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.
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.
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LeanPool.Zeta5Irrational.Table.UpperCertificate
Imported by
Zeta5Irrational
.
U_100_1
Zeta5Irrational
.
U_100_2
Zeta5Irrational
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U_100_3
Zeta5Irrational
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U_100_4
Zeta5Irrational
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U_100_5
Zeta5Irrational
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U_100_6
Zeta5Irrational
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U_100_7
Zeta5Irrational
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U_100_8
Zeta5Irrational
.
U_100_9
Zeta5Irrational
.
U_100_10
Zeta5Irrational
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U_100_11
Zeta5Irrational
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U_100_12
Zeta5Irrational
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U_100_13
Zeta5Irrational
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U_100_14
Zeta5Irrational
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U_100_15
Zeta5Irrational
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U_100_16
Zeta5Irrational
.
U_100
Zeta5Irrational
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U_101_1
Zeta5Irrational
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U_101_2
Zeta5Irrational
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U_101_3
Zeta5Irrational
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U_101_4
Zeta5Irrational
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U_101_5
Zeta5Irrational
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U_101_6
Zeta5Irrational
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U_101_7
Zeta5Irrational
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U_101_8
Zeta5Irrational
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U_101_9
Zeta5Irrational
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U_101_10
Zeta5Irrational
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U_101_11
Zeta5Irrational
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U_101_12
Zeta5Irrational
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U_101_13
Zeta5Irrational
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U_101_14
Zeta5Irrational
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U_101_15
Zeta5Irrational
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U_101_16
Zeta5Irrational
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U_101
Zeta5Irrational
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U_102_1
Zeta5Irrational
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U_102_2
Zeta5Irrational
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U_102_3
Zeta5Irrational
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U_102_4
Zeta5Irrational
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U_102_5
Zeta5Irrational
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U_102_6
Zeta5Irrational
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U_102_7
Zeta5Irrational
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U_102_8
Zeta5Irrational
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U_102_9
Zeta5Irrational
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U_102_10
Zeta5Irrational
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U_102_11
Zeta5Irrational
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U_102_12
Zeta5Irrational
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U_102_13
Zeta5Irrational
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U_102_14
Zeta5Irrational
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U_102_15
Zeta5Irrational
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U_102_16
Zeta5Irrational
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U_102
Zeta5Irrational
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U_103_1
Zeta5Irrational
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U_103_2
Zeta5Irrational
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U_103_3
Zeta5Irrational
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U_103_4
Zeta5Irrational
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U_103_5
Zeta5Irrational
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U_103_6
Zeta5Irrational
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U_103_7
Zeta5Irrational
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U_103_8
Zeta5Irrational
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U_103_9
Zeta5Irrational
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U_103_10
Zeta5Irrational
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U_103_11
Zeta5Irrational
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U_103_12
Zeta5Irrational
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U_103_13
Zeta5Irrational
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U_103_14
Zeta5Irrational
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U_103_15
Zeta5Irrational
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U_103_16
Zeta5Irrational
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U_103
Zeta5Irrational
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U_104_1
Zeta5Irrational
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U_104_2
Zeta5Irrational
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U_104_3
Zeta5Irrational
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U_104_4
Zeta5Irrational
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U_104_5
Zeta5Irrational
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U_104_6
Zeta5Irrational
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U_104_7
Zeta5Irrational
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U_104_8
Zeta5Irrational
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U_104_9
Zeta5Irrational
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U_104_10
Zeta5Irrational
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U_104_11
Zeta5Irrational
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U_104_12
Zeta5Irrational
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U_104_13
Zeta5Irrational
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U_104_14
Zeta5Irrational
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U_104_15
Zeta5Irrational
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U_104_16
Zeta5Irrational
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U_104
Zeta5Irrational
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U_105_1
Zeta5Irrational
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U_105_2
Zeta5Irrational
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U_105_3
Zeta5Irrational
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U_105_4
Zeta5Irrational
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U_105_5
Zeta5Irrational
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U_105_6
Zeta5Irrational
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U_105_7
Zeta5Irrational
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U_105_8
Zeta5Irrational
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U_105_9
Zeta5Irrational
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U_105_10
Zeta5Irrational
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U_105_11
Zeta5Irrational
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U_105_12
Zeta5Irrational
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U_105_13
Zeta5Irrational
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U_105_14
Zeta5Irrational
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U_105_15
Zeta5Irrational
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U_105_16
Zeta5Irrational
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U_105
Zeta5Irrational
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U_106_1
