Embedded newform data - 1456.2.r.j.417.2

Formats: - HTML - YAML - JSON - 2025-03-07T05:23:38.241720

• 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': 5824, 'analytic_conductor': 11.626218534298424, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 18, 'char_orbit_label': 'r', 'char_order': 3, 'char_parity': 1, 'char_values': [1456, 3, [911, 1093, 1249, 561], [3, 3, 2, 3]], 'cm_discs': [], 'conrey_index': 417, 'dim': 4, 'field_disc': 225, 'field_disc_factorization': [[3, 2], [5, 2]], 'field_poly': [1, 1, 2, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [25, 0, 5, 0, 1]], [5, [25, 0, 5, 0, 1]], [11, [9, 3, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40533564910994864, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1456.2.r.j', 'level': 1456, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 13], 'level_radical': 182, 'minimal_twist': '91.2.e.b', 'nf_label': '4.0.225.1', 'prim_orbit_index': 3, 'qexp_display': 'q-\\beta _{2}q^{3}+(\\beta _{2}+\\beta _{3})q^{5}+(3+2\\beta _{1})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1456.2.r', 'trace_display': [0, 0, 0, 8], 'trace_hash': 383847704314600643, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.046', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.934', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.232', 'prec': 17}, {'__RealLiteral__': 0, 'data': '61.093', 'prec': 20}, {'__RealLiteral__': 0, 'data': '45.647', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1686.797', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.026', 'prec': 17}, 'traces': [4, 0, 0, 0, 0, 0, 8, 0, -4, 0, -6, 0, -4, 0, 20, 0, 6, 0, 6, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 32, 0, 0, 0, -6, 0, 4, 0, -20, 0, 6, 0, 0, 0, 0, 0, 6, 0, -6, 0, -20, 0, 0, 0, -6, 0, 20, 0, 0, 0, -8, 0, 0, 0, 6, 0, 8, 0, 22, 0, 0, 0, 40, 0, -20, 0, 0, 0, -8, 0, 0, 0, 0, 0, -16, 0, 24, 0, 18, 0, 8, 0, 40, 0, -24, 0, -8, 0, 60, 0, -24, 0, -10, 0, 4, 0, -6, 0, 4, 0, 20, 0, 0, 0, -8, 0, 0, 0, -12, 0, 30, 0, 10, 0, 12, 0, 40, 0, 40, 0, 6, 0, -20, 0, 0, 0, 12, 0, 14, 0, -24, 0, 0, 0, -14, 0, 20, 0, -60, 0, -6, 0, -30, 0, -72, 0, 4, 0, 12, 0, 6, 0, 0, 0, -20, 0, 0, 0, -48, 0, 0, 0, -30, 0, 18, 0, 0, 0, 0, 0, 12, 0, -20, 0, -72, 0, -28, 0, 0, 0, 0, 0, 20, 0, -24, 0, -36, 0, -16, 0, -40, 0, 0, 0, -10, 0, 30, 0, -6, 0, 16, 0, 0, 0, -6, 0, -8, 0, 0, 0, -6, 0, -20, 0, 60, 0, -24, 0, 4, 0, 0, 0, 0, 0, -6, 0, 0, 0, -24, 0, 72, 0, 30, 0, 18, 0, 20, 0, 0, 0, 12, 0, -40, 0, 20, 0, -18, 0, -14, 0, 0, 0, 0, 0, -26, 0, -40, 0, 72, 0, 12, 0, 30, 0, 0, 0, -24, 0, -60, 0, -24, 0, 40, 0, 0, 0, 12, 0, 64, 0, 0, 0, 0, 0, -24, 0, 60, 0, -60, 0, 38, 0, 0, 0, 12, 0, 0, 0, -20, 0, 36, 0, 0, 0, 30, 0, -30, 0, -30, 0, 8, 0, 0, 0, 72, 0, -40, 0, 30, 0, -40, 0, -60, 0, -12, 0, -64, 0, 0, 0, -48, 0, -40, 0, -100, 0, 6, 0, 20, 0, 0, 0, -60, 0, -12, 0, 0, 0, -6, 0, 30, 0, 50, 0, 0, 0, 8, 0, -60, 0, 30, 0, 0, 0, -32, 0, 6, 0, -32, 0, 20, 0, -30, 0, 12, 0, 0, 0, -24, 0, -10, 0, 0, 0, -24, 0, -4, 0, 10, 0, -6, 0, 0, 0, -60, 0, -96, 0, 0, 0, -12, 0, 0, 0, -30, 0, 0, 0, -18, 0, 64, 0, 0, 0, 36, 0, 8, 0, -52, 0, 0, 0, -10, 0, 60, 0, -48, 0, 0, 0, 60, 0, 0, 0, -28, 0, 20, 0, 48, 0, 96, 0, 50, 0, -12, 0, 6, 0, 0, 0, -48, 0, 0, 0, -24, 0, -6, 0, -4, 0, 40, 0, -60, 0, 10, 0, 120, 0, 120, 0, -40, 0, 0, 0, 0, 0, 26, 0, 20, 0, -48, 0, 0, 0, 0, 0, 36, 0, 8, 0, 0, 0, -30, 0, 36, 0, -120, 0, 18, 0, 52, 0, 0, 0, -30, 0, -36, 0, -24, 0, 0, 0, 10, 0, -90, 0, 66, 0, -16, 0, 60, 0, -60, 0, 72, 0, -12, 0, 0, 0, 40, 0, 20, 0, 24, 0, -32, 0, 120, 0, -24, 0, -40, 0, -22, 0, -42, 0, -32, 0, -100, 0, 0, 0, 52, 0, -30, 0, 0, 0, 18, 0, 0, 0, 96, 0, 60, 0, -40, 0, -60, 0, 80, 0, -30, 0, 24, 0, -88, 0, 24, 0, 0, 0, 8, 0, 20, 0, 6, 0, -4, 0, 0, 0, 0, 0, 34, 0, 10, 0, 0, 0, 50, 0, 0, 0, 144, 0, 16, 0, 0, 0, -60, 0, -4, 0, 0, 0, -6, 0, -32, 0, 160, 0, 36, 0, 18, 0, 0, 0, -18, 0, -10, 0, 32, 0, 0, 0, 0, 0, 20, 0, 0, 0, -20, 0, 0, 0, 36, 0, 16, 0, 0, 0, -30, 0, -32, 0, 40, 0, -18, 0, -20, 0, 180, 0, -6, 0, -50, 0, 48, 0, -60, 0, 40, 0, 80, 0, 0, 0, -12, 0, -30, 0, -18, 0, 60, 0, 16, 0, -120, 0, 0, 0, 60, 0, 36, 0, 40, 0, -30, 0, 0, 0, 48, 0, -28, 0, 48, 0, -44, 0, 20, 0, -18, 0, 18, 0, 0, 0, -96, 0, -30, 0, 0, 0, -120, 0, 20, 0, -20, 0, -120, 0, -104, 0, -30, 0, 0, 0, 8, 0, -40, 0, -6, 0, 184, 0, 80, 0, 36, 0, 0, 0, 120, 0, 0, 0, 0, 0, -40, 0, 0, 0, 14, 0, 90, 0, -48, 0, 6, 0, 30, 0, 72, 0, 44, 0, 0, 0, -24, 0, 10, 0, -20, 0, -18, 0, -48, 0, 120, 0, -60, 0, 48, 0, 20, 0, -72, 0, 28, 0, 0, 0, 0, 0, 50, 0, 60, 0, -66, 0, 20, 0, 0, 0, -48, 0, -36, 0, -40, 0, 0, 0, 20, 0, 90, 0, -6, 0, -48, 0, 0, 0, -42, 0, 28, 0, -20, 0, 30, 0, 60, 0, -240, 0, -48, 0, 6, 0, 16, 0, 0, 0, -24, 0, 40, 0, 48, 0, -80, 0, 30, 0, -36, 0, -16, 0, 66, 0, 18, 0, 180, 0, -20, 0, 0, 0, 22, 0, 0, 0, 60, 0, 24, 0, -72, 0, -24, 0, 0, 0, -30, 0, -60, 0, 0, 0, 60, 0, 0, 0, 0, 0, 16, 0, 72, 0, 78, 0, 10, 0, -60, 0, 48, 0, 120, 0, -96, 0, 20, 0, 50, 0, -54, 0, 8, 0, -20, 0, -24, 0, 50, 0, -60, 0, -12, 0, 12, 0, -48, 0, 60, 0, -120, 0, 60, 0, -36, 0, 80, 0, 0, 0, 36, 0, 0, 0, 32, 0, 6, 0, -40, 0, 80, 0, -96, 0, 48, 0, -120, 0, 60, 0, -26, 0, 30, 0, -6, 0, -58, 0, -30, 0, 36, 0, -96, 0, 0, 0, -42, 0, -100, 0, 24, 0, -66, 0, -80, 0, 0, 0, 0, 0, -8, 0, 0, 0, 24, 0, 4, 0, 40, 0, -36, 0, 32, 0, 130, 0, 60, 0, 0, 0, 60, 0, -24, 0, 64, 0, -22, 0, 0, 0, -14, 0, 30, 0, 60, 0, 128, 0, 0, 0, 24, 0, -14, 0, -48, 0, -60, 0, 0, 0, -80, 0, 0, 0, -56, 0, 0, 0, 0, 0, -46, 0, 8, 0, 48, 0, 16, 0, -40, 0, 84, 0, 14, 0, -30, 0, -54, 0, -40, 0, 40, 0, -6, 0, 54, 0, 100, 0, 0, 0, 50, 0, 120, 0, 36, 0, -34, 0, 0, 0, -156, 0, -4, 0, 20, 0, -48, 0, -80, 0, -60, 0, 18, 0, -30, 0, 8, 0, -90, 0, 40, 0, 0, 0, 102, 0, -22, 0, 30, 0, 0, 0, 18, 0, 0, 0, 72, 0, -40, 0, -20, 0, -144, 0, 80, 0, -90, 0, 0, 0, 144, 0, -24, 0, -36, 0, 8, 0, 40, 0, -72, 0, -80, 0, -180, 0, -42, 0, 60, 0, -12, 0, -24, 0, -52, 0, 20, 0, 60, 0, -80, 0, 0, 0, 30, 0, 78, 0, 80, 0, 96, 0, -112, 0, -90, 0, 12, 0, 0, 0, -30, 0, 36, 0, -32, 0, -48, 0, 0, 0, -44, 0, -100, 0, 84, 0, 36, 0, 0, 0, 0, 0, -10, 0, -40, 0, 0, 0, -20, 0, 40, 0, 48, 0, 16, 0, -60, 0, -30, 0, -96, 0, 20, 0, 0, 0, -36, 0, 0, 0, 54, 0, 10, 0, 0, 0, -72, 0, -40, 0, -24, 0, 0, 0, -56, 0, -100, 0, 30, 0, -98, 0, -60, 0, 72, 0, 16, 0, -40, 0, 6, 0, 90, 0, 30, 0, -18, 0, -180, 0, -180, 0, 102, 0, 40, 0, 0, 0, 0, 0, -32, 0, -20, 0, -156, 0, 80, 0, 0, 0, 0, 0, -8, 0, 24, 0, 168, 0, 40, 0, 100, 0, 0, 0, -12, 0, 60, 0, -60, 0, -32, 0, -56, 0, 42, 0, -40, 0, -40, 0, -30, 0, -24, 0, -180, 0, 168, 0, 0, 0, -66, 0, -144, 0, 10, 0, -100, 0, -120, 0, -48, 0, 0, 0, 24, 0, 28, 0, 0, 0, 12, 0, 72, 0, -140, 0, -36, 0, -40, 0, 0, 0, 12, 0, 0, 0, 56, 0, -180, 0, 8, 0, 0, 0, 0, 0, 6, 0, 0, 0, -72, 0, -120, 0, -20, 0, 54, 0, 100, 0, 120, 0, 60, 0, 72, 0, -60, 0, 120, 0, -36, 0, 24, 0, -18, 0, -18, 0, -80, 0, -60, 0, 12, 0, -120, 0, -72, 0, 40, 0, -12, 0, 24, 0, -32, 0, 20, 0, 0, 0, -32, 0, 60, 0, -30, 0, 96, 0, -60, 0, 54, 0, 24, 0, 40, 0, -24, 0, 10, 0, -120, 0, 120, 0, -24, 0, 72, 0, 0, 0, 36, 0, 40, 0, 168, 0, 40, 0, 90, 0, 60, 0, -110, 0, -4, 0, -30, 0, 0, 0, -20, 0, -60, 0, -92, 0, 150, 0, 60, 0, 40, 0, 132, 0, 72, 0, -28, 0, 40, 0, 6, 0, 44, 0, -60, 0, 24, 0, -20, 0, 12, 0, -36, 0, 32, 0, 40, 0, -60, 0, 8, 0, -60, 0, 54, 0, -4, 0, 0, 0, 0, 0, -50, 0, -200, 0, 96, 0, 10, 0, -120, 0, 6, 0, 32, 0, 20, 0, 120, 0, -112, 0, -20, 0, 60, 0, -40, 0, -120, 0, 30, 0, 296, 0, 0, 0, 54, 0, 60, 0, 0, 0, -18, 0, -46, 0, -60, 0, 0, 0, -18, 0, 48, 0, -30, 0, -40, 0, -40, 0, 24, 0, -72, 0, 60, 0, -30, 0, 20, 0, 0, 0, -144, 0, 8, 0, -120, 0, 60, 0, 4, 0, 120, 0, 42, 0, 140, 0, 120, 0, -48, 0, -32, 0, 30, 0, -48, 0, 0, 0, 0, 0, 36, 0, -84, 0, 36, 0, 0, 0, -4, 0, 110, 0, 0, 0, 64, 0, -120, 0, -12, 0, 92, 0, 0, 0, 12, 0, 0, 0, 40, 0, -120, 0, -40, 0, -90, 0, 0, 0, -54, 0, 0, 0, 48, 0, 88, 0, 0, 0, -42, 0, -30, 0, -30, 0, 18, 0, -260, 0, -48, 0, -48, 0, 26, 0, 0, 0, 60, 0, 2, 0, -120, 0, 168, 0, 96, 0, -10, 0, -48, 0, -8, 0, 80, 0, 0, 0, -60, 0, 0, 0, 0, 0, 144, 0, 72, 0, 0, 0, -224, 0, -20, 0, -12, 0, 98, 0, -30, 0, 6, 0, 124, 0, 112, 0, 36, 0, 40, 0, -130, 0, 90, 0, -72, 0, 0, 0, 0, 0, -40, 0, 0, 0, 12, 0, 52, 0, 20, 0, 18, 0, -184, 0, -180, 0, -24, 0, 0, 0, 0, 0, -30, 0, -6, 0, -40, 0, 60, 0, 108, 0, 90, 0, -12, 0, -24, 0, 40, 0, 120, 0, 84, 0, 20, 0, 84, 0, -80, 0, 0, 0, -6, 0, -104, 0, -264, 0, -60, 0, -2, 0, 40, 0, 12, 0, -82, 0, 0, 0, -96, 0, -110, 0, 36, 0, 18, 0, 20, 0, 130, 0, 96, 0, -60, 0, 120, 0, -60, 0, -70, 0, 16, 0, -54, 0, -36, 0, -40, 0, 60, 0, 0, 0, 0, 0, 36, 0, 0, 0, -80, 0, 108, 0, -116, 0, -40, 0, 0, 0, 40, 0, 120, 0, -168, 0, -152, 0, 0, 0, -12, 0, 26, 0, 10, 0, 0, 0, 40, 0, 120, 0, 18, 0, -116, 0, -80, 0, -90, 0, -24, 0, -40, 0, -96, 0, -14, 0, -60, 0, 144, 0, 0, 0, -30, 0, 264, 0, 0, 0, -40, 0, -60, 0, -12, 0, 30, 0, 90, 0, 152, 0, 24, 0, 72, 0, -78, 0, 150, 0, 36, 0, -48, 0], 'weight': 2, 'weight_parity': 1}
• mf_hecke_cc •

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

  
  {'an_normalized': [[1.0, 0.0], [0.0, 0.0], [0.6454972243679028, -1.118033988749895], [0.0, 0.0], [0.5, 0.8660254037844386], [0.0, 0.0], [0.7559289460184545, -0.6546536707079772], [0.0, 0.0], [-0.3333333333333333, -0.5773502691896257], [0.0, 0.0], [-0.45226701686664544, 0.7833494518006403], [0.0, 0.0], [-0.2773500981126146, 0.0], [0.0, 0.0], [1.2909944487358056, 0.0], [0.0, 0.0], [0.9061295821011399, -1.5694624744403287], [0.0, 0.0], [0.34412360080584264, 0.5960395606792697], [0.0, 0.0], [-0.2439750182371333, -1.267731382092775], [0.0, 0.0], [-0.39241704011114587, -0.6796862512282987], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.43033148291193524, 0.0], [0.0, 0.0], [-0.8304547985373997, 0.0], [0.0, 0.0], [0.44901325506693723, -0.7777137710478189], [0.0, 0.0], [0.5838742081211422, 1.0112997936948631], [0.0, 0.0], [0.944911182523068, 0.3273268353539886], [0.0, 0.0], [0.7158099538757131, 1.2398192086762696], [0.0, 0.0], [-0.17902871850985821, 0.31008683647302115], [0.0, 0.0], [0.6984302957695782, 0.0], [0.0, 0.0], [1.2199885626608373, 0.0], [0.0, 0.0], [0.3333333333333333, -0.5773502691896257], [0.0, 0.0], [0.10736654927987926, 0.18596431838609853], [0.0, 0.0], [0.14285714285714285, -0.989743318610787], [0.0, 0.0], [-1.169808260327867, -2.0261673420016253], [0.0, 0.0], [-0.10110671249394206, 0.17512196302576663], [0.0, 0.0], [-0.9045340337332909, 0.0], [0.0, 0.0], [0.8885233166386385, 0.0], [0.0, 0.0], [0.4863946213410268, -0.8424601966908837], [0.0, 0.0], [-0.19205531989934396, -0.3326495719295578], [0.0, 0.0], [-0.629940788348712, -0.2182178902359924], [0.0, 0.0], [-0.1386750490563073, -0.2401922307076307], [0.0, 0.0], [-0.18325416653445784, 0.3174055271363692], [0.0, 0.0], [-1.0132164407456505, 0.0], [0.0, 0.0], [-1.0614897848685505, 0.0], [0.0, 0.0], [-0.6266502363349215, 1.0853900479071283], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.17094086468945693, 0.8882347881956881], [0.0, 0.0], [0.6023835342551754, 1.0433588869728712], [0.0, 0.0], [0.6111111111111112, -1.058475493514314], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [1.8122591642022798, 0.0], [0.0, 0.0], [-0.5360562674188974, 0.9284766908852593], [0.0, 0.0], [0.11851136578499431, 0.20526770681399], [0.0, 0.0], [-0.20965696734438366, 0.18156825980064073], [0.0, 0.0], [-0.5796736197002104, -1.0040241611281235], [0.0, 0.0], [-0.34412360080584264, 0.5960395606792697], [0.0, 0.0], [-1.768368293612947, 0.0], [0.0, 0.0], [0.6030226891555273, 0.0], [0.0, 0.0], [0.4477667355944951, -0.7755547359889252], [0.0, 0.0], [0.5275553425622824, 0.913752657122277], [0.0, 0.0], [0.9759000729485332, -0.8451542547285166], [0.0, 0.0], [-0.6881263187191774, -1.1918697460469498], [0.0, 0.0], [-0.5128299597028197, 0.8882475458487838], [0.0, 0.0], [1.8482133536067573, 0.0], [0.0, 0.0], [-1.4058388448535009, 0.0], [0.0, 0.0], [0.39241704011114587, -0.6796862512282987], [0.0, 0.0], [0.09245003270420485, 0.16012815380508713], [0.0, 0.0], [-0.34248478997692866, -1.7796031711787896], [0.0, 0.0], [0.09090909090909091, 0.1574591643244434], [0.0, 0.0], [0.45083481733371616, -0.7808688094430303], [0.0, 0.0], [1.0, 0.0], [0.0, 0.0], [-1.3679849870820404, 0.0], [0.0, 0.0], [0.7874992309581578, -1.363988678940947], [0.0, 0.0], [-0.16442813385274094, -0.2847978820266834], [0.0, 0.0], [0.65033247714309, 0.2252817784447915], [0.0, 0.0], [0.21516574145596762, 0.37267799624996495], [0.0, 0.0], [0.16078720732741952, -0.27849161229820146], [0.0, 0.0], [-0.28977593303635146, 0.0], [0.0, 0.0], [0.2772192382004869, 0.0], [0.0, 0.0], [0.1254363015010636, -0.2172620473133704], [0.0, 0.0], [-0.41522739926869984, -0.7191949522280762], [0.0, 0.0], [-1.0143527811495616, -0.7985957062499249], [0.0, 0.0], [0.5205483156984541, 0.9016161305841262], [0.0, 0.0], [-0.26107993336522345, 0.45220370942526394], [0.0, 0.0], [-1.208172776134853, 0.0], [0.0, 0.0], [0.8980265101338745, 0.0], [0.0, 0.0], [-0.2793304095636678, 0.483814461463296], [0.0, 0.0], [0.13052820455960631, 0.22608148211798174], [0.0, 0.0], [-0.7415984988272502, -0.25689725575712113], [0.0, 0.0], [0.4079380155798505, 0.7065693693231253], [0.0, 0.0], [-0.5838742081211422, 1.0112997936948631], [0.0, 0.0], [-1.046817548458455, 0.0], [0.0, 0.0], [0.07692307692307693, 