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mf_newforms • Show schema
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{'Nk2': 4312, 'analytic_conductor': 8.607873337894025, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [1078, 3, [199, 981], [2, 3]], 'cm_discs': [], 'conrey_index': 67, 'conrey_indexes': [67, 177], 'dim': 4, 'field_disc': 576, 'field_disc_factorization': [[2, 6], [3, 2]], 'field_poly': [4, 0, 2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [64, 0, 8, 0, 1]], [5, [0, 1]], [13, [-18, 0, 1]]], 'hecke_orbit': 15, 'hecke_orbit_code': 63050669694649398, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0], [1, 1, 7, 4, -1, 6, 0], [1, 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mf_hecke_nf • Show schema
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{'Nk2': 4312, 'analytic_conductor': 8.607873337894025, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [1078, 3, [199, 981], [2, 3]], 'conrey_index': 67, 'cusp_dim': 304, 'dim': 64, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 13], 'hecke_orbit_code': 274911462454, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], 'label': '1078.2.e', 'level': 1078, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 11], 'level_radical': 154, 'mf_dim': 368, 'mf_new_dim': 64, 'num_forms': 22, 'prim_orbit_index': 3, 'relative_dim': 32, 'sturm_bound': 336, 'trace_bound': 23, 'trace_display': [0, 0, -4, 0], 'traces': [64, 0, 0, -32, -4, -8, 0, 0, -24, 0, 0, 0, -8, 0, 8, -32, 12, -16, 0, 8, 0, 0, -32, 4, -40, -12, 24, 0, 8, 0, -4, 0, -4, 8, 0, 48, 48, -4, 44, 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id: 638406
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '1078.2.e.o', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 22, 'target_is_minimal': True, 'target_label': '1078.2.a.v', 'target_level': 1078, 'twist_class_label': '1078.2.a.v', 'twist_class_level': 1078, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 638407
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '1078.2.e.o', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 22, 'target_is_minimal': True, 'target_label': '1078.2.a.v', 'target_level': 1078, 'twist_class_label': '1078.2.a.v', 'twist_class_level': 1078, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 638408
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '1078.2.e.o', 'source_level': 1078, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '1078.2.e.o', 'target_level': 1078, 'twist_class_label': '1078.2.a.v', 'twist_class_level': 1078, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 638409
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '1078.2.e.o', 'source_level': 1078, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '1078.2.e.o', 'target_level': 1078, 'twist_class_label': '1078.2.a.v', 'twist_class_level': 1078, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 638410
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '1078.2.e.o', 'source_level': 1078, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '1078.2.e.o', 'target_level': 1078, 'twist_class_label': '1078.2.a.v', 'twist_class_level': 1078, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 638411
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '1078.2.e.o', 'source_level': 1078, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '1078.2.e.o', 'target_level': 1078, 'twist_class_label': '1078.2.a.v', 'twist_class_level': 1078, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 638412
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '1078.2.e.o', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 52, 'target_is_minimal': False, 'target_label': '8624.2.a.bz', 'target_level': 8624, 'twist_class_label': '1078.2.a.v', 'twist_class_level': 1078, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 638413
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '1078.2.e.o', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 52, 'target_is_minimal': False, 'target_label': '8624.2.a.bz', 'target_level': 8624, 'twist_class_label': '1078.2.a.v', 'twist_class_level': 1078, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 638414
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '1078.2.e.o', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 67, 'target_is_minimal': False, 'target_label': '9702.2.a.co', 'target_level': 9702, 'twist_class_label': '1078.2.a.v', 'twist_class_level': 1078, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 638415
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '1078.2.e.o', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 67, 'target_is_minimal': False, 'target_label': '9702.2.a.co', 'target_level': 9702, 'twist_class_label': '1078.2.a.v', 'twist_class_level': 1078, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1658775
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 63050669694649398, 'p': 2}
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id: 1658776
{'charpoly_factorization': [[[64, 0, 8, 0, 1], 1]], 'hecke_orbit_code': 63050669694649398, 'p': 3}
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id: 1658777
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 63050669694649398, 'p': 5}
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id: 1658778
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 63050669694649398, 'p': 7}
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id: 1658779
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 63050669694649398, 'p': 11}
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id: 1658780
