Formats: - HTML - YAML - JSON - 2026-10-23T11:05:16.596242
Query: /api/mf_newspaces/?_offset=0

Table mf_newspaces

Newspaces $S_k^{\rm new}(N,\chi)$ of modular forms

Show schema

{'ALdims': [12, 16, 18, 10, 21, 19, 21, 25], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [55, 62, 56, 60, 57, 47, 49, 49], 'Nk2': 17100, 'analytic_conductor': 34.136046864097366, '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': [4275, 1, [1901, 1027, 1351], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 577, 'dim': 142, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 11], 'hecke_orbit_code': 33558707, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6, 6, 7, 7, 12], 'id': 923962, 'label': '4275.2.a', 'level': 4275, '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, 19], 'level_radical': 285, 'mf_dim': 624, 'mf_new_dim': 142, 'num_forms': 50, 'plus_dim': 62, 'prim_orbit_index': 1, 'relative_dim': 142, 'sturm_bound': 1200, 'trace_bound': 13, 'trace_display': [1, 0, 0, 5], 'traces': [142, 1, 0, 143, 0, 0, 5, -3, 0, 0, 13, 0, -2, -12, 0, 145, -11, 0, -2, 0, 0, 4, -8, 0, 0, 6, 0, 18, 32, 0, 0, 5, 0, 18, 0, 0, -12, -3, 0, 0, 0, 0, 13, 66, 0, 36, -1, 0, 145, 0, 0, 14, 26, 0, 0, 8, 0, 10, -18, 0, -9, 8, 0, 185, 0, 0, 12, -52, 0, 0, -42, 0, 1, 62, 0, -5, -41, 0, 8, 0, 0, 38, 16, 0, 0, 4, 0, -32, -2, 0, -16, 40, 0, -32, 0, 0, -6, 5, 0, 0, 28, 0, -34, 18, 0, 6, 34, 0, 38, 0, 0, 88, 20, 0, 0, 142, 0, 20, -11, 0, 213, 26, 0, -76, 0, 0, 46, -59, 0, 0, 3, 0, 1, 8, 0, 106, 29, 0, 9, 0, 0, 48, 36, 0, 0, -102, 0, -34, 57, 0, -74, -3, 0, -20, 0, 0, 36, 40, 0, 0, 0, 0, 28, -134, 0, -108, 2, 0, 170, 0, 0, 78, -24, 0, 0, 228, 0, -66, 38, 0, 56, 64, 0, 136, 0, 0, -15, 90, 0, 0, 69, 0, 14, 26, 0, 245, -56, 0, -35, 0, 0, 42, 14, 0, 0, -36, 0, -22, 25, 0, 126, 86, 0, -140, 0, 0, 44, -74, 0, 0, -56, 0, 34, 132, 0, 166, 0, 0, -71, 0, 0, 18, -81, 0, 0, 8, 0, -88, -19, 0, -28, 137, 0, -92, 0, 0, 2, -16, 0, 0, 75, 0, -20, -8, 0, -35, -74, 0, 62, 0, 0, 52, -29, 0, 0, 24, 0, 16, -106, 0, -92, -130, 0, -222, 0, 0, -3, 80, 0, 0, -12, 0, -71, -152, 0, -100, 38, 0, 221, 0, 0, 60, -18, 0, 0, 74, 0, -166, -40, 0, -85, -40, 0, -35, 0, 0, -36, -262, 0, 0, -177, 0, 16, 6, 0, 4, -68, 0, -38, 0, 0, 40, -15, 0, 0, -68, 0, 86, 17, 0, -124, 92, 0, -136, 0, 0, -138, 103, 0, 0, -120, 0, -5, 216, 0, 42, 99, 0, -115, 0, 0, 204, -116, 0, 0, 154, 0, -116, 177, 0, 142, -106, 0, 200, 0, 0, 12, 200, 0, 0, -72, 0, -86, 144, 0, -92, 36, 0, -14, 0, 0, 88, 4, 0, 0, 126, 0, -138, -53, 0, -4, 53, 0, 186, 0, 