0.0], [0.0, 0.0], [0.22941573387056177, -0.39735970711951313], [0.0, 0.0], [-0.3959724124980786, -0.6858443368422936], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.6279327560462198, -1.0876114372088057], [0.0, 0.0], [0.752092054272985, -1.3026616499696597], [0.0, 0.0], [0.10528076747520088, 0.0], [0.0, 0.0], [-0.4958847036804647, 0.0], [0.0, 0.0], [-0.7158099538757131, 1.2398192086762696], [0.0, 0.0], [0.8196250459830052, 1.4196322227985423], [0.0, 0.0], [0.3253000243161777, -0.2817180849095055], [0.0, 0.0], [-0.4044905010566085, -0.7005980990090385], [0.0, 0.0], [0.45737826771697726, -0.7922023979636447], [0.0, 0.0], [-0.35805743701971643, 0.0], [0.0, 0.0], [-1.9196998876595397, 0.0], [0.0, 0.0], [-0.2584508591502446, 0.4476500193080513], [0.0, 0.0], [0.23658011170369192, 0.4097687735311148], [0.0, 0.0], [-0.6277648205743445, 0.5436602822195623], [0.0, 0.0], [0.3492151478847891, 0.6048583789091339], [0.0, 0.0], [-0.26161136007409724, 0.45312416748553247], [0.0, 0.0], [-0.6225430174794672, 0.0], [0.0, 0.0], [-0.2753713563286057, 0.0], [0.0, 0.0], [-0.6851887098275317, 1.1867816581938533], [0.0, 0.0], [0.6099942813304187, 1.0565410875907486], [0.0, 0.0], [-0.16971105832553265, -0.881844526878323], [0.0, 0.0], [0.8090019764073642, 1.401232526561193], [0.0, 0.0], [-0.2513151284984936, 0.43529057127009196], [0.0, 0.0], [0.26785981207297, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.3963845853377582, 0.6865582411421186], [0.0, 0.0], [0.5327721700452165, 0.9227884673770403], [0.0, 0.0], [1.1034185368809368, 0.3822353935782192], [0.0, 0.0], [0.19471110034246106, 0.3372495185907844], [0.0, 0.0], [-0.10736654927987926, 0.18596431838609853], [0.0, 0.0], [1.5553475974665731, 0.0], [0.0, 0.0], [0.479727544798667, 0.0], [0.0, 0.0], [0.2804723633584621, -0.4857923834557759], [0.0, 0.0], [-0.5737753105492469, -0.9938079899999065], [0.0, 0.0], [0.9285714285714286, -0.37115374447904514], [0.0, 0.0], [-0.09544271444636666, -0.16531163063339513], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.6609953603275003, 0.0], [0.0, 0.0], [0.7099091363948267, 0.0], [0.0, 0.0], [1.169808260327867, -2.0261673420016253], [0.0, 0.0], [0.5596664640241478, 0.9693707509822431], [0.0, 0.0], [1.3527536599569658, 0.46860761383404337], [0.0, 0.0], [0.27681826617913324, 0.47946330148538413], [0.0, 0.0], [-0.43548043748873816, 0.754274243432817], [0.0, 0.0], [-0.2022134249878841, 0.0], [0.0, 0.0], [0.30599503068105227, 0.0], [0.0, 0.0], [-0.1380343715950586, 0.23908254479348376], [0.0, 0.0], [0.19488450996234546, 0.33754987286294535], [0.0, 0.0], [0.06766649524509584, 0.35160542320387156], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.7936040604573156, 1.3745625538050337], [0.0, 0.0], [-0.5986843400892496, 0.0], [0.0, 0.0], [0.5402194467772004, 0.0], [0.0, 0.0], [-0.41981051003694025, 0.7271331329353846], [0.0, 0.0], [0.44426165831931924, 0.7694837640638655], [0.0, 0.0], [0.5279636773484546, -0.4572299568592125], [0.0, 0.0], [-1.142141639117573, -1.9782473483916332], [0.0, 0.0], [-1.141476825187362, 1.9770958568869283], [0.0, 0.0], [0.17200620157097257, 0.0], [0.0, 0.0], [0.9727892426820536, 0.0], [0.0, 0.0], [-0.19462473604038075, 0.337099931231621], [0.0, 0.0], [0.1088369045758881, 0.18851104846396383], [0.0, 0.0], [0.922224668326776, -0.7986699907676661], [0.0, 0.0], [-0.5780643699810465, -1.0012368588524658], [0.0, 0.0], [0.19205531989934396, -0.3326495719295578], [0.0, 0.0], [0.4232767540140241, 0.0], [0.0, 0.0], [1.3621420372976458, 0.0], [0.0, 0.0], [-0.9139698568532357, 1.5830422286562582], [0.0, 0.0], [0.9161418523711794, 1.5868042352471485], [0.0, 0.0], [-0.12598815766974242, -0.6546536707079772], [0.0, 0.0], [0.1057017419776031, 0.18308078755374455], [0.0, 0.0], [0.3755873143771008, -0.6505363111794832], [0.0, 0.0], [-1.7767345149909275, 0.0], [0.0, 0.0], [1.2472822983573508, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.6620606311217473, 1.146722650793983], [0.0, 0.0], [0.20290370608694397, 0.07028790559732188], [0.0, 0.0], [-0.7809535170114799, -1.3526511698134887], [0.0, 0.0], [0.4772066359171421, -0.8265461391175131], [0.0, 0.0], [-0.36650833306891567, 0.0], [0.0, 0.0], [0.9805224792651179, 0.0], [0.0, 0.0], [-0.9074650722615135, 1.571775611251104], [0.0, 0.0], [0.40614777080541176, 0.7034685744158127], [0.0, 0.0], [-0.5399492471560389, -0.841697576624542], [0.0, 0.0], [-0.5066082203728253, -0.8774711772177838], [0.0, 0.0], [-0.941298158000439, 1.6303762347277573], [0.0, 0.0], [-0.13829651629182063, 0.0], [0.0, 0.0], [-0.11935247900657214, 0.0], [0.0, 0.0], [-0.8172163890919866, 1.415460306685297], [0.0, 0.0], [-0.5307448924342753, -0.9192771195538434], [0.0, 0.0], [-2.210729813183316, -0.7658192716481511], [0.0, 0.0], [-0.15686333614210254, -0.27169526804287697], [0.0, 0.0], [0.2631578947368421, -0.45580284409707295], [0.0, 0.0], [0.23472626340651012, 0.0], [0.0, 0.0], [-1.253300472669843, 0.0], [0.0, 0.0], [0.018483972179312358, -0.03201517894025863], [0.0, 0.0], [-0.2328100985898594, -0.4032389192727559], [0.0, 0.0], [0.038214745305468256, 0.1985696414021258], [0.0, 0.0], [0.7356729132944902, 1.2742228635782704], [0.0, 0.0], [0.6454972243679028, -1.118033988749895], [0.0, 0.0], [0.23032671985243935, 0.0], [0.0, 0.0], [-0.5864214819215922, 0.0], [0.0, 0.0], [-0.8830305121384184, 1.5294537116573068], [0.0, 0.0], [0.383232097730697, 0.6637774643607687], [0.0, 0.0], [-0.6837634587578277, 0.592156525463792], [0.0, 0.0], [-0.4066628542202791, -0.7043607250604991], [0.0, 0.0], [0.1894261658801386, -0.3280957435873702], [0.0, 0.0], [-1.4223227542611154, 0.0], [0.0, 0.0], [-0.4245516160397531, 0.0], [0.0, 0.0], [-0.6023835342551754, 1.0433588869728712], [0.0, 0.0], [-0.35444697268008907, -0.613920165270892], [0.0, 0.0], [0.6716604942594675, -0.581675050747111], [0.0, 0.0], [-0.24379374860290923, -0.4222631591479128], [0.0, 0.0], [-0.12453387034667947, 0.21569899070364404], [0.0, 0.0], [1.2222222222222223, 0.0], [0.0, 0.0], [-1.2949489299312793, 0.0], [0.0, 0.0], [0.11640285063915255, -0.2016156514528636], [0.0, 0.0], [-0.20757539208743164, -0.3595311254964623], [0.0, 0.0], [-0.18383988672968382, -0.9552600728205594], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.18704956046358412, 0.32397934225635444], [0.0, 0.0], [-0.7355204484713039, 0.0], [0.0, 0.0], [-0.6538757100401593, 0.0], [0.0, 0.0], [0.0715776995199195, -0.12397621225739903], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.36295043887187045, -0.12572972015110034], [0.0, 0.0], [-0.16193756890782393, -0.2804840970025372], [0.0, 0.0], [0.32178064977861504, -0.5573404343090883], [0.0, 0.0], [0.12415951447527203, 0.0], [0.0, 0.0], [-1.072112534837795, 0.0], [0.0, 0.0], [0.27007992972123657, -0.4677921603818135], [0.0, 0.0], [-0.3847928662248079, -0.6664807946914215], [0.0, 0.0], [-0.6190476190476191, 0.24743582965269675], [0.0, 0.0], [-0.0531193978589169, -0.0920054959591095], [0.0, 0.0], [-0.11851136578499431, 0.20526770681399], [0.0, 0.0], [1.3440499717309555, 0.0], [0.0, 0.0], [0.4889507091632077, 0.0], [0.0, 0.0], [-0.31587698635699596, 0.5471149893120582], [0.0, 0.0], [0.3370527446508175, 0.583792478565755], [0.0, 0.0], [-0.26207120918047955, -0.09078412990032037], [0.0, 0.0], [-0.7981410055447086, -1.3824207732075482], [0.0, 0.0], [0.38993608677595565, -0.6753891140005418], [0.0, 0.0], [-0.48254496469263664, 0.0], [0.0, 0.0], [1.1153745896164153, 0.0], [0.0, 0.0], [0.5796736197002104, -1.0040241611281235], [0.0, 0.0], [-0.5009785446505716, -0.8677202928367033], [0.0, 0.0], [0.06926356448094152, 0.35990403838294127], [0.0, 0.0], [0.36061400810979405, 0.6246017839672184], [0.0, 0.0], [-0.5517605878460434, 0.955677371763418], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.13480894999192275, 0.0], [0.0, 0.0], [-0.6815480714408574, 1.1804758875361478], [0.0, 0.0], [-0.19852996093741512, -0.34386397916826755], [0.0, 0.0], [-0.7659196361414294, 0.6633058621558118], [0.0, 0.0], [-0.8841841468064735, -1.5314518655157512], [0.0, 0.0], [0.7212412858771923, -1.2492265516556065], [0.0, 0.0], [1.0532914270837752, 0.0], [0.0, 0.0], [1.5557057175550104, 0.0], [0.0, 0.0], [-0.7524996595525802, 1.3033676430233518], [0.0, 0.0], [0.30151134457776363, 0.5222329678670935], [0.0, 0.0], [-0.8024108542850393, 0.6949081840832175], [0.0, 0.0], [-0.00932048807801547, -0.01614355890246279], [0.0, 0.0], [-0.6757178219495453, 1.1703775991963927], [0.0, 0.0], [-0.13624818134026304, 0.0], [0.0, 0.0], [0.8955334711889902, 0.0], [0.0, 0.0], [0.04965363264368483, -0.08600261451922268], [0.0, 0.0], [0.3493620011727971, 0.6051127362652222], [0.0, 0.0], [0.23685152633743625, 1.2307166324000332], [0.0, 0.0], [0.1480872194397731, 0.25649458802128855], [0.0, 0.0], [-0.5275553425622824, 0.913752657122277], [0.0, 0.0], [-0.1942333958163067, 0.0], [0.0, 0.0], [-1.022396372775088, 0.0], [0.0, 0.0], [0.0012207459754725262, -0.002114394052653646], [0.0, 0.0], [0.4217856715554254, 0.7305542130385558], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.8137283863433528, -1.4094189087077236], [0.0, 0.0], [0.1920177332608147, -0.33258446996193936], [0.0, 0.0], [-0.6485261617880357, 0.0], [0.0, 0.0], [-0.1937097110565149, 0.0], [0.0, 0.0], [0.6881263187191774, -1.1918697460469498], [0.0, 0.0], [-0.9709466670047319, -1.6817289586918558], [0.0, 0.0], [0.7107053122190142, 0.559535322714743], [0.0, 0.0], [-0.31617753889201317, -0.5476355615730515], [0.0, 0.0], [0.06795844318456475, -0.11770747639894902], [0.0, 0.0], [-1.0256599194056395, 0.0], [0.0, 0.0], [1.3432686015480497, 0.0], [0.0, 0.0], [-0.12803687993289598, 0.22176638128637186], [0.0, 0.0], [-0.28577909557918063, -0.49498391328422314], [0.0, 0.0], [1.1383978753709658, 0.39435259187419514], [0.0, 0.0], [0.9241066768033787, 1.6005997158370835], [0.0, 0.0], [0.11211029774276264, -0.19418073174213932], [0.0, 0.0], [-0.33836394755025084, 0.0], [0.0, 0.0], [2.116262768817778, 0.0], [0.0, 0.0], [-0.7711845131436357, 1.3357307587750455], [0.0, 0.0], [-0.7029194224267504, -1.217492153270102], [0.0, 0.0], [-0.23097828906119441, -1.200198396297958], [0.0, 0.0], [-0.34644205249038573, -0.600055236791792], [0.0, 0.0], [0.08630481577493783, -0.14948432586006424], [0.0, 0.0], [-1.044389982860892, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.6808301731335301, -1.1792324511931893], [0.0, 0.0], [-0.5904728045950168, -1.0227288980462588], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.09145446248965752, -0.15840377561098892], [0.0, 0.0], [-0.09245003270420485, 0.16012815380508713], [0.0, 0.0], [1.7289252322976554, 0.0], [0.0, 0.0], [0.6180642325727469, 0.0], [0.0, 0.0], [-1.2391609491036077, 2.14628972260272], [0.0, 0.0], [-0.6618883248510988, -1.146424207578757], [0.0, 0.0], [1.3699391599077146, -1.1864021141191932], [0.0, 0.0], [0.3336586244339654, 0.5779136899031705], [0.0, 0.0], [0.8390145486002676, -1.4532158264651305], [0.0, 0.0], [-0.8973987180928046, 0.0], [0.0, 0.0], [0.24433888871261045, 0.0], [0.0, 0.0], [-0.09090909090909091, 0.1574591643244434], [0.0, 0.0], [-0.32723890180574644, -0.5667944041405957], [0.0, 0.0], [0.20261022461827694, 1.0527936095153947], [0.0, 0.0], [-0.02977812297678738, -0.05157722194982992], [0.0, 0.0], [-0.44680232699555505, 0.7738843312963047], [0.0, 0.0], [0.9016696346674323, 0.0], [0.0, 0.0], [0.18004141428847736, 0.0], [0.0, 0.0], [0.3416438451997098, -0.5917444979790939], [0.0, 0.0], [-0.16886940679094176, -0.2924903924059279], [0.0, 0.0], [0.22396542957264567, 0.07758390063176229], [0.0, 0.0], [0.5, 0.8660254037844386], [0.0, 0.0], [-0.4018497898326149, 0.6960242530009643], [0.0, 0.0], [2.5944662974769446, 0.0], [0.0, 0.0], [1.2274350137176822, 0.0], [0.0, 0.0], [-0.1777514461805397, 0.30787453590353964], [0.0, 0.0], [-0.6839924935410202, -1.184709750808774], [0.0, 0.0], [-0.03962144258751637, 0.27450540652300653], [0.0, 0.0], [0.35382992828951687, 0.6128514130358956], [0.0, 0.0], [0.11739231222188581, -0.2033294491862951], [0.0, 0.0], [0.7426937523831675, 0.0], [0.0, 0.0], [1.5749984619163155, 0.0], [0.0, 0.0], [0.30987205866223266, -0.5367141494489506], [0.0, 0.0], [0.43996048882777555, 0.7620339199725467], [0.0, 0.0], [-1.095480170936706, -0.37948546294932267], [0.0, 0.0], [-0.26360270989475093, -0.4565732865505478], [0.0, 0.0], [0.16442813385274094, -0.2847978820266834], [0.0, 0.0], [0.8355336484465619, 0.0], [0.0, 0.0], [-0.34841936603499035, 0.0], [0.0, 0.0], [-0.13045944646116317, 0.2259623895980464], [0.0, 0.0], [0.32444643577488086, 0.5619577110967263], [0.0, 0.0], [0.130066495428618, 0.6758453353343745], [0.0, 0.0], [0.32588461398814433, 0.5644487088324373], [0.0, 0.0], [0.1729027652128102, -0.2994763741177399], [0.0, 0.0], [0.3474411464169823, 0.0], [0.0, 0.0], [0.6713531864236835, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.6320047101824032, -1.0946642686587658], [0.0, 0.0], [-1.336760780363288, 1.1576687945773176], [0.0, 0.0], [0.5117302992354901, 0.8863428780482938], [0.0, 0.0], [-0.08662695135226925, 0.1500422810469278], [0.0, 0.0], [0.32157441465483905, 0.0], [0.0, 0.0], [1.3756118279386063, 0.0], [0.0, 0.0], [0.028041956630038743, -0.04857009362687004], [0.0, 0.0], [0.03486179816220173, 0.06038240566014471], [0.0, 