Embedded newform data - 50.6.e.a.39.7

Formats: - HTML - YAML - JSON - 2024-05-24T22:03:56.121357

• 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_polredabs	boolean
  is_rm	boolean
  is_self_dual	boolean
  is_self_twist	boolean
  is_twist_minimal	boolean
  label	text
  level	integer
  level_is_powerful	boolean
  level_is_prime	boolean
  level_is_prime_power	boolean
  level_is_prime_square	boolean
  level_is_square	boolean
  level_is_squarefree	boolean
  level_primes	integer[]
  level_radical	integer
  minimal_twist	text
  nf_label	text
  prim_orbit_index	smallint
  projective_field	numeric[]
  projective_field_label	text
  projective_image	text
  projective_image_type	text
  qexp_display	text
  related_objects	text[]
  relative_dim	integer
  rm_discs	integer[]
  sato_tate_group	text
  self_twist_discs	integer[]
  self_twist_type	smallint
  space_label	text
  trace_display	numeric[]
  trace_hash	bigint
  trace_moments	numeric[]
  trace_zratio	numeric
  traces	numeric[]
  weight	smallint
  weight_parity	smallint

  
  {'Nk2': 1800, 'analytic_conductor': 8.019190990649031, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 25, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 10, 'char_parity': 1, 'char_values': [50, 10, [27], [7]], 'cm_discs': [], 'conrey_index': 9, 'dim': 48, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 274978570290, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 25, 5, 1, 10, 0]], 'is_cm': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '50.6.e.a', 'level': 50, '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, 5], 'level_radical': 10, 'minimal_twist': '50.6.e.a', 'prim_orbit_index': 5, 'related_objects': [], 'relative_dim': 12, 'rm_discs': [], 'sato_tate_group': '5.2.3.c10', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '50.6.e', 'trace_display': [0, 0, 180, 0], 'traces': [48, 0, 0, 192, 180, 72, 0, 0, 686, 80, 716, -160, 0, -784, -940, -3072, 1910, 0, -5990, -640, -4344, 4720, 12410, 4608, 23660, -15248, 27600, -3040, -17170, -14720, -18834, 0, -56930, 11696, 28450, -10976, 3540, 0, 13432, -1280, 37146, -43560, 0, 1184, 75240, 28672, -17830, -2560, -54656, 8800, -85984, 0, 22350, 16080, -64730, 12544, 0, 0, 18000, 78720, 67086, -159600, 132820, 49152, -195820, -52256, -90790, 0, -212608, 180080, -122874, 0, 121200, 281456, 672810, -102400, 434040, 170720, 113600, -28160, 115878, 0, -582750, -174816, 107770, -26888, -911580, -56960, -357730, -282920, -216324, 451040, 0, 79136, 135000, 18432, -123520, -206240, 235252, -84160, -715644, -324720, 1124750, -41472, 99160, 611792, 0, -57440, -702680, 297440, -1357354, -151040, 394680, -796880, -935310, -96800, 2012530, 0, 1294978, 304640, 1153214, 256680, 390870, 35584, 187710, -224608, 1101140, 0, 1172062, -343920, 1485466, 0, -2797090, -561224, -194770, -187136, -3196130, -350840, -948750, -711360, -1909054, 226800, 0, 254976, 2263170, 960272, 943400, 56640, 1387720, 2011320, -662024, 0, 4334200, 415472, -2285520, 351008, 0, -2908080, -3230868, 20480, 86486, -3325520, -1534350, -594336, -6194280, 363512, 836620, 0, 1043226, 134440, 4518770, 1094880, 3295230, 3502400, 4785390, -328704, 2343900, 3477600, 1429610, 636640, 2601896, 0, -6693260, 80128, 1747790, 1415144, -6762830, -1103520, -5258080, -5541520, -272994, 0, 0, -953424, 3567280, -142944, 1540530, 996920, 4775700, 382720, -7869124, 2671520, -148810, -752096, -7547070, 1120672, 0, -675840, -2963050, -1547120, -2016074, -1531520, -58170, 1728496, -6128730, 1319040, 5314770, 0, 3594372, 1058240, 5160346, 2193280, 4184210, 802816, 6265890, -4197408, 8744620, 3009120, -2288650, 672440, 3133162, 0, -4352950, 141704, -1881060, -288000, -5833700, 45520, -5876870, -540160, 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175843738, -1146880, -126187086, -57889840, 28374360, 7984544, 368199130, 154470264, 160396500, 0, 254426890, -69885600, -12280224, 240490080, 196720010, 66884576, -18426460, -13748224, -29352050, 228283120, 185233540, 181864960, 138494130, 0, 175051430, -37669504, 37539520, 201060280, -146573830, 86800480, -29126648, -286118320, -105610554, -20295680, 0, -45146128, 43031700, -43482592, -95879450, -241556240, -354838060, 