Embedded newform data - 825.4.a.s.1.3

Formats: - HTML - YAML - JSON - 2025-04-07T11:28:42.100448

• 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': 13200, 'analytic_conductor': 48.67657575473601, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, 1], [11, -1]], 'atkin_lehner_string': '-+-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [825, 1, [551, 727, 376], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 23612, 'field_disc_factorization': [[2, 2], [5903, 1]], 'field_poly': [26, -20, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [44, -15, -4, 1]], [7, [3744, -428, -4, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81064793359778617, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '825.4.a.s', 'level': 825, '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': [3, 5, 11], 'level_radical': 165, 'minimal_twist': '165.4.a.d', 'nf_label': '3.3.23612.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(1+\\beta _{1})q^{2}+3q^{3}+(7+\\beta _{1}+\\beta _{2})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '825.4.a', 'trace_display': [4, 9, 0, 4], 'trace_hash': 1361216814737682396, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.032', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.897', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.277', 'prec': 17}, {'__RealLiteral__': 0, 'data': '22.724', 'prec': 20}, {'__RealLiteral__': 0, 'data': '5.986', 'prec': 17}, {'__RealLiteral__': 0, 'data': '258.468', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.002', 'prec': 17}, 'traces': [3, 4, 9, 22, 0, 12, 4, 48, 27, 0, 33, 66, 0, -56, 0, 50, 218, 36, 146, 0, 12, 44, 200, 144, 0, -508, 81, 340, 68, 0, -68, 688, 99, -176, 0, 198, 390, 316, 0, 0, -196, -168, 524, 242, 0, 1160, 60, 150, -157, 0, 654, -1020, 158, 108, 0, 1368, 438, -1092, -1044, 0, 642, -88, 36, 1166, 0, 132, 236, -144, 600, 0, -544, 432, -900, 1536, 0, 1996, 44, -1524, -1586, 0, 243, -380, 1582, 1020, 0, 3568, 204, 528, -2122, 0, -8, 4128, -204, -2152, 0, 2064, -618, -572, 297, 0, -72, -528, 2408, -3572, 0, 992, 790, 594, 602, 0, 1170, 1260, 1354, 948, 0, 2896, 0, -6312, -1328, 0, 363, -72, -588, -3592, 0, -504, -1608, -400, 1572, 0, 600, 726, 1560, -5424, 0, -3016, 1950, 3480, -5762, 0, 180, 3344, 0, 450, 0, 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'weight': 4, '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

  
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[-0.5044827449761214, 0.0], [0.3208493480184845, 0.0], [0.0, 0.0], [0.028749990684948518, 0.0], [-0.7596495618312091, 0.0], [-1.6586263935589864, 0.0], [-4.881439144395469, 0.0], [0.0, 0.0], [0.6911163289422343, 0.0], [0.6058142048458066, 0.0], [-2.0667473216017913, 0.0], [-0.5296846348050024, 0.0], [0.0, 0.0], [-0.21915272315837867, 0.0], [-0.370335377378118, 0.0], [-1.0447594925017536, 0.0], [-0.41713914727076973, 0.0], [0.0, 0.0], [-0.9510116689033152, 0.0], [0.06414489493561586, 0.0], [2.453879291538166, 0.0], [-0.4435193681450575, 0.0], [0.0, 0.0], [-0.32597374926995615, 0.0], [-2.910450118233633, 0.0], [0.26778853702774097, 0.0], [0.12548911479786543, 0.0], [0.0, 0.0], [1.1535788172667434, 0.0], [-0.7863266862231423, 0.0], [0.24697267898556083, 0.0], [-0.15383556364513845, 0.0], [0.0, 0.0], [0.9056352664492031, 0.0], [0.1578359131477571, 0.0], [-0.9192215420732094, 0.0], [-2.295930679049832, 0.0], [0.0, 0.0], [-1.108760402566987, 0.0], [1.608439430830978, 0.0], [1.4040256373805604, 0.0], [-0.15808354557202492, 0.0], [0.0, 0.0], [0.36798297381404177, 0.0], [-1.276906174781978, 0.0], [-1.7076834435397064, 0.0], [-1.3497345357884227, 0.0], [0.0, 0.0], [-0.16767741291329324, 0.0], [-0.4037635482788981, 0.0], [-3.6582689249796454, 0.0], [2.3750041525040912, 0.0], [0.0, 0.0], [1.457605363380411, 0.0], [-1.7300726255781427, 0.0], [-0.15514475432908917, 0.0], [0.16018709795586314, 0.0], [0.0, 0.0], [-1.327061653505795, 0.0], [-1.74927349581644, 0.0], [-0.8805851446085695, 0.0], [0.22058373810882256, 0.0], [0.0, 0.0]], 