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mf_newforms • Show schema
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{'Nk2': 6760, 'analytic_conductor': 13.494717941596384, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 65, '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': [1690, 2, [677, 171], [1, 1]], 'cm_discs': [], 'conrey_index': 1689, 'dim': 18, 'field_disc': -1467935960237834055014416384, 'field_disc_factorization': [[-1, 1], [2, 24], [7, 12], [43, 6]], 'field_poly': [1, 0, 116, 0, 1342, 0, 5559, 0, 9369, 0, 6147, 0, 1977, 0, 336, 0, 29, 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, [1, 0, 238, 0, 3451, 0, 12143, 0, 16443, 0, 10052, 0, 3044, 0, 469, 0, 35, 0, 1]], [7, [-104, -80, 380, -24, -310, 108, 55, -26, -1, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021735236732570, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 65, 4, 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': True, 'label': '1690.2.c.g', 'level': 1690, '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, 5, 13], 'level_radical': 130, 'minimal_twist': '1690.2.b.f', 'prim_orbit_index': 4, 'qexp_display': 'q-q^{2}+(\\beta _{4}-\\beta _{15})q^{3}+q^{4}+(\\beta _{6}+\\beta _{10}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 18, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1690.2.c', 'trace_display': [-18, 0, 2, 2], 'trace_hash': 59584339115537615, 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mf_hecke_nf • Show schema
Hide schema
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0, -5, 8, -13, 2, -12, 12, -2, -11, -11], [11, -16, 10, 0, 0, -9, 0, -2, 9, 1, 0, -1, 0, -9, -9, 0, -10, 10], [23, -14, 15, 0, 0, 21, 0, -10, 3, -5, 0, 5, 0, -6, -6, 0, 9, -9], [0, 0, -4, -11, -8, 0, -12, 0, 0, -9, -7, -2, -33, 7, -7, -5, 4, 4], [0, 0, 2, -9, -17, 0, -8, 0, 0, 10, 9, 1, 0, -3, 3, -16, -2, -2], [9, -5, 14, 0, 0, -10, 0, -25, 12, 5, 0, -5, 0, 3, 3, 0, -13, 13], [0, 0, 3, 8, 12, 0, 4, 0, 0, -2, 0, -2, -2, 6, -6, 12, -3, -3], [25, -1, 28, 0, 0, 24, 0, -31, 6, -8, 0, 8, 0, -10, -10, 0, 0, 0], [4, -20, 29, 0, 0, 17, 0, -19, 12, 4, 0, -4, 0, -4, -4, 0, 11, -11], [25, -19, 10, 0, 0, 13, 0, -14, 4, 6, 0, -6, 0, 0, 0, 0, -16, 16], [4, -36, 17, 0, 0, 24, 0, -28, 12, 15, 0, -15, 0, -13, -13, 0, -13, 13], [0, 0, -12, 4, 7, 0, 12, 0, 0, -6, -3, -3, 4, -12, 12, -3, 12, 12], [18, -5, 21, 0, 0, -7, 0, -7, -2, 8, 0, -8, 0, 2, 2, 0, 2, -2], [18, -8, 1, 0, 0, -3, 0, -9, -2, 12, 0, -12, 0, -2, -2, 0, -7, 7], [0, 0, 13, -14, -16, 0, 0, 0, 0, 5, 22, -17, 20, 0, 0, 6, -13, -13], [0, 0, -18, 27, 12, 0, -27, 0, 0, -3, -38, 35, 20, 16, -16, 17, 18, 18], [-13, -1, 15, 0, 0, 4, 0, -15, -4, 5, 0, -5, 0, -2, -2, 0, -8, 8], [0, 0, 5, 9, -12, 0, 4, 0, 0, -8, -11, 3, 11, -2, 2, -7, -5, -5], [0, 0, -2, 14, 24, 0, 12, 0, 0, -7, -16, 9, 22, 1, -1, -10, 2, 2], [0, 0, 12, -1, 31, 0, -2, 0, 0, 7, -3, 10, 12, 1, -1, 2, -12, -12], [0, 0, 1, -30, -12, 0, -13, 0, 0, 9, 22, -13, -12, 3, -3, -11, -1, -1], [38, 4, 15, 0, 0, 4, 0, -17, -2, -6, 0, 6, 0, 5, 5, 0, 5, -5], [2, 4, -19, 0, 0, -4, 0, 24, 4, 3, 0, -3, 0, 0, 0, 0, 9, -9], [0, 0, -12, -2, -7, 0, 0, 0, 0, 2, -3, 5, 4, -12, 12, -13, 12, 12], [-18, 8, -16, 0, 0, -8, 0, 20, 6, 4, 0, -4, 0, 3, 3, 0, -6, 6], [0, 0, 13, 6, 14, 0, -2, 0, 0, 6, 16, -10, 42, 1, -1, 8, -13, -13], [-34, 17, -19, 0, 0, -5, 0, 14, -5, -9, 0, 9, 0, 11, 11, 0, -4, 4], [-8, 