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.
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.
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Zeta5Irrational
.
U_184_1
Zeta5Irrational
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U_184_2
Zeta5Irrational
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U_184_3
Zeta5Irrational
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U_184_4
Zeta5Irrational
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U_184_5
Zeta5Irrational
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U_184_6
Zeta5Irrational
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U_184_7
Zeta5Irrational
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U_184_8
Zeta5Irrational
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U_184_9
Zeta5Irrational
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U_184_10
Zeta5Irrational
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U_184_11
Zeta5Irrational
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U_184_12
Zeta5Irrational
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U_184_13
Zeta5Irrational
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U_184_14
Zeta5Irrational
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U_184_15
Zeta5Irrational
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U_184_16
Zeta5Irrational
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U_184
Zeta5Irrational
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U_185_1
Zeta5Irrational
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U_185_2
Zeta5Irrational
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U_185_3
Zeta5Irrational
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U_185_4
Zeta5Irrational
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U_185_5
Zeta5Irrational
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U_185_6
Zeta5Irrational
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U_185_7
Zeta5Irrational
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U_185_8
Zeta5Irrational
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U_185_9
Zeta5Irrational
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U_185_10
Zeta5Irrational
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U_185_11
Zeta5Irrational
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U_185_12
Zeta5Irrational
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U_185_13
Zeta5Irrational
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U_185_14
Zeta5Irrational
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U_185_15
Zeta5Irrational
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U_185_16
Zeta5Irrational
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U_185
Zeta5Irrational
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U_186_1
Zeta5Irrational
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U_186_2
Zeta5Irrational
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U_186_3
Zeta5Irrational
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U_186_4
Zeta5Irrational
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U_186_5
Zeta5Irrational
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U_186_6
Zeta5Irrational
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U_186_7
Zeta5Irrational
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U_186_8
Zeta5Irrational
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U_186_9
Zeta5Irrational
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U_186_10
Zeta5Irrational
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U_186_11
Zeta5Irrational
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U_186_12
Zeta5Irrational
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U_186_13
Zeta5Irrational
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U_186_14
Zeta5Irrational
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U_186_15
Zeta5Irrational
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U_186_16
Zeta5Irrational
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U_186
Zeta5Irrational
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U_187_1
Zeta5Irrational
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U_187_2
Zeta5Irrational
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U_187_3
Zeta5Irrational
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U_187_4
Zeta5Irrational
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U_187_5
Zeta5Irrational
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U_187_6
Zeta5Irrational
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U_187_7
Zeta5Irrational
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U_187_8
Zeta5Irrational
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U_187_9
Zeta5Irrational
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U_187_10
Zeta5Irrational
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U_187_11
Zeta5Irrational
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U_187_12
Zeta5Irrational
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U_187_13
Zeta5Irrational
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U_187_14
Zeta5Irrational
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U_187_15
Zeta5Irrational
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U_187_16
Zeta5Irrational
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U_187
Zeta5Irrational
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U_188_1
Zeta5Irrational
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U_188_2
Zeta5Irrational
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U_188_3
Zeta5Irrational
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U_188_4
Zeta5Irrational
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U_188_5
Zeta5Irrational
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U_188_6
Zeta5Irrational
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U_188_7
Zeta5Irrational
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U_188_8
Zeta5Irrational
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U_188_9
Zeta5Irrational
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U_188_10
Zeta5Irrational
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U_188_11
Zeta5Irrational
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U_188_12
Zeta5Irrational
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U_188_13
Zeta5Irrational
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U_188_14
Zeta5Irrational
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U_188_15
Zeta5Irrational
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U_188_16
Zeta5Irrational
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U_188
Zeta5Irrational
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U_189_1
Zeta5Irrational
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U_189_2
Zeta5Irrational
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U_189_3
Zeta5Irrational
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U_189_4
Zeta5Irrational
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U_189_5
Zeta5Irrational
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U_189_6
Zeta5Irrational
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U_189_7
Zeta5Irrational
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U_189_8
Zeta5Irrational
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U_189_9
Zeta5Irrational
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U_189_10
Zeta5Irrational
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U_189_11
Zeta5Irrational
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U_189_12
Zeta5Irrational
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U_189_13
Zeta5Irrational
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U_189_14
Zeta5Irrational
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U_189_15
Zeta5Irrational
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U_189_16
Zeta5Irrational
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U_189
