Embedded newform data - 825.4.a.o.1.1

Formats: - HTML - YAML - JSON - 2025-04-10T08:45:14.150794

• 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': 1, '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': 3368, 'field_disc_factorization': [[2, 3], [421, 1]], 'field_poly': [11, -15, -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, [-11, -15, 1, 1]], [7, [174, -173, 16, 1]]], 'hecke_orbit': 15, 'hecke_orbit_code': 63050394850296633, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '825.4.a.o', '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': '825.4.a.o', 'nf_label': '3.3.3368.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}+3q^{3}+(3+2\\beta _{2})q^{4}-3\\beta _{1}q^{6}+\\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': [-1, 9, 0, -16], 'trace_hash': 1654889627060460448, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.902', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '23.485', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '279.465', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 'traces': [3, -1, 9, 7, 0, -3, -16, 3, 27, 0, 33, 21, -45, -116, 0, -85, 58, -9, -169, 0, -48, -11, -155, 9, 0, 167, 81, -100, -277, 0, -173, -97, 99, -146, 0, 63, -60, -169, -135, 0, 44, -348, 109, 77, 0, 425, -270, -255, -427, 0, 174, -45, 148, -27, 0, 168, -507, 783, -684, 0, -1038, -953, -144, -1129, 0, -33, -314, 366, -465, 0, -1459, 27, 1170, -1764, 0, 211, -176, 501, -506, 0, 243, 1040, 347, -300, 0, -527, -831, 33, -607, 0, -398, -687, -519, -1822, 0, -291, -1263, 2273, 297, 0, 813, -438, 1303, -257, 0, 1652, -355, 189, -13, 0, -180, 1440, 1394, -507, 0, -3269, -405, 3828, 82, 0, 363, -4542, 132, -3757, 0, -1044, 642, 2275, 327, 0, -1785, 231, 1500, -1554, 0, -46, -555, 1275, -77, 0, -810, -1511, 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• 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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'angles': [-0.37657218004467224, None, None, -0.22192893914078166, None, -0.30281077262425055, -0.20022476951323523, -0.25620914627929414, -0.3315065282785793, -0.4212270072958437, -0.28181732722738473, -0.07411055962517236, -0.33541416079528663, -0.24137864963221708, -0.2578036491237564, -0.3030523393721119, -0.3556248474292365, -0.19277473875171763, -0.2541725081154161, -0.23814959199180888, -0.1524459648459344, -0.2271760754901333, -0.27575679224289756, -0.2798236321068008, -0.252332382493166, -0.2679345809305512, -0.18747836305972884, -0.1715984005095724, -0.22775890415238556, -0.34367881540780343, -0.28161599864815984, -0.2613718775490695, -0.24676273400950785, -0.2698186888219462, -0.21506346775722443, -0.3901613962939516, -0.387487617928163, -0.37309487646500805, -0.2910282331040268, -0.40442770807247913, -0.3672867776181742, -0.26495265251126754, -0.43987736211211204, -0.2939527812212257, -0.3154347495864409, -0.2612141348376622, -0.209046701224512, -0.2681098880289808, 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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

  
  {'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, 18844, -171240, 32376, 65712, 0, -51984, 54768, -173184, -9336, 0, -3916, 26124, -52964, 217016, 0, -96628, -55328, 31704, 96728, 0, 65904, 33616, 88696, -2232, 0, 80808, 93264, -66528, -120336, 0, 32320, -82672, -1584, 71672, 0, 181536, -12688, 73564, -36168, 0, -30288, -7668, 53280, 13816, 0, 241736, 38200, -83400, -130500, 0, 34416, -48800, -103968, 213696, 0, 144408, 65544, 73008, 155244, 0, 63616, 128084, 61632, -54816, 0, 1452, 97704, 108424, 68526, 0, 97632, -73128, -79428, -24144, 0, 103128, -11880, -18360, 70584, 0, -136152, 134264, 88360, -82728, 0, -234220, 17208, 20152, 129696, 0, -142648, -41980, 4224, 74896, 0, 21600, -42788, 187712, -20856, 0, -83488, -64140, 64864, 45780, 0, 48560, 115792, 123360, 17956, 0, -29856, 67272, -118216, -22968, 0, 252472, -40056, 46824, 313760, 0, -17160, -8728, -4536, 661236, 0, -70344, -24600, -46200, 86496, 0, 412064, 8316, 9968, -171208, 0, 12728, -183136, -65112, -25440, 0, -60300, -74160, 30448, 39120, 0, -108408, 53868, 51704, -77960, 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: 47832296
    {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 63050394850296633, 'source_is_minimal': True, 'source_label': '825.4.a.o.1.1', 'source_level': 825, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050394850296633, 'target_is_minimal': True, 'target_label': '825.4.a.o.1.1', 'target_level': 825, 'twist_class_label': '825.4.a.o.1.1', 'twist_class_level': 825, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
  • id: 47832297
