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mf_newforms • Show schema
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{'Nk2': 27648, 'analytic_conductor': 101.95530048991978, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 12, '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': [1728, 2, [703, 325, 1217], [1, 2, 1]], 'cm_discs': [], 'conrey_index': 1727, 'dim': 12, 'field_disc': 525544359893139456, 'field_disc_factorization': [[2, 18], [3, 6], [229, 4]], 'field_poly': [64, 0, -256, 0, 928, 0, -368, 0, 112, 0, -12, 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': [[5, [430592, 0, 43200, 0, 408, 0, 1]], [7, [5203467, 0, 281979, 0, 1209, 0, 1]], [11, [-442934784, 0, 2591424, 0, -3912, 0, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36028934525028032, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 36520347436056576, 'hecke_ring_index_factorization': [[2, 36], [3, 12]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 4, 2, -1, 2, 0], [1, 1, 12, 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': '1728.4.c.i', 'level': 1728, 'level_is_powerful': True, '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, 3], 'level_radical': 6, 'minimal_twist': '108.4.b.a', 'prim_orbit_index': 2, 'qexp_display': 'q-\\beta _{6}q^{5}-\\beta _{1}q^{7}+\\beta _{5}q^{11}+(-3-\\beta _{2}+\\cdots)q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 12, 'rm_discs': [], 'sato_tate_group': '3.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1728.4.c', 'trace_display': [0, 0, 0, 0], 'trace_hash': 38765531973804434, 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mf_hecke_nf • Show schema
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0, 0, 0], [38970, 0, -224, 0, -597, 0, 0, 0, 0, 0, 0, 0], [0, 887, 0, 3662, 0, 0, 0, 0, 146, 0, 0, 0], [0, 0, 0, 0, 0, -31, 0, -123, 0, 0, -246, 0], [11154, 0, -888, 0, -445, 0, 0, 0, 0, 0, 0, 0], [83746, 0, -368, 0, -401, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1654, 0, -663, 0, 0, -204, 0], [0, 0, 0, 0, 0, -1743, 0, 0, 0, 0, -431, 0], [0, 1392, 0, -1342, 0, 0, 0, 0, -112, 0, 0, 0], [0, 0, 0, 0, 0, -1330, 0, 357, 0, 0, 552, 0], [-61179, 0, -383, 0, -641, 0, 0, 0, 0, 0, 0, 0], [0, -18, 0, -1331, 0, 0, 0, 0, -644, 0, 0, 0], [0, 0, 0, 0, 0, 961, 0, -347, 0, 0, -15, 0], [-57161, 0, -572, 0, -335, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -2290, 0, 0, -1056, 0, -602], [0, 2944, 0, 2560, 0, 0, 0, 0, 383, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2868, 0, 0, -827, 0, 361], [0, 0, 0, 0, 0, 0, 1032, 0, 0, 140, 0, -577], [0, 0, 0, 0, 0, 1778, 0, -21, 0, 0, -428, 0], [0, 0, 0, 0, 0, 0, 1993, 0, 0, -30, 0, -171], [0, 0, 0, 0, 0, -1494, 0, 949, 0, 0, 276, 0], [-28326, 0, 1280, 0, -696, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -3627, 0, 0, 368, 0, 325], [0, -1552, 0, 382, 0, 0, 0, 0, 501, 0, 0, 0], [0, 0, 0, 0, 0, 0, -3094, 0, 0, 978, 0, 249], [0, 0, 0, 0, 0, 2512, 0, 202, 0, 0, -102, 0], [0, -3170, 0, -2907, 0, 0, 0, 0, -288, 0, 0, 0], [5499, 0, 824, 0, 302, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -1362, 0, 0, -1306, 0, 246], [0, -4437, 0, 1058, 0, 0, 0, 0, 261, 0, 0, 0]], 'char_orbit_index': 3, 'field_poly': [64, 0, -256, 0, 928, 0, -368, 0, 112, 0, -12, 0, 1], 'hecke_orbit_code': 36028934525028032, 'hecke_ring_character_values': [[703, [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [325, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [1217, [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 3152, 3152, 3152, 197, 3152, 1576, 197, 3152, 197, 1576, 1576], 'hecke_ring_inverse_denominators': [1, 576, 144, 18, 72, 144, 9, 24, 18, 3, 9, 18], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, -24, -41, 1, 0, -4, 4, 1], [288, -15, 4, -28, -1, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, -17, 0, 0, -1, 0, 1], [-960, -81, -16, -88, 7, 0, 0, 0, 9, 0, 0, 0], [0, 0, 0, 0, 0, 384, -533, -45, 0, -16, -24, 37], [-1800, 0, -32, 0, 17, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 520, 717, -69, 0, 12, -28, -53], [-14208, 1563, -260, 1244, 149, 0, 0, 0, -111, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1463, 0, 0, 16, 0, -111], [57408, 6531, 1064, 4992, -629, 0, 0, 0, -435, 0, 0, 0], [0, 0, 0, 0, 0, -26208, 35993, 3729, 0, 304, 1272, -2761]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-9488, 0, 63944, 0, -18840, 0, 6712, 0, -691, 0, 67, 0], [-240608, 0, -3264, 0, 11832, 0, -12540, 0, 1428, 0, -153, 0], [34416, 0, -227592, 0, 85680, 0, -27468, 0, 2943, 0, -252, 0], [-7448, 0, -384, 0, 1392, 0, -1371, 0, 168, 0, -18, 0], [0, 162912, 0, -310816, 0, 122008, 0, -33844, 0, 3598, 0, -287], [0, 