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{'Nk2': 25200, 'analytic_conductor': 92.92800825904146, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, 1], [7, -1]], 'atkin_lehner_string': '-+-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1575, 1, [1226, 127, 451], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 112161397, 'field_disc_factorization': [[112161397, 1]], 'field_poly': [46, -3, -24, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [46, 3, -24, 0, 1]], [11, [-304010, -61617, -2643, 21, 1]], [13, [545368, 102608, -6940, -5, 1]]], 'hecke_orbit': 37, 'hecke_orbit_code': 162129586652448295, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1575.4.a.bk', 'level': 1575, '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': [3, 5, 7], 'level_radical': 105, 'minimal_twist': '525.4.a.t', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}+(4+\\beta _{2})q^{4}+7q^{7}+(-2+\\cdots)q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1575.4.a', 'trace_display': [0, 0, 0, 28], 'trace_hash': 887976155179076834, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.058', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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3977, 3057, -1947], [161142, 6996, 3624, 5784], [-75380, 16896, -9990, -66], [25350, -51916, -5700, 2004]], 'char_orbit_index': 1, 'field_poly': [46, -3, -24, 0, 1], 'hecke_orbit_code': 162129586652448295, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [12, 0, 1, 0], [2, 20, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [-12, 0, 1, 0], [-2, -20, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '1575.4.a.bk', 'level': 1575, 'maxp': 2999, 'weight': 4}
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mf_newspaces • Show schema
Hide schema
{'ALdims': [16, 10, 14, 18, 19, 22, 23, 21], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [6, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [74, 74, 70, 72, 65, 68, 67, 63], 'Nk2': 25200, 'analytic_conductor': 92.92800825904146, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1575, 1, [1226, 127, 451], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 696, 'dim': 143, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 11, 13], 'hecke_orbit_code': 67110439, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 8, 8, 10, 10], 'label': '1575.4.a', 'level': 1575, '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': [3, 5, 7], 'level_radical': 105, 'mf_dim': 744, 'mf_new_dim': 143, 'num_forms': 47, 'plus_dim': 79, 'prim_orbit_index': 1, 'relative_dim': 143, 'sturm_bound': 960, 'trace_bound': 11, 'trace_display': [-1, 0, 0, -7], 'traces': [143, -1, 0, 569, 0, 0, -7, 3, 0, 0, -108, 0, -128, 7, 0, 2469, -86, 0, -110, 0, 0, 256, 412, 0, 0, -1036, 0, -35, -410, 0, 324, -597, 0, 362, 0, 0, 86, 722, 0, 0, -274, 0, 240, -870, 0, 1406, 604, 0, 7007, 0, 0, -836, 394, 0, 0, -147, 0, -658, 562, 0, 296, -3516, 0, 9031, 0, 0, 156, -490, 0, 0, 2248, 0, -1026, 6316, 0, -738, 896, 0, 4260, 0, 0, 6650, 422, 0, 0, 4222, 0, 4204, 1530, 0, 196, 1368, 0, 10024, 0, 0, -1270, -49, 0, 0, 204, 0, 6596, 540, 0, 4718, 6032, 0, -3354, 0, 0, -959, -2734, 0, 0, -2548, 0, -5346, -994, 0, 14775, 2364, 0, 1180, 0, 0, 3752, -7717, 0, 0, -5054, 0, 210, 9826, 0, -4286, 1966, 0, 7270, 0, 0, 4020, -6208, 0, 0, 15270, 0, -4318, -686, 0, 8668, -6358, 0, 3318, 0, 0, -13728, 12260, 0, 0, -1680, 0, -6440, 14314, 0, -7126, -4692, 0, 32725, 0, 0, 22448, -2956, 0, 0, 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0, -295336, 64582, 0, 139724, 0, 0, 347548, -14888, 0, 0, -168936, 0, 67506, 252034, 0, -5390, -265166, 0, 24694, 0, 0, -173874, -104580, 0, 0, 13284, 0, -206032, -132106, 0, -578502, 36260, 0, 7928, 0, 0, -112630, 34478, 0, 0, -144264, 0, -374620, -6930, 0, 137663, 117624, 0, -690270, 0, 0, -50184, -62129, 0, 0, 81190, 0, -28266, -207522, 0, 581448, 229070, 0, 195492, 0, 0, -73204, 19052, 0, 0, -206044, 0, -56496, 56928, 0, 376420, -803868, 0, 131166, 0, 0, -88348, -239608, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 764084
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 37, 'source_is_minimal': False, 'source_label': '1575.4.a.bk', 'source_level': 1575, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 20, 'target_is_minimal': True, 'target_label': '525.4.a.t', 'target_level': 525, 'twist_class_label': '525.4.a.t', 'twist_class_level': 525, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 764085