'angles': [-0.059855646708996686, None, None, -0.20505936201181874, None, -0.369556323982967, -0.2695150709224193, -0.1583363263982985, -0.04300177720529121, -0.22050846313301536, -0.31732212690063283, -0.15287161592960932, -0.3207901814218363, -0.14435528663356015, -0.35795544561505316, -0.3045984104667423, -0.44514325585305375, -0.28428861489234586, -0.2891193417639146, -0.23769096544254578, -0.21892363663822081, -0.3796496333747645, -0.3273511596411721, -0.29221607460073545, -0.2334974458922625, -0.12881916077012984, -0.13870561171094703, -0.18421271942168366, -0.156937291804189, -0.013312083666257949, -0.3782992110203159, -0.2078166855833268, -0.31513780261190866, -0.4043450116029871, -0.36473363976184664, -0.36864723008211653, -0.3075306270134544, -0.13661966566615993, -0.36977698682068433, -0.268825560132214, -0.14685868727337992, -0.2357586774735001, -0.3769919017646728, -0.37333248217925186, -0.12457647464203338, -0.26695772835042664, -0.37684860003848397, -0.1930408964591142, -0.19984687212254834, -0.1950147702409494, -0.24159444305854244, -0.2809533976321284, -0.2459408573727537, -0.395345289919099, -0.34101323263214944, -0.16338285225358057, -0.21518482575336514, -0.13047631756273437, -0.23561356769120884, -0.2935416113427898, -0.14338902251865845, -0.1299011723613809, -0.25296159818875635, -0.16243875744423247, -0.2051868219041615, -0.28039065452685813, -0.27144881352363637, -0.2811531992701147, 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-0.3272503685523514, -0.27863613681894817, -0.1516607683113259, -0.24882476074610413, -0.17085471120561974, -0.28546116168228725, -0.32232900272251075, -0.25256937897084325, -0.311514794657433, -0.2807601115429328, -0.3926595053968301, -0.24713679540143427, -0.14217365576636226, -0.20034608427406, -0.31528050410707276, -0.18887842477160016, -0.16316366175126143, -0.12155593825829551, -0.20719757387226187, -0.21738641893668473, -0.2465352113896711, -0.11373659021134704, -0.250269150885754, -0.25175650372873204, -0.3728130949740205, -0.24368943029809997, -0.2650606621053082, -0.23880672700370184, -0.1834164865801873, -0.32146068648682113, -0.23214115731560694, -0.14708190481912156, -0.2241064824825144, -0.21370370522730675, -0.1655899051611004, -0.20365079591964644, -0.25056846302142677, -0.19098889243695166, -0.3163807232958704, -0.3681092721857572, -0.2308940858124325, -0.15408647713622578, -0.215359480592756, -0.2855545751325383, -0.30053521477711953, -0.24771206963319928, -0.20102140446072672, -0.33747782213467636, -0.31430965446519704, -0.17520943168702405, -0.10129176086385681, -0.41286668836315543, -0.12003857685663395, -0.4194500388230926], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 3, 'dual_embedding_m': 3, 'embedding_index': 3, 'embedding_m': 3, 'embedding_root_imag': 0.0, 'embedding_root_real': 4.261496659680396, 'hecke_orbit': 19, 'hecke_orbit_code': 81064793359778617, 'label': '825.4.a.s.1.3', 'level': 825, 'weight': 4}
• 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

  
  {'ALdims': [12, 9, 12, 14, 11, 14, 12, 10], 'Nk2': 13200, 'analytic_conductor': 48.67657575473601, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [825, 1, [551, 727, 376], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 348, 'dim': 94, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 67109689, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 7, 7, 7, 7], 'label': '825.4.a', 'level': 825, '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': [3, 5, 11], 'level_radical': 165, 'mf_dim': 372, 'mf_new_dim': 94, 'num_forms': 30, 'plus_dim': 52, 'prim_orbit_index': 1, 'relative_dim': 94, 'sturm_bound': 480, 'trace_bound': 4, 'trace_display': [4, 0, 0, -32], 'traces': [94, 4, 0, 356, 0, 12, -32, -36, 846, 0, 0, -24, 172, 28, 0, 1388, -24, 36, 32, 0, -36, 44, -108, 324, 0, 1532, 0, 216, 480, 0, -480, -84, 66, 368, 0, 3204, -236, 592, -504, 0, 560, -468, 584, 616, 0, -296, 172, 240, 4526, 0, 864, -232, 776, 108, 0, 252, 84, 1248, 40, 0, -5460, 2096, -288, 7972, 0, -264, 1344, 136, -1140, 