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mf_newforms • Show schema
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{'Nk2': 1656, 'analytic_conductor': 3.305806643681008, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 23, 'char_degree': 10, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 11, 'char_parity': 1, 'char_values': [414, 11, [47, 235], [11, 5]], 'cm_discs': [], 'conrey_index': 55, 'conrey_indexes': [55, 73, 127, 163, 271, 289, 307, 325, 361, 397], 'dim': 10, 'field_disc': -2357947691, 'field_disc_factorization': [[-1, 1], [11, 9]], 'field_poly': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 22, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [529, 1426, 1754, 1465, 1092, 736, 389, 149, 42, 8, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511348671480222, 'hecke_ring_generator_nbound': 2, '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, 23, 3, 1, 11, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '414.2.i.d', 'level': 414, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 23], 'level_radical': 138, 'minimal_twist': '138.2.e.a', 'nf_label': '10.0.2357947691.1', 'prim_orbit_index': 3, 'qexp_display': 'q-\\zeta_{22}^{4}q^{2}+\\zeta_{22}^{8}q^{4}+(-1+\\zeta_{22}^{2}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c11', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '414.2.i', 'trace_display': [1, 0, -8, 8], 'trace_hash': 1488071582353944363, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.256', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.493', 'prec': 17}, {'__RealLiteral__': 0, 'data': '294.296', 'prec': 24}, {'__RealLiteral__': 0, 'data': '248.280', 'prec': 24}, {'__RealLiteral__': 0, 'data': '14914.737', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.004', 'prec': 17}, 'traces': [10, 1, 0, -1, -8, 0, 8, 1, 0, -3, -7, 0, 3, 3, 0, -1, -4, 0, 0, 3, 0, -26, 12, 0, -15, -3, 0, -3, 25, 0, 6, 1, 0, -7, -2, 0, 9, -11, 0, -3, -24, 0, -30, -7, 0, 21, 48, 0, 9, -7, 0, 14, -15, 0, -23, -8, 0, -3, -5, 0, 12, -28, 0, -1, 13, 0, 18, 18, 0, 2, -28, 0, 19, -9, 0, 22, 12, 0, -52, -8, 0, -20, -7, 0, 23, -14, 0, -4, -3, 0, 42, 23, 0, 29, -22, 0, 51, 2, 0, -4, -3, 0, -60, 8, 0, 15, 41, 0, -3, 23, 0, -3, 53, 0, 19, 14, 0, -28, 10, 0, 50, 32, 0, -16, 19, 0, -62, 1, 0, 31, -83, 0, 33, -29, 0, -7, 62, 0, -42, -2, 0, -38, -45, 0, 35, 58, 0, 9, 38, 0, -4, 11, 0, -12, -84, 0, -36, 8, 0, -14, 47, 0, -60, 20, 0, 7, 2, 0, -40, 32, 0, 25, -61, 0, 10, -18, 0, 3, -47, 0, 24, 2, 0, -12, -38, 0, -17, -18, 0, 33, -1, 0, 6, -18, 0, -2, -23, 0, 27, -18, 0, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [-1, 0, 1, 0, -1, 0, -1, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 1, -1, 2, -1, 1, 0, 1], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 1, 0, 1, 0, 1, -2, 1, 0, 1], [-1, 0, 0, 1, 0, 0, -2, -2, -2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -1, 0, -2, 0, -1, 0, -1, 0, -2], [0, 1, 0, 1, -1, 0, -1, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, -1, 0, 0, 0, 0], [-1, 2, -1, -1, -1, 2, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 3, -3, 0, -1, 0, -2, -1, -2], [-1, 2, -1, 2, -1, 1, -2, 1, -2, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-4, 0, -2, 2, -1, 2, -2, 1, -2, 2], [0, 1, -2, -1, -1, 2, -3, 3, 1, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, 1, -2, 2, -2, 2, -2, 1, -3, 0], [-1, 0, -2, 0, -1, 1, 0, 2, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 1, -2, 1, -1, 0, -1, 0, 0, 1], [2, 3, -2, -1, -2, 3, 2, 0, 1, -1], [0, 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7, 12, -6, 16, -2, 16, -6, 12, 7], [-2, -3, -12, 5, -13, 13, -5, 12, 3, 2], [3, -8, 14, -11, -3, 3, 11, -14, 8, -3], [14, 1, 14, 0, -6, 5, -5, 5, -5, 6], [-5, 0, 0, 4, 0, 0, -5, 0, 6, -6], [-4, -2, 2, 4, 0, -3, -16, 9, -16, -3], [2, 1, 0, 1, 2, 0, 10, -11, 11, -10], [12, 8, 1, 8, 12, 0, -12, -1, 1, 12], [-1, 12, -12, 1, 0, 6, -20, 3, -20, 6], [-6, 13, -27, 11, -27, 13, -6, 0, -19, 19], [-16, 8, 2, -2, -8, 16, 0, 3, -3, 3], [24, -18, 17, -18, 3, -18, 17, -18, 24, 0], [7, -9, 9, -7, 0, -13, 16, -21, 16, -13], [-7, 11, 9, 11, -7, 0, -1, -11, 11, 1], [2, 0, -7, 7, -12, 10, -10, 12, -7, 7], [-7, -19, 15, -12, 13, -13, 12, -15, 19, 7], [-9, 12, -3, 0, 0, 3, -12, 9, 0, -1], [-5, -12, -5, 0, 1, 2, -4, 4, -2, -1], [-6, 4, 2, -2, -4, 6, 0, -14, 16, -14], [13, 1, -4, 8, 2, 8, -4, 1, 13, 0], [13, -13, 0, 8, 3, 14, -5, 14, 3, 8], [-9, 19, -10, -6, -3, 3, 6, 10, -19, 9], [18, 0, 14, -9, 9, 10, -10, -9, 9, -14], [-11, 3, 9, 0, -5, 5, 0, -9, -3, 11], [-22, 4, 9, 0, 0, -9, -4, 22, 0, 8], [11, -19, 11, 0, 9, -8, 7, -7, 8, -9], [-7, 6, 19, -5, 19, 6, -7, 0, 0, 0], [-11, -8, -9, 3, -9, -8, -11, 0, 12, -12], [-6, 6, 0, -9, 1, -14, 6, -14, 1, -9], [0, 8, -9, 8, -22, 1, -22, 8, -9, 8], [-9, 0, 0, 1, -9, 10, -10, 9, -1, 0], [9, -21, 21, -9, 0, -15, 7, -14, 7, -15], [-5, 22, -24, 24, -22, 5, 0, 12, -7, 12], [-3, 0, 6, 13, 6, 0, -3, 0, 18, -18], [5, -1, -14, -5, 5, 14, 1, -5, 0, -6], [-32, 28, -17, 13, -17, 17, -13, 17, -28, 32], [0, -3, 3, 10, 17, -17, -10, -3, 3, 0], [0, -8, -5, -6, 11, -8, 11, -6, -5, -8], [13, -13, 13, 0, 4, -6, -11, 11, 6, -4], [-2, 6, 10, -6, 6, -6, 10, 6, -2, 0], [5, -7, 14, 7, -7, 7, 14, -7, 5, 0], [-3, 3, 0, 7, -19, 7, 0, 7, -19, 7], [-11, -3, -8, 0, 0, 8, 3, 11, 0, 20], [-9, 13, -9, 13, -9, 0, -5, 27, -27, 5], [-9, -2, -9, 0, 5, 13, -9, 9, -13, -5], [27, -18, 24, -24, 18, -27, 0, -14, 26, -14], [-7, -5, -12, 2, -12, -5, -7, 0, -18, 18], [0, 7, -23, 7, 0, 6, 0, 7, -23, 7], [3, 0, -9, 0, 3, 0, 4, -1, 1, -4], [21, 0, 6, -20, 17, 0, 0, -17, 20, -6], [-1, 0, 3, 18, -13, -9, 9, 13, -18, -3], [-13, -10, 10, 13, 0, 14, 9, 1, 9, 14], [4, -12, -8, 7, 5, 7, -8, -12, 4, 0], [17, -27, 2, -8, 2, -27, 17, 0, 5, -5], [19, -22, 19, 0, 16, -3, 29, -29, 3, -16], [-32, 26, -26, 32, 0, 27, -20, 24, -20, 27], [-12, 7, -3, -4, 0, 0, 4, 3, -7, 12], [0, -19, 11, -16, 25, -6, 25, -16, 11, -19], [-13, 7, 9, 7, -7, -9, -7, 13, 0, -2], [3, -3, 0, 7, 2, -4, 9, -4, 2, 7], [13, -13, 0, 3, 1, -3, -4, -3, 1, 3], [3, -9, 8, -9, 9, -8, 9, -3, 0, -46], [-7, 0, -26, 10, -1, -3, 3, 1, -10, 26], [-20, 0, -8, 13, -13, 8, 0, 20, 0, -7], [8, 16, -6, 1, -6, 16, 8, 0, -6, 6], [6, -11, -9, 4, 0, 4, -9, -11, 6, 0], [1, 1, 0, 0, -1, -1, 0, 5, 8, 5], [15, -15, 0, -12, 12, 3, -7, 3, 12, -12], [5, 0, 2, 7, 2, 14, -14, -2, -7, -2], [-13, 6, 1, 6, -13, 0, -2, 17, -17, 2], [1, -15, 15, -1, 0, -4, 2, -31, 2, -4], [11, 4, 1, -25, 1, 4, 11, 0, 12, -12], [-3, -7, -9, -3, 1, -3, -9, -7, -3, 0], [1, 0, 1, 0, -10, -3, -6, 6, 3, 10]], 'char_orbit_index': 9, 'field_poly': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'hecke_orbit_code': 