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mf_newforms • Show schema
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{'Nk2': 6240, 'analytic_conductor': 12.45666271531974, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 33, 'char_orbit_label': 'bg', 'char_order': 3, 'char_parity': 1, 'char_values': [1560, 3, [391, 781, 521, 937, 1081], [3, 3, 3, 3, 1]], 'cm_discs': [], 'conrey_index': 601, 'conrey_indexes': [601, 841], 'dim': 4, 'field_disc': 3249, 'field_disc_factorization': [[3, 2], [19, 2]], 'field_poly': [25, -5, -4, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [1, 1, 1]], [11, [196, 14, 15, -1, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27023796821034520, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 3, 1, 3, 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mf_hecke_nf • Show schema
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[28, 28, 0, -12], [-64, 0, 2, 0], [-2, -2, 0, 9], [-14, 0, 14, 0], [46, 0, -8, 0], [16, 0, -5, 0], [7, 0, 13, 0], [0, 24, -5, 5], [0, -23, -15, 15], [-48, -48, 0, 8], [0, 12, 2, -2], [-24, -24, 0, 8], [0, 47, 3, -3], [0, 20, 11, -11], [-34, 0, -6, 0], [-46, 0, 2, 0], [37, 37, 0, -9], [-32, -32, 0, 2], [30, 30, 0, 3], [0, 50, 5, -5], [-26, 0, -8, 0], [28, 28, 0, -4]], 'char_orbit_index': 33, 'field_poly': [25, -5, -4, -1, 1], 'hecke_orbit_code': 27023796821034520, 'hecke_ring_character_values': [[391, [1, 0, 0, 0]], [781, [1, 0, 0, 0]], [521, [1, 0, 0, 0]], [937, [1, 0, 0, 0]], [1081, [0, 1, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 20, 5, 10], 'hecke_ring_inverse_denominators': [1, 3, 3, 3], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [-1, -2, 1, 1], [13, 14, 2, -1], [19, -4, -4, 8]], 'hecke_ring_numerators': [[1, 0, 0, 0], [-25, -4, 4, 1], [5, 9, 1, -1], [-25, 8, 2, 3]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '1560.2.bg.g', 'level': 1560, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 6240, 'analytic_conductor': 12.45666271531974, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 33, 'char_orbit_label': 'bg', 'char_order': 3, 'char_parity': 1, 'char_values': [1560, 3, [391, 781, 521, 937, 1081], [3, 3, 3, 3, 1]], 'conrey_index': 601, 'cusp_dim': 640, 'dim': 56, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 2199056811544, 'hecke_orbit_dims': [2, 2, 2, 2, 4, 4, 4, 6, 6, 6, 8, 10], 'label': '1560.2.bg', 'level': 1560, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'mf_dim': 704, 'mf_new_dim': 56, 'num_forms': 12, 'prim_orbit_index': 3, 'relative_dim': 28, 'sturm_bound': 672, 'trace_bound': 7, 'trace_display': [0, -4, 0, 4], 'traces': [56, 0, -4, 0, 0, 0, 4, 0, -28, 0, -4, 0, -4, 0, 0, 0, 8, 0, -12, 0, -8, 0, -8, 0, 56, 0, 8, 0, 8, 0, -32, 0, 0, 0, -4, 0, -8, 0, 12, 0, -24, 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mf_twists_nf • Show schema
Hide schema
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id: 758350
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 33, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '1560.2.bg.g', 'source_level': 1560, 'target_char_orbit': 33, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '1560.2.bg.g', 'target_level': 1560, 'twist_class_label': '1560.2.bg.g', 'twist_class_level': 1560, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 758351
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 33, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '1560.2.bg.g', 'source_level': 1560, 'target_char_orbit': 33, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '1560.2.bg.g', 'target_level': 1560, 'twist_class_label': '1560.2.bg.g', 'twist_class_level': 1560, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2037575
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 27023796821034520, 'p': 2}
