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mf_newforms • Show schema
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{'Nk2': 4410, 'analytic_conductor': 13.351532953654548, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 4, 'char_parity': -1, 'char_values': [490, 4, [197, 101], [1, 4]], 'cm_discs': [], 'conrey_index': 197, 'conrey_indexes': [197, 393], 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [8, -4, 1]], [11, [8, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503943275086314, '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, 5, 3, -1, 4, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '490.3.f.b', 'level': 490, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7], 'level_radical': 70, 'minimal_twist': '10.3.c.a', 'nf_label': '2.0.4.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(-1-i)q^{2}+(2-2i)q^{3}+2iq^{4}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '2.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '490.3.f', 'trace_display': [-2, 4, 0, 0], 'trace_hash': 1540428060361885336, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.043', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.951', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.151', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.408', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.284', 'prec': 17}, {'__RealLiteral__': 0, 'data': '92.037', 'prec': 20}], 'trace_zratio': 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [-1, -1], [2, -2], [0, 2], [0, 5], [-4, 0], [0, 0], [2, -2], [0, 1], [5, -5], [-8, 0], [4, 4], [-3, 3], [0, 0], [10, 10], [-4, 0], [-7, -7], [1, -1], [0, 20], [-10, 0], [0, 0], [8, 8], [-2, 2], [0, -8], [-25, 0], [6, 0], [20, 20], [0, 0], [0, 40], [0, -20], [-52, 0], [4, 4], [-16, 16], [0, 14], [0, 0], [-2, 0], [-3, -3], [20, -20], [0, 12], [10, 10], [8, 0], [0, 0], [-42, 42], [0, -16], [-5, 0], [4, 0], [18, 18], [-8, 8], [0, 0], [25, 25], [-28, 0], [-6, -6], [53, -53], [0, -40], [0, -40], [0, 0], [40, 40], [40, -40], [0, 20], [-20, 20], [48, 0], [52, 52], [0, 0], [0, -8], [-15, -15], [32, 0], [62, 62], [14, -14], [0, 8], [0, 0], [-28, 0], [2, 2], [47, -47], [0, 6], [-50, 50], [-40, 0], [0, 0], [12, -12], [0, 0], [0, -20], [71, 0], [-8, -8], [-18, 18], [0, 0], [35, -35], [84, 0], [80, 80], [-16, 16], [0, -80], [5, 5], [0, 0], [-4, -4], [-104, 104], [0, -36], [-100, 0], [16, 0], [63, 63], [0, 0], [0, -8], [0, -50]], 'ap': [[-1, -1], [2, -2], [0, 5], [0, 0], [-8, 0], [-3, 3], [-7, -7], [0, 20], [-2, 2], [0, 40], [-52, 0], [-3, -3], [8, 0], [-42, 42], [18, 18], [53, -53], [0, 20], [48, 0], [62, 62], [-28, 0], [47, -47], [0, 0], [-18, 18], [0, -80], [63, 63], [-62, 0], [-118, 118], [142, 142], [0, -10], [23, -23], [-118, -118], [128, 0], [-63, -63], [0, -140], [0, -150], [52, 0], [-27, -27], [-82, 82], [-62, -62], [107, -107], [0, -220], [-2, 0], [212, 0], [-57, 57], [-3, -3], [0, 120], [-328, 0], [-138, 138], [-2, -2], [0, -120], [183, -183], [0, 120], [-232, 0], [48, 0], [313, 313], [-262, 262], [0, -10], [-252, 0], [267, 267], [312, 0], [262, -262], [-243, 243], [18, 18], [388, 0], [-183, 183], [-213, -213], [232, 0], [417, 417], [202, 202], [0, 440], [447, -447], [0, -400], [118, 118], [-107, 107], [0, 340], [342, -342], [0, 390], [323, 323], [642, 0], [0, 150], [0, -300], [-208, 0], [-788, 0], [367, -367], [0, -560], [378, -378], [0, -410], [-393, -393], [-622, 0], [278, -278], [38, 38], [0, 440], [522, 522], [-328, 0], [0, 380], [42, -42], [0, 440], [258, 0], [-258, 258], [-338, 0], [-558, -558], [-3, -3], [42, -42], [0, 950], [392, 0], [473, 473], [198, 198], [47, -47], [0, 520], [328, 0], [-462, -462], [723, -723], [327, 327], [0, 660], [-548, 0], [-568, 0], [342, -342], [118, 118], [453, -453], [0, 140], [-512, 0], [193, -193], [-157, -157], [438, -438], [-1032, 0], [-128, 