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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, [4, 0, 2, 0, 1]], [5, [324, 0, 18, 0, 1]], [13, [0, 1]]], 'hecke_orbit': 16, 'hecke_orbit_code': 67554269322019894, 'hecke_ring_generator_nbound': 3, '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], 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mf_hecke_nf • Show schema
Hide schema
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0, 12, 0], [0, -37, 0, 0], [0, 0, 58, 0], [0, 0, 0, -44], [18, 0, 0, 0], [0, 38, 0, 0], [0, 21, 0, 21], [0, 0, 0, 3], [0, 16, 0, 16], [0, 0, 0, -60], [0, -14, 0, -14], [0, 0, 42, 0], [-28, 0, -28, 0]], 'char_orbit_index': 5, 'field_poly': [4, 0, 2, 0, 1], 'hecke_orbit_code': 67554269322019894, 'hecke_ring_character_values': [[199, [0, 0, 1, 0]], [981, [1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 2, 2], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 2, 0], [0, 0, 0, 2]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '1078.2.e.p', 'level': 1078, 'maxp': 1999, 'weight': 2}
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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: 638416
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '1078.2.e.p', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 21, 'target_is_minimal': True, 'target_label': '1078.2.a.u', 'target_level': 1078, 'twist_class_label': '1078.2.a.u', 'twist_class_level': 1078, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 638417
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '1078.2.e.p', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 21, 'target_is_minimal': True, 'target_label': '1078.2.a.u', 'target_level': 1078, 'twist_class_label': '1078.2.a.u', 'twist_class_level': 1078, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 638418
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '1078.2.e.p', 'source_level': 1078, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1078.2.e.p', 'target_level': 1078, 'twist_class_label': '1078.2.a.u', 'twist_class_level': 1078, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 638419
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '1078.2.e.p', 'source_level': 1078, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1078.2.e.p', 'target_level': 1078, 'twist_class_label': '1078.2.a.u', 'twist_class_level': 1078, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 638420
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '1078.2.e.p', 'source_level': 1078, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1078.2.e.p', 'target_level': 1078, 'twist_class_label': '1078.2.a.u', 'twist_class_level': 1078, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 638421
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '1078.2.e.p', 'source_level': 1078, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1078.2.e.p', 'target_level': 1078, 'twist_class_label': '1078.2.a.u', 'twist_class_level': 1078, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 638422
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '1078.2.e.p', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 45, 'target_is_minimal': False, 'target_label': '8624.2.a.bs', 'target_level': 8624, 'twist_class_label': '1078.2.a.u', 'twist_class_level': 1078, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 638423
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '1078.2.e.p', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 45, 'target_is_minimal': False, 'target_label': '8624.2.a.bs', 'target_level': 8624, 'twist_class_label': '1078.2.a.u', 'twist_class_level': 1078, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 638424
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '1078.2.e.p', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 68, 'target_is_minimal': False, 'target_label': '9702.2.a.cp', 'target_level': 9702, 'twist_class_label': '1078.2.a.u', 'twist_class_level': 1078, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 638425
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '1078.2.e.p', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 68, 'target_is_minimal': False, 'target_label': '9702.2.a.cp', 'target_level': 9702, 'twist_class_label': '1078.2.a.u', '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: 1658800
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 67554269322019894, 'p': 2}
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id: 1658801
{'charpoly_factorization': [[[4, 0, 2, 0, 1], 1]], 'hecke_orbit_code': 67554269322019894, 'p': 3}
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id: 1658802
{'charpoly_factorization': [[[324, 0, 18, 0, 1], 1]], 'hecke_orbit_code': 67554269322019894, 'p': 5}
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id: 1658803
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 67554269322019894, 'p': 7}
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id: 1658804
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 67554269322019894, 'p': 11}
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id: 1658805
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 67554269322019894, 'p': 13}
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id: 1658806
