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.
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.
Table
.
U13
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LeanPool.Zeta5Irrational.Table.UpperCertificate
Imported by
Zeta5Irrational
.
U_160_1
Zeta5Irrational
.
U_160_2
Zeta5Irrational
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U_160_3
Zeta5Irrational
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U_160_4
Zeta5Irrational
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U_160_5
Zeta5Irrational
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U_160_6
Zeta5Irrational
.
U_160_7
Zeta5Irrational
.
U_160_8
Zeta5Irrational
.
U_160_9
Zeta5Irrational
.
U_160_10
Zeta5Irrational
.
U_160_11
Zeta5Irrational
.
U_160_12
Zeta5Irrational
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U_160_13
Zeta5Irrational
.
U_160_14
Zeta5Irrational
.
U_160_15
Zeta5Irrational
.
U_160_16
Zeta5Irrational
.
U_160
Zeta5Irrational
.
U_161_1
Zeta5Irrational
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U_161_2
Zeta5Irrational
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U_161_3
Zeta5Irrational
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U_161_4
Zeta5Irrational
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U_161_5
Zeta5Irrational
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U_161_6
Zeta5Irrational
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U_161_7
Zeta5Irrational
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U_161_8
Zeta5Irrational
.
U_161_9
Zeta5Irrational
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U_161_10
Zeta5Irrational
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U_161_11
Zeta5Irrational
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U_161_12
Zeta5Irrational
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U_161_13
Zeta5Irrational
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U_161_14
Zeta5Irrational
.
U_161_15
Zeta5Irrational
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U_161_16
Zeta5Irrational
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U_161
Zeta5Irrational
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U_162_1
Zeta5Irrational
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U_162_2
Zeta5Irrational
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U_162_3
Zeta5Irrational
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U_162_4
Zeta5Irrational
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U_162_5
Zeta5Irrational
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U_162_6
Zeta5Irrational
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U_162_7
Zeta5Irrational
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U_162_8
Zeta5Irrational
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U_162_9
Zeta5Irrational
.
U_162_10
Zeta5Irrational
.
U_162_11
Zeta5Irrational
.
U_162_12
Zeta5Irrational
.
U_162_13
Zeta5Irrational
.
U_162_14
Zeta5Irrational
.
U_162_15
Zeta5Irrational
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U_162_16
Zeta5Irrational
.
U_162
Zeta5Irrational
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U_163_1
Zeta5Irrational
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U_163_2
Zeta5Irrational
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U_163_3
Zeta5Irrational
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U_163_4
Zeta5Irrational
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U_163_5
Zeta5Irrational
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U_163_6
Zeta5Irrational
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U_163_7
Zeta5Irrational
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U_163_8
Zeta5Irrational
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U_163_9
Zeta5Irrational
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U_163_10
Zeta5Irrational
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U_163_11
Zeta5Irrational
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U_163_12
Zeta5Irrational
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U_163_13
Zeta5Irrational
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U_163_14
Zeta5Irrational
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U_163_15
Zeta5Irrational
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U_163_16
Zeta5Irrational
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U_163
Zeta5Irrational
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U_164_1
Zeta5Irrational
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U_164_2
Zeta5Irrational
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U_164_3
Zeta5Irrational
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U_164_4
Zeta5Irrational
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U_164_5
Zeta5Irrational
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U_164_6
Zeta5Irrational
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U_164_7
Zeta5Irrational
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U_164_8
Zeta5Irrational
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U_164_9
Zeta5Irrational
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U_164_10
Zeta5Irrational
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U_164_11
Zeta5Irrational
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U_164_12
Zeta5Irrational
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U_164_13
Zeta5Irrational
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U_164_14
Zeta5Irrational
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U_164_15
Zeta5Irrational
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U_164_16
Zeta5Irrational
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U_164
Zeta5Irrational
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U_165_1
Zeta5Irrational
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U_165_2
Zeta5Irrational
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U_165_3
Zeta5Irrational
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U_165_4
Zeta5Irrational
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U_165_5
Zeta5Irrational
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U_165_6
Zeta5Irrational
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U_165_7
Zeta5Irrational
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U_165_8
Zeta5Irrational
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U_165_9
Zeta5Irrational
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U_165_10
Zeta5Irrational
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U_165_11
Zeta5Irrational
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U_165_12
Zeta5Irrational
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U_165_13
Zeta5Irrational
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U_165_14
Zeta5Irrational
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U_165_15
Zeta5Irrational
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U_165_16
Zeta5Irrational
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U_165
Zeta5Irrational
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U_166_1
Zeta5Irrational
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U_166_2
Zeta5Irrational
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U_166_3
Zeta5Irrational
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U_166_4
Zeta5Irrational
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U_166_5