0], [0, 760], [0, 1160], [558, 558], [827, -827], [0, -700], [-382, 382], [-588, 0], [987, 987], [158, 0], [0, -80], [-243, 243], [-262, -262], [-267, -267], [0, 560], [208, 0], [-1568, 0], [-562, 562], [762, 762], [0, -170], [0, 280], [-1123, 1123], [-417, -417], [0, 1300], [-242, 242], [-453, -453], [-712, 0], [118, -118], [1158, 1158], [142, 142], [1172, 0], [0, 920], [0, 1190], [233, 233], [78, 0], [62, 62], [-1017, 1017], [502, 502], [-992, 0], [-783, -783], [-1058, 1058], [-68, 0], [773, 773]], 'char_orbit_index': 6, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 4503943275086314, 'hecke_ring_character_values': [[197, [0, 1]], [101, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '490.3.f.b', 'level': 490, 'maxp': 997, 'weight': 3}
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mf_newspaces • Show schema
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{'Nk2': 4410, 'analytic_conductor': 13.351532953654548, 'char_conductor': 5, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 4, 'char_parity': -1, 'char_values': [490, 4, [197, 101], [1, 4]], 'conrey_index': 197, 'cusp_dim': 304, 'dim': 82, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 11], 'hecke_orbit_code': 343647715818, 'hecke_orbit_dims': [2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 12], 'label': '490.3.f', 'level': 490, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7], 'level_radical': 70, 'mf_dim': 368, 'mf_new_dim': 82, 'num_forms': 17, 'prim_orbit_index': 3, 'relative_dim': 41, 'sturm_bound': 252, 'trace_bound': 11, 'trace_display': [-2, -4, -8, 0], 'traces': [82, -2, -4, 0, -8, -8, 0, 4, 0, 22, 16, -8, 6, 0, -52, -328, -2, -62, 0, 20, 0, -16, 76, 0, 86, 52, 176, 0, 0, 0, -72, 8, 120, 0, 0, 508, -206, -104, 0, -20, 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mf_twists_nf • Show schema
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id: 349448
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '490.3.f.b', 'source_level': 490, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '10.3.c.a', 'target_level': 10, 'twist_class_label': '10.3.c.a', 'twist_class_level': 10, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 349449
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '490.3.f.b', 'source_level': 490, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '10.3.c.a', 'target_level': 10, 'twist_class_label': '10.3.c.a', 'twist_class_level': 10, 'twisting_char_label': '35.f', 'twisting_char_orbit': 6, 'weight': 3}
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id: 349450
{'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '490.3.f.b', 'source_level': 490, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '50.3.c.c', 'target_level': 50, 'twist_class_label': '10.3.c.a', 'twist_class_level': 10, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 349451
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '490.3.f.b', 'source_level': 490, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '50.3.c.c', 'target_level': 50, 'twist_class_label': '10.3.c.a', 'twist_class_level': 10, 'twisting_char_label': '35.f', 'twisting_char_orbit': 6, 'weight': 3}
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id: 349452
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '490.3.f.b', 'source_level': 490, 'target_char_orbit': 16, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '80.3.p.c', 'target_level': 80, 'twist_class_label': '10.3.c.a', 'twist_class_level': 10, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 349453
{'conductor': 140, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '490.3.f.b', 'source_level': 490, 'target_char_orbit': 16, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '80.3.p.c', 'target_level': 80, 'twist_class_label': '10.3.c.a', 'twist_class_level': 10, 'twisting_char_label': '140.j', 'twisting_char_orbit': 10, 'weight': 3}
