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jmikedupont2/oeis_monster_ssp_.txt

Created April 3, 2026 18:42
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Monster Moonshine OEIS Sequences
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oeis_monster_ssp_.txt
# Monster Moonshine OEIS Sequences
# Exponent of each SSP prime in Monster irreducible representations
# n: irrep index (0-193), value: exponent of prime in irrep n
exp_2: 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 12, 0, 0, 3, 0, 1, 2, 0, 1, 3, 0, 0, 0, 0, 7, 0, 0, 0, 0, 4, 0, 3, 1, 1, 2, 2, 18, 18, 18, 1, 1, 18, 1, 1, 5, 19, 2, 2, 0, 0, 0, 0, 5, 0, 17, 17, 12, 0, 3, 16, 6, 3, 2, 1, 3, 2, 0, 0, 0, 0, 0, 3, 0, 6, 4, 2, 31, 31, 1, 1, 2, 2, 0, 3, 1, 1, 1, 0, 1, 3, 6, 10, 18, 11, 0, 0, 0, 46, 46, 0, 1, 1, 0, 0, 3, 0, 2, 18, 4, 0, 3, 7, 2, 3, 18, 3, 13, 0, 43, 43, 43, 20, 0, 1, 1, 9, 1, 2, 42, 3, 18, 18, 21, 0, 1, 42, 1, 16, 0, 2, 28, 18, 2, 32, 2, 2, 3, 1, 0, 10, 4, 2, 18, 20, 32, 0, 0, 12, 1, 2, 1, 0, 3, 0, 18, 6, 0, 42, 12, 0, 42, 0, 0, 0, 0, 0, 44, 0, 2, 2, 0, 0, 2, 7, 0, 1, 1, 1, 46, 0
exp_3: 0, 0, 0, 0, 0, 0, 1, 1, 6, 0, 3, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 19, 19, 6, 0, 3, 1, 0, 2, 0, 2, 0, 3, 0, 0, 0, 0, 0, 0, 12, 12, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 7, 0, 0, 0, 1, 6, 0, 3, 3, 17, 3, 12, 0, 0, 18, 18, 3, 0, 0, 0, 17, 17, 3, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 3, 9, 1, 1, 1, 1, 3, 2, 13, 13, 19, 0, 0, 3, 19, 19, 19, 19, 0, 6, 0, 0, 12, 3, 2, 9, 1, 6, 0, 6, 0, 19, 0, 0, 0, 2, 2, 0, 0, 1, 17, 0, 0, 0, 0, 0, 0, 2, 0, 0, 17, 1, 17, 0, 1, 3, 0, 0, 4, 2, 6, 19, 19, 1, 7, 2, 0, 0, 0, 19, 17, 1, 19, 19, 2, 1, 1, 18, 19, 0, 12, 0, 6, 12, 2, 20, 0, 17, 4, 4, 0, 12, 0, 0, 0, 18, 19, 2, 17, 0, 2, 6, 2, 12
exp_5: 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 9, 9, 0, 2, 2, 7, 0, 2, 0, 3, 0, 0, 7, 2, 7, 7, 1, 1, 2, 1, 8, 8, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 8, 1, 0, 0, 9, 9, 9, 9, 1, 7, 5, 5, 0, 0, 7, 2, 0, 0, 7, 2, 2, 9, 9, 9, 1, 9, 9, 3, 2, 0, 7, 2, 0, 0, 9, 9, 9, 9, 5, 0, 8, 8, 8, 7, 8, 1, 2, 2, 8, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 3, 9, 0, 0, 9, 0, 0, 2, 0, 8, 8, 2, 5, 0, 0, 0, 0, 9, 9, 9, 8, 2, 2, 0, 8, 0, 0, 0, 9, 5, 7, 1, 0, 1, 7, 0, 2, 1, 9, 1, 9, 7, 1, 0, 0, 7, 9, 0, 2, 1, 0, 7, 9, 0, 0, 3, 9, 7, 0, 0, 9, 2, 0, 2, 0, 1, 0, 9, 7, 0, 0, 0, 5, 9, 7, 9, 0, 0, 1, 7, 8, 9, 8, 0, 7
exp_7: 0, 0, 0, 0, 1, 0, 0, 1, 1, 4, 1, 0, 4, 1, 4, 6, 6, 1, 5, 5, 0, 5, 1, 4, 1, 0, 0, 0, 0, 0, 5, 5, 1, 0, 0, 1, 4, 4, 6, 6, 6, 6, 0, 6, 6, 5, 5, 5, 4, 1, 6, 5, 0, 0, 6, 6, 1, 1, 0, 0, 1, 5, 5, 0, 6, 1, 4, 1, 3, 0, 0, 0, 6, 1, 1, 5, 0, 4, 0, 5, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 1, 4, 6, 5, 5, 1, 3, 6, 6, 0, 0, 0, 1, 4, 4, 0, 0, 6, 2, 4, 6, 1, 0, 4, 0, 6, 6, 5, 1, 5, 1, 0, 0, 0, 0, 6, 6, 6, 1, 5, 6, 4, 6, 6, 6, 6, 6, 4, 0, 5, 4, 0, 4, 1, 1, 6, 0, 6, 1, 5, 1, 0, 5, 1, 4, 6, 5, 0, 1, 4, 1, 4, 0, 4, 0, 5, 5, 0, 4, 1, 0, 5, 6, 4, 6, 3, 0, 6, 6, 6, 3, 6, 5, 6, 1, 4, 4, 1, 6, 1, 6, 0, 0
exp_11: 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0
exp_13: 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 3, 2, 0, 2, 2, 3, 0, 2, 3, 3, 0, 3, 2, 0, 3, 2, 3, 2, 3, 0, 3, 3, 3, 3, 3, 3, 1, 1, 0, 3, 3, 0, 0, 0, 2, 3, 3, 0, 0, 3, 2, 3, 3, 2, 2, 2, 2, 3, 2, 0, 3, 3, 2, 0, 0, 3, 3, 3, 3, 2, 0, 2, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 2, 2, 3, 0, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 0, 3, 3, 3, 3, 2, 2, 0, 1, 3, 0, 2, 2, 2, 3, 0, 2, 2, 3, 0, 3, 0, 0, 3, 3, 3, 2, 3, 0, 0, 2, 2, 3, 2, 3, 3, 0, 3, 1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 1, 2, 3, 0, 3, 2, 3, 3, 2, 0, 3, 2, 3, 3, 0, 0, 3, 3, 2, 2, 3, 3, 0, 3, 3, 0, 0, 3
exp_17: 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1
exp_19: 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0
exp_23: 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1
exp_29: 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1
exp_31: 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1
exp_41: 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1
exp_47: 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1
exp_59: 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1
exp_71: 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1
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