38030720], 'weight': 6, '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], [0.4156269377774534, 0.5720614028176843], [-1.7813162587427087, -0.578784737685418], [-0.15450849718747373, 0.47552825814757677], [0.22261449498461613, 0.9749065527642864], [-0.4092626128646362, -1.25958080599482], [0.0, -1.4332281218066762], [-0.3362492559819787, 0.10925400611220527], [2.029078846708595, 1.4742120748098646], [-0.46518182933516017, 0.5325465854330436], [1.1343211333508918, -0.824132543794663], [0.550456996307898, -0.7576390577150584], [0.1817143498135259, -0.25010834577351143], [0.8198944899184821, -0.5956882154030398], [0.1677142140615788, -1.8654627652784725], [-0.20225424859373686, -0.14694631307311828], [0.618119723233949, -0.20083927270874283], [0.0, 1.7734799417635778], [0.012060847582860943, 0.03711947205015107], [-0.4979914459648812, -0.04477186332739346], [-0.8295305625232415, 2.553032555861508], [0.9429088382217632, 0.3063696532903379], [-0.17783978963755595, -0.24477547119752877], [0.6622008179395713, 0.0], [-0.9008855732454887, 0.4340566598016293], [0.2186027099028221, 0.0], [-1.6602656982856248, -2.2851596902987823], [0.6815404722908518, 0.22144592322717507], [0.4920586897196733, -1.5144009286742646], [1.136865791621526, -0.6793937481020198], [0.32037172153660065, 0.9860027731496903], [0.0, -0.1767766952966369], [-2.4975800156516104, 0.8115129400028986], [0.3717996038342201, 0.270128224081106], [1.3972634875553795, -0.3190573545337431], [-1.0145394233542975, 0.7371060374049323], [0.7422858011235404, -1.021668756488902], [-0.016221804104996154, 0.02232739788754177], [-0.4684496190711494, 0.3403485704831012], [-0.1813664047839194, -0.30349007762323216], [0.06357518115168302, 0.04619007283234256], [-1.8052666328396954, 0.5865666859616754], [0.0, -1.2237614942287345], [0.2166360593913694, 0.666737233547338], [-0.9855166491523702, 2.3063432402656314], [0.0661115922465741, -0.20347055907372427], [0.9455672357849421, 0.3072334190190323], [0.275228498153949, 0.3788195288575292], 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[-0.22178106724849592, 0.16113337726244917], [0.5309953124530413, -0.7308523479153078], [-0.13285287676860694, 0.18285629766689537], [-0.6106206578054707, 0.44364187637428304], [-0.4571289823596311, -0.19533442163344678], [-0.5741316616717367, -0.4171310688789021], [2.3894688400487407, -0.7763854896666319], [0.0, -0.02377607775871865], [-0.011258853983778646, -0.03465118955333556], [-3.048925645329017, -2.6632502169697183], [0.37492338469692327, -1.1538955287837451], [-0.5514486395530851, -0.17917652445163784], [0.4582860760013626, 0.6307766694119536], [-0.06362098556057086, 0.0], [0.004922633541077146, -0.027155612750769168], [-2.001212661827565, 0.0], [0.19357768362336825, 0.2664368239458928], [-0.4275928544673862, -0.13893334038490446], [-0.2110194714704771, 0.6494511533681103], [0.09030476756052525, -0.2113346237286909], [-0.011613178856999083, -0.0357416893824578], [0.0, 4.181649489089469], [-0.9604708026929936, 0.31207588145158316], [0.2340683515810354, 0.17006061188373306], 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-0.11719651580335738, -0.16916640775153416, -0.1383922768478441, -0.3502524689875913, -0.31778468977947144, -0.3904833739660534, -0.116405495113774, 0.11833281292638867, -0.4899104850250656, -0.23829881612942125, -0.06475250817924316, -0.31933518484343404, -0.2233538789598068, -0.391447658755724, -0.12441385949718284, 0.25778168932707834, -0.19662154599330625, -0.004560385246196975, -0.41609163055764004, -0.30772878976734064, -0.358187260357044, -0.14848365589842705, 0.1987084226587716, -0.43669721533842587, -0.338615499417089, -0.08228836284380707, -0.3065912220940461, -0.44305830383958605, -0.16832899066727833, 0.036975939130988615, -0.03944390430694149, -0.19876783092388203, -0.303024064502298, -0.05651265005138822, -0.0420402062131432, -0.4539884140788782, -0.27198092197922474, -0.3559826164866379, -0.15206420948148933, -0.28060430353991705, 0.01044725979547151, -0.3807126724313433, -0.4756319430285104, 0.16615861878589985, -0.0643159606249988, -0.45816978661000807, 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• mf_newspaces •

