LMFDB - Database - mf_hecke_lpolys (L-polynomials of Hecke operators acting on Galois orbits of newforms)

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Query: /api/mf_hecke_lpolys/?_offset=0

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Column	Type
hecke_orbit_code	bigint
lpoly	numeric[]
lpoly_factorization	jsonb
p	integer

id: 0
{'hecke_orbit_code': 33554443, 'lpoly': [1, 2, 2], 'lpoly_factorization': [[[1, 2, 2], 1]], 'p': 2}
id: 1
{'hecke_orbit_code': 33554443, 'lpoly': [1, 1, 3], 'lpoly_factorization': [[[1, 1, 3], 1]], 'p': 3}
id: 2
{'hecke_orbit_code': 33554443, 'lpoly': [1, -1, 5], 'lpoly_factorization': [[[1, -1, 5], 1]], 'p': 5}
id: 3
{'hecke_orbit_code': 33554443, 'lpoly': [1, 2, 7], 'lpoly_factorization': [[[1, 2, 7], 1]], 'p': 7}
id: 4
{'hecke_orbit_code': 33554443, 'lpoly': [1, -1], 'lpoly_factorization': [[[1, -1], 1]], 'p': 11}
id: 5
{'hecke_orbit_code': 33554443, 'lpoly': [1, -4, 13], 'lpoly_factorization': [[[1, -4, 13], 1]], 'p': 13}
id: 6
{'hecke_orbit_code': 33554443, 'lpoly': [1, 2, 17], 'lpoly_factorization': [[[1, 2, 17], 1]], 'p': 17}
id: 7
{'hecke_orbit_code': 33554443, 'lpoly': [1, 0, 19], 'lpoly_factorization': [[[1, 0, 19], 1]], 'p': 19}
id: 8
{'hecke_orbit_code': 33554443, 'lpoly': [1, 1, 23], 'lpoly_factorization': [[[1, 1, 23], 1]], 'p': 23}
id: 9
{'hecke_orbit_code': 33554443, 'lpoly': [1, 0, 29], 'lpoly_factorization': [[[1, 0, 29], 1]], 'p': 29}
id: 10
{'hecke_orbit_code': 33554443, 'lpoly': [1, -7, 31], 'lpoly_factorization': [[[1, -7, 31], 1]], 'p': 31}
id: 11
{'hecke_orbit_code': 33554443, 'lpoly': [1, -3, 37], 'lpoly_factorization': [[[1, -3, 37], 1]], 'p': 37}
id: 12
{'hecke_orbit_code': 33554443, 'lpoly': [1, 8, 41], 'lpoly_factorization': [[[1, 8, 41], 1]], 'p': 41}
id: 13
{'hecke_orbit_code': 33554443, 'lpoly': [1, 6, 43], 'lpoly_factorization': [[[1, 6, 43], 1]], 'p': 43}
id: 14
{'hecke_orbit_code': 33554443, 'lpoly': [1, -8, 47], 'lpoly_factorization': [[[1, -8, 47], 1]], 'p': 47}
id: 15
{'hecke_orbit_code': 33554443, 'lpoly': [1, 6, 53], 'lpoly_factorization': [[[1, 6, 53], 1]], 'p': 53}
id: 16
{'hecke_orbit_code': 33554443, 'lpoly': [1, -5, 59], 'lpoly_factorization': [[[1, -5, 59], 1]], 'p': 59}
id: 17
{'hecke_orbit_code': 33554443, 'lpoly': [1, -12, 61], 'lpoly_factorization': [[[1, -12, 61], 1]], 'p': 61}
id: 18
{'hecke_orbit_code': 33554443, 'lpoly': [1, 7, 67], 'lpoly_factorization': [[[1, 7, 67], 1]], 'p': 67}
id: 19
{'hecke_orbit_code': 33554443, 'lpoly': [1, 3, 71], 'lpoly_factorization': [[[1, 3, 71], 1]], 'p': 71}
id: 20
{'hecke_orbit_code': 33554443, 'lpoly': [1, -4, 73], 'lpoly_factorization': [[[1, -4, 73], 1]], 'p': 73}
id: 21
{'hecke_orbit_code': 33554443, 'lpoly': [1, 10, 79], 'lpoly_factorization': [[[1, 10, 79], 1]], 'p': 79}
id: 22
{'hecke_orbit_code': 33554443, 'lpoly': [1, 6, 83], 'lpoly_factorization': [[[1, 6, 83], 1]], 'p': 83}