0.0], [0.4558423058385518, -0.39477101697586137], [0.0, 0.0], [-0.14488796651817573, -0.2509533194148187], [0.0, 0.0], [0.6328683520324634, -1.0961601402226129], [0.0, 0.0], [0.5027418992987153, 0.0], [0.0, 0.0], [0.844551219150681, 0.0], [0.0, 0.0], [-0.4926541976407491, 0.8533021008758567], [0.0, 0.0], [0.13860961910024344, 0.24007890269939114], [0.0, 0.0], [-0.16923991825003534, -0.8793964112335935], [0.0, 0.0], [0.18543899440332143, 0.3211897600110334], [0.0, 0.0], [0.40158902283678366, -0.6955725913152474], [0.0, 0.0], [-0.704801810096154, 0.0], [0.0, 0.0], [0.2508726030021272, 0.0], [0.0, 0.0], [0.30966279862036833, -0.5363517004244476], [0.0, 0.0], [0.21055646719989846, 0.36469449905243395], [0.0, 0.0], [0.9969858851737771, 0.3453660415100025], [0.0, 0.0], [-0.3620882641195864, -0.6271552702795425], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.5501186848061499, 0.0], [0.0, 0.0], [-0.25925925925925924, 0.0], [0.0, 0.0], [1.105467726452035, -1.9147262683425776], [0.0, 0.0], [-0.282407687515672, -0.48914446322517885], [0.0, 0.0], [0.18442777839082938, -1.2777531299998799], [0.0, 0.0], [-0.1657596304538454, -0.2871041017899016], [0.0, 0.0], [0.6590657171067833, -1.1415353075557653], [0.0, 0.0], [-0.24643202904507208, 0.0], [0.0, 0.0], [-0.552341094021992, 0.0], [0.0, 0.0], [-0.5205483156984541, 0.9016161305841262], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-1.3004365070923671, -0.45048442046027687], [0.0, 0.0], [0.5496313484125309, 0.9519894208830952], [0.0, 0.0], [-0.42667067041146317, 0.7390152792521291], [0.0, 0.0], [-0.5221598667304469, 0.0], [0.0, 0.0], [0.03026920256113836, 0.0], [0.0, 0.0], [0.4582443770962756, -0.7937025434135012], [0.0, 0.0], [-0.6079305064372327, -1.0529665246203654], [0.0, 0.0], [0.1938315054624195, 1.007178046705425], [0.0, 0.0], [-0.6040863880674265, -1.0463083162935525], [0.0, 0.0], [-0.1349015959503818, 0.23365641820818916], [0.0, 0.0], [1.6588024257416234, 0.0], [0.0, 0.0], [1.4450525963975445, 0.0], [0.0, 0.0], [-0.19906003772492523, 0.3447820990961479], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [1.3971179724091891, -1.2099396561901643], [0.0, 0.0], [0.24034634829211693, 0.4162920866555918], [0.0, 0.0], [0.4800768184369166, -0.8315174410687587], [0.0, 0.0], [-0.35737084494593163, 0.0], [0.0, 0.0], [-0.5586608191273356, 0.0], [0.0, 0.0], [-0.11436011953876438, 0.19807753740079018], [0.0, 0.0], [0.562202827331001, 0.9737638610961664], [0.0, 0.0], [-1.0627142762619084, 0.9203375602072067], [0.0, 0.0], [0.05326656181713262, 0.09226039141178208], [0.0, 0.0], [-0.13052820455960631, 0.22608148211798174], [0.0, 0.0], [0.9544150781921428, 0.0], [0.0, 0.0], [0.38915202572247376, 0.0], [0.0, 0.0], [0.07900757718999621, -0.13684513787599334], [0.0, 0.0], [-0.5668264660119465, -0.9817722382074047], [0.0, 0.0], [-0.14831969976545004, -0.7706917672713633], [0.0, 0.0], [0.17820160746395605, 0.3086542381180171], [0.0, 0.0], [0.07763631583923748, -0.1344700435460237], [0.0, 0.0], [-1.3636045913419703, 0.0], [0.0, 0.0], [0.5031896410119716, 0.0], [0.0, 0.0], [-0.4079380155798505, 0.7065693693231253], [0.0, 0.0], [0.41982685712479173, 0.7271614469220992], [0.0, 0.0], [0.17471413945365305, 0.06052275326688024], [0.0, 0.0], [-0.5891846762349766, -1.0204977942799989], [0.0, 0.0], [-0.10674527325700912, 0.18488823674896313], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.9330684255829423, 0.0], [0.0, 0.0], [0.43414294477949245, -0.7519576381056503], [0.0, 0.0], [1.024538436544589, 1.7745526264024105], [0.0, 0.0], [-1.4239179147303627, -1.1210446246002348], [0.0, 0.0], [-0.5234087742292275, -0.9065705900923696], [0.0, 0.0], [0.1932245399000701, -0.3346747203760412], [0.0, 0.0], [-1.0318671249842748, 0.0], [0.0, 0.0], [-0.3103448275862069, 0.0], [0.0, 0.0], [0.3487101534442468, -0.6039837028805748], [0.0, 0.0], [0.038461538461538464, 0.06661733875264912], [0.0, 0.0], [0.17180203318601237, 0.05951397006436156], [0.0, 0.0], [0.541973037978637, 0.9387248381114561], [0.0, 0.0], [0.5617920467640063, -0.9730523682833696], [0.0, 0.0], [0.9672349937235223, 0.0], [0.0, 0.0], [0.45883146774112354, 0.0], [0.0, 0.0], [-0.740586302818502, 1.2827331038712355], [0.0, 0.0], [0.12439643561079647, 0.21546094675836988], [0.0, 0.0], [-0.17039954414774924, -0.8854220041514329], [0.0, 0.0], [0.10306969075806001, 0.17852194111337227], [0.0, 0.0], [0.3959724124980786, -0.6858443368422936], [0.0, 0.0], [-2.9489970315416008, 0.0], [0.0, 0.0], [-1.0897528161886998, 0.0], [0.0, 0.0], [0.050825561067877285, -0.08803245409275814], [0.0, 0.0], [0.5894560978709823, 1.020967910343834], [0.0, 0.0], [0.7559289460184545, -0.6546536707079772], [0.0, 0.0], [0.137174323399144, 0.23759289762120173], [0.0, 0.0], [0.1110295256881288, -0.19230877963211288], [0.0, 0.0], [-0.650400347817011, 0.0], [0.0, 0.0], [-0.6730535881360645, 0.0], [0.0, 0.0], [0.6279327560462198, -1.0876114372088057], [0.0, 0.0], [-0.2646505176792479, -0.45838814286986274], [0.0, 0.0], [-1.0340994494539957, 0.8955563932666624], [0.0, 0.0], [0.5527707983925666, 0.9574271077563381], [0.0, 0.0], [-0.07389472708858001, 0.1279894217288568], [0.0, 0.0], [1.50418410854597, 0.0], [0.0, 0.0], [0.2810156792501203, 0.0], [0.0, 0.0], [-0.3728852122772354, 0.6458561330552779], [0.0, 0.0], [0.18323156627951162, 0.31736638234653836], [0.0, 0.0], [-0.2976467318242718, -1.546617786679401], [0.0, 0.0], [0.05264038373760044, 0.09117581916344643], [0.0, 0.0], [0.0878556022188626, -0.152170366772631], [0.0, 0.0], [-0.5970223141259935, 0.0], [0.0, 0.0], [-1.5323051385005704, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.24794235184023236, -0.4294487507354012], [0.0, 0.0], [-0.31073996479770954, -0.10764348139435946], [0.0, 0.0], [-0.3319248443324068, -0.5749106946781191], [0.0, 0.0], [0.2732239698555081, -0.4732377976354074], [0.0, 0.0], [0.2944042959788306, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.3517035617081883, -0.609168438081518], [0.0, 0.0], [0.7739683699273429, 1.3405525401654217], [0.0, 0.0], [0.6390866872108506, -0.2554455260054013], [0.0, 0.0], [1.1799300115093863, 2.0436987293095874], [0.0, 0.0], [-0.8196250459830052, 1.4196322227985423], [0.0, 0.0], [-0.046272028011960786, 0.0], [0.0, 0.0], [2.365468091331461, 0.0], [0.0, 0.0], [-0.7459307735698804, 1.2919899987521886], [0.0, 0.0], [-0.27407594938985, -0.4747134694758965], [0.0, 0.0], [0.40662503039522213, 0.14085904245475275], [0.0, 0.0], [-0.5113535007581217, -0.8856902439412773], [0.0, 0.0], [0.17380150452978355, -0.3010330362774975], [0.0, 0.0], [0.2729207242295802, 0.0], [0.0, 0.0], [0.9645744829609976, 0.0], [0.0, 0.0], [0.4044905010566085, -0.7005980990090385], [0.0, 0.0], [-0.48488113787642695, -0.8398387664337814], [0.0, 0.0], [-0.06077185208413348, -0.31577980643933923], [0.0, 0.0], [0.0967741935483871, 0.16761782008731071], [0.0, 0.0], [-0.4587508791461183, 0.7945798306979666], [0.0, 0.0], [0.9147565354339545, 0.0], [0.0, 0.0], [-1.396177553171243, 0.0], [0.0, 0.0], [0.8051172615928883, -1.3945040031296052], [0.0, 0.0], [-0.3964619991614428, -0.6866923258179486], [0.0, 0.0], [-0.2190500156416834, 0.18970287824507645], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.5383190435165526, -0.9323959340525504], [0.0, 0.0], [-0.21439512747348483, 0.0], [0.0, 0.0], [0.6837732796037597, 0.0], [0.0, 0.0], [-0.0234769224471534, 0.040663222483823945], [0.0, 0.0], [-0.9598499438297698, -1.6625088703552944], [0.0, 0.0], [0.20955804654893292, -0.18148259187881782], [0.0, 0.0], [-0.47874430072881696, -0.8292094526963449], [0.0, 0.0], [0.2746460024283191, -0.475700830301534], [0.0, 0.0], [-2.0164133103650483, 0.0], [0.0, 0.0], [-0.5169017183004893, 0.0], [0.0, 0.0], [0.006593884701339987, -0.01142094332197199], [0.0, 0.0], [0.30803555893445955, 0.5335332386123611], [0.0, 0.0], [-0.047410465593076045, -0.24635200565311152], [0.0, 0.0], [-0.8814731099439735, -1.5267562119287093], [0.0, 0.0], [-0.23658011170369192, 0.4097687735311148], [0.0, 0.0], [-0.13917282387622568, 0.0], [0.0, 0.0], [-1.1779219315508491, 0.0], [0.0, 0.0], [0.6329245387959682, -1.096257458551716], [0.0, 0.0], [-0.821690161384064, -1.4232091075966693], [0.0, 0.0], [-0.7847060257179306, -0.27183014110978115], [0.0, 0.0], [0.4686129482845003, 0.8116614355134013], [0.0, 0.0], [-0.5869368290312854, 1.016604408715554], [0.0, 0.0], [-1.8855523027966195, 0.0], [0.0, 0.0], [1.0486690349524177, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.16707113232709644, -0.2893756896685941], [0.0, 0.0], [-1.2895822392534189, 0.0603681610520369], [0.0, 0.0], [0.7091586783037775, 1.2282988614505357], [0.0, 0.0], [0.5529039938285624, -0.9576578090188189], [0.0, 0.0], [-0.5232227201481945, 0.0], [0.0, 0.0], [-0.6961080270427731, 0.0], [0.0, 0.0], [-0.2720928100945068, 0.4712785714578757], [0.0, 0.0], [1.215210696583806, 2.1048066683843194], [0.0, 0.0], [0.9837438490940351, 0.3407788656528479], [0.0, 0.0], [-0.3112715087397336, -0.5391380680858384], [0.0, 0.0], [-0.08927001740612066, 0.15462020573995902], [0.0, 0.0], [-0.46141001508524143, 0.0], [0.0, 0.0], [0.49353575878050854, 0.0], [0.0, 0.0], [-0.16949172662437556, 0.29356828197599305], [0.0, 0.0], [-0.13768567816430285, -0.23847859005514926], [0.0, 0.0], [0.09867893942767084, 0.5127508101772128], [0.0, 0.0], [1.0550218217336749, 1.8273513983365994], [0.0, 0.0], [0.014292764511485576, -0.024755794314510384], [0.0, 0.0], [0.15848469091117073, 0.0], [0.0, 0.0], [-1.3703774196550633, 0.0], [0.0, 0.0], [0.7997746528738877, -1.3852503333833357], [0.0, 0.0], [0.30329519397990556, 0.5253226856646547], [0.0, 0.0], [-0.9132927732718097, 0.7909347427461287], [0.0, 0.0], [-0.5944478110369207, -1.0296138111640498], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.4050193923392661, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0842649269507154, -0.14595113477471905], [0.0, 0.0], [-0.3397353812462646, -0.5884389414473131], [0.0, 0.0], [0.6788442333021306, -0.5878963512522154], [0.0, 0.0], [-0.5522711246080892, -0.956561647374413], [0.0, 0.0], [0.06060606060606061, -0.1049727762162956], [0.0, 0.0], [0.36330290518600356, 0.0], [0.0, 0.0], [-1.0964494854504625, 0.0], [0.0, 0.0], [-0.8090019764073642, 1.401232526561193], [0.0, 0.0], [0.6002829570355106, 1.0397205805031897], [0.0, 0.0], [0.10557697104618328, 0.5485940338836532], [0.0, 0.0], [-0.023862705474079326, -0.04133141828715737], [0.0, 0.0], [-0.9451122931837607, 1.636982510652206], [0.0, 0.0], [-0.5026302569969872, 0.0], [0.0, 0.0], [0.3005565448891441, 0.0], [0.0, 0.0], [0.2235406218593898, -0.38718371461600515], [0.0, 0.0], [0.40502025151887655, 0.70151565372502], [0.0, 0.0], [0.24667512024606106, 0.08545076824586799], [0.0, 0.0], [0.133929906036485, 0.23197340190811772], [0.0, 0.0], [0.3740101827902507, -0.6478046391408372], [0.0, 0.0], [1.899499294296969, 0.0], [0.0, 0.0], [0.669519474033874, 0.0], [0.0, 0.0], [-0.8541806468904767, 1.479484279256356], [0.0, 0.0], [-0.3333333333333333, -0.5773502691896257], [0.0, 0.0], [-0.7287745030635566, 0.2912941076692709], [0.0, 0.0], [-0.7285202418032064, -1.2618340731455173], [0.0, 0.0], [0.14867525836251314, -0.2575131013123024], [0.0, 0.0], [-0.9543835240508188, 0.0], [0.0, 0.0], [-0.7927691706755164, 0.0], [0.0, 0.0], [-0.37853343889010005, 0.655639148521422], [0.0, 0.0], [0.33210404268032195, 0.5752210753213405], [0.0, 0.0], [0.7709303853953405, 0.2670581193206771], [0.0, 0.0], [0.4559949956940134, 0.7898065005391827], [0.0, 0.0], [-0.5327721700452165, 0.9227884673770403], [0.0, 0.0], [1.2856326295961926, 0.0], [0.0, 0.0], [0.9895010214954151, 0.0], [0.0, 0.0], [0.8175366502503708, -1.4160150152833095], [0.0, 0.0], [-0.1619750176147841, -0.28054896006567], [0.0, 0.0], [0.2206837073761874, 1.1467061807346575], [0.0, 0.0], [-0.03286913892792812, -0.05693101862421153], [0.0, 0.0], [0.1321815364753605, -0.22894513699784316], [0.0, 0.0], [0.5249994873054386, 0.0], [0.0, 0.0], [-0.12786872601253418, 0.0], [0.0, 0.0], [-0.19471110034246106, 0.3372495185907844], [0.0, 0.0], [-0.24454812859656683, -0.42356978362514125], [0.0, 0.0], [-0.7913196860798223, 0.6853029506598532], [0.0, 0.0], [0.2904070644212845, 0.5029997904545928], [0.0, 0.0], [-0.9181053900308607, 1.5902051822362913], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [1.2448673495781952, 0.0], [0.0, 0.0], [-0.10961875590182729, 0.18986525468445561], [0.0, 0.0], [-0.034155065745790615, -0.059158309207564735], [0.0, 0.0], [0.05814838046295803, -0.050357974669844395], [0.0, 0.0], [0.7776737987332866, 1.3469705311211455], [0.0, 0.0], [-0.49000178498463093, 0.8487079873928214], [0.0, 0.0], [-0.5800147905657416, 0.0], [0.0, 0.0], [-0.9151781482024135, 0.0], [0.0, 0.0], [-0.10978038511884818, 0.19014520470032334], [0.0, 0.0], [0.2398637723993335, 0.415456240690783], [0.0, 0.0], [-0.086710996952412, -0.450563556889583], [0.0, 0.0], [-0.46387215206927257, -0.8034501356002967], [0.0, 0.0], [-0.2783371416601945, 0.4820940709889529], [0.0, 0.0], [-0.6294727521656968, 0.0], [0.0, 0.0], [0.5609447267169242, 0.0], [0.0, 0.0], [-0.9618472951675686, 1.6659683843529274], [0.0, 0.0], [0.16077253529714775, 0.27846619959632063], [0.0, 0.0], [-0.748317521080143, -0.25922479334096044], [0.0, 0.0], [0.752500614668345, 