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mf_newforms • Show schema
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{'Nk2': 2016, 'analytic_conductor': 7.434240660723318, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 3, 'char_parity': 1, 'char_values': [126, 3, [29, 73], [3, 1]], 'cm_discs': [], 'conrey_index': 37, 'conrey_indexes': [37, 109], 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [81, 9, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511211266080894, 'hecke_ring_generator_nbound': 5, '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, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '126.4.g.d', 'level': 126, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'minimal_twist': '14.4.c.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(2-2\\zeta_{6})q^{2}-4\\zeta_{6}q^{4}+(-9+9\\zeta_{6})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '126.4.g', 'trace_display': [2, 0, -9, -28], 'trace_hash': 157880283953151555, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.004', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.944', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.316', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '102.642', 'prec': 24}], 'trace_zratio': 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [2, -2], [0, 0], [0, -4], [-9, 9], [0, 0], [-7, -14], [-8, 0], [0, 0], [0, 18], [0, -57], [0, 0], [-70, 0], [-42, 14], [0, 0], [-16, 16], [0, 51], [0, 0], [-5, 5], [36, 0], [0, 0], [-114, 0], [69, -69], [0, 0], [0, 44], [-140, 140], [0, 0], [-56, 84], [-114, 0], [0, 0], [0, -23], [0, 32], [0, 0], [102, 0], [189, -63], [0, 0], [253, -253], [0, 10], [0, 0], [72, -72], [42, 0], [0, 0], [-124, 0], [-228, 228], [0, 0], [0, -138], [201, -201], [0, 0], [-147, 392], [88, 0], [0, 0], [0, 280], [0, -393], [0, 0], [513, 0], [56, 112], [0, 0], [-228, 228], [0, 219], [0, 0], [709, -709], [-46, 0], [0, 0], [64, 0], [630, -630], [0, 0], [0, -419], [204, -204], [0, 0], [252, -378], [96, 0], [0, 0], [0, 313], [0, -506], [0, 0], [20, 0], [-798, 1197], [0, 0], [-461, 461], [0, -144], [0, 0], [84, -84], [588, 0], [0, 0], [-459, 0], [-248, 248], [0, 0], [0, 456], [-1017, 1017], [0, 0], [490, 980], [-276, 0], [0, 0], [0, -402], [0, -45], [0, 0], [-1834, 0], [490, 294], [0, 0], [176, -176]], 'ap': [[2, -2], [0, 0], [-9, 9], [-7, -14], [0, -57], [-70, 0], [0, 51], [-5, 5], [69, -69], [-114, 0], [0, -23], [253, -253], [42, 0], [-124, 0], [201, -201], [0, -393], [0, 219], [709, -709], [0, -419], [96, 0], [0, 313], [-461, 461], [588, 0], [-1017, 1017], [-1834, 0], [0, -285], [499, -499], [-1107, 1107], [0, -923], [-1542, 0], [-2056, 0], [2049, -2049], [0, -141], [1484, 0], [-57, 57], [0, -839], [0, 2833], [2311, -2311], [-1260, 0], [3267, -3267], [0, 1287], [-2674, 0], [4185, -4185], [0, 85], [390, 0], [0, 2833], [-124, 0], [56, 0], [0, -3057], [961, -961], [-2829, 2829], [3540, 0], [0, -5231], [-5040, 0], [-1437, 1437], [0, -2325], [0, -2385], [331, -331], [0, -4871], [7026, 0], [0, 5353], [-4158, 0], [-9604, 0], [0, 10131], [-10799, 10799], [531, -531], [7015, -7015], [8990, 0], [0, -8709], [6482, 0], [0, -2133], [3849, -3849], [0, -6491], [-923, 923], [6344, 0], [-5007, 5007], [0, 12291], [-887, 887], [11955, -11955], [0, 3421], [5460, 0], [7730, 0], [0, -11313], [4214, 0], [-16553, 16553], [-16395, 16395], [15090, 0], [14785, -14785], [-2898, 0], [464, 0], [4233, -4233], [0, 2739], [0, -17051], [4296, 0], [-3401, 3401], [-16800, 0], [1839, -1839], [0, 303], [21667, -21667], [-5039, 5039], [-2392, 0], [0, -22149], [0, -8349], [-15345, 15345], [0, 11593], [0, 14593], [15372, 0], [-14373, 14373], [0, 2547], [-7042, 0], [22591, -22591], [0, 8485], [18282, 0], [0, -2291], [-6928, 0], [0, 24975], [9548, 0], [0, 10131], [16659, -16659], [-29556, 0], [0, -191], [2606, 0], [-4209, 4209], [0, 24303], [-15041, 15041], [-24726, 0], [4957, -4957], [27669, -27669], [-13888, 0], [-14243, 14243], [0, -36959], [12528, 0], [17767, -17767], [-28726, 0], [-26469, 26469], [5054, 0], [0, -35565], [0, 8629], [-20706, 0], [0, -16185], [-11788, 0], [-29793, 29793], [0, -30323], [-21156, 0], [0, 5269], [39816, 0], [14546, 0], [0, -31449], [24523, -24523], [-8163, 8163], [-4367, 4367], [50190, 0], [12308, 0], [31617, -31617], [0, 13525], [19248, 0], [8695, -8695], [19479, -19479], [-12502, 0], [0, -15993], [44001, -44001], [4002, 0], [10544, 0], [-6183, 6183], [0, 3723], [0, -45897], [0, -6467], [0, -23039]], 'char_orbit_index': 7, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 13511211266080894, 'hecke_ring_character_values': [[29, [1, 0]], [73, [-1, 1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '126.4.g.d', 'level': 126, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 2016, 'analytic_conductor': 7.434240660723318, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 3, 'char_parity': 1, 'char_values': [126, 3, [29, 73], [3, 1]], 'conrey_index': 37, 'cusp_dim': 128, 'dim': 20, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 412383969406, 'hecke_orbit_dims': [2, 2, 2, 2, 4, 4, 4], 'label': '126.4.g', 'level': 126, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 160, 'mf_new_dim': 20, 'num_forms': 7, 'prim_orbit_index': 3, 'relative_dim': 10, 'sturm_bound': 96, 'trace_bound': 5, 'trace_display': [0, 0, -18, -8], 'traces': [20, 0, 0, -40, -18, 0, -8, 0, 0, 8, 6, 0, -192, -72, 0, -160, -150, 0, 46, 144, 0, 256, 210, 0, -68, -120, 0, 40, -336, 0, -138, 0, 0, -512, -426, 0, -242, -192, 0, 32, 2016, 0, 1288, 24, 0, 40, 102, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 108281
