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mf_newforms • Show schema
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{'Nk2': 5016, 'analytic_conductor': 10.01324041346856, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 19, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [1254, 3, [419, 343, 1123], [3, 3, 1]], 'cm_discs': [], 'conrey_index': 463, 'dim': 6, 'field_disc': -2696112, 'field_disc_factorization': [[-1, 1], [2, 4], [3, 3], [79, 2]], 'field_poly': [4, -8, 18, 0, 5, -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': [[5, [64, -48, 52, -4, 10, -2, 1]], [7, [8, 5, -6, 1]], [13, [2916, -1944, 1458, 0, 45, -3, 1]]], 'hecke_orbit': 16, 'hecke_orbit_code': 67554544199927014, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 19, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1254.2.i.p', 'level': 1254, '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': True, 'level_primes': [2, 3, 11, 19], 'level_radical': 1254, 'minimal_twist': '1254.2.i.p', 'nf_label': '6.0.2696112.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(-1+\\beta _{4})q^{2}+(1-\\beta _{4})q^{3}-\\beta _{4}q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1254.2.i', 'trace_display': [-3, 3, 2, 12], 'trace_hash': 2078613797922854653, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.019', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.876', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.090', 'prec': 17}, {'__RealLiteral__': 0, 'data': '131.212', 'prec': 24}, {'__RealLiteral__': 0, 'data': '144.552', 'prec': 24}, {'__RealLiteral__': 0, 'data': '5301.682', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.004', 'prec': 17}, 'traces': [6, -3, 3, -3, 2, 3, 12, 6, -3, 2, 6, -6, 3, -6, -2, -3, -2, 6, 3, -4, 6, -3, 10, 3, -1, -6, -6, -6, 3, 4, -20, -3, 3, -2, 14, -3, -24, 0, 6, 2, -8, 6, -7, -3, -4, -20, 7, 3, 10, 2, 2, 3, -26, 3, 2, 12, 0, -6, -2, -2, -3, 10, -6, 6, -24, 3, -6, 4, 20, 14, 7, -3, -6, 12, -2, -3, 12, -3, 6, 2, -3, -8, -38, -12, 2, -7, 6, 6, 37, 2, 18, 10, -10, -14, 14, -6, -1, -5, -3, -1, 15, -4, 18, 3, -14, 52, -18, 3, 37, 2, -12, -6, -42, 3, 52, 3, 3, -2, -26, -2, 6, 6, 8, 10, 0, 12, 8, -3, 7, 12, -5, -6, 36, 12, -2, -2, 9, -10, 20, -28, 14, 7, 3, 6, -44, -6, 5, 12, 14, 1, -84, 3, 4, -6, 8, -3, 38, 6, -52, -4, 26, -3, 4, 16, -2, 19, 2, 6, -42, -4, -3, 14, 6, -3, 6, -3, 2, -74, 8, 2, -38, -36, -6, 10, -8, -10, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 1, 0], [1, 0, 0, 0, -1, 0], [0, 0, 0, 0, -1, 0], [1, -1, 0, 0, -1, 1], [0, 0, 0, 0, 1, 0], [2, 0, 0, 1, 0, 0], [1, 0, 0, 0, 0, 0], [0, 0, 0, 0, -1, 0], [0, 1, 1, 1, 1, -1], [1, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0], [0, -3, -3, 0, 0, 0], [-2, 0, 0, 0, 2, -1], [0, -1, -1, -1, -1, 1], [-1, 0, 0, 0, 1, 0], [0, -2, 0, 0, 0, -1], [1, 0, 0, 0, 0, 0], [1, 1, 2, 1, 0, 1], [-1, 0, -1, -1, 0, 0], [2, 0, 0, 0, -2, 1], [-1, 0, 0, 0, 1, 0], [0, 2, 2, 1, 4, -1], [1, 0, 0, 0, -1, 0], [0, -2, -2, 0, -1, 0], [0, 0, 3, 0, 0, 0], [-1, 0, 0, 0, 0, 0], [0, 0, 0, -1, -2, 1], [0, -3, -3, -1, 0, 1], [1, 0, 1, 1, 0, 0], [-3, 0, 1, 1, 0, 0], [0, 0, 0, 0, -1, 0], [1, 0, 0, 0, -1, 0], [0, 2, 2, -1, 0, 1], [5, -1, 0, 0, -5, 1], [-1, 0, 0, 0, 1, 0], [-4, 0, 0, 0, 0, 0], [-1, 1, -1, 1, 1, -2], [0, 0, -3, 0, 0, 0], [1, -1, 0, 0, -1, 1], [-4, 4, 0, 0, 4, 0], [0, 0, 0, 1, 2, -1], [-2, -1, 0, 0, 2, 3], [0, 0, 0, 0, -1, 0], [-1, 0, -1, -1, 0, 0], [-4, 0, -2, -1, 0, 0], [0, 2, 2, 