Embedded newform data - 312.2.h.b.155.9

Formats: - HTML - YAML - JSON - 2025-08-20T11:03:16.133624

• 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': 1248, 'analytic_conductor': 2.491332543063948, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 312, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': 1, 'char_values': [312, 2, [79, 157, 209, 145], [1, 1, 1, 1]], 'cm_discs': [-104], 'conrey_index': 155, 'dim': 12, 'field_disc': 672442404508532736, 'field_disc_factorization': [[2, 18], [3, 12], [13, 6]], 'field_poly': [27, 0, 0, -68, 0, 0, 92, 0, 0, -16, 0, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [32, 0, 225, 0, 30, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504080697262392, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 576, 'hecke_ring_index_factorization': [[2, 6], [3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 8, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 104, 8, -1, 2, -104], [1, 1, 3, 2, -1, 2, 0], [1, 1, 8, 4, -1, 2, 0], [1, 1, 13, 2, 1, 2, 0], [1, 1, 24, 6, 1, 2, 0], [1, 1, 39, 4, -1, 2, 0], [1, 1, 312, 8, 1, 2, 0]], 'is_cm': True, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '312.2.h.b', 'level': 312, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 13], 'level_radical': 78, 'minimal_twist': '312.2.h.b', 'prim_orbit_index': 8, 'qexp_display': 'q+\\beta _{3}q^{2}+\\beta _{7}q^{3}-2q^{4}-\\beta _{9}q^{5}-\\beta _{4}q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 12, 'rm_discs': [], 'sato_tate_group': '1.2.1.d2', 'self_twist_discs': [-104], 'self_twist_type': 1, 'space_label': '312.2.h', 'trace_display': [0, 0, 0, 0], 'trace_hash': 195106316811960632, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.122', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.599', 'prec': 17}, {'__RealLiteral__': 0, 'data': '65.081', 'prec': 20}, {'__RealLiteral__': 0, 'data': '3802.153', 'prec': 27}, {'__RealLiteral__': 0, 'data': '35783.662', 'prec': 30}, {'__RealLiteral__': 0, 'data': '1736358.547', 'prec': 37}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.962', 'prec': 17}, 'traces': [12, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, -60, 0, -12, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 84, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, -12, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, -132, 0, 0, 0, 0, -120, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 156, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -156, -168, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 132, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 192, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -156, 0, 0, 0, 0, 0, 0, 0, 0, -192, 168, 0, 0, 0, 0, 0, -204, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 204, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -264, 0, 0, 0, 0, -192, 228, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -228, 0, 0, 0, 0, 0, 204, 0, 0, 0, 0, 0, 0, -240, 0, 0, 312, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 24, 0, 0, 0, 0, 0, 240, 0, 0, 0, -336, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -312, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 264, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, -264, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, -408, 0, 0, 0, 0, 0, -276, 0, 0, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 276, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -156, 0, 0, -264, 0, 0, 0, 0, 0, 0, 456, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 300, 0, 0, 0, 0, 0, 0, 0, 276, -480, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -312, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -192, 0, 0, 60, -312, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -84, 0, 0, 312, 0, 0, 204, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 528, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -300, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -552, 0, 0, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, -228, 0, 0, 312, 0, 0, 0, 336, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -336, 0, 0, 0, 0, 0, 240, 0, 0, -156, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -348, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 600, 0, 0, 0, 0, 0, 0, 0, 348, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -336, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -264, 0, 0, 0, 0, 0, -192, 0, 0, 0, -624, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 204, -48, 0, 0, 0, 0, 624, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 252, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 168, 0, -372, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192], '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, 1.0], [0.06450794361595222, -0.9979171935638954], [-1.0, 0.0], [0.0, 1.8109107568217582], [0.9979171935638954, 