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mf_newforms • Show schema
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{'Nk2': 2800, 'analytic_conductor': 11.577435865390564, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': -1, 'char_values': [112, 2, [15, 85, 17], [2, 2, 1]], 'cm_discs': [], 'conrey_index': 97, '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': [[3, [48, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503737150210160, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 8, 'hecke_ring_index_factorization': [[2, 3]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 2, -1, 2, 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': False, 'label': '112.5.c.b', 'level': 112, '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': False, 'level_primes': [2, 7], 'level_radical': 14, 'minimal_twist': '28.5.b.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 2, 'qexp_display': 'q-\\beta q^{3}+3\\beta q^{5}+(-7\\beta+7)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '4.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '112.5.c', 'trace_display': [0, 0, 0, 14], 'trace_hash': 770114592120198924, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.007', 'prec': 4}, {'__RealLiteral__': 0, 'data': '1.929', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '14.941', 'prec': 17}, 0, {'__RealLiteral__': 0, 'data': '142.663', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [0, -1], [0, 0], [0, 3], [0, 0], [7, -7], [0, 0], [33, 0], [0, 0], [-18, 0], [0, 0], [0, -19], [0, 0], [144, 0], [0, 0], [0, -60], [0, 0], [0, -13], [0, 0], [-336, -7], [0, 0], [-738, 0], [0, 0], [193, 0], [0, 0], [0, -114], [0, 0], [-846, 0], [0, 0], [0, -168], [0, 0], [0, 18], [0, 0], [1008, 21], [0, 0], [2386, 0], [0, 0], [-912, 0], [0, 0], [0, -246], [0, 0], [2510, 0], [0, 0], [0, 99], [0, 0], [0, 492], [0, 0], [-2303, -98], [0, 0], [-2880, 0], [0, 0], [-270, 0], [0, 0], [0, -54], [0, 0], [-624, 0], [0, 0], [0, 453], [0, 0], [0, 937], [0, 0], [231, -231], [0, 0], [2736, 0], [0, 0], [-2450, 0], [0, 0], [0, 738], [0, 0], [3150, 0], [0, 0], [0, 34], [0, 0], [0, -193], [0, 0], [-126, 126], [0, 0], [3982, 0], [0, 0], [-2799, 0], [0, 0], [0, 723], [0, 0], [8640, 0], [0, 0], [0, 846], [0, 0], [0, -1098], [0, 0], [-6384, -133], [0, 0], [-8064, 0], [0, 0], [1872, 0], [0, 0], [0, -1816], [0, 0], [-594, 0], [0, 0]], 'ap': [[0, 0], [0, -1], [0, 3], [7, -7], [-18, 0], [0, -19], [0, -60], [0, -13], [-738, 0], [-846, 0], [0, -168], [2386, 0], [0, -246], [2510, 0], [0, 492], [-270, 0], [0, 453], [0, 937], [-2450, 0], [3150, 0], [0, 34], [3982, 0], [0, 723], [0, -1098], [0, -1816], [0, 1611], [0, 122], [12942, 0], [-7022, 0], [18738, 0], [2302, 0], [0, -2817], [-26334, 0], [0, 2297], [11826, 0], [-15970, 0], [0, -4143], [7822, 0], [0, 3498], [0, 4149], [-8946, 0], [0, 4463], [-60786, 0], [10546, 0], [18, 0], [0, -14], [46190, 0], [0, -1128], [0, 4455], [0, -8277], [70434, 0], [76158, 0], [0, 7132], [0, 2373], [0, 4896], [94734, 0], [0, -9363], [0, -12044], [7442, 0], [14562, 0], [0, 6285], [0, -7365], [0, -8757], [0, 19662], [0, 9662], [-27918, 0], [181166, 0], [92338, 0], [147726, 0], [0, 21649], [0, 26040], [-113058, 0], [0, -20564], [-99502, 0], [-75538, 0], [0, -14352], [-31086, 0], [0, 13053], [100530, 0], [0, -44138], [0, -34617], [-214222, 0], [345150, 0], [0, -6996], [0, -26802], [-256338, 0], [-319806, 0], [140338, 0], [0, 10221], [8206, 0], [0, -58653], [0, -40632], [229598, 0], [48654, 0], [91598, 0], [0, 23646], [0, -66567], [0, -18462], [0, 25369], [-19054, 0], [-536306, 0], [-262638, 0], [0, 15867], [-253710, 0], [-164018, 0], [0, 31408], [0, 36297], [0, 54852], [315342, 0], [0, 69846], [0, 74104], [227762, 0], [502578, 0], [0, 24769], [29710, 0], [-218574, 0], [0, 59823], [0, 22050], [-641070, 0], [162990, 0], [0, 61079], [220738, 0], [0, -99765], [-803250, 0], [0, -52053], [247698, 0], [-14414, 0], [0, -22092], [0, -51930], [0, -55311], [-859826, 0], [669150, 0], [-293506, 0], [555634, 0], [0, 36942], [0, -69488], [0, -30525], [0, 143923], [0, -37359], [799794, 0], [0, 36753], [109458, 0], [415438, 0], [23598, 0], [0, -16087], [0, 68946], [0, 59975], [0, 138342], [0, -191459], [-319986, 0], [1087346, 0], [0, 204012], [1039022, 0], [0, -122322], [157550, 0], [962046, 0], [109838, 0], [0, 19416], [0, -115334], [0, -49323], [620910, 0], [855522, 0], [-1682210, 0], [0, 240105], [1602, 0], [0, 23718], [734606, 0], [0, -23013]], 'char_orbit_index': 3, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 4503737150210160, 'hecke_ring_character_values': [[15, [1, 0]], [85, [1, 0]], [17, [-1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1], 'hecke_ring_inverse_denominators': [1, 8], 'hecke_ring_inverse_numerators': [[1, 0], [4, 1]], 'hecke_ring_numerators': [[1, 0], [-4, 8]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 2, 'label': '112.5.c.b', 'level': 112, 'maxp': 997, 'weight': 5}
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mf_newspaces • Show schema