Zeta5Irrational
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U_106_2
Zeta5Irrational
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U_106_3
Zeta5Irrational
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U_106_4
Zeta5Irrational
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U_106_5
Zeta5Irrational
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U_106_6
Zeta5Irrational
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U_106_7
Zeta5Irrational
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U_106_8
Zeta5Irrational
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U_106_9
Zeta5Irrational
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U_106_10
Zeta5Irrational
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U_106_11
Zeta5Irrational
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U_106_12
Zeta5Irrational
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U_106_13
Zeta5Irrational
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U_106_14
Zeta5Irrational
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U_106_15
Zeta5Irrational
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U_106_16
Zeta5Irrational
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U_106
Zeta5Irrational
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U_107_1
Zeta5Irrational
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U_107_2
Zeta5Irrational
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U_107_3
Zeta5Irrational
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U_107_4
Zeta5Irrational
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U_107_5
Zeta5Irrational
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U_107_6
Zeta5Irrational
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U_107_7
Zeta5Irrational
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U_107_8
Zeta5Irrational
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U_107_9
Zeta5Irrational
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U_107_10
Zeta5Irrational
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U_107_11
Zeta5Irrational
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U_107_12
Zeta5Irrational
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U_107_13
Zeta5Irrational
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U_107_14
Zeta5Irrational
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U_107_15
Zeta5Irrational
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U_107_16
Zeta5Irrational
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U_107
Zeta5Irrational
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U_108_1
Zeta5Irrational
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U_108_2
Zeta5Irrational
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U_108_3
Zeta5Irrational
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U_108_4
Zeta5Irrational
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U_108_5
Zeta5Irrational
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U_108_6
Zeta5Irrational
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U_108_7
Zeta5Irrational
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U_108_8
Zeta5Irrational
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U_108_9
Zeta5Irrational
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U_108_10
Zeta5Irrational
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U_108_11
Zeta5Irrational
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U_108_12
Zeta5Irrational
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U_108_13
Zeta5Irrational
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U_108_14
Zeta5Irrational
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U_108_15
Zeta5Irrational
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U_108_16
Zeta5Irrational
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U_108
Zeta5Irrational
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U_109_1
Zeta5Irrational
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U_109_2
Zeta5Irrational
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U_109_3
Zeta5Irrational
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U_109_4
Zeta5Irrational
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U_109_5
Zeta5Irrational
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U_109_6
Zeta5Irrational
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U_109_7
Zeta5Irrational
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U_109_8
Zeta5Irrational
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U_109_9
Zeta5Irrational
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U_109_10
Zeta5Irrational
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U_109_11
Zeta5Irrational
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U_109_12
Zeta5Irrational
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U_109_13
Zeta5Irrational
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U_109_14
Zeta5Irrational
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U_109_15
Zeta5Irrational
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U_109_16
Zeta5Irrational
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U_109
Zeta5Irrational
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U_110_1
Zeta5Irrational
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U_110_2
Zeta5Irrational
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U_110_3
Zeta5Irrational
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U_110_4
Zeta5Irrational
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U_110_5
Zeta5Irrational
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U_110_6
Zeta5Irrational
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U_110_7
Zeta5Irrational
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U_110_8
Zeta5Irrational
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U_110_9
Zeta5Irrational
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U_110_10
Zeta5Irrational
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U_110_11
Zeta5Irrational
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U_110_12
Zeta5Irrational
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U_110_13
Zeta5Irrational
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U_110_14
Zeta5Irrational
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U_110_15
Zeta5Irrational
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U_110_16
Zeta5Irrational
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U_110
Zeta5Irrational
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U_111_1
Zeta5Irrational
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U_111_2
Zeta5Irrational
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U_111_3
Zeta5Irrational
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U_111_4
Zeta5Irrational
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U_111_5
Zeta5Irrational
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U_111_6
Zeta5Irrational
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U_111_7
Zeta5Irrational
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U_111_8
Zeta5Irrational
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U_111_9
Zeta5Irrational
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U_111_10
Zeta5Irrational
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U_111_11
Zeta5Irrational
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U_111_12
Zeta5Irrational
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U_111_13
Zeta5Irrational
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U_111_14
Zeta5Irrational
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U_111_15
Zeta5Irrational
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U_111_16
Zeta5Irrational
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U_111
Certified arcsine potential bounds (U08)
#
source
theorem
Zeta5Irrational
.