13511348671480222, 'hecke_ring_character_values': [[47, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [235, [0, 0, 0, 0, 1, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 10, 'label': '414.2.i.d', 'level': 414, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1656, 'analytic_conductor': 3.305806643681008, 'char_conductor': 23, 'char_degree': 10, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 11, 'char_parity': 1, 'char_values': [414, 11, [47, 235], [11, 5]], 'conrey_index': 55, 'cusp_dim': 640, 'dim': 100, 'eis_dim': 160, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 549789368734, 'hecke_orbit_dims': [10, 10, 10, 10, 10, 10, 20, 20], 'label': '414.2.i', 'level': 414, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 23], 'level_radical': 138, 'mf_dim': 800, 'mf_new_dim': 100, 'num_forms': 8, 'prim_orbit_index': 3, 'relative_dim': 10, 'sturm_bound': 144, 'trace_bound': 5, 'trace_display': [0, 0, 2, -4], 'traces': [100, 0, 0, -10, 2, 0, -4, 0, 0, -2, -10, 0, 4, 4, 0, -10, 14, 0, 20, 24, 0, 28, 44, 0, 26, 22, 0, 18, 22, 0, 6, 0, 0, 12, -10, 0, -46, -10, 0, -2, 38, 0, -50, -10, 0, 2, 52, 0, 56, -4, 0, 4, 40, 0, -72, -18, 0, -24, -58, 0, -94, -74, 0, -10, -142, 0, -22, -52, 0, -88, -110, 0, -28, -54, 0, -2, -86, 0, -38, -20, 0, -16, -10, 0, 38, -28, 0, 6, 34, 0, 68, 0, 0, 0, 74, 0, 80, 60, 0, -62, 14, 0, -34, 0, 0, 28, 106, 0, -114, 42, 0, -4, 96, 0, 90, 44, 0, -72, 74, 0, -122, 88, 0, 50, -54, 0, -208, 0, 0, -52, -114, 0, -86, 66, 0, 12, -4, 0, -20, -10, 0, 42, -100, 0, -56, 40, 0, -2, -8, 0, 34, 34, 0, 80, -78, 0, 24, 102, 0, 20, 40, 0, 102, 38, 0, 44, 126, 0, 6, 108, 0, 38, 108, 0, 98, -10, 0, 44, 92, 0, 168, -56, 0, 24, -108, 0, -40, -58, 0, 68, -162, 0, 14, -76, 0, 12, -70, 0, 130, -4, 0, 22, -168, 0, 62, -244, 0, 4, -94, 0, 88, -70, 0, -32, -6, 0, 260, -102, 0, 38, -154, 0, 44, 4, 0, 88, -26, 0, 60, -54, 0, -24, 112, 0, -22, 8, 0, 112, 120, 0, -36, 76, 0, -50, 244, 0, 236, 58, 0, -120, 44, 0, -248, 28, 0, -10, 172, 0, -188, 78, 0, -124, 84, 0, 242, 38, 0, 0, 18, 0, -148, 14, 0, 172, 152, 0, -80, 90, 0, -44, 118, 0, 62, 44, 0, 104, -122, 0, 112, 112, 0, 82, 104, 0, 174, 34, 0, 104, 176, 0, 8, 74, 0, -2, 212, 0, -4, 90, 0, 40, 190, 0, 72, -46, 0, 28, 36, 0, -124, -20, 0, -40, -48, 0, -106, -98, 0, -60, -182, 0, -64, -54, 0, -118, -174, 0, -196, -232, 0, 16, -150, 0, -308, -116, 0, -124, -212, 0, -150, -216, 0, -38, -132, 0, -416, 12, 0, -180, -154, 0, -170, -104, 0, -152, -98, 0, -348, -44, 0, 32, -138, 0, -138, -38, 0, -44, -130, 0, 212, 52, 0, -204, 84, 0, -74, 32, 0, 14, -14, 0, -40, 16, 0, -180, -198, 0, 244, 146, 0, 4, -40, 0, 182, 58, 0, 268, -6, 0, 112, 240, 0, -34, 80, 0, 220, 0, 0, 16, 20, 0, 318, 180, 0, 50, 78, 0, 84, 40, 0, 50, 44, 0, 180, 196, 0, 84, -86, 0, 34, 42, 0, -16, -52, 0, 260, 56, 0, -4, -44, 0, 12, -102, 0, -20, 20, 0, -132, -192, 0, -130, -100, 0, -100, 22, 0, -28, -10, 0, 2, -162, 0, 38, -118, 0, -248, -124, 0, -174, -134, 0, -282, -288, 0, 32, -246, 0, -160, 44, 0, -258, -84, 0, 22, -130, 0, -16, -36, 0, -116, -164, 0, -232, -154, 0, -436, -124, 0, -208, -76, 0, 174, 0, 0, -228, 12, 0, -224, -104, 0, 168, 44, 0, -134, -70, 0, 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0, 52, -72, 0, -108, 86, 0, -280, -162, 0, -100, -92, 