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.
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.
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LeanPool.Zeta5Irrational.Table.UpperCertificate
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Zeta5Irrational
.
U_124_1
Zeta5Irrational
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U_124_2
Zeta5Irrational
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U_124_3
Zeta5Irrational
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U_124_4
Zeta5Irrational
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U_124_5
Zeta5Irrational
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U_124_6
Zeta5Irrational
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U_124_7
Zeta5Irrational
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U_124_8
Zeta5Irrational
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U_124_9
Zeta5Irrational
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U_124_10
Zeta5Irrational
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U_124_11
Zeta5Irrational
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U_124_12
Zeta5Irrational
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U_124_13
Zeta5Irrational
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U_124_14
Zeta5Irrational
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U_124_15
Zeta5Irrational
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U_124_16
Zeta5Irrational
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U_124
Zeta5Irrational
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U_125_1
Zeta5Irrational
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U_125_2
Zeta5Irrational
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U_125_3
Zeta5Irrational
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U_125_4
Zeta5Irrational
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U_125_5
Zeta5Irrational
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U_125_6
Zeta5Irrational
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U_125_7
Zeta5Irrational
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U_125_8
Zeta5Irrational
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U_125_9
Zeta5Irrational
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U_125_10
Zeta5Irrational
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U_125_11
Zeta5Irrational
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U_125_12
Zeta5Irrational
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U_125_13
Zeta5Irrational
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U_125_14
Zeta5Irrational
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U_125_15
Zeta5Irrational
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U_125_16
Zeta5Irrational
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U_125
Zeta5Irrational
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U_126_1
Zeta5Irrational
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U_126_2
Zeta5Irrational
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U_126_3
Zeta5Irrational
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U_126_4
Zeta5Irrational
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U_126_5
Zeta5Irrational
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U_126_6
Zeta5Irrational
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U_126_7
Zeta5Irrational
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U_126_8
Zeta5Irrational
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U_126_9
Zeta5Irrational
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U_126_10
Zeta5Irrational
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U_126_11
Zeta5Irrational
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U_126_12
Zeta5Irrational
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U_126_13
Zeta5Irrational
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U_126_14
Zeta5Irrational
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U_126_15
Zeta5Irrational
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U_126_16
Zeta5Irrational
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U_126
Zeta5Irrational
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U_127_1
Zeta5Irrational
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U_127_2
Zeta5Irrational
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U_127_3
Zeta5Irrational
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U_127_4
Zeta5Irrational
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U_127_5
Zeta5Irrational
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U_127_6
Zeta5Irrational
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U_127_7
Zeta5Irrational
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U_127_8
Zeta5Irrational
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U_127_9
Zeta5Irrational
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U_127_10
Zeta5Irrational
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U_127_11
Zeta5Irrational
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U_127_12
Zeta5Irrational
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U_127_13
Zeta5Irrational
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U_127_14
Zeta5Irrational
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U_127_15
Zeta5Irrational
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U_127_16
Zeta5Irrational
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U_127
Zeta5Irrational
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U_128_1
Zeta5Irrational
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U_128_2
Zeta5Irrational
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U_128_3
Zeta5Irrational
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U_128_4
Zeta5Irrational
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U_128_5
Zeta5Irrational
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U_128_6
Zeta5Irrational
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U_128_7
Zeta5Irrational
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U_128_8
Zeta5Irrational
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U_128_9
Zeta5Irrational
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U_128_10
Zeta5Irrational
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U_128_11
Zeta5Irrational
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U_128_12
Zeta5Irrational
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U_128_13
Zeta5Irrational
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U_128_14
Zeta5Irrational
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U_128_15
Zeta5Irrational
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U_128_16
Zeta5Irrational
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U_128
Zeta5Irrational
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U_129_1
Zeta5Irrational
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U_129_2
Zeta5Irrational
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U_129_3
Zeta5Irrational
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U_129_4
Zeta5Irrational
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U_129_5
Zeta5Irrational
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U_129_6
Zeta5Irrational
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U_129_7
Zeta5Irrational
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U_129_8
Zeta5Irrational
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U_129_9
Zeta5Irrational
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U_129_10
Zeta5Irrational
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U_129_11
Zeta5Irrational
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U_129_12
Zeta5Irrational
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U_129_13
Zeta5Irrational
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U_129_14
Zeta5Irrational
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U_129_15
Zeta5Irrational