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id: 2037576
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 27023796821034520, 'p': 3}
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id: 2037577
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 27023796821034520, 'p': 5}
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id: 2037578
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 27023796821034520, 'p': 7}
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id: 2037579
{'charpoly_factorization': [[[196, 14, 15, -1, 1], 1]], 'hecke_orbit_code': 27023796821034520, 'p': 11}
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id: 2037580
{'charpoly_factorization': [[[13, -5, 1], 2]], 'hecke_orbit_code': 27023796821034520, 'p': 13}
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id: 2037581
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 27023796821034520, 'p': 17}
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id: 2037582
{'charpoly_factorization': [[[144, -36, 21, 3, 1], 1]], 'hecke_orbit_code': 27023796821034520, 'p': 19}
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id: 2037583
{'charpoly_factorization': [[[3136, 112, 60, -2, 1], 1]], 'hecke_orbit_code': 27023796821034520, 'p': 23}
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id: 2037584
{'charpoly_factorization': [[[2304, 288, 84, -6, 1], 1]], 'hecke_orbit_code': 27023796821034520, 'p': 29}
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id: 2037585
{'charpoly_factorization': [[[-2, 7, 1], 2]], 'hecke_orbit_code': 27023796821034520, 'p': 31}
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id: 2037586
{'charpoly_factorization': [[[4, 14, 51, -7, 1], 1]], 'hecke_orbit_code': 27023796821034520, 'p': 37}
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id: 2037587
{'charpoly_factorization': [[[3136, -112, 60, 2, 1], 1]], 'hecke_orbit_code': 27023796821034520, 'p': 41}
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id: 2037588
{'charpoly_factorization': [[[4, -14, 51, 7, 1], 1]], 'hecke_orbit_code': 27023796821034520, 'p': 43}
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id: 2037589
{'charpoly_factorization': [[[-14, -1, 1], 2]], 'hecke_orbit_code': 27023796821034520, 'p': 47}
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id: 2037590
{'charpoly_factorization': [[[16, -11, 1], 2]], 'hecke_orbit_code': 27023796821034520, 'p': 53}
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id: 2037591
{'charpoly_factorization': [[[64, -112, 204, 14, 1], 1]], 'hecke_orbit_code': 27023796821034520, 'p': 59}
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id: 2037592
{'charpoly_factorization': [[[196, -14, 15, 1, 1], 1]], 'hecke_orbit_code': 27023796821034520, 'p': 61}
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id: 2037593
{'charpoly_factorization': [[[144, 36, 21, -3, 1], 1]], 'hecke_orbit_code': 27023796821034520, 'p': 67}
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id: 2037594
{'charpoly_factorization': [[[4, -2, 1], 2]], 'hecke_orbit_code': 27023796821034520, 'p': 71}
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id: 2037595
{'charpoly_factorization': [[[-128, -1, 1], 2]], 'hecke_orbit_code': 27023796821034520, 'p': 73}
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id: 2037596
{'charpoly_factorization': [[[6, 9, 1], 2]], 'hecke_orbit_code': 27023796821034520, 'p': 79}
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id: 2037597
{'charpoly_factorization': [[[-224, -4, 1], 2]], 'hecke_orbit_code': 27023796821034520, 'p': 83}
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id: 2037598
{'charpoly_factorization': [[[5776, -1444, 285, -19, 1], 1]], 'hecke_orbit_code': 27023796821034520, 'p': 89}
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id: 2037599