1.3033692973323834], [0.0, 0.0], [0.5737753105492469, -0.9938079899999065], [0.0, 0.0], [1.0725481594073534, 0.0], [0.0, 0.0], [0.1587039874089654, 0.0], [0.0, 0.0], [-0.8358859399688267, 1.4477969173584764], [0.0, 0.0], [0.11775427917360504, 0.20395639433733365], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.15027543399216908, -0.26028468680389993], [0.0, 0.0], [0.22483225498674844, -0.3894208888173294], [0.0, 0.0], [0.5367675224224836, 0.0], [0.0, 0.0], [-0.21438294310322603, 0.0], [0.0, 0.0], [0.09544271444636666, -0.16531163063339513], [0.0, 0.0], [-0.21739204708595544, -0.3765340707142805], [0.0, 0.0], [-1.1866813661212054, -0.4110784837034345], [0.0, 0.0], [1.1356526335474857, 1.967008061053645], [0.0, 0.0], [0.6358145405571436, -1.1012630884360353], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-1.0131453560224375, 0.0], [0.0, 0.0], [-0.6401767788951593, 1.1088187068722033], [0.0, 0.0], [0.09659197767878382, 0.16730221294321246], [0.0, 0.0], [-0.2842640769477159, -1.4770794721203384], [0.0, 0.0], [-0.33049768016375014, -0.5724387738272639], [0.0, 0.0], [-0.4747764079540618, 0.8223368608114835], [0.0, 0.0], [0.5902722987637413, 0.0], [0.0, 0.0], [0.49045711973278766, 0.0], [0.0, 0.0], [-0.42207495591251454, 0.731055268242869], [0.0, 0.0], [0.35495456819741333, 0.614799346496592], [0.0, 0.0], [0.07958477959354257, -0.06892244088259326], [0.0, 0.0], [0.046203206366747816, 0.08002630089979704], [0.0, 0.0], [0.31360446054086205, -0.5431788591370023], [0.0, 0.0], [-0.2522483346020447, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.5654995547472419, -0.979473960479801], [0.0, 0.0], [-0.11766884907823201, -0.2038084250716521], [0.0, 0.0], [-0.3748536013998473, 0.3246327415123538], [0.0, 0.0], [-0.15917886637497505, -0.275705884052674], [0.0, 0.0], [-0.5596664640241478, 0.9693707509822431], [0.0, 0.0], [-0.16724840200141816, 0.0], [0.0, 0.0], [-0.6228142540396059, 0.0], [0.0, 0.0], [-0.482990983885929, 0.83656492368811], [0.0, 0.0], [-0.41541703257479246, -0.7195234067490359], [0.0, 0.0], [0.2705507319913931, 1.40582284150213], [0.0, 0.0], [-0.4940259977329432, -0.8556781283333647], [0.0, 0.0], [0.08014462197265455, -0.13881455721003869], [0.0, 0.0], [1.7389088399705677, 0.0], [0.0, 0.0], [0.11081225263410618, 0.0], [0.0, 0.0], [-0.27681826617913324, 0.47946330148538413], [0.0, 0.0], [0.4125973707572234, 0.7146396092208444], [0.0, 0.0], [1.548945742850651, 0.5365705449569689], [0.0, 0.0], [-0.348671689985073, -0.6039170822150508], [0.0, 0.0], [-0.12418814804869836, 0.2151001821182313], [0.0, 0.0], [-0.8709608749774763, 0.0], [0.0, 0.0], [-0.993530908418733, 0.0], [0.0, 0.0], [0.7636994806726984, -1.3227663022390794], [0.0, 0.0], [0.1828530736321361, 0.3167108138509927], [0.0, 0.0], [0.061475926130276456, -0.4259177099999599], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.05661318943316908, -0.09805692047677034], [0.0, 0.0], [-0.13715369551210072, 0.0], [0.0, 0.0], [-1.0689947671393438, 0.0], [0.0, 0.0], [0.5477910356647767, -0.9488019057021682], [0.0, 0.0], [0.15299751534052614, 0.26499947000159], [0.0, 0.0], [-0.7644151953454964, -0.26480119128321766], [0.0, 0.0], [-0.14631752601948303, -0.25342938910352575], [0.0, 0.0], [0.34703221046563604, -0.6010774203894175], [0.0, 0.0], [2.1833501606369996, 0.0], [0.0, 0.0], [-0.2760687431901172, 0.0], [0.0, 0.0], [0.3156163256175683, -0.5466635116678309], [0.0, 0.0], [-0.3652836869875849, -0.6326899050385834], [0.0, 0.0], [-0.17287273592352057, -0.8982730855889252], [0.0, 0.0], [0.4077954358702776, 0.7063224140220167], [0.0, 0.0], [-0.19488450996234546, 0.33754987286294535], [0.0, 0.0], [-0.7634781505305093, 0.0], [0.0, 0.0], [0.3481065778202979, 0.0], [0.0, 0.0], [0.04217009998632298, -0.07304075573657101], [0.0, 0.0], [-0.08916306605187793, -0.15443496056047232], [0.0, 0.0], [-0.27066598098038336, 0.2344036154692477], [0.0, 0.0], [-0.8681140234909314, -1.503617595449335], [0.0, 0.0], [-0.5247677801351011, 0.9089244573691287], [0.0, 0.0], [-2.060791214933265, 0.0], [0.0, 0.0], [1.8576344944627976, 0.0], [0.0, 0.0], [-0.45226701686664544, 0.7833494518006403], [0.0, 0.0], [-1.1074917114569487, -1.9182319132048462], [0.0, 0.0], [-1.4511567127502212, 1.256738578114009], [0.0, 0.0], [-0.2937534083799444, -0.508795828210593], [0.0, 0.0], [-0.3114814353418046, 0.5395016716264858], [0.0, 0.0], [-1.5872081209146311, 0.0], [0.0, 0.0], [-0.8625805430936218, 0.0], [0.0, 0.0], [0.7199712017278848, -1.2470267013791179], [0.0, 0.0], [0.19085190201063612, 0.33056519100357856], [0.0, 0.0], [0.09768524277750422, 0.507587410921014], [0.0, 0.0], [-0.2993421700446248, -0.5184758473652127], [0.0, 0.0], [0.6186944892259508, -1.0716102897022222], [0.0, 0.0], [0.8399388499900612, 0.0], [0.0, 0.0], [-1.2935210401592616, 0.0], [0.0, 0.0], [-0.1507315603449996, 0.26107472082167354], [0.0, 0.0], [0.2701097233886002, 0.467843764527431], [0.0, 0.0], [0.4470943862227501, 0.15487803854332519], [0.0, 0.0], [-0.06900376110907892, -0.11951802015427003], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.37244054608489036, 0.0], [0.0, 0.0], [-0.8396210200738805, 0.0], [0.0, 0.0], [0.14223343963866525, -0.24635554398944928], [0.0, 0.0], [0.7123198559404469, 1.2337741817289973], [0.0, 0.0], [-0.1186363997910571, 0.8219370882606585], [0.0, 0.0], [0.7510818840977407, 1.3009119839018457], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.5948841079387273, 0.0], [0.0, 0.0], [-1.5034294697819088, 0.0], [0.0, 0.0], [-0.04350940151986877, 0.07536049403932725], [0.0, 0.0], [-0.056861091330410105, -0.0984862991580845], [0.0, 0.0], [0.6599545966855683, 0.22861497842960626], [0.0, 0.0], [0.8798747767767411, 1.52398781767564], [0.0, 0.0], [0.24805694061448033, -0.4296472243143757], [0.0, 0.0], [0.2974616863461145, 0.0], [0.0, 0.0], [-0.5126021549558786, 0.0], [0.0, 0.0], [1.142141639117573, -1.9782473483916332], [0.0, 0.0], [0.027926423996523626, 0.04836998523568962], [0.0, 0.0], [0.09887979984363335, 0.5137945115142423], [0.0, 0.0], [-0.3529421941510031, -0.6113138124043763], [0.0, 0.0], [0.05793037926731394, -0.10033836019272246], [0.0, 0.0], [-2.282953650374724, 0.0], [0.0, 0.0], [0.19283601510985326, 0.0], [0.0, 0.0], [0.16635142821124782, -0.28812912557352793], [0.0, 0.0], [-0.9311184962665294, -1.612744543400761], [0.0, 0.0], [-0.4705982870544019, 0.4075500715665536], [0.0, 0.0], [0.08600310078548629, 0.14896174016892905], [0.0, 0.0], [0.2719586770532337, -0.47104624621541685], [0.0, 0.0], [0.38990954155064317, 0.0], [0.0, 0.0], [0.49103101088485773, 0.0], [0.0, 0.0], [1.0042037226150358, -1.7393318687190455], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.20816117915315516, 0.18027286922835606], [0.0, 0.0], [0.9714728831579648, 1.6826403918050186], [0.0, 0.0], [0.2699461555083736, -0.4675604566483922], [0.0, 0.0], [1.3199989668358303, 0.0], [0.0, 0.0], [-0.3892494720807615, 0.0], [0.0, 0.0], [0.6400231044934667, -1.1085525350006489], [0.0, 0.0], [0.416256035586894, 0.7209766025936991], [0.0, 0.0], [0.2589769896218353, 1.3456839120487698], [0.0, 0.0], [-0.01060654409471628, -0.01837107326476824], [0.0, 0.0], [-0.1088369045758881, 0.18851104846396383], [0.0, 0.0], [-0.024065396736452464, 0.0], [0.0, 0.0], [1.5834149390834853, 0.0], [0.0, 0.0], [-0.4145887817480813, 0.7180888342357612], [0.0, 0.0], [0.348939182819485, 0.6043803933949131], [0.0, 0.0], [1.1527808354084699, 0.39933499538383305], [0.0, 0.0], [0.14543750121658172, 0.25190514143297993], [0.0, 0.0], [-0.08794782288031448, 0.15233009764377328], [0.0, 0.0], [1.6557257014207847, 0.0], [0.0, 0.0], [0.42954661741196887, 0.0], [0.0, 0.0], [0.5780643699810465, -1.0012368588524658], [0.0, 0.0], [0.4999433578002224, 0.8659272966165714], [0.0, 0.0], [-0.7055922579623299, -0.5555098364627278], [0.0, 0.0], [-0.02564102564102564, -0.04441155916843275], [0.0, 0.0], [-0.8797503958483787, 1.5237723835882238], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.9020488082266261, 0.0], [0.0, 0.0], [0.13105609679409946, -0.22699581828904494], [0.0, 0.0], [-0.33065057564261296, -0.572703596564902], [0.0, 0.0], [1.5288700283811634, 0.5296161134650893], [0.0, 0.0], [0.21163837700701205, 0.3665684218075617], [0.0, 0.0], [0.08396455455493544, -0.145430874524037], [0.0, 0.0], [0.8411910241920598, 0.0], [0.0, 0.0], [0.28764823047794774, 0.0], [0.0, 0.0], [0.5902827031505469, -1.0223996326858447], [0.0, 0.0], [0.6810710186488229, 1.1796496078624517], [0.0, 0.0], [0.09498819010217935, 0.49357311412795735], [0.0, 0.0], [0.023825140758518406, 0.04126635429123398], [0.0, 0.0], [-0.1253771178789782, 0.21715953827294251], [0.0, 0.0], [0.37921807826388904, 0.0], [0.0, 0.0], [-1.8279397137064715, 0.0], [0.0, 0.0], [-0.2639816083320524, 0.4572295578948624], [0.0, 0.0], [-0.8792074946752015, -1.5228320511727922], [0.0, 0.0], [0.2024829854210215, -0.17535540920871875], [0.0, 0.0], [-0.0015759762776516074, -0.0027296709844158596], [0.0, 0.0], [-0.9161418523711794, 1.5868042352471485], [0.0, 0.0], [-0.28839981525600344, 0.0], [0.0, 0.0], [1.089045921068716, 0.0], [0.0, 0.0], [0.2841855086290842, -0.4922237397203774], [0.0, 0.0], [-0.02521364528296496, -0.04367131467411467], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.48338780856794916, 0.8372522441990662], [0.0, 0.0], [-2.101037659096027, 0.0], [0.0, 0.0], [-0.2960039111249024, 0.0], [0.0, 0.0], [-0.1057017419776031, 0.18308078755374455], [0.0, 0.0], [-0.24789382769854446, -0.429364704456604], [0.0, 0.0], [0.14981929090616683, 0.7784838714102684], [0.0, 0.0], [0.8732799567671515, 1.512565254352259], [0.0, 0.0], [0.20931091868207327, -0.3625371457362686], [0.0, 0.0], [0.7511746287542016, 0.0], [0.0, 0.0], [-1.0363822608634286, 0.0], [0.0, 0.0], [-0.12503908082008883, 0.216574040912105], [0.0, 0.0], [0.570477701596138, 0.9880963637496277], [0.0, 0.0], [1.0068447624256132, 0.3487812567711555], [0.0, 0.0], [-0.8883672574954637, -1.5386972257627667], [0.0, 0.0], [0.46599025598835725, -0.8071187992038621], [0.0, 0.0], [1.8448187232936444, 0.0], [0.0, 0.0], [-1.0027894056973135, 0.0], [0.0, 0.0], [-0.053594608438269464, 0.09282858482684239], [0.0, 0.0], [0.6236411491786754, 1.0801781560681074], [0.0, 0.0], [1.0843378150821212, -0.4334141972977985], [0.0, 0.0], [-0.4452741837268707, -0.7712375095136991], [0.0, 0.0], [0.38082934775282823, -0.659615779321215], [0.0, 0.0], [-0.8163668950490766, 0.0], [0.0, 0.0], [-0.2773500981126146, 0.0], [0.0, 0.0], [0.05474511879297404, -0.09482132721582481], [0.0, 0.0], [-0.03509358915840029, -0.06078387944229762], [0.0, 0.0], [0.3679693921499253, 0.1274683365667814], [0.0, 0.0], [0.41654667948633356, 0.7214800125944384], [0.0, 0.0], [-0.6620606311217473, 1.146722650793983], [0.0, 0.0], [-1.178096894270931, 0.0], [0.0, 0.0], [-0.9417073355035863, 0.0], [0.0, 0.0], [0.8670761538798204, -1.5018199525512592], [0.0, 0.0], [0.0907965081720438, 0.15726416530382262], [0.0, 0.0], [0.04058074121738879, 0.21086371679196564], [0.0, 0.0], [-0.08264745061341079, -0.14314958357846705], [0.0, 0.0], [-1.6023708228924056, 2.7753876778155973], [0.0, 0.0], [0.3794107703837876, 0.0], [0.0, 0.0], [-0.7378784519149227, 0.0], [0.0, 0.0], [0.7809535170114799, -1.3526511698134887], [0.0, 0.0], [-0.2226268100691338, -0.38560094616672624], [0.0, 0.0], [1.175732270045242, -1.0182140139083253], [0.0, 0.0], [-0.23615568525366434, -0.40903364535559095], [0.0, 0.0], [0.9405149296608213, -1.6290196434496114], [0.0, 0.0], [0.9544132718342841, 0.0], [0.0, 0.0], [-1.1701778492076307, 0.0], [0.0, 0.0], [-0.606326817225647, 1.0501888534263488], [0.0, 0.0], [-0.1447337720320249, -0.2506862467305585], [0.0, 0.0], [0.3626399373156773, -0.3140553981421729], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.21841298896985356, 0.3783023939287672], [0.0, 0.0], [0.9836329237099996, 0.0], [0.0, 0.0], [-0.5121951219512195, 0.0], [0.0, 0.0], [0.5464166973220035, -0.946421481865695], [0.0, 0.0], [0.49026123963255896, 0.8491573760252926], [0.0, 0.0], [-0.10600858901043363, -0.5508367866142763], [0.0, 0.0], [0.9955949254194586, 1.7244209945842495], [0.0, 0.0], [-0.08156511586070116, 0.14127492479597648], [0.0, 0.0], [0.7149261118125587, 0.0], [0.0, 0.0], [-1.814930144523027, 0.0], [0.0, 0.0], [-0.7513316005734889, 1.3013445055253285], [0.0, 0.0], [0.8021146534078338, 1.3893033331978688], [0.0, 0.0], [-1.0843334143872592, -0.375624113212674], [0.0, 0.0], [0.04560415905653182, 0.07898872052236547], [0.0, 0.0], [-0.40614777080541176, 0.7034685744158127], [0.0, 0.0], [-0.8945095331474531, 0.0], [0.0, 0.0], [-1.5911224713336167, 0.0], [0.0, 0.0], [-0.4039287472754372, 0.699625112918706], [0.0, 0.0], [-0.11141903806461112, -0.19298343485835717], [0.0, 0.0], [0.4589568600826331, -0.8884585531036833], [0.0, 0.0], [-0.8114693700060629, -1.4055061776364093], [0.0, 0.0], [-0.269660334037739, 0.46706539933935903], [0.0, 0.0], [1.25947457900266, 0.0], [0.0, 0.0], [0.20678852451523316, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.2526638621069966, -0.43762664640589494], [0.0, 0.0], [-0.18036977634145568, -0.062481923354647216], [0.0, 0.0], [-0.8789479740472248, -1.5223825482595243], [0.0, 0.0], [0.0006693370749475089, -0.0011593258211986229], [0.0, 0.0], [-1.882596316000878, 