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U_129_16
Zeta5Irrational
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U_129
Zeta5Irrational
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U_130_1
Zeta5Irrational
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U_130_2
Zeta5Irrational
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U_130_3
Zeta5Irrational
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U_130_4
Zeta5Irrational
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U_130_5
Zeta5Irrational
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U_130_6
Zeta5Irrational
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U_130_7
Zeta5Irrational
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U_130_8
Zeta5Irrational
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U_130_9
Zeta5Irrational
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U_130_10
Zeta5Irrational
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U_130_11
Zeta5Irrational
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U_130_12
Zeta5Irrational
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U_130_13
Zeta5Irrational
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U_130_14
Zeta5Irrational
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U_130_15
Zeta5Irrational
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U_130_16
Zeta5Irrational
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U_130
Zeta5Irrational
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U_131_1
Zeta5Irrational
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U_131_2
Zeta5Irrational
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U_131_3
Zeta5Irrational
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U_131_4
Zeta5Irrational
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U_131_5
Zeta5Irrational
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U_131_6
Zeta5Irrational
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U_131_7
Zeta5Irrational
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U_131_8
Zeta5Irrational
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U_131_9
Zeta5Irrational
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U_131_10
Zeta5Irrational
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U_131_11
Zeta5Irrational
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U_131_12
Zeta5Irrational
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U_131_13
Zeta5Irrational
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U_131_14
Zeta5Irrational
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U_131_15
Zeta5Irrational
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U_131_16
Zeta5Irrational
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U_131
Zeta5Irrational
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U_132_1
Zeta5Irrational
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U_132_2
Zeta5Irrational
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U_132_3
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U_132_4
Zeta5Irrational
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U_132_5
Zeta5Irrational
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U_132_6
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U_132_7
Zeta5Irrational
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U_132_8
Zeta5Irrational
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U_132_9
Zeta5Irrational
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U_132_10
Zeta5Irrational
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U_132_11
Zeta5Irrational
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U_132_12
Zeta5Irrational
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U_132_13
Zeta5Irrational
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U_132_14
Zeta5Irrational
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U_132_15
Zeta5Irrational
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U_132_16
Zeta5Irrational
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U_132
Zeta5Irrational
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U_133_1
Zeta5Irrational
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U_133_2
Zeta5Irrational
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U_133_3
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U_133_4
Zeta5Irrational
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U_133_5
Zeta5Irrational
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U_133_6
Zeta5Irrational
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U_133_7
Zeta5Irrational
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U_133_8
Zeta5Irrational
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U_133_9
Zeta5Irrational
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U_133_10
Zeta5Irrational
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U_133_11
Zeta5Irrational
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U_133_12
Zeta5Irrational
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U_133_13
Zeta5Irrational
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U_133_14
Zeta5Irrational
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U_133_15
Zeta5Irrational
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U_133_16
Zeta5Irrational
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U_133
Zeta5Irrational
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U_134_1
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U_134_2
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U_134_3
Zeta5Irrational
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U_134_4
Zeta5Irrational
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U_134_5
Zeta5Irrational
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U_134_6
Zeta5Irrational
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U_134_7
Zeta5Irrational
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U_134_8
Zeta5Irrational
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U_134_9
Zeta5Irrational
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U_134_10
Zeta5Irrational
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U_134_11
Zeta5Irrational
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U_134_12
Zeta5Irrational
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U_134_13
Zeta5Irrational
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U_134_14
Zeta5Irrational
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U_134_15
Zeta5Irrational
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U_134_16
Zeta5Irrational
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U_134
Zeta5Irrational
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U_135_1
Zeta5Irrational
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U_135_2
Zeta5Irrational
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U_135_3
Zeta5Irrational
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U_135_4
Zeta5Irrational
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U_135_5
Zeta5Irrational
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U_135_6
Zeta5Irrational
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U_135_7
Zeta5Irrational
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U_135_8
Zeta5Irrational
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U_135_9
Zeta5Irrational
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U_135_10
Zeta5Irrational
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U_135_11
Zeta5Irrational
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U_135_12
Zeta5Irrational
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U_135_13
Zeta5Irrational
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U_135_14
Zeta5Irrational
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U_135_15
Zeta5Irrational
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U_135_16
Zeta5Irrational
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U_135
Certified arcsine potential bounds (U10)
#
source
theorem
Zeta5Irrational
.