5, -11, 0, 0, -11, 0, 39, -6, -6, 0, 6, 0, 3, 3, 0, -2, 2], [0, 0, 3, -1, -8, 0, -7, 0, 0, -5, -2, -3, 2, 11, -11, 7, -3, -3], [6, 18, 8, 0, 0, -4, 0, 0, -10, -8, 0, 8, 0, 2, 2, 0, 0, 0], [0, 0, -14, 17, 11, 0, -16, 0, 0, -7, -17, 10, -27, 6, -6, -2, 14, 14], [0, 0, -2, 0, -30, 0, -24, 0, 0, -6, -18, 12, -4, 7, -7, 30, 2, 2], [-5, 6, -11, 0, 0, 7, 0, 9, -3, -4, 0, 4, 0, 0, 0, 0, -3, 3], [-34, 14, 3, 0, 0, 8, 0, 22, -18, 2, 0, -2, 0, 3, 3, 0, 21, -21], [0, 0, -10, -18, 4, 0, 12, 0, 0, 5, 20, -15, -28, -11, 11, -6, 10, 10], [3, 19, -29, 0, 0, 14, 0, 17, 0, -13, 0, 13, 0, 8, 8, 0, 6, -6], [18, -32, 25, 0, 0, -2, 0, -49, 18, 12, 0, -12, 0, -7, -7, 0, -3, 3], [0, 0, -12, -11, -14, 0, -21, 0, 0, -5, -28, 23, -10, 11, -11, 7, 12, 12], [24, -16, 3, 0, 0, 2, 0, -32, 28, 1, 0, -1, 0, -10, -10, 0, -15, 15], [-20, 6, 23, 0, 0, 6, 0, 4, -30, -2, 0, 2, 0, 15, 15, 0, 13, -13]], 'char_orbit_index': 3, 'field_poly': [1, 0, 116, 0, 1342, 0, 5559, 0, 9369, 0, 6147, 0, 1977, 0, 336, 0, 29, 0, 1], 'hecke_orbit_code': 27021735236732570, 'hecke_ring_character_values': [[677, [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [171, [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 30658, 15329, 30658, 30658, 30658, 15329, 15329, 30658, 61316, 61316, 61316, 30658, 61316, 61316, 30658, 61316, 61316], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0], [-5, 3, -1, 0, 0, -1, 0, 3, -2, -1, 0, 1, 0, 1, 1, 0, 1, -1], [0, 0, 0, 1, 1, 0, -1, 0, 0, -1, -8, 7, 1, 1, -1, 2, 0, 0], [31, -24, 7, 0, 0, 9, 0, -22, 13, 7, 0, -7, 0, -8, -8, 0, -6, 6], [0, 0, 3, -15, -16, 0, 13, 0, 0, 11, 64, -53, -6, -13, 13, -22, -3, -3], [-206, 190, -49, 0, 0, -80, 0, 163, -87, -50, 0, 50, 0, 64, 64, 0, 37, -37], [0, 0, -39, 164, 169, 0, -130, 0, 0, -103, -520, 417, 40, 134, -134, 212, 39, 39], [1454, -1529, 354, 0, 0, 700, 0, -1260, 616, 378, 0, -378, 0, -523, -523, 0, -244, 244], [0, 0, 384, -1587, -1571, 0, 1182, 0, 0, 907, 4267, -3360, -300, -1259, 1259, -1933, -384, -384], [-10802, 12468, -2646, 0, 0, -6054, 0, 10052, -4583, -2976, 0, 2976, 0, 4334, 4334, 0, 1717, -1717], [0, 0, -3441, 14481, 13838, 0, -10301, 0, 0, -7775, -35262, 27487, 2409, 11293, -11293, 17095, 3441, 3441], [83499, -102646, 20403, 0, 0, 51932, 0, -81882, 35441, 24046, 0, -24046, 0, -36206, -36206, 0, -12753, 12753], [0, 0, 29641, -127978, -118837, 0, 87969, 0, 0, 65847, 292890, -227043, -19962, -98734, 98734, -148458, -29641, -29641], [-664159, 850774, -161390, 0, 0, -442916, 0, 675770, -281864, -197402, 0, 197402, 0, 303776, 303776, 0, 98668, -98668], [0, 0, -250928, 1110156, 1008044, 0, -743914, 0, 0, -554704, -2441705, 1887001, 167446, 850436, -850436, 1274792, 250928, 250928], [5387045, -7084579, 1301519, 0, 0, 3762095, 0, -5621441, 2285426, 1636073, 0, -1636073, 0, -2554209, -2554209, 0, -785637, 785637], [0, 0, 2108660, -9522035, -8500591, 0, 6262291, 0, 0, 4662869, 20408854, -15745985, -1409941, -7259729, 7259729, -10868358, -2108660, -2108660]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3368, 0, 29179, 0, -816799, 0, -3075069, 0, -2409607, 0, -827089, 0, -144249, 0, -12547, 0, -432, 0], [707, 0, 829845, 0, 5295445, 0, 10011455, 0, 6492859, 0, 2001364, 0, 322446, 0, 26281, 0, 856, 0], [0, 406523, 0, 1772002, 0, -4301121, 0, -18502165, 0, -14407793, 0, -4897329, 0, -847341, 0, -73294, 0, -2515], [0, 361509, 0, 5336655, 0, 21797781, 0, 33964399, 