# Stored data for newform 2695.2.a.y, downloaded from the LMFDB on 25 April 2024.
{"label": "2695.2.a.y", "space_label": "2695.2.a", "level": 2695, "weight": 2, "hecke_orbit": 25, "hecke_orbit_code": 108086391090449031, "dim": 10, "is_polredabs": true, "trace_hash": 1062844141703646603, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [21, -109, -59, 297, -45, -184, 51, 41, -13, -3, 1]], [3, [-112, 368, 148, -768, -281, 357, 128, -58, -20, 3, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+\\beta _{5}q^{3}+(2+\\beta _{2})q^{4}-q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 10780, "fricke_eigenval": -1, "atkin_lehner_string": "++-", "analytic_conductor": 21.519683344735064, "hecke_ring_index": 1, "level_radical": 385, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.005", "prec": 17}, "analytic_rank_proved": true, "char_values": [2695, 1, [2157, 1816, 981], [1, 1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [5, 7, 11], "conrey_indexes": [1], "field_disc": 2402554656575458944, "field_disc_factorization": [[2, 7], [3, 6], [13, 1], [1980580168249, 1]], "field_poly": [21, -109, -59, 297, -45, -184, 51, 41, -13, -3, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.194", "prec": 17}, {"__RealLiteral__": 0, "data": "8.722", "prec": 17}, {"__RealLiteral__": 0, "data": "6.152", "prec": 17}, {"__RealLiteral__": 0, "data": "237.246", "prec": 24}, {"__RealLiteral__": 0, "data": "297.545", "prec": 24}, {"__RealLiteral__": 0, "data": "10997.561", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 10, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[5, 1], [7, 1], [11, -1]], "trace_display": [3, -3, -10, 0], "traces": [0, 10, 3, -3, 15, -10, 5, 0, 9, 19, -3, 10, -3, -6, 0, 3, 21, -5, 1, 1, -15, 0, 3, 18, 10, 10, 13, -15, 0, 14, -5, 10, 46, -3, -2, 0, 26, 13, 9, 3, -9, -7, 0, 6, 15, -19, 10, 1, -35, 0, 3, 9, -17, 16, 73, -10, 0, 12, -9, 13, 3, 18, 14, 0, 43, 6, 5, 29, 13, 0, 0, 19, -48, -31, -8, -3, -8, 0, 3, 0, -21, 42, 1, -2, 0, 5, 10, -50, 9, 23, -1, 0, 14, 4, -5, -1, 39, -43, 0, 19, 15, 8, 77, -16, -1, 0, -10, 7, -15, 5, -3, 58, 0, 50, -62, -18, 68, 9, -59, 0, -10, 10, -24, -20, 144, -10, 0, -29, 95, -5, -13, 29, -3, 0, 56, 15, -7, 44, 107, 39, 0, 22, -43, -6, 88, -14, 4, 0, 82, -3, 5, 3, 10, -8, 0, -10, -25, -75, -55, 15, -46, 0, -74, 4, 10, 3, 70, 72, 0, 10, 2, -21, 29, -11, -86, 0, 21, 21, 1, 47, -26, 24, 0, -69, -111, -13, 117, -5, -4, 0, -9, 24, 27, -8, -82, -3, 0, 14, 1, -37, 9, 78, 1, 0, -13, 7, 1, 71, 45, 1, 0, -60, 81, -9, -12, -6, 127, 0, 77, 4, -15, 83, 103, -33, 0, 19, -129, -4, -176, 24, -10, 0, -20, 79, -5, -1, 1, -72, 0, -20, 35, 6, 3, -83, -37, 0, -75, 7, 91, 18, -3, 51, 0, 18, 