0.0], [0.0, 0.0], [-0.609837690289303, 0.0], [0.0, 0.0], [-0.1537080893756497, 0.26623022033296323], [0.0, 0.0], [0.4773221915862401, 0.8267462874074936], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.06914825814591032, -0.11976829636360516], [0.0, 0.0], [-0.6300149389339191, 1.0912178837609516], [0.0, 0.0], [-0.23613440677252967, 0.0], [0.0, 0.0], [1.9121340083647387, 0.0], [0.0, 0.0], [0.49310887614273985, -0.854089627142414], [0.0, 0.0], [-0.05967623950328607, -0.10336227882434038], [0.0, 0.0], [-0.4996655260554558, 0.43272303895934006], [0.0, 0.0], [-0.2876056531230825, -0.4981476037532095], [0.0, 0.0], [1.116016438587768, -1.932997173716086], [0.0, 0.0], [0.8520769726547112, 0.0], [0.0, 0.0], [-1.6344327781839731, 0.0], [0.0, 0.0], [0.39895874660678604, -0.6910168192469509], [0.0, 0.0], [0.15949326199504554, 0.2762504332403132], [0.0, 0.0], [0.5366408652438126, -0.4647446220100033], [0.0, 0.0], [0.6398999625531799, 1.1083392469035296], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-1.6467149271025314, 0.0], [0.0, 0.0], [-1.7089883061316202, 0.0], [0.0, 0.0], [-0.044594347727513105, 0.0772396759944464], [0.0, 0.0], [0.4213510886860522, 0.7298014934287024], [0.0, 0.0], [-0.44214596263666317, -2.2974578149444533], [0.0, 0.0], [0.9876114745252161, 1.7105932520156903], [0.0, 0.0], [0.8122195338805571, -1.4068054995810362], [0.0, 0.0], [0.3446011455336595, 0.0], [0.0, 0.0], [-0.7379876374911924, 0.0], [0.0, 0.0], [0.15686333614210254, -0.27169526804287697], [0.0, 0.0], [-1.0831631246515232, -1.8760935647814994], [0.0, 0.0], [1.0576702006791232, 0.36638770504556234], [0.0, 0.0], [-0.5031812570522012, -0.8715355026307878], [0.0, 0.0], [-0.5792683816802194, 1.0033222682883407], [0.0, 0.0], [0.5263157894736842, 0.0], [0.0, 0.0], [0.08036938345830649, 0.0], [0.0, 0.0], [-0.07886003723456397, 0.13658959117703826], [0.0, 0.0], [-0.008320877208337478, -0.014412182088382394], [0.0, 0.0], [1.3293613429120386, -0.531351089432687], [0.0, 0.0], [0.11736313170325506, 0.20327890704543541], [0.0, 0.0], [0.472771127048214, -0.8188636123991073], [0.0, 0.0], [-2.494126454455216, 0.0], [0.0, 0.0], [-0.8449272112832401, 0.0], [0.0, 0.0], [-0.5333096231344423, 0.9237193634342644], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.5231373504786204, 0.18122009407318745], [0.0, 0.0], [-0.43679526435076965, -0.7565515903610118], [0.0, 0.0], [-0.6621335057670075, 1.1468488733821571], [0.0, 0.0], [-0.0768867829136093, 0.0], [0.0, 0.0], [0.036967944358624716, 0.0], [0.0, 0.0], [0.4734410498449605, -0.8200239527202209], [0.0, 0.0], [0.5768193238335018, 0.9990803756671505], [0.0, 0.0], [0.16459613406125864, 0.8552666007705547], [0.0, 0.0], [-0.608537264748971, -1.0540174608442108], [0.0, 0.0], [0.2328100985898594, -0.4032389192727559], [0.0, 0.0], [0.3858736830130491, 0.0], [0.0, 0.0], [0.4883720930232558, 0.0], [0.0, 0.0], [0.1162162331944838, -0.20129242055711866], [0.0, 0.0], [0.929380794148921, 1.609734755044643], [0.0, 0.0], [-0.15285898122187302, 0.1323797609347505], [0.0, 0.0], [-0.4410603075975803, -0.7639388619609664], [0.0, 0.0], [-0.03478977052820349, 0.06025765013851079], [0.0, 0.0], [0.019305263460422363, 0.0], [0.0, 0.0], [-0.9592416536050232, 0.0], [0.0, 0.0], [-0.7356729132944902, 1.2742228635782704], [0.0, 0.0], [0.6094318410326867, 1.0555669124188525], [0.0, 0.0], [0.23131050102961248, -0.20032077005375096], [0.0, 0.0], [0.4053732179318263, 0.7021270094856142], [0.0, 0.0], [-0.3186778937778113, 0.551966303272207], [0.0, 0.0], [1.2909944487358056, 0.0], [0.0, 0.0], [-0.8636344438444622, 0.0], [0.0, 0.0], [-0.6344089537483387, 1.0988285406687366], [0.0, 0.0], [0.2075143391598224, 0.3594253787238923], [0.0, 0.0], [0.05217208851708617, 0.27109412414572215], [0.0, 0.0], [0.11516335992621968, 0.1994687905625541], [0.0, 0.0], [1.6747207937374373, -2.9007015032453194], [0.0, 0.0], [0.655094675848483, 0.0], [0.0, 0.0], [-0.3449415373637054, 0.0], [0.0, 0.0], [0.7923058944467425, -1.372314064318062], [0.0, 0.0], [-0.2932107409607961, -0.5078559006690158], [0.0, 0.0], [0.36829710552789696, 0.1275818598109748], [0.0, 0.0], [0.09179045210953522, 0.15898572670343286], [0.0, 0.0], [-0.4122006163564839, 0.713952410440637], [0.0, 0.0], [0.7163410470479792, 0.0], [0.0, 0.0], [-1.7660610242768369, 0.0], [0.0, 0.0], [0.010661015720043507, -0.018465420887405853], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.28133084337263436, 0.22149059748072938], [0.0, 0.0], [-0.43328255399414134, -0.7504673975510582], [0.0, 0.0], [-0.383232097730697, 0.6637774643607687], [0.0, 0.0], [-0.4567924732183544, 0.0], [0.0, 0.0], [0.6163484054954214, 0.0], [0.0, 0.0], [-1.273872164988652, 2.206411312108109], [0.0, 0.0], [-0.15155282340271506, -0.26249719016401607], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.07498805076930506, 0.12988311389299081], [0.0, 0.0], [0.4794067557187171, -0.8303568583965795], [0.0, 0.0], [-1.4646352610824727, 0.0], [0.0, 0.0], [-1.4746160504918695, 0.0], [0.0, 0.0], [0.4066628542202791, -0.7043607250604991], [0.0, 0.0], [-0.1443741264313225, -0.2500633222774233], [0.0, 0.0], [0.2999541404887322, 1.558607433801411], [0.0, 0.0], [-0.40004310755127825, -0.6928949874965548], [0.0, 0.0], [0.15218430195051227, -0.26359094309269065], [0.0, 0.0], [0.3788523317602772, 0.0], [0.0, 0.0], [1.1359730974794993, 0.0], [0.0, 0.0], [-0.4045684992842926, 0.7007331959022878], [0.0, 0.0], [-0.7324883388853468, -1.2687070189011505], [0.0, 0.0], [-0.45256282220142047, 0.39193090083481025], [0.0, 0.0], [-0.7111613771305577, -1.2317676375707773], [0.0, 0.0], [-0.3630884882137849, 0.6288877092296489], [0.0, 0.0], [-0.6806192702916769, 0.0], [0.0, 0.0], [-0.2894927648272546, 0.0], [0.0, 0.0], [0.07241054513407959, -0.1254187431759852], [0.0, 0.0], [-0.21227580801987656, -0.36767248470816316], [0.0, 0.0], [0.4083675170209616, -0.35365664382052686], [0.0, 0.0], [0.6802928595903003, 1.1783017968367204], [0.0, 0.0], [-0.26966732546912137, 0.467077508853731], [0.0, 0.0], [1.6872323826570583, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.22490373369161062, 0.3895446935658099], [0.0, 0.0], [-0.613640309672622, -1.0628561939252807], [0.0, 0.0], [0.15867345818984702, 0.824491474192413], [0.0, 0.0], [0.1684224211665077, 0.29171619059415527], [0.0, 0.0], [0.35444697268008907, -0.613920165270892], [0.0, 0.0], [1.1534606902864906, 0.0], [0.0, 0.0], [0.33508683799799144, 0.0], [0.0, 0.0], [-0.047615018639440045, 0.08247163148684929], [0.0, 0.0], [-0.7373247048545413, -1.2770838504837922], [0.0, 0.0], [0.8395756178243344, 0.2908375253735555], [0.0, 0.0], [-0.12384680198456886, -0.21450895339219533], [0.0, 0.0], [0.25673603473371615, -0.44467985629256435], [0.0, 0.0]], 'angles': [None, -0.3049917614261951, 0.0, None, -0.4913589630280068, None, -0.2361781914713149, -0.027421371421733946, -0.14751382926696147, -0.31814899364700566, -0.3425544638115229, 0.04363782555291113, -0.19322411785206042, -0.1455858625861807, -0.06621241443351814, -0.4327858429322587, -0.3358225425774322, -0.11409098521242804, -0.44599823192911614, -0.33904388342811204, 0.19112059215889865, 0.01955776978472225, -0.25, -0.06442723040256983, -0.4226424687323711, -0.34277641651292684, 0.005112298605505186, -0.4625500745620323, 0.1690347679735953, -0.37406028192499435, -0.36987895528224285, -0.10962226450433772, -0.39096502363731406, -0.2731410878715434, 0.0038028850549030324, -0.45870597559143145, -0.46172290426049356, -0.016457306054710817, -0.33766995655534837, -0.14812954096426853, -0.28118909859633023, -0.24161814864602718, -0.14960889793882456, -0.34106094201376064, -0.45474754940711287, -0.4582726706800347, -0.27198319018085865, -0.228620149717848, -0.4815343197759225, 0.006091531247461479, -0.05214486839695805, -0.21144861043913304, -0.3714211143222278, -0.3036082928509591, 0.011202040683802882, -0.48837741333283996, -0.4387058881332519, -0.052116730370384355, 0.22923223269557405, -0.2064700107378237, -0.48561840215656027, -0.23629525124256295, -0.21606004827588546, 0.26683292800616304, 0.10102335885664737, -0.06647889329635805, -0.44070010663021103, -0.16845068460335758, 0.2785297790582617, -0.2610140762776451, 0.2355752961346971, -0.10840244349940362, -0.41372468358517245, 0.04823363060998307, -0.2973618792675128, -0.02073880417667363, -0.3863352838949902, -0.14099876229830327, -0.1225293311963523, -0.39809848350496047, -0.3099376407355002, -0.30300839100126886, -0.36452598536606257, -0.24011334246297344, -0.14619689374679526, -0.0917915289680865, -0.21069213626532404, -0.4362418156947895, -0.2887823762949241, -0.15584441894738335, -0.4998201079512969, 0.2026798154607982, -0.2884526149626627, -0.10815443500648025, -0.08481675656137358, -0.26085068964870833, -0.02653250769820075, -0.4164723788621554, -0.014035067145101086, -0.13453309827706955, -0.13279631508713458, -0.3987861685297474, 0.22350104604157012, -0.13963846913668376, -0.40291371926657715, -0.29747625052948534, -0.08382944561512493, -0.4682109814613777, -0.25823276604185147, -0.3240562965402082, -0.13639242634631132, -0.4903853025206142, -0.23565333789340326, -0.3611748397636897, -0.14483669152632536, -0.3979399186718554, -0.18944803714384606, -0.36652355465691216, -0.1257887280989211, -0.27786852731686307, -0.43748928546528004, -0.19551753757728826, -0.4744494950829768, -0.43047107627208236, -0.07778378134007138, -0.18061572273229695, -0.05364797834113996, -0.04956954269846656, -0.2943487517018459, -0.12889987699741554, -0.302142616841305, -0.2945327312954436, 0.00928257112897322, -0.24759116142861975, -0.47933329149098314, -0.09434089684361956, -0.4485611055189166, -0.43490755308479123, -0.17082449928832105, -0.404298016823981, -0.36940178284597097, -0.4830578564481364, -0.4336881348718034, -0.17275122518516858, -0.3451923037322881, -0.336277433439342, -0.1696612938545768, 0.2160593987442882, -0.0634836054293717, -0.06690009847564707, -0.061432307409051895, -0.3027158413942098, -0.3046261340968379, -0.12596163206008243, -0.402665962761097, -0.3889156637261268, -0.1371823539332136, 0.057532207874245504, -0.2536825395709838, 0.21733085482271491, -0.49790547813457586, -0.16990307718677666, -0.37298296303969036, -0.1482144067935325, -0.3261964388653778, -0.42040347824351554, -0.3723863351774773, -0.4156172097172317, -0.35023141611424036, -0.4298490415680558, 0.1831664896470325, -0.4458975743000384, 0.0421291784712246, -0.32342647752478265, -0.4605245535427747, -0.2870516167515134, -0.2103157388689425, -0.41439182508777705, -0.23737495258761496, -0.03428992206774557, -0.4902139956931298, -0.220927869325196, -0.3423480776305973, 0.019139348999414316, 0.28035730176774465, -0.3807858991301657, -0.3556579186131949, 0.24630370480115574, -0.45343754518529644, -0.2643362282325476, -0.10922653314930775, -0.2601824149014182, -0.03643797793628458, -0.08877033833449331, -0.49816860804705054, -0.43417404414764177, -0.46155829213617133, 0.05224293230196654, -0.15991567310943708, -0.06454857415505423, -0.38057496013247205, -0.20675523933699633, -0.11821083721396286, 0.1939027853317239, -0.20231749538440152, -0.3210083653452343, -0.10210440070181688, -0.10877566087462374, -0.30040014158807193, -0.4968914744046429, -0.16557095559501564, -0.08223527401122342, -0.24117732315394358, -0.01564416016751893, -0.2783571377221319, -0.05406670116847187, -0.40765157770390453, -0.40995309598981766, -0.4159994137601547, -0.060413361842394396, -0.13078555925783295, -0.18102039672988565, -0.09432435713012245, 0.05190050313568598, -0.29806675430711627, -0.3853864795206942, -0.0923879407668333, -0.37677066200111414, -0.07888812699194102, -0.1407427189245722, -0.407441595756189, -0.3900673592237855, -0.21052138740231693, -0.3731637143982735, -0.13527824057156854, -0.306129048986239, -0.015004333442508426, -0.08502144890796164, -0.10459620918912553, -0.09477826964283527, 0.25447852353496475, -0.1369674098102302, -0.31617479933259707, -0.07954108558380431, -0.21963897484700431, -0.4123696909282374, -0.27303041767973524, -0.3708050869999742, -0.4969636108606117, -0.27364209630093567, -0.33669720593155433, 0.01328762238627659, -0.33951575400477274, -0.0631086241864287, -0.42520060230645185, -0.15678022859476634, -0.3544859338143445, -0.4079493523581594, -0.35024864489887986, -0.11906490331589928, -0.22183829808970681, -0.34947020104213317, 0.18701216444467336, -0.19182090247932534, 0.21862738128587378, 0.06481253892649018, -0.3964119387358406, -0.1415812697478984, -0.23351483051277142, -0.4165601383546398, -0.004137067542361407, 0.1918089575338521, -0.334596876052987, -0.12976295593929071, -0.40395087478187597, -0.014111342256625211, 0.14158858478309358, -0.26579623278931225, -0.49941473775196654, -0.08465765735423722, 0.17285929634560335, 0.19850774932475992, -0.21909937568710788, -0.2484637120888258, 0.020967868615676885, -0.016904119420214938, -0.46828607871528294, -0.3210637250038273, 0.1927115595673303, -0.19688895466903059, -0.48428652567885566, -0.41496988117340894, -0.15465572326498084, -0.38078067419568745, -0.38195167417819215, -0.4829558053178954, -0.4525127557477043, -0.09021118344071169, -0.4781855859072846, -0.15216416778313915, -0.451377729539957, -0.10309490259794891, -0.3753431173679225], 'char_orbit_index': 18, 'conrey_index': 417, 'dual_conrey_index': 625, 'dual_embedding_index': 2, 'dual_embedding_m': 4, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 0.5352331346596348, 'embedding_root_real': -0.30901699437494745, 'hecke_orbit': 10, 'hecke_orbit_code': 40533564910994864, 'label': '1456.2.r.j.417.2', 'level': 1456, 'weight': 2}
