNPbphr0gm01ph08yrH5CotpVXSbX+ysZ7wfd/a44FnAw4tSBARoDBIhkLmm0hljEkmWSZAnn05JYvg01py8W1lqQoyC0ZTkDtAp6W0tgCxleTPC/laqlfPjl/e9VN8p0Lt2bFvChR97SWrcxQmrLYTlGfQ0w2DiA2zU5YwccPvx4qAbKk0Z7ISpnw1TQQHcgLkRZBhJ5h7Qpa8jPbOOrllPjrYvaelSd+zY+AeDyjTR2mc7pYJWjpp4vsRo8Twm59oct8TVVccL924aCll2rVDMX+k1EW+LsCcYPKxQGkC6+szmEWVYdkdKHS3LepUjGs3yzb/ShJDLDUq1rzu2pAfel+Hn/lNn1EsnedrJHHqqhSVfuLrMnkZThanu8mYOmN3SRE3pK5G5rZZMSldyo0Q6/FxPmclP1JCMPYtbZkYshXQppt6WTq9iNVujA4S9EyzD/GQWsUgIotOip7LYjBNKZXLeDXDOjuH831xW7gmE8AudKzNmTzf5HWMxcvSJJMqZoy914PbpO+XrMAM5CmDe37MXY95fOa+GqPQg6p22luqnL3z2YcTzH0++2ssQUERbJ+PvssmXT5fZgzcrpOm3Fle1uLSSFQJ6HGsqdZi3v26AXfcN+DOx5SzDYXrWoiEZoAoZIqd7PYpTmrmmuTEJgtdblNd7vzo1KITWfCZyk2ZSRHSADM7106C2AmMnA8/kyRqS6tLseLZ1EXJNt1yjQ9rfYuqWvSTL/kMuh7tnqBWdSczG/4y1mBcTr1OErlY/yhgopKsDIxxYJfZW4giRe3Abca09yTYC3CnoNaFJVhIE1OSLKn2lm5K7FrPcvsDNfafcdu0IFxJrMgTO5Q2RB2XKmNOUP67RQnoX0efZOC2GQrs+pUzn/FYqhHPKg1LZbRSKGRikFITjTR7N0V862t6PLLPpx1Kd3BxejxEISnZhjmDj8sTR7FpwZ0smNxakQaY5AkXm9aLI6zT4MLFDplGtxkGpGP2DPhClFnddYuVcYQQqW1fpKCKtL8t4pMUq1l5d6OmuGSnZutmjW7VPbTRDNJdfK11qc8kbexMBPkVAtk23JMIn2DxiYBiEti5H55PjC0BXti05tue1z2RoggspXSZSpmBuwx0VexMUH7MwO3pGEPC732+yoc+3cAKne5k4ZwTx95Onky6PZPJnTHmzkA+wUDnY+/yijjuhZdlSrmVLbMMZWobutS9kSbV5G6LQKkMP/yuPgdPe3zoM5ooTmsMjMQgGAmJMhMlvGI9k9sSb6Z1WA7Q4FyVzFEssbkUWQCZrQTFcbOmYHEXW5YaH0pkiE1JYoJNs2SYS+q410nK2kk6gc39CkOna1ltg940GzMIIuQoxABx7NrVoljmhfPGOKBba10W6WVY3LH2+qVHTmgvUdKyouySlFk9A7Mc1+FykrVl6nNne9VnM7qzTWIzcOfSJEbJCM+POHhW8pl76vR6HlRVwd5l56TclibGEzzn9fkzUP8lkjwZg4/JwBzsKdDTRgNrCsky1vWTTaaVTotL6WYaNuoJ77qtzxfvr3LwTJohw7F5YgRDRM7kRdfNOMidTShQpS+X9+hmwaYofX9Z+N1SAsYFm1Y43GTlHhZbtEFmhJi4Yzbe8fMyx4psVqZ1ZJxYosRN9ooT6A8SzixHCC9Eb5hLGFZGyLDDMGyw1vXTJS3vo3dXd17CWTBQmaTObw/acXkiy/KkVM9RDtykkyVl7V3Ikmz7PPuy4M7lSO6UmAlp4gqsRpHhjofrfPXJKgQqDSz1OvYupIkoXZTuNztZMrERajnw/l+5ldA9VjpbclLsJKhTFs/0eCIkMlFIoYhGijddHfKmmwac+ILHyLhqQ4xT4LHQDC1IM2FD5N8+fS1x3h82Z/Gs2MniAG0labGYA7mUqX9fYnMpHH5cz6b73Az4ZYmSjAWZRY3TZL2OMenMzBK4R6FlrS9Y6sHayGMqDpDbdm1Y64T6i08didF6SOAVpaV5ALdONxfbi5QLoGT+ugTIUolrppt1KQOZVf3ln6VMMUhHFX9f52C2qRSxJX2d+d5lC3AiuFQJUrpOHenHPPCMzwd+d4rEalBeWjGoEVLiiaKoSolJBrdjF+zYBcx5gP51kD5ZBlqWKWX/21rSHTREvsd94a6Us5sq9cbdNCwhJD/x/R1uuaqPDGNIonxrbGsSQgMDA6GBKJsxYkjvIh2d7e5xNq4hddqKP3PywJT+bpKASdw8w6T899LXJmXd7P/LgsPE2tQtyoa9uveyeLBo58viQ5t/fpzAKBYME8MNV0fs3BV8sblh15p64tjW3hfv7x5q92s/NNsU1H2ZjsES44U/2ckr1ZmMMXN5z5ixBoVyiWvZ4itqnpUkt/pyKVJOwZedkiz1rkrsnafok1SXm9xNKWcss17LkyuCD3xsigeerLtNeaSfA1xLQVWSbig1Xh57/ntar5MPyZmoo09r3qUqvyYNpkukkAZh2SqnXuaYFsfaDaEfC9pzJyodgmktc7MxgbY88ozP2mAyaHCaHCHyHTbE2BI0eXWK8RXKjvN95slMLkzr/p3Sv53p+LEtSvILv4gSsljT5MG4TYfCko5wgzixzLcs77gl4LrdC9/XEk/t12+/vopFooRCWkNiE7RyV4ZMsmSAOybulV0XQI0FkpAf+PWuSXmOXeF15zpcjLskk69zeTKxb4xKt7WTWXVg/phmKmVRDpv4CR/77BR/fncdW8l0t5MnOXuPae9x/T3unpTrbUQBgJfHxToxQJoCzxndMhFwZmMlSIfypHahLAhonbOSSpVEaOQg4d2vH/DCYY8P/rYmDOIxo95Yj5FJf1A5CEhKSZ5SMsjialuAYnRfet6RFmkYky1Z0OmKr9yFZE1hMAghEIn7O5k3bktBqLXFKmhKx6+8+rkxyllWVfLYcw32HfZJEou+eMcIhMCaCGFGaF3MXM7+gfPu4XreAGty+S4FkhPOSaHByzOnKT0vpePzoLHY3VeOafC0zkQmrvtFlZwTmSDzmpOEOx8N+N0v1Bkm6RR8md2d9s52cxvLopaAfr5yg8kamzGpMk5b62UKGagLnTvWRZMC2sqiJsXKkkyRJW9cWGQiMUKRCIMwBmk0gWf4/rf3eOhpnzufdHZhFnCCIEETWhd05mu1LIFcTGjwNFBU2U/KGhCy4itR8siza0c429BmK1V+jdmcIDKVINPprbbsRk0cyTzNj2PvUeyYfBRBTETgO7bXzfoQrESIERXdw/cM/aHPKKoTJ5ooTg9qiW8yRioK+ydckokZ0WWXpAx6VQb4eUCuVPaeGWfwnMnNWCA5tmmpdLvzSpmm5HVEfwQ//ztTHD4VYPV4YCmEwMuCy8nUvJxk7vOAOYfwRJQ5hvLx0zXWCnae7HE2/8NiMZSmwI5lOQVGSOcFS5Naic5VMcaQGI0MDRdsjfj3/6jNQ/82oDtMf4DJhIkkloqhyVaiEsiNHQs0s59hS3+eW/mZoyKzqr8iCJXp/+0YPGPrYv6kyCsPSwVVpZTiOgPDuu/q4gXLYkfQDSWeNBhpqaUxgJ6bbWKth6/OEYXnWFiDKKqw3K6x2lH5ErGuNDR7zIBLSY5IxmVHBo6SZnTAMePSZMz7Ht+yrpAlJcCXXZLM55YFc+sU3FpHxAn8+qcaPPlixXneaToe6XZQnmTvPLjErq/3LjH0+D2rvThfHw8FcM5D4+N1KSK3w9ZJlfM1RKRTV6WRGGFIhEQYiRRpi5vQSGO45pKIH/2ONv/tEy3CJGNxkWuN2CiG6fcupGj6faVrOs6SOyr76sJ1CimRpfHLjoo7t07mlJg8+8hsClbWrJxeyAJydyX7/7NCqvK4EYRwTC1gKeoibciZcwHzeo7puSlGYYym9U7qtSleOvgwv/b7x3j4hY1saWpetVOxdQPUKm54vCYtkRTiPIy93mUZtwLHrcF1j2W9Paa7zTqwF0xtJpg7CzILi1Bm1YKVhK88XOEjn2rQHnjgZ9rbc9q7xN7rNlidsDLXFVaVNbcoL6ligtnLmmQ8TT/5xxmzj029yqSJLUmTLPEjs11/042hrE0li0JK49yVWNGsGH7gPX0efz7gjq8pqMUpM6d3KYiNZAiu+6cQTSnIMutQkI09s6L4szEmz6xD4f6NvEpVTixwJlUEaQDnSgjSlH7+77uygozxswBea0GtonjVXsWPXWSZn+ny1ScX2HHhG7ny8pvo9dvoU8tNZk2NR/bN8sBjm9g177Oh7ihlFFo8LcaW6jEtJOy6k1/s8lto7XJip7yvosr+bCypY3PWPh+4lTRpl3kJ4OVkTsbmuTSJefGo5n98ssHBJc9VxItCmpyfvV8mHf+yens8qSPKZ3Dylq30k7UopfT8WNd6qWtlchLsZDJIZpahsAghMdKV1LrzpJGRZc9MzD9+b5ejZzUHTgmsLgFcgMUjtpKBzWRJJhXItXfG3JTKqG36Z9kIctfZ4IDuZu7blO3J47fxx7Q9Lj3OJr0oykFmgTvSHfQkge8+cGm1hRA+t12xwraLfOqzHknkoVtVQSOQbGnB5Vst002oVyWVwI2DKIJL94OywyHPx+I5OEuvJ5M4qb2lRLbXos3/LH9PmrxyUApTCjLN2NbSSk6wduqUSBkjZYQfRJxtC37+t5t85q4a1iscEwduhRAU7F3yvIsNVsd97rGGhtJJGpPcYgLkEyfITr6w61/nWrv0V1x9R6mtLU/hZ1rcSRUhBTLT4qIUdCYGTxre9foB7ZHkx39ZsrAmIEhpN+0ts8YjwlmWGcgtTovbVIur9M+sdDvx2Sy5kxVmpeCWKYs7CZPuCiJEXqMiS4dIGpcdzXYWylroTMlRGTuYqeYfjCRLqx5hJFlQEm+uwea6TziqICuBol4PzjZq6suX7pmjVRdM1TXVwE25Urn2zmoFJrpZytafLMCcjzVLeyazDGVe9rquK2eCmcsZSvUNwJ3tn15yTjwdE2L43INVvvJorag1kanulhqERAvneRfdOucbZs/5+y5FiV2yZVaM4znPgOdnZD3Sxxh8jLlFoWfL9eEpa9ty4sdmNeNFEZYxEmNVngRyFYcKaSRvvmHAO24d4IsEYpf8wcRFIshaQgNDC6ERREYQTSZ9sjndWWIm7R9Nxv48HYFhKZI6qYdd3r6w2OWifPGW56eXDlvuLrkJbP0hrPYUC8uSXriJ/tD/spDB2TjRqP/+33+Vm26+Zc3Tck2J5Hv63WWa9YDALzZLzQbVlOeT5INqyuAudd64ZM1EoVReSzKehi/bf2qdLLHfENwZc2clsFpHJNLw2fuq/F8fmuLImSBtYtAuqaPSURB5UscN8tGpg5KVx2agL8oEit0m8tFxojQvUZSn3hYDjybny8jUoVPpoyzdJ1+v63gSE6tKLh+zYHiiEAwLWVGTKC64mWbCpRdGnDinOHBcu/0ox4IK99ykAWJeQJYHFeUreVJDQOn/yK9rMX5dF0kgMf7/OiItTyAWxXvl3EP6/2XbmQyGCXMbd1GtTf2fx44defjqa291e/RUA7ej71QdZlsK308H08tiJFp5ZMNYZ0uJuTNmzkpeMy2uZGlf85IkKZ4Xu+eqkv6Wsvz48uAumNt16HhewpElyUc+XWf/oQDqZWkic1tQp9p7bIjPeQLKoopwQpqU5