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '126.4.g.d', 'source_level': 126, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '14.4.c.a', 'target_level': 14, 'twist_class_label': '14.4.c.a', 'twist_class_level': 14, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 108282
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '126.4.g.d', 'source_level': 126, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '14.4.c.a', 'target_level': 14, 'twist_class_label': '14.4.c.a', 'twist_class_level': 14, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 108283
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '126.4.g.d', 'source_level': 126, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '98.4.a.d', 'target_level': 98, 'twist_class_label': '14.4.c.a', 'twist_class_level': 14, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 108284
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '126.4.g.d', 'source_level': 126, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '98.4.a.f', 'target_level': 98, 'twist_class_label': '14.4.c.a', 'twist_class_level': 14, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 108285
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '126.4.g.d', 'source_level': 126, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '98.4.c.a', 'target_level': 98, 'twist_class_label': '14.4.c.a', 'twist_class_level': 14, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 108286
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '126.4.g.d', 'source_level': 126, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '98.4.c.a', 'target_level': 98, 'twist_class_label': '14.4.c.a', 'twist_class_level': 14, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 108287
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '126.4.g.d', 'source_level': 126, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '112.4.i.a', 'target_level': 112, 'twist_class_label': '14.4.c.a', 'twist_class_level': 14, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 108288
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '126.4.g.d', 'source_level': 126, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '112.4.i.a', 'target_level': 112, 'twist_class_label': '14.4.c.a', 'twist_class_level': 14, 'twisting_char_label': '84.n', 'twisting_char_orbit': 14, 'weight': 4}
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id: 108289
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '126.4.g.d', 'source_level': 126, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '126.4.g.d', 'target_level': 126, 'twist_class_label': '14.4.c.a', 'twist_class_level': 14, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 108290
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '126.4.g.d', 'source_level': 126, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '126.4.g.d', 'target_level': 126, 'twist_class_label': '14.4.c.a', 'twist_class_level': 14, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 108291
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '126.4.g.d', 'source_level': 126, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '350.4.e.e', 'target_level': 350, 'twist_class_label': '14.4.c.a', 'twist_class_level': 14, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 108292
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '126.4.g.d', 'source_level': 126, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '350.4.e.e', 'target_level': 350, 'twist_class_label': '14.4.c.a', 'twist_class_level': 14, 'twisting_char_label': '105.o', 'twisting_char_orbit': 15, 'weight': 4}
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id: 108293
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '126.4.g.d', 'source_level': 126, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '350.4.j.b', 'target_level': 350, 'twist_class_label': '14.4.c.a', 'twist_class_level': 14, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 108294
{'conductor': 105, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '126.4.g.d', 'source_level': 126, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '350.4.j.b', 'target_level': 350, 'twist_class_label': '14.4.c.a', 'twist_class_level': 14, 'twisting_char_label': '105.x', 'twisting_char_orbit': 24, 'weight': 4}
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id: 108295
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '126.4.g.d', 'source_level': 126, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '448.4.i.b', 'target_level': 448, 'twist_class_label': '14.4.c.a', 'twist_class_level': 14, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 108296