U_100_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
1700229173627
/
32000000000000
)
≤
-
(
30651298815258709468093
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_100_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
1700229173627
/
32000000000000
)
≤
-
(
78052365153972182917
/
25000000000000000000
)
source
theorem
Zeta5Irrational
.
U_100_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
1700229173627
/
32000000000000
)
≤
-
(
16271501953539078684187
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_100_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
1700229173627
/
32000000000000
)
≤
-
(
35764101527639732941787
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_100_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
1700229173627
/
32000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_100_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
1700229173627
/
32000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_100_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
1700229173627
/
32000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_100_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
1700229173627
/
32000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_100_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
1700229173627
/
32000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_100_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
1700229173627
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_100_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
1700229173627
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_100_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
1700229173627
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_100_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
1700229173627
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_100_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
1700229173627
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_100_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
1700229173627
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_100_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
1700229173627
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_100
:
Uρ
(
1700229173627
/
32000000000000
)
≤
-
(
408736191272622967401
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_101_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
107760667809
/
2000000000000
)
≤
-
(
3049206840087526189059
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_101_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
107760667809
/
2000000000000
)
≤
-
(
3881460057703866310033
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_101_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
107760667809
/
2000000000000
)
≤
-
(
126352851143046549433
/
39062500000000000000
)
source
theorem
Zeta5Irrational
.
U_101_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
107760667809
/
2000000000000
)
≤
-
(
2216324696954452647823
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_101_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
107760667809
/
2000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_101_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
107760667809
/
2000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_101_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
107760667809
/
2000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_101_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
107760667809
/
2000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_101_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
107760667809
/
2000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_101_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
107760667809
/
2000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_101_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
107760667809
/
2000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_101_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
107760667809
/
2000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_101_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
107760667809
/
2000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_101_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
107760667809
/
2000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_101_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
107760667809
/
2000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_101_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
107760667809
/
2000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_101
:
Uρ
(
107760667809
/
2000000000000
)
≤
-
(
13063189390197467979439
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_102_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
886026853789
/
16000000000000
)
≤
-
(
7545257017708016980781
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_102_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
886026853789
/
16000000000000
)
≤
-
(
30721594805733174632861
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_102_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
886026853789
/
16000000000000
)
≤
-
(
15982371816390557011147
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_102_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
886026853789
/
16000000000000
)
≤
-
(
34888585885879677851941
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_102_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
886026853789
/
16000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_102_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
886026853789
/
16000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_102_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
886026853789
/
16000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_102_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
886026853789
/
16000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_102_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
886026853789
/
16000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_102_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
886026853789
/
16000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_102_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
886026853789
/
16000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_102_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
886026853789
/
16000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_102_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
886026853789
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_102_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
886026853789
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_102_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
886026853789
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_102_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
886026853789
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_102
:
Uρ
(
886026853789
/
16000000000000
)
≤
-
(
26063668361683246214947
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_103_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
454984182553
/
8000000000000
)
≤
-
(
14939691773495747728407
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_103_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
454984182553
/
8000000000000
)
≤
-
(
7600539775674981056863
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_103_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
454984182553
/
8000000000000
)
≤
-
(
1974862208469201710963
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_103_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
454984182553
/
8000000000000
)
≤
-
(
17177194607766529470513
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_103_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
454984182553
/
8000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_103_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
454984182553
/
8000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_103_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
454984182553
/
8000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_103_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
454984182553
/
8000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_103_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
454984182553
/
8000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_103_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
454984182553
/
8000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_103_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
454984182553
/
8000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_103_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
454984182553
/
8000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_103_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
454984182553
/
8000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_103_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
454984182553
/
8000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_103_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
454984182553
/
8000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_103_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
454984182553
/
8000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_103
:
Uρ
(
454984182553
/
8000000000000
)
≤
-
(
26004234865315178925071
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_104_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