U_124_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
9605987655299
/
128000000000000
)
≤
-
(
13399246969653145294021
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_124_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
9605987655299
/
128000000000000
)
≤
-
(
27171986109213034869943
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_124_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
9605987655299
/
128000000000000
)
≤
-
(
13994837736555882275651
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_124_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
9605987655299
/
128000000000000
)
≤
-
(
14819930885633522672703
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_124_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
9605987655299
/
128000000000000
)
≤
-
(
16906927768461829373233
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_124_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
9605987655299
/
128000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_124_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
9605987655299
/
128000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_124_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
9605987655299
/
128000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_124_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
9605987655299
/
128000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_124_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
9605987655299
/
128000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_124_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
9605987655299
/
128000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_124_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
9605987655299
/
128000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_124_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
9605987655299
/
128000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_124_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
9605987655299
/
128000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_124_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
9605987655299
/
128000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_124_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
9605987655299
/
128000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_124
:
Uρ
(
9605987655299
/
128000000000000
)
≤
-
(
24940524488693670762209
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_125_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
481980880181
/
6400000000000
)
≤
-
(
6690059962646030184617
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_125_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
481980880181
/
6400000000000
)
≤
-
(
1085287861694982018329
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_125_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
481980880181
/
6400000000000
)
≤
-
(
6986543959626957316373
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_125_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
481980880181
/
6400000000000
)
≤
-
(
1849188452354571814583
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_125_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
481980880181
/
6400000000000
)
≤
-
(
33714249304541786608363
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_125_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
481980880181
/
6400000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_125_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
481980880181
/
6400000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_125_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
481980880181
/
6400000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_125_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
481980880181
/
6400000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_125_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
481980880181
/
6400000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_125_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
481980880181
/
6400000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_125_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
481980880181
/
6400000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_125_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
481980880181
/
6400000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_125_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
481980880181
/
6400000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_125_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
481980880181
/
6400000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_125_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
481980880181
/
6400000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_125
:
Uρ
(
481980880181
/
6400000000000
)
≤
-
(
12463564729009360759451
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_126_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
9673247551941
/
128000000000000
)
≤
-
(
26722131641032751290407
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_126_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
9673247551941
/
128000000000000
)
≤
-
(
3386570678593159343237
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_126_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
9673247551941
/
128000000000000
)
≤
-
(
697571708901889533809
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_126_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
9673247551941
/
128000000000000
)
≤
-
(
2953446897992292134223
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_126_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
9673247551941
/
128000000000000
)
≤
-
(
6723237936362052732691
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_126_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
9673247551941
/
128000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_126_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
9673247551941
/
128000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_126_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
9673247551941
/
128000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_126_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
9673247551941
/
128000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_126_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
9673247551941
/
128000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_126_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
9673247551941
/
128000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_126_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
9673247551941
/
128000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_126_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
9673247551941
/
128000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_126_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
9673247551941
/
128000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_126_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
9673247551941
/
128000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_126_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
9673247551941
/
128000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_126
:
Uρ
(
9673247551941
/
128000000000000
)
≤
-
(
6228468283187341352323
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_127_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
4853438750131
/
64000000000000
)
≤
-
(
2668416820153121014947
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_127_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
4853438750131
/
64000000000000
)
≤
-
(
13526545752678102531631
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_127_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
4853438750131
/
64000000000000
)
≤
-
(
1392987565165561452741
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_127_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
4853438750131
/
64000000000000
)
≤
-
(
14741109681724341615633
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_127_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
4853438750131
/
64000000000000
)
≤
-
(
33519615797620916311619
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_127_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
4853438750131
/
64000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_127_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
4853438750131
/
64000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_127_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
4853438750131
/
64000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_127_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
4853438750131
/
64000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_127_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
4853438750131
/
64000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_127_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
4853438750131
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_127_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
4853438750131
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_127_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
4853438750131
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_127_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
4853438750131
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_127_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
4853438750131
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_127_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
4853438750131
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_127
:
Uρ
(
4853438750131
/
64000000000000
)
≤
-
(
24900750976102301112917