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

  
  {'Nk2': 1800, 'analytic_conductor': 8.019190990649031, 'char_conductor': 25, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 10, 'char_parity': 1, 'char_values': [50, 10, [27], [7]], 'conrey_index': 9, 'cusp_dim': 144, 'dim': 48, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [], 'hecke_orbit_code': 274978570290, 'hecke_orbit_dims': [48], 'label': '50.6.e', 'level': 50, '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, 5], 'level_radical': 10, 'mf_dim': 160, 'mf_new_dim': 48, 'num_forms': 1, 'prim_orbit_index': 5, 'relative_dim': 12, 'sturm_bound': 45, 'trace_bound': 0, 'trace_display': [0, 0, 180, 0], 'traces': [48, 0, 0, 192, 180, 72, 0, 0, 686, 80, 716, -160, 0, -784, -940, -3072, 1910, 0, -5990, -640, -4344, 4720, 12410, 4608, 23660, -15248, 27600, -3040, -17170, -14720, 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0, -45146128, 43031700, -43482592, -95879450, -241556240, -354838060, 38030720], 'weight': 6, '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: 3022151
    {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 39, 'source_dim': 48, 'source_embedding_index': 7, 'source_hecke_orbit_code': 274978570290, 'source_is_minimal': True, 'source_label': '50.6.e.a.39.7', 'source_level': 50, 'target_conrey_index': 39, 'target_dim': 48, 'target_embedding_index': 7, 'target_hecke_orbit_code': 274978570290, 'target_is_minimal': True, 'target_label': '50.6.e.a.39.7', 'target_level': 50, 'twist_class_label': '50.6.e.a.9.7', 'twist_class_level': 50, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 6}
  • id: 3022152
    {'conductor': 25, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 39, 'source_dim': 48, 'source_embedding_index': 7, 'source_hecke_orbit_code': 274978570290, 'source_is_minimal': True, 'source_label': '50.6.e.a.39.7', 'source_level': 50, 'target_conrey_index': 9, 'target_dim': 48, 'target_embedding_index': 7, 'target_hecke_orbit_code': 274978570290, 'target_is_minimal': True, 'target_label': '50.6.e.a.9.7', 'target_level': 50, 'twist_class_label': '50.6.e.a.9.7', 'twist_class_level': 50, 'twisting_char_label': '25.9', 'twisting_conrey_index': 9, 'weight': 6}
• hecke_orbit_code 274978570290 does not appear in mf_hecke_charpolys
• mf_newform_portraits •

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

  
  {'char_orbit_index': 5, 'hecke_orbit': 1, 'label': '50.6.e.a', 'level': 50, 'portrait': 'data:image/png;base64,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', 'weight': 6}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 30456000
    {'hecke_orbit_code': 274978570290, 'n': 1, 'trace_an': 48}
  • id: 30456001
    {'hecke_orbit_code': 274978570290, 'n': 2, 'trace_an': 0}
  • id: 30456002
    {'hecke_orbit_code': 274978570290, 'n': 3, 'trace_an': 0}
  • id: 30456003
    {'hecke_orbit_code': 274978570290, 'n': 4, 'trace_an': 192}
  • id: 30456004
    {'hecke_orbit_code': 274978570290, 'n': 5, 'trace_an': 180}
  • id: 30456005
    {'hecke_orbit_code': 274978570290, 'n': 6, 'trace_an': 72}
  • id: 30456006
    {'hecke_orbit_code': 274978570290, 'n': 7, 'trace_an': 0}
  • id: 30456007
    {'hecke_orbit_code': 274978570290, 'n': 8, 'trace_an': 0}
  • id: 30456008
    {'hecke_orbit_code': 274978570290, 'n': 9, 'trace_an': 686}
  • id: 30456009
    {'hecke_orbit_code': 274978570290, 'n': 10, 'trace_an': 80}
  • id: 30456010
    {'hecke_orbit_code': 274978570290, 'n': 11, 'trace_an': 716}
  • id: 30456011
    {'hecke_orbit_code': 274978570290, 'n': 12, 'trace_an': -160}
  • id: 30456012
    {'hecke_orbit_code': 274978570290, 'n': 13, 'trace_an': 0}
  • id: 30456013
    {'hecke_orbit_code': 274978570290, 'n': 14, 'trace_an': -784}
  • id: 30456014
    {'hecke_orbit_code': 274978570290, 'n': 15, 'trace_an': -940}
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  • id: 30456120
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  • id: 30456121
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  • id: 30456122
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  • id: 30456123
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  • id: 30456124
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  • id: 30456125
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  • id: 30456136
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  • id: 30456997
    {'hecke_orbit_code': 274978570290, 'n': 998, 'trace_an': -241556240}
  • id: 30456998
    {'hecke_orbit_code': 274978570290, 'n': 999, 'trace_an': -354838060}
  • id: 30456999
    {'hecke_orbit_code': 274978570290, 'n': 1000, 'trace_an': 38030720}