0.06450794361595222], [-1.1303465703776523, 0.0], [0.0, -1.0], [-0.9916774504208823, -0.12874717211161807], [-1.8109107568217582, 0.0], [0.0, 0.0], [-0.06450794361595222, 0.9979171935638954], [-1.0, 0.0], [0.0, -1.1303465703776523], [1.8071389802422388, 0.11681812899457933], [1.0, 0.0], [0.0, 1.489481630829467], [0.12874717211161807, -0.9916774504208823], [0.0, 0.0], [0.0, -1.8109107568217582], [-0.07291633282840657, 1.127992277265841], [0.0, 0.0], [0.0, 0.0], [-0.9979171935638954, -0.06450794361595222], [-2.279397769172753, 0.0], [0.0, -1.0], [-0.19245008972987526, 0.9813067629253163], [1.1303465703776523, 0.0], [0.0, 0.0], [-0.11681812899457933, 1.8071389802422388], [-1.2951522516054665, 0.0], [0.0, 1.0], [0.0, 0.0], [-1.489481630829467, 0.0], [0.0, -2.046956763233473], [0.9916774504208823, 0.12874717211161807], [1.9194751726702637, 0.0], [0.0, 0.0], [-0.06450794361595222, 0.9979171935638954], [1.8109107568217582, 0.0], [0.0, 0.0], [-1.127992277265841, -0.07291633282840657], [1.8488303674963242, 0.0], [0.0, 0.0], [0.23314963888731144, -1.7958393622647515], [0.0, 0.0], [0.0, 0.7289440793062367], [0.06450794361595222, -0.9979171935638954], [0.2776833691645211, 0.0], [0.0, -2.279397769172753], [1.4863793289023157, 0.0960833970585438], [1.0, 0.0], [0.0, 0.0], [-0.9813067629253163, -0.19245008972987526], [0.0, 0.0], [0.0, 1.1303465703776523], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-1.8071389802422388, -0.11681812899457933], [0.0, 0.0], [0.0, -1.2951522516054665], [1.1209392050040987, 0.14552892444218882], [-1.0, 0.0], [0.0, -1.8109107568217582], [0.0, 0.0], [0.0, 0.0], [0.0, -1.489481630829467], [0.0, 0.0], [2.046956763233473, 0.0], [0.0, 0.36805069452000944], [-0.12874717211161807, 0.9916774504208823], [0.0, 0.0], [0.0, 1.9194751726702637], [-0.1470392627721232, 2.2746502248286773], [0.0, 0.0], [0.0, 0.0], [-0.9979171935638954, -0.06450794361595222], [0.0, 0.0], [0.0, 1.8109107568217582], [0.9668483313465228, 0.2553513347770959], [0.0, 0.0], [0.0, 0.0], [0.07291633282840657, -1.127992277265841], [-2.6973183073574964, 0.0], [0.0, 1.8488303674963242], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [1.7958393622647515, 0.23314963888731144], [1.1303465703776523, 0.0], [0.0, 0.0], [-0.08354760842063899, 1.2924547001600872], [-0.7289440793062367, 0.0], [0.0, 0.0], [0.9979171935638954, 0.06450794361595222], [0.0, 0.0], [0.0, 0.2776833691645211], [0.0, 0.0], [2.279397769172753, 0.0], [0.0, 0.0], [-0.0960833970585438, 1.4863793289023157], [0.0, 0.0], [0.0, 1.0], [-2.0426933485125827, -0.13204497146695693], [0.0, 0.0], [0.0, -0.9858816444292032], [0.19245008972987526, -0.9813067629253163], [0.027465862590818364, 0.0], [0.0, 0.0], [0.12382139621083352, -1.9154772774266833], [-1.1303465703776523, 0.0], [0.0, 1.918701625892765], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.9916774504208823, 0.12874717211161807], [0.0, 0.0], [0.0, -1.6836304530486004], [0.11681812899457933, -1.8071389802422388], [-1.0, 0.0], [0.0, 0.0], [0.0, 0.0], [1.2951522516054665, 0.0], [0.0, -2.316875182448699], [-0.14552892444218882, 1.1209392050040987], [0.0, 0.0], [0.0, -1.0], [0.1192642451019131, -1.8449796117076374], [1.8109107568217582, 0.0], [0.0, 1.6451322181865955], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-1.777058972723394, -0.34850993764314364], [1.489481630829467, 0.0], [0.0, 0.0], [0.0, 0.0], [-1.9997577990852815, 0.0], [0.0, 2.046956763233473], [0.7274258298862973, 0.04702268356706892], [-0.36805069452000944, 0.0], [0.0, 0.0], [-0.9916774504208823, -0.12874717211161807], [0.0, 0.0], [0.0, 0.0], [0.01791278312115257, -0.277105008456026], [-1.9194751726702637, 0.0], [0.0, 0.9268551141815876], [-2.2746502248286773, -0.1470392627721232], [-1.1701932628451428, 0.0], [0.0, 0.0], [0.19176654788149494, -1.4770853461097035], [0.0, 0.0], [0.0, -2.3454051441542596], [0.06450794361595222, -0.9979171935638954], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-1.8109107568217582, 0.0], [0.0, 0.0], [-0.2553513347770959, 0.9668483313465228], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, -1.0943513103291655], [1.127992277265841, 0.07291633282840657], [1.0, 0.0], [0.0, -2.6973183073574964], [0.0, 0.0], [-1.8488303674963242, 0.0], [0.0, 0.0], [0.0, 0.0], [2.576509450910893, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 1.0609467931809948], [-0.23314963888731144, 1.7958393622647515], [0.0, 0.0], [0.0, 1.1303465703776523], [0.0, 0.0], [0.0, 0.0], [0.0, 3.4759982376408822], [-1.2924547001600872, -0.08354760842063899], [0.0, 0.0], [0.0, -0.7289440793062367], [0.21753529889503595, -1.1092167339610273], [0.0, 0.0], [0.0, 0.0], [-0.06450794361595222, 0.9979171935638954], [0.0, 0.0], [0.0, 0.0], [-1.8071389802422388, -0.11681812899457933], [-0.2776833691645211, 0.0], [0.0, 0.4235963510233209], [0.0, 0.0], [0.0, 0.0], [0.0, 