24, -9, 69, -30, -191, 0, 17, -29, 41, -20, 10, -16, 0, -39, -56, 47, -73, 29, -9, 0, 57, 10, -33, -8, -54, 91, 0, 51, 9, 6, -75, -12, 13, 0, 43, 1, 9, -15, -60, 24, 0, -13, -41, -15, 34, -42, -3, 0, -49, 1, -62, -18, -19, 36, 0, 27, -14, -49, -106, -27, -78, 0, -60, 10, 79, 14, -43, 104, 0, -4, -104, -6, 16, 13, -173, 0, -5, 58, 220, 11, 28, -29, 0, 20, 14, -50, -13, 10, 90, 0, 71, 0, 89, -16, -247, 10, 0, -47, 46, -44, -43, -19, 81, 0, 30, 84, 48, 67, 19, -3, 0, 31, -38, 10, -131, 24, 8, 0, -85, -39, -2, 3, 23, 6, 0, -40, 8, 35, -136, -14, -137, 0, 38, -84, -53, 72, -3, 81, 0, 12, -94, 0, 26, -79, -147, 0, 21, 38, 68, -96, -149, -42, 0, 13, 177, 55, -1, 5, -43, 0, -24, 2, 140, 70, 9, 85, 0, 12, 18, -74, -67, -5, -44, 0, 112, 3, -10, -6, -10, 13, 0, 50, -19, -1, -191, 6, -9, 0, -84, 146, -106, -23, 3, 232, 0, 78, 1, -7, 50, -174, 60, 0, -301, -8, 44, -80, -14, 19, 0, -23, 65, -4, -29, 66, -190, 0, 5, -35, -1, 6, -43, 1, 0, 114, -205, 113, -39, 15, 99, 0, 15, 43, 32, 91, -166, 59, 0, -45, -217, -61, -43, -19, 295, 0, 11, 54, -15, -79, 67, 18, 0, -8, 10, -82, -135, -18, -77, 0, 85, 249, -65, 16, 222, 1, 0, -235, 1, 50, -261, 3, -46, 0, -39, -53, -35, 60, 10, 109, 0, 3, -295, -7, 30, 46, -226, 0, 15, -14, 100, -69, 15, -5, 0, -63, 117, 61, 3, -5, 300, 0, -172, -58, 12, 37, -148, 16, 0, 9, 105, -31, 33, -50, 110, 0, -64, 150, 62, -26, -17, 29, 0, 18, -93, 20, -200, -138, -68, 0, -88, 16, -87, -9, 42, -55, 0, -77, 59, -34, 54, -5, 73, 0, 24, -35, -180, -55, 10, 115, 0, -42, -144, -10, 78, 0, 17, 0, 24, -95, 121, -73, -102, 20, 0, 183, -84, -35, -144, -44, -90, 0, -199, 10, 160, 12, -87, 34, 0, -102, -247, 167, -48, 29, 50, 0, -9, 174, -95, 77, 107, -28, 0, 5, -229, -85, -311, 13, 13, 0, -205, 85, -144, -29, -177, -119, 0, 2, 3, 127, 29, -13, 137, 0, -157, -37, 253, -61, -56, 18, 0, -31, -23, -15, -106, -50, -17, 0, 7, -109, 14, 41, -157, -44, 0, -88, -104, 20, -107, 85, 65, 0, -53, -39, -172, -31, -79, 5, 0, 108, -41, -43, 43, -22, 62, 0, -142, -21, 43, 116, 187, 0, 0, 6, 128, -54, -59, -42, -88, 0, 175, 22, 115, 14, 5, 119, 0, 106, -4, 28, -199, -128, -111, 0, -222, 29, -174, -94, -82, 206, 0, 13, 244, 3, -45, 19, 13, 0, -5, 10, 1, 6, 191, -3, 0, -72, -2, 0, -10, 45, 90, 0, -105, 8, -65, 23, -160, 15, 0, -55, 56, 98, 138, 10, -246, 0, -87, 42, 25, 19, -80, -83, 0, 75, -209, -53, 46, -51, 55, 0, -48, 194, -77, -15, 37, -51, 0, -91, 46, -33, -19, -31, 219, 0, 76, -34, -152, 89, 74, 17, 0, -171, -8, -4, 108, -94, -32, 0, -10, 90, 227, -2, -18, -3, 0, -12, 320, 101, -70, -73, 219, 0, 32, -72, -8, 24, -151, 112, 0, 26, -29, -28, -5, -10, -8, 0, 124, 205, -2, 70, 191, -113, 0, 21, 107, 56, 3, -67, -29, 0, 11, -118, 79, 11, -17, 