Zeta5Irrational
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U_166_6
Zeta5Irrational
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U_166_7
Zeta5Irrational
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U_166_8
Zeta5Irrational
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U_166_9
Zeta5Irrational
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U_166_10
Zeta5Irrational
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U_166_11
Zeta5Irrational
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U_166_12
Zeta5Irrational
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U_166_13
Zeta5Irrational
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U_166_14
Zeta5Irrational
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U_166_15
Zeta5Irrational
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U_166_16
Zeta5Irrational
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U_166
Zeta5Irrational
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U_167_1
Zeta5Irrational
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U_167_2
Zeta5Irrational
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U_167_3
Zeta5Irrational
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U_167_4
Zeta5Irrational
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U_167_5
Zeta5Irrational
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U_167_6
Zeta5Irrational
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U_167_7
Zeta5Irrational
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U_167_8
Zeta5Irrational
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U_167_9
Zeta5Irrational
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U_167_10
Zeta5Irrational
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U_167_11
Zeta5Irrational
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U_167_12
Zeta5Irrational
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U_167_13
Zeta5Irrational
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U_167_14
Zeta5Irrational
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U_167_15
Zeta5Irrational
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U_167_16
Zeta5Irrational
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U_167
Zeta5Irrational
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U_168_1
Zeta5Irrational
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U_168_2
Zeta5Irrational
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U_168_3
Zeta5Irrational
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U_168_4
Zeta5Irrational
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U_168_5
Zeta5Irrational
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U_168_6
Zeta5Irrational
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U_168_7
Zeta5Irrational
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U_168_8
Zeta5Irrational
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U_168_9
Zeta5Irrational
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U_168_10
Zeta5Irrational
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U_168_11
Zeta5Irrational
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U_168_12
Zeta5Irrational
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U_168_13
Zeta5Irrational
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U_168_14
Zeta5Irrational
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U_168_15
Zeta5Irrational
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U_168_16
Zeta5Irrational
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U_168
Zeta5Irrational
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U_169_1
Zeta5Irrational
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U_169_2
Zeta5Irrational
.
U_169_3
Zeta5Irrational
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U_169_4
Zeta5Irrational
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U_169_5
Zeta5Irrational
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U_169_6
Zeta5Irrational
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U_169_7
Zeta5Irrational
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U_169_8
Zeta5Irrational
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U_169_9
Zeta5Irrational
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U_169_10
Zeta5Irrational
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U_169_11
Zeta5Irrational
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U_169_12
Zeta5Irrational
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U_169_13
Zeta5Irrational
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U_169_14
Zeta5Irrational
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U_169_15
Zeta5Irrational
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U_169_16
Zeta5Irrational
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U_169
Zeta5Irrational
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U_170_1
Zeta5Irrational
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U_170_2
Zeta5Irrational
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U_170_3
Zeta5Irrational
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U_170_4
Zeta5Irrational
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U_170_5
Zeta5Irrational
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U_170_6
Zeta5Irrational
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U_170_7
Zeta5Irrational
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U_170_8
Zeta5Irrational
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U_170_9
Zeta5Irrational
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U_170_10
Zeta5Irrational
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U_170_11
Zeta5Irrational
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U_170_12
Zeta5Irrational
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U_170_13
Zeta5Irrational
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U_170_14
Zeta5Irrational
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U_170_15
Zeta5Irrational
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U_170_16
Zeta5Irrational
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U_170
Zeta5Irrational
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U_171_1
Zeta5Irrational
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U_171_2
Zeta5Irrational
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U_171_3
Zeta5Irrational
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U_171_4
Zeta5Irrational
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U_171_5
Zeta5Irrational
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U_171_6
Zeta5Irrational
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U_171_7
Zeta5Irrational
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U_171_8
Zeta5Irrational
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U_171_9
Zeta5Irrational
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U_171_10
Zeta5Irrational
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U_171_11
Zeta5Irrational
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U_171_12
Zeta5Irrational
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U_171_13
Zeta5Irrational
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U_171_14
Zeta5Irrational
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U_171_15
Zeta5Irrational
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U_171_16
Zeta5Irrational
.