0, -396, -324, -3740, -5776, 0, -248, -176, -852, 3824, 0, 7614, -2040, 1912, 2400, 0, -2552, -504, 924, -6700, 0, -3960, 2460, -1824, 9576, 0, 10044, 812, 6316, 0, 0, 9752, -1704, -1296, 18668, 0, 312, 800, -216, 5684, 0, -2520, 1440, 6740, 2496, 0, 3296, 1548, 2632, 3048, 0, 11374, 11748, -3912, -4256, 0, 252, -4336, -6940, -3876, 0, -1080, 792, -1200, -2304, 0, 2112, -3988, 6072, -6728, 0, 3012, -5288, -1628, 12492, 0, -17208, 696, -1448, 424, 0, -2168, -1968, -216, -2816, 0, -2376, 2692, -18412, -396, 0, 1432, 324, -5824, 4752, 0, -8784, -10560, 5388, 2346, 0, 288, 20632, 1480, 1200, 0, 5808, 1296, -32, -360, 0, -15940, -7816, -2592, 12328, 0, -2760, 4136, -17964, 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-74304, 0, 9504, -82300, 756, -75400, 0, -66360, 12848, -40872, -38424, 0, -28780, 11232, 52248, -140472, 0, -84376, -32480, -1584, 2198, 0, 360, 89336, 70632, 42888, 0, -130880, -7824, 44952, 16544, 0, -91164, 97772, -3048, -384, 0, -21024, -97112, -3240, -49140, 0, 54712, 71880, -24032, -22740, 0, -124320, 105016, 18864, 22648, 0, -264, 65064, -42704, 66852, 0, 65968, -2592, -58056, 11120, 0, 10064, -4356, -34620, -281448, 0, 71748, 9124, -1964, 20568, 0, 134864, -10080, -1320, -342936, 0, -53912, -61688, -20928, 63288, 0, -12624, 13960, 45776, -2376, 0, -86752, -12600, -170200, 249132, 0, -26172, 112544, 12096, 94048, 0, 71304, 115008, -51712, -32712, 0, -32696, 1224, 740, -209352, 0, -69872, 52868, -15072, -5512, 0, -10260, -93608, -157520, -4344, 0, 2296, 10560, -37232, 4320, 0, -30072, -195116, -28332, 76824, 0, -53004, 27516, -4488, -3564, 0, 173884, 73392, 68464, 254216, 0, 112360, -44188, -2916, -1584, 0, -47208, -29568, 138768, -82020, 0, -91664, -33660, 130336, 42160, 0, 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0, 229600, 75224, -68316, -11880, 0, -122976, -13048, -9344, -35640, 0, 81704, -168120, 3608, 481984, 0, 334400, -8376, 22140, -287812, 0, -5976, -113976, -158520, 72432, 0, 44616, -16416, 92800, 184340, 0, -129966, 220488, 64848, -129856, 0, 86184, -3872, 35716, -138132, 0, 131768, 164196, 18644, 119456, 0, 94120, 59312, -528, -42192, 0, 4464, 108744, -75092, 90396, 0, 218472, 9600, -179872, 46376, 0, 170840, 199836, 7308, -38608, 0, -202080, -99116, -153436, -57456, 0, -200372, 56844, 107280, -588040, 0, 484856, -27352, 210120, -180008, 0, 0, -117728, 66200, 66312, 0, -475476, -36216, 211264, -14496, 0, 256160, -23496, 3720, -341352, 0, -21708, 177936, 27600, 87768, 0, 26844, 47304, 9240, 206544, 0, -110040, -148864, -15336, 260744, 0, -72828, -116640, -46760, -26796, 0, -85024, -11664, -53088, -53580, 0, 183352, 308256, 49020, 101472, 0, 168012, 121948, -44192, 74760, 0, -288648, -179688, 65776, -49480, 0, 58872, -91104, -105216, -33624, 0, -193284, 90936, -29824, 2808, 0, -16928, 9768, -69112, 133728, 0, 202350, -119896, 7200, -72984, 0, -284256, 77312, -4356, 51960, 0, 243352, -1944, 19920, -133736, 0, -851352, 164380, -122016, -23584, 0, 51156, -359248, 206852, -144072, 0, -642448, -154536, 168808, 59720, 0, -25096, -374416, 2352, 128064, 0, 481176, -198860, -161840, -22680, 0], 'weight': 4, '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: 48218544
    {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 81064793359778617, 'source_is_minimal': False, 'source_label': '825.4.a.s.1.3', 'source_level': 825, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 81064793359778617, 'target_is_minimal': False, 'target_label': '825.4.a.s.1.3', 'target_level': 825, 'twist_class_label': '165.4.a.d.1.1', 'twist_class_level': 165, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
  • id: 48218545
    {'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 81064793359778617, 'source_is_minimal': False, 'source_label': '825.4.a.s.1.3', 'source_level': 825, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81064793359780267, 'target_is_minimal': False, 'target_label': '2475.4.a.s.1.1', 'target_level': 2475, 'twist_class_label': '165.4.a.d.1.1', 'twist_class_level': 165, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 4}