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 37, 'source_is_minimal': False, 'source_label': '1575.4.a.bk', 'source_level': 1575, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 21, 'target_is_minimal': True, 'target_label': '525.4.a.u', 'target_level': 525, 'twist_class_label': '525.4.a.t', 'twist_class_level': 525, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 764086
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 37, 'source_is_minimal': False, 'source_label': '1575.4.a.bk', 'source_level': 1575, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '525.4.d.n', 'target_level': 525, 'twist_class_label': '525.4.a.t', 'twist_class_level': 525, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 764087
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 37, 'source_is_minimal': False, 'source_label': '1575.4.a.bk', 'source_level': 1575, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '1575.4.a.bj', 'target_level': 1575, 'twist_class_label': '525.4.a.t', 'twist_class_level': 525, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 764088
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 37, 'source_is_minimal': False, 'source_label': '1575.4.a.bk', 'source_level': 1575, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 37, 'target_is_minimal': False, 'target_label': '1575.4.a.bk', 'target_level': 1575, 'twist_class_label': '525.4.a.t', 'twist_class_level': 525, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2050950
{'charpoly_factorization': [[[46, 3, -24, 0, 1], 1]], 'hecke_orbit_code': 162129586652448295, 'p': 2}
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id: 2050951
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 162129586652448295, 'p': 3}
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id: 2050952
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 162129586652448295, 'p': 5}
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id: 2050953
{'charpoly_factorization': [[[-7, 1], 4]], 'hecke_orbit_code': 162129586652448295, 'p': 7}
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id: 2050954
{'charpoly_factorization': [[[-304010, -61617, -2643, 21, 1], 1]], 'hecke_orbit_code': 162129586652448295, 'p': 11}
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id: 2050955
{'charpoly_factorization': [[[545368, 102608, -6940, -5, 1], 1]], 'hecke_orbit_code': 162129586652448295, 'p': 13}
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id: 2050956
{'charpoly_factorization': [[[-25684592, -950244, -6354, 99, 1], 1]], 'hecke_orbit_code': 162129586652448295, 'p': 17}
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id: 2050957
{'charpoly_factorization': [[[1017760, 56952, -2272, -72, 1], 1]], 'hecke_orbit_code': 162129586652448295, 'p': 19}
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id: 2050958
{'charpoly_factorization': [[[-390917, -245766, -10140, 102, 1], 1]], 'hecke_orbit_code': 162129586652448295, 'p': 23}
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id: 2050959
{'charpoly_factorization': [[[130344085, 3118416, -11126, -240, 1], 1]], 'hecke_orbit_code': 162129586652448295, 'p': 29}
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id: 2050960
{'charpoly_factorization': [[[137611224, 9643212, -17154, -351, 1], 1]], 'hecke_orbit_code': 162129586652448295, 'p': 31}
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id: 2050961
{'charpoly_factorization': [[[-476873082, 34706907, -79227, -399, 1], 1]], 'hecke_orbit_code': 162129586652448295, 'p': 37}
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id: 2050962
{'charpoly_factorization': [[[-91750400, -7249920, -1992, 381, 1], 1]], 'hecke_orbit_code': 162129586652448295, 'p': 41}
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id: 2050963
{'charpoly_factorization': [[[3696646993, 31076428, -76690, -460, 1], 1]], 'hecke_orbit_code': 162129586652448295, 'p': 43}
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id: 2050964
{'charpoly_factorization': [[[11323563904, -6840024, -284744, 60, 1], 1]], 'hecke_orbit_code': 162129586652448295, 'p': 47}
-
id: 2050965
{'charpoly_factorization': [[[-2685647720, -20999988, 106398, 873, 1], 1]], 'hecke_orbit_code': 162129586652448295, 'p': 53}
-
id: 2050966
{'charpoly_factorization': [[[-35121553400, 182111616, -53900, -855, 1], 1]], 'hecke_orbit_code': 162129586652448295, 'p': 59}
-
id: 2050967