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0], [15, -14, 0, 0, -15, 11], [-17, 0, 31, 14, 0, 0], [0, 3, 3, 4, -6, -4], [-24, 16, 0, 0, 24, 12], [-20, 3, 0, 0, 20, -28], [27, 0, 8, -23, 0, 0], [-1, 7, 0, 0, 1, 13], [-39, 8, 0, 0, 39, -9], [0, -16, -16, 10, 22, -10]], 'char_orbit_index': 9, 'field_poly': [4, -8, 18, 0, 5, -1, 1], 'hecke_orbit_code': 67554544199927014, 'hecke_ring_character_values': [[419, [1, 0, 0, 0, 0, 0]], [343, [1, 0, 0, 0, 0, 0]], [1123, [0, 0, 0, 0, -1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 82, 41, 82, 82], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [0, 0, 0, -1, -3, 1], [-1, 0, 4, -1, 0, 0], [-13, -2, 0, 0, 13, -5], [0, -18, -18, 7, 11, -7]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [-40, 8, -18, 25, -5, 1], [-121, 16, -36, 9, -10, 2], [72, -162, -25, -45, 9, -10], [-26, -454, -65, -117, 7, -26]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'label': '1254.2.i.p', 'level': 1254, 'maxp': 1999, 'weight': 2}
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{'Nk2': 5016, 'analytic_conductor': 10.01324041346856, 'char_conductor': 19, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [1254, 3, [419, 343, 1123], [3, 3, 1]], 'conrey_index': 463, 'cusp_dim': 464, 'dim': 72, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 13], 'hecke_orbit_code': 549789369574, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 6, 6, 6, 10, 10], 'label': '1254.2.i', 'level': 1254, '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': True, 'level_primes': [2, 3, 11, 19], 'level_radical': 1254, 'mf_dim': 496, 'mf_new_dim': 72, 'num_forms': 19, 'prim_orbit_index': 3, 'relative_dim': 36, 'sturm_bound': 480, 'trace_bound': 13, 'trace_display': [0, -4, 0, -8], 'traces': [72, 0, -4, -36, 0, 0, -8, 0, -36, 0, 0, 8, 4, 0, 0, -36, 8, 0, 16, 0, 12, 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-224, 24, -8, -4, -128, -20, -280, 4, -16, -56, 168, -16, 232, -72, -64, 16, 136, 0, 656, -224, 24, 12, 72, 16, 36, 0, 184, 288, -240, -4, -52, 16, 180, -24, 424, 16, 48, -64, -32, 16, 164, -16, 144, -56, -16, -12, -304, 0, 80, -16, 68, -12, 496, 0, 132, -48, -24, -48], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 684910
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 6, 'source_hecke_orbit': 16, 'source_is_minimal': True, 'source_label': '1254.2.i.p', 'source_level': 1254, 'target_char_orbit': 9, 'target_dim': 6, 'target_hecke_orbit': 16, 'target_is_minimal': True, 'target_label': '1254.2.i.p', 'target_level': 1254, 'twist_class_label': '1254.2.i.p', 'twist_class_level': 1254, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 684911
{'conductor': 19, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 6, 'source_hecke_orbit': 16, 'source_is_minimal': True, 'source_label': '1254.2.i.p', 'source_level': 1254, 'target_char_orbit': 9, 'target_dim': 6, 'target_hecke_orbit': 16, 'target_is_minimal': True, 'target_label': '1254.2.i.p', 'target_level': 1254, 'twist_class_label': '1254.2.i.p', 'twist_class_level': 1254, 'twisting_char_label': '19.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1802900
{'charpoly_factorization': [[[1, 1, 1], 3]], 'hecke_orbit_code': 67554544199927014, 'p': 2}
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id: 1802901
{'charpoly_factorization': [[[1, -1, 1], 3]], 'hecke_orbit_code': 67554544199927014, 'p': 3}
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id: 1802902