• mf_newspaces •

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

  
  {'Nk2': 5824, 'analytic_conductor': 11.626218534298424, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 18, 'char_orbit_label': 'r', 'char_order': 3, 'char_parity': 1, 'char_values': [1456, 3, [911, 1093, 1249, 561], [3, 3, 2, 3]], 'conrey_index': 417, 'cusp_dim': 424, 'dim': 96, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 11], 'hecke_orbit_code': 1168264660400, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 6, 8, 8, 8, 10, 14, 16], 'label': '1456.2.r', 'level': 1456, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 13], 'level_radical': 182, 'mf_dim': 472, 'mf_new_dim': 96, 'num_forms': 18, 'prim_orbit_index': 3, 'relative_dim': 48, 'sturm_bound': 448, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, 0, 0, 0, 0, 0, -48, 0, 4, 0, 0, 0, 0, 0, 0, 0, -12, 0, 8, 0, 16, 0, -56, 0, 0, 0, 32, 0, 12, 0, -8, 0, 36, 0, -8, 0, 0, 0, 0, 0, -8, 0, -8, 0, 8, 0, 8, 0, -20, 0, -12, 0, -24, 0, 0, 0, -36, 0, -4, 0, -76, 0, 0, 0, 8, 0, -32, 0, -8, 0, 16, 0, 36, 0, 4, 0, 20, 0, -40, 0, 88, 0, -32, 0, 36, 0, 8, 0, 0, 0, 16, 0, 12, 0, -16, 0, -112, 0, 0, 0, 0, 0, 28, 0, -8, 0, 8, 0, -24, 0, 56, 0, -56, 0, 0, 0, -36, 0, -56, 0, 76, 0, -48, 0, 48, 0, -28, 0, 12, 0, 68, 0, 40, 0, -32, 0, 0, 0, 48, 0, 20, 0, -40, 0, -24, 0, 16, 0, 28, 0, -48, 0, -56, 0, -16, 0, 16, 0, 8, 0, 32, 0, -16, 0, -88, 0, 96, 0, -104, 0, -84, 0, -16, 0, 8, 0, 32, 0, -16, 0, -64, 0, 20, 0, 36, 0, -48, 0, 20, 0, -24, 0, 48, 0, -64, 0, 24, 0, 8, 0, 56, 0, 16, 0, 12, 0, -8, 0, -40, 0, 88, 0, 56, 0, 72, 0, -64, 0, -4, 0, -104, 0, 184, 0, -28, 0, 48, 0, -152, 0, -12, 0, 48, 0, 160, 0, 96, 0, -32, 0, 80, 0, 88, 0, 0, 0, 0, 0, 64, 0, 96, 0, -56, 0, -24, 0, 28, 0, -64, 0, 104, 0, -144, 0, 184, 0, 40, 0, 56, 0, 12, 0, -4, 0, -44, 0, 136, 0, 0, 0, -60, 0, -32, 0, 20, 0, -28, 0, 12, 0, -16, 0, 72, 0, -32, 0, -48, 0, -64, 0, -20, 0, 32, 0, 32, 0, -96, 0, -56, 0, 16, 0, -52, 0, -24, 0, 0, 0, -96, 0, -16, 0, 0, 0, 108, 0, 76, 0, -20, 0, -72, 0, -8, 0, 128, 0, 100, 0, 28, 0, -48, 0, 24, 0, 0, 0, 0, 0, 0, 0, -48, 0, -60, 0, 24, 0, 4, 0, -64, 0, -176, 0, 96, 0, -180, 0, -72, 0, -248, 0, -40, 0, -56, 0, -8, 0, 0, 0, -56, 0, 56, 0, -8, 0, -144, 0, -56, 0, 192, 0, -184, 0, -96, 0, -16, 0, -68, 0, 104, 0, 0, 0, -144, 0, -80, 0, 40, 0, 136, 0, -4, 0, 16, 0, 60, 0, 0, 0, 112, 0, -164, 0, 20, 0, 48, 0, 0, 0, 88, 0, 152, 0, 256, 0, -16, 0, -36, 0, 140, 0, 148, 0, 80, 0, -80, 0, 128, 0, 100, 0, 32, 0, 0, 0, -40, 0, 64, 0, 0, 0, 120, 0, -28, 0, 68, 0, -76, 0, -160, 0, 40, 0, -264, 0, 296, 0, 132, 0, 0, 0, -76, 0, -56, 0, -48, 0, -192, 0, -48, 0, -156, 0, -40, 0, -116, 0, -20, 0, -128, 0, 120, 0, -112, 0, 0, 0, -64, 0, 268, 0, 24, 0, -184, 0, -48, 0, -112, 0, -16, 0, 36, 0, 64, 0, -184, 0, -40, 0, 256, 0, 0, 0, 104, 0, 92, 0, -212, 0, -64, 0, -276, 0, 32, 0, 8, 0, 108, 0, 108, 0, 16, 0, -136, 0, -104, 0, -64, 0, 64, 0, 4, 0, 16, 0, -248, 0, -36, 0, 48, 0, -144, 0, 296, 0, -16, 0, -108, 0, 180, 0, 72, 0, 12, 0, 328, 0, 104, 0, -76, 0, -8, 0, 148, 0, -40, 0, 68, 0, -48, 0, 216, 0, 32, 0, -244, 0, -96, 0, 0, 0, 24, 0, 128, 0, -224, 0, 120, 0, -80, 0, 72, 0, -48, 0, -192, 0, 32, 0, -424, 0, -44, 0, -80, 0, 20, 0, -120, 0, 44, 0, -344, 0, 144, 0, 36, 0, 80, 0, -200, 0, 104, 0, -16, 0, -112, 0, -136, 0, -48, 0, 32, 0, 88, 0, 156, 0, 168, 0, -200, 0, 48, 0, 188, 0, 68, 0, 244, 0, 96, 0, -152, 0, 0, 0, 232, 0, 0, 0, -124, 0, 44, 0, -88, 0, -16, 0, -160, 0, 336, 0, -88, 0, -92, 0, 72, 0, -64, 0, 96, 0, 48, 0, 0, 0, -184, 0, 136, 0, -56, 0, 4, 0, -40, 0, 472, 0, 120, 0, 256, 0, 96, 0, 656, 0, 44, 0, 52, 0, -80, 0, 40, 0, 80, 0, 100, 0, 16, 0, 240, 0, 176, 0, -160, 0, -40, 0, 132, 0, -16, 0, 296, 0, 48, 0, -12, 0, 144, 0, 384, 0, 0, 0, -228, 0, -28, 0, 52, 0, -36, 0, 160, 0, -160, 0, 228, 0, 8, 0, -176, 0, 0, 0, -24, 0, -272, 0, -320, 0, -184, 0, -4, 0, -32, 0, -128, 0, -8, 0, 24, 0, -144, 0, -164, 0, -56, 0, 20, 0, -72, 0, -88, 0, 320, 0, -496, 0, -36, 0, -248, 0, -208, 0, 224, 0, 72, 0, 0, 0, 40, 0, -236, 0, 0, 0, 56, 0, -24, 0, 60, 0, -176, 0, 144, 0, 92, 0, -16, 0, -24, 0, -124, 0, -24, 0, -200, 0, -160, 0, 68, 0, 272, 0, -260, 0, -8, 0, 148, 0, -176, 0, 120, 0, -112, 0, -104, 0, -128, 0, 368, 0, 108, 0, -400, 0, -48, 0, -272, 0, 120, 0, 96, 0, -16, 0, 36, 0, 416, 0, -248, 0, -36, 0, -16, 0, -72, 0, 80, 0, 136, 0, 120, 0, 128, 0, -20, 0, 80, 0, 204, 0, 72, 0, 28, 0, 240, 0, 320, 0, 24, 0, -20, 0, -184, 0, -288, 0, 0, 0, -368, 0, -200, 0, -56, 0, 88, 0, -132, 0, -108, 0, -44, 0, -112, 0, 304, 0, -8, 0, 172, 0, -216, 0, 48, 0, 40, 0, -160, 0, -384, 0, -72, 0, 16, 0, 76, 0, 0, 0, 120, 0, 320, 0, 704, 0, -60, 0, 240, 0], 'weight': 2, 'weight_parity': 1}
• mf_twists_cc •

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

  
  
  • id: 47015008
    {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 417, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40533564910994864, 'source_is_minimal': False, 'source_label': '1456.2.r.j.417.2', 'source_level': 1456, 'target_conrey_index': 417, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40533564910994864, 'target_is_minimal': False, 'target_label': '1456.2.r.j.417.2', 'target_level': 1456, 'twist_class_label': '91.2.e.b.53.1', 'twist_class_level': 91, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
  • id: 47015009
    {'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 417, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40533564910994864, 'source_is_minimal': False, 'source_label': '1456.2.r.j.417.2', 'source_level': 1456, 'target_conrey_index': 53, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538831963, 'target_is_minimal': True, 'target_label': '91.2.e.b.53.1', 'target_level': 91, 'twist_class_label': '91.2.e.b.53.1', 'twist_class_level': 91, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
  • id: 47015010
    {'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 417, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40533564910994864, 'source_is_minimal': False, 'source_label': '1456.2.r.j.417.2', 'source_level': 1456, 'target_conrey_index': 625, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40533564910994864, 'target_is_minimal': False, 'target_label': '1456.2.r.j.625.2', 'target_level': 1456, 'twist_class_label': '91.2.e.b.53.1', 'twist_class_level': 91, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
  • id: 47015011
    {'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 417, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40533564910994864, 'source_is_minimal': False, 'source_label': '1456.2.r.j.417.2', 'source_level': 1456, 'target_conrey_index': 235, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007817763586867, 'target_is_minimal': False, 'target_label': '819.2.j.c.235.2', 'target_level': 819, 'twist_class_label': '91.2.e.b.53.1', 'twist_class_level': 91, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
  • id: 47015012
    {'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 417, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40533564910994864, 'source_is_minimal': False, 'source_label': '1456.2.r.j.417.2', 'source_level': 1456, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014398543037053, 'target_is_minimal': False, 'target_label': '637.2.a.e.1.2', 'target_level': 637, 'twist_class_label': '91.2.e.b.53.1', 'twist_class_level': 91, 'twisting_char_label': '28.3', 'twisting_conrey_index': 3, 'weight': 2}
  • id: 47015013
    {'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 417, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40533564910994864, 'source_is_minimal': False, 'source_label': '1456.2.r.j.417.2', 'source_level': 1456, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22517998170407549, 'target_is_minimal': False, 'target_label': '637.2.a.f.1.2', 'target_level': 637, 'twist_class_label': '91.2.e.b.53.1', 'twist_class_level': 91, 'twisting_char_label': '28.11', 'twisting_conrey_index': 11, 'weight': 2}
  • id: 47015014
    {'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 417, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40533564910994864, 'source_is_minimal': False, 'source_label': '1456.2.r.j.417.2', 'source_level': 1456, 'target_conrey_index': 79, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525472303055485, 'target_is_minimal': False, 'target_label': '637.2.e.h.79.1', 'target_level': 637, 'twist_class_label': '91.2.e.b.53.1', 'twist_class_level': 91, 'twisting_char_label': '28.19', 'twisting_conrey_index': 19, 'weight': 2}
  • id: 47015015
    {'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 417, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40533564910994864, 'source_is_minimal': False, 'source_label': '1456.2.r.j.417.2', 'source_level': 1456, 'target_conrey_index': 79, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538831963, 'target_is_minimal': True, 'target_label': '91.2.e.b.79.1', 'target_level': 91, 'twist_class_label': '91.2.e.b.53.1', 'twist_class_level': 91, 'twisting_char_label': '28.23', 'twisting_conrey_index': 23, 'weight': 2}
  • id: 47015016
    {'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 417, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40533564910994864, 'source_is_minimal': False, 'source_label': '1456.2.r.j.417.2', 'source_level': 1456, 'target_conrey_index': 508, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525472303055485, 'target_is_minimal': False, 'target_label': '637.2.e.h.508.1', 'target_level': 637, 'twist_class_label': '91.2.e.b.53.1', 'twist_class_level': 91, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 2}
  • id: 47015017
    {'conductor': 52, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 417, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40533564910994864, 'source_is_minimal': False, 'source_label': '1456.2.r.j.417.2', 'source_level': 1456, 'target_conrey_index': 508, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511073793574047, 'target_is_minimal': False, 'target_label': '1183.2.e.d.508.2', 'target_level': 1183, 'twist_class_label': '91.2.e.b.53.1', 'twist_class_level': 91, 'twisting_char_label': '52.51', 'twisting_conrey_index': 51, 'weight': 2}
  • id: 47015018
    {'conductor': 84, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 417, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40533564910994864, 'source_is_minimal': False, 'source_label': '1456.2.r.j.417.2', 'source_level': 1456, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 94575592208340581, 'target_is_minimal': False, 'target_label': '5733.2.a.v.1.1', 'target_level': 5733, 'twist_class_label': '91.2.e.b.53.1', 'twist_class_level': 91, 'twisting_char_label': '84.11', 'twisting_conrey_index': 11, 'weight': 2}
  • id: 47015019
    {'conductor': 84, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 417, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40533564910994864, 'source_is_minimal': False, 'source_label': '1456.2.r.j.417.2', 'source_level': 1456, 'target_conrey_index': 352, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007817763586867, 'target_is_minimal': False, 'target_label': '819.2.j.c.352.2', 'target_level': 819, 'twist_class_label': '91.2.e.b.53.1', 'twist_class_level': 91, 'twisting_char_label': '84.23', 'twisting_conrey_index': 23, 'weight': 2}
  • id: 47015020
    {'conductor': 84, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 417, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40533564910994864, 'source_is_minimal': False, 'source_label': '1456.2.r.j.417.2', 'source_level': 1456, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 99079191835711077, 'target_is_minimal': False, 'target_label': '5733.2.a.w.1.1', 'target_level': 5733, 'twist_class_label': '91.2.e.b.53.1', 'twist_class_level': 91, 'twisting_char_label': '84.59', 'twisting_conrey_index': 59, 'weight': 2}
  • id: 47015021
    {'conductor': 364, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 417, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40533564910994864, 'source_is_minimal': False, 'source_label': '1456.2.r.j.417.2', 'source_level': 1456, 'target_conrey_index': 170, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511073793574047, 'target_is_minimal': False, 'target_label': '1183.2.e.d.170.2', 'target_level': 1183, 'twist_class_label': '91.2.e.b.53.1', 'twist_class_level': 91, 'twisting_char_label': '364.51', 'twisting_conrey_index': 51, 'weight': 2}
  • id: 47015022
    {'conductor': 364, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 417, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40533564910994864, 'source_is_minimal': False, 'source_label': '1456.2.r.j.417.2', 'source_level': 1456, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 112589990717825113, 'target_is_minimal': False, 'target_label': '8281.2.a.z.1.1', 'target_level': 8281, 'twist_class_label': '91.2.e.b.53.1', 'twist_class_level': 91, 'twisting_char_label': '364.207', 'twisting_conrey_index': 207, 'weight': 2}