AovV/f9l7xltSfZzl5ly7AsTcqd97LM6ka4LWZsGmRm70mJsCod2JOm84UhHhkuuSDm+9/V5dFnfY4ulsAtRZ5VsVIRGlGyClPBIkp1StlSlVYM5kpCFNpcpvrOUsgWF9PZtM8t/aczfWJskXwy6d6f1qa7lKfHOjYYC3FiGIaCKIqYWQ1ptEaEYQikm1BdsncvflCh4scMOkdS/7QodczBnbkLGQOX9fNEdrIAsaEsXc7vmJj0oijZgGJ8VJksg1ukkiQHt/O7pXDp+JWu4Ff/oMk9T6Yjj1O9nSd1hKuU9HHSpJjIWmpy/gYBZiZZsnMrsmhfyJcltvOBeiypQ+F7jwee45lNk84FLAeeObBTLS6ECzalMRjhvPJESEAhhCERBvqG118z4p++v8PP/U6L1UHJ85GQNVlaKYkyczpzV2TqgKSOSuaaqCzYTFc/ZxuKkv4urML8GElbmN/pv5PPpjAuFjCWfGgQxpKkfyyMISQtuoots3Nb2Lv3UvqDQf4zmJvbyM5dF9+h7cIHtswrGtWEiudm/I0xd9nSy1yPjK3XpdUZkxx5DXdZf5/HIVFlQKuSDZgzd6a1zVi2UqUtaENp+c1P1/ntTzXoRqm+EpOBZcreubQoJXbKZbvpEp8HmNlyKcbZPF/US5FmCSrfGOSlGg57HsCXd9UYbz4pZqeMaXEjKQ8NKre3GVsMDkoSTUPDD72nyw+/u0O1pMFzTW4jsAnGWiILQ5NpcgityAuzMt0dm9JGUdk9Ky8oafNiPF1RjJW9l6XfM71e1ubZ30vSWvA4sYSRodOPGUYeB4+e+8Bll+69Y/OmTQXAZ+c38+Q9/6Ff908d2TQXUa/G6yrlyk7IWAFVnm1cr7XH7ucDtipdADl7lzR3WcLkzF3S3flrp8HxDC8c8vmjO2p0onQypijdS0kdN+fErmPvdb95wkV52frvr0vZXx/qY0xeAnoGbJMx+wTQx+9Q7GCcZp+zeYamGKRvjCSxqgg6I01DWb77zX0uvWiEdKWABdBz0K8HeV51aFNg2yLgdMP7S0FmDmyRVwuWgV6A1479P1mlYQ7y9LVNGx6yY9UbWFb7mhcOrRz5zh/4uf72bVsKiQIwv/vb8P0qTz91F8fPPgdU0+GV5CxdngkymV6f3Mc8B2uuy+3E3zG5XVh+b1Jzu5R9kkuSXHfLJAe3lDHKMzxzyONHPzDNswcCrFcCtVQUKXmKGYMT7J1Lj/xe+LzjwU4B3JerQ/nL1IXbdU/KbkohVVgnU0RutxQXgsgHYxYFWBaRpvKFcMAQwvniRkiEUSTCQmi48sKI3/jxNX7oPws3D92n0MZZMkgKDJKQTKOLNMFTSBAtRJr1TOVKls4XRfKHtAki88jLdqrFYSyLA/LjbYrKlPQjALcC+55i49yAq6/dxWtf8waGwwF/8js/PQ7whc5Gmo0qX32ixTNPSG64zDJVd39hTJ7ISSae7Jc0fKMMZZnNhSj/P+Njgl2KvqgULKoGC1kiRYT2ErpW8D8/U+epFwKSzA7MpUnWZ5kFlkwkdSbrZCYC6QkZUmbwMozFGMILufKNEV62w0WuT8oFV5M1406TOlfBiBTYuf4WKbDdyOrEWkTatZOl8BOhUvnlLiWVWK65dMT/8a4eP/HfPLox7iBllYZZKZ/U2BTk+YVobB5wZn54NnJiDNCQJ4JkdpEIO5b1dFWJFEFm9rkK17OZ/m4j3DAiKSXNusctuxVvfL3HtguniSMvP645wKcbPo1G5eClu1qHhkutPYIEKWXa83i+Rt+SBZj9nTwpUwY2JWYu9Puke1KAeoLBS+AuM7dL5sR4fkI/gY98ps4nv1JnJEvglmWJ4my6TJpkq9EYe49JEls4JxmYU3p/uXqUMtzXj297GYyXvO+iVLaYO+Jqncq6O2XMidoUY106O2PwMouTZTfTlsMk3QTTkGU5LSIx+MLy3jf22XdM85FPN+hFAjwKZ8Nmzx3Is8DTSgdypECbohLQiqJGRZEGo2l2J2f07AIRRdazYPOSk5JkRODyMUa4fTKNskRRzHJvjoXVzYc228bBUVQc96xmhl/9b/+Vd33bmw/Nz9Y2iKRzm03WqFdFvuW1VhPgzhsRzjNtqvy6NBgzDyhVifGVmWDujMkTxu3BsiyJ89azXgS/87k6//m3Wyys+G4OSFpj4poY0k4dIfClS9r5pUYGXWrCyH1umQ2kL+4q9bzHRjrL8dnp+aD/3PcutmQpNrIt7W8zZreW3Jvswkq99cmMcf56rM7n/PFBOUGX+eJOihUWX3EdWlqNhOsuj+j0Jc8f0oSxmFiRyitT6pNTyLeyry0QaUo/+9fH2rHHE2ATC9/YR5UrfER5tXMX/CiKmZrezNymC379wKHjH778imvWMzhArerh+ZXPb5y176xKcTUk6fdN3ZIJkMsJYMuSTClv7+G0uCml5g1jurvsews7np08D7jzx8Dy51+t8Qu/3eTsqnaoFeUqwYK9VSZNZNqUPCE/zld7koFFZqJalM9ficZzNhfnPUnlbGe5avDl2Lx84ss7kebWYdZUkPviLngT1kFozB+30lXmWZuOQXa7HCcpswthSYwbzuZ2vYbN0zH/7gfaLHckH7+9AZUYyuyaPU+ZPEYU36kkN8YaIEQ2zxBkKmHyysPSQSrbieUrwU6shjZtZRuFjmBWu8lTnu9/PoySsb+nyi9+60O/yw9+16bjzdrgxqo/uNY6AZUyz/kZvJjgatcx+aRros4rZ8rgHq8QlC/H3DJGVRIOnvb4xY9M8eS+StE4nCV0chZ3Y6EDQb71tl7H3uP38Y6jYhC/EpNbiztQj201LhhjayHHGby80W3OtGXGLr1frmYs3hPjzSTSTjC3XX9xivELbcy/6fUdkAAAMZ9JREFUL12E5YBuaspQrVgeesZjZVVlnQ7no9cxJs/fFCXuFdnFOs7mY4AV5RikuKBF+mSMVNIPMgZ6Q0N74DGIvdsffOzQr/+7f/UPx/7dMQYHqLU2IoSkPVhBa8MwrLmLVhRNwhmgx4uiSjKkXEg1lswp63CznslzHT4RVIpSE4OMUX7CoVMe/+F/tLjr8QpU5JhTcl7PWxTjj9fPGVyfuVyf4HmZDZQm3ZO/8s2dubxUdkxnFzXipjS6w1jHhm7gpc1rU1zjQdEB5IrmiueJkQhsWnXolIrIdilOxyaIYcwbrxvysz/a5qd/Y4rDZ3ynxzM05hnH9NEqYimKQNhkTkmhsV0duGt5c+aPW1mtsEXi0hbuSzboJyvMUqSBsszVFcPE0pjR7N27HUfI47d1AKf5bUilw8fu6ePHJ5hpSgKvpJ1Lne/lepFyI2xRKTgeXAoxDmgxJlEcoEX2XKVAL4FbyRjtGY6e8/iP/3OKT95RIxTazRNkPbgzaTK+7fZ6UI/XdkxsdZcRRxnQotCMZbBnBVd/ZaCPBZrlx9I2J9l7mQzJg9F0JwZEfhFkLoswIg16ZVp/nUoXYx24XBhLsSuPJcESaMv7vmVAYuCnf73FsUXhEDMJ7jSwxCgSIRiJtFkoCyDTCkGdZWgRrgJRZMB3CsFCWlrrbEBps26gorY4ayrRAnwt2LNV87Y3beHNb/mWMEkSfvGnvhHA1Sbq0/V/u3fPlZcdfqn3+ijqUfHdsl3eEiRn8BKwxy3BFMAlH1wKU7oAJrW3mXgs+9xZEZXh2KLmJ35tik/dWSOU6UyKdZrbJXRkytz5rsQpyMfHINv1zF0C7qTHXQb8pHNSvPhfrEspW4DjWB9zTCil69cBPU3hC1MEd+MuSwp0IRGG1FWRuQ8trEGkWc4sEI0T8Ij57rcM0Ap+8tdaHFv03XUwCfL8W2sMgtA4h9GXAmNs6jg6YFrhRryVZ81kQ4hs+dykK5XMt1Mp4iWLY/b5VpMNc5fePTu969/C2rpDKyffuGxPg7MHv9rZvrm6f35aJZ5nS/tNFltga52Mv1eeATg2cKesp8sNChm4kwnHZDKgdAVUUiecXpH8u18/D7jLtSYpuEUqSTJpks0XnNy8dR17l4BdAF68DNjHu3r+KsVWGZBFkVMqdfSUEA+lMQqiyHJOJIAKxs92axsf/+FKaIvHYjyzYny+SjrQM1HoBN77LQP+rx9ts3kmcl2+5Sxnmul09xiswVqIXQ6J0DjARza7u+xnlM9fEW7WSuJeZ6W5sYEocfc4cXNborQHM0lcqexgJJPBKNj/+S/c2RFiet3x1ec76ELAaNj90Xrt/9fel8fLUVznflXVy2x37tz9SrraxdUC2BJICIlNGIFxwMTBYGI/J3l5ecY29jPeX4izEPt54/1iG/vZZCPExs8OYQlhs1lss8jsOwjQ1YKuhPbl7rN1d1X+qKqu6p65F4nFwiT1+81vpnt6Znq6vz791TnfOSe7ol4ZWeo7ETyPw3OiGMx6kmhzbRBjzbX1jq24ZbVJmocTbll0DuPnNmrByAH+8dYCbrgrhzqzwd2YxBB7TahVODOetNlyU8taqKt9qox5fWwakxqSbix7/jUV5tPS8AYLntaHw+LkCeutLDhXFElAVo5NaciJmslR7RfnJjGNACCqVwkRAuAsdi8iAhxEuPCsMga2OvjmNS0IAcRp9VztMREmxKi+NRCy7J9LJE3hxFhzRmTmDoPcX6q4uJ5MR7ElVwWEqKmsRiHgMoJMNvvcyOjYJa3FlqbHmDZbuWz5u8CjMOrqmSuyGSCbCZH1A2T8EBkvhOfKh+uGcBPtQKJYIOXQlLyVGdcfI0k/t9GTaGCrSSYJQRkHcYC7H8ziurtzqMXJCmlQs9gdwZSf26ShJYGcjF424d62VwIkSVmsZdtTmKQoh2G67VVW5NJel+TegC6Sk1AcKi9F7EZMlHkjCQsfZwDFxZ1Mcyv92hZmaevuRQIXnVnGGasqIBG3hFlKvyJCo2Phod4RcAHUBVDjQE1Zc/0IOInFWwEnqEcEQURQj4C6KgdRC4msWhUClYCgUico14GAMyzsnyfqQRCd8ztrmx7mphYcAI4+diWisHLdFvFcP4mG854rASqrgAoLFMJYAXud9YgrLRGemmxKy81IlLLgIRiJQN0I1AFuW5fFF7/Xihdf9mX6DU0LqIyQSvPuuKcOsTN1jKCqgXM3BTeaTDAtYE9lrUljlafJgN5YzFTzbOUTS2fVQ1k6i383WnWjHY89KCCSvgkOwqlVnkHvsvQta9NHOEvsKIPAMfPq+NanR/AFCtzx65zk47Yl1xpvaD2BbJwiQBFABiQjQWLaqN2wDHaPIyFrtOj944Z76/PpBkBvb8fEiSeecF0+l5n08E5paw5s/0lWRGMvhcO3z6qHrkyJApQX3qrzbB0g/RzrHGLQc4uyKEqiQU2090TxcRKCOhzUBW55IIs/+34R61/OSLNMUzoTarQmIAQekdeAR0Uc2HFVWN7ucZnwfROrnByRkxedwRR38CKmKW7y2X5N1edly+440snSpdxMdJTa+8GEtWxnQxlJhJEhJ9WbWlKRjjnYGnsnESnWpTiaRYztuRCP4w9UdcegLsf6QReXfb+I2+7Pqdp2NmVM3VWhwsKqTIU2FA6BalZrnjWloNoPqACmA146jY3WQnzkv52yra01t+iyj59XmQzDk1pwAGjvWYxqZQgvbHMwt2sYUZRBxFkqq7vxkjEa6rQ158qjIj0sTPm7NbhjzwmLAIfglnUK3FsyMr6eUgYmHmoWnqQmqr43LA6OxihmOtwdB0dIip5o70hiQmlC1AmLP4UJmcyyC7sQPpJ8XJ/spGU273FFgY1lN+5DqHU62mm8Ksrlqbg4l3ntxlipBAMuWBzFJAAQAMfMCfC1T4xCCOD2dVn5JhPJnSFcnR+hegsqay6klycgQGABO3lHJPFXJfQ5nAPRBE5ZxLBy2Vy0tpamgvDUAIc7vbZ9W+VjT21Zev3sjl/kfbcGIWSXL6knpka+aZ2IOLtF6x4UoA3IZdxLuwMJtQHOAYfgjgezuOx7Rbyw1TfgJs2DOVDRRNNqW9/OTB6jSWhIhuKb6r1Ty/r9NOduoDFTgPrVRiOYUxw7Mck0FCZWFiYmn5bLUGWjS4oivUsQXAEecqJJuQK/EmcJqToElRNRQDoOIjX5BADUgWPnBPjm/xoFF8DPHsyqAxrCXJ4s9Q+FVFQpgySUdY4EQdT0sGn3aGQ9BFxSxx++d/HEnB58zMv31F4zwHfvCXhL8ZjHfucMdzQYejzvZw+AEA7GHfDIQxg5EJzGbqn0zjVace0bj1JUJZI8nHEIRvDzhzP4wpVFvLjVl0V6GsBtL8vIluTdsCz31BHLBj94Csx2FV2N2TQn129Yxjx+Iy2lnRLczSacGuQSkUZxqFPC9PvWwwDdjnpKoOuGUdqboi8ArlSPRMgIpz5vXF0cXEBqsYmIuXA86sCSOQH+76WjEILg7ocyUvTX4LrgEuyCSasOrl4TxA0z40NArItBqAlsAJfX4IoaBBjyxRIWLTl3dOmSOY/tPzjeGL48VID39nQB8Pa/8GLtgnVPnnbvdXeucwkB/mjtEC46vQYCICJM3QZTVhwAiD0h5caCk5RrUFlxwQh++biPz36riA3bvJTltj0lxnITW0iVyNDRgNU1EF9lYjnJBDJNT+Q6Ev/H9CQzEQFNbdMA7NRrG6xQFrupLjx2/YlYq2F84Pak02QEEcuqy7NCwamy5GoCSilUhBPS3cdj8TYIh3pfX01qx2sCS2YF+PZnRvDJELj3cQ1yYq7euGKU1sqqK1GafBUIsLbX2wrlqYnquPBdB/EHa8uoVIFM+7LAcycuoG5xv5MpTGk8pgQ4IT4efnoQ7W1LduSKdMvuA/sWbt6xH2cfNwFKA1DC5R1Hg1uQJt9hRPUkBrUAUXxb+8UFI7j7UR+f/ptWDAxOBW4TzAG1QvEK3JqasCZAT9ZQTEYxk5JU0gj8+P+Yi8CE5yc7fkmgNwW5aP6mseDJ856+EIQgMYBjFyG1O7NJXbux6oj94dqSQykOY+rCtbdF+Z255uTGxsYJ9hAg9RD9swL8v8+P4NJvAb94JCML01LFwzlTx8r29qvbCtElsOx/z1NXNce0jgjLF/oYmZiF7rnHb2npnLcjqm1ER6l/SoAzvMq4+JLPY8Pzj450FJ1nuorsj7tzW3HhGWV0FoUqhGR7QhQlofrZFlzpoj+Ka2vloCf7Kf7iMR+X/k0rBrZ7EK6y0okADoVu7xeH4qmpSqWz4x2rnkkcmo+ftWisUYOtvSlGDWh1r7DWJRV9utSYrnVi6nZo5aB+mAuHJKlQanKb4P80fbch1jbmjhIrDi1alSgEal2IRIVMDc1qMjmOtTZaAKI3Jebz9l2MAIiAzrYIK44O8NI2B1u3M5Md3/Tytmcd3HpE8irVNb0IAeBiopKBT/Jo7zoNdd57/rbBwWdnTO/EX3/lu1Pid+pJJoAT3tGHiYkycrnsrrZS9oF57QOnFP0qqsEI8tkJMBbKsGyoGpTGtxz7WNkTy8hwcV9g2wEHDz3t4fK/a8HAoAfhpWlI2nJraqJ1JnYYfuqi9XpSKZ8n6ZRmAaqZpU5w8tR5I5Osn3So45ScYBJ1C4ehJzYPhzXJVBY+piMk7Q83nhSiAi7Q3JsobwuUp0X7yan0kwsVALKrSCVsIrV0VqocMgk4Fs0O8N3PjuCv/p7jkad8bDvgyPxO/WeIpifU0O3EMVF9SvRclbmgfg77hrJ4aqCIE09a/MCiY07YVatWQbzsqx7iVwU4AOTzOWwZeGxTV0fhu5nFR51C6hvBeYA9wyE4OLKuQCkfgcCJa1rHJz3FvSU1EaAeMLDTxRVXF3DrrzPYN+w0glsXaU9YcYmyyXh3IhyPSYBua6yRfk7KYrW1MvhvLpu1UU7s4MChYl2Y55iWoFl4HmomqTGj66JY7sUGjwsUWLmizyKeYIIK5VbUYOYK8MrjosLwhEr9ipl4qtOjOkvolDZa41g4K8D3vjCCW3+dwRVXt2DjKwD8Zo5PbQmJWRYRiAjR1Rog63AEcDFcdRDUGObO7wdzc9+9b91jm9accsIhHddDAjgATJs2A8wtPVYt7L+5OjT9fT+5awh3PdyFKAAWL5jAVy8eASV2KgZR4OaxslDmeUrLvWmniy9f1YIb786iGlGZsNBguVMTS3UvNuBGYz3vqSy3ukU3uAmBBkveCPzUuQBpADZSbx0WxrU1i8FtnXP7/GuLrLPZ00AmUP7iZKttrVPRYX3b4xLzbH2bUtn0RCUcS5UhIEsxq39GGQiXUttEtg8BaMjR0x7hw+dU4HvAX3+/BZt3usqSA1Y4B3E95fjqFvBIiC9+eAhL5kUIAop/u7+MwYOrML9/0c39C+Y8tufA2CEf1kMGeLZlOkS0cdDtOvHSa+94mP3Dz+vvfWkLRRgIPLtjPy5YU8aKhbL9CWAml9S23lSAusDmHR4u/9sW3HhPDlWQqcGNJLh14rBtvdMVqZqKqYjhtI0qwqT1toMOSf+44p22hW/QqiQBPxVdiW2atsbETCINPTGUQ5doQNqqww7lG3k2BDH+cSiQQ8STUE1ZwAFCtZeFqguDx8tcUwohJbaxpdd0NI42IQa7qHL4DscFZ5QBIXD5VUVs2ekCbpMwl/KLgxCQSGDp4jref0qAno4cqlUPc7oy2DJMbp157MpLn9m6a9tJx05/4wEu9+MoXH/7w9tmzlj7/LK5v3wvLW/GnrKLmb0Efd0UtcBRtzEOikhNSCxw+wRbdzP81VUtuOHuHGpQMfFJLXdSREWI3OG4piAxYd5G692sSKXAVC7CBq+J2rDBi4LUcoKopxCO5stCmO9KuMHTvFxtp7eJAUskqJG6CBJePJX4YDMCIqwvU6UkNA8nFuhj9yGFdBdSHlvy+Mt0qo2tCVfvUwrwkCPrCHzgzApAgL/4XhGDux3LklvHi0gcCIdh++4cBndXEQUd2L0/g2LbAqxd/a7no+iBbaW5px4OZA8P4ACwrH8aZs/s++bB3VvmFZ2Ri3bsHcGFZwlknCLKVcicSRaCMkVJlHy2LiiefMbDVTfkcP3dOdTt8qrxg6SWtauQxjurExhsaqLrIU42wUwU9Wmw2inrbU8oLVhOxtmbQfmwuImmJcJ6jeRywlrbVp5Y1pukPGuJz5H4M4aaqOwfZb3TVIWDKr+3nJESotyHCtRECF0nVCYjCCqpEaFxcIhSIAoj+IzjorUVgAM/uCGPp17yZGc3RtSVQZTHzAVxGPbVsvjOTTn8/slZgPZgTmnJdYXOE785tH/n4cL11d2E6fHd730HK1etrnV3997Ba7tPm9sbzprbS0GJA1MDhceJCoyFqIDgR7fn8dGvteKJF30ETcE9ifVOURNPufziJAZqCn8mqsRabr9micSJ16o8Q+JiiLczZR50PqBxE2p3oBZlaYpD4m2Nm5DENKfpXYOaiytJnUjiNVVXG2242BRVohaNgnWxWhexTZ8S3iObViXWqR5o1r4g/m6RuuOlDYO8AB0Ai+eHOH9NDQdHCF7a5CDg+sAy6S1hHooexbQcgRu6KFd9OG7buhUnHH/hwIb140ctXHrYAKeH/QkA555zNvp6c+V3v/vd9a6OAsbLLsbLPmp1F1HEVPCKy6I8IPjnW/K47KoW7Bt1EFjS1obIJJTyLF4vr24Kw7sZ7BbbBqzNrLcGajrPsiGq2cQ3TWABIj5ZFmjilcljQ5qsPlS3oe1bSPsc7MJAsZUGaXjWxSvtZAlTMD8dCbU14Y3twnUGkHEZWt0k4mUaF/gUugC/kIX3E0U/uSwK1NkS4uuXjOEPz5tAnoYyXUflzTmUoOgKtGU4ch6H5xew5oyz6kOjtLxy1dpDO4ipcdgURY+unjkQgj/aN2fpqn3b788GYU26iwA4LILHQmzaS3HL/Vl8/Z9aMDzmqnwxdUuyrTfsdRphJvUsYbFjcIsmGu+U1oRar9HcH66tYjPLlgiQ6MmkTRvjdSl+/SqAbha9FM2oinYdE7NNA/1Aah2xuLilQdHvcx2CVJnpQoXutTZcCNNNjYPEUVCtYRGJSSiVVAXEXARqR4WmOer/aW0LEQLthQhfuXgUGVfg1vsK2LSfATSKzwtjAoW8h5NXH19Z1D/vUUpfkx1+fQBvbW1BvVb+0tLjVosnq1s+w6L9GceJ4Lshsn4dj26guPzqIu57JodayKT5tbzJDffBZoBXf1jrhu1ago1Cqske6a7Ljd4TpPm5gm/CXZgy2fbux2tVUMa+AJD8WCPYp7oQYCy3fcuQgDXcW2LKchnCBj8xgRo1V7G1LJLIq+APhSm4GYfy1Trdd03pV+xkZv0dqoKPTBJW0DZ3IZVKB9mPvpTj+OpHx3DW6hou/0eOR15wETIftYihUoswb+6C6mmnnPQdgP15Lpd/zQB/7ZcGAM/P8Zc3Pnh5R2fHFV1dHfVCtoxCbgKPbAC++LftuOvREmpRFnB96BJqyYDNVBNM1TIOSGZ/6PIPUHSEWtQESctt67zTOhSb36blsumbSQx2i6LEILdGYvkwJpqJFDUb2BY4EjUMLeRoagGLehi9irbkqcRjq6Z4DHau6Y2V2tbkc9KHbq+nSOQHKLAncwYkZYk4Q8gdhJGLet0HIx7OXB7iio8NYdWSIUTVMobLHF3T+upd3d1X/OyedZcXCnl+SAdxkvGaLbge09v31wXt+obD2+p79+DL/3C7Q2/6dRee3twC5Bw16+aI9byw99c2gzS5bHHrhHgKjVzbnlg2ymGT1tu8ttWBSACYatpiAdfeLo3gKfn2FEC36UdyWXMVC8ykGRVRWxJdjNVKUQMUB5HfpUswyIANiT+TJPtUJRwrAZTSQhnxlnYdkiRtIcTQFE7AKZVBP5j1moNprs45Ra1OQGscKxaGuPJTo/jX++q45dG5vK27+8uFtmnf2rBrqP568XkYdmbysXXTtehuyxx9x7qdz/zRnz/JqmEeXkYWFg85EHAle+R1BXSdHqLTmKyJJrXa+1FVLJPokmtCCaqstDOSSjcjykFDhPU65TXRAKdAo+eENJZPs70nTT9v3o89KbpUm7Vei7aIvV80tW/xs0jttzBzilS7mNjHn9gu1QfJ3obqzCrTpcPuT5osqZfqME0aS4HIMtdRoq4N0TJoFfCTF7AsTxFFDGHkIowccC6z6XPZOsrVCta9/HvR7vGF7/TZxPqLP/j+143N123BAaAqFiPb3rIR2RmXfOC9bVfdfe/j1KdSs1COCEYChmpgmaEkqVRgtyagalHybp2YOpmfu5FjxxFMC9wkAfRJXHUpqy4fMSNPak9I0pgnqUtz6z7lsCeWJGnd7cCO5PoEIMmUNcPJVQBIc3WoiSWV6+KUNS6PBdeTB9X/klBiIpxa7UqICetDRjdlppCy2iRJURrvRMIscyDiDPXAQ7Xmox46iCJgdIKje8ZZ/IyVR1/y/I5FG3uLu94IaL4xAF901HLc+8Sm+vvPXHX1+udezq1a2PbtV3bsQQQH4zWCIKKoCQERqTIDtposAScDCYpkkXrSFNxTh97TnDx2CaIZZUlOOu15cMLv2wDaplPKJu+/Or71M5lsA5Lk6JKeSB91zNE5ZNfj+AKQILOz8WXgBnFYnVClX1HABwBCKAQX4FQHeoRqCGXnhdptVUhiQgk7k4sKUHAQKi16GHkIQgfj5Qwmqh4qFYF8sQfOWNvn5s0+4+rlufVRrnXFGwHNNwbgALDm+AXY9squ6JN/fM7mhx6ZNnbjzXe17Nw7As9hGA84SDABiHEEkcBoqLTegjYiRgEqDr3D4tho4iGxgzvNhFYpTp4QU8G2yiRxiWm7bfh5Yx/6BPjfjKGsuf6JOGyvwUwQCws12AWEcf9RYrXENpFLUGEV1RfKwiMZ0o+LaibD9skycE0ml0R7LvSdWKYoOizCeAgEXIDzGqr1VgyNZTE85oCTEqb3rx2bsWDp5rGRvVGxdMwbdgjfMIADQEshi9Gx8q0nrVr+CQL+nVtu/0X7nn1jmD+rhpOXHkQhO45t+wV+cFMRg3vUDIY0BlO1cZERQWEBd4puaKnn5pNN0vg+bfxss3A+0pE80szSvvZemQRomHTqn9XheaJoh77dawoCYqW3QYEasiYgpSYopNT6hrJoV6CiKITEXUWMBJcrWgIKQbiZWIJY89Mm1RWsP+A6EbbtJfj+TUVs3ZeH73k4bUkBBdcDdUtYeMyag3PmL/t0pTxxq5957S7BZuMNBXhbqQQAGB4evXbNqSc5YSS++dTjD3bN6z2I1e8sYlp3HcIZxchoGV+7JmN+PeXnNcEZC9BoAlpqe090A9qkepAcArhjjXcKcmTSpSaDHOK69GjGSSbhKbGltiS0sQDL2gZQ7myLcmirHQv+dEkIRVEkDwcY1Z9Rv0ahsu25VQ5OWnHKadx7B9pb0mRQT+DH92Txg+s7UEUbZrQ7CEeB1Us7cPqak/YtXLLyf4dheG1bx7TXhb9m4w0FuB6lUhFjY6PXrD19FWV86OvDex7p2jecQbHgIwTD4B5m3Aj6tGhSqQaBBXJMrRRs4OUpz8mhgru5/iNtyZMj8V563nwIxypt+IygStGN1MY2yBX7VqCVvDd+HQeBVPNYnaCgtqOQ/SwhhYIqyCMde6DETDLVA4qWUGK5B3XJEEGm+FcEiChm93AUi4AIGLoKMmOoa1r/vgWLVl0WhPyaQqH4ZkDx9QV6photLUU88si6q3P5/Be7u7sPZr0aCrkKfr3ewS0PFwHPQ6wDThwUEe9Y04kkFUl3n01V0u69Btdec3A3oyWJ4E/iyrNaCb6ZBFxYT1obnj5SdjAHMLQhDu4YLYpuxBova581J5ZWxQSBZJ9NKwDEVUXaxPYmMCQPjYifCdEeHIZ6zcM5J0RYdfQY6tU6xqoC06ZNP5jPF774q1/de3WhUDi0Y/IaxmGrCQ9n/PCHP8ZnP3nes20lf3vGHzvr727Z7//wni5s2dsOOJ4yRRFiu6T84Q4l8FVCsavUgi6FVbrMLqWWEl7R1wvu5hadAirUTZpaesnPk4pB2mTdVEnHkz3SHp04CcaaKdsT4Hh7a4aaEBAkbjck8WR/WbyFOiBUJTJrtx9J9ENN+cZVDm7EHdQCDy5z0dcdoKM4AZJdONY/Z9YnqtXw///Bh86fSq3wusebQlHssWDmTp7rpdf96ld94T0vtP3wuY27MjOKHkbqAuMTAUhQh2AEcAQgdIcBoihKY7QyWaEqXRr5UMAtAy7AIYLbOtuHa68ndflZ4/C/U/qyk8HOZLMqqAklAUBldrGSmMiJJyA7KnDtQrQEWNKPqHmL+t+q6WsEmcwSe084gaDJfyC7c4RwnQDM4ajVKEZHiqjWfPTPKGPJH/RVb3607X/e/HDhxv7po68rDH8o4028x5rxwctuwBjpYD3Y/r76yK4fbx8czIxGwGnH7cLC6SO48t9a8OL2AuDkAScDl1G0MCDHOHxHyLZ/TMBhOoppFafUgD5Ey02bWugm4AaM1wRoarXtMg4yammXh2gW2Zwikmlb9FQ0M7byej+oSF2E+nW6BLSJhmoLHAfC9MRcRzvjKKf92rSoMcU6VdMDFsF1OBwnhOuE8JwArhvAc2vwvQo2viLw3X8rYl6vi1OOLmF0vAXTpk2vzprV+uH22e7NGAkjUvrkm469N5Wi6PH8un/FxRedLXaPz3np5MXRhpk9mXOOnTnqvu/kAKevKKOQqeKBxzOoCg9gDhxKkWFC0hQmHzG4Vcjers5q1zaxExeS75Mk8O0wO2lMILDBnVQVTkFRoNc1oyWTUxTSBNzpJrTpiy/+XbV/+oXm7EkagtSGEvHC+hzUxNZ8tsmnYmqnm+Sa5mO6s4frhqjyOr5yTRt+dEcfBve0oTyWR6l9QdnPz/yjJcf13LjhGfCuOX/ym4Dem09R9Pj8Jz+IG2+4XhTY2PXd7X1OUMFVI2P11rA+ikJmIi4xrQ9kXNebJpu0mrLCSevHaBK8NmAaAEzsk5UEiwZGAzSa3OsIzORP46lBQAUc0m1SADF1AomhOsm2JnqpKLHWVMW/JvvSq/8ojNWOhKJoRPV+J5A+cR2tpETW3ondDwQwnnV1LChIpANIljdF7RcXBKMVBw510Zlj6OiYMeLnej5+3W3rrx+vHI/zfvdDvynY/eYADgDvv+BC3Pbv12HejPxPx8v9bmex/Vt7Ru/uuPepCBOhD00sKQzfdlRdb4fqNoYw1pvY1hkNWfOTdgqeBNjxCUfCKE4K0KaBmfT6KRBur57sApps2FHNWMNifUZYwNb/TXBJR7h6n6bablNKGnrEa005BBDGvbalFoVyIXv5aE24vEyRowynHDOOV/Z5WHvyigNHz85+NuTspyetWIzzfvf3fpOQ+80CHADO/d2L1Ana9yPAcf79rsI3Hlz/YJfjj8EPQ9QjF8RR4LZ4t+zPaTwotpKPNgX2ZB6LdGEfy+1njzTQ00NHWCxICaE9FKkY+2QjcddofK03Iant412wQQ7z2k4OImpSmvT2iPi1UPPJWOeSfgYgiEwoZuobBXj8HYzyeJLqORxhFGGiksP5a9px0qmr9xW73vunQgQ/6p/55vi5X238RiaZk43B3RUQkD+585frvr5ty61d+4c34V/u70YtakVvhqPgcWRdwHMk0JNW21CPtPXW3YdJE2DbqWqkCcCmOlL6Jgxif7dJeUtLZRuXEXeMSHt9GieejaXlDAcXTfev2eJkk86GCSy1JBG2hNaeiGrPlequ57kRMl6IbKaOYq4MjhH86B4Gny3Eh85/z75pc065DBBXE3JkwA0cAQtuj9m9WYyPla/+/XNXhMFY8O0nnv7XtpseEQgnZBPSjAK35xg+nu44nPBCpDwoDRbbWoYFdA0EPYTQ+mVrZ+PwuGLAceBVKEVfmiJA6UZI0xzM9GiYL8JY7+SjEdwCklKI9PcRJGkKIWafuVUmgwoQ1SFZW3K9I4LKYjycSEpDCGSSMZd6FEJkDi4XFNWA4IWdC3HaCe8faulY8YV6zfmhn/GPJMSOLMABoNCSgxD1a6PsyoMTYuP8s0/OX/Hzu590M0wg6xH4DsCY6WujGYDt2Uh4RBLekUZXIE14PAwQkkNrmkVzkKeAG8/vElruQ5teNvWOaP10g/VOyhm0uErz74Zop1o2x0J+r4jdmyJOUk6UrQCgq2hR67Il6oqhBAgjAYdLXk8QwncpemedGZx3ev6Lq1Yu2xzCv70lc8ThdWQpij3ueWQA06d3ec8+M/Dfn31u4AdPPfk0obxCXYfGt3bNMTk3wDN+cONnbij/oE+w0mI0lBtW+5DsIIy4HBrQaB0bXX7Nfd6aqrCYnpDGSXKTbJ7kXMICvTUSJSOESUGzgd7ghiTGo2L+h1WNIHbBmkwg/Vs6Z5MofzlTZbFLRcbnLlgiOroXXFLo7P/nsLyv7ubfeaQhBeAtYMH1WLuyHw8/9kL96Hnd19Kwdm+LW7nw4IG9/2dw+04QQuE6EjRRBNRDaUEAQzsYTYPbaLZpUzDatETa4Li6k6Yo6l07c4bAdsnpSZee4KlQdoPxnsSaWxNZA0JhLkZ7HdI0Kt7tVL0T03hKf7lJa5PLRHlLCNHzZFk2gqosHXufQKRYNuQEtYAijIjsWOdwBIFAsTQdbr7zL3PFedcTb9b2kQND9VLnWwPc1iF+a42f/PQmEKeNUb73Lze+vPtLAxsHmeeEyGYcVGsCB0YCBKG0eK5DVCCIyE521uRR/0E7Rc3kXJKEhReqfjbnQj1ku464kI6FGHPyU9TImkwyOyeTJtsI2q0DbesdV+BKWHQlPrPmDQBSQippXSNulm36ZKK4SaFaoioVjIVnTMB15MNzZDSzHlDsG3ZQrhL4Lkd7iaG1rS8iXu9XT10x/cvPD+yPVp963pGGTsN4SwIcAG677Race+552L13/1fvu2/d5zYNPO9n3TEMTVRwx8Mcrb5AzgMyPoXvEniOAXg8LMMZU4YUELWlFwKIhACPBMJINkSNIgP0qSgKU1bR9pSw2FuiKApL9slkLBltNcEru19nY/dl2zRzIRsLh5zI3u2RfOYWTSH2xaO+0+5ZZB8qrZR1mIDnCmR8jqwfIZcJkc9WcMv9GUxUc5g/qw0rV7yj9o6lq/4m39LxpZ//7Dac/Z5zjzRkmo63DEVJj3PPPQ9Dw6NwmPjS2WedTncdPW/V1pduo3tGJ1ZtuaXqHNXpw3fkhMhhBK5L4DCtV5YANfmFlktRW1O1LVXIEQBoJBAIDsJNTe2IC92aJh4ExvsAFd+jwuQ1Gv5Opqxy1TCRtHXuVla95szxZ4C4sqywqsJyLiuhRZH5Dar83ELJHYgq+MPi75Gf1ReGZC+qIRWXXDzr19HTvhcTYm4YkeJDa951Dp8/f+5D1QBfqlXH4Gda8FYdb1mAA0BbKfafXrZh/T9hxcoZLU+82PX3q5cNfWB4724ahmUwJi141mdwXSn7r4ccos4RqfIUxnctAc0YgcOosbIqrSuiUpUXRpKqhMqKN07aJO+mHLEqz5QwM+BOjEki70n+bVEJy1+dKGSktodOKyNG9x2EQK0uL0qo9/TdAtbvUOu/AFKxXA8IglAue658z3cJhAjh+y6c3DH85NULbxg8ULr4wfUbxpYufevw7KnGW5aiNBtPPvcyCvls54bNOy791QOPHyPqI+/b9coWdLZlUCr6yPryL42XIxwYCVCvS2mnBDSRfN2hcBwK16FwHXnyHdUELIyAiSrHyFiI8XKIWmDuAkDaE2HuCpJuWPSDkrh9t33HYEwWmGSqaK4OXskIrdHbUKYKHTERW/NmvFlz8FqdYHSCYnhM7n8UiXju4TACx5F3OM8BXEcFzhwZHSYEqAUE+4eBsYkIhBBkMhQtWYFSvo7+/pmY0evf3DPz+Ocz+ZlXRmFlf6541JGGwiGPt7QFT4/jjp0LAPs3b9n2FyuXXjj7ufUvYcvm3vft2rEJGTaOzhJQLHA8ukFg9xBHRp9QBUIQCTyHEXiutFSuA7iu0rgQgYxPsH9IYLTMY3Cnpawi9shYuo04m0VNQoVt+TUizX9JaGCsCyeOIjIrchjTFRNVjJcJkPEIqnWGg6MClWoIwADbc6gUShGi5A9ydxwqebbncrQVOQ6Mhti0gyLvcRRyQK6vHfMWLsOsefNuntZ31KdrlYlBP9d3pCFw2OO3CuB6zJ83C3v37h9c9o4lX+go5a+Nli68dOzAwKkefwJZbyuue7gNW/cW0NcmkMtIqwiHxO5Bac0B3wMynkDG48j6HLlMiLbiBJ7YwvDKARctvoDrQlpdi8oIBTRdpgFQtcAT/nOrXLE9223mGoRIXETGmuvKU/L3mKXZZlTAYRyuy5HPBhiqhHhkII/uvEDWJ8h4BL6nigAReVeJmInAMibgexyFXIjejjKGKiO45u4cFkzrwokrl2Dl8sX3l1rzV06fOfvZMAwH2zpnHunT/prGbyXAAaC7uxMANgkhNgF4fvNLtWnd3b1/9+RzTy14csM2RuscE1UB16GIXCNHdSiB40jr7bsCOZ8jn43QkgvQVqxizvS9qKGA3WOdIODIQ0A4ErBMqGx15T9mVOeTK8stoFrqkUSJ42bBF5Am3NtyEWpwyyQDqxybek9rQXKZEJ2lcXg7yxjY5SHsctGRFyhwEav8KOXyouYsFmg5DPBdjqwXwHNqWH0M8Kk/fGdU6jxhU2c2+OgJJ6zcBWAgXRr6t2381gJcD3UCBoR4ZSDi0bvzpeyMK//87Bv+5eZ7i0N7tufL1QlkPFnVRvNxzUN9T7rBCtkQxUINHaVxjFUrODCaRyUC6iFROhghGzFpjwWMtdb+NU0xROxVsaKiIEkrjmR4Pql2FJKDK3A7McBNYEvnQkoLLjNqOksVZPNl7Bprg6NqAsoAmFCqTOnX5uqOQimH5wbwMzm0tPdN9M5eO/qejtoFNbd/B6Vs8Lcd2Hr81gNcD0L6IIQYXP7OWdv3Hpw4OudFJxLO/+GZ9QPh9sFN7ZXx4RY54VNBDJcYkGcCFHI1tBfH8dNfEjw/kANzVL1t6zd0MEgAcdVVKE5LierV1Iyi2IVM0Bg2b5T0Igam6/CYg6f1JvoC4YLg+P4I564cxo/vKqLoUfhOJIVqrkAQctC6VGRy4YAShlyhY2zOUbMPdvYc5TBGPuIX5j28cFHriODgjL09wA3gzSsbcSSGSg3jtfLI0OL50+9sby/2X3HldfMv/h8f+uqJK1es7+7uerqzvVhtK2ZkCi2J4Lkhsn6AUqGKfcNVXHtPASNhBhlHGJqgeLsUGQHVunzUQoEgggkGpShJstVf0lNo54qmgS4lqRLcnsuR9UNk/RAek9rrMKSIIopIlXWoBw4c6uPDZ06gvX0c+8sEEzWgVucIw0gCnPnwM4VqR0fX04uPOW79SWs+8NVtL/5kvpcp9nu5WXeOjVWHKCFvK3ADbyMLbo9ZM2cAkkmUt7w8CMdxrmCMXXH8ssWstZj/AQ8r/du3bz8ZwU6W8UeQy4TIZYZw4zpg444SWjwHOZfLfFAKeC5BzpdgGioLjFYJfCaQF3IC6DAC1/p9AQl4WNWjBDd83VTlEnEvLntoPu46HBkvRC4TwHVCjJV9HBj1ZM2SDOA4DEHEUKs7qFSzmN9bxznL9+Pq2z105jPopAStrTksXjAjmjlz5rqWltxAvVa+hFIeuV4Gy8/6vmjvmlk+0ufrzRxvS4DbY97c2YAxnuHw8OjFjuO1zZ5/4GtbXrzHQ7Ap6uzyj6tw9/ifPVXF8ISLWcUasoyqvFAC3yVozTO0tTL0HzWMGx8kGBnLoqcgs/25ElBr4AJaF2IFXIQRY+nQueMoHzwxkVPV5giUAC6T1rutWMZIpYy7Hm9HhlK0FxkYFfA9giAgKIOBRx662jycfyrBwP4uiLD4RFu2/OTiRXPYReefVe/p7vyzarU21FI8cskHR2K87QGeHiUZHR0C8HEA4GM3gTjk1IGXq2ctX+Zc8I7++kIWlfHQkxvhkQBhUEW9HsJ1fcyZxnD68hqq0TiuuXM6KgFDwRexVZZ+Z4KIy2gqV6VeKBXgzOSSSVel5MeuI6u71urycwDgOZImUCaQ8UL47gTuuB/48T05rFkc4KiZEYr5EAQRCM3A831kWk8Aa6U4sQcbPu503rBxT+ddDuX3f+6P1+BznzrSR/3Ijf90AE8P2nI+ANz/yu6h+y/5fTzAw2D+jj0H+VMb9vBj5rbNndbT8ae7dm7HvL4sOlv2IAgCvGf5Qfz0jiIqQTHWhBAiqUypxcF4lWPbvhAZByhkqeTTqo6OFli5DpBRfuiMG+KlQQ+jEy5KLYDvIlY0MhagHo7hpvuKqNRCuF4LZs6eib6eKvpm9KIyceAbHnvl5d7Zp1Av20EZY5t/by3u9DJdR/rQviXGf3qA69HX2wYAd+rlzYN7kcn4pZcHdz70zLMO+rq8oH/uUZ/pLC07sz0YxaUfKeAX9z2PHEZlYCVDUCp6mNYh0FHag20HA+zalcP0dgJKZP9ISh3kfQamtOOUhCgVyti2bwT3Pd2KWV1taC1m4XkRmCObNVE3h7a+d+EjHyygVm/B9FZyd1dr8O2ujprb27cI+eL0+6OwNuxk3vjKrG+H8V8An2TMn90NAMMAbgGA8dFdAPCSw2o92Sjga04mePa5rRCVMjyXwnUJokgEJ6xYdvm09h3njtBa8MLGAqaXCDK+pBz5LEN7kaGQk1OCrM/R2zmBHdUyps/pcI9dULpt/MALlzuu41JGwUFBnCxypRNxxuoswsijeZ/uEcDL82b/F6APZby9fEJHeAxuehAQpKfgbm791XM18eLmHHqLBJ5LEHGBXNZBewtFLivph+8KdLeX8cTmGp7b3EFWH9szwoXY854zTz7Sf+VtM/4Dd1/7GBF3AAwAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMTc6MjM6NTkrMDA6MDDNv4vCAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDE3OjIzOjU5KzAwOjAwvOIzfgAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 16206336
    {'hecke_orbit_code': 4503599660925657, 'n': 1, 'trace_an': 6}
  • id: 16206337
    {'hecke_orbit_code': 4503599660925657, 'n': 2, 'trace_an': -3}
  • id: 16206338
    {'hecke_orbit_code': 4503599660925657, 'n': 3, 'trace_an': 0}
  • id: 16206339
    {'hecke_orbit_code': 4503599660925657, 'n': 4, 'trace_an': 9}
  • id: 16206340
    {'hecke_orbit_code': 4503599660925657, 'n': 5, 'trace_an': 3}
  • id: 16206341
    {'hecke_orbit_code': 4503599660925657, 'n': 6, 'trace_an': 0}
  • id: 16206342
    {'hecke_orbit_code': 4503599660925657, 'n': 7, 'trace_an': 6}
  • id: 16206343
    {'hecke_orbit_code': 4503599660925657, 'n': 8, 'trace_an': -6}
  • id: 16206344
    {'hecke_orbit_code': 4503599660925657, 'n': 9, 'trace_an': 0}
  • id: 16206345
    {'hecke_orbit_code': 4503599660925657, 'n': 10, 'trace_an': 6}
  • id: 16206346
    {'hecke_orbit_code': 4503599660925657, 'n': 11, 'trace_an': 6}
  • id: 16206347
    {'hecke_orbit_code': 4503599660925657, 'n': 12, 'trace_an': 0}
  • id: 16206348
    {'hecke_orbit_code': 4503599660925657, 'n': 13, 'trace_an': 6}
  • id: 16206349
    {'hecke_orbit_code': 4503599660925657, 'n': 14, 'trace_an': -24}
  • id: 16206350
    {'hecke_orbit_code': 4503599660925657, 'n': 15, 'trace_an': 0}
  • id: 16206351
    {'hecke_orbit_code': 4503599660925657, 'n': 16, 'trace_an': 15}
  • id: 16206352
    {'hecke_orbit_code': 4503599660925657, 'n': 17, 'trace_an': 9}
  • id: 16206353
    {'hecke_orbit_code': 4503599660925657, 'n': 18, 'trace_an': 0}
  • id: 16206354
    {'hecke_orbit_code': 4503599660925657, 'n': 19, 'trace_an': 12}
  • id: 16206355
    {'hecke_orbit_code': 4503599660925657, 'n': 20, 'trace_an': 21}
  • id: 16206356
    {'hecke_orbit_code': 4503599660925657, 'n': 21, 'trace_an': 0}
  • id: 16206357
    {'hecke_orbit_code': 4503599660925657, 'n': 22, 'trace_an': 3}
  • id: 16206358
    {'hecke_orbit_code': 4503599660925657, 'n': 23, 'trace_an': 12}
  • id: 16206359
    {'hecke_orbit_code': 4503599660925657, 'n': 24, 'trace_an': 0}
  • id: 16206360
    {'hecke_orbit_code': 4503599660925657, 'n': 25, 'trace_an': 9}
  • id: 16206361
    {'hecke_orbit_code': 4503599660925657, 'n': 26, 'trace_an': -24}
  • id: 16206362
    {'hecke_orbit_code': 4503599660925657, 'n': 27, 'trace_an': 0}
  • id: 16206363
    {'hecke_orbit_code': 4503599660925657, 'n': 28, 'trace_an': 3}
  • id: 16206364
    {'hecke_orbit_code': 4503599660925657, 'n': 29, 'trace_an': -21}
  • id: 16206365
    {'hecke_orbit_code': 4503599660925657, 'n': 30, 'trace_an': 0}
