maass_newforms_level_1.sage

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4496 bytes, as of the version from 2026-08-13 22:07 (current). Recorded here, not run.

# Maass forms downloaded from the LMFDB on 16 May 2021.
# Query "{'level': 1}" returned 69 forms.

# Below are two lists, one called labels, and one called data (in matching order).
# Each entry in the data list has the form:
#    [level, weight, conrey_index, spectral_parameter, symmetry, fricke_eigenvalue]

labels  =  [\
"4cb8503a58bca91458000032",
"4cb8503a58bca91458000033",
"4cb8503a58bca91458000000",
"4cb8503a58bca91458000034",
"4cb8503a58bca91458000035",
"4cb8503a58bca91458000036",
"4cb8503a58bca91458000001",
"4cb8503a58bca91458000037",
"4cb8503a58bca91458000002",
"4cb8503a58bca91458000038",
"4cb8503a58bca91458000039",
"4cb8503a58bca91458000003",
"4cb8503a58bca9145800003a",
"4cb8503a58bca9145800003b",
"4cb8503a58bca91458000004",
"4cb8503a58bca9145800003c",
"4cb8503a58bca9145800003d",
"4cb8503a58bca91458000005",
"4cb8503a58bca9145800003e",
"4cb8503a58bca9145800003f",
"4cb8503a58bca91458000006",
"4cb8503a58bca91458000040",
"4cb8503a58bca91458000007",
"4cb8503a58bca91458000041",
"4cb8503a58bca91458000042",
"4cb8503a58bca91458000008",
"4cb8503a58bca91458000043",
"4cb8503a58bca91458000044",
"4cb8503a58bca91458000009",
"4cb8503a58bca9145800000a",
"4cb8503a58bca91458000045",
"4cb8503a58bca91458000046",
"4cb8503a58bca9145800000b",
"4cb8503a58bca9145800000c",
"4cb8503a58bca9145800000d",
"4cb8503a58bca9145800000e",
"4cb8503a58bca9145800000f",
"4cb8503a58bca91458000010",
"4cb8503a58bca91458000011",
"4cb8503a58bca91458000012",
"4cb8503a58bca91458000013",
"4cb8503a58bca91458000014",
"4cb8503a58bca91458000016",
"4cb8503a58bca91458000018",
"4cb8503a58bca91458000019",
"4cb8503a58bca9145800001a",
"4cb8503a58bca9145800001b",
"4cb8503a58bca9145800001c",
"4cb8503a58bca9145800001d",
"4cb8503a58bca9145800001e",
"4cb8503a58bca9145800001f",
"4cb8503a58bca91458000020",
"4cb8503a58bca91458000021",
"4cb8503a58bca91458000022",
"4cb8503a58bca91458000023",
"4cb8503a58bca91458000024",
"4cb8503a58bca91458000025",
"4cb8503a58bca91458000026",
"4cb8503a58bca91458000027",
"4cb8503a58bca91458000028",
"4cb8503a58bca91458000029",
"4cb8503a58bca9145800002a",
"4cb8503a58bca9145800002b",
"4cb8503a58bca9145800002c",
"4cb8503a58bca9145800002d",
"4cb8503a58bca9145800002e",
"4cb8503a58bca9145800002f",
"4cb8503a58bca91458000030",
"4cb8503a58bca91458000031"]


data  =  [\
[1, 0, 1, 9.53369526135, -1, 1],
[1, 0, 1, 12.1730083247, -1, 1],
[1, 0, 1, 13.7797513519, 1, 1],
[1, 0, 1, 14.3585095183, -1, 1],
[1, 0, 1, 16.1380731715, -1, 1],
[1, 0, 1, 16.6442592019, -1, 1],
[1, 0, 1, 17.7385633811, 1, 1],
[1, 0, 1, 18.1809178345, -1, 1],
[1, 0, 1, 19.4234814708, 1, 1],
[1, 0, 1, 19.4847138547, -1, 1],
[1, 0, 1, 20.1066946826, -1, 1],
[1, 0, 1, 21.3157959402, 1, 1],
[1, 0, 1, 21.4790575447, -1, 1],
[1, 0, 1, 22.1946739776, -1, 1],
[1, 0, 1, 22.7859084942, 1, 1],
[1, 0, 1, 23.2013961812, -1, 1],
[1, 0, 1, 23.2637115379, -1, 1],
[1, 0, 1, 24.1123527298, 1, 1],
[1, 0, 1, 24.4197154423, -1, 1],
[1, 0, 1, 25.0508548508, -1, 1],
[1, 0, 1, 25.8262437127, 1, 1],
[1, 0, 1, 26.0569177607, -1, 1],
[1, 0, 1, 26.1520854492, 1, 1],
[1, 0, 1, 26.446996418, -1, 1],
[1, 0, 1, 27.2843840117, -1, 1],
[1, 0, 1, 27.3327080831, 1, 1],
[1, 0, 1, 27.7759207018, -1, 1],
[1, 0, 1, 28.5102777031, -1, 1],
[1, 0, 1, 28.5307476929, 1, 1],
[1, 0, 1, 28.8633943539, 1, 1],
[1, 0, 1, 29.1375875578, -1, 1],
[1, 0, 1, 29.5463881241, -1, 1],
[1, 0, 1, 31.5265821968, 1, 1],
[1, 0, 1, 31.5662754118, 1, 1],
[1, 0, 1, 32.5081177599, 1, 1],
[1, 0, 1, 32.8911702135, 1, 1],
[1, 0, 1, 34.0278842001, 1, 1],
[1, 0, 1, 34.456271533, 1, 1],
[1, 0, 1, 35.5023497714, 1, 1],
[1, 0, 1, 35.8416764326, 1, 1],
[1, 0, 1, 36.6775529931, 1, 1],
[1, 0, 1, 36.8563494959, 1, 1],
[1, 0, 1, 37.8250722906, 1, 1],
[1, 0, 1, 38.3032761525, 1, 1],
[1, 0, 1, 39.1680849679, 1, 1],
[1, 0, 1, 39.4075318615, 1, 1],
[1, 0, 1, 39.773622619, 1, 1],
[1, 0, 1, 40.5433512105, 1, 1],
[1, 0, 1, 40.6886664449, 1, 1],
[1, 0, 1, 41.5555776736, 1, 1],
[1, 0, 1, 41.8830032854, 1, 1],
[1, 0, 1, 42.6434884147, 1, 1],
[1, 0, 1, 42.9222277836, 1, 1],
[1, 0, 1, 43.2671820388, 1, 1],
[1, 0, 1, 44.0774047617, 1, 1],
[1, 0, 1, 44.4263481186, 1, 1],
[1, 0, 1, 45.2874384425, 1, 1],
[1, 0, 1, 45.3616136021, 1, 1],
[1, 0, 1, 45.3984695313, 1, 1],
[1, 0, 1, 46.1014563216, 1, 1],
[1, 0, 1, 46.4814024123, 1, 1],
[1, 0, 1, 46.65331836, 1, 1],
[1, 0, 1, 47.4228958985, 1, 1],
[1, 0, 1, 47.9265583306, 1, 1],
[1, 0, 1, 48.0393309051, 1, 1],
[1, 0, 1, 48.7416663476, 1, 1],
[1, 0, 1, 48.9983076541, 1, 1],
[1, 0, 1, 49.6835200753, 1, 1],
[1, 0, 1, 49.9616962905, 1, 1]]