83, 0, 0, 86, 15, 60, -165, -102, 0, 220, -56, 124, -82, -21, 37, 0, -22, -33, -21, -16, 100, 79, 0, -1, 42, -149, -36, -129, -47, 0, 226, 119, 69, 26, -42, 1, 0, -5, -24, -61, 127, -39, 138, 0, 43, -171, -2, 235, 69, 50, 0, 29, -22, 111, 65, 88, -121, 0, 13, 76, -278, 176, -35, -117, 0, 189, -18, 148, 5, -28, 158, 0, -62, 4, 102, 245, 127, 36, 0, 10, 81, -334, -73, 9, -10, 0, 153, -220, -24, -120, -50, 136, 0, -27, 118, 178, -133, -24, 8, 0, -118, 9, 23, 82, -45, -124, 0, 20, 3, -151, 148, -52, 23, 0, -198, 180, -7, -79, -14, -34, 0, 174, -27, -1, 67, 250, 45, 0, 37, -409, -101, -103, 44, -9, 0, 112, -90, 74, -78, 309, -260, 0, 59, -1, -174, 14, -74, -234, 0, -44, -2, -8, 52, 13, -3, 0, 4, 78, -7, 136, -40, -359, 0, -1, -107, 28, -149, -5, -71, 0, 155, -138, 80, -45, 132, 61, 0, 111, -1, -88, 50, 97, 5, 0, -22, 131, 258, 138, 60, 39, 0, 254, 116, -81, -49, 32, 7, 0, 9, -37, -43, 238, -96, 12, 0, -79, 130, -347, 6, -14, -213, 0, 2, -127, -27, -58, 250, 131, 0, 186, -78, 64, 19, -77, -16, 0, 106, -104, -4, 211, 41, -176, 0, 15, 147, 301, -32, 334, -83, 0, -37, -17, 127, -103, 8, 2, 0, 27, 33, 566, -172, -110, -133, 0, 233, 77, -30, 56, -19, 99, 0, -31, 77, 129, -2, -29, -16, 0, 4, -113, 45, 128, 29, 176, 0, 81, -111, -1, -24, 42, 194, 0, -36, 10, -84, 62, 100, -321, 0, -65, -5, 41, 47, 20, -220, 0, -52, -54, -79, -10, -69, -352, 0, 5, 40, 152, 40, 209, 1, 0, 7, 106, -220, -1, -20, 192, 0, 211, 72, 124, 51, -15, 216, 0, -178, 231, -43, 203, 20, -296, 0, 91, 5, -35, -138, -7, 45, 0, -6, 287, -201, -151, -12, -3, 0, 56, -64, 32, 83, 207, -7, 0, 17, 37, 58, 83, 146, 26, 0, -29, -253, -185, 75, 75, 21, 0, 205, 192, -7, 204, -238, -100, 0, -91, -32, 166, 50, -128, -18, 0, 70, -391, 190, 3, 82, 92, 0, -62, -51, 17, 64, 125, -153, 0, -33, -60, -48, -320, -18, 198, 0, -92, 149, -24, -3, 234, 12, 0, 9, 68, 26, 182, 116, -69, 0, -275, 48, -248, 30, 84, 9, 0, 51, 191, 111, -119, -60, -119, 0, 15, -99, -59, 105, -17, -111, 0, 133, -200, 29, 264, 31, -167, 0, -41, 18, -151, 210, 127, 20, 0, 74, -40, -62, -10, 114, 127, 0, 239, 16, -211, 203, 273, 39, 0, 10, 396, -179, -252, 39, 168, 0, 66, -150, 56, -211, -24, 2, 0, -47, -17, -51, -40, 34, 73, 0, 14, -20, -189, -29, -298, -204, 0, 8, 9, 66, 23, 18, 144, 0, 209, -97, -316, -21, -57, 7, 0, -29, -56, -10, 130, 165, 222, 0, 33, -7, 17, -152, 218, 8, 0, -97, -102, 172, 54, 123, -509, 0, -51, -91, 82, -29, 328, -65, 0, 288, 171, 115, 339, -51, 25, 0, 95, 172, -9, 81, -226, -104, 0, -6, -363, -193, -22, -5, 75, 0, -125, -16, 44, 12, -165, -78, 0, -72, -13, -274, 277, -30, 124, 0, -61, 34, -164, -91, -43, 29, 0, 14, 26, -1, -100, -58, 92, 0, -9, -79, -3, -114, -120, 15, 0, 89, -119, -31, 60, -17, 