{'charpoly_factorization': [[[-18, 0, 1], 2]], 'hecke_orbit_code': 63050669694649398, 'p': 13}
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id: 1658781
{'charpoly_factorization': [[[64, 0, 8, 0, 1], 1]], 'hecke_orbit_code': 63050669694649398, 'p': 17}
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id: 1658782
{'charpoly_factorization': [[[324, 0, 18, 0, 1], 1]], 'hecke_orbit_code': 63050669694649398, 'p': 19}
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id: 1658783
{'charpoly_factorization': [[[36, 6, 1], 2]], 'hecke_orbit_code': 63050669694649398, 'p': 23}
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id: 1658784
{'charpoly_factorization': [[[4, 1], 4]], 'hecke_orbit_code': 63050669694649398, 'p': 29}
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id: 1658785
{'charpoly_factorization': [[[2500, 0, 50, 0, 1], 1]], 'hecke_orbit_code': 63050669694649398, 'p': 31}
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id: 1658786
{'charpoly_factorization': [[[4, 2, 1], 2]], 'hecke_orbit_code': 63050669694649398, 'p': 37}
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id: 1658787
{'charpoly_factorization': [[[-8, 0, 1], 2]], 'hecke_orbit_code': 63050669694649398, 'p': 41}
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id: 1658788
{'charpoly_factorization': [[[-10, 1], 4]], 'hecke_orbit_code': 63050669694649398, 'p': 43}
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id: 1658789
{'charpoly_factorization': [[[26244, 0, 162, 0, 1], 1]], 'hecke_orbit_code': 63050669694649398, 'p': 47}
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id: 1658790
{'charpoly_factorization': [[[4, 2, 1], 2]], 'hecke_orbit_code': 63050669694649398, 'p': 53}
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id: 1658791
{'charpoly_factorization': [[[16384, 0, 128, 0, 1], 1]], 'hecke_orbit_code': 63050669694649398, 'p': 59}
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id: 1658792
{'charpoly_factorization': [[[9604, 0, 98, 0, 1], 1]], 'hecke_orbit_code': 63050669694649398, 'p': 61}
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id: 1658793
{'charpoly_factorization': [[[64, 8, 1], 2]], 'hecke_orbit_code': 63050669694649398, 'p': 67}
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id: 1658794
{'charpoly_factorization': [[[-16, 1], 4]], 'hecke_orbit_code': 63050669694649398, 'p': 71}
-
id: 1658795
{'charpoly_factorization': [[[5184, 0, 72, 0, 1], 1]], 'hecke_orbit_code': 63050669694649398, 'p': 73}
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id: 1658796
{'charpoly_factorization': [[[64, -8, 1], 2]], 'hecke_orbit_code': 63050669694649398, 'p': 79}
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id: 1658797
{'charpoly_factorization': [[[-162, 0, 1], 2]], 'hecke_orbit_code': 63050669694649398, 'p': 83}
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id: 1658798
{'charpoly_factorization': [[[2500, 0, 50, 0, 1], 1]], 'hecke_orbit_code': 63050669694649398, 'p': 89}
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id: 1658799
{'charpoly_factorization': [[[-50, 0, 1], 2]], 'hecke_orbit_code': 63050669694649398, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 15, 'label': '1078.2.e.o', 'level': 1078, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 233641000
{'hecke_orbit_code': 63050669694649398, 'n': 1, 'trace_an': 4}
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id: 233641001
{'hecke_orbit_code': 63050669694649398, 'n': 2, 'trace_an': -2}
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id: 233641002
{'hecke_orbit_code': 63050669694649398, 'n': 3, 'trace_an': 0}
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id: 233641003
{'hecke_orbit_code': 63050669694649398, 'n': 4, 'trace_an': -2}
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id: 233641004
{'hecke_orbit_code': 63050669694649398, 'n': 5, 'trace_an': 0}
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id: 233641005
{'hecke_orbit_code': 63050669694649398, 'n': 6, 'trace_an': 0}
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id: 233641006
{'hecke_orbit_code': 63050669694649398, 'n': 7, 'trace_an': 0}
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id: 233641007
{'hecke_orbit_code': 63050669694649398, 'n': 8, 'trace_an': 4}
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id: 233641008
{'hecke_orbit_code': 63050669694649398, 'n': 9, 'trace_an': -10}
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id: 233641009
{'hecke_orbit_code': 63050669694649398, 'n': 10, 'trace_an': 0}
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id: 233641010
{'hecke_orbit_code': 63050669694649398, 'n': 11, 'trace_an': 2}
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id: 233641011
{'hecke_orbit_code': 63050669694649398, 'n': 12, 'trace_an': 0}
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id: 233641012
{'hecke_orbit_code': 63050669694649398, 'n': 13, 'trace_an': 0}
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id: 233641013
{'hecke_orbit_code': 63050669694649398, 'n': 14, 'trace_an': 0}
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id: 233641014
{'hecke_orbit_code': 63050669694649398, 'n': 15, 'trace_an': 0}
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id: 233641015
{'hecke_orbit_code': 63050669694649398, 'n': 16, 'trace_an': -2}
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id: 233641016
{'hecke_orbit_code': 63050669694649398, 'n': 17, 'trace_an': 0}
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