id: 23
{'hecke_orbit_code': 33554443, 'lpoly': [1, -15, 89], 'lpoly_factorization': [[[1, -15, 89], 1]], 'p': 89}
id: 24
{'hecke_orbit_code': 33554443, 'lpoly': [1, 7, 97], 'lpoly_factorization': [[[1, 7, 97], 1]], 'p': 97}
id: 25
{'hecke_orbit_code': 33554446, 'lpoly': [1, 1], 'lpoly_factorization': [[[1, 1], 1]], 'p': 2}
id: 26
{'hecke_orbit_code': 33554446, 'lpoly': [1, 2, 3], 'lpoly_factorization': [[[1, 2, 3], 1]], 'p': 3}
id: 27
{'hecke_orbit_code': 33554446, 'lpoly': [1, 0, 5], 'lpoly_factorization': [[[1, 0, 5], 1]], 'p': 5}
id: 28
{'hecke_orbit_code': 33554446, 'lpoly': [1, -1], 'lpoly_factorization': [[[1, -1], 1]], 'p': 7}
id: 29
{'hecke_orbit_code': 33554446, 'lpoly': [1, 0, 11], 'lpoly_factorization': [[[1, 0, 11], 1]], 'p': 11}
id: 30
{'hecke_orbit_code': 33554446, 'lpoly': [1, 4, 13], 'lpoly_factorization': [[[1, 4, 13], 1]], 'p': 13}
id: 31
{'hecke_orbit_code': 33554446, 'lpoly': [1, -6, 17], 'lpoly_factorization': [[[1, -6, 17], 1]], 'p': 17}
id: 32
{'hecke_orbit_code': 33554446, 'lpoly': [1, -2, 19], 'lpoly_factorization': [[[1, -2, 19], 1]], 'p': 19}
id: 33
{'hecke_orbit_code': 33554446, 'lpoly': [1, 0, 23], 'lpoly_factorization': [[[1, 0, 23], 1]], 'p': 23}
id: 34
{'hecke_orbit_code': 33554446, 'lpoly': [1, 6, 29], 'lpoly_factorization': [[[1, 6, 29], 1]], 'p': 29}
id: 35
{'hecke_orbit_code': 33554446, 'lpoly': [1, 4, 31], 'lpoly_factorization': [[[1, 4, 31], 1]], 'p': 31}
id: 36
{'hecke_orbit_code': 33554446, 'lpoly': [1, -2, 37], 'lpoly_factorization': [[[1, -2, 37], 1]], 'p': 37}
id: 37
{'hecke_orbit_code': 33554446, 'lpoly': [1, -6, 41], 'lpoly_factorization': [[[1, -6, 41], 1]], 'p': 41}
id: 38
{'hecke_orbit_code': 33554446, 'lpoly': [1, -8, 43], 'lpoly_factorization': [[[1, -8, 43], 1]], 'p': 43}
id: 39
{'hecke_orbit_code': 33554446, 'lpoly': [1, 12, 47], 'lpoly_factorization': [[[1, 12, 47], 1]], 'p': 47}
id: 40
{'hecke_orbit_code': 33554446, 'lpoly': [1, -6, 53], 'lpoly_factorization': [[[1, -6, 53], 1]], 'p': 53}
id: 41
{'hecke_orbit_code': 33554446, 'lpoly': [1, 6, 59], 'lpoly_factorization': [[[1, 6, 59], 1]], 'p': 59}
id: 42
{'hecke_orbit_code': 33554446, 'lpoly': [1, -8, 61], 'lpoly_factorization': [[[1, -8, 61], 1]], 'p': 61}
id: 43
{'hecke_orbit_code': 33554446, 'lpoly': [1, 4, 67], 'lpoly_factorization': [[[1, 4, 67], 1]], 'p': 67}
id: 44
{'hecke_orbit_code': 33554446, 'lpoly': [1, 0, 71], 'lpoly_factorization': [[[1, 0, 71], 1]], 'p': 71}
id: 45
{'hecke_orbit_code': 33554446, 'lpoly': [1, -2, 73], 'lpoly_factorization': [[[1, -2, 73], 1]], 'p': 73}
id: 46
{'hecke_orbit_code': 33554446, 'lpoly': [1, -8, 79], 'lpoly_factorization': [[[1, -8, 79], 1]], 'p': 79}
id: 47
{'hecke_orbit_code': 33554446, 'lpoly': [1, 6, 83], 'lpoly_factorization': [[[1, 6, 83], 1]], 'p': 83}
id: 48
{'hecke_orbit_code': 33554446, 'lpoly': [1, 6, 89], 'lpoly_factorization': [[[1, 6, 89], 1]], 'p': 89}