47892569387
/
800000000000
)
≤
-
(
3662765284919319541649
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_104_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
47892569387
/
800000000000
)
≤
-
(
3724076594691395072657
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_104_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
47892569387
/
800000000000
)
≤
-
(
6180690102931800358943
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_104_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
47892569387
/
800000000000
)
≤
-
(
33380218915095679924057
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_104_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
47892569387
/
800000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_104_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
47892569387
/
800000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_104_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
47892569387
/
800000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_104_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
47892569387
/
800000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_104_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
47892569387
/
800000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_104_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
47892569387
/
800000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_104_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
47892569387
/
800000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_104_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
47892569387
/
800000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_104_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
47892569387
/
800000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_104_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
47892569387
/
800000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_104_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
47892569387
/
800000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_104_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
47892569387
/
800000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_104
:
Uρ
(
47892569387
/
800000000000
)
≤
-
(
25893688140692916112373
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_105_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
502867205187
/
8000000000000
)
≤
-
(
7189101795739181296169
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_105_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
502867205187
/
8000000000000
)
≤
-
(
1826148073864402492947
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_105_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
502867205187
/
8000000000000
)
≤
-
(
1210229666652526991207
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_105_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
502867205187
/
8000000000000
)
≤
-
(
16253431555359706555137
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_105_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
502867205187
/
8000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_105_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
502867205187
/
8000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_105_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
502867205187
/
8000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_105_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
502867205187
/
8000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_105_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
502867205187
/
8000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_105_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
502867205187
/
8000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_105_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
502867205187
/
8000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_105_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
502867205187
/
8000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_105_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
502867205187
/
8000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_105_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
502867205187
/
8000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_105_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
502867205187
/
8000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_105_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
502867205187
/
8000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_105
:
Uρ
(
502867205187
/
8000000000000
)
≤
-
(
1289619184650899952501
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_106_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
65851089563
/
1000000000000
)
≤
-
(
28238965150618197558677
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_106_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
65851089563
/
1000000000000
)
≤
-
(
28675535425575934481119
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_106_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
65851089563
/
1000000000000
)
≤
-
(
29648629442586589394293
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_106_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
65851089563
/
1000000000000
)
≤
-
(
7928346505977301990569
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_106_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
65851089563
/
1000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_106_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
65851089563
/
1000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_106_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
65851089563
/
1000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_106_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
65851089563
/
1000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_106_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
65851089563
/
1000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_106_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
65851089563
/
1000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_106_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
65851089563
/
1000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_106_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
65851089563
/
1000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_106_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
65851089563
/
1000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_106_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
65851089563
/
1000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_106_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
65851089563
/
1000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_106_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
65851089563
/
1000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_106
:
Uρ
(
65851089563
/
1000000000000
)
≤
-
(
25698694525139896448587
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_107_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
2140864814337
/
32000000000000
)
≤
-
(
7015858174040562655969
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_107_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
2140864814337
/
32000000000000
)
≤
-
(
3561466998880705627953
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_107_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
2140864814337
/
32000000000000
)
≤
-
(
14722060556063304097267
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_107_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
2140864814337
/
32000000000000
)
≤
-
(
6290166566300702968681
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_107_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
2140864814337
/
32000000000000
)
≤
-
(
38623722698065706631519
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_107_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
2140864814337
/
32000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_107_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
2140864814337
/
32000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_107_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
2140864814337
/
32000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_107_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
2140864814337
/
32000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_107_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
2140864814337
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_107_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
2140864814337
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_107_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
2140864814337
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_107_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
2140864814337
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_107_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
2140864814337
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_107_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
2140864814337
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_107_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
2140864814337
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_107
:
Uρ
(
2140864814337
/
32000000000000
)
≤
-
(
12746317531850535099639
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_108_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
1087247381329
/
16000000000000