{'charpoly_factorization': [[[1024, 0, 32, 0, 1], 1]], 'hecke_orbit_code': 67554269322019894, 'p': 17}
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id: 1658807
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 67554269322019894, 'p': 19}
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id: 1658808
{'charpoly_factorization': [[[36, 6, 1], 2]], 'hecke_orbit_code': 67554269322019894, 'p': 23}
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id: 1658809
{'charpoly_factorization': [[[-2, 1], 4]], 'hecke_orbit_code': 67554269322019894, 'p': 29}
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id: 1658810
{'charpoly_factorization': [[[4, 0, 2, 0, 1], 1]], 'hecke_orbit_code': 67554269322019894, 'p': 31}
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id: 1658811
{'charpoly_factorization': [[[100, -10, 1], 2]], 'hecke_orbit_code': 67554269322019894, 'p': 37}
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id: 1658812
{'charpoly_factorization': [[[-128, 0, 1], 2]], 'hecke_orbit_code': 67554269322019894, 'p': 41}
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id: 1658813
{'charpoly_factorization': [[[8, 1], 4]], 'hecke_orbit_code': 67554269322019894, 'p': 43}
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id: 1658814
{'charpoly_factorization': [[[324, 0, 18, 0, 1], 1]], 'hecke_orbit_code': 67554269322019894, 'p': 47}
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id: 1658815
{'charpoly_factorization': [[[64, 8, 1], 2]], 'hecke_orbit_code': 67554269322019894, 'p': 53}
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id: 1658816
{'charpoly_factorization': [[[4, 0, 2, 0, 1], 1]], 'hecke_orbit_code': 67554269322019894, 'p': 59}
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id: 1658817
{'charpoly_factorization': [[[64, 0, 8, 0, 1], 1]], 'hecke_orbit_code': 67554269322019894, 'p': 61}
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id: 1658818
{'charpoly_factorization': [[[4, 2, 1], 2]], 'hecke_orbit_code': 67554269322019894, 'p': 67}
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id: 1658819
{'charpoly_factorization': [[[2, 1], 4]], 'hecke_orbit_code': 67554269322019894, 'p': 71}
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id: 1658820
{'charpoly_factorization': [[[5184, 0, 72, 0, 1], 1]], 'hecke_orbit_code': 67554269322019894, 'p': 73}
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id: 1658821
{'charpoly_factorization': [[[256, 16, 1], 2]], 'hecke_orbit_code': 67554269322019894, 'p': 79}
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id: 1658822
{'charpoly_factorization': [[[-288, 0, 1], 2]], 'hecke_orbit_code': 67554269322019894, 'p': 83}
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id: 1658823
{'charpoly_factorization': [[[2500, 0, 50, 0, 1], 1]], 'hecke_orbit_code': 67554269322019894, 'p': 89}
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id: 1658824
{'charpoly_factorization': [[[-98, 0, 1], 2]], 'hecke_orbit_code': 67554269322019894, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 16, 'label': '1078.2.e.p', '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: 237247000
{'hecke_orbit_code': 67554269322019894, 'n': 1, 'trace_an': 4}
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id: 237247001
{'hecke_orbit_code': 67554269322019894, 'n': 2, 'trace_an': -2}
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id: 237247002
{'hecke_orbit_code': 67554269322019894, 'n': 3, 'trace_an': 0}
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id: 237247003
{'hecke_orbit_code': 67554269322019894, 'n': 4, 'trace_an': -2}
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id: 237247004
{'hecke_orbit_code': 67554269322019894, 'n': 5, 'trace_an': 0}
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id: 237247005
{'hecke_orbit_code': 67554269322019894, 'n': 6, 'trace_an': 0}
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id: 237247006
{'hecke_orbit_code': 67554269322019894, 'n': 7, 'trace_an': 0}
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id: 237247007
{'hecke_orbit_code': 67554269322019894, 'n': 8, 'trace_an': 4}
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id: 237247008
{'hecke_orbit_code': 67554269322019894, 'n': 9, 'trace_an': 2}
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id: 237247009
{'hecke_orbit_code': 67554269322019894, 'n': 10, 'trace_an': 0}
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id: 237247010
{'hecke_orbit_code': 67554269322019894, 'n': 11, 'trace_an': 2}
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id: 237247011
{'hecke_orbit_code': 67554269322019894, 'n': 12, 'trace_an': 0}
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id: 237247012
{'hecke_orbit_code': 67554269322019894, 'n': 13, 'trace_an': 0}
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id: 237247013
{'hecke_orbit_code': 67554269322019894, 'n': 14, 'trace_an': 0}
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id: 237247014
{'hecke_orbit_code': 67554269322019894, 'n': 15, 'trace_an': 24}
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id: 237247015
{'hecke_orbit_code': 67554269322019894, 'n': 16, 'trace_an': -2}
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id: 237247016
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