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id: 349454
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '490.3.f.b', 'source_level': 490, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '90.3.g.b', 'target_level': 90, 'twist_class_label': '10.3.c.a', 'twist_class_level': 10, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 349455
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '490.3.f.b', 'source_level': 490, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '90.3.g.b', 'target_level': 90, 'twist_class_label': '10.3.c.a', 'twist_class_level': 10, 'twisting_char_label': '105.k', 'twisting_char_orbit': 11, 'weight': 3}
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id: 349456
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '490.3.f.b', 'source_level': 490, 'target_char_orbit': 16, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '320.3.p.a', 'target_level': 320, 'twist_class_label': '10.3.c.a', 'twist_class_level': 10, 'twisting_char_label': '56.e', 'twisting_char_orbit': 5, 'weight': 3}
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id: 349457
{'conductor': 280, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '490.3.f.b', 'source_level': 490, 'target_char_orbit': 16, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '320.3.p.a', 'target_level': 320, 'twist_class_label': '10.3.c.a', 'twist_class_level': 10, 'twisting_char_label': '280.y', 'twisting_char_orbit': 25, 'weight': 3}
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id: 349458
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '490.3.f.b', 'source_level': 490, 'target_char_orbit': 16, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '320.3.p.h', 'target_level': 320, 'twist_class_label': '10.3.c.a', 'twist_class_level': 10, 'twisting_char_label': '56.h', 'twisting_char_orbit': 8, 'weight': 3}
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id: 349459
{'conductor': 280, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '490.3.f.b', 'source_level': 490, 'target_char_orbit': 16, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '320.3.p.h', 'target_level': 320, 'twist_class_label': '10.3.c.a', 'twist_class_level': 10, 'twisting_char_label': '280.s', 'twisting_char_orbit': 19, 'weight': 3}
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id: 349460
{'conductor': 140, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '490.3.f.b', 'source_level': 490, 'target_char_orbit': 16, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '400.3.p.b', 'target_level': 400, 'twist_class_label': '10.3.c.a', 'twist_class_level': 10, 'twisting_char_label': '140.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 349461
{'conductor': 140, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '490.3.f.b', 'source_level': 490, 'target_char_orbit': 16, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '400.3.p.b', 'target_level': 400, 'twist_class_label': '10.3.c.a', 'twist_class_level': 10, 'twisting_char_label': '140.j', 'twisting_char_orbit': 10, 'weight': 3}
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id: 349462
{'conductor': 105, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '490.3.f.b', 'source_level': 490, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '450.3.g.b', 'target_level': 450, 'twist_class_label': '10.3.c.a', 'twist_class_level': 10, 'twisting_char_label': '105.g', 'twisting_char_orbit': 7, 'weight': 3}
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id: 349463
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '490.3.f.b', 'source_level': 490, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '450.3.g.b', 'target_level': 450, 'twist_class_label': '10.3.c.a', 'twist_class_level': 10, 'twisting_char_label': '105.k', 'twisting_char_orbit': 11, 'weight': 3}