U_171
Certified arcsine potential bounds (U13)
#
source
theorem
Zeta5Irrational
.
U_160_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
3519728384093
/
32000000000000
)
≤
-
(
22679308077571814145547
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_160_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
3519728384093
/
32000000000000
)
≤
-
(
22920417791434948469573
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_160_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
3519728384093
/
32000000000000
)
≤
-
(
23429892300799022833847
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_160_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
3519728384093
/
32000000000000
)
≤
-
(
24373512065536270100317
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_160_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
3519728384093
/
32000000000000
)
≤
-
(
26154357087978048520417
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_160_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
3519728384093
/
32000000000000
)
≤
-
(
30576880569535722827721
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_160_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
3519728384093
/
32000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_160_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
3519728384093
/
32000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_160_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
3519728384093
/
32000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_160_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
3519728384093
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_160_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
3519728384093
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_160_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
3519728384093
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_160_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
3519728384093
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_160_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
3519728384093
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_160_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
3519728384093
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_160_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
3519728384093
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_160
:
Uρ
(
3519728384093
/
32000000000000
)
≤
-
(
23235726291618061649999
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_161_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
7061879112973
/
64000000000000
)
≤
-
(
22645518540262755321593
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_161_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
7061879112973
/
64000000000000
)
≤
-
(
22885774473786439499311
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_161_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
7061879112973
/
64000000000000
)
≤
-
(
4678666681552500330723
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_161_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
7061879112973
/
64000000000000
)
≤
-
(
12166473716122874792837
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_161_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
7061879112973
/
64000000000000
)
≤
-
(
26104083312985725933909
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_161_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
7061879112973
/
64000000000000
)
≤
-
(
30474581016948763726831
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_161_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
7061879112973
/
64000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_161_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
7061879112973
/
64000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_161_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
7061879112973
/
64000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_161_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
7061879112973
/
64000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_161_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
7061879112973
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_161_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
7061879112973
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_161_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
7061879112973
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_161_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
7061879112973
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_161_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
7061879112973
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_161_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
7061879112973
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_161
:
Uρ
(
7061879112973
/
64000000000000
)
≤
-
(
725589995154055185789
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_162_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
44276884111
/
400000000000
)
≤
-
(
22611842825845109650421
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_162_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
44276884111
/
400000000000
)
≤
-
(
5712812751008120059167
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_162_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
44276884111
/
400000000000
)
≤
-
(
364951699124394211791
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_162_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
44276884111
/
400000000000
)
≤
-
(
12146275602580457198217
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_162_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
44276884111
/
400000000000
)
≤
-
(
26054086950097842529433
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_162_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
44276884111
/
400000000000
)
≤
-
(
7593519709594403117721
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_162_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
44276884111
/
400000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_162_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
44276884111
/
400000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_162_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
44276884111
/
400000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_162_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
44276884111
/
400000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_162_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
44276884111
/
400000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_162_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
44276884111
/
400000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_162_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
44276884111
/
400000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_162_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
44276884111
/
400000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_162_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
44276884111
/
400000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_162_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
44276884111
/
400000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_162
:
Uρ
(
44276884111
/
400000000000
)
≤
-
(
1450138413038403161583
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_163_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
7106723802547
/
64000000000000
)
≤
-
(
2822285021227761372561
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_163_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
7106723802547
/
64000000000000
)
≤
-
(
22816846554124106986407
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_163_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
7106723802547
/
64000000000000
)
≤
-
(
23320617319657831171039
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_163_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
7106723802547
/
64000000000000
)
≤
-
(
24252321955188649295791
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_163_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
7106723802547
/
64000000000000
)
≤
-
(
26004364686440584843293
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_163_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
7106723802547
/
64000000000000
)
≤
-
(
15137646071887000568089
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_163_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
7106723802547
/
64000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_163_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
7106723802547
/
64000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_163_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
7106723802547
/
64000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_163_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
7106723802547
/
64000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_163_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
7106723802547
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_163_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
7106723802547
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_163_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
7106723802547
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_163_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
7106723802547
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_163_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
7106723802547
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_163_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
7106723802547
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_163
:
Uρ
(
7106723802547
/
64000000000000
)
≤
-
(
23185723736921093732363