0, 21530185, 0, 6802785, 0, 1144195, 0, 98104, 0, 3368], [-46428, 0, 1904963, 0, 15508012, 0, 32443654, 0, 22952260, 0, 7697386, 0, 1346644, 0, 118836, 0, 4171, 0], [0, -46501, 0, -1338777, 0, -9550958, 0, -21244807, 0, -15531886, 0, -5331200, 0, -950203, 0, -85171, 0, -3029], [-31172, 0, -1338777, 0, -9550958, 0, -21244807, 0, -15531886, 0, -5331200, 0, -950203, 0, -85171, 0, -3029, 0], [-92149, 0, -3346638, 0, -25065847, 0, -55244447, 0, -38534249, 0, -12541401, 0, -2119481, 0, -180588, 0, -6131, 0], [79733, -915745, -3213, -12131704, -8013857, -62362390, -24803429, -120016060, -19555121, -82094204, -6937809, -26860880, -1260595, -4601498, -114474, -398613, -4110, -13766], [-79733, -854429, 3213, -12131704, 8013857, -62362390, 24803429, -120016060, 19555121, -82094204, 6937809, -26860880, 1260595, -4601498, 114474, -398613, 4110, -13766], [-79733, -915745, 3213, -12131704, 8013857, -62362390, 24803429, -120016060, 19555121, -82094204, 6937809, -26860880, 1260595, -4601498, 114474, -398613, 4110, -13766], [0, -202467, 0, -6982406, 0, -41597664, 0, -83273778, 0, -57967748, 0, -19216808, 0, -3329358, 0, -291319, 0, -10150], [54770, 262062, 7187961, 17971729, 52656511, 126747090, 112857433, 270363038, 81232929, 189974768, 27613905, 62840088, 4885933, 10824192, 435329, 940588, 15404, 32545], [54770, -262062, 7187961, -17971729, 52656511, -126747090, 112857433, -270363038, 81232929, -189974768, 27613905, -62840088, 4885933, -10824192, 435329, -940588, 15404, -32545], [0, -795555, 0, -16438290, 0, -92055196, 0, -182528584, 0, -126143694, 0, -41526008, 0, -7146796, 0, -621517, 0, -21536], [127283, -1963964, -684324, -36773039, -14356125, -197167137, -38966233, -379295843, -28512715, -260645191, -9463207, -85837875, -1615097, -14809199, -138352, -1291933, -4711, -44912], [-124455, -1963964, 4003704, -36773039, 35537905, -197167137, 79012053, -379295843, 54484151, -260645191, 17468663, -85837875, 2904881, -14809199, 243476, -1291933, 8135, -44912]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 18, 'label': '1690.2.c.g', 'level': 1690, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 6760, 'analytic_conductor': 13.494717941596384, 'char_conductor': 65, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [1690, 2, [677, 171], [1, 1]], 'conrey_index': 1689, 'cusp_dim': 244, 'dim': 76, 'eis_dim': 56, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7], 'hecke_orbit_code': 137472509594, 'hecke_orbit_dims': [6, 6, 6, 6, 8, 8, 18, 18], 'label': '1690.2.c', 'level': 1690, '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, 5, 13], 'level_radical': 130, 'mf_dim': 300, 'mf_new_dim': 76, 'num_forms': 8, 'prim_orbit_index': 4, 'relative_dim': 76, 'sturm_bound': 546, 'trace_bound': 5, 'trace_display': [0, 0, 0, 0], 'traces': [76, 0, 0, 76, 0, 0, 0, 0, -80, 6, 0, 0, 0, 4, 0, 76, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 16, 8, 0, 0, 0, 0, 28, -80, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, -56, 0, 0, 0, -40, 4, 0, 0, 0, 0, 0, 0, 0, 76, 0, -40, 0, 0, -104, 0, 0, 0, 0, 12, 52, 0, 0, 0, 8, 0, 124, 0, 0, 0, 0, 0, 0, 0, 0, -30, 0, 0, 0, 60, 52, 0, 0, 0, 0, -6, 80, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 16, 0, 0, 0, 8, -52, 0, 0, 0, 0, 76, 0, 0, 40, 0, 64, 0, 0, -36, 0, 0, 0, 0, -16, 28, 0, 0, 0, -80, 0, -92, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 