id: 49
{'hecke_orbit_code': 33554446, 'lpoly': [1, 10, 97], 'lpoly_factorization': [[[1, 10, 97], 1]], 'p': 97}
id: 50
{'hecke_orbit_code': 33554447, 'lpoly': [1, 1, 2], 'lpoly_factorization': [[[1, 1, 2], 1]], 'p': 2}
id: 51
{'hecke_orbit_code': 33554447, 'lpoly': [1, 1], 'lpoly_factorization': [[[1, 1], 1]], 'p': 3}
id: 52
{'hecke_orbit_code': 33554447, 'lpoly': [1, -1], 'lpoly_factorization': [[[1, -1], 1]], 'p': 5}
id: 53
{'hecke_orbit_code': 33554447, 'lpoly': [1, 0, 7], 'lpoly_factorization': [[[1, 0, 7], 1]], 'p': 7}
id: 54
{'hecke_orbit_code': 33554447, 'lpoly': [1, 4, 11], 'lpoly_factorization': [[[1, 4, 11], 1]], 'p': 11}
id: 55
{'hecke_orbit_code': 33554447, 'lpoly': [1, 2, 13], 'lpoly_factorization': [[[1, 2, 13], 1]], 'p': 13}
id: 56
{'hecke_orbit_code': 33554447, 'lpoly': [1, -2, 17], 'lpoly_factorization': [[[1, -2, 17], 1]], 'p': 17}
id: 57
{'hecke_orbit_code': 33554447, 'lpoly': [1, -4, 19], 'lpoly_factorization': [[[1, -4, 19], 1]], 'p': 19}
id: 58
{'hecke_orbit_code': 33554447, 'lpoly': [1, 0, 23], 'lpoly_factorization': [[[1, 0, 23], 1]], 'p': 23}
id: 59
{'hecke_orbit_code': 33554447, 'lpoly': [1, 2, 29], 'lpoly_factorization': [[[1, 2, 29], 1]], 'p': 29}
id: 60
{'hecke_orbit_code': 33554447, 'lpoly': [1, 0, 31], 'lpoly_factorization': [[[1, 0, 31], 1]], 'p': 31}
id: 61
{'hecke_orbit_code': 33554447, 'lpoly': [1, 10, 37], 'lpoly_factorization': [[[1, 10, 37], 1]], 'p': 37}
id: 62
{'hecke_orbit_code': 33554447, 'lpoly': [1, -10, 41], 'lpoly_factorization': [[[1, -10, 41], 1]], 'p': 41}
id: 63
{'hecke_orbit_code': 33554447, 'lpoly': [1, -4, 43], 'lpoly_factorization': [[[1, -4, 43], 1]], 'p': 43}
id: 64
{'hecke_orbit_code': 33554447, 'lpoly': [1, -8, 47], 'lpoly_factorization': [[[1, -8, 47], 1]], 'p': 47}
id: 65
{'hecke_orbit_code': 33554447, 'lpoly': [1, 10, 53], 'lpoly_factorization': [[[1, 10, 53], 1]], 'p': 53}
id: 66
{'hecke_orbit_code': 33554447, 'lpoly': [1, 4, 59], 'lpoly_factorization': [[[1, 4, 59], 1]], 'p': 59}
id: 67
{'hecke_orbit_code': 33554447, 'lpoly': [1, 2, 61], 'lpoly_factorization': [[[1, 2, 61], 1]], 'p': 61}
id: 68
{'hecke_orbit_code': 33554447, 'lpoly': [1, -12, 67], 'lpoly_factorization': [[[1, -12, 67], 1]], 'p': 67}
id: 69
{'hecke_orbit_code': 33554447, 'lpoly': [1, 8, 71], 'lpoly_factorization': [[[1, 8, 71], 1]], 'p': 71}
id: 70
{'hecke_orbit_code': 33554447, 'lpoly': [1, -10, 73], 'lpoly_factorization': [[[1, -10, 73], 1]], 'p': 73}
id: 71
{'hecke_orbit_code': 33554447, 'lpoly': [1, 0, 79], 'lpoly_factorization': [[[1, 0, 79], 1]], 'p': 79}
id: 72
{'hecke_orbit_code': 33554447, 'lpoly': [1, -12, 83], 'lpoly_factorization': [[[1, -12, 83], 1]], 'p': 83}
id: 73
{'hecke_orbit_code': 33554447, 'lpoly': [1, 6, 89], 'lpoly_factorization': [[[1, 6, 89], 1]], 'p': 89}
id: 74
{'hecke_orbit_code': 33554447, 'lpoly': [1, -2, 97], 'lpoly_factorization': [[[1, -2, 97], 1]], 'p': 97}