4560, 0, -159552, 0, 64600, 0, -20710, 0, 2233, 0, -190], [0, 44304, 0, -84560, 0, 33488, 0, -8942, 0, 944, 0, -73], [252272, 0, -1650872, 0, 697128, 0, -213400, 0, 23005, 0, -1909, 0], [0, -2544, 0, 84870, 0, -36040, 0, 11554, 0, -1252, 0, 106], [0, 639168, 0, -1218512, 0, 470408, 0, -138584, 0, 14792, 0, -1219], [0, 57168, 0, -2005056, 0, 809880, 0, -259638, 0, 27945, 0, -2382]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 12, 'label': '1728.4.c.i', 'level': 1728, 'maxp': 1999, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 27648, 'analytic_conductor': 101.95530048991978, 'char_conductor': 12, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [1728, 2, [703, 325, 1217], [1, 2, 1]], 'conrey_index': 1727, 'cusp_dim': 828, 'dim': 96, 'eis_dim': 72, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11], 'hecke_orbit_code': 137506064064, 'hecke_orbit_dims': [2, 2, 2, 2, 4, 4, 4, 4, 12, 12, 24, 24], 'label': '1728.4.c', 'level': 1728, 'level_is_powerful': True, '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, 3], 'level_radical': 6, 'mf_dim': 900, 'mf_new_dim': 96, 'num_forms': 12, 'prim_orbit_index': 2, 'relative_dim': 96, 'sturm_bound': 1152, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2400, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -504, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4704, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1488, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11952, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 696, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7392, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11808, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3480, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -9936, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2400, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -17280, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6864, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -29136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12720, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -9504, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -30720, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10032, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -25968, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10656, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 38040, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -35280, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7080, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 38928, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -13488, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52536, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 42480, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 50976, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -14928, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 49656, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4464, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -74304, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 78864, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 42048, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64704, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -118296, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26784, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22512, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24480, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -38640, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55296, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -87864, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 134064, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20496, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -39552, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -110664, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -136560, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 147552, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -19104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -215400, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22944, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -179184, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 23472, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24744, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -129552, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -14160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -35664, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 