Zeta5Irrational
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U_190_1
Zeta5Irrational
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U_190_2
Zeta5Irrational
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U_190_3
Zeta5Irrational
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U_190_4
Zeta5Irrational
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U_190_5
Zeta5Irrational
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U_190_6
Zeta5Irrational
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U_190_7
Zeta5Irrational
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U_190_8
Zeta5Irrational
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U_190_9
Zeta5Irrational
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U_190_10
Zeta5Irrational
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U_190_11
Zeta5Irrational
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U_190_12
Zeta5Irrational
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U_190_13
Zeta5Irrational
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U_190_14
Zeta5Irrational
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U_190_15
Zeta5Irrational
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U_190_16
Zeta5Irrational
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U_190
Zeta5Irrational
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U_191_1
Zeta5Irrational
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U_191_2
Zeta5Irrational
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U_191_3
Zeta5Irrational
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U_191_4
Zeta5Irrational
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U_191_5
Zeta5Irrational
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U_191_6
Zeta5Irrational
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U_191_7
Zeta5Irrational
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U_191_8
Zeta5Irrational
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U_191_9
Zeta5Irrational
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U_191_10
Zeta5Irrational
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U_191_11
Zeta5Irrational
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U_191_12
Zeta5Irrational
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U_191_13
Zeta5Irrational
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U_191_14
Zeta5Irrational
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U_191_15
Zeta5Irrational
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U_191_16
Zeta5Irrational
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U_191
Zeta5Irrational
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U_192_1
Zeta5Irrational
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U_192_2
Zeta5Irrational
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U_192_3
Zeta5Irrational
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U_192_4
Zeta5Irrational
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U_192_5
Zeta5Irrational
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U_192_6
Zeta5Irrational
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U_192_7
Zeta5Irrational
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U_192_8
Zeta5Irrational
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U_192_9
Zeta5Irrational
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U_192_10
Zeta5Irrational
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U_192_11
Zeta5Irrational
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U_192_12
Zeta5Irrational
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U_192_13
Zeta5Irrational
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U_192_14
Zeta5Irrational
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U_192_15
Zeta5Irrational
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U_192_16
Zeta5Irrational
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U_192
Zeta5Irrational
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U_193_1
Zeta5Irrational
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U_193_2
Zeta5Irrational
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U_193_3
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U_193_4
Zeta5Irrational
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U_193_5
Zeta5Irrational
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U_193_6
Zeta5Irrational
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U_193_7
Zeta5Irrational
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U_193_8
Zeta5Irrational
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U_193_9
Zeta5Irrational
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U_193_10
Zeta5Irrational
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U_193_11
Zeta5Irrational
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U_193_12
Zeta5Irrational
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U_193_13
Zeta5Irrational
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U_193_14
Zeta5Irrational
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U_193_15
Zeta5Irrational
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U_193_16
Zeta5Irrational
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U_193
Zeta5Irrational
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U_194_1
Zeta5Irrational
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U_194_2
Zeta5Irrational
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U_194_3
Zeta5Irrational
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U_194_4
Zeta5Irrational
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U_194_5
Zeta5Irrational
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U_194_6
Zeta5Irrational
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U_194_7
Zeta5Irrational
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U_194_8
Zeta5Irrational
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U_194_9
Zeta5Irrational
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U_194_10
Zeta5Irrational
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U_194_11
Zeta5Irrational
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U_194_12
Zeta5Irrational
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U_194_13
Zeta5Irrational
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U_194_14
Zeta5Irrational
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U_194_15
Zeta5Irrational
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U_194_16
Zeta5Irrational
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U_194
Zeta5Irrational
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U_195_1
Zeta5Irrational
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U_195_2
Zeta5Irrational
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U_195_3
Zeta5Irrational
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U_195_4
Zeta5Irrational
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U_195_5
Zeta5Irrational
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U_195_6
Zeta5Irrational
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U_195_7
Zeta5Irrational
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U_195_8
Zeta5Irrational
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U_195_9
Zeta5Irrational
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U_195_10
Zeta5Irrational
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U_195_11
Zeta5Irrational
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U_195_12
Zeta5Irrational
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U_195_13
Zeta5Irrational
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U_195_14
Zeta5Irrational
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U_195_15
Zeta5Irrational
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U_195_16
Zeta5Irrational
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U_195
Certified arcsine potential bounds (U15)
#
source
theorem
Zeta5Irrational
.
