Query:
/api/mf_hecke_nf/?_offset=0
{'an': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, -1, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -1, -1, -1, -1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 1, -1, 0, 0, 1, -1], [0, 0, 0, 0, 0, 0, 0, 0], [0, -3, -2, -2, 0, -2, -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], [1, 0, 8, 0, -7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [2, 5, 2, 0, 1, -2, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0], [-4, -3, -9, 3, 8, -3, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0], [-1, -12, -3, -3, 1, -3, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 3, 0, 15, 7, -3, -3], [0, 0, 0, 0, 0, 0, 0, 0], [-9, -7, -9, 0, 1, 1, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0], [5, -8, 9, 5, 0, 0, 1, -1], [0, 0, 0, 0, 0, 0, 0, 0], [-27, -8, 8, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-17, 2, 6, -2, -25, 2, 0, -4], [0, 0, 0, 0, 0, 0, 0, 0], [24, 5, -4, -4, -24, -4, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0], [8, -1, 2, 0, 0, 0, 1, -1], [0, 0, 0, 0, 0, 0, 0, 0], [0, -13, 4, 4, 0, 4, 2, 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], [6, -2, 23, 2, -15, -2, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0], [18, 12, 18, 0, 9, -3, -6, -6], [0, 0, 0, 0, 0, 0, 0, 0], [9, 1, -8, -1, 16, 1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0], [-9, -44, 4, 4, 9, 4, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-20, -16, -20, 0, 38, -9, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0], [-21, -26, -21, 0, 31, 5, -5, -5], [0, 0, 0, 0, 0, 0, 0, 0], [-7, -24, 28, -11, 0, 0, 4, -4], [0, 0, 0, 0, 0, 0, 0, 0], [-30, -23, 26, 0, 0, 0, 3, -3], [0, 0, 0, 0, 0, 0, 0, 0], [-46, -4, -2, 4, -40, -4, 0, 13], [0, 0, 0, 0, 0, 0, 0, 0], [9, -10, 13, 13, -9, 13, -15, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, -16, 7, -2, 0, 0, -9, 9], [0, 0, 0, 0, 0, 0, 0, 0], [8, -14, -6, -6, -8, -6, 6, 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], [25, 10, 54, -10, -39, 10, 0, -13], [0, 0, 0, 0, 0, 0, 0, 0], [52, 52, 52, 0, -7, 21, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-16, 13, -21, -13, -8, 13, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0], [15, -14, 10, 10, -15, 10, -19, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-32, -25, -32, 0, 39, -17, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [-36, -33, -36, 0, 9, -17, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0], [16, -16, 0, 2, 0, 0, -16, 16], [0, 0, 0, 0, 0, 0, 0, 0], [-63, 0, -6, 0, 0, 0, -6, 6], [0, 0, 0, 0, 0, 0, 0, 0], [-39, 3, 23, -3, -65, 3, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0], [57, 22, 4, 4, -57, 4, -5, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-6, 8, -2, 21, 0, 0, 6, -6], [0, 0, 0, 0, 0, 0, 0, 0], [24, -6, 19, 19, -24, 19, -13, 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], [11, -17, 19, 17, 9, -17, 0, -4], [0, 0, 0, 0, 0, 0, 0, 0], [-27, -31, -27, 0, 56, -6, -4, -4], [0, 0, 0, 0, 0, 0, 0, 0], [22, -3, 17, 3, 8, -3, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0], [-32, -50, -10, -10, 32, -10, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0]], 'ap': [[0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -1, 0, 0, 0, 0], [0, 0, 1, 0, -1, 0, 0, -1], [1, 0, -1, -1, -1, -1, 1, 0], [0, -3, -2, -2, 0, -2, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [2, 5, 2, 0, 1, -2, 3, 3], [-4, -3, -9, 3, 8, -3, 0, -1], [3, 0, 3, 0, 15, 7, -3, -3], [-27, -8, 8, 2, 0, 0, 0, 0], [-17, 2, 6, -2, -25, 2, 