{'charpoly_factorization': [[[64, -48, 52, -4, 10, -2, 1], 1]], 'hecke_orbit_code': 67554544199927014, 'p': 5}
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id: 1802903
{'charpoly_factorization': [[[8, 5, -6, 1], 2]], 'hecke_orbit_code': 67554544199927014, 'p': 7}
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id: 1802904
{'charpoly_factorization': [[[-1, 1], 6]], 'hecke_orbit_code': 67554544199927014, 'p': 11}
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id: 1802905
{'charpoly_factorization': [[[2916, -1944, 1458, 0, 45, -3, 1], 1]], 'hecke_orbit_code': 67554544199927014, 'p': 13}
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id: 1802906
{'charpoly_factorization': [[[1936, -1364, 873, -150, 35, 2, 1], 1]], 'hecke_orbit_code': 67554544199927014, 'p': 17}
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id: 1802907
{'charpoly_factorization': [[[6859, -1083, -114, 43, -6, -3, 1], 1]], 'hecke_orbit_code': 67554544199927014, 'p': 19}
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id: 1802908
{'charpoly_factorization': [[[16, -68, 249, -162, 83, -10, 1], 1]], 'hecke_orbit_code': 67554544199927014, 'p': 23}
-
id: 1802909
{'charpoly_factorization': [[[11881, -3379, 1288, -125, 40, -3, 1], 1]], 'hecke_orbit_code': 67554544199927014, 'p': 29}
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id: 1802910
{'charpoly_factorization': [[[16, 26, 10, 1], 2]], 'hecke_orbit_code': 67554544199927014, 'p': 31}
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id: 1802911
{'charpoly_factorization': [[[4, 1], 6]], 'hecke_orbit_code': 67554544199927014, 'p': 37}
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id: 1802912
{'charpoly_factorization': [[[16384, 6144, 3328, -128, 112, 8, 1], 1]], 'hecke_orbit_code': 67554544199927014, 'p': 41}
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id: 1802913
{'charpoly_factorization': [[[529, -897, 1360, -319, 88, 7, 1], 1]], 'hecke_orbit_code': 67554544199927014, 'p': 43}
-
id: 1802914
{'charpoly_factorization': [[[94249, -13815, 4174, -299, 94, -7, 1], 1]], 'hecke_orbit_code': 67554544199927014, 'p': 47}
-
id: 1802915
{'charpoly_factorization': [[[246016, 103168, 30368, 4416, 468, 26, 1], 1]], 'hecke_orbit_code': 67554544199927014, 'p': 53}
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id: 1802916
{'charpoly_factorization': [[[256, 256, 288, 0, 20, 2, 1], 1]], 'hecke_orbit_code': 67554544199927014, 'p': 59}
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id: 1802917
{'charpoly_factorization': [[[5776, -13072, 29356, -668, 181, 3, 1], 1]], 'hecke_orbit_code': 67554544199927014, 'p': 61}
-
id: 1802918
{'charpoly_factorization': [[[46656, 11664, 4212, 108, 90, 6, 1], 1]], 'hecke_orbit_code': 67554544199927014, 'p': 67}
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id: 1802919
{'charpoly_factorization': [[[529, -23, 162, -39, 50, -7, 1], 1]], 'hecke_orbit_code': 67554544199927014, 'p': 71}
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id: 1802920
{'charpoly_factorization': [[[760384, 108128, 20608, 1000, 160, 6, 1], 1]], 'hecke_orbit_code': 67554544199927014, 'p': 73}
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id: 1802921
{'charpoly_factorization': [[[118336, -34400, 12064, -88, 136, -6, 1], 1]], 'hecke_orbit_code': 67554544199927014, 'p': 79}
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id: 1802922
{'charpoly_factorization': [[[172, 104, 19, 1], 2]], 'hecke_orbit_code': 67554544199927014, 'p': 83}