2.279397769172753], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-1.4863793289023157, 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[-1.9955926906706964, -0.12900026334895404], [1.9817725596170719, 0.0], [0.0, 0.0], [0.24925216703532202, -1.2709416635183952], [-1.706726494942055, 0.0], [0.0, 1.855314821535241], [-0.13204497146695693, 2.0426933485125827], [-1.0, 0.0], [0.0, 1.998625506835636], [0.0, 0.0], [-0.9269250377749014, 0.0], [0.0, 1.8109107568217582], [0.7228774060658063, 0.09384948883818504], [1.1303465703776523, 0.0], [0.0, 0.0], [0.05368438911985042, -0.8304802777099417], [3.3951211065364806, 0.0], [0.0, 0.0], [-0.3672841161646504, -0.023742193449908824], [1.7940502877642048, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.9858816444292032, 0.0], [0.0, -1.3934335085764962], [0.0, 0.0], [1.705977984837351, 0.0], [0.0, -3.348066800037818], [0.0, 0.0], [1.1122449687754536, 0.0], [0.0, 1.8887436888462192], [-0.9813067629253163, -0.19245008972987526], [0.0, 0.0], [0.0, -1.958637423489109], [-0.0786065113304428, 1.2160175132807343], [-1.4639709057191335, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, -0.027465862590818364], [0.0, 0.0], [0.0, 0.0], [0.0, 2.618871916473984], [0.0, 0.0], [-1.3653882991893198, 0.0], [0.0, 0.0], [1.7630402807977497, 0.11396747521724286], [0.0, 0.0], [0.0, -1.346833977056859], [0.03575094852235858, -0.2753723355573529], [-1.9948361013807325, 0.0], [0.0, 1.489481630829467], [0.0, 0.0], [-1.8800615610021658, 0.0], [0.0, 0.0], [-1.9154772774266833, -0.12382139621083352], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.562394692215128, 0.0], [0.0, 0.0], [-0.05978951744578281, 0.9249246543844337], [-1.9212799601870125, 0.0], [0.0, 1.1303465703776523], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-2.260427368228282, -0.2934660168985227], [0.0, 0.0], [0.0, 0.0], [-0.1348099304196272, 2.085466376510421], [1.918701625892765, 0.0], [0.0, 0.0], [-1.1677559767858026, -0.07548676101938162], [-1.9237470029953825, 0.0], [0.0, 0.0], [0.0, 0.0], [-2.046956763233473, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.4142000325375997, 0.0], [0.0, -1.859569560644998], [0.2866508735041318, -1.4616383975859852], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.854666091911433, 0.0], [0.0, -0.36805069452000944], [0.0, 0.0], [-4.375247426567084, 0.0], [0.0, -0.3351283561842992], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.15129726279566724, -2.3405201192247422], [0.0, 0.0], [0.0, 0.6528374434837709], [0.0, 0.0], [0.47190896665049625, 0.0], [0.0, 0.0], [0.12874717211161807, -0.9916774504208823], [0.06533715203848012, 0.0], [0.0, 0.0], [0.11173491870414973, -1.7285033477452478], [1.3200526743371968, 0.0], [0.0, -1.575669193640043], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [2.0086925151767225, 0.3939370127574569], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [1.5852941891479397, 0.10247750898351882], [-1.6836304530486004, 0.0], [0.0, 1.6928294557652601], [0.0, 0.0], [0.0, 0.0], [0.0, 1.248318034716128], [0.0, 0.0], [-1.4250821029458702, 0.0], [0.0, 0.0], [-1.8071389802422388, -0.11681812899457933], [0.6774193548387096, 0.0], [0.0, -1.9194751726702637], [-0.1269294737570117, 0.9776765955642991], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-1.9827209219466444, 0.0], [0.0, 1.0], [0.0, 0.0], [0.0, 0.0], [0.0, 1.9355053951616035], [-0.3171888850172332, 0.9483623839131983], [2.2604193697820105, 0.0], [0.0, 1.633831238975984], [0.1470392627721232, -2.2746502248286773], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, -0.5028598002105386], [-0.027237276587673043, -0.0035361521381741443], [1.9583690436116539, 0.0], [0.0, 0.8133565097884632], [0.0, 0.0], [-0.7670951886185772, 0.0], [0.0, 0.0], [-0.8222432920160938, -0.05315192909998995], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, -1.2951522516054665], [0.0, 0.0], [0.4160248402758057, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.36940316921466004, 1.8835939682085692], [-2.316875182448699, 0.0]], 'angles': [None, None, 0.18023523575718772, -0.3455953483516884, -0.25, None, 0.13371344934869053, 0.0, -0.25, -0.25, -0.36210861237961456, -0.04531615513436454, -0.25, -0.062276849233122315, 0.05937526316450533, -0.25, -0.25, 0.0, 0.0, 0.02945642591928892, 0.0, 0.0, -0.25, -0.25, 0.0, -0.25, 0.0, -0.41796095208204553, -0.24781426739506482, 0.20446521473691823, 0.0, 0.15372917301761987, -0.25, -0.4975230775810961, 0.0766902878576336, -0.3494717135318704, 0.0, 0.0, -0.40785148320631126, -0.25, 0.08899290530320204, 0.0, -0.25, 0.0, 0.03396597436001062, 0.0, -0.173303432736444, -0.20463422482934815, -0.25, -0.2832012769435337, -0.4470790278083273, -0.3927208662467748, 0.0, -0.44784812207144786, 0.054554019509584745, -0.25, -0.25, -0.4695465901122985, 0.0, -0.25, -0.18169711983024547, 0.1723621503523346, 