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Zeta5Irrational
.
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.
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LeanPool.Zeta5Irrational.Table.UpperCertificate
Imported by
Zeta5Irrational
.
U_112_1
Zeta5Irrational
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U_112_2
Zeta5Irrational
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U_112_3
Zeta5Irrational
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U_112_4
Zeta5Irrational
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U_112_5
Zeta5Irrational
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U_112_6
Zeta5Irrational
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U_112_7
Zeta5Irrational
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U_112_8
Zeta5Irrational
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U_112_9
Zeta5Irrational
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U_112_10
Zeta5Irrational
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U_112_11
Zeta5Irrational
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U_112_12
Zeta5Irrational
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U_112_13
Zeta5Irrational
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U_112_14
Zeta5Irrational
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U_112_15
Zeta5Irrational
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U_112_16
Zeta5Irrational
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U_112
Zeta5Irrational
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U_113_1
Zeta5Irrational
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U_113_2
Zeta5Irrational
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U_113_3
Zeta5Irrational
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U_113_4
Zeta5Irrational
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U_113_5
Zeta5Irrational
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U_113_6
Zeta5Irrational
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U_113_7
Zeta5Irrational
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U_113_8
Zeta5Irrational
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U_113_9
Zeta5Irrational
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U_113_10
Zeta5Irrational
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U_113_11
Zeta5Irrational
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U_113_12
Zeta5Irrational
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U_113_13
Zeta5Irrational
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U_113_14
Zeta5Irrational
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U_113_15
Zeta5Irrational
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U_113_16
Zeta5Irrational
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U_113
Zeta5Irrational
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U_114_1
Zeta5Irrational
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U_114_2
Zeta5Irrational
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U_114_3
Zeta5Irrational
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U_114_4
Zeta5Irrational
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U_114_5
Zeta5Irrational
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U_114_6
Zeta5Irrational
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U_114_7
Zeta5Irrational
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U_114_8
Zeta5Irrational
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U_114_9
Zeta5Irrational
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U_114_10
Zeta5Irrational
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U_114_11
Zeta5Irrational
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U_114_12
Zeta5Irrational
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U_114_13
Zeta5Irrational
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U_114_14
Zeta5Irrational
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U_114_15
Zeta5Irrational
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U_114_16
Zeta5Irrational
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U_114
Zeta5Irrational
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U_115_1
Zeta5Irrational
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U_115_2
Zeta5Irrational
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U_115_3
Zeta5Irrational
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U_115_4
Zeta5Irrational
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U_115_5
Zeta5Irrational
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U_115_6
Zeta5Irrational
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U_115_7
Zeta5Irrational
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U_115_8
Zeta5Irrational
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U_115_9
Zeta5Irrational
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U_115_10
Zeta5Irrational
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U_115_11
Zeta5Irrational
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U_115_12
Zeta5Irrational
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U_115_13
Zeta5Irrational
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U_115_14
Zeta5Irrational
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U_115_15
Zeta5Irrational
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U_115_16
Zeta5Irrational
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U_115
Zeta5Irrational
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U_116_1
Zeta5Irrational
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U_116_2
Zeta5Irrational
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U_116_3
Zeta5Irrational
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U_116_4
Zeta5Irrational
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U_116_5
Zeta5Irrational
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U_116_6
Zeta5Irrational
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U_116_7
Zeta5Irrational
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U_116_8
Zeta5Irrational
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U_116_9
Zeta5Irrational
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U_116_10
Zeta5Irrational
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U_116_11
Zeta5Irrational
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U_116_12
Zeta5Irrational
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U_116_13
Zeta5Irrational
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U_116_14
Zeta5Irrational
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U_116_15
Zeta5Irrational
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U_116_16
Zeta5Irrational
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U_116
Zeta5Irrational
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U_117_1
Zeta5Irrational
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U_117_2
Zeta5Irrational
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U_117_3
Zeta5Irrational
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U_117_4
Zeta5Irrational
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U_117_5
Zeta5Irrational