24, 6, 0, 0, 0, 0, 28, -20, 0, 0, 0, -50, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, -48, 0, 0, 0, -190, 32, 0, 0, 0, 0, 0, 0, 0, -168, 0, 64, 0, 0, -80, 0, 0, 0, 0, -56, 102, 0, 0, 0, -72, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 4, 110, 0, 0, 0, 0, -60, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 12, 0, 0, 0, 0, 0, 76, 0, 0, 216, 0, 144, 0, 0, -40, 0, 0, 0, 0, 196, 36, 0, 0, 0, 52, 0, -104, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, -64, 138, 0, 0, 0, 0, 32, 12, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, -64, 0, 0, 0, -56, 8, 0, 0, 0, 0, -144, 0, 0, 124, 0, -180, 0, 0, 8, 0, 0, 0, 0, -60, 16, 0, 0, 0, -16, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 96, -28, 0, 0, 0, 0, -30, -148, 0, 0, 0, -42, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 60, 0, 0, 0, 52, 24, 0, 0, 0, 0, 132, 0, 0, -80, 0, 88, 0, 0, -160, 0, 0, 0, 0, -112, -6, 0, 0, 0, 80, 0, -184, 0, 0, 0, 0, 0, 0, 0, 0, 76, 0, 0, 0, -80, -44, 0, 0, 0, 0, -82, -128, 0, 0, 0, 100, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, -100, 0, 0, 0, -92, 44, 0, 0, 0, 0, -176, 0, 0, -36, 0, -32, 0, 0, 112, 0, 0, 0, 0, 16, -424, 0, 0, 0, 48, 0, -464, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, -52, -244, 0, 0, 0, 0, -22, 216, 0, 0, 0, 244, 0, 0, 0, 0, 0, 0, 0, 0, 76, 0, 152, 0, 0, 0, 160, 32, 0, 0, 0, 0, 40, 0, 0, 176, 0, -640, 0, 0, 64, 0, 0, 0, 0, 80, 70, 0, 0, 0, 8, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, -120, -64, 0, 0, 0, 0, 436, -16, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 0, -60, 0, -144, 0, 0, 0, 176, -80, 0, 0, 0, 0, -144, 0, 0, -92, 0, -172, 0, 0, -120, 0, 0, 0, 0, -104, -28, 0, 0, 0, -32, 0, 264, 0, 0, 0, 0, 0, 0, 0, 0, 42, 0, 0, 0, 20, -240, 0, 0, 0, 0, -56, 560, 0, 0, 0, -134, 0, 0, 0, 0, 0, 0, 0, 0, 60, 0, 24, 0, 0, 0, 6, -32, 0, 0, 0, 0, 152, 0, 0, -264, 0, 112, 0, 0, -16, 0, 0, 0, 0, 112, 28, 0, 0, 0, -20, 0, -284, 0, 0, 0, 0, 0, 0, 0, 0, -324, 0, 0, 0, -128, -50, 0, 0, 0, 0, 90, 104, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 276, 0, 0, 0, 332, -4, 0, 0, 0, 0, 152, 0, 0, -168, 0, -112, 0, 0, 440, 0, 0, 0, 0, -48, -310, 0, 0, 0, -248, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, -190, 0, 0, 0, 32, -6, 0, 0, 0, 0, -100, -104, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 184, 512, 0, 0, 0, 0, -168, 0, 0, -104, 0, 136, 0, 0, 64, 0, 0, 0, 0, 200, 48, 0, 0, 0, 384, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 568, 0, 0, 0, 600, -102, 0, 0, 0, 0, -160, -56, 0, 0, 0, 102, 0, 0, 0, 0, 0, 0, 0, 0, 344, 0, -320, 0, 0, 0, 152, -72, 0, 0, 0, 0, -20, 0, 0, 72, 0, 184, 0, 0, 220, 0, 0, 0, 0, -196, 36, 0, 0, 0, 624, 0, 588, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 40, 280, 0, 0, 0, 0, -40, -68, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 524, 0, 4, 0, 0, 0, 110, 68, 0, 0, 0, 0, 72, 0, 0, 140, 0, -24, 0, 0, 76, 0, 0, 0, 0, -176, -60, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, -192, -84, 0, 0, 0, 0, -64, -200, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -704, 0, -268, 0, 0, 0, -34, -428, 0, 0, 0, 0, -736, 0, 0, -132, 0, 0, 0, 0, 256, 0, 0, 0, 0, 80, 304, 0, 0, 0, -620, 0, 168, 0, 0, 0, 0, 0, 0, 0, 0, 12], 'weight': 2, 'weight_parity': 1}
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id: 789579