    {'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 63050394850296633, 'source_is_minimal': True, 'source_label': '825.4.a.o.1.1', 'source_level': 825, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 108086391124003243, 'target_is_minimal': False, 'target_label': '2475.4.a.y.1.3', 'target_level': 2475, 'twist_class_label': '825.4.a.o.1.1', 'twist_class_level': 825, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 4}
  • id: 47832298
    {'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 63050394850296633, 'source_is_minimal': True, 'source_label': '825.4.a.o.1.1', 'source_level': 825, 'target_conrey_index': 199, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58546932661879609, 'target_is_minimal': False, 'target_label': '825.4.c.n.199.1', 'target_level': 825, 'twist_class_label': '825.4.a.o.1.1', 'twist_class_level': 825, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 4}
  • id: 47832299
    {'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 63050394850296633, 'source_is_minimal': True, 'source_label': '825.4.a.o.1.1', 'source_level': 825, 'target_conrey_index': 199, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 58546932661879609, 'target_is_minimal': False, 'target_label': '825.4.c.n.199.6', 'target_level': 825, 'twist_class_label': '825.4.a.o.1.1', 'twist_class_level': 825, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 4}
  • id: 47832300
    {'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 63050394850296633, 'source_is_minimal': True, 'source_label': '825.4.a.o.1.1', 'source_level': 825, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 72057594105037625, 'target_is_minimal': True, 'target_label': '825.4.a.q.1.3', 'target_level': 825, 'twist_class_label': '825.4.a.o.1.1', 'twist_class_level': 825, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 4}
  • id: 47832301
    {'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 63050394850296633, 'source_is_minimal': True, 'source_label': '825.4.a.o.1.1', 'source_level': 825, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 94575592241891755, 'target_is_minimal': False, 'target_label': '2475.4.a.v.1.1', 'target_level': 2475, 'twist_class_label': '825.4.a.o.1.1', 'twist_class_level': 825, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 4}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 1377625
    {'charpoly_factorization': [[[-11, -15, 1, 1], 1]], 'hecke_orbit_code': 63050394850296633, 'p': 2}
  • id: 1377626
    {'charpoly_factorization': [[[-3, 1], 3]], 'hecke_orbit_code': 63050394850296633, 'p': 3}
  • id: 1377627
    {'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 63050394850296633, 'p': 5}
  • id: 1377628
    {'charpoly_factorization': [[[174, -173, 16, 1], 1]], 'hecke_orbit_code': 63050394850296633, 'p': 7}
  • id: 1377629
    {'charpoly_factorization': [[[-11, 1], 3]], 'hecke_orbit_code': 63050394850296633, 'p': 11}
  • id: 1377630
    {'charpoly_factorization': [[[-4936, 280, 45, 1], 1]], 'hecke_orbit_code': 63050394850296633, 'p': 13}
  • id: 1377631
    {'charpoly_factorization': [[[-2316, 695, -58, 1], 1]], 'hecke_orbit_code': 63050394850296633, 'p': 17}
  • id: 1377632
    {'charpoly_factorization': [[[41805, 7521, 169, 1], 1]], 'hecke_orbit_code': 63050394850296633, 'p': 19}
  • id: 1377633
    {'charpoly_factorization': [[[40361, 5443, 155, 1], 1]], 'hecke_orbit_code': 63050394850296633, 'p': 23}
  • id: 1377634
    {'charpoly_factorization': [[[-1432824, -4624, 277, 1], 1]], 'hecke_orbit_code': 63050394850296633, 'p': 29}
  • id: 1377635
    {'charpoly_factorization': [[[-3720456, -47112, 173, 1], 1]], 'hecke_orbit_code': 63050394850296633, 'p': 31}
  • id: 1377636
    {'charpoly_factorization': [[[-15147422, -148235, 60, 1], 1]], 'hecke_orbit_code': 63050394850296633, 'p': 37}
  • id: 1377637
    {'charpoly_factorization': [[[2957382, -72861, -44, 1], 1]], 'hecke_orbit_code': 63050394850296633, 'p': 41}
  • id: 1377638
    {'charpoly_factorization': [[[367740, -9648, -109, 1], 1]], 'hecke_orbit_code': 63050394850296633, 'p': 43}
  • id: 1377639
    {'charpoly_factorization': [[[-3504204, -103415, 270, 1], 1]], 'hecke_orbit_code': 63050394850296633, 'p': 47}
  • id: 1377640
    {'charpoly_factorization': [[[10118048, -61052, -148, 1], 1]], 'hecke_orbit_code': 63050394850296633, 'p': 53}
  • id: 1377641
    {'charpoly_factorization': [[[-84071174, -80411, 684, 1], 1]], 'hecke_orbit_code': 63050394850296633, 'p': 59}
  • id: 1377642
    {'charpoly_factorization': [[[-137885416, -49148, 1038, 1], 1]], 'hecke_orbit_code': 63050394850296633, 'p': 61}
  • id: 1377643
    {'charpoly_factorization': [[[-1599464, -47428, 314, 1], 1]], 'hecke_orbit_code': 63050394850296633, 'p': 67}
  • id: 1377644
    {'charpoly_factorization': [[[-46945715, 389647, 1459, 1], 1]], 'hecke_orbit_code': 63050394850296633, 'p': 71}
  • id: 1377645
    {'charpoly_factorization': [[[70378904, 226564, -1170, 1], 1]], 'hecke_orbit_code': 63050394850296633, 'p': 73}
  • id: 1377646