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{'Nk2': 2800, 'analytic_conductor': 11.577435865390564, 'char_conductor': 7, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': -1, 'char_values': [112, 2, [15, 85, 17], [2, 2, 1]], 'conrey_index': 97, 'cusp_dim': 58, 'dim': 15, 'eis_dim': 12, 'eis_new_dim': 2, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 137522839664, 'hecke_orbit_dims': [1, 2, 4, 8], 'label': '112.5.c', 'level': 112, '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': False, 'level_primes': [2, 7], 'level_radical': 14, 'mf_dim': 70, 'mf_new_dim': 17, 'num_forms': 4, 'prim_orbit_index': 2, 'relative_dim': 15, 'sturm_bound': 80, 'trace_bound': 1, 'trace_display': [0, 0, 0, -15], 'traces': [15, 0, 0, 0, 0, 0, -15, 0, -353, 0, -46, 0, 0, 0, -160, 0, 0, 0, 0, 0, -224, 0, -1150, 0, -641, 0, 0, 0, -626, 0, 0, 0, 0, 0, -1632, 0, -914, 0, -352, 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1551650, 0, 0, 0, 0, 0, 456480, 0, -4305374, 0, 2296672, 0, 0, 0, 3848270, 0, 0, 0, 0, 0, 3119808, 0, 2279872, 0, 6648576, 0, 0, 0, -3461696, 0, 0, 0, 0, 0, 2299712, 0, 4296818, 0, -1478464, 0, 0, 0, -3475778, 0, 0, 0, 0, 0, -2545534, 0, -3911537, 0, -6833422, 0, 0, 0, 1843906, 0, 0, 0, 0, 0, 1388000, 0, -4311392, 0, -1405730, 0, 0, 0, -5755602, 0, 0, 0, 0, 0, 5176960, 0, -2141284, 0, 1714882, 0, 0, 0, 1339200, 0, 0, 0, 0, 0], 'weight': 5, 'weight_parity': -1}
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mf_twists_nf • Show schema
Hide schema
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id: 97783
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '112.5.c.b', 'source_level': 112, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '28.5.b.a', 'target_level': 28, 'twist_class_label': '28.5.b.a', 'twist_class_level': 28, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 5}
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id: 97784
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '112.5.c.b', 'source_level': 112, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '28.5.b.a', 'target_level': 28, 'twist_class_label': '28.5.b.a', 'twist_class_level': 28, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 5}
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id: 97785
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '112.5.c.b', 'source_level': 112, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '112.5.c.b', 'target_level': 112, 'twist_class_label': '28.5.b.a', 'twist_class_level': 28, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 5}
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id: 97786
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '112.5.c.b', 'source_level': 112, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '112.5.c.b', 'target_level': 112, 'twist_class_label': '28.5.b.a', 'twist_class_level': 28, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 5}
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id: 97787
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '112.5.c.b', 'source_level': 112, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '196.5.h.a', 'target_level': 196, 'twist_class_label': '28.5.b.a', 'twist_class_level': 28, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 5}
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id: 97788
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '112.5.c.b', 'source_level': 112, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '196.5.h.a', 'target_level': 196, 'twist_class_label': '28.5.b.a', 'twist_class_level': 28, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 5}
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id: 97789
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '112.5.c.b', 'source_level': 112, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '196.5.h.b', 'target_level': 196, 'twist_class_label': '28.5.b.a', 'twist_class_level': 28, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 5}
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id: 97790
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '112.5.c.b', 'source_level': 112, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '196.5.h.b', 'target_level': 196, 'twist_class_label': '28.5.b.a', 'twist_class_level': 28, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 5}
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id: 97791
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '112.5.c.b', 'source_level': 112, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '252.5.d.a', 'target_level': 252, 'twist_class_label': '28.5.b.a', 'twist_class_level': 28, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 5}
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id: 97792
{'conductor': 84, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '112.5.c.b', 'source_level': 112, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '252.5.d.a', 'target_level': 252, 'twist_class_label': '28.5.b.a', 'twist_class_level': 28, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 5}