0, -454, -168, 0, -184, -28, 0, 216, 100, 0, -450, -232, 0, -244, -30, 0, 12, -182, 0, -210, -48, 0, -436, -120, 0, 422, 54, 0, -222, 192, 0, -406, -4, 0, 316, 202, 0, -260, 44, 0, -132, 180, 0, 378, 74, 0, -274, 246, 0, -204, 236, 0, 172, 486, 0, 106, 86, 0, -212, 612, 0, 828, 258, 0, 4, 370, 0, -38, 170, 0, 192, 174, 0, 170, 150, 0, 88, 368, 0, 628, 18, 0, -96, 22, 0, -318, 126, 0, -76, 140, 0, 76, 104, 0, -116, -10, 0, -216, -212, 0, 18, 36, 0, -234, -102, 0, 2, -300, 0, 182, -150, 0, -28, -280, 0, -390, 44, 0, -80, -56, 0, 96, -168, 0, -44, -94, 0, -210, -40, 0, 112, 62, 0, -668, -6, 0, -132, -84, 0, -136, -4, 0, -454, -336, 0, -512, -76, 0, 60, -206, 0, -620, -230, 0, -492, -30, 0, -394, -246, 0, -24, -196, 0, -762, 2, 0, 106, -440, 0, -366, -42, 0, -220, -236, 0, 340, 52, 0, -164, -236, 0, -246, 264, 0, 46, 154, 0, -736, -34, 0, 30, 82, 0, 316, 204, 0, -36, 424, 0, -372, 76, 0, 422, 112, 0, -124, 144, 0, 38, -300, 0, 132, 90, 0, -20, -86, 0, -248, 242, 0, 148, -332, 0, 226, -8, 0, 340, -112, 0, 208, -14, 0, 144], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 306689
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 10, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '414.2.i.d', 'source_level': 414, 'target_char_orbit': 5, 'target_dim': 10, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '138.2.e.a', 'target_level': 138, 'twist_class_label': '138.2.e.a', 'twist_class_level': 138, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 306690
{'conductor': 69, 'degree': 10, 'multiplicity': 1, 'order': 22, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 10, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '414.2.i.d', 'source_level': 414, 'target_char_orbit': 5, 'target_dim': 10, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '138.2.e.a', 'target_level': 138, 'twist_class_label': '138.2.e.a', 'twist_class_level': 138, 'twisting_char_label': '69.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 306691
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 10, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '414.2.i.d', 'source_level': 414, 'target_char_orbit': 9, 'target_dim': 10, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '414.2.i.d', 'target_level': 414, 'twist_class_label': '138.2.e.a', 'twist_class_level': 138, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 306692
{'conductor': 23, 'degree': 10, 'multiplicity': 1, 'order': 11, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 10, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '414.2.i.d', 'source_level': 414, 'target_char_orbit': 9, 'target_dim': 10, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '414.2.i.d', 'target_level': 414, 'twist_class_label': '138.2.e.a', 'twist_class_level': 138, 'twisting_char_label': '23.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 306693
{'conductor': 69, 'degree': 10, 'multiplicity': 1, 'order': 22, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 10, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '414.2.i.d', 'source_level': 414, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 29, 'target_is_minimal': False, 'target_label': '3174.2.a.bc', 'target_level': 3174, 'twist_class_label': '138.2.e.a', 'twist_class_level': 138, 'twisting_char_label': '69.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 306694