{'charpoly_factorization': [[[13456, 812, 165, -7, 1], 1]], 'hecke_orbit_code': 27023796821034520, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 33, 'hecke_orbit': 7, 'label': '1560.2.bg.g', 'level': 1560, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 185063000
{'hecke_orbit_code': 27023796821034520, 'n': 1, 'trace_an': 4}
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id: 185063001
{'hecke_orbit_code': 27023796821034520, 'n': 2, 'trace_an': 0}
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id: 185063002
{'hecke_orbit_code': 27023796821034520, 'n': 3, 'trace_an': 2}
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id: 185063003
{'hecke_orbit_code': 27023796821034520, 'n': 4, 'trace_an': 0}
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id: 185063004
{'hecke_orbit_code': 27023796821034520, 'n': 5, 'trace_an': 4}
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id: 185063005
{'hecke_orbit_code': 27023796821034520, 'n': 6, 'trace_an': 0}
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id: 185063006
{'hecke_orbit_code': 27023796821034520, 'n': 7, 'trace_an': -2}
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id: 185063007
{'hecke_orbit_code': 27023796821034520, 'n': 8, 'trace_an': 0}
-
id: 185063008
{'hecke_orbit_code': 27023796821034520, 'n': 9, 'trace_an': -2}
-
id: 185063009
{'hecke_orbit_code': 27023796821034520, 'n': 10, 'trace_an': 0}
-
id: 185063010
{'hecke_orbit_code': 27023796821034520, 'n': 11, 'trace_an': 1}
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id: 185063011
{'hecke_orbit_code': 27023796821034520, 'n': 12, 'trace_an': 0}
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id: 185063012
{'hecke_orbit_code': 27023796821034520, 'n': 13, 'trace_an': 10}
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id: 185063013
{'hecke_orbit_code': 27023796821034520, 'n': 14, 'trace_an': 0}
-
id: 185063014
{'hecke_orbit_code': 27023796821034520, 'n': 15, 'trace_an': 2}
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id: 185063015
{'hecke_orbit_code': 27023796821034520, 'n': 16, 'trace_an': 0}
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id: 185063016
{'hecke_orbit_code': 27023796821034520, 'n': 17, 'trace_an': 0}
-
id: 185063017
{'hecke_orbit_code': 27023796821034520, 'n': 18, 'trace_an': 0}
-
id: 185063018
{'hecke_orbit_code': 27023796821034520, 'n': 19, 'trace_an': -3}
-
id: 185063019
{'hecke_orbit_code': 27023796821034520, 'n': 20, 'trace_an': 0}
-
id: 185063020
{'hecke_orbit_code': 27023796821034520, 'n': 21, 'trace_an': -4}
-
id: 185063021
{'hecke_orbit_code': 27023796821034520, 'n': 22, 'trace_an': 0}
-
id: 185063022
{'hecke_orbit_code': 27023796821034520, 'n': 23, 'trace_an': 2}
-
id: 185063023
{'hecke_orbit_code': 27023796821034520, 'n': 24, 'trace_an': 0}
-
id: 185063024
{'hecke_orbit_code': 27023796821034520, 'n': 25, 'trace_an': 4}
-
id: 185063025
{'hecke_orbit_code': 27023796821034520, 'n': 26, 'trace_an': 0}
-
id: 185063026
{'hecke_orbit_code': 27023796821034520, 'n': 27, 'trace_an': -4}
-
id: 185063027
{'hecke_orbit_code': 27023796821034520, 'n': 28, 'trace_an': 0}
-
id: 185063028
{'hecke_orbit_code': 27023796821034520, 'n': 29, 'trace_an': 6}
-
id: 185063029
{'hecke_orbit_code': 27023796821034520, 'n': 30, 'trace_an': 0}
-
id: 185063030
{'hecke_orbit_code': 27023796821034520, 'n': 31, 'trace_an': -14}
-
id: 185063031
{'hecke_orbit_code': 27023796821034520, 'n': 32, 'trace_an': 0}
-
id: 185063032
{'hecke_orbit_code': 27023796821034520, 'n': 33, 'trace_an': -1}
-
id: 185063033
{'hecke_orbit_code': 27023796821034520, 'n': 34, 'trace_an': 0}
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id: 185063034
{'hecke_orbit_code': 27023796821034520, 'n': 35, 'trace_an': -2}
-
id: 185063035
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