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id: 97793
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '112.5.c.b', 'source_level': 112, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '448.5.c.c', 'target_level': 448, 'twist_class_label': '28.5.b.a', 'twist_class_level': 28, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 5}
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id: 97794
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '112.5.c.b', 'source_level': 112, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '448.5.c.c', 'target_level': 448, 'twist_class_label': '28.5.b.a', 'twist_class_level': 28, 'twisting_char_label': '56.e', 'twisting_char_orbit': 5, 'weight': 5}
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id: 97795
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '112.5.c.b', 'source_level': 112, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '448.5.c.d', 'target_level': 448, 'twist_class_label': '28.5.b.a', 'twist_class_level': 28, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 5}
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id: 97796
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '112.5.c.b', 'source_level': 112, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '448.5.c.d', 'target_level': 448, 'twist_class_label': '28.5.b.a', 'twist_class_level': 28, 'twisting_char_label': '56.h', 'twisting_char_orbit': 8, 'weight': 5}
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id: 97797
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '112.5.c.b', 'source_level': 112, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '700.5.d.a', 'target_level': 700, 'twist_class_label': '28.5.b.a', 'twist_class_level': 28, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 5}
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id: 97798
{'conductor': 140, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '112.5.c.b', 'source_level': 112, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '700.5.d.a', 'target_level': 700, 'twist_class_label': '28.5.b.a', 'twist_class_level': 28, 'twisting_char_label': '140.c', 'twisting_char_orbit': 3, 'weight': 5}
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id: 97799
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '112.5.c.b', 'source_level': 112, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '700.5.h.a', 'target_level': 700, 'twist_class_label': '28.5.b.a', 'twist_class_level': 28, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 5}
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id: 97800
{'conductor': 140, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '112.5.c.b', 'source_level': 112, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '700.5.h.a', 'target_level': 700, 'twist_class_label': '28.5.b.a', 'twist_class_level': 28, 'twisting_char_label': '140.j', 'twisting_char_orbit': 10, 'weight': 5}
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id: 97801
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '112.5.c.b', 'source_level': 112, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1008.5.f.c', 'target_level': 1008, 'twist_class_label': '28.5.b.a', 'twist_class_level': 28, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 5}
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id: 97802
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '112.5.c.b', 'source_level': 112, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1008.5.f.c', 'target_level': 1008, 'twist_class_label': '28.5.b.a', 'twist_class_level': 28, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 5}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 321550
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503737150210160, 'p': 2}
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id: 321551
{'charpoly_factorization': [[[48, 0, 1], 1]], 'hecke_orbit_code': 4503737150210160, 'p': 3}
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id: 321552
{'charpoly_factorization': [[[432, 0, 1], 1]], 'hecke_orbit_code': 4503737150210160, 'p': 5}
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id: 321553
{'charpoly_factorization': [[[2401, -14, 1], 1]], 'hecke_orbit_code': 4503737150210160, 'p': 7}
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id: 321554
{'charpoly_factorization': [[[18, 1], 2]], 'hecke_orbit_code': 4503737150210160, 'p': 11}
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id: 321555
{'charpoly_factorization': [[[17328, 0, 1], 1]], 'hecke_orbit_code': 4503737150210160, 'p': 13}
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id: 321556
{'charpoly_factorization': [[[172800, 0, 1], 1]], 'hecke_orbit_code': 4503737150210160, 'p': 17}
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id: 321557
{'charpoly_factorization': [[[8112, 0, 1], 1]], 'hecke_orbit_code': 4503737150210160, 'p': 19}