{'conductor': 69, 'degree': 10, 'multiplicity': 1, 'order': 22, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 10, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '414.2.i.d', 'source_level': 414, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '3174.2.a.bd', 'target_level': 3174, 'twist_class_label': '138.2.e.a', 'twist_class_level': 138, 'twisting_char_label': '69.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 306695
{'conductor': 23, 'degree': 10, 'multiplicity': 1, 'order': 22, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 10, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '414.2.i.d', 'source_level': 414, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 43, 'target_is_minimal': False, 'target_label': '9522.2.a.bq', 'target_level': 9522, 'twist_class_label': '138.2.e.a', 'twist_class_level': 138, 'twisting_char_label': '23.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 306696
{'conductor': 23, 'degree': 10, 'multiplicity': 1, 'order': 11, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 10, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '414.2.i.d', 'source_level': 414, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 46, 'target_is_minimal': False, 'target_label': '9522.2.a.bt', 'target_level': 9522, 'twist_class_label': '138.2.e.a', 'twist_class_level': 138, 'twisting_char_label': '23.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 854425
{'charpoly_factorization': [[[1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 1]], 'hecke_orbit_code': 13511348671480222, 'p': 2}
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id: 854426
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 13511348671480222, 'p': 3}
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id: 854427
{'charpoly_factorization': [[[529, 1426, 1754, 1465, 1092, 736, 389, 149, 42, 8, 1], 1]], 'hecke_orbit_code': 13511348671480222, 'p': 5}
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id: 854428
{'charpoly_factorization': [[[529, -414, 236, 64, 36, -120, 147, -83, 31, -8, 1], 1]], 'hecke_orbit_code': 13511348671480222, 'p': 7}
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id: 854429
{'charpoly_factorization': [[[1, -25, 361, -500, 1016, -1354, 894, 123, 5, 7, 1], 1]], 'hecke_orbit_code': 13511348671480222, 'p': 11}
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id: 854430
{'charpoly_factorization': [[[1, 18, 192, -328, -63, 164, 114, -38, 31, -3, 1], 1]], 'hecke_orbit_code': 13511348671480222, 'p': 13}
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id: 854431
{'charpoly_factorization': [[[1849, 344, 262, -1381, 1599, -219, 300, 97, 5, 4, 1], 1]], 'hecke_orbit_code': 13511348671480222, 'p': 17}
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id: 854432
{'charpoly_factorization': [[[64009, -166980, 134552, 63767, 20328, 7040, 1309, 165, 22, 0, 1], 1]], 'hecke_orbit_code': 13511348671480222, 'p': 19}
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id: 854433
{'charpoly_factorization': [[[6436343, -3358092, -121670, 278783, -736, -14103, -32, 527, -10, -12, 1], 1]], 'hecke_orbit_code': 13511348671480222, 'p': 23}
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id: 854434