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_128_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
1221767174613
/
16000000000000
)
≤
-
(
5321734251810154824021
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_128_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
1221767174613
/
16000000000000
)
≤
-
(
26974610252730626450719
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_128_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
1221767174613
/
16000000000000
)
≤
-
(
27774081713696468351641
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_128_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
1221767174613
/
16000000000000
)
≤
-
(
14689297930419472306447
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_128_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
1221767174613
/
16000000000000
)
≤
-
(
33330701080104509943517
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_128_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
1221767174613
/
16000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_128_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
1221767174613
/
16000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_128_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
1221767174613
/
16000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_128_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
1221767174613
/
16000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_128_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
1221767174613
/
16000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_128_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
1221767174613
/
16000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_128_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
1221767174613
/
16000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_128_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
1221767174613
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_128_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
1221767174613
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_128_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
1221767174613
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_128_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
1221767174613
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_128
:
Uρ
(
1221767174613
/
16000000000000
)
≤
-
(
24874892383294093360151
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_129_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
4920698646773
/
64000000000000
)
≤
-
(
26533740398960545318349
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_129_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
4920698646773
/
64000000000000
)
≤
-
(
26896742978634930657697
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_129_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
4920698646773
/
64000000000000
)
≤
-
(
27689153753963773397029
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_129_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
4920698646773
/
64000000000000
)
≤
-
(
14638058503645561336247
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_129_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
4920698646773
/
64000000000000
)
≤
-
(
8286772710427584474673
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_129_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
4920698646773
/
64000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_129_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
4920698646773
/
64000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_129_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
4920698646773
/
64000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_129_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
4920698646773
/
64000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_129_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
4920698646773
/
64000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_129_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
4920698646773
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_129_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
4920698646773
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_129_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
4920698646773
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_129_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
4920698646773
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_129_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
4920698646773
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_129_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
4920698646773
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_129
:
Uρ
(
4920698646773
/
64000000000000
)
≤
-
(
12424761255821240445021
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_130_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
2477164297547
/
32000000000000
)
≤
-
(
5291873437976526183487
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_130_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
2477164297547
/
32000000000000
)
≤
-
(
26819480107653810847137
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_130_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
2477164297547
/
32000000000000
)
≤
-
(
13802477227999504398421
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_130_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
2477164297547
/
32000000000000
)
≤
-
(
5834951221022183615197
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_130_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
2477164297547
/
32000000000000
)
≤
-
(
8242104744242823723913
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_130_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
2477164297547
/
32000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_130_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
2477164297547
/
32000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_130_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
2477164297547
/
32000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_130_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
2477164297547
/
32000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_130_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
2477164297547
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_130_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
2477164297547
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_130_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
2477164297547
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_130_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
2477164297547
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_130_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
2477164297547
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_130_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
2477164297547
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_130_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
2477164297547
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_130
:
Uρ
(
2477164297547
/
32000000000000
)
≤
-
(
24824613604535232933069
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_131_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
997591708683
/
12800000000000
)
≤
-
(
26385543387535192161299
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_131_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
997591708683
/
12800000000000
)
≤
-
(
1069712491504947096903
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_131_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
997591708683
/
12800000000000
)
≤
-
(
27521471202141578539429
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_131_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
997591708683
/
12800000000000
)
≤
-
(
1453724371476601447869
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_131_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
997591708683
/
12800000000000
)
≤
-
(
32794360034669585926951
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_131_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
997591708683
/
12800000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_131_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
997591708683
/
12800000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_131_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
997591708683
/
12800000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_131_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
997591708683
/
12800000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_131_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
997591708683
/
12800000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_131_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
997591708683
/
12800000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_131_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
997591708683
/
12800000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_131_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
997591708683
/
12800000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_131_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
997591708683
/
12800000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_131_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
997591708683
/
12800000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_131_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
997591708683
/
12800000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_131
:
Uρ
(
997591708683
/
12800000000000
)
≤
-
(
49600281584509713859
/
20000000000000000000
)
source
theorem
Zeta5Irrational
.