    {'charpoly_factorization': [[[8353348, -183457, 506, 1], 1]], 'hecke_orbit_code': 63050394850296633, 'p': 79}
  • id: 1377647
    {'charpoly_factorization': [[[6792264, -116064, -347, 1], 1]], 'hecke_orbit_code': 63050394850296633, 'p': 83}
  • id: 1377648
    {'charpoly_factorization': [[[-262736468, -747840, 607, 1], 1]], 'hecke_orbit_code': 63050394850296633, 'p': 89}
  • id: 1377649
    {'charpoly_factorization': [[[10470601, 408535, 1263, 1], 1]], 'hecke_orbit_code': 63050394850296633, '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': 15, 'label': '825.4.a.o', 'level': 825, 'portrait': 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', 'weight': 4}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 60088951
    {'hecke_orbit_code': 63050394850296633, 'n': 1, 'trace_an': 3}
  • id: 60088952
    {'hecke_orbit_code': 63050394850296633, 'n': 2, 'trace_an': -1}
  • id: 60088953
    {'hecke_orbit_code': 63050394850296633, 'n': 3, 'trace_an': 9}
  • id: 60088954
    {'hecke_orbit_code': 63050394850296633, 'n': 4, 'trace_an': 7}
  • id: 60088955
    {'hecke_orbit_code': 63050394850296633, 'n': 5, 'trace_an': 0}
  • id: 60088956
    {'hecke_orbit_code': 63050394850296633, 'n': 6, 'trace_an': -3}
  • id: 60088957
    {'hecke_orbit_code': 63050394850296633, 'n': 7, 'trace_an': -16}
  • id: 60088958
    {'hecke_orbit_code': 63050394850296633, 'n': 8, 'trace_an': 3}
  • id: 60088959
    {'hecke_orbit_code': 63050394850296633, 'n': 9, 'trace_an': 27}
  • id: 60088960
    {'hecke_orbit_code': 63050394850296633, 'n': 10, 'trace_an': 0}
  • id: 60088961
    {'hecke_orbit_code': 63050394850296633, 'n': 11, 'trace_an': 33}
  • id: 60088962
    {'hecke_orbit_code': 63050394850296633, 'n': 12, 'trace_an': 21}
  • id: 60088963
    {'hecke_orbit_code': 63050394850296633, 'n': 13, 'trace_an': -45}
  • id: 60088964
    {'hecke_orbit_code': 63050394850296633, 'n': 14, 'trace_an': -116}
  • id: 60088965
    {'hecke_orbit_code': 63050394850296633, 'n': 15, 'trace_an': 0}
  • id: 60088966
    {'hecke_orbit_code': 63050394850296633, 'n': 16, 'trace_an': -85}
  • id: 60088967
    {'hecke_orbit_code': 63050394850296633, 'n': 17, 'trace_an': 58}
  • id: 60088968
    {'hecke_orbit_code': 63050394850296633, 'n': 18, 'trace_an': -9}
  • id: 60088969
    {'hecke_orbit_code': 63050394850296633, 'n': 19, 'trace_an': -169}
  • id: 60088970
    {'hecke_orbit_code': 63050394850296633, 'n': 20, 'trace_an': 0}
  • id: 60088971
    {'hecke_orbit_code': 63050394850296633, 'n': 21, 'trace_an': -48}
  • id: 60088972
    {'hecke_orbit_code': 63050394850296633, 'n': 22, 'trace_an': -11}
  • id: 60088973
    {'hecke_orbit_code': 63050394850296633, 'n': 23, 'trace_an': -155}
  • id: 60088974
    {'hecke_orbit_code': 63050394850296633, 'n': 24, 'trace_an': 9}
  • id: 60088975
    {'hecke_orbit_code': 63050394850296633, 'n': 25, 'trace_an': 0}
  • id: 60088976
    {'hecke_orbit_code': 63050394850296633, 'n': 26, 'trace_an': 167}
  • id: 60088977
    {'hecke_orbit_code': 63050394850296633, 'n': 27, 'trace_an': 81}
  • id: 60088978
    {'hecke_orbit_code': 63050394850296633, 'n': 28, 'trace_an': -100}
  • id: 60088979
    {'hecke_orbit_code': 63050394850296633, 'n': 29, 'trace_an': -277}
  • id: 60088980
    {'hecke_orbit_code': 63050394850296633, 'n': 30, 'trace_an': 0}
  • id: 60088981
    {'hecke_orbit_code': 63050394850296633, 'n': 31, 'trace_an': -173}
  • id: 60088982
    {'hecke_orbit_code': 63050394850296633, 'n': 32, 'trace_an': -97}
  • id: 60088983
    {'hecke_orbit_code': 63050394850296633, 'n': 33, 'trace_an': 99}
  • id: 60088984
    {'hecke_orbit_code': 63050394850296633, 'n': 34, 'trace_an': -146}
  • id: 60088985
    {'hecke_orbit_code': 63050394850296633, 'n': 35, 'trace_an': 0}
  • id: 60088986
    {'hecke_orbit_code': 63050394850296633, 'n': 36, 'trace_an': 63}
  • id: 60088987
    {'hecke_orbit_code': 63050394850296633, 'n': 37, 'trace_an': -60}
  • id: 60088988
    {'hecke_orbit_code': 63050394850296633, 'n': 38, 'trace_an': -169}
  • id: 60088989
    {'hecke_orbit_code': 63050394850296633, 'n': 39, 'trace_an': -135}
  • id: 60088990
    {'hecke_orbit_code': 63050394850296633, 'n': 40, 'trace_an': 0}
  • id: 60088991
    {'hecke_orbit_code': 63050394850296633, 'n': 41, 'trace_an': 44}
  • id: 60088992
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  • id: 60088993
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  • id: 60088994
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  • id: 60088995
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  • id: 60088996
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  • id: 60088997
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  • id: 60088998
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  • id: 60088999