0.0, -0.25, -0.08332375296132964, 0.146081465302267, 0.0, -0.11220445025542097, -0.36918791702279097, -0.10432554071229543, -0.25, -0.3466991505930764, 0.0, 0.0, 0.0, 0.12340052977338863, -0.25, -0.07001491151682646, -0.25, 0.0, 0.16272050305415445, -0.005900873427785695, -0.406144267869472, -0.46757535287551294, 0.0, 0.19460201732186444, -0.25, 0.0, -0.4297265910614069, -0.2767950703138244, -0.46208918619932887, 0.12622788932643506, -0.09784106461970023, -0.28253003678739164, 0.0, -0.25, -0.3295800491759652, 0.08101728503732689, -0.3833840699096621, -0.2883541694021638, -0.3237018960899201, -0.27865610311831196, 0.009137315633389037, 0.24058148779139377, -0.03732169767658894, 0.0, -0.25, -0.25, -0.25, -0.39862336767053735, 0.0, -0.12019387079644762, -0.25, 0.0, -0.07826925669479197, -0.35092245483921414, 0.0, -0.25, -0.25, 0.23135801314064075, -0.2723936565815943, -0.16424876900081062, -0.25, -0.25, 0.0, -0.25, -0.44838167310388877, -0.25, 0.0, -0.23492558712630493, 0.0, 0.22061064876930742, 0.0, 0.0, -0.25, 0.0, 0.09807415905095689, 0.0, -0.25, -0.2767764169838562, 0.0, 0.02184679687822664, 0.0, -0.25, 0.0, 0.1890903992505624, -0.0728618064175289, -0.37732172585523627, -0.08739368776584494, 0.1966644764430496, -0.3695959272704989, -0.3824129427809971, -0.4885606203539631, -0.25, -0.455910194598813, -0.25, 0.0, -0.25, -0.24479970937347043, -0.35560108559595843, -0.25, 0.1606217515938831, -0.4790640059290698, 0.2094719362854519, -0.25, 0.06665649461071871, 0.0, 0.0], 'char_orbit_index': 8, 'conrey_index': 155, 'dual_conrey_index': 155, 'dual_embedding_index': 4, 'dual_embedding_m': 4, 'embedding_index': 9, 'embedding_m': 9, 'embedding_root_imag': -0.22711402096780947, 'embedding_root_real': 0.8035194980508181, 'hecke_orbit': 2, 'hecke_orbit_code': 4504080697262392, 'label': '312.2.h.b.155.9', 'level': 312, 'weight': 2}
• mf_newspaces •

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

  
  {'Nk2': 1248, 'analytic_conductor': 2.491332543063948, 'char_conductor': 312, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': 1, 'char_values': [312, 2, [79, 157, 209, 145], [1, 1, 1, 1]], 'conrey_index': 155, 'cusp_dim': 52, 'dim': 52, 'eis_dim': 8, 'eis_new_dim': 8, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 481069891896, 'hecke_orbit_dims': [8, 12, 32], 'label': '312.2.h', 'level': 312, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 13], 'level_radical': 78, 'mf_dim': 60, 'mf_new_dim': 60, 'num_forms': 3, 'prim_orbit_index': 8, 'relative_dim': 52, 'sturm_bound': 112, 'trace_bound': 1, 'trace_display': [0, -4, 0, 0], 'traces': [52, 0, -4, -4, 0, 0, 0, 0, -4, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -44, 0, -28, 0, 0, 22, 0, 0, 0, 0, 0, -10, 0, 0, 0, 32, 0, -14, 8, 0, 0, 0, 0, 22, 36, 0, 8, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -76, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 26, 0, 0, -4, 28, 0, 0, 0, 0, 0, -84, 0, 94, -56, 0, 0, -48, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 80, 0, 0, 0, -52, 0, -14, 4, 0, 0, 0, 0, -10, 0, 0, -16, 20, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 64, 0, -102, 0, 0, -4, 0, 0, 0, 0, 0, 32, 0, 0, 28, 0, 0, 0, 88, 0, 0, 0, 0, 0, 76, 0, 110, 4, 0, 0, -20, 0, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 90, 0, 0, -96, -240, 0, -48, 0, 0, 0, 0, 0, 6, 0, 0, 0, 120, 0, 0, 136, 0, 0, 0, 0, 0, -96, 0, 0, 216, 0, 170, 0, 0, -52, 0, 0, 0, 0, 0, 0, 0, 0, -58, 144, 0, 0, -36, 0, 0, 0, 0, 36, 144, 0, -192, 0, 0, 0, -76, 0, 0, 0, 0, 0, 104, 0, 0, -144, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, -188, 0, 0, -48, 164, 0, -60, 0, 0, 0, 0, 0, -34, -24, 0, 0, -12, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -116, 0, 216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -74, -24, 0, 176, -80, 0, 0, 0, 0, -24, -296, 0, -146, 0, 0, 0, -84, 0, 0, 0, 0, 0, 44, 0, 0, 8, 0, 192, 0, 0, 104, 0, 0, 0, 0, 0, -236, 0, 0, 0, 164, 0, 80, 0, 0, 0, 0, 0, -38, 60, 0, -164, -124, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, -252, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 168, 0, 0, 168, 160, 0, 0, 0, 0, 0, -324, 0, 216, 120, 0, 0, 56, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 104, 0, 0, 158, 0, 0, 0, 0, 0, 234, 0, 0, 0, -428, 0, 112, -152, 0, 0, 0, 0, 76, 0, 0, -60, 236, 0, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, 236, 0, -296, 0, 0, 88, 0, 0, 0, 0, 0, -56, 0, 0, 160, 0, 0, 0, 20, 0, 0, 0, 0, 0, 296, 0, 218, -120, 0, 0, 140, 0, 0, 0, 0, 0, 220, 0, 0, 0, 0, 0, 0, 0, -148, 0, 0, 0, 0, 0, 394, 0, 0, 204, -200, 0, -206, 0, 0, 0, 0, 0, 10, 0, 0, 0, 148, 0, 0, -168, 0, 0, 0, 0, 0, -76, 0, 0, 368, 0, 260, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, -156, -216, 0, 0, -316, 0, 0, 0, 0, -112, 332, 0, -176, 0, 0, 0, -140, 0, 0, 0, 0, 0, 72, 0, 0, 168, 0, 0, 0, 0, -242, 0, 0, 0, 0, 0, -340, 0, 0, -8, 280, 0, -288, 0, 0, 0, 0, 