{'charpoly_factorization': [[[2866249, 2762976, -509097, -376913, 398830, -121177, 25590, -3613, 372, -25, 1], 1]], 'hecke_orbit_code': 13511348671480222, 'p': 29}
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id: 854435
{'charpoly_factorization': [[[896809, -1689448, 1387445, -793207, 310898, -20305, 449, 389, 58, -6, 1], 1]], 'hecke_orbit_code': 13511348671480222, 'p': 31}
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id: 854436
{'charpoly_factorization': [[[529, 897, 443, -235, 911, -507, 346, -69, 26, -9, 1], 1]], 'hecke_orbit_code': 13511348671480222, 'p': 37}
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id: 854437
{'charpoly_factorization': [[[529, 7475, 29032, 4759, 17785, 5950, 4636, 1669, 301, 24, 1], 1]], 'hecke_orbit_code': 13511348671480222, 'p': 41}
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id: 854438
{'charpoly_factorization': [[[192721, 499143, 624596, 491911, 261363, 93928, 22774, 3537, 427, 30, 1], 1]], 'hecke_orbit_code': 13511348671480222, 'p': 43}
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id: 854439
{'charpoly_factorization': [[[10649, -10380, 1520, 83, -24, 1], 2]], 'hecke_orbit_code': 13511348671480222, 'p': 47}
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id: 854440
{'charpoly_factorization': [[[361342081, 167336227, 61777527, 10436695, 2703089, 185681, -4023, -453, 71, 15, 1], 1]], 'hecke_orbit_code': 13511348671480222, 'p': 53}
-
id: 854441
{'charpoly_factorization': [[[31730689, 16346966, 6484581, 1744702, 355360, 53032, 3639, -183, -19, 5, 1], 1]], 'hecke_orbit_code': 13511348671480222, 'p': 59}
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id: 854442
{'charpoly_factorization': [[[2801902489, -731957524, 183906086, -29202790, 1782782, -199486, 47213, -3301, 133, -12, 1], 1]], 'hecke_orbit_code': 13511348671480222, 'p': 61}
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id: 854443
{'charpoly_factorization': [[[1804635361, -164613875, 40130165, -13909000, 2862072, -616120, 84461, -5392, 258, -18, 1], 1]], 'hecke_orbit_code': 13511348671480222, 'p': 67}
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id: 854444
{'charpoly_factorization': [[[1490654881, 238603620, 56624165, 4717127, 507127, 61346, 5432, 2152, 388, 28, 1], 1]], 'hecke_orbit_code': 13511348671480222, 'p': 71}
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id: 854445
{'charpoly_factorization': [[[236452129, 599057166, 511706134, -76020584, 11086045, -979208, 56324, -3812, 273, -19, 1], 1]], 'hecke_orbit_code': 13511348671480222, 'p': 73}
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id: 854446
{'charpoly_factorization': [[[2417590561, 2231780910, 903594279, 218346493, 36651354, 4507821, 421601, 29563, 1516, 52, 1], 1]], 'hecke_orbit_code': 13511348671480222, 'p': 79}
-
id: 854447
{'charpoly_factorization': [[[659102929, 410973384, 89637183, 1004438, 1293395, 292181, 12840, 1850, 269, 7, 1], 1]], 'hecke_orbit_code': 13511348671480222, 'p': 83}
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id: 854448
{'charpoly_factorization': [[[92871769, 57282328, 20625841, 3946358, 311941, -6423, -84, 720, 97, 3, 1], 1]], 'hecke_orbit_code': 13511348671480222, 'p': 89}
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id: 854449