56, 0, -82, -24, -114, -7, 43, -66, 0, -105, -226, 85, 56, 13, 53, 0, -76, -163, 41, 273, 170, 16, 0, 15, 206, -65, 26, 99, -34, 0, -11, 118, -112, 42, -7, -154, 0, -77, 3, 264, -287, 173, -55, 0, 56, 44, 104, -34, 49, -142, 0, -60, 152, -1, 35, 101, 107, 0, 62, -144, -152, 92, 342, 18, 0, -309, -282, 39, 19, -11, 214, 0, 219, -36, -615, 178, -247, -89, 0, 154, 289, 52, 187, -27, -197, 0, -299, 59, 14, 22, -352, -88, 0, 49, 153, 72, 334, 55, 106, 0, -43, 194, 234, 27, 364, -150, 0, 98, 78, 6, 187, -6, 25, 0, -68, 227, -480, -182, 60, -110, 0, 78, 88, -10, 26, -203, -32, 0, -79, -131, -99, 61, 113, -14, 0, -19, 171, 128, 43, -25, 178, 0, -79, -104, 4, 102, -55, -98, 0, -101, -42, 26, 267, 4, -48, 0, 27, -79, 104, -19, 130, 286, 0, 6, 162, -173, 82, -18, -16, 0, 11, -64, -154, -13, 191, -131, 0, -3, 173, 250, 57, 235, 45, 0, 160, -342, -236, -10, 5, 41, 0, -123, -384, -58, -101, 17, -70, 0, -220, 3, -182, -24, 15, -11, 0, 137, 525, 138, -28, 106, 10, 0, 470, 29, -86, -257, 69, 74, 0, 47, 199, -8, -38, -20, -70, 0, 86, 20, -14, -61, 129, -21, 0, 50, 234, -40, 111, 160, 13, 0, -71, -191, -39, -10, -309, -41, 0, 56, -90, -1, 148, 226, -168, 0, -25, 26, -25, -35, -71, -80, 0, -106, -80, 0, -128, -75, 535, 0, -89, 62, 153, 267, -186, 16, 0, 109, -55, 71, 247, -101, -28, 0, -129, -10, -349, 194, -326, 15, 0, -70, 91, 198, 89, 47, -126, 0, -43, 3, -46, 184, -272, 115, 0, 44, -224, -294, -23, 157, 43, 0, 179, -118, -181, 19, -68, -243, 0, -86, -81, 14, -74, -3, -238, 0, -4, -73, 364, -66, -30, -25, 0, 4, 175, -84, 55, -186, -362, 0, -48, -89, 332, -133, 10, -67, 0, -257, 8, 254, -19, -8, -151, 0, 132, 3, -11, 179, 33, 190, 0, 259, 249, 295, -196, -31, 70, 0, 445, 10, 38, -80, -4, 88, 0, -10, -147, 72, 265, 123, 131, 0, -3, -213, 104, -24, -9, 19, 0, 194, -8, -258, -248, -185, -7, 0, 211, -311, 125, 10, 85, 69, 0, 154, 80, 39, 189, -65, 104, 0, 2, -10, 58, -35, -109, -3, 0, 113, 208, -122, -23, -21, 106, 0, 141, -6, 137, -234, 243, 64, 0, -321, 29, 136, -207, 40, -64, 0, -284, -23, -8, -273, -25, -11, 0, -35, -4, -20, 303, 78, 136, 0, -238, -19, -86, 14, 226, -97, 0, -24, 137, -46, -112, 35, -46, 0, -87, -75, 158, 145, -38, -274, 0, -29, 158, 84, 21, 113, -252, 0, 53, 182, -223, -163, -117, -72, 0, 21, -99, 127, 3, -49, -16, 0, 470, -81, 147, -212, 1, 131, 0, 287, 160, -85, -185, -12, -34, 0, -103, 47, 94, -94, -317, -79, 0, 0, 258, -155, 314, -35, -26, 0, -100, -17, 226, 79, 293, -50, 0, -176, 147, 24, -48, -47, 214, 0, 254, 36, 394, -237, -21, -261, 0, 160, -13, -38, -101, 46, 432, 0, -68, -61, 302, -69, 26, 96, 0, 168, -232, 259, 149, -129, 378, 0, -111, 42, 272, -110, 82, 22, 0, -170, -108, 173, -249, -13, -121, 0, 5, 