U_184_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
1972876467523
/
16000000000000
)
≤
-
(
10734696757160727232713
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_184_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
1972876467523
/
16000000000000
)
≤
-
(
10840908887218247258763
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_184_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
1972876467523
/
16000000000000
)
≤
-
(
11063702462299722560483
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_184_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
1972876467523
/
16000000000000
)
≤
-
(
22939613024631683193711
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_184_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
1972876467523
/
16000000000000
)
≤
-
(
4882994056373813382959
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_184_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
1972876467523
/
16000000000000
)
≤
-
(
13764778325010343518127
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_184_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
1972876467523
/
16000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_184_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
1972876467523
/
16000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_184_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
1972876467523
/
16000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_184_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
1972876467523
/
16000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_184_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
1972876467523
/
16000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_184_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
1972876467523
/
16000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_184_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
1972876467523
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_184_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
1972876467523
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_184_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
1972876467523
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_184_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
1972876467523
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_184
:
Uρ
(
1972876467523
/
16000000000000
)
≤
-
(
11343342076695662676383
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_185_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
199529881231
/
1600000000000
)
≤
-
(
4270030594954638318783
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_185_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
199529881231
/
1600000000000
)
≤
-
(
21559949844423918091557
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_185_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
199529881231
/
1600000000000
)
≤
-
(
21999733418108408918803
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_185_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
199529881231
/
1600000000000
)
≤
-
(
22800221341664611774923
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_185_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
199529881231
/
1600000000000
)
≤
-
(
24249554734050633766169
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_185_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
199529881231
/
1600000000000
)
≤
-
(
5454999569515305561689
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_185_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
199529881231
/
1600000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_185_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
199529881231
/
1600000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_185_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
199529881231
/
1600000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_185_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
199529881231
/
1600000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_185_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
199529881231
/
1600000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_185_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
199529881231
/
1600000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_185_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
199529881231
/
1600000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_185_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
199529881231
/
1600000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_185_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
199529881231
/
1600000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_185_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
199529881231
/
1600000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_185
:
Uρ
(
199529881231
/
1600000000000
)
≤
-
(
2829593273725598213717
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_186_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
2017721157097
/
16000000000000
)
≤
-
(
2654039731137533813037
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_186_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
2017721157097
/
16000000000000
)
≤
-
(
4287910305227927671211
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_186_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
2017721157097
/
16000000000000
)
≤
-
(
21873680991519987290401
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_186_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
2017721157097
/
16000000000000
)
≤
-
(
22662784376969185616087
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_186_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
2017721157097
/
16000000000000
)
≤
-
(
4817403452281815741051
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_186_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
2017721157097
/
16000000000000
)
≤
-
(
27028809110634695454701
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_186_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
2017721157097
/
16000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_186_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
2017721157097
/
16000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_186_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
2017721157097
/
16000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_186_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
2017721157097
/
16000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_186_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
2017721157097
/
16000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_186_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
2017721157097
/
16000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_186_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
2017721157097
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_186_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
2017721157097
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_186_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
2017721157097
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_186_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
2017721157097
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_186
:
Uρ
(
2017721157097
/
16000000000000
)
≤
-
(
5646977118127164902371
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_187_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
510035875471
/
4000000000000
)
≤
-
(
10557927693038472750489
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_187_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
510035875471
/
4000000000000
)
≤
-
(
21320587743862525124249
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_187_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
510035875471
/
4000000000000
)
≤
-
(
4349841371920999492129
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_187_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
510035875471
/
4000000000000
)
≤
-
(
28159058803363137901
/
12500000000000000000
)
source
theorem
Zeta5Irrational
.
U_187_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
510035875471
/
4000000000000
)
≤
-
(
11963626737311393197339
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_187_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
510035875471
/
4000000000000
)
≤
-
(
13395175617456387926221
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_187_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
510035875471
/
4000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_187_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
510035875471
/
4000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_187_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
510035875471
/
4000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_187_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
510035875471
/
4000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_187_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
510035875471
/
4000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_187_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
510035875471
/
4000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_187_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
510035875471
/
4000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_187_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
510035875471
/
4000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_187_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
510035875471
/
4000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_187_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
510035875471
/
4000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_187
:
Uρ
(
510035875471
/
4000000000000
)
≤
-
(
22540107043114398128433
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_188_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
1042494095729
/
8000000000000
)
≤
-
(
2088692305103148942643
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_188_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
1042494095729
/
8000000000000
)
≤
-
(
5271707410071795261109
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_188_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
1042494095729
/
8000000000000
)
≤
-
(
4300967582928605563113
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_188_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
1042494095729
/
8000000000000
)
≤
-
(
22261662463063795315849
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_188_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
1042494095729
/
8000000000000
)
≤
-
(
23615658202251705360119
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_188_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
1042494095729
/
8000000000000
)
≤
-
(
329180582000059646687
/
125000000000000000000
)
source
theorem
Zeta5Irrational
.