0, -4], [0, -13, 4, 4, 0, 4, 2, 0], [6, -2, 23, 2, -15, -2, 0, 6], [18, 12, 18, 0, 9, -3, -6, -6], [-9, -44, 4, 4, 9, 4, 4, 0], [-7, -24, 28, -11, 0, 0, 4, -4], [9, -10, 13, 13, -9, 13, -15, 0], [0, -16, 7, -2, 0, 0, -9, 9], [25, 10, 54, -10, -39, 10, 0, -13], [-16, 13, -21, -13, -8, 13, 0, 3], [15, -14, 10, 10, -15, 10, -19, 0], [16, -16, 0, 2, 0, 0, -16, 16], [-39, 3, 23, -3, -65, 3, 0, 4], [24, -6, 19, 19, -24, 19, -13, 0], [22, -3, 17, 3, 8, -3, 0, 5], [20, 19, 20, 0, 15, 2, -1, -1], [-19, -20, -19, 0, 48, -12, -1, -1], [34, -16, 12, -7, 0, 0, -4, 4], [9, -14, 8, 14, 15, -14, 0, -14], [6, -40, 43, -12, 0, 0, 3, -3], [5, -8, 5, 0, -1, 31, -13, -13], [-15, 8, 1, 26, 0, 0, 9, -9], [41, -18, -3, -3, -41, -3, 22, 0], [7, 72, -83, -19, 0, 0, -11, 11], [-37, -36, 63, 36, -64, -36, 0, 22], [-9, 14, -2, -2, 9, -2, -4, 0], [0, 48, -29, 5, 0, 0, 19, -19], [-119, 18, -23, -23, 119, -23, -3, 0], [16, 5, 6, 6, -16, 6, 3, 0], [-22, -42, -22, 0, -31, 15, -20, -20], [98, 82, 98, 0, -129, 9, -16, -16], [63, 75, 63, 0, -192, -37, 12, 12], [-50, 8, 0, -31, 0, 0, 8, -8], [-80, 15, 16, 16, 80, 16, -22, 0], [79, 28, -94, -28, 145, 28, 0, -31], [-89, -78, -89, 0, 33, -5, 11, 11], [110, 0, -32, 33, 0, 0, -32, 32], [-137, 2, -52, -2, -87, 2, 0, 5], [-214, 13, -59, -13, -168, 13, 0, 17], [119, 222, -26, -26, -119, -26, 46, 0], [66, 38, 66, 0, -16, -26, -28, -28], [5, -51, 25, 51, 31, -51, 0, 36], [25, 58, 41, 41, -25, 41, -50, 0], [-133, -136, -133, 0, 73, 33, -3, -3], [59, 41, 59, 0, 79, -40, -18, -18], [59, -96, 61, 81, 0, 0, -35, 35], [-97, -120, 79, 63, 0, 0, -41, 41], [32, 29, 46, 46, -32, 46, 9, 0], [92, 49, 92, 0, 9, 58, -43, -43], [87, 55, 47, 47, -87, 47, -45, 0], [0, 4, 0, 0, -145, -37, 4, 4], [-15, -216, -33, -33, 15, -33, -48, 0], [-209, -60, 44, 44, 209, 44, 2, 0], [-43, -64, -43, 0, 304, -24, -21, -21], [4, -48, 62, 60, 0, 0, 14, -14], [-32, -29, 54, 29, -57, -29, 0, 13], [-32, -44, -196, 44, 208, -44, 0, -15], [-12, -31, -12, 0, -120, 49, -19, -19], [284, -48, 34, -35, 0, 0, -14, 14], [-168, -96, -39, -39, 168, -39, 7, 0], [116, 51, 56, -51, 9, 51, 0, 26], [191, -161, 15, 15, -191, 15, 54, 0], [16, -104, 104, -9, 0, 0, 0, 0], [107, 104, -28, -96, 0, 0, 76, -76], [111, -72, 190, 72, -7, -72, 0, 25], [-104, -8, 80, 8, -176, -8, 0, -55], [-17, 31, -17, 0, 80, 79, 48, 48], [201, 171, -70, -70, -201, -70, 47, 0], [232, -72, -23, -23, -232, -23, 10, 0], [63, -42, -247, 42, 352, -42, 0, 62], [-162, 32, -26, -105, 0, 0, 6, -6], [-82, 5, -46, -5, -41, 5, 0, -29], [-203, -27, 31, 27, -207, -27, 0, -11], [81, 129, 81, 0, 193, 18, 48, 48], [-128, -164, -128, 0, -1, -21, -36, -36], [-262, -208, 158, 94, 0, 0, -50, 50], [225, -65, 54, 54, -225, 54, 47, 0], [-166, -74, 163, 74, -255, -74, 0, 34], [-201, 16, -41, -16, -176, 16, 0, -14], [79, -119, 25, 25, -79, 25, -4, 0], [-328, -364, -328, 0, 328, -20, -36, -36], [136, -152, -23, -23, -136, -23, -69, 0], [190, 68, 250, -68, -128, 68, 0, -101], [172, 220, 172, 0, 95, -29, 48, 48], [-173, -92, 56, 92, -137, -92, 0, 148], [103, -80, 151, -97, 0, 0, 71, -71], [194, -49, 202, 49, 41, -49, 0, -92], [-129, -120, 162, -115, 0, 0, 42, -42], [-243, 8, 23, 41, 0, 0, 31, -31], [-121, -112, 80, 80, 121, 80, -17, 0], [-195, 152, -189, 64, 0, 0, -37, 37], [56, -182, 75, 75, -56, 75, 84, 0], [36, -36, 36, 0, 105, 125, -72, -72], [182, 256, 182, 0, -441, -137, 74, 74], [-42, -80, -42, 0, -216, 104, -38, -38], [-372, 39, -434, -39, 23, 39, 0, 1], [-157, -33, -653, 33, 529, -33, 0, 27], [-209, -406, -46, -46, 209, -46, -71, 0], [-241, -408, 