172, -177, -143, -197, 358, 0, -55, 117, -194, 151, 91, 1, 0, 50, 111, -193, -5, -459, -5, 0, -152, 43, 320, 146, 259, 170, 0, 61, -267, -4, 145, 24, 250, 0, -141, -340, -2, -257, -160, 123, 0, -140, 110, 224, -37, 38, -70, 0, 34, -322, 100, -9, -219, -22, 0, -287, -85, -261, 310, 170, -110, 0, 24, 352, -297, 98, -12, 162, 0, 96, -42, -18, 59, 27, -13, 0, 74, 435, 10, -111, 2, 67, 0, -275, -8, -248, 5, -356, -390, 0, 210, 44, -53, -222, -79, -82, 0, -105, -218, -282, -100, -112, 85, 0, 77, -1, -3, -233, 178, 356, 0, 10, -69, -425, 56, -451, 6, 0, 219, -90, 54, 10, 72, 81, 0, -198, -13, 201, 14, 144, 55, 0, -68, 128, 165, 32, -50, -247, 0, 1, -3, 19, -365, -58, -2, 0, 1, -43, -259, -148, -37, 191, 0, 243, 62, 250, -6, -225, -258, 0, -177, 9, -50, 133, 9, 397, 0, -175, -147, 664, -295, 84, 78, 0, -230, 218, -146, -362, -9, 533, 0, 106, -209, 1, 5, -225, 23, 0, -129, 12, 194, -3, 19, -143, 0, -30, -232, -261, -106, -207, 125, 0, 298, 392, 13, -13, -78, -24, 0, -30, 129, -1, -62, 30, 86, 0, 7, 111, -19, 51, 101, -50, 0, 92, -186, 269, 174, 1, -229, 0, -137, -60, 186, -183, 112, -156, 0, 329, 71, 115, 64, 301, 14, 0, -194, 38, 8, 103, -145, 45, 0, -44, 41, 59, 56, -205, 80, 0, 66, 128, 1, 14, -67, -146, 0, -294, -19, -165, -367, 164, -40, 0, -114, 48, 317, -27, 23, 223, 0, 56, -144, -65, -60, -255, -14, 0, 4, 354, 57, 137, 277, 29, 0, 81, 140, -87, -66, -383, -15, 0, -235, 190, 122, -79, -9, 303, 0, 192, -87, -438, -37, -5, -328, 0, -202, -12, 35, -430, 203, 334, 0, 1, -177, -96, -95, -312, -6, 0, -286, 206, 68, 43, -46, 62, 0, 317, -1, 127, 30, 79, -41, 0, -221, -73, 32, -28, -114, -2, 0, -218, 20, 205, 15, -327, 93, 0, -113, 72, 5, 77, -30, 39, 0, -333, -323, -11, -15, -218, 185, 0, 4, -99, -297, -142, -263, 149, 0, -107, -156, -257, -97, -15, 155, 0, -312, -214, -43, -117, -256, -5, 0, -32, 83, 98, 67, -128, -91, 0, 116, 30, 295, 166, 254, 103, 0, 106, -59, -118, -49, 362, -165, 0, -425, -151, -33, 257, 45, -349, 0, 282, -31, 217, -50, 161, 159, 0, 61, 329, -173, 276, -133, 43, 0, 110, -73, -85, 19, -153, 147, 0, 61, -295, 86, 137, 130, -595, 0, -129, -165, -155, 106, -11, 23, 0, -227, 125, -54, -119, -4, 623, 0, 15, 212, 315, -142, 26, 79, 0, 112, -176, 190, -67, -248, -3, 0, -184, -18, -12, -491, 110, 24, 0, -58, 56, 96, -54, 8, -426, 0, -466, 27, -10, -17, 319, 38, 0, 82, -511, -164, -80, 186, 135, 0, -551, -413, -116, 18, -309, -220, 0, 56, 77, -64, -20, -5, 19, 0, -312, 74, -49, -400, -85, -118, 0, 79, 149, -249, -12, -163, -179, 0, 65, -60, 73, 376, -5, -16, 0, 255, -389, -165, -222, 125, 25, 0, -86, -1, -425, -175, -262, 224, 0, 106, -138, -31, -335, 235, 1, 0, 420, -133, -1, -393, -294, 227, 0, -50, 80, -72, -305, -114, 