id: 75
{'hecke_orbit_code': 33554449, 'lpoly': [1, 1, 2], 'lpoly_factorization': [[[1, 1, 2], 1]], 'p': 2}
id: 76
{'hecke_orbit_code': 33554449, 'lpoly': [1, 0, 3], 'lpoly_factorization': [[[1, 0, 3], 1]], 'p': 3}
id: 77
{'hecke_orbit_code': 33554449, 'lpoly': [1, 2, 5], 'lpoly_factorization': [[[1, 2, 5], 1]], 'p': 5}
id: 78
{'hecke_orbit_code': 33554449, 'lpoly': [1, -4, 7], 'lpoly_factorization': [[[1, -4, 7], 1]], 'p': 7}
id: 79
{'hecke_orbit_code': 33554449, 'lpoly': [1, 0, 11], 'lpoly_factorization': [[[1, 0, 11], 1]], 'p': 11}
id: 80
{'hecke_orbit_code': 33554449, 'lpoly': [1, 2, 13], 'lpoly_factorization': [[[1, 2, 13], 1]], 'p': 13}
id: 81
{'hecke_orbit_code': 33554449, 'lpoly': [1, -1], 'lpoly_factorization': [[[1, -1], 1]], 'p': 17}
id: 82
{'hecke_orbit_code': 33554449, 'lpoly': [1, 4, 19], 'lpoly_factorization': [[[1, 4, 19], 1]], 'p': 19}
id: 83
{'hecke_orbit_code': 33554449, 'lpoly': [1, -4, 23], 'lpoly_factorization': [[[1, -4, 23], 1]], 'p': 23}
id: 84
{'hecke_orbit_code': 33554449, 'lpoly': [1, -6, 29], 'lpoly_factorization': [[[1, -6, 29], 1]], 'p': 29}
id: 85
{'hecke_orbit_code': 33554449, 'lpoly': [1, -4, 31], 'lpoly_factorization': [[[1, -4, 31], 1]], 'p': 31}
id: 86
{'hecke_orbit_code': 33554449, 'lpoly': [1, 2, 37], 'lpoly_factorization': [[[1, 2, 37], 1]], 'p': 37}
id: 87
{'hecke_orbit_code': 33554449, 'lpoly': [1, 6, 41], 'lpoly_factorization': [[[1, 6, 41], 1]], 'p': 41}
id: 88
{'hecke_orbit_code': 33554449, 'lpoly': [1, -4, 43], 'lpoly_factorization': [[[1, -4, 43], 1]], 'p': 43}
id: 89
{'hecke_orbit_code': 33554449, 'lpoly': [1, 0, 47], 'lpoly_factorization': [[[1, 0, 47], 1]], 'p': 47}
id: 90
{'hecke_orbit_code': 33554449, 'lpoly': [1, -6, 53], 'lpoly_factorization': [[[1, -6, 53], 1]], 'p': 53}
id: 91
{'hecke_orbit_code': 33554449, 'lpoly': [1, 12, 59], 'lpoly_factorization': [[[1, 12, 59], 1]], 'p': 59}
id: 92
{'hecke_orbit_code': 33554449, 'lpoly': [1, 10, 61], 'lpoly_factorization': [[[1, 10, 61], 1]], 'p': 61}
id: 93
{'hecke_orbit_code': 33554449, 'lpoly': [1, -4, 67], 'lpoly_factorization': [[[1, -4, 67], 1]], 'p': 67}
id: 94
{'hecke_orbit_code': 33554449, 'lpoly': [1, 4, 71], 'lpoly_factorization': [[[1, 4, 71], 1]], 'p': 71}
id: 95
{'hecke_orbit_code': 33554449, 'lpoly': [1, 6, 73], 'lpoly_factorization': [[[1, 6, 73], 1]], 'p': 73}
id: 96
{'hecke_orbit_code': 33554449, 'lpoly': [1, -12, 79], 'lpoly_factorization': [[[1, -12, 79], 1]], 'p': 79}
id: 97
{'hecke_orbit_code': 33554449, 'lpoly': [1, 4, 83], 'lpoly_factorization': [[[1, 4, 83], 1]], 'p': 83}
id: 98
{'hecke_orbit_code': 33554449, 'lpoly': [1, -10, 89], 'lpoly_factorization': [[[1, -10, 89], 1]], 'p': 89}
id: 99
{'hecke_orbit_code': 33554449, 'lpoly': [1, -2, 97], 'lpoly_factorization': [[[1, -2, 97], 1]], 'p': 97}

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