U_188_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
1042494095729
/
8000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_188_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
1042494095729
/
8000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_188_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
1042494095729
/
8000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_188_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
1042494095729
/
8000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_188_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
1042494095729
/
8000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_188_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
1042494095729
/
8000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_188_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
1042494095729
/
8000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_188_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
1042494095729
/
8000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_188_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
1042494095729
/
8000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_188_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
1042494095729
/
8000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_188
:
Uρ
(
1042494095729
/
8000000000000
)
≤
-
(
22447390042549224808151
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_189_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
266229110129
/
2000000000000
)
≤
-
(
20663115692318653602647
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_189_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
266229110129
/
2000000000000
)
≤
-
(
20858418761046195439279
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_189_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
266229110129
/
2000000000000
)
≤
-
(
4253265914535006292877
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_189_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
266229110129
/
2000000000000
)
≤
-
(
22003071308913592837197
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_189_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
266229110129
/
2000000000000
)
≤
-
(
11657021536339170325913
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_189_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
266229110129
/
2000000000000
)
≤
-
(
25903511253721066404459
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_189_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
266229110129
/
2000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_189_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
266229110129
/
2000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_189_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
266229110129
/
2000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_189_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
266229110129
/
2000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_189_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
266229110129
/
2000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_189_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
266229110129
/
2000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_189_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
266229110129
/
2000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_189_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
266229110129
/
2000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_189_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
266229110129
/
2000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_189_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
266229110129
/
2000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_189
:
Uρ
(
266229110129
/
2000000000000
)
≤
-
(
11179100805596847419571
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_190_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
110976113009
/
800000000000
)
≤
-
(
20229992373945278136929
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_190_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
110976113009
/
800000000000
)
≤
-
(
20416696451517995856967
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_190_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
110976113009
/
800000000000
)
≤
-
(
2080581013886745405213
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_190_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
110976113009
/
800000000000
)
≤
-
(
21505438446981235916047
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_190_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
110976113009
/
800000000000
)
≤
-
(
4547642411201558481751
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_190_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
110976113009
/
800000000000
)
≤
-
(
25105050925041415667209
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_190_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
110976113009
/
800000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_190_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
110976113009
/
800000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_190_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
110976113009
/
800000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_190_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
110976113009
/
800000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_190_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
110976113009
/
800000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_190_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
110976113009
/
800000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_190_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
110976113009
/
800000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_190_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
110976113009
/
800000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_190_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
110976113009
/
800000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_190_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
110976113009
/
800000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_190
:
Uρ
(
110976113009
/
800000000000
)
≤
-
(
11094580622395912739221
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_191_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
72162863729
/
500000000000
)
≤
-
(
19814855621105804326481
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_191_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
72162863729
/
500000000000
)
≤
-
(
19993685957203362780097
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_191_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
72162863729
/
500000000000
)
≤
-
(
10182830255675675289117
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_191_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
72162863729
/
500000000000
)
≤
-
(
2628969020630553055031
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_191_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
72162863729
/
500000000000
)
≤
-
(
22195271732922818939507
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_191_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
72162863729
/
500000000000
)
≤
-
(
24376790840821149583193
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_191_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
72162863729
/
500000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_191_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
72162863729
/
500000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_191_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
72162863729
/
500000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_191_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
72162863729
/
500000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_191_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
72162863729
/
500000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_191_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
72162863729
/
500000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_191_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
72162863729
/
500000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_191_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
72162863729
/
500000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_191_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
72162863729
/
500000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_191_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
72162863729
/
500000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_191
:
Uρ
(
72162863729
/
500000000000
)
≤
-
(
22030937450651269436371
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_192_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
4675203313927
/
32000000000000
)
≤
-
(
787478463849348170387
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_192_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
4675203313927
/
32000000000000
)
≤
-
(
19863436151075893595487
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_192_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
4675203313927
/
32000000000000
)
≤
-
(
4046059230732191981441
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_192_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
4675203313927
/
32000000000000
)
≤
-
(
20886435181837476410703
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_192_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
4675203313927
/
32000000000000
)
≤
-
(
22029650929542333847147
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_192_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
4675203313927
/
32000000000000
)
≤
-
(
19326993602285207127
/
8000000000000000000
)
source
theorem
Zeta5Irrational
.