261, 0, -167, 140, -203, -3, -437, -137, 0, -262, 46, 101, -327, 193, -237, 0, 173, -214, -256, -20, 39, 14, 0, 22, -112, 53, -171, -357, -88, 0, 35, -156, 408, -261, 619, -60, 0, -536, 361, 8, -10, 6, 135, 0, -60, -109, 444, 349, -122, 113, 0, -245, 3, 19, -171, -3, 308, 0, -461, 145, 295, 17, 471, -83, 0, 7, 247, 218, -43, -179, -30, 0, 521, -144, -37, -46, -410, -203, 0, 106, 226, -243, 153, -229, 31, 0, -156, -469, 200, -21, -15, -173, 0, -294, -198, 14, -75, 3, 114, 0, -100, 122, -190, -103, -422, 69, 0, 7, -266, 103, -15, 20, -48, 0, 102, 5, -61, -115, 91, -103, 0, -11, 225, -257, -210, 63, -580, 0, -128, 18, -117, -214, 262, -66, 0, -61, 14, -186, 208, -115, -3, 0, -144, 201, -332, 5, -293, 21, 0, -142, -300, 51, -316, 178, -25, 0, -297, 42, 465, -57, 172, -213, 0, -49, -81, 58, -314, -23, 247, 0, -12, 97, 256, 18, -508, -37, 0, 249, -371, -28, 148, -56, 313, 0, 24, -16, 271, -32, 16, 115, 0, 251, 80, 40, 303, -9, -191, 0, -23, 36, -105, -23, -380, 254, 0, 31, 69, 348, 302, -154, -33, 0, -272, -154, -193, 50, -93, -30, 0, -458, -110, 123, -657, -4, -125, 0, 420, -113, -191, 1, 64, -331, 0, 102, -23, -150, -57, -36, 405, 0, -62, -50, 176, 53, -139, 26, 0, 112, 79, -391, 17, 46, 309, 0, -10, -29, -232, -236, -13, -66, 0, -29, 225, -392, 357, -18, 107, 0, -239, -92, 93, -108, 41, -85, 0, -20, -99, 10, 59, 296, 200, 0, 249, -20, -216, 138, 174, -27, 0, -153, 68, 94, 139, 132, 10, 0, -155, -202, 43, -205, 88, -102, 0, -224, -53, -16, 4, -162, -2, 0, 87, 47, 348, -146, -340, 9, 0, 54, -542, -93, -42, -124, -329, 0, 178, 55, -275, -39, 353, 59, 0, 55, -170, 651, -318, 77, -272, 0, -56, 13, -59, 8, -237, -172, 0, 34, -149, -184, 312, 47, -54, 0, 236, -48, 20, 5, -366, -101, 0, -46, -73, -45, -82, -163, -39, 0, 172, -216, 714, -5, -24, 29, 0, -156, -37, 35, -44, 87, 508, 0, 180, 198, -9, 315, 154, 55, 0, -42, -168, -194, -10], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "385.2.i.d", "char_is_minimal": true, "conrey_index": 1, "id": null, "nf_label": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [2, 0, 1, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -1, 1, 0, -1, 0, 0, 1, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 1, 1, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, -1, 0], [0, -1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, -1, 1, 0, 2, 0, -1, 0, -1], [-1, 0, 0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, -1, 0, 0, 0, 0], [2, 1, 2, 1, 0, -1, 0, 1, -1, 0], [0, -1, 1, 0, -1, 0, 1, 0, 0, 0], [0, 2, -1, 1, 0, 2, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [-2, 0, -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], [2, 0, 0, -1, -1, 0, 0, 0, 0, 0], [3, -2, 