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_164_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
3564573073667
/
32000000000000
)
≤
-
(
4508965963075115482201
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_164_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
3564573073667
/
32000000000000
)
≤
-
(
2278256030458170454529
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_164_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
3564573073667
/
32000000000000
)
≤
-
(
23284458156104073445189
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_164_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
3564573073667
/
32000000000000
)
≤
-
(
2421225827178593245939
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_164_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
3564573073667
/
32000000000000
)
≤
-
(
5190982654415919228157
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_164_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
3564573073667
/
32000000000000
)
≤
-
(
30178145148616695910741
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_164_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
3564573073667
/
32000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_164_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
3564573073667
/
32000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_164_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
3564573073667
/
32000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_164_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
3564573073667
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_164_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
3564573073667
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_164_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
3564573073667
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_164_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
3564573073667
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_164_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
3564573073667
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_164_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
3564573073667
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_164_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
3564573073667
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_164
:
Uρ
(
3564573073667
/
32000000000000
)
≤
-
(
23169400871890508402437
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_165_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
7151568492121
/
64000000000000
)
≤
-
(
225114910132635713543
/
100000000000000000000
)
source
theorem
Zeta5Irrational
.
U_165_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
7151568492121
/
64000000000000
)
≤
-
(
11374195722188479028337
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_165_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
7151568492121
/
64000000000000
)
≤
-
(
23248430285377622815949
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_165_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
7151568492121
/
64000000000000
)
≤
-
(
24172358762633393102107
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_165_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
7151568492121
/
64000000000000
)
≤
-
(
25905729518360809311063
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_165_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
7151568492121
/
64000000000000
)
≤
-
(
30082567552000849825557
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_165_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
7151568492121
/
64000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_165_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
7151568492121
/
64000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_165_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
7151568492121
/
64000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_165_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
7151568492121
/
64000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_165_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
7151568492121
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_165_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
7151568492121
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_165_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
7151568492121
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_165_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
7151568492121
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_165_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
7151568492121
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_165_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
7151568492121
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_165
:
Uρ
(
7151568492121
/
64000000000000
)
≤
-
(
11576620047079105469959
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_166_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
1793497709227
/
16000000000000
)
≤
-
(
22478263021719406875639
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_166_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
1793497709227
/
16000000000000
)
≤
-
(
181714713366534310893
/
80000000000000000000
)
source
theorem
Zeta5Irrational
.
U_166_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
1793497709227
/
16000000000000
)
≤
-
(
2901566593777723928731
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_166_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
1793497709227
/
16000000000000
)
≤
-
(
12066311026658035428937
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_166_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
1793497709227
/
16000000000000
)
≤
-
(
12928405148153663752511
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_166_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
1793497709227
/
16000000000000
)
≤
-
(
14994246997006309491453
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_166_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
1793497709227
/
16000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_166_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
1793497709227
/
16000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_166_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
1793497709227
/
16000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_166_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
1793497709227
/
16000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_166_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
1793497709227
/
16000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_166_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
1793497709227
/
16000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_166_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
1793497709227
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_166_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
1793497709227
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_166_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
1793497709227
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_166_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
1793497709227
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_166
:
Uρ
(
1793497709227
/
16000000000000
)
≤
-
(
4627447176003051539293
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_167_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
1439282636339
/
12800000000000
)
≤
-
(
22445145106352584507421
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_167_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
1439282636339
/
12800000000000
)
≤
-
(
2835050336178665111439
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_167_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
1439282636339
/
12800000000000
)
≤
-
(
2317676460388831441057
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_167_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
1439282636339
/
12800000000000
)
≤
-
(
24093046787011313355059
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_167_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
1439282636339
/
12800000000000
)
≤
-
(
6452038133767527073457
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_167_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
1439282636339
/
12800000000000
)
≤
-
(
29895863580366005101939
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_167_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
1439282636339
/
12800000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_167_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
1439282636339
/
12800000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_167_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
1439282636339
/
12800000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_167_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
1439282636339
/
12800000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_167_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
1439282636339
/
12800000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_167_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
1439282636339
/
12800000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_167_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
1439282636339
/
12800000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_167_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
1439282636339
/
12800000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_167_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
1439282636339
/
12800000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_167_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
1439282636339
/
12800000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_167
:
Uρ
(
1439282636339
/
12800000000000
)
≤
-
(