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  • id: 60089000
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  • id: 60089001
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  • id: 60089002
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  • id: 60089003
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  • id: 60089004
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  • id: 60089005
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  • id: 60089006
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  • id: 60089007
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  • id: 60089008
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  • id: 60089009
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  • id: 60089010
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  • id: 60089011
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  • id: 60089012
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  • id: 60089013
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  • id: 60089014
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  • id: 60089015
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  • id: 60089016
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  • id: 60089017
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  • id: 60089018
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  • id: 60089019
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  • id: 60089020
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  • id: 60089021
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  • id: 60089022
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  • id: 60089023
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  • id: 60089024
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  • id: 60089025
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  • id: 60089026
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  • id: 60089027
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  • id: 60089028
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  • id: 60089029
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  • id: 60089030
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  • id: 60089031
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  • id: 60089032
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  • id: 60089033
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  • id: 60089034
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  • id: 60089035
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  • id: 60089036
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  • id: 60089037
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  • id: 60089038
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  • id: 60089039
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  • id: 60089040
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  • id: 60089041
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  • id: 60089042
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  • id: 60089043
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  • id: 60089044
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  • id: 60089045
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  • id: 60089046
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  • id: 60089047
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  • id: 60089048
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  • id: 60089049
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  • id: 60089050
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  • id: 60089051
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  • id: 60089052
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  • id: 60089053
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  • id: 60089054
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  • id: 60089055
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  • id: 60089056
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  • id: 60089057
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  • id: 60089058
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  • id: 60089059
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  • id: 60089060
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  • id: 60089061
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  • id: 60089062
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  • id: 60089063
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  • id: 60089064
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  • id: 60089065
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  • id: 60089066
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  • id: 60089067
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  • id: 60089068