  • id: 47015023
    {'conductor': 364, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 417, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40533564910994864, 'source_is_minimal': False, 'source_label': '1456.2.r.j.417.2', 'source_level': 1456, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 117093590345195609, 'target_is_minimal': False, 'target_label': '8281.2.a.ba.1.1', 'target_level': 8281, 'twist_class_label': '91.2.e.b.53.1', 'twist_class_level': 91, 'twisting_char_label': '364.311', 'twisting_conrey_index': 311, 'weight': 2}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 1965625
    {'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 40533564910994864, 'p': 2}
  • id: 1965626
    {'charpoly_factorization': [[[25, 0, 5, 0, 1], 1]], 'hecke_orbit_code': 40533564910994864, 'p': 3}
  • id: 1965627
    {'charpoly_factorization': [[[25, 0, 5, 0, 1], 1]], 'hecke_orbit_code': 40533564910994864, 'p': 5}
  • id: 1965628
    {'charpoly_factorization': [[[7, -4, 1], 2]], 'hecke_orbit_code': 40533564910994864, 'p': 7}
  • id: 1965629
    {'charpoly_factorization': [[[9, 3, 1], 2]], 'hecke_orbit_code': 40533564910994864, 'p': 11}
  • id: 1965630
    {'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 40533564910994864, 'p': 13}
  • id: 1965631
    {'charpoly_factorization': [[[121, 66, 47, -6, 1], 1]], 'hecke_orbit_code': 40533564910994864, 'p': 17}
  • id: 1965632
    {'charpoly_factorization': [[[9, -3, 1], 2]], 'hecke_orbit_code': 40533564910994864, 'p': 19}
  • id: 1965633
    {'charpoly_factorization': [[[961, 372, 113, 12, 1], 1]], 'hecke_orbit_code': 40533564910994864, 'p': 23}
  • id: 1965634
    {'charpoly_factorization': [[[-20, 0, 1], 2]], 'hecke_orbit_code': 40533564910994864, 'p': 29}
  • id: 1965635
    {'charpoly_factorization': [[[25, -5, 1], 2]], 'hecke_orbit_code': 40533564910994864, 'p': 31}
  • id: 1965636
    {'charpoly_factorization': [[[1681, 164, 57, -4, 1], 1]], 'hecke_orbit_code': 40533564910994864, 'p': 37}
  • id: 1965637
    {'charpoly_factorization': [[[-20, 0, 1], 2]], 'hecke_orbit_code': 40533564910994864, 'p': 41}
  • id: 1965638
    {'charpoly_factorization': [[[-8, 1], 4]], 'hecke_orbit_code': 40533564910994864, 'p': 43}
  • id: 1965639
    {'charpoly_factorization': [[[121, -66, 47, 6, 1], 1]], 'hecke_orbit_code': 40533564910994864, 'p': 47}
  • id: 1965640
    {'charpoly_factorization': [[[121, 66, 47, -6, 1], 1]], 'hecke_orbit_code': 40533564910994864, 'p': 53}
  • id: 1965641
    {'charpoly_factorization': [[[121, 66, 47, -6, 1], 1]], 'hecke_orbit_code': 40533564910994864, 'p': 59}
  • id: 1965642
    {'charpoly_factorization': [[[9, 3, 1], 2]], 'hecke_orbit_code': 40533564910994864, 'p': 61}
  • id: 1965643
    {'charpoly_factorization': [[[9, 3, 1], 2]], 'hecke_orbit_code': 40533564910994864, 'p': 67}
  • id: 1965644
    {'charpoly_factorization': [[[-80, 0, 1], 2]], 'hecke_orbit_code': 40533564910994864, 'p': 71}
  • id: 1965645
    {'charpoly_factorization': [[[841, -232, 93, 8, 1], 1]], 'hecke_orbit_code': 40533564910994864, 'p': 73}
  • id: 1965646
    {'charpoly_factorization': [[[841, 232, 93, -8, 1], 1]], 'hecke_orbit_code': 40533564910994864, 'p': 79}
  • id: 1965647
    {'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 40533564910994864, 'p': 83}
  • id: 1965648
    {'charpoly_factorization': [[[25, 0, 5, 0, 1], 1]], 'hecke_orbit_code': 40533564910994864, 'p': 89}
  • id: 1965649
    {'charpoly_factorization': [[[-164, 8, 1], 2]], 'hecke_orbit_code': 40533564910994864, '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': 18, 'hecke_orbit': 10, 'label': '1456.2.r.j', 'level': 1456, 'portrait': 'data:image/png;base64,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', 'weight': 2}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 54046333
    {'hecke_orbit_code': 40533564910994864, 'n': 1, 'trace_an': 4}
  • id: 54046334
    {'hecke_orbit_code': 40533564910994864, 'n': 2, 'trace_an': 0}
  • id: 54046335
    {'hecke_orbit_code': 40533564910994864, 'n': 3, 'trace_an': 0}
  • id: 54046336
    {'hecke_orbit_code': 40533564910994864, 'n': 4, 'trace_an': 0}
  • id: 54046337
    {'hecke_orbit_code': 40533564910994864, 'n': 5, 'trace_an': 0}
  • id: 54046338
    {'hecke_orbit_code': 40533564910994864, 'n': 6, 'trace_an': 0}
  • id: 54046339
    {'hecke_orbit_code': 40533564910994864, 'n': 7, 'trace_an': 8}
  • id: 54046340
    {'hecke_orbit_code': 40533564910994864, 'n': 8, 'trace_an': 0}
  • id: 54046341
    {'hecke_orbit_code': 40533564910994864, 'n': 9, 'trace_an': -4}
  • id: 54046342
    {'hecke_orbit_code': 40533564910994864, 'n': 10, 'trace_an': 0}
  • id: 54046343
    {'hecke_orbit_code': 40533564910994864, 'n': 11, 'trace_an': -6}
  • id: 54046344
    {'hecke_orbit_code': 40533564910994864, 'n': 12, 'trace_an': 0}
  • id: 54046345
    {'hecke_orbit_code': 40533564910994864, 'n': 13, 'trace_an': -4}
  • id: 54046346
    {'hecke_orbit_code': 40533564910994864, 'n': 14, 'trace_an': 0}
  • id: 54046347
    {'hecke_orbit_code': 40533564910994864, 'n': 15, 'trace_an': 20}
  • id: 54046348
    {'hecke_orbit_code': 40533564910994864, 'n': 16, 'trace_an': 0}
  • id: 54046349
    {'hecke_orbit_code': 40533564910994864, 'n': 17, 'trace_an': 6}
  • id: 54046350
    {'hecke_orbit_code': 40533564910994864, 'n': 18, 'trace_an': 0}
  • id: 54046351
    {'hecke_orbit_code': 40533564910994864, 'n': 19, 'trace_an': 6}
  • id: 54046352
    {'hecke_orbit_code': 40533564910994864, 'n': 20, 'trace_an': 0}
  • id: 54046353
    {'hecke_orbit_code': 40533564910994864, 'n': 21, 'trace_an': 0}
  • id: 54046354
    {'hecke_orbit_code': 40533564910994864, 'n': 22, 'trace_an': 0}
  • id: 54046355
    {'hecke_orbit_code': 40533564910994864, 'n': 23, 'trace_an': -12}
  • id: 54046356
    {'hecke_orbit_code': 40533564910994864, 'n': 24, 'trace_an': 0}
  • id: 54046357
    {'hecke_orbit_code': 40533564910994864, 'n': 25, 'trace_an': 0}
  • id: 54046358
    {'hecke_orbit_code': 40533564910994864, 'n': 26, 'trace_an': 0}
  • id: 54046359
    {'hecke_orbit_code': 40533564910994864, 'n': 27, 'trace_an': 0}
  • id: 54046360
    {'hecke_orbit_code': 40533564910994864, 'n': 28, 'trace_an': 0}
  • id: 54046361
    {'hecke_orbit_code': 40533564910994864, 'n': 29, 'trace_an': 0}
  • id: 54046362
    {'hecke_orbit_code': 40533564910994864, 'n': 30, 'trace_an': 0}
  • id: 54046363
    {'hecke_orbit_code': 40533564910994864, 'n': 31, 'trace_an': 10}
  • id: 54046364
    {'hecke_orbit_code': 40533564910994864, 'n': 32, 'trace_an': 0}
  • id: 54046365
    {'hecke_orbit_code': 40533564910994864, 'n': 33, 'trace_an': 0}
  • id: 54046366
    {'hecke_orbit_code': 40533564910994864, 'n': 34, 'trace_an': 0}
  • id: 54046367
    {'hecke_orbit_code': 40533564910994864, 'n': 35, 'trace_an': 0}
  • id: 54046368
    {'hecke_orbit_code': 40533564910994864, 'n': 36, 'trace_an': 0}
  • id: 54046369
    {'hecke_orbit_code': 40533564910994864, 'n': 37, 'trace_an': 4}
  • id: 54046370
    {'hecke_orbit_code': 40533564910994864, 'n': 38, 'trace_an': 0}
  • id: 54046371
    {'hecke_orbit_code': 40533564910994864, 'n': 39, 'trace_an': 0}
  • id: 54046372
    {'hecke_orbit_code': 40533564910994864, 'n': 40, 'trace_an': 0}
  • id: 54046373
    {'hecke_orbit_code': 40533564910994864, 'n': 41, 'trace_an': 0}
  • id: 54046374
    {'hecke_orbit_code': 40533564910994864, 'n': 42, 'trace_an': 0}
  • id: 54046375
    {'hecke_orbit_code': 40533564910994864, 'n': 43, 'trace_an': 32}
  • id: 54046376
    {'hecke_orbit_code': 40533564910994864, 'n': 44, 'trace_an': 0}
  • id: 54046377
    {'hecke_orbit_code': 40533564910994864, 'n': 45, 'trace_an': 0}
  • id: 54046378
    {'hecke_orbit_code': 40533564910994864, 'n': 46, 'trace_an': 0}
  • id: 54046379
    {'hecke_orbit_code': 40533564910994864, 'n': 47, 'trace_an': -6}
  • id: 54046380
    {'hecke_orbit_code': 40533564910994864, 'n': 48, 'trace_an': 0}
  • id: 54046381
    {'hecke_orbit_code': 40533564910994864, 'n': 49, 'trace_an': 4}
  • id: 54046382
    {'hecke_orbit_code': 40533564910994864, 'n': 50, 'trace_an': 0}
  • id: 54046383
    {'hecke_orbit_code': 40533564910994864, 'n': 51, 'trace_an': -20}
  • id: 54046384
    {'hecke_orbit_code': 40533564910994864, 'n': 52, 'trace_an': 0}
  • id: 54046385
    {'hecke_orbit_code': 40533564910994864, 'n': 53, 'trace_an': 6}
  • id: 54046386
    {'hecke_orbit_code': 40533564910994864, 'n': 54, 'trace_an': 0}
  • id: 54046387
    {'hecke_orbit_code': 40533564910994864, 'n': 55, 'trace_an': 0}
  • id: 54046388
    {'hecke_orbit_code': 40533564910994864, 'n': 56, 'trace_an': 0}
  • id: 54046389
    {'hecke_orbit_code': 40533564910994864, 'n': 57, 'trace_an': 0}
  • id: 54046390
    {'hecke_orbit_code': 40533564910994864, 'n': 58, 'trace_an': 0}
  • id: 54046391
    {'hecke_orbit_code': 40533564910994864, 'n': 59, 'trace_an': 6}
  • id: 54046392
    {'hecke_orbit_code': 40533564910994864, 'n': 60, 'trace_an': 0}
  • id: 54046393
    {'hecke_orbit_code': 40533564910994864, 'n': 61, 'trace_an': -6}
  • id: 54046394
    {'hecke_orbit_code': 40533564910994864, 'n': 62, 'trace_an': 0}
  • id: 54046395
    {'hecke_orbit_code': 40533564910994864, 'n': 63, 'trace_an': -20}
  • id: 54046396
    {'hecke_orbit_code': 40533564910994864, 'n': 64, 'trace_an': 0}
  • id: 54046397
    {'hecke_orbit_code': 40533564910994864, 'n': 65, 'trace_an': 0}
  • id: 54046398
    {'hecke_orbit_code': 40533564910994864, 'n': 66, 'trace_an': 0}
  • id: 54046399
    {'hecke_orbit_code': 40533564910994864, 'n': 67, 'trace_an': -6}
  • id: 54046400
    {'hecke_orbit_code': 40533564910994864, 'n': 68, 'trace_an': 0}
  • id: 54046401
    {'hecke_orbit_code': 40533564910994864, 'n': 69, 'trace_an': 20}
  • id: 54046402
    {'hecke_orbit_code': 40533564910994864, 'n': 70, 'trace_an': 0}
  • id: 54046403
    {'hecke_orbit_code': 40533564910994864, 'n': 71, 'trace_an': 0}
  • id: 54046404
    {'hecke_orbit_code': 40533564910994864, 'n': 72, 'trace_an': 0}
  • id: 54046405
    {'hecke_orbit_code': 40533564910994864, 'n': 73, 'trace_an': -8}
  • id: 54046406
    {'hecke_orbit_code': 40533564910994864, 'n': 74, 'trace_an': 0}
  • id: 54046407
    {'hecke_orbit_code': 40533564910994864, 'n': 75, 'trace_an': 0}
  • id: 54046408
    {'hecke_orbit_code': 40533564910994864, 'n': 76, 'trace_an': 0}
  • id: 54046409
    {'hecke_orbit_code': 40533564910994864, 'n': 77, 'trace_an': 6}
  • id: 54046410
    {'hecke_orbit_code': 40533564910994864, 'n': 78, 'trace_an': 0}
  • id: 54046411
    {'hecke_orbit_code': 40533564910994864, 'n': 79, 'trace_an': 8}
  • id: 54046412
    {'hecke_orbit_code': 40533564910994864, 'n': 80, 'trace_an': 0}
  • id: 54046413
    {'hecke_orbit_code': 40533564910994864, 'n': 81, 'trace_an': 22}
  • id: 54046414
    {'hecke_orbit_code': 40533564910994864, 'n': 82, 'trace_an': 0}
  • id: 54046415
    {'hecke_orbit_code': 40533564910994864, 'n': 83, 'trace_an': 0}
  • id: 54046416
    {'hecke_orbit_code': 40533564910994864, 'n': 84, 'trace_an': 0}
  • id: 54046417
    {'hecke_orbit_code': 40533564910994864, 'n': 85, 'trace_an': 40}
  • id: 54046418
    {'hecke_orbit_code': 40533564910994864, 'n': 86, 'trace_an': 0}
  • id: 54046419
    {'hecke_orbit_code': 40533564910994864, 'n': 87, 'trace_an': -20}
  • id: 54046420
    {'hecke_orbit_code': 40533564910994864, 'n': 88, 'trace_an': 0}
  • id: 54046421
    {'hecke_orbit_code': 40533564910994864, 'n': 89, 'trace_an': 0}
  • id: 54046422
    {'hecke_orbit_code': 40533564910994864, 'n': 90, 'trace_an': 0}
  • id: 54046423
    {'hecke_orbit_code': 40533564910994864, 'n': 91, 'trace_an': -8}
  • id: 54046424
    {'hecke_orbit_code': 40533564910994864, 'n': 92, 'trace_an': 0}
  • id: 54046425
    {'hecke_orbit_code': 40533564910994864, 'n': 93, 'trace_an': 0}
  • id: 54046426
    {'hecke_orbit_code': 40533564910994864, 'n': 94, 'trace_an': 0}
  • id: 54046427
    {'hecke_orbit_code': 40533564910994864, 'n': 95, 'trace_an': 0}
  • id: 54046428
    {'hecke_orbit_code': 40533564910994864, 'n': 96, 'trace_an': 0}
  • id: 54046429
    {'hecke_orbit_code': 40533564910994864, 'n': 97, 'trace_an': -16}
  • id: 54046430
    {'hecke_orbit_code': 40533564910994864, 'n': 98, 'trace_an': 0}
  • id: 54046431
    {'hecke_orbit_code': 40533564910994864, 'n': 99, 'trace_an': 24}
  • id: 54046432
    {'hecke_orbit_code': 40533564910994864, 'n': 100, 'trace_an': 0}
  • id: 54046433
    {'hecke_orbit_code': 40533564910994864, 'n': 101, 'trace_an': 18}
  • id: 54046434
    {'hecke_orbit_code': 40533564910994864, 'n': 103, 'trace_an': 8}
  • id: 54046435
    {'hecke_orbit_code': 40533564910994864, 'n': 107, 'trace_an': -24}
  • id: 54046436
    {'hecke_orbit_code': 40533564910994864, 'n': 109, 'trace_an': -8}
  • id: 54046437
    {'hecke_orbit_code': 40533564910994864, 'n': 113, 'trace_an': -24}
  • id: 54046438
    {'hecke_orbit_code': 40533564910994864, 'n': 121, 'trace_an': 4}
  • id: 54046439
    {'hecke_orbit_code': 40533564910994864, 'n': 125, 'trace_an': 0}
  • id: 54046440
    {'hecke_orbit_code': 40533564910994864, 'n': 127, 'trace_an': -8}