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id: 349464
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '490.3.f.b', 'source_level': 490, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '490.3.f.b', 'target_level': 490, 'twist_class_label': '10.3.c.a', 'twist_class_level': 10, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 3}
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id: 349465
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '490.3.f.b', 'source_level': 490, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '490.3.f.b', 'target_level': 490, 'twist_class_label': '10.3.c.a', 'twist_class_level': 10, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 349466
{'conductor': 84, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '490.3.f.b', 'source_level': 490, 'target_char_orbit': 34, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '720.3.bh.c', 'target_level': 720, 'twist_class_label': '10.3.c.a', 'twist_class_level': 10, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 3}
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id: 349467
{'conductor': 420, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '490.3.f.b', 'source_level': 490, 'target_char_orbit': 34, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '720.3.bh.c', 'target_level': 720, 'twist_class_label': '10.3.c.a', 'twist_class_level': 10, 'twisting_char_label': '420.w', 'twisting_char_orbit': 23, 'weight': 3}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 959025
{'charpoly_factorization': [[[2, 2, 1], 1]], 'hecke_orbit_code': 4503943275086314, 'p': 2}
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id: 959026
{'charpoly_factorization': [[[8, -4, 1], 1]], 'hecke_orbit_code': 4503943275086314, 'p': 3}
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id: 959027
{'charpoly_factorization': [[[25, 0, 1], 1]], 'hecke_orbit_code': 4503943275086314, 'p': 5}
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id: 959028
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503943275086314, 'p': 7}
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id: 959029
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 4503943275086314, 'p': 11}
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id: 959030
{'charpoly_factorization': [[[18, 6, 1], 1]], 'hecke_orbit_code': 4503943275086314, 'p': 13}
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id: 959031
{'charpoly_factorization': [[[98, 14, 1], 1]], 'hecke_orbit_code': 4503943275086314, 'p': 17}
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id: 959032
{'charpoly_factorization': [[[400, 0, 1], 1]], 'hecke_orbit_code': 4503943275086314, 'p': 19}
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id: 959033
{'charpoly_factorization': [[[8, 4, 1], 1]], 'hecke_orbit_code': 4503943275086314, 'p': 23}
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id: 959034
{'charpoly_factorization': [[[1600, 0, 1], 1]], 'hecke_orbit_code': 4503943275086314, 'p': 29}
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id: 959035
{'charpoly_factorization': [[[52, 1], 2]], 'hecke_orbit_code': 4503943275086314, 'p': 31}
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id: 959036
{'charpoly_factorization': [[[18, 6, 1], 1]], 'hecke_orbit_code': 4503943275086314, 'p': 37}
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id: 959037
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 4503943275086314, 'p': 41}
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id: 959038
{'charpoly_factorization': [[[3528, 84, 1], 1]], 'hecke_orbit_code': 4503943275086314, 'p': 43}
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id: 959039
{'charpoly_factorization': [[[648, -36, 1], 1]], 'hecke_orbit_code': 4503943275086314, 'p': 47}
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id: 959040