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  • id: 60089069
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  • id: 60089070
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  • id: 60089071
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  • id: 60089072
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  • id: 60089073
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  • id: 60089074
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  • id: 60089075
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  • id: 60089076
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  • id: 60089077
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  • id: 60089078
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  • id: 60089079
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  • id: 60089080
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  • id: 60089081
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  • id: 60089082
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  • id: 60089083
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  • id: 60089084
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  • id: 60089085
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  • id: 60089086
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  • id: 60089087
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  • id: 60089088
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  • id: 60089089
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  • id: 60089090
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  • id: 60089091
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  • id: 60089092
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  • id: 60089093
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  • id: 60089094
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  • id: 60089095
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  • id: 60089096
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  • id: 60089097
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  • id: 60089098
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  • id: 60089099
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  • id: 60089100
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  • id: 60089101
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  • id: 60089102
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  • id: 60089103
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  • id: 60089104
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  • id: 60089105
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  • id: 60089106
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  • id: 60089107
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  • id: 60089108
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  • id: 60089109
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  • id: 60089110
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  • id: 60089111
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  • id: 60089112
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  • id: 60089113
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  • id: 60089114
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  • id: 60089115
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  • id: 60089116
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  • id: 60089117
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  • id: 60089118
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  • id: 60089119
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  • id: 60089120
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  • id: 60089121
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  • id: 60089122
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  • id: 60089123
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  • id: 60089124
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  • id: 60089125
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  • id: 60089126
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  • id: 60089127
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  • id: 60089128
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  • id: 60089129
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  • id: 60089130
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  • id: 60089131
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  • id: 60089132
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  • id: 60089133
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  • id: 60089134
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  • id: 60089135
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  • id: 60089136