242160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -67584, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 171192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -105312, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 43128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 79296, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48840, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -99312, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 21168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -124560, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 265080, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -31968, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36480, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -111720, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 189120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4848, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 800006
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1728.4.c.i', 'source_level': 1728, 'target_char_orbit': 2, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '108.4.b.a', 'target_level': 108, 'twist_class_label': '108.4.b.a', 'twist_class_level': 108, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 800007
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1728.4.c.i', 'source_level': 1728, 'target_char_orbit': 2, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '108.4.b.a', 'target_level': 108, 'twist_class_label': '108.4.b.a', 'twist_class_level': 108, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 800008
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1728.4.c.i', 'source_level': 1728, 'target_char_orbit': 2, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '108.4.b.a', 'target_level': 108, 'twist_class_label': '108.4.b.a', 'twist_class_level': 108, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 800009
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1728.4.c.i', 'source_level': 1728, 'target_char_orbit': 2, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '108.4.b.a', 'target_level': 108, 'twist_class_label': '108.4.b.a', 'twist_class_level': 108, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 800010
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1728.4.c.i', 'source_level': 1728, 'target_char_orbit': 3, 'target_dim': 12, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1728.4.c.i', 'target_level': 1728, 'twist_class_label': '108.4.b.a', 'twist_class_level': 108, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 800011
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1728.4.c.i', 'source_level': 1728, 'target_char_orbit': 3, 'target_dim': 12, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1728.4.c.i', 'target_level': 1728, 'twist_class_label': '108.4.b.a', 'twist_class_level': 108, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 800012
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1728.4.c.i', 'source_level': 1728, 'target_char_orbit': 3, 'target_dim': 12, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1728.4.c.i', 'target_level': 1728, 'twist_class_label': '108.4.b.a', 'twist_class_level': 108, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 800013
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1728.4.c.i', 'source_level': 1728, 'target_char_orbit': 3, 'target_dim': 12, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1728.4.c.i', 'target_level': 1728, 'twist_class_label': '108.4.b.a', 'twist_class_level': 108, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 4}
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mf_hecke_charpolys • Show schema
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id: 2164825
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 36028934525028032, 'p': 2}
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id: 2164826
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 36028934525028032, 'p': 3}
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id: 2164827
{'charpoly_factorization': [[[430592, 0, 43200, 0, 408, 0, 1], 2]], 'hecke_orbit_code': 36028934525028032, 'p': 5}
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id: 2164828
{'charpoly_factorization': [[[5203467, 0, 281979, 0, 1209, 0, 1], 2]], 'hecke_orbit_code': 36028934525028032, 'p': 7}
-
id: 2164829
{'charpoly_factorization': [[[-442934784, 0, 2591424, 0, -3912, 0, 1], 2]], 'hecke_orbit_code': 36028934525028032, 'p': 11}
-
id: 2164830
{'charpoly_factorization': [[[-105973, -4629, 9, 1], 4]], 'hecke_orbit_code': 36028934525028032, 'p': 13}
-
id: 2164831