{'charpoly_factorization': [[[13537528704, 82183248, -192420, -687, 1], 1]], 'hecke_orbit_code': 162129586652448295, 'p': 61}
-
id: 2050968
{'charpoly_factorization': [[[120089209012, -260690675, -750601, 503, 1], 1]], 'hecke_orbit_code': 162129586652448295, 'p': 67}
-
id: 2050969
{'charpoly_factorization': [[[-3046275956, 62953629, -121625, -681, 1], 1]], 'hecke_orbit_code': 162129586652448295, 'p': 71}
-
id: 2050970
{'charpoly_factorization': [[[-498004222688, 1661433160, -937096, -1228, 1], 1]], 'hecke_orbit_code': 162129586652448295, 'p': 73}
-
id: 2050971
{'charpoly_factorization': [[[-14999641370, -210853083, -737035, -345, 1], 1]], 'hecke_orbit_code': 162129586652448295, 'p': 79}
-
id: 2050972
{'charpoly_factorization': [[[-374122465304, -1000471236, -99158, 1509, 1], 1]], 'hecke_orbit_code': 162129586652448295, 'p': 83}
-
id: 2050973
{'charpoly_factorization': [[[-25670269520, 911310552, -1634992, -198, 1], 1]], 'hecke_orbit_code': 162129586652448295, 'p': 89}
-
id: 2050974
{'charpoly_factorization': [[[190440971632, 410754288, -1739968, 372, 1], 1]], 'hecke_orbit_code': 162129586652448295, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 37, 'label': '1575.4.a.bk', 'level': 1575, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 70053169
{'hecke_orbit_code': 162129586652448295, 'n': 1, 'trace_an': 4}
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id: 70053170
{'hecke_orbit_code': 162129586652448295, 'n': 2, 'trace_an': 0}
-
id: 70053171
{'hecke_orbit_code': 162129586652448295, 'n': 3, 'trace_an': 0}
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id: 70053172
{'hecke_orbit_code': 162129586652448295, 'n': 4, 'trace_an': 16}
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id: 70053173
{'hecke_orbit_code': 162129586652448295, 'n': 5, 'trace_an': 0}
-
id: 70053174
{'hecke_orbit_code': 162129586652448295, 'n': 6, 'trace_an': 0}
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id: 70053175
{'hecke_orbit_code': 162129586652448295, 'n': 7, 'trace_an': 28}
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id: 70053176
{'hecke_orbit_code': 162129586652448295, 'n': 8, 'trace_an': -9}
-
id: 70053177
{'hecke_orbit_code': 162129586652448295, 'n': 9, 'trace_an': 0}
-
id: 70053178
{'hecke_orbit_code': 162129586652448295, 'n': 10, 'trace_an': 0}
-
id: 70053179
{'hecke_orbit_code': 162129586652448295, 'n': 11, 'trace_an': -21}
-
id: 70053180
{'hecke_orbit_code': 162129586652448295, 'n': 12, 'trace_an': 0}
-
id: 70053181
{'hecke_orbit_code': 162129586652448295, 'n': 13, 'trace_an': 5}
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id: 70053182
{'hecke_orbit_code': 162129586652448295, 'n': 14, 'trace_an': 0}
-
id: 70053183
{'hecke_orbit_code': 162129586652448295, 'n': 15, 'trace_an': 0}
-
id: 70053184
{'hecke_orbit_code': 162129586652448295, 'n': 16, 'trace_an': 72}
-
id: 70053185
{'hecke_orbit_code': 162129586652448295, 'n': 17, 'trace_an': -99}
-
id: 70053186
{'hecke_orbit_code': 162129586652448295, 'n': 18, 'trace_an': 0}
-
id: 70053187
{'hecke_orbit_code': 162129586652448295, 'n': 19, 'trace_an': 72}
-
id: 70053188
{'hecke_orbit_code': 162129586652448295, 'n': 20, 'trace_an': 0}
-
id: 70053189
{'hecke_orbit_code': 162129586652448295, 'n': 21, 'trace_an': 0}
-
id: 70053190
{'hecke_orbit_code': 162129586652448295, 'n': 22, 'trace_an': 221}
-
id: 70053191
{'hecke_orbit_code': 162129586652448295, 'n': 23, 'trace_an': -102}
-
id: 70053192
{'hecke_orbit_code': 162129586652448295, 'n': 24, 'trace_an': 0}
-
id: 70053193
{'hecke_orbit_code': 162129586652448295, 'n': 25, 'trace_an': 0}
-
id: 70053194
{'hecke_orbit_code': 162129586652448295, 'n': 26, 'trace_an': -129}
-
id: 70053195
{'hecke_orbit_code': 162129586652448295, 'n': 27, 'trace_an': 0}
-
id: 70053196
{'hecke_orbit_code': 162129586652448295, 'n': 28, 'trace_an': 112}
-
id: 70053197
{'hecke_orbit_code': 162129586652448295, 'n': 29, 'trace_an': 240}
-
id: 70053198
{'hecke_orbit_code': 162129586652448295, 'n': 30, 'trace_an': 0}
-
id: 70053199
{'hecke_orbit_code': 162129586652448295, 'n': 31, 'trace_an': 351}
-
id: 70053200
{'hecke_orbit_code': 162129586652448295, 'n': 32, 'trace_an': -72}
-
id: 70053201
{'hecke_orbit_code': 162129586652448295, 'n': 33, 'trace_an': 0}
-
id: 70053202
{'hecke_orbit_code': 162129586652448295, 'n': 34, 'trace_an': -285}
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id: 70053203
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