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  • id: 60089137
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  • id: 60089138
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  • id: 60089139
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  • id: 60089140
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  • id: 60089141
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  • id: 60089142
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  • id: 60089143
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  • id: 60089144
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  • id: 60089145
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  • id: 60089146
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  • id: 60089148
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  • id: 60089150
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  • id: 60089151
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  • id: 60089152
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  • id: 60089153
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  • id: 60089154
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  • id: 60089155
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  • id: 60089156
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  • id: 60089157
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  • id: 60089160
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  • id: 60089161
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  • id: 60089162
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  • id: 60089163
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  • id: 60089166
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  • id: 60089167
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  • id: 60089168
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  • id: 60089169
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  • id: 60089170
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  • id: 60089171
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  • id: 60089172
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  • id: 60089175
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  • id: 60089180
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  • id: 60089181
    {'hecke_orbit_code': 63050394850296633, 'n': 823, 'trace_an': 46220}
  • id: 60089182
    {'hecke_orbit_code': 63050394850296633, 'n': 827, 'trace_an': 36687}
  • id: 60089183
    {'hecke_orbit_code': 63050394850296633, 'n': 829, 'trace_an': 28570}
  • id: 60089184
    {'hecke_orbit_code': 63050394850296633, 'n': 839, 'trace_an': -99636}
  • id: 60089185
    {'hecke_orbit_code': 63050394850296633, 'n': 841, 'trace_an': 12810}
  • id: 60089186
    {'hecke_orbit_code': 63050394850296633, 'n': 853, 'trace_an': -42322}
  • id: 60089187
    {'hecke_orbit_code': 63050394850296633, 'n': 857, 'trace_an': -44928}
  • id: 60089188
    {'hecke_orbit_code': 63050394850296633, 'n': 859, 'trace_an': 31550}
  • id: 60089189
    {'hecke_orbit_code': 63050394850296633, 'n': 863, 'trace_an': 70429}
  • id: 60089190
    {'hecke_orbit_code': 63050394850296633, 'n': 877, 'trace_an': -43291}
  • id: 60089191
    {'hecke_orbit_code': 63050394850296633, 'n': 881, 'trace_an': -35301}
  • id: 60089192
    {'hecke_orbit_code': 63050394850296633, 'n': 883, 'trace_an': 101572}
  • id: 60089193
    {'hecke_orbit_code': 63050394850296633, 'n': 887, 'trace_an': 3630}
  • id: 60089194
    {'hecke_orbit_code': 63050394850296633, 'n': 907, 'trace_an': -61198}
  • id: 60089195
    {'hecke_orbit_code': 63050394850296633, 'n': 911, 'trace_an': 81074}
  • id: 60089196
    {'hecke_orbit_code': 63050394850296633, 'n': 919, 'trace_an': 71354}
  • id: 60089197
    {'hecke_orbit_code': 63050394850296633, 'n': 929, 'trace_an': -5051}
  • id: 60089198
    {'hecke_orbit_code': 63050394850296633, 'n': 937, 'trace_an': 33882}
  • id: 60089199
    {'hecke_orbit_code': 63050394850296633, 'n': 941, 'trace_an': 3052}
  • id: 60089200
    {'hecke_orbit_code': 63050394850296633, 'n': 947, 'trace_an': 10376}
  • id: 60089201
    {'hecke_orbit_code': 63050394850296633, 'n': 953, 'trace_an': -56128}
  • id: 60089202
    {'hecke_orbit_code': 63050394850296633, 'n': 961, 'trace_an': 34780}
  • id: 60089203
    {'hecke_orbit_code': 63050394850296633, 'n': 967, 'trace_an': -57492}
  • id: 60089204
    {'hecke_orbit_code': 63050394850296633, 'n': 971, 'trace_an': -20642}
  • id: 60089205
    {'hecke_orbit_code': 63050394850296633, 'n': 977, 'trace_an': 27990}
  • id: 60089206
    {'hecke_orbit_code': 63050394850296633, 'n': 983, 'trace_an': -37099}
  • id: 60089207
    {'hecke_orbit_code': 63050394850296633, 'n': 991, 'trace_an': -102628}
  • id: 60089208
    {'hecke_orbit_code': 63050394850296633, 'n': 997, 'trace_an': 17178}