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id: 1802923
{'charpoly_factorization': [[[1993744, -598688, 127532, -12864, 945, -37, 1], 1]], 'hecke_orbit_code': 67554544199927014, 'p': 89}
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id: 1802924
{'charpoly_factorization': [[[279841, 85169, 26450, 897, 162, 1, 1], 1]], 'hecke_orbit_code': 67554544199927014, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 16, 'label': '1254.2.i.p', 'level': 1254, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 61239373
{'hecke_orbit_code': 67554544199927014, 'n': 1, 'trace_an': 6}
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id: 61239374
{'hecke_orbit_code': 67554544199927014, 'n': 2, 'trace_an': -3}
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id: 61239375
{'hecke_orbit_code': 67554544199927014, 'n': 3, 'trace_an': 3}
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id: 61239376
{'hecke_orbit_code': 67554544199927014, 'n': 4, 'trace_an': -3}
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id: 61239377
{'hecke_orbit_code': 67554544199927014, 'n': 5, 'trace_an': 2}
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id: 61239378
{'hecke_orbit_code': 67554544199927014, 'n': 6, 'trace_an': 3}
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id: 61239379
{'hecke_orbit_code': 67554544199927014, 'n': 7, 'trace_an': 12}
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id: 61239380
{'hecke_orbit_code': 67554544199927014, 'n': 8, 'trace_an': 6}
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id: 61239381
{'hecke_orbit_code': 67554544199927014, 'n': 9, 'trace_an': -3}
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id: 61239382
{'hecke_orbit_code': 67554544199927014, 'n': 10, 'trace_an': 2}
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id: 61239383
{'hecke_orbit_code': 67554544199927014, 'n': 11, 'trace_an': 6}
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id: 61239384
{'hecke_orbit_code': 67554544199927014, 'n': 12, 'trace_an': -6}
-
id: 61239385
{'hecke_orbit_code': 67554544199927014, 'n': 13, 'trace_an': 3}
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id: 61239386
{'hecke_orbit_code': 67554544199927014, 'n': 14, 'trace_an': -6}
-
id: 61239387
{'hecke_orbit_code': 67554544199927014, 'n': 15, 'trace_an': -2}
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id: 61239388
{'hecke_orbit_code': 67554544199927014, 'n': 16, 'trace_an': -3}
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id: 61239389
{'hecke_orbit_code': 67554544199927014, 'n': 17, 'trace_an': -2}
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id: 61239390
{'hecke_orbit_code': 67554544199927014, 'n': 18, 'trace_an': 6}
-
id: 61239391
{'hecke_orbit_code': 67554544199927014, 'n': 19, 'trace_an': 3}
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id: 61239392
{'hecke_orbit_code': 67554544199927014, 'n': 20, 'trace_an': -4}
-
id: 61239393
{'hecke_orbit_code': 67554544199927014, 'n': 21, 'trace_an': 6}
-
id: 61239394
{'hecke_orbit_code': 67554544199927014, 'n': 22, 'trace_an': -3}
-
id: 61239395
{'hecke_orbit_code': 67554544199927014, 'n': 23, 'trace_an': 10}
-
id: 61239396
{'hecke_orbit_code': 67554544199927014, 'n': 24, 'trace_an': 3}
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id: 61239397
{'hecke_orbit_code': 67554544199927014, 'n': 25, 'trace_an': -1}
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id: 61239398
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