11560691531889299496159
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_168_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
3609417763241
/
32000000000000
)
≤
-
(
22412136540051290770829
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_168_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
3609417763241
/
32000000000000
)
≤
-
(
22646581213851753936333
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_168_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
3609417763241
/
32000000000000
)
≤
-
(
23141124909983015902357
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_168_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
3609417763241
/
32000000000000
)
≤
-
(
12026815812091775261959
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_168_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
3609417763241
/
32000000000000
)
≤
-
(
12879876610215081971411
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_168_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
3609417763241
/
32000000000000
)
≤
-
(
7451154866094100783241
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_168_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
3609417763241
/
32000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_168_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
3609417763241
/
32000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_168_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
3609417763241
/
32000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_168_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
3609417763241
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_168_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
3609417763241
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_168_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
3609417763241
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_168_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
3609417763241
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_168_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
3609417763241
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_168_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
3609417763241
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_168_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
3609417763241
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_168
:
Uρ
(
3609417763241
/
32000000000000
)
≤
-
(
2310567680468791145093
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_169_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
7241257871269
/
64000000000000
)
≤
-
(
22379236602886479923973
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_169_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
7241257871269
/
64000000000000
)
≤
-
(
22612873965720201807563
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_169_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
7241257871269
/
64000000000000
)
≤
-
(
23105612742314276111357
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_169_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
7241257871269
/
64000000000000
)
≤
-
(
24014375242285785827619
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_169_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
7241257871269
/
64000000000000
)
≤
-
(
25711609393350256228287
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_169_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
7241257871269
/
64000000000000
)
≤
-
(
29714708478032058836987
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_169_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
7241257871269
/
64000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_169_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
7241257871269
/
64000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_169_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
7241257871269
/
64000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_169_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
7241257871269
/
64000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_169_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
7241257871269
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_169_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
7241257871269
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_169_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
7241257871269
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_169_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
7241257871269
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_169_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
7241257871269
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_169_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
7241257871269
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_169
:
Uρ
(
7241257871269
/
64000000000000
)
≤
-
(
23090112557678937190821
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_170_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
907960027007
/
8000000000000
)
≤
-
(
1396652786376097337059
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_170_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
907960027007
/
8000000000000
)
≤
-
(
22579280174561325422027
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_170_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
907960027007
/
8000000000000
)
≤
-
(
4614045436948869884133
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_170_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
907960027007
/
8000000000000
)
≤
-
(
1498454770966725311139
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_170_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
907960027007
/
8000000000000
)
≤
-
(
12831859074287055078487
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_170_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
907960027007
/
8000000000000
)
≤
-
(
29626080805288577062113
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_170_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
907960027007
/
8000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_170_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
907960027007
/
8000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_170_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
907960027007
/
8000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_170_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
907960027007
/
8000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_170_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
907960027007
/
8000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_170_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
907960027007
/
8000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_170_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
907960027007
/
8000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_170_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
907960027007
/
8000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_170_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
907960027007
/
8000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_170_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
907960027007
/
8000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_170
:
Uρ
(
907960027007
/
8000000000000
)
≤
-
(
23074686047490937971453
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_171_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
7286102560843
/
64000000000000
)
≤
-
(
2789219971449951260491
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_171_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
7286102560843
/
64000000000000
)
≤
-
(
11272899538842934213803
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_171_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
7286102560843
/
64000000000000
)
≤
-
(
23034967331043341839631
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_171_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
7286102560843
/
64000000000000
)
≤
-
(
11968166807144784725189
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_171_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
7286102560843
/
64000000000000
)
≤
-
(
25616076633271137021301
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_171_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
7286102560843
/
64000000000000
)
≤
-
(
29538689691821717904251
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_171_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
7286102560843
/
64000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_171_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
7286102560843
/
64000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_171_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
7286102560843
/
64000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_171_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
7286102560843
/
64000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_171_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
7286102560843
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_171_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
7286102560843
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_171_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
7286102560843
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_171_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
7286102560843
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_171_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
7286102560843
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_171_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
7286102560843
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_171
:
Uρ
(
7286102560843
/
64000000000000
)
≤
-
(
4611878649130685497723
/
2000000000000000000000
)