U_192_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
4675203313927
/
32000000000000
)
≤
-
(
969506853701683875103
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_192_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
4675203313927
/
32000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_192_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
4675203313927
/
32000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_192_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
4675203313927
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_192_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
4675203313927
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_192_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
4675203313927
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_192_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
4675203313927
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_192_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
4675203313927
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_192_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
4675203313927
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_192_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
4675203313927
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_192
:
Uρ
(
4675203313927
/
32000000000000
)
≤
-
(
21794875057781414112513
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_193_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
2365991674599
/
16000000000000
)
≤
-
(
19560682890171164556221
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_193_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
2365991674599
/
16000000000000
)
≤
-
(
394697258427317257959
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_193_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
2365991674599
/
16000000000000
)
≤
-
(
2512093407885480065093
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_193_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
2365991674599
/
16000000000000
)
≤
-
(
10371614014328306359131
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_193_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
2365991674599
/
16000000000000
)
≤
-
(
5466711720418222399723
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_193_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
2365991674599
/
16000000000000
)
≤
-
(
23946103601804326428943
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_193_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
2365991674599
/
16000000000000
)
≤
-
(
752824408466949677751
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_193_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
2365991674599
/
16000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_193_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
2365991674599
/
16000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_193_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
2365991674599
/
16000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_193_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
2365991674599
/
16000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_193_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
2365991674599
/
16000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_193_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
2365991674599
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_193_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
2365991674599
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_193_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
2365991674599
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_193_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
2365991674599
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_193
:
Uρ
(
2365991674599
/
16000000000000
)
≤
-
(
21670353188008540621837
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_194_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
4788763384469
/
32000000000000
)
≤
-
(
3887195840299343045543
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_194_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
4788763384469
/
32000000000000
)
≤
-
(
1960792360803155468861
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_194_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
4788763384469
/
32000000000000
)
≤
-
(
19964965591887264809447
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_194_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
4788763384469
/
32000000000000
)
≤
-
(
20602069529176842578973
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_194_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
4788763384469
/
32000000000000
)
≤
-
(
21706761635276424051639
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_194_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
4788763384469
/
32000000000000
)
≤
-
(
4747716261870926325079
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_194_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
4788763384469
/
32000000000000
)
≤
-
(
14708997966031985063453
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_194_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
4788763384469
/
32000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_194_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
4788763384469
/
32000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_194_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
4788763384469
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_194_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
4788763384469
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_194_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
4788763384469
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_194_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
4788763384469
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_194_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
4788763384469
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_194_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
4788763384469
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_194_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
4788763384469
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_194
:
Uρ
(
4788763384469
/
32000000000000
)
≤
-
(
10782516787768049362653
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_195_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
9634306804209
/
64000000000000
)
≤
-
(
1210887862743762534847
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_195_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
9634306804209
/
64000000000000
)
≤
-
(
977252689052743997793
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_195_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
9634306804209
/
64000000000000
)
≤
-
(
9949861454974666734381
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_195_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
9634306804209
/
64000000000000
)
≤
-
(
20532240139569703071389
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_195_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
9634306804209
/
64000000000000
)
≤
-
(
21627709382413351683267
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_195_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
9634306804209
/
64000000000000
)
≤
-
(
5909163429288754127091
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_195_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
9634306804209
/
64000000000000
)
≤
-
(
2911592179000382039081
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_195_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
9634306804209
/
64000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_195_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
9634306804209
/
64000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_195_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
9634306804209
/
64000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_195_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
9634306804209
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_195_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
9634306804209
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_195_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
9634306804209
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_195_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
9634306804209
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_195_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
9634306804209
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_195_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
9634306804209
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_195
:
Uρ
(
9634306804209
/
64000000000000
)
≤
-
(
21516535824810612976769
/
10000000000000000000000
)