0, -124, 240, 0, 0, -264, 0, 0, 296, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 354, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -168, 212, 0, -176, -216, 0, 0, 0, 0, 16, -508, 0, -324, 0, 0, 0, -184, 0, 0, 0, 0, 0, 192, 0, 0, -128, 0, -392, 0, 0, 270, 0, 0, 0, 0, 0, -516, 0, 0, 0, 340, 0, 134, -320, 0, 0, 0, 0, -122, 8, 0, 188, -308, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -356, 0, -340, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 268, 0, 0, 40, 284, 0, 0, 0, 0, 0, -276, 0, 314, -240, 0, 0, 356, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, -148, 0, 0, 340, 0, 0, 0, 0, 0, 408, 0, 0, 0, -456, 0, 192, 256, 0, 0, 0, 0, 150, 0, 0, -8, 104, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 464, 0, -346, 0, 0, -248, 0, 0, 0, 0, 0, -200, 0, 0, 374, 0, 0, 0, 260, 0, 0, 0, 0, 0, 736, 0, 352, 64, 0, 0, 80, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, -306, 0, 0, 0, 0, 0, 526, 0, 0, -320, -256, 0, -224, 0, 0, 0, 0, 0, 44, 0, 0, 0, 324, 0, 0, 288, 0, 0, 0, 0, 0, 28, 0, 0, 44, 0, 374, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, -316, 504, 0, 0, -392, 0, 0, 0, 0, 244, 448, 0, -372, 0, 0, 0, -176, 0, 0, 0, 0, 0, 16, 0, 0, -328, 0, 0, 0, 0, -394, 0, 0, 0, 0, 0, -484, 0, 0, 16, 572, 0, -284, 0, 0, 0, 0, 0, 26, 104, 0, 0, -516, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 0, -608, 0, 516, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -302, -184, 0, 184, -132, 0, 0, 0, 0, 280, -648, 0, -216, 0, 0, 0, -236, 0, 0, 0, 0, 0, -344, 0, 0, 4, 0, 520, 0, 0, 236, 0, 0, 0, 0, 0, -522, 0, 0, 0, 440, 0, 260, 496, 0, 0, 0, 0, -16, -160, 0, -184, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -628], '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: 35595260
    {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 155, 'source_dim': 12, 'source_embedding_index': 9, 'source_hecke_orbit_code': 4504080697262392, 'source_is_minimal': True, 'source_label': '312.2.h.b.155.9', 'source_level': 312, 'target_conrey_index': 155, 'target_dim': 12, 'target_embedding_index': 9, 'target_hecke_orbit_code': 4504080697262392, 'target_is_minimal': True, 'target_label': '312.2.h.b.155.9', 'target_level': 312, 'twist_class_label': '312.2.h.b.155.3', 'twist_class_level': 312, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
  • id: 35595261
    {'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 155, 'source_dim': 12, 'source_embedding_index': 9, 'source_hecke_orbit_code': 4504080697262392, 'source_is_minimal': True, 'source_label': '312.2.h.b.155.9', 'source_level': 312, 'target_conrey_index': 155, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504080697262392, 'target_is_minimal': True, 'target_label': '312.2.h.b.155.4', 'target_level': 312, 'twist_class_label': '312.2.h.b.155.3', 'twist_class_level': 312, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
  • id: 35595262
    {'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 155, 'source_dim': 12, 'source_embedding_index': 9, 'source_hecke_orbit_code': 4504080697262392, 'source_is_minimal': True, 'source_label': '312.2.h.b.155.9', 'source_level': 312, 'target_conrey_index': 623, 'target_dim': 12, 'target_embedding_index': 8, 'target_hecke_orbit_code': 4504080697263328, 'target_is_minimal': False, 'target_label': '1248.2.h.b.623.8', 'target_level': 1248, 'twist_class_label': '312.2.h.b.155.3', 'twist_class_level': 312, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
  • id: 35595263
    {'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 155, 'source_dim': 12, 'source_embedding_index': 9, 'source_hecke_orbit_code': 4504080697262392, 'source_is_minimal': True, 'source_label': '312.2.h.b.155.9', 'source_level': 312, 'target_conrey_index': 155, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504080697262392, 'target_is_minimal': True, 'target_label': '312.2.h.b.155.3', 'target_level': 312, 'twist_class_label': '312.2.h.b.155.3', 'twist_class_level': 312, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
  • id: 35595264
    {'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 155, 'source_dim': 12, 'source_embedding_index': 9, 'source_hecke_orbit_code': 4504080697262392, 'source_is_minimal': True, 'source_label': '312.2.h.b.155.9', 'source_level': 312, 'target_conrey_index': 623, 'target_dim': 12, 'target_embedding_index': 7, 'target_hecke_orbit_code': 4504080697263328, 'target_is_minimal': False, 'target_label': '1248.2.h.b.623.7', 'target_level': 1248, 'twist_class_label': '312.2.h.b.155.3', 'twist_class_level': 312, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
  • id: 35595265