0, -43, 116, 0, 0, 230, 0, 184, -26, 0, 60, -110, 0, 182, 0, 0, -40, -82, 0, 0, 26, 0, 28, -44, 0, -122, 132, 0, -70, 0, 0, -45, 244, 0, 0, 60, 0, -4, -240, 0, 190, -16, 0, 18, 0, 0, -44, 163, 0, 0, 88, 0, 172, -34, 0, -42, -70, 0, -132, 0, 0, 23, -70, 0, 0, 9, 0, 15, 246, 0, 286, 67, 0, -192, 0, 0, -180, 71, 0, 0, 10, 0, 48, 72, 0, 284, -190, 0, 81, 0, 0, 10, -62, 0, 0, -64, 0, -122, -6, 0, -148, 154, 0, 107, 0, 0, -172, -84, 0, 0, -320, 0, 148, -202, 0, -35, -87, 0, -74, 0, 0, -115, -176, 0, 0, 106, 0, -90, -138, 0, 48, 88, 0, 198, 0, 0, -30, 20, 0, 0, 148, 0, -134, 62, 0, -125, -272, 0, -58, 0, 0, -40, -20, 0, 0, 28, 0, 128, 50, 0, -270, -143, 0, 24, 0, 0, -130, 226, 0, 0, -368, 0, -40, 86, 0, -84, -100, 0, -232, 0, 0, -5, -129, 0, 0, -172, 0, 224, -230, 0, -418, -157, 0, -12, 0, 0, -114, -208, 0, 0, -148, 0, 136, -188, 0, -168, 12, 0, -92, 0, 0, -12, -39, 0, 0, -152, 0, 157, 36, 0, -304, 177, 0, 372, 0, 0, 80, 8, 0, 0, -78, 0, -30, 34, 0, 113, -48, 0, -154, 0, 0, 50, -192, 0, 0, 278, 0, 33, -68, 0, 14, -207, 0, 90, 0, 0, 8, 197, 0, 0, -498, 0, -200, -178, 0, 270, 244, 0, -296, 0, 0, -64, -140, 0, 0, -85, 0, 112, -94, 0, 53, 28, 0, 204, 0, 0, -24, 100, 0, 0, 120, 0, 244, 216, 0, 191, 54, 0, -696, 0, 0, -134, -182, 0, 0, -44, 0, 40, 200, 0, -362, 126, 0, 148, 0, 0, -226, 256, 0, 0, 148, 0, -136, -127, 0, -222, 1, 0, -210, 0, 0, -37, 304, 0, 0, 121, 0, 88, 0, 0, -92, 96, 0, 137, 0, 0, -8, -88, 0, 0, -138, 0, -42, 102, 0, 180, 188, 0, -204, 0, 0, 43, 68, 0, 0, 309, 0, 88, -234, 0, -340, -128, 0, -173, 0, 0, -98, -40, 0, 0, -122, 0, -278, 20, 0, 62, 160, 0, -183, 0, 0, 128, -206, 0, 0, -302, 0, 92, -142, 0, -214, -42, 0, -265, 0, 0, -202, -103, 0, 0, 284, 0, -154, -25, 0, 104, 252, 0, 152, 0, 0, 41, -62, 0, 0, 269, 0, 37, 76, 0, -208, -72, 0, 402, 0, 0, 98, 60, 0, 0, 118, 0, 36, -302, 0, 30, -170, 0, 220, 0, 0, 14, 402, 0, 0, 20, 0, 16, -540, 0, -228, 160, 0, -15, 0, 0, 200, 42, 0, 0, -154, 0, 216, 172, 0, 80, -138, 0, 44, 0, 0, 12, -472, 0, 0, -59, 0, 313, 212, 0, 132, -58, 0, -182, 0, 0, -132, -21, 0, 0, 488, 0, 142, -128, 0, 216, -48, 0, 30, 0, 0, -112, 56, 0, 0, -518, 0, -64, 346, 0, -288, 45, 0, -100, 0, 0, -30, -152, 0, 0, -168, 0, 138, 12, 0, 1, -184, 0, -188, 0, 0, 105, 312, 0, 0, -204, 0, -8, 12, 0, -252, 8, 0, 68, 0, 0, -168, -146, 0, 0, -550, 0, -40, 213, 0, -198, -20, 0, -98, 0, 0, 316, 433, 0, 0, 168, 0, 47, -304, 0, 238, -90, 0, -200, 0, 0, 292, -144, 0, 0, -8, 0, -22, 348, 0, -394, 232, 0, 28, 0, 0, -7, 640, 0, 0], 'weight': 2, 'weight_parity': 1}