{'charpoly_factorization': [[[5618, -106, 1], 1]], 'hecke_orbit_code': 4503943275086314, 'p': 53}
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id: 959041
{'charpoly_factorization': [[[400, 0, 1], 1]], 'hecke_orbit_code': 4503943275086314, 'p': 59}
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id: 959042
{'charpoly_factorization': [[[-48, 1], 2]], 'hecke_orbit_code': 4503943275086314, 'p': 61}
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id: 959043
{'charpoly_factorization': [[[7688, -124, 1], 1]], 'hecke_orbit_code': 4503943275086314, 'p': 67}
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id: 959044
{'charpoly_factorization': [[[28, 1], 2]], 'hecke_orbit_code': 4503943275086314, 'p': 71}
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id: 959045
{'charpoly_factorization': [[[4418, -94, 1], 1]], 'hecke_orbit_code': 4503943275086314, 'p': 73}
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id: 959046
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503943275086314, 'p': 79}
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id: 959047
{'charpoly_factorization': [[[648, 36, 1], 1]], 'hecke_orbit_code': 4503943275086314, 'p': 83}
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id: 959048
{'charpoly_factorization': [[[6400, 0, 1], 1]], 'hecke_orbit_code': 4503943275086314, 'p': 89}
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id: 959049
{'charpoly_factorization': [[[7938, -126, 1], 1]], 'hecke_orbit_code': 4503943275086314, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 2, 'label': '490.3.f.b', 'level': 490, 'portrait': 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', 'weight': 3}
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mf_hecke_traces • Show schema
Hide schema
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id: 87243000
{'hecke_orbit_code': 4503943275086314, 'n': 1, 'trace_an': 2}
-
id: 87243001
{'hecke_orbit_code': 4503943275086314, 'n': 2, 'trace_an': -2}
-
id: 87243002
{'hecke_orbit_code': 4503943275086314, 'n': 3, 'trace_an': 4}
-
id: 87243003
{'hecke_orbit_code': 4503943275086314, 'n': 4, 'trace_an': 0}
-
id: 87243004
{'hecke_orbit_code': 4503943275086314, 'n': 5, 'trace_an': 0}
-
id: 87243005
{'hecke_orbit_code': 4503943275086314, 'n': 6, 'trace_an': -8}
-
id: 87243006
{'hecke_orbit_code': 4503943275086314, 'n': 7, 'trace_an': 0}
-
id: 87243007
{'hecke_orbit_code': 4503943275086314, 'n': 8, 'trace_an': 4}
-
id: 87243008
{'hecke_orbit_code': 4503943275086314, 'n': 9, 'trace_an': 0}
-
id: 87243009
{'hecke_orbit_code': 4503943275086314, 'n': 10, 'trace_an': 10}
-
id: 87243010
{'hecke_orbit_code': 4503943275086314, 'n': 11, 'trace_an': -16}
-
id: 87243011
{'hecke_orbit_code': 4503943275086314, 'n': 12, 'trace_an': 8}
-
id: 87243012
{'hecke_orbit_code': 4503943275086314, 'n': 13, 'trace_an': -6}
-
id: 87243013
{'hecke_orbit_code': 4503943275086314, 'n': 14, 'trace_an': 0}
-
id: 87243014
{'hecke_orbit_code': 4503943275086314, 'n': 15, 'trace_an': 20}
-
id: 87243015
{'hecke_orbit_code': 4503943275086314, 'n': 16, 'trace_an': -8}
-
id: 87243016
{'hecke_orbit_code': 4503943275086314, 'n': 17, 'trace_an': -14}
-
id: 87243017
{'hecke_orbit_code': 4503943275086314, 'n': 18, 'trace_an': 2}
-
id: 87243018
{'hecke_orbit_code': 4503943275086314, 'n': 19, 'trace_an': 0}
-
id: 87243019
{'hecke_orbit_code': 4503943275086314, 'n': 20, 'trace_an': -20}
-
id: 87243020
{'hecke_orbit_code': 4503943275086314, 'n': 21, 'trace_an': 0}
-
id: 87243021
{'hecke_orbit_code': 4503943275086314, 'n': 22, 'trace_an': 16}
-
id: 87243022
{'hecke_orbit_code': 4503943275086314, 'n': 23, 'trace_an': -4}
-
id: 87243023
{'hecke_orbit_code': 4503943275086314, 'n': 24, 'trace_an': 0}
-
id: 87243024
{'hecke_orbit_code': 4503943275086314, 'n': 25, 'trace_an': -50}
-
id: 87243025