)
≤
-
(
13945465483393786464533
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_108_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
1087247381329
/
16000000000000
)
≤
-
(
14155637296061263611593
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_108_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
1087247381329
/
16000000000000
)
≤
-
(
29243820169079584143899
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_108_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
1087247381329
/
16000000000000
)
≤
-
(
31195782612954482994049
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_108_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
1087247381329
/
16000000000000
)
≤
-
(
1174524119975398790487
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_108_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
1087247381329
/
16000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_108_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
1087247381329
/
16000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_108_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
1087247381329
/
16000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_108_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
1087247381329
/
16000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_108_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
1087247381329
/
16000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_108_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
1087247381329
/
16000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_108_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
1087247381329
/
16000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_108_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
1087247381329
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_108_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
1087247381329
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_108_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
1087247381329
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_108_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
1087247381329
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_108
:
Uρ
(
1087247381329
/
16000000000000
)
≤
-
(
25390331102288743661441
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_109_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
2208124710979
/
32000000000000
)
≤
-
(
13860678498047024113487
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_109_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
2208124710979
/
32000000000000
)
≤
-
(
7033507858092569809221
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_109_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
2208124710979
/
32000000000000
)
≤
-
(
29047552827988840937373
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_109_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
2208124710979
/
32000000000000
)
≤
-
(
7736944871340474206587
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_109_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
2208124710979
/
32000000000000
)
≤
-
(
36793825325521051304251
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_109_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
2208124710979
/
32000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_109_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
2208124710979
/
32000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_109_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
2208124710979
/
32000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_109_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
2208124710979
/
32000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_109_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
2208124710979
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_109_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
2208124710979
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_109_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
2208124710979
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_109_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
2208124710979
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_109_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
2208124710979
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_109_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
2208124710979
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_109_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
2208124710979
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_109
:
Uρ
(
2208124710979
/
32000000000000
)
≤
-
(
5061171551165133003801
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_110_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
4449879370279
/
64000000000000
)
≤
-
(
3454704645218149241057
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_110_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
4449879370279
/
64000000000000
)
≤
-
(
28046581010402783172551
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_110_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
4449879370279
/
64000000000000
)
≤
-
(
28950880422802094840081
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_110_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
4449879370279
/
64000000000000
)
≤
-
(
30826290029214530827127
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_110_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
4449879370279
/
64000000000000
)
≤
-
(
36450498271319145357943
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_110_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
4449879370279
/
64000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_110_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
4449879370279
/
64000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_110_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
4449879370279
/
64000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_110_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
4449879370279
/
64000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_110_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
4449879370279
/
64000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_110_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
4449879370279
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_110_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
4449879370279
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_110_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
4449879370279
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_110_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
4449879370279
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_110_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
4449879370279
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_110_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
4449879370279
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_110
:
Uρ
(
4449879370279
/
64000000000000
)
≤
-
(
12633737911984751501131
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_111_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
22417546593
/
320000000000
)
≤
-
(
27554612974095860072559
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_111_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
22417546593
/
320000000000
)
≤
-
(
2795989308656552345633
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_111_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
22417546593
/
320000000000
)
≤
-
(
14427578041578170897611
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_111_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
22417546593
/
320000000000
)
≤
-
(
3838301319880865820711
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_111_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
22417546593
/
320000000000
)
≤
-
(
36132153701588461327473
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_111_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
22417546593
/
320000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_111_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
22417546593
/
320000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_111_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
22417546593
/
320000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_111_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
22417546593
/
320000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_111_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
22417546593
/
320000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_111_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
22417546593
/
320000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_111_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
22417546593
/
320000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_111_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
22417546593
/
320000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_111_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
22417546593
/
320000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_111_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
22417546593
/
320000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_111_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
22417546593
/
320000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_111
:
Uρ
(
22417546593
/
320000000000
)
≤
-
(
25230982823289889081561
/
10000000000000000000000
)