{'conductor': 168, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '126.4.g.d', 'source_level': 126, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '448.4.i.b', 'target_level': 448, 'twist_class_label': '14.4.c.a', 'twist_class_level': 14, 'twisting_char_label': '168.s', 'twisting_char_orbit': 19, 'weight': 4}
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id: 108297
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '126.4.g.d', 'source_level': 126, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '448.4.i.e', 'target_level': 448, 'twist_class_label': '14.4.c.a', 'twist_class_level': 14, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 108298
{'conductor': 168, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '126.4.g.d', 'source_level': 126, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '448.4.i.e', 'target_level': 448, 'twist_class_label': '14.4.c.a', 'twist_class_level': 14, 'twisting_char_label': '168.v', 'twisting_char_orbit': 22, 'weight': 4}
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id: 108299
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '126.4.g.d', 'source_level': 126, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '784.4.a.c', 'target_level': 784, 'twist_class_label': '14.4.c.a', 'twist_class_level': 14, 'twisting_char_label': '84.j', 'twisting_char_orbit': 10, 'weight': 4}
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id: 108300
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '126.4.g.d', 'source_level': 126, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '784.4.a.p', 'target_level': 784, 'twist_class_label': '14.4.c.a', 'twist_class_level': 14, 'twisting_char_label': '84.n', 'twisting_char_orbit': 14, 'weight': 4}
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id: 108301
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '126.4.g.d', 'source_level': 126, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '882.4.a.c', 'target_level': 882, 'twist_class_label': '14.4.c.a', 'twist_class_level': 14, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 108302
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '126.4.g.d', 'source_level': 126, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '882.4.a.f', 'target_level': 882, 'twist_class_label': '14.4.c.a', 'twist_class_level': 14, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 108303
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '126.4.g.d', 'source_level': 126, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '882.4.g.u', 'target_level': 882, 'twist_class_label': '14.4.c.a', 'twist_class_level': 14, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 108304
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '126.4.g.d', 'source_level': 126, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '882.4.g.u', 'target_level': 882, 'twist_class_label': '14.4.c.a', 'twist_class_level': 14, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 108305
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '126.4.g.d', 'source_level': 126, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2450.4.a.d', 'target_level': 2450, 'twist_class_label': '14.4.c.a', 'twist_class_level': 14, 'twisting_char_label': '105.p', 'twisting_char_orbit': 16, 'weight': 4}
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id: 108306
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '126.4.g.d', 'source_level': 126, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '2450.4.a.q', 'target_level': 2450, 'twist_class_label': '14.4.c.a', 'twist_class_level': 14, 'twisting_char_label': '105.o', 'twisting_char_orbit': 15, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 350000
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 13511211266080894, 'p': 2}
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id: 350001
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511211266080894, 'p': 3}
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id: 350002
{'charpoly_factorization': [[[81, 9, 1], 1]], 'hecke_orbit_code': 13511211266080894, 'p': 5}
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id: 350003
{'charpoly_factorization': [[[343, 28, 1], 1]], 'hecke_orbit_code': 13511211266080894, 'p': 7}
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id: 350004
{'charpoly_factorization': [[[3249, 57, 1], 1]], 'hecke_orbit_code': 13511211266080894, 'p': 11}
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id: 350005
{'charpoly_factorization': [[[70, 1], 2]], 'hecke_orbit_code': 13511211266080894, 'p': 13}
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id: 350006
{'charpoly_factorization': [[[2601, -51, 1], 1]], 'hecke_orbit_code': 13511211266080894, 'p': 17}
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id: 350007
{'charpoly_factorization': [[[25, 5, 1], 1]], 'hecke_orbit_code': 13511211266080894, 'p': 19}
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id: 350008