  • id: 16206366
    {'hecke_orbit_code': 4503599660925657, 'n': 31, 'trace_an': 15}
  • id: 16206367
    {'hecke_orbit_code': 4503599660925657, 'n': 32, 'trace_an': 0}
  • id: 16206368
    {'hecke_orbit_code': 4503599660925657, 'n': 33, 'trace_an': 0}
  • id: 16206369
    {'hecke_orbit_code': 4503599660925657, 'n': 34, 'trace_an': 0}
  • id: 16206370
    {'hecke_orbit_code': 4503599660925657, 'n': 35, 'trace_an': -30}
  • id: 16206371
    {'hecke_orbit_code': 4503599660925657, 'n': 36, 'trace_an': 0}
  • id: 16206372
    {'hecke_orbit_code': 4503599660925657, 'n': 37, 'trace_an': 3}
  • id: 16206373
    {'hecke_orbit_code': 4503599660925657, 'n': 38, 'trace_an': -15}
  • id: 16206374
    {'hecke_orbit_code': 4503599660925657, 'n': 39, 'trace_an': 0}
  • id: 16206375
    {'hecke_orbit_code': 4503599660925657, 'n': 40, 'trace_an': 3}
  • id: 16206376
    {'hecke_orbit_code': 4503599660925657, 'n': 41, 'trace_an': 12}
  • id: 16206377
    {'hecke_orbit_code': 4503599660925657, 'n': 42, 'trace_an': 0}
  • id: 16206378
    {'hecke_orbit_code': 4503599660925657, 'n': 43, 'trace_an': 6}
  • id: 16206379
    {'hecke_orbit_code': 4503599660925657, 'n': 44, 'trace_an': 33}
  • id: 16206380
    {'hecke_orbit_code': 4503599660925657, 'n': 45, 'trace_an': 0}
  • id: 16206381
    {'hecke_orbit_code': 4503599660925657, 'n': 46, 'trace_an': -3}
  • id: 16206382
    {'hecke_orbit_code': 4503599660925657, 'n': 47, 'trace_an': 15}
  • id: 16206383
    {'hecke_orbit_code': 4503599660925657, 'n': 48, 'trace_an': 0}
  • id: 16206384
    {'hecke_orbit_code': 4503599660925657, 'n': 49, 'trace_an': 12}
  • id: 16206385
    {'hecke_orbit_code': 4503599660925657, 'n': 50, 'trace_an': 24}
  • id: 16206386
    {'hecke_orbit_code': 4503599660925657, 'n': 51, 'trace_an': 0}
  • id: 16206387
    {'hecke_orbit_code': 4503599660925657, 'n': 52, 'trace_an': 3}
  • id: 16206388
    {'hecke_orbit_code': 4503599660925657, 'n': 53, 'trace_an': 9}
  • id: 16206389
    {'hecke_orbit_code': 4503599660925657, 'n': 54, 'trace_an': 0}
  • id: 16206390
    {'hecke_orbit_code': 4503599660925657, 'n': 55, 'trace_an': 15}
  • id: 16206391
    {'hecke_orbit_code': 4503599660925657, 'n': 56, 'trace_an': -12}
  • id: 16206392
    {'hecke_orbit_code': 4503599660925657, 'n': 57, 'trace_an': 0}
  • id: 16206393
    {'hecke_orbit_code': 4503599660925657, 'n': 58, 'trace_an': -15}
  • id: 16206394
    {'hecke_orbit_code': 4503599660925657, 'n': 59, 'trace_an': -6}
  • id: 16206395
    {'hecke_orbit_code': 4503599660925657, 'n': 60, 'trace_an': 0}
  • id: 16206396
    {'hecke_orbit_code': 4503599660925657, 'n': 61, 'trace_an': 24}
  • id: 16206397
    {'hecke_orbit_code': 4503599660925657, 'n': 62, 'trace_an': 30}
  • id: 16206398
    {'hecke_orbit_code': 4503599660925657, 'n': 63, 'trace_an': 0}
  • id: 16206399
    {'hecke_orbit_code': 4503599660925657, 'n': 64, 'trace_an': 6}
  • id: 16206400
    {'hecke_orbit_code': 4503599660925657, 'n': 65, 'trace_an': 15}
  • id: 16206401
    {'hecke_orbit_code': 4503599660925657, 'n': 66, 'trace_an': 0}
  • id: 16206402
    {'hecke_orbit_code': 4503599660925657, 'n': 67, 'trace_an': 15}
  • id: 16206403
    {'hecke_orbit_code': 4503599660925657, 'n': 68, 'trace_an': -36}
  • id: 16206404
    {'hecke_orbit_code': 4503599660925657, 'n': 69, 'trace_an': 0}
  • id: 16206405
    {'hecke_orbit_code': 4503599660925657, 'n': 70, 'trace_an': -15}
  • id: 16206406
    {'hecke_orbit_code': 4503599660925657, 'n': 71, 'trace_an': 0}
  • id: 16206407
    {'hecke_orbit_code': 4503599660925657, 'n': 72, 'trace_an': 0}
  • id: 16206408
    {'hecke_orbit_code': 4503599660925657, 'n': 73, 'trace_an': 12}
  • id: 16206409
    {'hecke_orbit_code': 4503599660925657, 'n': 74, 'trace_an': -24}
  • id: 16206410
    {'hecke_orbit_code': 4503599660925657, 'n': 75, 'trace_an': 0}
  • id: 16206411
    {'hecke_orbit_code': 4503599660925657, 'n': 76, 'trace_an': 9}
  • id: 16206412
    {'hecke_orbit_code': 4503599660925657, 'n': 77, 'trace_an': -15}
  • id: 16206413
    {'hecke_orbit_code': 4503599660925657, 'n': 78, 'trace_an': 0}
  • id: 16206414
    {'hecke_orbit_code': 4503599660925657, 'n': 79, 'trace_an': 24}
  • id: 16206415
    {'hecke_orbit_code': 4503599660925657, 'n': 80, 'trace_an': 21}
  • id: 16206416
    {'hecke_orbit_code': 4503599660925657, 'n': 81, 'trace_an': 0}
  • id: 16206417
    {'hecke_orbit_code': 4503599660925657, 'n': 82, 'trace_an': -21}
  • id: 16206418
    {'hecke_orbit_code': 4503599660925657, 'n': 83, 'trace_an': 6}
  • id: 16206419
    {'hecke_orbit_code': 4503599660925657, 'n': 84, 'trace_an': 0}
  • id: 16206420
    {'hecke_orbit_code': 4503599660925657, 'n': 85, 'trace_an': -18}
  • id: 16206421
    {'hecke_orbit_code': 4503599660925657, 'n': 86, 'trace_an': 30}
  • id: 16206422
    {'hecke_orbit_code': 4503599660925657, 'n': 87, 'trace_an': 0}
  • id: 16206423
    {'hecke_orbit_code': 4503599660925657, 'n': 88, 'trace_an': -21}
  • id: 16206424
    {'hecke_orbit_code': 4503599660925657, 'n': 89, 'trace_an': 9}
  • id: 16206425
    {'hecke_orbit_code': 4503599660925657, 'n': 90, 'trace_an': 0}
  • id: 16206426
    {'hecke_orbit_code': 4503599660925657, 'n': 91, 'trace_an': 18}
  • id: 16206427
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  • id: 16206428
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  • id: 16206429
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  • id: 16206430
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  • id: 16206431
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  • id: 16206432
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  • id: 16206433