    {'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 155, 'source_dim': 12, 'source_embedding_index': 9, 'source_hecke_orbit_code': 4504080697262392, 'source_is_minimal': True, 'source_label': '312.2.h.b.155.9', 'source_level': 312, 'target_conrey_index': 623, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 4504080697263328, 'target_is_minimal': False, 'target_label': '1248.2.h.b.623.5', 'target_level': 1248, 'twist_class_label': '312.2.h.b.155.3', 'twist_class_level': 312, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
  • id: 35595266
    {'conductor': 13, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 155, 'source_dim': 12, 'source_embedding_index': 9, 'source_hecke_orbit_code': 4504080697262392, 'source_is_minimal': True, 'source_label': '312.2.h.b.155.9', 'source_level': 312, 'target_conrey_index': 155, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504080697262392, 'target_is_minimal': True, 'target_label': '312.2.h.b.155.3', 'target_level': 312, 'twist_class_label': '312.2.h.b.155.3', 'twist_class_level': 312, 'twisting_char_label': '13.12', 'twisting_conrey_index': 12, 'weight': 2}
  • id: 35595267
    {'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 155, 'source_dim': 12, 'source_embedding_index': 9, 'source_hecke_orbit_code': 4504080697262392, 'source_is_minimal': True, 'source_label': '312.2.h.b.155.9', 'source_level': 312, 'target_conrey_index': 623, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 4504080697263328, 'target_is_minimal': False, 'target_label': '1248.2.h.b.623.6', 'target_level': 1248, 'twist_class_label': '312.2.h.b.155.3', 'twist_class_level': 312, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 2}
  • id: 35595268
    {'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 155, 'source_dim': 12, 'source_embedding_index': 9, 'source_hecke_orbit_code': 4504080697262392, 'source_is_minimal': True, 'source_label': '312.2.h.b.155.9', 'source_level': 312, 'target_conrey_index': 155, 'target_dim': 12, 'target_embedding_index': 10, 'target_hecke_orbit_code': 4504080697262392, 'target_is_minimal': True, 'target_label': '312.2.h.b.155.10', 'target_level': 312, 'twist_class_label': '312.2.h.b.155.3', 'twist_class_level': 312, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 2}
  • id: 35595269
    {'conductor': 39, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 155, 'source_dim': 12, 'source_embedding_index': 9, 'source_hecke_orbit_code': 4504080697262392, 'source_is_minimal': True, 'source_label': '312.2.h.b.155.9', 'source_level': 312, 'target_conrey_index': 155, 'target_dim': 12, 'target_embedding_index': 10, 'target_hecke_orbit_code': 4504080697262392, 'target_is_minimal': True, 'target_label': '312.2.h.b.155.10', 'target_level': 312, 'twist_class_label': '312.2.h.b.155.3', 'twist_class_level': 312, 'twisting_char_label': '39.38', 'twisting_conrey_index': 38, 'weight': 2}
  • id: 35595270
    {'conductor': 52, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 155, 'source_dim': 12, 'source_embedding_index': 9, 'source_hecke_orbit_code': 4504080697262392, 'source_is_minimal': True, 'source_label': '312.2.h.b.155.9', 'source_level': 312, 'target_conrey_index': 623, 'target_dim': 12, 'target_embedding_index': 7, 'target_hecke_orbit_code': 4504080697263328, 'target_is_minimal': False, 'target_label': '1248.2.h.b.623.7', 'target_level': 1248, 'twist_class_label': '312.2.h.b.155.3', 'twist_class_level': 312, 'twisting_char_label': '52.51', 'twisting_conrey_index': 51, 'weight': 2}
  • id: 35595271
    {'conductor': 104, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 155, 'source_dim': 12, 'source_embedding_index': 9, 'source_hecke_orbit_code': 4504080697262392, 'source_is_minimal': True, 'source_label': '312.2.h.b.155.9', 'source_level': 312, 'target_conrey_index': 155, 'target_dim': 12, 'target_embedding_index': 9, 'target_hecke_orbit_code': 4504080697262392, 'target_is_minimal': True, 'target_label': '312.2.h.b.155.9', 'target_level': 312, 'twist_class_label': '312.2.h.b.155.3', 'twist_class_level': 312, 'twisting_char_label': '104.51', 'twisting_conrey_index': 51, 'weight': 2}
  • id: 35595272
    {'conductor': 104, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 155, 'source_dim': 12, 'source_embedding_index': 9, 'source_hecke_orbit_code': 4504080697262392, 'source_is_minimal': True, 'source_label': '312.2.h.b.155.9', 'source_level': 312, 'target_conrey_index': 623, 'target_dim': 12, 'target_embedding_index': 8, 'target_hecke_orbit_code': 4504080697263328, 'target_is_minimal': False, 'target_label': '1248.2.h.b.623.8', 'target_level': 1248, 'twist_class_label': '312.2.h.b.155.3', 'twist_class_level': 312, 'twisting_char_label': '104.77', 'twisting_conrey_index': 77, 'weight': 2}
  • id: 35595273
    {'conductor': 156, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 155, 'source_dim': 12, 'source_embedding_index': 9, 'source_hecke_orbit_code': 4504080697262392, 'source_is_minimal': True, 'source_label': '312.2.h.b.155.9', 'source_level': 312, 'target_conrey_index': 623, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 4504080697263328, 'target_is_minimal': False, 'target_label': '1248.2.h.b.623.6', 'target_level': 1248, 'twist_class_label': '312.2.h.b.155.3', 'twist_class_level': 312, 'twisting_char_label': '156.155', 'twisting_conrey_index': 155, 'weight': 2}