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 18, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1690.2.c.g', 'source_level': 1690, 'target_char_orbit': 2, 'target_dim': 18, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '1690.2.b.f', 'target_level': 1690, 'twist_class_label': '1690.2.b.f', 'twist_class_level': 1690, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 789580
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 18, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1690.2.c.g', 'source_level': 1690, 'target_char_orbit': 2, 'target_dim': 18, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '1690.2.b.f', 'target_level': 1690, 'twist_class_label': '1690.2.b.f', 'twist_class_level': 1690, 'twisting_char_label': '65.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 789581
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 18, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1690.2.c.g', 'source_level': 1690, 'target_char_orbit': 2, 'target_dim': 18, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '1690.2.b.g', 'target_level': 1690, 'twist_class_label': '1690.2.b.f', 'twist_class_level': 1690, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 789582
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 18, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1690.2.c.g', 'source_level': 1690, 'target_char_orbit': 2, 'target_dim': 18, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '1690.2.b.g', 'target_level': 1690, 'twist_class_label': '1690.2.b.f', 'twist_class_level': 1690, 'twisting_char_label': '65.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 789583
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 18, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1690.2.c.g', 'source_level': 1690, 'target_char_orbit': 3, 'target_dim': 18, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1690.2.c.g', 'target_level': 1690, 'twist_class_label': '1690.2.b.f', 'twist_class_level': 1690, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 789584
{'conductor': 65, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 18, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1690.2.c.g', 'source_level': 1690, 'target_char_orbit': 3, 'target_dim': 18, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1690.2.c.g', 'target_level': 1690, 'twist_class_label': '1690.2.b.f', 'twist_class_level': 1690, 'twisting_char_label': '65.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 789585
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 18, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1690.2.c.g', 'source_level': 1690, 'target_char_orbit': 3, 'target_dim': 18, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1690.2.c.h', 'target_level': 1690, 'twist_class_label': '1690.2.b.f', 'twist_class_level': 1690, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 789586
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 18, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1690.2.c.g', 'source_level': 1690, 'target_char_orbit': 3, 'target_dim': 18, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1690.2.c.h', 'target_level': 1690, 'twist_class_label': '1690.2.b.f', 'twist_class_level': 1690, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 789587