{'hecke_orbit_code': 4503943275086314, 'n': 26, 'trace_an': 12}
-
id: 87243026
{'hecke_orbit_code': 4503943275086314, 'n': 27, 'trace_an': 40}
-
id: 87243027
{'hecke_orbit_code': 4503943275086314, 'n': 28, 'trace_an': 0}
-
id: 87243028
{'hecke_orbit_code': 4503943275086314, 'n': 29, 'trace_an': 0}
-
id: 87243029
{'hecke_orbit_code': 4503943275086314, 'n': 30, 'trace_an': 0}
-
id: 87243030
{'hecke_orbit_code': 4503943275086314, 'n': 31, 'trace_an': -104}
-
id: 87243031
{'hecke_orbit_code': 4503943275086314, 'n': 32, 'trace_an': 8}
-
id: 87243032
{'hecke_orbit_code': 4503943275086314, 'n': 33, 'trace_an': -32}
-
id: 87243033
{'hecke_orbit_code': 4503943275086314, 'n': 34, 'trace_an': 0}
-
id: 87243034
{'hecke_orbit_code': 4503943275086314, 'n': 35, 'trace_an': 0}
-
id: 87243035
{'hecke_orbit_code': 4503943275086314, 'n': 36, 'trace_an': -4}
-
id: 87243036
{'hecke_orbit_code': 4503943275086314, 'n': 37, 'trace_an': -6}
-
id: 87243037
{'hecke_orbit_code': 4503943275086314, 'n': 38, 'trace_an': 40}
-
id: 87243038
{'hecke_orbit_code': 4503943275086314, 'n': 39, 'trace_an': 0}
-
id: 87243039
{'hecke_orbit_code': 4503943275086314, 'n': 40, 'trace_an': 20}
-
id: 87243040
{'hecke_orbit_code': 4503943275086314, 'n': 41, 'trace_an': 16}
-
id: 87243041
{'hecke_orbit_code': 4503943275086314, 'n': 42, 'trace_an': 0}
-
id: 87243042
{'hecke_orbit_code': 4503943275086314, 'n': 43, 'trace_an': -84}
-
id: 87243043
{'hecke_orbit_code': 4503943275086314, 'n': 44, 'trace_an': 0}
-
id: 87243044
{'hecke_orbit_code': 4503943275086314, 'n': 45, 'trace_an': -10}
-
id: 87243045
{'hecke_orbit_code': 4503943275086314, 'n': 46, 'trace_an': 8}
-
id: 87243046
{'hecke_orbit_code': 4503943275086314, 'n': 47, 'trace_an': 36}
-
id: 87243047
{'hecke_orbit_code': 4503943275086314, 'n': 48, 'trace_an': -16}
-
id: 87243048
{'hecke_orbit_code': 4503943275086314, 'n': 49, 'trace_an': 0}
-
id: 87243049
{'hecke_orbit_code': 4503943275086314, 'n': 50, 'trace_an': 50}
-
id: 87243050
{'hecke_orbit_code': 4503943275086314, 'n': 51, 'trace_an': -56}
-
id: 87243051
{'hecke_orbit_code': 4503943275086314, 'n': 52, 'trace_an': -12}
-
id: 87243052
{'hecke_orbit_code': 4503943275086314, 'n': 53, 'trace_an': 106}
-
id: 87243053
{'hecke_orbit_code': 4503943275086314, 'n': 54, 'trace_an': 0}
-
id: 87243054
{'hecke_orbit_code': 4503943275086314, 'n': 55, 'trace_an': 0}
-
id: 87243055
{'hecke_orbit_code': 4503943275086314, 'n': 56, 'trace_an': 0}
-
id: 87243056
{'hecke_orbit_code': 4503943275086314, 'n': 57, 'trace_an': 80}
-
id: 87243057
{'hecke_orbit_code': 4503943275086314, 'n': 58, 'trace_an': 80}
-
id: 87243058
{'hecke_orbit_code': 4503943275086314, 'n': 59, 'trace_an': 0}
-
id: 87243059
{'hecke_orbit_code': 4503943275086314, 'n': 60, 'trace_an': -40}
-
id: 87243060
{'hecke_orbit_code': 4503943275086314, 'n': 61, 'trace_an': 96}
-
id: 87243061
{'hecke_orbit_code': 4503943275086314, 'n': 62, 'trace_an': 104}
-
id: 87243062
{'hecke_orbit_code': 4503943275086314, 'n': 63, 'trace_an': 0}
-
id: 87243063
{'hecke_orbit_code': 4503943275086314, 'n': 64, 'trace_an': 0}
-
id: 87243064
{'hecke_orbit_code': 4503943275086314, 'n': 65, 'trace_an': -30}
-
id: 87243065
{'hecke_orbit_code': 4503943275086314, 'n': 66, 'trace_an': 64}
-
id: 87243066
{'hecke_orbit_code': 4503943275086314, 'n': 67, 'trace_an': 124}
-
id: 87243067
{'hecke_orbit_code': 4503943275086314, 'n': 68, 'trace_an': 28}
-
id: 87243068
{'hecke_orbit_code': 4503943275086314, 'n': 69, 'trace_an': 0}
-
id: 87243069
{'hecke_orbit_code': 4503943275086314, 'n': 70, 'trace_an': 0}
-
id: 87243070
{'hecke_orbit_code': 4503943275086314, 'n': 71, 'trace_an': -56}
-
id: 87243071
{'hecke_orbit_code': 4503943275086314, 'n': 72, 'trace_an': 4}
-
id: 87243072
{'hecke_orbit_code': 4503943275086314, 'n': 73, 'trace_an': 94}
-
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