U_132_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
627698561467
/
8000000000000
)
≤
-
(
5262452185846792494703
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_132_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
627698561467
/
8000000000000
)
≤
-
(
6666682595679150360093
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_132_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
627698561467
/
8000000000000
)
≤
-
(
3429836462828796430307
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_132_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
627698561467
/
8000000000000
)
≤
-
(
28975286180128640663519
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_132_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
627698561467
/
8000000000000
)
≤
-
(
32624623126546358520591
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_132_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
627698561467
/
8000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_132_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
627698561467
/
8000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_132_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
627698561467
/
8000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_132_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
627698561467
/
8000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_132_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
627698561467
/
8000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_132_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
627698561467
/
8000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_132_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
627698561467
/
8000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_132_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
627698561467
/
8000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_132_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
627698561467
/
8000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_132_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
627698561467
/
8000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_132_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
627698561467
/
8000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_132
:
Uρ
(
627698561467
/
8000000000000
)
≤
-
(
24776081667392410080527
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_133_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
5055218440057
/
64000000000000
)
≤
-
(
5247902385718883216969
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_133_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
5055218440057
/
64000000000000
)
≤
-
(
5318245093358236445799
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_133_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
5055218440057
/
64000000000000
)
≤
-
(
27356603986588711129289
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_133_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
5055218440057
/
64000000000000
)
≤
-
(
14438564217655403680117
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_133_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
5055218440057
/
64000000000000
)
≤
-
(
4057368370546522140043
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_133_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
5055218440057
/
64000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_133_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
5055218440057
/
64000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_133_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
5055218440057
/
64000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_133_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
5055218440057
/
64000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_133_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
5055218440057
/
64000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_133_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
5055218440057
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_133_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
5055218440057
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_133_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
5055218440057
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_133_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
5055218440057
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_133_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
5055218440057
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_133_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
5055218440057
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_133
:
Uρ
(
5055218440057
/
64000000000000
)
≤
-
(
24752415938931362015277
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_134_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
2544424194189
/
32000000000000
)
≤
-
(
26167288670425871360889
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_134_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
2544424194189
/
32000000000000
)
≤
-
(
26516288816997824638059
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_134_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
2544424194189
/
32000000000000
)
≤
-
(
2727519639092246926631
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_134_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
2544424194189
/
32000000000000
)
≤
-
(
28779991109665995308087
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_134_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
2544424194189
/
32000000000000
)
≤
-
(
16148547889847596668857
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_134_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
2544424194189
/
32000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_134_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
2544424194189
/
32000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_134_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
2544424194189
/
32000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_134_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
2544424194189
/
32000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_134_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
2544424194189
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_134_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
2544424194189
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_134_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
2544424194189
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_134_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
2544424194189
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_134_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
2544424194189
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_134_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
2544424194189
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_134_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
2544424194189
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_134
:
Uρ
(
2544424194189
/
32000000000000
)
≤
-
(
6182281286838750952367
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_135_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
5122478336699
/
64000000000000
)
≤
-
(
13047791802904571252103
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_135_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
5122478336699
/
64000000000000
)
≤
-
(
13220955953813518373719
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_135_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
5122478336699
/
64000000000000
)
≤
-
(
13597228774851769235177
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_135_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
5122478336699
/
64000000000000
)
≤
-
(
7170962978482870943403
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_135_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
5122478336699
/
64000000000000
)
≤
-
(
6427771188288008699121
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_135_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
5122478336699
/
64000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_135_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
5122478336699
/
64000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_135_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
5122478336699
/
64000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_135_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
5122478336699
/
64000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_135_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
5122478336699
/
64000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_135_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
5122478336699
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_135_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
5122478336699
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_135_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
5122478336699
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_135_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
5122478336699
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_135_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
5122478336699
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_135_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
5122478336699
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_135
:
Uρ
(
5122478336699
/
64000000000000
)
≤
-
(
3088274053514358657371
/
1250000000000000000000
)