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 18, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1690.2.c.g', 'source_level': 1690, 'target_char_orbit': 1, 'target_dim': 9, 'target_hecke_orbit': 72, 'target_is_minimal': False, 'target_label': '8450.2.a.ct', 'target_level': 8450, 'twist_class_label': '1690.2.b.f', 'twist_class_level': 1690, 'twisting_char_label': '65.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 789588
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 18, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1690.2.c.g', 'source_level': 1690, 'target_char_orbit': 1, 'target_dim': 9, 'target_hecke_orbit': 75, 'target_is_minimal': False, 'target_label': '8450.2.a.cw', 'target_level': 8450, 'twist_class_label': '1690.2.b.f', 'twist_class_level': 1690, 'twisting_char_label': '65.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 789589
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 18, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1690.2.c.g', 'source_level': 1690, 'target_char_orbit': 1, 'target_dim': 9, 'target_hecke_orbit': 76, 'target_is_minimal': False, 'target_label': '8450.2.a.cx', 'target_level': 8450, 'twist_class_label': '1690.2.b.f', 'twist_class_level': 1690, 'twisting_char_label': '65.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 789590
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 18, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1690.2.c.g', 'source_level': 1690, 'target_char_orbit': 1, 'target_dim': 9, 'target_hecke_orbit': 79, 'target_is_minimal': False, 'target_label': '8450.2.a.da', 'target_level': 8450, 'twist_class_label': '1690.2.b.f', 'twist_class_level': 1690, 'twisting_char_label': '65.f', 'twisting_char_orbit': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2133550
{'charpoly_factorization': [[[1, 1], 18]], 'hecke_orbit_code': 27021735236732570, 'p': 2}
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id: 2133551
{'charpoly_factorization': [[[1, 0, 238, 0, 3451, 0, 12143, 0, 16443, 0, 10052, 0, 3044, 0, 469, 0, 35, 0, 1], 1]], 'hecke_orbit_code': 27021735236732570, 'p': 3}
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id: 2133552
{'charpoly_factorization': [[[1953125, -781250, 1015625, -62500, 225000, 50000, 44000, 24100, 6310, 6628, 1262, 964, 352, 80, 72, -4, 13, -2, 1], 1]], 'hecke_orbit_code': 27021735236732570, 'p': 5}
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id: 2133553
{'charpoly_factorization': [[[-104, -80, 380, -24, -310, 108, 55, -26, -1, 1], 2]], 'hecke_orbit_code': 27021735236732570, 'p': 7}
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id: 2133554
{'charpoly_factorization': [[[2849344, 0, 22245584, 0, 32352744, 0, 19720785, 0, 6050156, 0, 999082, 0, 90230, 0, 4377, 0, 106, 0, 1], 1]], 'hecke_orbit_code': 27021735236732570, 'p': 11}
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id: 2133555
{'charpoly_factorization': [[[0, 1], 18]], 'hecke_orbit_code': 27021735236732570, 'p': 13}
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id: 2133556
{'charpoly_factorization': [[[821624896, 0, 3784180624, 0, 2852693688, 0, 800683649, 0, 112788192, 0, 8960262, 0, 418674, 0, 11381, 0, 166, 0, 1], 1]], 'hecke_orbit_code': 27021735236732570, 'p': 17}
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id: 2133557
{'charpoly_factorization': [[[3655744, 0, 178121232, 0, 396790840, 0, 257291425, 0, 62376836, 0, 7054462, 0, 406806, 0, 12177, 0, 178, 0, 1], 1]], 'hecke_orbit_code': 27021735236732570, 'p': 19}