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id: 321558
{'charpoly_factorization': [[[738, 1], 2]], 'hecke_orbit_code': 4503737150210160, 'p': 23}
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id: 321559
{'charpoly_factorization': [[[846, 1], 2]], 'hecke_orbit_code': 4503737150210160, 'p': 29}
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id: 321560
{'charpoly_factorization': [[[1354752, 0, 1], 1]], 'hecke_orbit_code': 4503737150210160, 'p': 31}
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id: 321561
{'charpoly_factorization': [[[-2386, 1], 2]], 'hecke_orbit_code': 4503737150210160, 'p': 37}
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id: 321562
{'charpoly_factorization': [[[2904768, 0, 1], 1]], 'hecke_orbit_code': 4503737150210160, 'p': 41}
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id: 321563
{'charpoly_factorization': [[[-2510, 1], 2]], 'hecke_orbit_code': 4503737150210160, 'p': 43}
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id: 321564
{'charpoly_factorization': [[[11619072, 0, 1], 1]], 'hecke_orbit_code': 4503737150210160, 'p': 47}
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id: 321565
{'charpoly_factorization': [[[270, 1], 2]], 'hecke_orbit_code': 4503737150210160, 'p': 53}
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id: 321566
{'charpoly_factorization': [[[9850032, 0, 1], 1]], 'hecke_orbit_code': 4503737150210160, 'p': 59}
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id: 321567
{'charpoly_factorization': [[[42142512, 0, 1], 1]], 'hecke_orbit_code': 4503737150210160, 'p': 61}
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id: 321568
{'charpoly_factorization': [[[2450, 1], 2]], 'hecke_orbit_code': 4503737150210160, 'p': 67}
-
id: 321569
{'charpoly_factorization': [[[-3150, 1], 2]], 'hecke_orbit_code': 4503737150210160, 'p': 71}
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id: 321570
{'charpoly_factorization': [[[55488, 0, 1], 1]], 'hecke_orbit_code': 4503737150210160, 'p': 73}
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id: 321571
{'charpoly_factorization': [[[-3982, 1], 2]], 'hecke_orbit_code': 4503737150210160, 'p': 79}
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id: 321572
{'charpoly_factorization': [[[25090992, 0, 1], 1]], 'hecke_orbit_code': 4503737150210160, 'p': 83}
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id: 321573
{'charpoly_factorization': [[[57868992, 0, 1], 1]], 'hecke_orbit_code': 4503737150210160, 'p': 89}
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id: 321574
{'charpoly_factorization': [[[158297088, 0, 1], 1]], 'hecke_orbit_code': 4503737150210160, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 2, 'label': '112.5.c.b', 'level': 112, 'portrait': 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', 'weight': 5}
-
mf_hecke_traces • Show schema
Hide schema
Showing the first 100 of 258 matching records in this table.
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id: 21198031
{'hecke_orbit_code': 4503737150210160, 'n': 1, 'trace_an': 2}
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id: 21198032
{'hecke_orbit_code': 4503737150210160, 'n': 2, 'trace_an': 0}
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id: 21198033
{'hecke_orbit_code': 4503737150210160, 'n': 3, 'trace_an': 0}
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id: 21198034
{'hecke_orbit_code': 4503737150210160, 'n': 4, 'trace_an': 0}
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id: 21198035
{'hecke_orbit_code': 4503737150210160, 'n': 5, 'trace_an': 0}
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id: 21198036
{'hecke_orbit_code': 4503737150210160, 'n': 6, 'trace_an': 0}
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id: 21198037
{'hecke_orbit_code': 4503737150210160, 'n': 7, 'trace_an': 14}
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id: 21198038
{'hecke_orbit_code': 4503737150210160, 'n': 8, 'trace_an': 0}
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id: 21198039
{'hecke_orbit_code': 4503737150210160, 'n': 9, 'trace_an': 66}
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id: 21198040
{'hecke_orbit_code': 4503737150210160, 'n': 10, 'trace_an': 0}
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id: 21198041
{'hecke_orbit_code': 4503737150210160, 'n': 11, 'trace_an': -36}
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id: 21198042
{'hecke_orbit_code': 4503737150210160, 'n': 12, 'trace_an': 0}
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id: 21198043
{'hecke_orbit_code': 4503737150210160, 'n': 13, 'trace_an': 0}
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id: 21198044
{'hecke_orbit_code': 4503737150210160, 'n': 14, 'trace_an': 0}
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id: 21198045
{'hecke_orbit_code': 4503737150210160, 'n': 15, 'trace_an': 288}
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id: 21198046
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