{'charpoly_factorization': [[[4761, -69, 1], 1]], 'hecke_orbit_code': 13511211266080894, 'p': 23}
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id: 350009
{'charpoly_factorization': [[[114, 1], 2]], 'hecke_orbit_code': 13511211266080894, 'p': 29}
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id: 350010
{'charpoly_factorization': [[[529, 23, 1], 1]], 'hecke_orbit_code': 13511211266080894, 'p': 31}
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id: 350011
{'charpoly_factorization': [[[64009, -253, 1], 1]], 'hecke_orbit_code': 13511211266080894, 'p': 37}
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id: 350012
{'charpoly_factorization': [[[-42, 1], 2]], 'hecke_orbit_code': 13511211266080894, 'p': 41}
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id: 350013
{'charpoly_factorization': [[[124, 1], 2]], 'hecke_orbit_code': 13511211266080894, 'p': 43}
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id: 350014
{'charpoly_factorization': [[[40401, -201, 1], 1]], 'hecke_orbit_code': 13511211266080894, 'p': 47}
-
id: 350015
{'charpoly_factorization': [[[154449, 393, 1], 1]], 'hecke_orbit_code': 13511211266080894, 'p': 53}
-
id: 350016
{'charpoly_factorization': [[[47961, -219, 1], 1]], 'hecke_orbit_code': 13511211266080894, 'p': 59}
-
id: 350017
{'charpoly_factorization': [[[502681, -709, 1], 1]], 'hecke_orbit_code': 13511211266080894, 'p': 61}
-
id: 350018
{'charpoly_factorization': [[[175561, 419, 1], 1]], 'hecke_orbit_code': 13511211266080894, 'p': 67}
-
id: 350019
{'charpoly_factorization': [[[-96, 1], 2]], 'hecke_orbit_code': 13511211266080894, 'p': 71}
-
id: 350020
{'charpoly_factorization': [[[97969, -313, 1], 1]], 'hecke_orbit_code': 13511211266080894, 'p': 73}
-
id: 350021
{'charpoly_factorization': [[[212521, 461, 1], 1]], 'hecke_orbit_code': 13511211266080894, 'p': 79}
-
id: 350022
{'charpoly_factorization': [[[-588, 1], 2]], 'hecke_orbit_code': 13511211266080894, 'p': 83}
-
id: 350023
{'charpoly_factorization': [[[1034289, 1017, 1], 1]], 'hecke_orbit_code': 13511211266080894, 'p': 89}
-
id: 350024
{'charpoly_factorization': [[[1834, 1], 2]], 'hecke_orbit_code': 13511211266080894, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 4, 'label': '126.4.g.d', 'level': 126, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
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id: 142641000
{'hecke_orbit_code': 13511211266080894, 'n': 1, 'trace_an': 2}
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id: 142641001
{'hecke_orbit_code': 13511211266080894, 'n': 2, 'trace_an': 2}
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id: 142641002
{'hecke_orbit_code': 13511211266080894, 'n': 3, 'trace_an': 0}
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id: 142641003
{'hecke_orbit_code': 13511211266080894, 'n': 4, 'trace_an': -4}
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id: 142641004
{'hecke_orbit_code': 13511211266080894, 'n': 5, 'trace_an': -9}
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id: 142641005
{'hecke_orbit_code': 13511211266080894, 'n': 6, 'trace_an': 0}
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id: 142641006
{'hecke_orbit_code': 13511211266080894, 'n': 7, 'trace_an': -28}
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id: 142641007
{'hecke_orbit_code': 13511211266080894, 'n': 8, 'trace_an': -16}
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id: 142641008
{'hecke_orbit_code': 13511211266080894, 'n': 9, 'trace_an': 0}
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id: 142641009
{'hecke_orbit_code': 13511211266080894, 'n': 10, 'trace_an': 18}
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id: 142641010
{'hecke_orbit_code': 13511211266080894, 'n': 11, 'trace_an': -57}
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id: 142641011
{'hecke_orbit_code': 13511211266080894, 'n': 12, 'trace_an': 0}
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id: 142641012
{'hecke_orbit_code': 13511211266080894, 'n': 13, 'trace_an': -140}
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id: 142641013
{'hecke_orbit_code': 13511211266080894, 'n': 14, 'trace_an': -70}
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id: 142641014
{'hecke_orbit_code': 13511211266080894, 'n': 15, 'trace_an': 0}
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id: 142641015
{'hecke_orbit_code': 13511211266080894, 'n': 16, 'trace_an': -16}
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id: 142641016
{'hecke_orbit_code': 13511211266080894, 'n': 17, 'trace_an': 51}
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id: 142641017
{'hecke_orbit_code': 13511211266080894, 'n': 18, 'trace_an': 0}
-
id: 142641018
{'hecke_orbit_code': 13511211266080894, 'n': 19, 'trace_an': -5}
-
id: 142641019
{'hecke_orbit_code': 13511211266080894, 'n': 20, 'trace_an': 72}
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id: 142641020
{'hecke_orbit_code': 13511211266080894, 'n': 21, 'trace_an': 0}
-
id: 142641021
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