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id: 2133558
{'charpoly_factorization': [[[322624, 0, 1124810176, 0, 4680172912, 0, 2238662208, 0, 340989788, 0, 24634716, 0, 956421, 0, 20410, 0, 225, 0, 1], 1]], 'hecke_orbit_code': 27021735236732570, 'p': 23}
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id: 2133559
{'charpoly_factorization': [[[369496, -472888, -156576, 89036, 26926, -2612, -1175, -22, 15, 1], 2]], 'hecke_orbit_code': 27021735236732570, 'p': 29}
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id: 2133560
{'charpoly_factorization': [[[9103592390656, 0, 6953144565760, 0, 1320311351296, 0, 119626989632, 0, 6221302592, 0, 199487760, 0, 4015264, 0, 49432, 0, 340, 0, 1], 1]], 'hecke_orbit_code': 27021735236732570, 'p': 31}
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id: 2133561
{'charpoly_factorization': [[[229312, 336320, -301680, -41880, 35440, 3340, -1224, -120, 10, 1], 2]], 'hecke_orbit_code': 27021735236732570, 'p': 37}
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id: 2133562
{'charpoly_factorization': [[[19198042249, 0, 129848286602, 0, 61927914043, 0, 11729606415, 0, 1143625827, 0, 62846116, 0, 1984508, 0, 34757, 0, 303, 0, 1], 1]], 'hecke_orbit_code': 27021735236732570, 'p': 41}
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id: 2133563
{'charpoly_factorization': [[[7526073470161, 0, 7575514490138, 0, 2193193217895, 0, 270658181919, 0, 16524705391, 0, 536375200, 0, 9619908, 0, 95301, 0, 487, 0, 1], 1]], 'hecke_orbit_code': 27021735236732570, 'p': 43}
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id: 2133564
{'charpoly_factorization': [[[1112, 5224, -21312, -35332, -9582, 3758, 911, -174, -5, 1], 2]], 'hecke_orbit_code': 27021735236732570, 'p': 47}
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id: 2133565
{'charpoly_factorization': [[[782191661056, 0, 21781284403200, 0, 11737314110720, 0, 1206206854208, 0, 54762356032, 0, 1329849424, 0, 18382928, 0, 144296, 0, 596, 0, 1], 1]], 'hecke_orbit_code': 27021735236732570, 'p': 53}
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id: 2133566
{'charpoly_factorization': [[[1517843712064, 0, 318788482468192, 0, 66450796343188, 0, 4978232514513, 0, 179602947724, 0, 3500790274, 0, 38483810, 0, 237605, 0, 766, 0, 1], 1]], 'hecke_orbit_code': 27021735236732570, 'p': 59}
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id: 2133567
{'charpoly_factorization': [[[-17534728, -13699624, -2119308, 658380, 180536, -4518, -3683, -124, 19, 1], 2]], 'hecke_orbit_code': 27021735236732570, 'p': 61}
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id: 2133568
{'charpoly_factorization': [[[116700191, 41559162, -4507027, -2240269, 45349, 42342, -16, -341, -1, 1], 2]], 'hecke_orbit_code': 27021735236732570, 'p': 67}
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id: 2133569
{'charpoly_factorization': [[[34969908023296, 0, 41019150497792, 0, 15233612198144, 0, 1951144163392, 0, 105609094976, 0, 2546162000, 0, 31563888, 0, 211000, 0, 724, 0, 1], 1]], 'hecke_orbit_code': 27021735236732570, 'p': 71}
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id: 2133570
{'charpoly_factorization': [[[-6936152, 9698824, -5309674, 1358189, -121366, -14798, 3934, -195, -12, 1], 2]], 'hecke_orbit_code': 27021735236732570, 'p': 73}
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id: 2133571