{'charpoly_factorization': [[[22314683161, -5970907951, 1422410933, -190179985, 20948030, -1721532, 127372, -12300, 1061, -51, 1], 1]], 'hecke_orbit_code': 13511348671480222, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 4, 'label': '414.2.i.d', 'level': 414, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 143241000
{'hecke_orbit_code': 13511348671480222, 'n': 1, 'trace_an': 10}
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id: 143241001
{'hecke_orbit_code': 13511348671480222, 'n': 2, 'trace_an': 1}
-
id: 143241002
{'hecke_orbit_code': 13511348671480222, 'n': 3, 'trace_an': 0}
-
id: 143241003
{'hecke_orbit_code': 13511348671480222, 'n': 4, 'trace_an': -1}
-
id: 143241004
{'hecke_orbit_code': 13511348671480222, 'n': 5, 'trace_an': -8}
-
id: 143241005
{'hecke_orbit_code': 13511348671480222, 'n': 6, 'trace_an': 0}
-
id: 143241006
{'hecke_orbit_code': 13511348671480222, 'n': 7, 'trace_an': 8}
-
id: 143241007
{'hecke_orbit_code': 13511348671480222, 'n': 8, 'trace_an': 1}
-
id: 143241008
{'hecke_orbit_code': 13511348671480222, 'n': 9, 'trace_an': 0}
-
id: 143241009
{'hecke_orbit_code': 13511348671480222, 'n': 10, 'trace_an': -3}
-
id: 143241010
{'hecke_orbit_code': 13511348671480222, 'n': 11, 'trace_an': -7}
-
id: 143241011
{'hecke_orbit_code': 13511348671480222, 'n': 12, 'trace_an': 0}
-
id: 143241012
{'hecke_orbit_code': 13511348671480222, 'n': 13, 'trace_an': 3}
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id: 143241013
{'hecke_orbit_code': 13511348671480222, 'n': 14, 'trace_an': 3}
-
id: 143241014
{'hecke_orbit_code': 13511348671480222, 'n': 15, 'trace_an': 0}
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id: 143241015
{'hecke_orbit_code': 13511348671480222, 'n': 16, 'trace_an': -1}
-
id: 143241016
{'hecke_orbit_code': 13511348671480222, 'n': 17, 'trace_an': -4}
-
id: 143241017
{'hecke_orbit_code': 13511348671480222, 'n': 18, 'trace_an': 0}
-
id: 143241018
{'hecke_orbit_code': 13511348671480222, 'n': 19, 'trace_an': 0}
-
id: 143241019
{'hecke_orbit_code': 13511348671480222, 'n': 20, 'trace_an': 3}
-
id: 143241020
{'hecke_orbit_code': 13511348671480222, 'n': 21, 'trace_an': 0}
-
id: 143241021
{'hecke_orbit_code': 13511348671480222, 'n': 22, 'trace_an': -26}
-
id: 143241022
{'hecke_orbit_code': 13511348671480222, 'n': 23, 'trace_an': 12}
-
id: 143241023
{'hecke_orbit_code': 13511348671480222, 'n': 24, 'trace_an': 0}
-
id: 143241024
{'hecke_orbit_code': 13511348671480222, 'n': 25, 'trace_an': -15}
-
id: 143241025
{'hecke_orbit_code': 13511348671480222, 'n': 26, 'trace_an': -3}
-
id: 143241026
{'hecke_orbit_code': 13511348671480222, 'n': 27, 'trace_an': 0}
-
id: 143241027
{'hecke_orbit_code': 13511348671480222, 'n': 28, 'trace_an': -3}
-
id: 143241028
{'hecke_orbit_code': 13511348671480222, 'n': 29, 'trace_an': 25}
-
id: 143241029
{'hecke_orbit_code': 13511348671480222, 'n': 30, 'trace_an': 0}
-
id: 143241030
{'hecke_orbit_code': 13511348671480222, 'n': 31, 'trace_an': 6}
-
id: 143241031
{'hecke_orbit_code': 13511348671480222, 'n': 32, 'trace_an': 1}
-
id: 143241032
{'hecke_orbit_code': 13511348671480222, 'n': 33, 'trace_an': 0}
-
id: 143241033
{'hecke_orbit_code': 13511348671480222, 'n': 34, 'trace_an': -7}
-
id: 143241034
{'hecke_orbit_code': 13511348671480222, 'n': 35, 'trace_an': -2}
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