  • id: 35595274
    {'conductor': 312, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 155, 'source_dim': 12, 'source_embedding_index': 9, 'source_hecke_orbit_code': 4504080697262392, 'source_is_minimal': True, 'source_label': '312.2.h.b.155.9', 'source_level': 312, 'target_conrey_index': 623, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 4504080697263328, 'target_is_minimal': False, 'target_label': '1248.2.h.b.623.5', 'target_level': 1248, 'twist_class_label': '312.2.h.b.155.3', 'twist_class_level': 312, 'twisting_char_label': '312.77', 'twisting_conrey_index': 77, 'weight': 2}
  • id: 35595275
    {'conductor': 312, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 155, 'source_dim': 12, 'source_embedding_index': 9, 'source_hecke_orbit_code': 4504080697262392, 'source_is_minimal': True, 'source_label': '312.2.h.b.155.9', 'source_level': 312, 'target_conrey_index': 155, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504080697262392, 'target_is_minimal': True, 'target_label': '312.2.h.b.155.4', 'target_level': 312, 'twist_class_label': '312.2.h.b.155.3', 'twist_class_level': 312, 'twisting_char_label': '312.155', 'twisting_conrey_index': 155, 'weight': 2}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 688750
    {'charpoly_factorization': [[[2, 0, 1], 6]], 'hecke_orbit_code': 4504080697262392, 'p': 2}
  • id: 688751
    {'charpoly_factorization': [[[27, 0, 0, 2, 0, 0, 1], 2]], 'hecke_orbit_code': 4504080697262392, 'p': 3}
  • id: 688752
    {'charpoly_factorization': [[[32, 0, 225, 0, 30, 0, 1], 2]], 'hecke_orbit_code': 4504080697262392, 'p': 5}
  • id: 688753
    {'charpoly_factorization': [[[-1300, 0, 441, 0, -42, 0, 1], 2]], 'hecke_orbit_code': 4504080697262392, 'p': 7}
  • id: 688754
    {'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4504080697262392, 'p': 11}
  • id: 688755
    {'charpoly_factorization': [[[-13, 0, 1], 6]], 'hecke_orbit_code': 4504080697262392, 'p': 13}
  • id: 688756
    {'charpoly_factorization': [[[6656, 0, 2601, 0, 102, 0, 1], 2]], 'hecke_orbit_code': 4504080697262392, 'p': 17}
  • id: 688757
    {'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4504080697262392, 'p': 19}
  • id: 688758
    {'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4504080697262392, 'p': 23}
  • id: 688759
    {'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4504080697262392, 'p': 29}
  • id: 688760
    {'charpoly_factorization': [[[-52, 0, 1], 6]], 'hecke_orbit_code': 4504080697262392, 'p': 31}
  • id: 688761
    {'charpoly_factorization': [[[-87412, 0, 12321, 0, -222, 0, 1], 2]], 'hecke_orbit_code': 4504080697262392, 'p': 37}
  • id: 688762
    {'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4504080697262392, 'p': 41}
  • id: 688763
    {'charpoly_factorization': [[[-218, -129, 0, 1], 4]], 'hecke_orbit_code': 4504080697262392, 'p': 43}
  • id: 688764
    {'charpoly_factorization': [[[336200, 0, 19881, 0, 282, 0, 1], 2]], 'hecke_orbit_code': 4504080697262392, 'p': 47}
  • id: 688765
    {'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4504080697262392, 'p': 53}
  • id: 688766
    {'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4504080697262392, 'p': 59}
  • id: 688767
    {'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4504080697262392, 'p': 61}
  • id: 688768
    {'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4504080697262392, 'p': 67}
  • id: 688769
    {'charpoly_factorization': [[[397832, 0, 45369, 0, 426, 0, 1], 2]], 'hecke_orbit_code': 4504080697262392, 'p': 71}
  • id: 688770
    {'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4504080697262392, 'p': 73}
  • id: 688771
    {'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4504080697262392, 'p': 79}
  • id: 688772
    {'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4504080697262392, 'p': 83}
  • id: 688773
    {'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4504080697262392, 'p': 89}
  • id: 688774
    {'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4504080697262392, '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': 8, 'hecke_orbit': 2, 'label': '312.2.h.b', 'level': 312, '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: 23014093
    {'hecke_orbit_code': 4504080697262392, 'n': 1, 'trace_an': 12}
  • id: 23014094
    {'hecke_orbit_code': 4504080697262392, 'n': 2, 'trace_an': 0}
  • id: 23014095
    {'hecke_orbit_code': 4504080697262392, 'n': 3, 'trace_an': 0}
  • id: 23014096
    {'hecke_orbit_code': 4504080697262392, 'n': 4, 'trace_an': -24}
  • id: 23014097