  • id: 48218546
    {'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 81064793359778617, 'source_is_minimal': False, 'source_label': '825.4.a.s.1.3', 'source_level': 825, 'target_conrey_index': 199, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 49539733407138617, 'target_is_minimal': False, 'target_label': '825.4.c.l.199.6', 'target_level': 825, 'twist_class_label': '165.4.a.d.1.1', 'twist_class_level': 165, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 4}
  • id: 48218547
    {'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 81064793359778617, 'source_is_minimal': False, 'source_label': '825.4.a.s.1.3', 'source_level': 825, 'target_conrey_index': 199, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539733407138617, 'target_is_minimal': False, 'target_label': '825.4.c.l.199.1', 'target_level': 825, 'twist_class_label': '165.4.a.d.1.1', 'twist_class_level': 165, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 4}
  • id: 48218548
    {'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 81064793359778617, 'source_is_minimal': False, 'source_label': '825.4.a.s.1.3', 'source_level': 825, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798949220517, 'target_is_minimal': True, 'target_label': '165.4.a.d.1.1', 'target_level': 165, 'twist_class_label': '165.4.a.d.1.1', 'twist_class_level': 165, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 4}
  • id: 48218549
    {'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 81064793359778617, 'source_is_minimal': False, 'source_label': '825.4.a.s.1.3', 'source_level': 825, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 49539595968184815, 'target_is_minimal': False, 'target_label': '495.4.a.l.1.3', 'target_level': 495, 'twist_class_label': '165.4.a.d.1.1', 'twist_class_level': 165, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 4}
  • id: 48218550
    {'conductor': 55, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 81064793359778617, 'source_is_minimal': False, 'source_label': '825.4.a.s.1.3', 'source_level': 825, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 81064793359779607, 'target_is_minimal': False, 'target_label': '1815.4.a.s.1.3', 'target_level': 1815, 'twist_class_label': '165.4.a.d.1.1', 'twist_class_level': 165, 'twisting_char_label': '55.54', 'twisting_conrey_index': 54, 'weight': 4}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 1377725
    {'charpoly_factorization': [[[44, -15, -4, 1], 1]], 'hecke_orbit_code': 81064793359778617, 'p': 2}
  • id: 1377726
    {'charpoly_factorization': [[[-3, 1], 3]], 'hecke_orbit_code': 81064793359778617, 'p': 3}
  • id: 1377727
    {'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 81064793359778617, 'p': 5}
  • id: 1377728
    {'charpoly_factorization': [[[3744, -428, -4, 1], 1]], 'hecke_orbit_code': 81064793359778617, 'p': 7}
  • id: 1377729
    {'charpoly_factorization': [[[-11, 1], 3]], 'hecke_orbit_code': 81064793359778617, 'p': 11}
  • id: 1377730
    {'charpoly_factorization': [[[34144, -3560, 0, 1], 1]], 'hecke_orbit_code': 81064793359778617, 'p': 13}
  • id: 1377731
    {'charpoly_factorization': [[[235104, 9680, -218, 1], 1]], 'hecke_orbit_code': 81064793359778617, 'p': 17}
  • id: 1377732
    {'charpoly_factorization': [[[-30960, 5376, -146, 1], 1]], 'hecke_orbit_code': 81064793359778617, 'p': 19}
  • id: 1377733
    {'charpoly_factorization': [[[-1664, -2672, -200, 1], 1]], 'hecke_orbit_code': 81064793359778617, 'p': 23}
  • id: 1377734
    {'charpoly_factorization': [[[3163056, -54364, -68, 1], 1]], 'hecke_orbit_code': 81064793359778617, 'p': 29}
  • id: 1377735
    {'charpoly_factorization': [[[-1812096, -23232, 68, 1], 1]], 'hecke_orbit_code': 81064793359778617, 'p': 31}
  • id: 1377736
    {'charpoly_factorization': [[[-618952, 36460, -390, 1], 1]], 'hecke_orbit_code': 81064793359778617, 'p': 37}
  • id: 1377737
    {'charpoly_factorization': [[[-4364208, -26076, 196, 1], 1]], 'hecke_orbit_code': 81064793359778617, 'p': 41}