397, -16, 0, 0, -11, 11], [-114, -8, -55, 90, 0, 0, -63, 63], [-106, -232, 180, 61, 0, 0, -52, 52], [-128, -10, -119, 10, 1, -10, 0, 28], [-277, 11, 104, -11, -392, 11, 0, -60], [247, 319, -73, -73, -247, -73, 108, 0], [113, 22, -107, -107, -113, -107, -69, 0], [-176, -235, -176, 0, -63, -2, -59, -59], [408, 82, -154, -82, 480, 82, 0, -107], [-127, -146, -127, 0, 591, 21, -19, -19], [287, -264, 187, 51, 0, 0, -77, 77], [225, 120, -51, 3, 0, 0, 69, -69], [-48, 347, 28, 28, 48, 28, -100, 0], [-42, 29, -42, 0, -193, 68, 71, 71], [-126, 384, -330, -114, 0, 0, 54, -54], [-367, -361, -18, -18, 367, -18, 95, 0], [473, 55, 1, -55, 417, 55, 0, -59], [60, 14, 60, 0, 248, -58, -46, -46], [-359, -3, -12, -12, 359, -12, 76, 0], [-360, -244, -360, 0, 401, -67, 116, 116], [208, 256, 208, 0, -240, -48, 48, 48], [420, 72, 125, -72, 223, 72, 0, -213], [-16, 497, -30, -30, 16, -30, -21, 0], [-181, -7, -127, 7, -47, -7, 0, -9], [274, 288, 274, 0, -593, 159, 14, 14], [647, 136, -123, -123, 0, 0, 13, -13], [-319, -55, -112, -112, 319, -112, 123, 0], [-317, -24, -550, 24, 257, -24, 0, 5], [60, 129, 35, -129, -104, 129, 0, -65], [81, 433, -104, -104, -81, -104, 57, 0], [-502, -412, -502, 0, 145, -19, 90, 90], [292, -168, 311, -14, 0, 0, 143, -143], [-1, -142, 118, 142, 23, -142, 0, 68], [31, -44, 42, 44, 33, -44, 0, 145], [148, 52, 148, 0, -79, -43, -96, -96], [-473, 279, 63, 63, 473, 63, 110, 0], [-214, -199, -214, 0, -241, -168, 15, 15], [-327, -925, -14, -14, 327, -14, -93, 0], [511, 225, 49, 49, -511, 49, -165, 0], [-49, -115, -49, 0, 472, 133, -66, -66], [-229, 56, -79, -192, 0, 0, -23, 23], [-47, -199, -119, 199, 271, -199, 0, 224], [-341, -33, -156, 33, -152, -33, 0, -92], [75, 83, 75, 0, -1, 194, 8, 8], [49, 12, 49, 0, -456, -116, -37, -37], [131, 32, -217, 275, 0, 0, -185, 185], [-258, -212, -258, 0, 591, -157, 46, 46], [-520, -336, 322, 28, 0, 0, -14, 14], [-614, -8, 34, -329, 0, 0, 26, -26], [237, 122, 115, -122, 0, 122, 0, 24], [526, 48, -25, -141, 0, 0, 23, -23], [43, 204, -144, -204, -17, 204, 0, 68], [-120, 60, 109, 109, 120, 109, 191, 0], [236, 146, 236, 0, -359, 235, -90, -90], [-347, -22, -492, 22, 167, -22, 0, 22], [88, -160, 114, 337, 0, 0, -46, 46], [16, 84, -5, -84, -63, 84, 0, -200], [535, 122, 42, 42, -535, 42, -168, 0], [12, -152, 208, -77, 0, 0, 56, -56], [22, -208, 97, 306, 0, 0, -111, 111]], 'char_orbit_index': 7, 'field_poly': [9409, 0, -3674, 0, 555, 0, -38, 0, 1], 'hecke_orbit_code': 9007611621933732, 'hecke_ring_character_values': [[339, [1, 0, 0, 0, 0, 0, 0, 0]], [509, [0, 0, 0, 0, 1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 5044, 5044, 5044, 2522, 5044, 5044, 5044], 'hecke_ring_inverse_denominators': [1, 2, 2, 1, 2, 2, 1, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, -1, -2, 1, 0, 0, 0], [20, -1, 3, 0, -1, 2, 0, 0], [2, 7, -3, -10, 13, 0, 1, -1], [190, -17, 59, 0, -21, 42, -4, -4], [112, 203, 21, -182, 371, 0, 34, -34], [847, -81, 407, 0, -163, 326, -56, -56], [2036, 2745, 1327, -1418, 4409, 0, 376, -376]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [-80801, 11325, 25414, -2565, -2716, 173, 97, -2], [75757, 11325, -25414, -2565, 2716, 173, -97, -2], [-78279, -17522, 25414, 3389, -2716, -321, 97, 11], [0, -12478, 0, 3389, 0, -321, 0, 11], [-204476, -23803, 55872, 5954, -5432, -494, 194, 13], [-223294, 51954, 51895, -19460, -3977, 2222, 97, -84], [-223294, -51954, 51895, 19460, -3977, -2222, 97, 84]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'id': 47958, 'label': '676.3.g.c', 'level': 676, 'maxp': 997, 'weight': 3}