2, 0, -2, 0, 0, 0, -1, -1], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -1, 0, 0, 1, 0, 0, 1, 0, 0], [-2, 2, 0, 0, 0, 1, -1, 1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, -1, 1, -1, 0, 0, 1, 0], [-1, 1, -1, 0, 1, 0, 0, -1, 1, 0], [2, 0, 2, 0, 0, 0, -1, 1, -1, 0], [5, 1, 2, 1, 1, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 1, -1, 0, 1, 2, -1, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, -3, 4, -1, -2, -1, -1, 2, -1, 0], [2, -1, 1, -1, 0, 1, 0, 1, 0, 0], [0, 1, -1, -1, 2, -1, -1, 0, 0, 1], [0, 0, 0, -1, -1, -1, -1, 1, 0, 1], [-1, -1, -1, -1, 0, 0, 0, 0, 0, 0], [-1, 1, -1, -2, 1, 0, 0, -1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, -1, 0, 1, 1, 1, -3, 2, -1], [2, 0, 1, 0, 0, 0, 0, 0, 0, 0], [-2, 0, 0, 0, 0, 0, 0, 0, 1, 0], [1, 3, -3, -1, 0, 3, -1, -2, 1, -1], [0, 0, 0, 0, 0, 0, -1, 1, 0, 0], [-2, 2, 0, 0, -2, 3, -1, -1, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 1, -1, -1, 0, 0, 0, 0], [-3, 0, 1, 1, 0, -2, 0, 2, 0, 1], [2, 0, 0, -1, 1, 1, 0, 0, 0, -1], [9, -3, 3, -1, 0, -1, 0, 1, -1, 1], [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -2, -2, 0, 0, 0, 1, 1, -2, 1], [-4, 3, -1, 0, 1, -3, 1, 0, 2, 1], [2, -2, 0, 1, 1, 1, 0, 0, -1, 1], [0, -1, 1, -1, 0, -2, 0, 1, 0, 1], [1, -1, -1, -1, 0, -1, 2, -1, 1, 0], [2, 3, 2, 3, -1, 2, 1, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 1, 0, -1, 1, 2, 0, 1], [1, 0, 0, 0, 0, 0, -1, 0, 0, 0], [1, -1, 1, 0, -1, 0, 0, 1, -1, 0], [2, 1, -1, 0, -1, 1, 0, 1, 0, 0], [2, -2, 2, 1, -3, -1, 0, 2, -2, 0], [-1, 2, 0, 2, 0, 2, 1, 1, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, -2, 1, 1, 1, -1, -1, -1, 0], [-5, 5, -1, 1, 0, 3, 0, -2, 2, -2], [-3, 2, -2, -1, 1, 1, 0, -3, 2, -1], [-2, 2, 0, 1, -1, 1, 1, 1, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [-4, 2, -2, 0, 2, -4, 1, -1, 2, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, -4, -2, 2, 2, -1, -3, 2, 0], [0, -1, -1, -1, 0, -1, 0, -1, 0, 1], [-2, -1, -2, -1, 0, 1, 0, -1, 1, 0], [3, -3, -1, 0, -1, -2, 2, 1, -2, 0], [-2, 1, -3, -1, 0, -2, 0, -1, 2, 1], [1, 1, 3, -1, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, -1, 0, 1, 0, -1, 0, 0, 0], [0, 1, 2, -1, -2, -5, -1, 2, -1, 0], [-6, 0, -4, 0, 2, 1, 0, -2, 2, -1], [1, 1, 1, 1, 0, 0, 0, 0, 0, 0], [3, 1, -1, 1, 2, 1, 1, -4, 2, -1], [0, -2, 1, -1, 0, -2, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -3, 1, -1, -4, 0, -1, 0, -2, -1], [0, 5, -3, 2, 1, 4, 0, -3, 0, -2], [0, -1, 1, 0, -1, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, -1], [7, -1, -1, -1, -2, 5, -2, -1, -1, -1], [-4, -1, -1, -2, 1, 0, 0, -1, 2, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, -1, 0], [2, 0, 1, 0, 0, 0, 0, 0, 0, 0]]}