{'charpoly_factorization': [[[-487936, 1305600, -1158016, 393152, -14688, -19744, 3872, -164, -14, 1], 2]], 'hecke_orbit_code': 27021735236732570, 'p': 79}
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id: 2133572
{'charpoly_factorization': [[[-6817999, -993782, 4033201, -771709, -209675, 43834, 1268, -407, -1, 1], 2]], 'hecke_orbit_code': 27021735236732570, 'p': 83}
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id: 2133573
{'charpoly_factorization': [[[69296696464419649, 0, 13722290708925626, 0, 1084678707345091, 0, 44565304819167, 0, 1038070049531, 0, 14055554228, 0, 109804220, 0, 481653, 0, 1095, 0, 1], 1]], 'hecke_orbit_code': 27021735236732570, 'p': 89}
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id: 2133574
{'charpoly_factorization': [[[-10724792, 9856032, -939202, -882783, 71810, 23738, -1214, -259, 6, 1], 2]], 'hecke_orbit_code': 27021735236732570, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 7, 'label': '1690.2.c.g', 'level': 1690, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 47153347
{'hecke_orbit_code': 27021735236732570, 'n': 1, 'trace_an': 18}
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id: 47153348
{'hecke_orbit_code': 27021735236732570, 'n': 2, 'trace_an': -18}
-
id: 47153349
{'hecke_orbit_code': 27021735236732570, 'n': 3, 'trace_an': 0}
-
id: 47153350
{'hecke_orbit_code': 27021735236732570, 'n': 4, 'trace_an': 18}
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id: 47153351
{'hecke_orbit_code': 27021735236732570, 'n': 5, 'trace_an': 2}
-
id: 47153352
{'hecke_orbit_code': 27021735236732570, 'n': 6, 'trace_an': 0}
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id: 47153353
{'hecke_orbit_code': 27021735236732570, 'n': 7, 'trace_an': 2}
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id: 47153354
{'hecke_orbit_code': 27021735236732570, 'n': 8, 'trace_an': -18}
-
id: 47153355
{'hecke_orbit_code': 27021735236732570, 'n': 9, 'trace_an': -16}
-
id: 47153356
{'hecke_orbit_code': 27021735236732570, 'n': 10, 'trace_an': -2}
-
id: 47153357
{'hecke_orbit_code': 27021735236732570, 'n': 11, 'trace_an': 0}
-
id: 47153358
{'hecke_orbit_code': 27021735236732570, 'n': 12, 'trace_an': 0}
-
id: 47153359
{'hecke_orbit_code': 27021735236732570, 'n': 13, 'trace_an': 0}
-
id: 47153360
{'hecke_orbit_code': 27021735236732570, 'n': 14, 'trace_an': -2}
-
id: 47153361
{'hecke_orbit_code': 27021735236732570, 'n': 15, 'trace_an': -14}
-
id: 47153362
{'hecke_orbit_code': 27021735236732570, 'n': 16, 'trace_an': 18}
-
id: 47153363
{'hecke_orbit_code': 27021735236732570, 'n': 17, 'trace_an': 0}
-
id: 47153364
{'hecke_orbit_code': 27021735236732570, 'n': 18, 'trace_an': 16}
-
id: 47153365
{'hecke_orbit_code': 27021735236732570, 'n': 19, 'trace_an': 0}
-
id: 47153366
{'hecke_orbit_code': 27021735236732570, 'n': 20, 'trace_an': 2}
-
id: 47153367
{'hecke_orbit_code': 27021735236732570, 'n': 21, 'trace_an': 0}
-
id: 47153368
{'hecke_orbit_code': 27021735236732570, 'n': 22, 'trace_an': 0}
-
id: 47153369
{'hecke_orbit_code': 27021735236732570, 'n': 23, 'trace_an': 0}
-
id: 47153370
{'hecke_orbit_code': 27021735236732570, 'n': 24, 'trace_an': 0}
-
id: 47153371
{'hecke_orbit_code': 27021735236732570, 'n': 25, 'trace_an': -22}
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id: 47153372
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