  • id: 54046441
    {'hecke_orbit_code': 40533564910994864, 'n': 128, 'trace_an': 0}
  • id: 54046442
    {'hecke_orbit_code': 40533564910994864, 'n': 131, 'trace_an': -12}
  • id: 54046443
    {'hecke_orbit_code': 40533564910994864, 'n': 137, 'trace_an': 12}
  • id: 54046444
    {'hecke_orbit_code': 40533564910994864, 'n': 139, 'trace_an': 40}
  • id: 54046445
    {'hecke_orbit_code': 40533564910994864, 'n': 149, 'trace_an': 12}
  • id: 54046446
    {'hecke_orbit_code': 40533564910994864, 'n': 151, 'trace_an': 14}
  • id: 54046447
    {'hecke_orbit_code': 40533564910994864, 'n': 157, 'trace_an': -14}
  • id: 54046448
    {'hecke_orbit_code': 40533564910994864, 'n': 163, 'trace_an': -6}
  • id: 54046449
    {'hecke_orbit_code': 40533564910994864, 'n': 167, 'trace_an': -72}
  • id: 54046450
    {'hecke_orbit_code': 40533564910994864, 'n': 169, 'trace_an': 4}
  • id: 54046451
    {'hecke_orbit_code': 40533564910994864, 'n': 173, 'trace_an': 6}
  • id: 54046452
    {'hecke_orbit_code': 40533564910994864, 'n': 179, 'trace_an': 0}
  • id: 54046453
    {'hecke_orbit_code': 40533564910994864, 'n': 181, 'trace_an': -48}
  • id: 54046454
    {'hecke_orbit_code': 40533564910994864, 'n': 191, 'trace_an': 0}
  • id: 54046455
    {'hecke_orbit_code': 40533564910994864, 'n': 193, 'trace_an': 12}
  • id: 54046456
    {'hecke_orbit_code': 40533564910994864, 'n': 197, 'trace_an': -72}
  • id: 54046457
    {'hecke_orbit_code': 40533564910994864, 'n': 199, 'trace_an': -28}
  • id: 54046458
    {'hecke_orbit_code': 40533564910994864, 'n': 211, 'trace_an': -16}
  • id: 54046459
    {'hecke_orbit_code': 40533564910994864, 'n': 223, 'trace_an': 16}
  • id: 54046460
    {'hecke_orbit_code': 40533564910994864, 'n': 227, 'trace_an': -6}
  • id: 54046461
    {'hecke_orbit_code': 40533564910994864, 'n': 229, 'trace_an': -8}
  • id: 54046462
    {'hecke_orbit_code': 40533564910994864, 'n': 233, 'trace_an': -6}
  • id: 54046463
    {'hecke_orbit_code': 40533564910994864, 'n': 239, 'trace_an': -24}
  • id: 54046464
    {'hecke_orbit_code': 40533564910994864, 'n': 241, 'trace_an': 4}
  • id: 54046465
    {'hecke_orbit_code': 40533564910994864, 'n': 243, 'trace_an': 0}
  • id: 54046466
    {'hecke_orbit_code': 40533564910994864, 'n': 251, 'trace_an': -24}
  • id: 54046467
    {'hecke_orbit_code': 40533564910994864, 'n': 256, 'trace_an': 0}
  • id: 54046468
    {'hecke_orbit_code': 40533564910994864, 'n': 257, 'trace_an': 18}
  • id: 54046469
    {'hecke_orbit_code': 40533564910994864, 'n': 263, 'trace_an': 12}
  • id: 54046470
    {'hecke_orbit_code': 40533564910994864, 'n': 269, 'trace_an': -18}
  • id: 54046471
    {'hecke_orbit_code': 40533564910994864, 'n': 271, 'trace_an': -14}
  • id: 54046472
    {'hecke_orbit_code': 40533564910994864, 'n': 277, 'trace_an': -26}
  • id: 54046473
    {'hecke_orbit_code': 40533564910994864, 'n': 281, 'trace_an': 72}
  • id: 54046474
    {'hecke_orbit_code': 40533564910994864, 'n': 283, 'trace_an': 12}
  • id: 54046475
    {'hecke_orbit_code': 40533564910994864, 'n': 289, 'trace_an': -24}
  • id: 54046476
    {'hecke_orbit_code': 40533564910994864, 'n': 293, 'trace_an': -24}
  • id: 54046477
    {'hecke_orbit_code': 40533564910994864, 'n': 307, 'trace_an': -24}
  • id: 54046478
    {'hecke_orbit_code': 40533564910994864, 'n': 311, 'trace_an': -60}
  • id: 54046479
    {'hecke_orbit_code': 40533564910994864, 'n': 313, 'trace_an': 38}
  • id: 54046480
    {'hecke_orbit_code': 40533564910994864, 'n': 317, 'trace_an': 12}
  • id: 54046481
    {'hecke_orbit_code': 40533564910994864, 'n': 331, 'trace_an': -30}
  • id: 54046482
    {'hecke_orbit_code': 40533564910994864, 'n': 337, 'trace_an': 72}
  • id: 54046483
    {'hecke_orbit_code': 40533564910994864, 'n': 343, 'trace_an': -40}
  • id: 54046484
    {'hecke_orbit_code': 40533564910994864, 'n': 347, 'trace_an': -12}
  • id: 54046485
    {'hecke_orbit_code': 40533564910994864, 'n': 349, 'trace_an': -64}
  • id: 54046486
    {'hecke_orbit_code': 40533564910994864, 'n': 353, 'trace_an': -48}
  • id: 54046487
    {'hecke_orbit_code': 40533564910994864, 'n': 359, 'trace_an': 6}
  • id: 54046488
    {'hecke_orbit_code': 40533564910994864, 'n': 361, 'trace_an': 20}
  • id: 54046489
    {'hecke_orbit_code': 40533564910994864, 'n': 367, 'trace_an': -12}
  • id: 54046490
    {'hecke_orbit_code': 40533564910994864, 'n': 373, 'trace_an': 30}
  • id: 54046491
    {'hecke_orbit_code': 40533564910994864, 'n': 379, 'trace_an': 8}
  • id: 54046492
    {'hecke_orbit_code': 40533564910994864, 'n': 383, 'trace_an': 30}
  • id: 54046493
    {'hecke_orbit_code': 40533564910994864, 'n': 389, 'trace_an': 6}
  • id: 54046494
    {'hecke_orbit_code': 40533564910994864, 'n': 397, 'trace_an': 12}
  • id: 54046495
    {'hecke_orbit_code': 40533564910994864, 'n': 401, 'trace_an': -24}
  • id: 54046496
    {'hecke_orbit_code': 40533564910994864, 'n': 409, 'trace_an': -4}
  • id: 54046497
    {'hecke_orbit_code': 40533564910994864, 'n': 419, 'trace_an': -96}
  • id: 54046498
    {'hecke_orbit_code': 40533564910994864, 'n': 421, 'trace_an': 0}
  • id: 54046499
    {'hecke_orbit_code': 40533564910994864, 'n': 431, 'trace_an': -18}
  • id: 54046500
    {'hecke_orbit_code': 40533564910994864, 'n': 433, 'trace_an': 64}
  • id: 54046501
    {'hecke_orbit_code': 40533564910994864, 'n': 439, 'trace_an': 8}
  • id: 54046502
    {'hecke_orbit_code': 40533564910994864, 'n': 443, 'trace_an': 0}
  • id: 54046503
    {'hecke_orbit_code': 40533564910994864, 'n': 449, 'trace_an': -48}
  • id: 54046504
    {'hecke_orbit_code': 40533564910994864, 'n': 457, 'trace_an': -28}
  • id: 54046505
    {'hecke_orbit_code': 40533564910994864, 'n': 461, 'trace_an': 48}
  • id: 54046506
    {'hecke_orbit_code': 40533564910994864, 'n': 463, 'trace_an': 96}
  • id: 54046507
    {'hecke_orbit_code': 40533564910994864, 'n': 467, 'trace_an': -12}
  • id: 54046508
    {'hecke_orbit_code': 40533564910994864, 'n': 479, 'trace_an': -6}
  • id: 54046509
    {'hecke_orbit_code': 40533564910994864, 'n': 487, 'trace_an': 10}
  • id: 54046510
    {'hecke_orbit_code': 40533564910994864, 'n': 491, 'trace_an': 120}
  • id: 54046511
    {'hecke_orbit_code': 40533564910994864, 'n': 499, 'trace_an': 26}
  • id: 54046512
    {'hecke_orbit_code': 40533564910994864, 'n': 503, 'trace_an': -48}
  • id: 54046513
    {'hecke_orbit_code': 40533564910994864, 'n': 509, 'trace_an': 36}
  • id: 54046514
    {'hecke_orbit_code': 40533564910994864, 'n': 512, 'trace_an': 0}
  • id: 54046515
    {'hecke_orbit_code': 40533564910994864, 'n': 521, 'trace_an': 18}
  • id: 54046516
    {'hecke_orbit_code': 40533564910994864, 'n': 523, 'trace_an': 52}
  • id: 54046517
    {'hecke_orbit_code': 40533564910994864, 'n': 529, 'trace_an': -36}
  • id: 54046518
    {'hecke_orbit_code': 40533564910994864, 'n': 541, 'trace_an': -16}
  • id: 54046519
    {'hecke_orbit_code': 40533564910994864, 'n': 547, 'trace_an': 72}
  • id: 54046520
    {'hecke_orbit_code': 40533564910994864, 'n': 557, 'trace_an': 24}
  • id: 54046521
    {'hecke_orbit_code': 40533564910994864, 'n': 563, 'trace_an': -24}
  • id: 54046522
    {'hecke_orbit_code': 40533564910994864, 'n': 569, 'trace_an': -42}
  • id: 54046523
    {'hecke_orbit_code': 40533564910994864, 'n': 571, 'trace_an': -32}
  • id: 54046524
    {'hecke_orbit_code': 40533564910994864, 'n': 577, 'trace_an': 52}
  • id: 54046525
    {'hecke_orbit_code': 40533564910994864, 'n': 587, 'trace_an': 96}
  • id: 54046526
    {'hecke_orbit_code': 40533564910994864, 'n': 593, 'trace_an': -60}
  • id: 54046527
    {'hecke_orbit_code': 40533564910994864, 'n': 599, 'trace_an': 24}
  • id: 54046528
    {'hecke_orbit_code': 40533564910994864, 'n': 601, 'trace_an': -88}
  • id: 54046529
    {'hecke_orbit_code': 40533564910994864, 'n': 607, 'trace_an': 8}
  • id: 54046530
    {'hecke_orbit_code': 40533564910994864, 'n': 613, 'trace_an': -4}
  • id: 54046531
    {'hecke_orbit_code': 40533564910994864, 'n': 617, 'trace_an': 0}
  • id: 54046532
    {'hecke_orbit_code': 40533564910994864, 'n': 619, 'trace_an': 34}
  • id: 54046533
    {'hecke_orbit_code': 40533564910994864, 'n': 625, 'trace_an': 50}
  • id: 54046534
    {'hecke_orbit_code': 40533564910994864, 'n': 631, 'trace_an': 16}
  • id: 54046535
    {'hecke_orbit_code': 40533564910994864, 'n': 641, 'trace_an': -6}
  • id: 54046536
    {'hecke_orbit_code': 40533564910994864, 'n': 643, 'trace_an': -32}
  • id: 54046537
    {'hecke_orbit_code': 40533564910994864, 'n': 647, 'trace_an': 36}
  • id: 54046538
    {'hecke_orbit_code': 40533564910994864, 'n': 653, 'trace_an': -18}
  • id: 54046539
    {'hecke_orbit_code': 40533564910994864, 'n': 659, 'trace_an': 0}
  • id: 54046540
    {'hecke_orbit_code': 40533564910994864, 'n': 661, 'trace_an': 0}
  • id: 54046541
    {'hecke_orbit_code': 40533564910994864, 'n': 673, 'trace_an': 16}
  • id: 54046542
    {'hecke_orbit_code': 40533564910994864, 'n': 677, 'trace_an': -30}
  • id: 54046543
    {'hecke_orbit_code': 40533564910994864, 'n': 683, 'trace_an': -18}
  • id: 54046544
    {'hecke_orbit_code': 40533564910994864, 'n': 691, 'trace_an': -50}
  • id: 54046545
    {'hecke_orbit_code': 40533564910994864, 'n': 701, 'trace_an': 0}
  • id: 54046546
    {'hecke_orbit_code': 40533564910994864, 'n': 709, 'trace_an': 60}
  • id: 54046547
    {'hecke_orbit_code': 40533564910994864, 'n': 719, 'trace_an': 36}
  • id: 54046548
    {'hecke_orbit_code': 40533564910994864, 'n': 727, 'trace_an': 48}
  • id: 54046549
    {'hecke_orbit_code': 40533564910994864, 'n': 729, 'trace_an': -28}
  • id: 54046550
    {'hecke_orbit_code': 40533564910994864, 'n': 733, 'trace_an': -44}
  • id: 54046551
    {'hecke_orbit_code': 40533564910994864, 'n': 739, 'trace_an': 18}
  • id: 54046552
    {'hecke_orbit_code': 40533564910994864, 'n': 743, 'trace_an': -96}
  • id: 54046553
    {'hecke_orbit_code': 40533564910994864, 'n': 751, 'trace_an': 20}
  • id: 54046554
    {'hecke_orbit_code': 40533564910994864, 'n': 757, 'trace_an': -104}
  • id: 54046555
    {'hecke_orbit_code': 40533564910994864, 'n': 761, 'trace_an': 0}
  • id: 54046556
    {'hecke_orbit_code': 40533564910994864, 'n': 769, 'trace_an': 184}
  • id: 54046557
    {'hecke_orbit_code': 40533564910994864, 'n': 773, 'trace_an': 36}
  • id: 54046558
    {'hecke_orbit_code': 40533564910994864, 'n': 787, 'trace_an': 14}
  • id: 54046559
    {'hecke_orbit_code': 40533564910994864, 'n': 797, 'trace_an': 72}
  • id: 54046560
    {'hecke_orbit_code': 40533564910994864, 'n': 809, 'trace_an': -18}
  • id: 54046561
    {'hecke_orbit_code': 40533564910994864, 'n': 811, 'trace_an': -48}
  • id: 54046562
    {'hecke_orbit_code': 40533564910994864, 'n': 821, 'trace_an': -72}
  • id: 54046563
    {'hecke_orbit_code': 40533564910994864, 'n': 823, 'trace_an': 28}
  • id: 54046564
    {'hecke_orbit_code': 40533564910994864, 'n': 827, 'trace_an': 0}
  • id: 54046565
    {'hecke_orbit_code': 40533564910994864, 'n': 829, 'trace_an': 50}
  • id: 54046566
    {'hecke_orbit_code': 40533564910994864, 'n': 839, 'trace_an': -48}
  • id: 54046567
    {'hecke_orbit_code': 40533564910994864, 'n': 841, 'trace_an': -36}
  • id: 54046568
    {'hecke_orbit_code': 40533564910994864, 'n': 853, 'trace_an': -48}
  • id: 54046569
    {'hecke_orbit_code': 40533564910994864, 'n': 857, 'trace_an': -42}
  • id: 54046570
    {'hecke_orbit_code': 40533564910994864, 'n': 859, 'trace_an': 28}
  • id: 54046571
    {'hecke_orbit_code': 40533564910994864, 'n': 863, 'trace_an': 30}
  • id: 54046572
    {'hecke_orbit_code': 40533564910994864, 'n': 877, 'trace_an': -24}
  • id: 54046573
    {'hecke_orbit_code': 40533564910994864, 'n': 881, 'trace_an': 48}
  • id: 54046574
    {'hecke_orbit_code': 40533564910994864, 'n': 883, 'trace_an': -80}
  • id: 54046575
    {'hecke_orbit_code': 40533564910994864, 'n': 887, 'trace_an': -36}
  • id: 54046576
    {'hecke_orbit_code': 40533564910994864, 'n': 907, 'trace_an': 24}
  • id: 54046577
    {'hecke_orbit_code': 40533564910994864, 'n': 911, 'trace_an': -24}
  • id: 54046578
    {'hecke_orbit_code': 40533564910994864, 'n': 919, 'trace_an': 0}
  • id: 54046579
    {'hecke_orbit_code': 40533564910994864, 'n': 929, 'trace_an': 72}
  • id: 54046580
    {'hecke_orbit_code': 40533564910994864, 'n': 937, 'trace_an': 48}
  • id: 54046581
    {'hecke_orbit_code': 40533564910994864, 'n': 941, 'trace_an': -96}
  • id: 54046582
    {'hecke_orbit_code': 40533564910994864, 'n': 947, 'trace_an': -54}
  • id: 54046583
    {'hecke_orbit_code': 40533564910994864, 'n': 953, 'trace_an': -24}
  • id: 54046584
    {'hecke_orbit_code': 40533564910994864, 'n': 961, 'trace_an': 12}
  • id: 54046585
    {'hecke_orbit_code': 40533564910994864, 'n': 967, 'trace_an': -120}
  • id: 54046586
    {'hecke_orbit_code': 40533564910994864, 'n': 971, 'trace_an': -36}
  • id: 54046587
    {'hecke_orbit_code': 40533564910994864, 'n': 977, 'trace_an': 36}
  • id: 54046588
    {'hecke_orbit_code': 40533564910994864, 'n': 983, 'trace_an': 6}
  • id: 54046589
    {'hecke_orbit_code': 40533564910994864, 'n': 991, 'trace_an': 48}
  • id: 54046590
    {'hecke_orbit_code': 40533564910994864, 'n': 997, 'trace_an': -26}