{'charpoly_factorization': [[[21293875712, 0, 38111424, 0, 16344, 0, 1], 2]], 'hecke_orbit_code': 36028934525028032, 'p': 17}
-
id: 2164832
{'charpoly_factorization': [[[55289547, 0, 109772091, 0, 22329, 0, 1], 2]], 'hecke_orbit_code': 36028934525028032, 'p': 19}
-
id: 2164833
{'charpoly_factorization': [[[-2278747067904, 0, 1136104128, 0, -66696, 0, 1], 2]], 'hecke_orbit_code': 36028934525028032, 'p': 23}
-
id: 2164834
{'charpoly_factorization': [[[469937979392, 0, 2202356736, 0, 103008, 0, 1], 2]], 'hecke_orbit_code': 36028934525028032, 'p': 29}
-
id: 2164835
{'charpoly_factorization': [[[57669803712, 0, 75138480, 0, 24996, 0, 1], 2]], 'hecke_orbit_code': 36028934525028032, 'p': 31}
-
id: 2164836
{'charpoly_factorization': [[[-20595901, -112581, 129, 1], 4]], 'hecke_orbit_code': 36028934525028032, 'p': 37}
-
id: 2164837
{'charpoly_factorization': [[[8632577589248, 0, 3744992256, 0, 180576, 0, 1], 2]], 'hecke_orbit_code': 36028934525028032, 'p': 41}
-
id: 2164838
{'charpoly_factorization': [[[4259903272128, 0, 10771534512, 0, 214788, 0, 1], 2]], 'hecke_orbit_code': 36028934525028032, 'p': 43}
-
id: 2164839
{'charpoly_factorization': [[[-5276542957056, 0, 45110469312, 0, -443400, 0, 1], 2]], 'hecke_orbit_code': 36028934525028032, 'p': 47}
-
id: 2164840
{'charpoly_factorization': [[[1446033784832, 0, 1220938752, 0, 124512, 0, 1], 2]], 'hecke_orbit_code': 36028934525028032, 'p': 53}
-
id: 2164841
{'charpoly_factorization': [[[-6660841806226944, 0, 130681250496, 0, -708936, 0, 1], 2]], 'hecke_orbit_code': 36028934525028032, 'p': 59}
-
id: 2164842
{'charpoly_factorization': [[[3664703, -32205, -243, 1], 4]], 'hecke_orbit_code': 36028934525028032, 'p': 61}
-
id: 2164843
{'charpoly_factorization': [[[74359881698067, 0, 7751789739, 0, 167169, 0, 1], 2]], 'hecke_orbit_code': 36028934525028032, 'p': 67}
-
id: 2164844
{'charpoly_factorization': [[[-5590064755113984, 0, 625097834496, 0, -1769472, 0, 1], 2]], 'hecke_orbit_code': 36028934525028032, 'p': 71}
-
id: 2164845
{'charpoly_factorization': [[[-57176231, -332109, -165, 1], 4]], 'hecke_orbit_code': 36028934525028032, 'p': 73}
-
id: 2164846
{'charpoly_factorization': [[[21480664988869947, 0, 235799985051, 0, 849513, 0, 1], 2]], 'hecke_orbit_code': 36028934525028032, 'p': 79}
-
id: 2164847
{'charpoly_factorization': [[[-632941911834624, 0, 2420619439104, 0, -3139872, 0, 1], 2]], 'hecke_orbit_code': 36028934525028032, 'p': 83}
-
id: 2164848
{'charpoly_factorization': [[[108564713814467072, 0, 1277155246272, 0, 2273112, 0, 1], 2]], 'hecke_orbit_code': 36028934525028032, 'p': 89}
-
id: 2164849
{'charpoly_factorization': [[[28667317, -40581, -633, 1], 4]], 'hecke_orbit_code': 36028934525028032, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 9, 'label': '1728.4.c.i', 'level': 1728, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 51972013
{'hecke_orbit_code': 36028934525028032, 'n': 1, 'trace_an': 12}
-
id: 51972014
{'hecke_orbit_code': 36028934525028032, 'n': 2, 'trace_an': 0}
-
id: 51972015
{'hecke_orbit_code': 36028934525028032, 'n': 3, 'trace_an': 0}
-
id: 51972016
{'hecke_orbit_code': 36028934525028032, 'n': 4, 'trace_an': 0}
-
id: 51972017
{'hecke_orbit_code': 36028934525028032, 'n': 5, 'trace_an': 0}
-
id: 51972018
{'hecke_orbit_code': 36028934525028032, 'n': 6, 'trace_an': 0}
-
id: 51972019
{'hecke_orbit_code': 36028934525028032, 'n': 7, 'trace_an': 0}
-
id: 51972020
{'hecke_orbit_code': 36028934525028032, 'n': 8, 'trace_an': 0}
-
id: 51972021
{'hecke_orbit_code': 36028934525028032, 'n': 9, 'trace_an': 0}
-
id: 51972022
{'hecke_orbit_code': 36028934525028032, 'n': 10, 'trace_an': 0}
-
id: 51972023
{'hecke_orbit_code': 36028934525028032, 'n': 11, 'trace_an': 0}
-
id: 51972024
{'hecke_orbit_code': 36028934525028032, 'n': 12, 'trace_an': 0}
-
id: 51972025
{'hecke_orbit_code': 36028934525028032, 'n': 13, 'trace_an': -36}
-
id: 51972026
{'hecke_orbit_code': 36028934525028032, 'n': 14, 'trace_an': 0}
-
id: 51972027
{'hecke_orbit_code': 36028934525028032, 'n': 15, 'trace_an': 0}
-
id: 51972028
{'hecke_orbit_code': 36028934525028032, 'n': 16, 'trace_an': 0}
-
id: 51972029
{'hecke_orbit_code': 36028934525028032, 'n': 17, 'trace_an': 0}
-
id: 51972030
{'hecke_orbit_code': 36028934525028032, 'n': 18, 'trace_an': 0}
-
id: 51972031
{'hecke_orbit_code': 36028934525028032, 'n': 19, 'trace_an': 0}
-
id: 51972032
{'hecke_orbit_code': 36028934525028032, 'n': 20, 'trace_an': 0}
-
id: 51972033
{'hecke_orbit_code': 36028934525028032, 'n': 21, 'trace_an': 0}
-
id: 51972034
{'hecke_orbit_code': 36028934525028032, 'n': 22, 'trace_an': 0}
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