  • id: 1377738
    {'charpoly_factorization': [[[31273920, -28668, -524, 1], 1]], 'hecke_orbit_code': 81064793359778617, 'p': 43}
  • id: 1377739
    {'charpoly_factorization': [[[20966976, -135920, -60, 1], 1]], 'hecke_orbit_code': 81064793359778617, 'p': 47}
  • id: 1377740
    {'charpoly_factorization': [[[-39574952, -260852, -158, 1], 1]], 'hecke_orbit_code': 81064793359778617, 'p': 53}
  • id: 1377741
    {'charpoly_factorization': [[[-84227264, 64144, 1044, 1], 1]], 'hecke_orbit_code': 81064793359778617, 'p': 59}
  • id: 1377742
    {'charpoly_factorization': [[[22757384, -60548, -642, 1], 1]], 'hecke_orbit_code': 81064793359778617, 'p': 61}
  • id: 1377743
    {'charpoly_factorization': [[[-87537664, -462208, -236, 1], 1]], 'hecke_orbit_code': 81064793359778617, 'p': 67}
  • id: 1377744
    {'charpoly_factorization': [[[6553600, -129728, 544, 1], 1]], 'hecke_orbit_code': 81064793359778617, 'p': 71}
  • id: 1377745
    {'charpoly_factorization': [[[5609344, -299576, 900, 1], 1]], 'hecke_orbit_code': 81064793359778617, 'p': 73}
  • id: 1377746
    {'charpoly_factorization': [[[-14694992, 562208, 1586, 1], 1]], 'hecke_orbit_code': 81064793359778617, 'p': 79}
  • id: 1377747
    {'charpoly_factorization': [[[924645384, -307644, -1582, 1], 1]], 'hecke_orbit_code': 81064793359778617, 'p': 83}
  • id: 1377748
    {'charpoly_factorization': [[[293444632, 1406940, 2122, 1], 1]], 'hecke_orbit_code': 81064793359778617, 'p': 89}
  • id: 1377749
    {'charpoly_factorization': [[[223543736, -1291700, 618, 1], 1]], 'hecke_orbit_code': 81064793359778617, 'p': 97}
• mf_newform_portraits •

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

  
  {'char_orbit_index': 1, 'hecke_orbit': 19, 'label': '825.4.a.s', 'level': 825, 'portrait': 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', 'weight': 4}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 63415087
    {'hecke_orbit_code': 81064793359778617, 'n': 1, 'trace_an': 3}
  • id: 63415088
    {'hecke_orbit_code': 81064793359778617, 'n': 2, 'trace_an': 4}
  • id: 63415089
    {'hecke_orbit_code': 81064793359778617, 'n': 3, 'trace_an': 9}
  • id: 63415090
    {'hecke_orbit_code': 81064793359778617, 'n': 4, 'trace_an': 22}
  • id: 63415091
    {'hecke_orbit_code': 81064793359778617, 'n': 5, 'trace_an': 0}
  • id: 63415092
    {'hecke_orbit_code': 81064793359778617, 'n': 6, 'trace_an': 12}
  • id: 63415093
    {'hecke_orbit_code': 81064793359778617, 'n': 7, 'trace_an': 4}
  • id: 63415094
    {'hecke_orbit_code': 81064793359778617, 'n': 8, 'trace_an': 48}
  • id: 63415095
    {'hecke_orbit_code': 81064793359778617, 'n': 9, 'trace_an': 27}
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  • id: 63415319
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  • id: 63415320
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  • id: 63415321
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  • id: 63415323
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  • id: 63415325
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  • id: 63415326
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  • id: 63415327
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  • id: 63415328
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  • id: 63415330
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  • id: 63415331
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  • id: 63415335
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  • id: 63415336
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  • id: 63415338
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  • id: 63415339
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  • id: 63415340
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  • id: 63415341
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  • id: 63415342
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  • id: 63415343
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  • id: 63415344
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