    {'hecke_orbit_code': 4504080697262392, 'n': 5, 'trace_an': 0}
  • id: 23014098
    {'hecke_orbit_code': 4504080697262392, 'n': 6, 'trace_an': 0}
  • id: 23014099
    {'hecke_orbit_code': 4504080697262392, 'n': 7, 'trace_an': 0}
  • id: 23014100
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  • id: 23014108
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  • id: 23014117
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  • id: 23014119
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  • id: 23014120
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  • id: 23014121
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  • id: 23014207
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  • id: 23014208
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  • id: 23014210
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  • id: 23014211
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  • id: 23014212
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  • id: 23014213
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  • id: 23014214
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  • id: 23014215
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  • id: 23014216
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  • id: 23014228
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  • id: 23014235
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  • id: 23014302
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  • id: 23014303
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  • id: 23014304
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  • id: 23014305
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  • id: 23014306
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  • id: 23014307
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  • id: 23014308
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  • id: 23014309
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  • id: 23014310
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  • id: 23014311
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  • id: 23014312
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  • id: 23014313
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  • id: 23014314
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  • id: 23014315
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  • id: 23014316
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  • id: 23014317
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  • id: 23014318
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  • id: 23014319
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  • id: 23014320
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  • id: 23014321
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  • id: 23014322
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  • id: 23014323
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  • id: 23014324
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  • id: 23014325
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  • id: 23014326
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  • id: 23014327
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  • id: 23014328
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  • id: 23014329
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  • id: 23014330
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  • id: 23014331
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  • id: 23014332
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  • id: 23014333
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  • id: 23014334
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  • id: 23014335
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  • id: 23014336
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  • id: 23014337
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  • id: 23014338
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  • id: 23014339
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  • id: 23014340
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  • id: 23014341
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  • id: 23014342
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  • id: 23014343
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  • id: 23014344
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  • id: 23014345
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  • id: 23014346
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  • id: 23014347
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  • id: 23014348
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  • id: 23014349
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  • id: 23014350
    {'hecke_orbit_code': 4504080697262392, 'n': 997, 'trace_an': 0}