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  • id: 16206434
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  • id: 16206435
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  • id: 16206436
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  • id: 16206437
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  • id: 16206438
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  • id: 16206439
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  • id: 16206440
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  • id: 16206441
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  • id: 16206442
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  • id: 16206443
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  • id: 16206444
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  • id: 16206445
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  • id: 16206446
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  • id: 16206447
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  • id: 16206448
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  • id: 16206449
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  • id: 16206450
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  • id: 16206451
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  • id: 16206452
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  • id: 16206453
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  • id: 16206454
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  • id: 16206455
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  • id: 16206456
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  • id: 16206457
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  • id: 16206458
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  • id: 16206459
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  • id: 16206460
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  • id: 16206461
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  • id: 16206462
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  • id: 16206463
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  • id: 16206464
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  • id: 16206465
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  • id: 16206466
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  • id: 16206467
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  • id: 16206468
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  • id: 16206469
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  • id: 16206470
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  • id: 16206471
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  • id: 16206472
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  • id: 16206473
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  • id: 16206474
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  • id: 16206475
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  • id: 16206476
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  • id: 16206477
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  • id: 16206478
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  • id: 16206479
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  • id: 16206480
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  • id: 16206481
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  • id: 16206482
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  • id: 16206483
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  • id: 16206484
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  • id: 16206485
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  • id: 16206486
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  • id: 16206487
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  • id: 16206488
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  • id: 16206489
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  • id: 16206490
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  • id: 16206491
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  • id: 16206492
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  • id: 16206493
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  • id: 16206494
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  • id: 16206495
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  • id: 16206496
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  • id: 16206497
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  • id: 16206498
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  • id: 16206499
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  • id: 16206500
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  • id: 16206501
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  • id: 16206502
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  • id: 16206503
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  • id: 16206504
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  • id: 16206505
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  • id: 16206506
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  • id: 16206507
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  • id: 16206508
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  • id: 16206509
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  • id: 16206510
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  • id: 16206511
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  • id: 16206512
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  • id: 16206513
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  • id: 16206514
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  • id: 16206515
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  • id: 16206516
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  • id: 16206517
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  • id: 16206518
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  • id: 16206519
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  • id: 16206520
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  • id: 16206521
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  • id: 16206522
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  • id: 16206523
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  • id: 16206524
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  • id: 16206525
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  • id: 16206526
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  • id: 16206527
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  • id: 16206528
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  • id: 16206529
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  • id: 16206530
    {'hecke_orbit_code': 4503599660925657, 'n': 599, 'trace_an': -15}
  • id: 16206531
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  • id: 16206532
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  • id: 16206533
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  • id: 16206534
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  • id: 16206535
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  • id: 16206536
    {'hecke_orbit_code': 4503599660925657, 'n': 625, 'trace_an': -84}
  • id: 16206537
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  • id: 16206538
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  • id: 16206539
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  • id: 16206540
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  • id: 16206541
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  • id: 16206542
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  • id: 16206543
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  • id: 16206544
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  • id: 16206545
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  • id: 16206546
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  • id: 16206547
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  • id: 16206548
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  • id: 16206549
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  • id: 16206550
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  • id: 16206551
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  • id: 16206552
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  • id: 16206553
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  • id: 16206554
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  • id: 16206555
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  • id: 16206556
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  • id: 16206557
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  • id: 16206558
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  • id: 16206559
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  • id: 16206560
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  • id: 16206561
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  • id: 16206562
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  • id: 16206563
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  • id: 16206564
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  • id: 16206565
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  • id: 16206566
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  • id: 16206567
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  • id: 16206568
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  • id: 16206569
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  • id: 16206570
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  • id: 16206571
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  • id: 16206572
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  • id: 16206573
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  • id: 16206574
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  • id: 16206575
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  • id: 16206576
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  • id: 16206577
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  • id: 16206578
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  • id: 16206579
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  • id: 16206580
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  • id: 16206581
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  • id: 16206582
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  • id: 16206583
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  • id: 16206584
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  • id: 16206585
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  • id: 16206586
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  • id: 16206587
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  • id: 16206588
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  • id: 16206589
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  • id: 16206590
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  • id: 16206591
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  • id: 16206592
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  • id: 16206593
    {'hecke_orbit_code': 4503599660925657, 'n': 997, 'trace_an': 78}