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U_117_6
Zeta5Irrational
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U_117_7
Zeta5Irrational
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U_117_8
Zeta5Irrational
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U_117_9
Zeta5Irrational
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U_117_10
Zeta5Irrational
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U_117_11
Zeta5Irrational
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U_117_12
Zeta5Irrational
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U_117_13
Zeta5Irrational
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U_117_14
Zeta5Irrational
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U_117_15
Zeta5Irrational
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U_117_16
Zeta5Irrational
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U_117
Zeta5Irrational
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U_118_1
Zeta5Irrational
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U_118_2
Zeta5Irrational
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U_118_3
Zeta5Irrational
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U_118_4
Zeta5Irrational
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U_118_5
Zeta5Irrational
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U_118_6
Zeta5Irrational
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U_118_7
Zeta5Irrational
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U_118_8
Zeta5Irrational
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U_118_9
Zeta5Irrational
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U_118_10
Zeta5Irrational
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U_118_11
Zeta5Irrational
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U_118_12
Zeta5Irrational
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U_118_13
Zeta5Irrational
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U_118_14
Zeta5Irrational
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U_118_15
Zeta5Irrational
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U_118_16
Zeta5Irrational
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U_118
Zeta5Irrational
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U_119_1
Zeta5Irrational
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U_119_2
Zeta5Irrational
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U_119_3
Zeta5Irrational
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U_119_4
Zeta5Irrational
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U_119_5
Zeta5Irrational
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U_119_6
Zeta5Irrational
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U_119_7
Zeta5Irrational
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U_119_8
Zeta5Irrational
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U_119_9
Zeta5Irrational
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U_119_10
Zeta5Irrational
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U_119_11
Zeta5Irrational
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U_119_12
Zeta5Irrational
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U_119_13
Zeta5Irrational
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U_119_14
Zeta5Irrational
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U_119_15
Zeta5Irrational
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U_119_16
Zeta5Irrational
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U_119
Zeta5Irrational
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U_120_1
Zeta5Irrational
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U_120_2
Zeta5Irrational
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U_120_3
Zeta5Irrational
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U_120_4
Zeta5Irrational
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U_120_5
Zeta5Irrational
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U_120_6
Zeta5Irrational
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U_120_7
Zeta5Irrational
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U_120_8
Zeta5Irrational
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U_120_9
Zeta5Irrational
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U_120_10
Zeta5Irrational
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U_120_11
Zeta5Irrational
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U_120_12
Zeta5Irrational
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U_120_13
Zeta5Irrational
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U_120_14
Zeta5Irrational
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U_120_15
Zeta5Irrational
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U_120_16
Zeta5Irrational
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U_120
Zeta5Irrational
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U_121_1
Zeta5Irrational
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U_121_2
Zeta5Irrational
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U_121_3
Zeta5Irrational
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U_121_4
Zeta5Irrational
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U_121_5
Zeta5Irrational
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U_121_6
Zeta5Irrational
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U_121_7
Zeta5Irrational
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U_121_8
Zeta5Irrational
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U_121_9
Zeta5Irrational
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U_121_10
Zeta5Irrational
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U_121_11
Zeta5Irrational
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U_121_12
Zeta5Irrational
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U_121_13
Zeta5Irrational
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U_121_14
Zeta5Irrational
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U_121_15
Zeta5Irrational
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U_121_16
Zeta5Irrational
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U_121
Zeta5Irrational
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U_122_1
Zeta5Irrational
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U_122_2
Zeta5Irrational
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U_122_3
Zeta5Irrational
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U_122_4
Zeta5Irrational
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U_122_5
Zeta5Irrational
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U_122_6
Zeta5Irrational
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U_122_7
Zeta5Irrational
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U_122_8
Zeta5Irrational
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U_122_9
Zeta5Irrational
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U_122_10
Zeta5Irrational
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U_122_11
Zeta5Irrational
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U_122_12
Zeta5Irrational
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U_122_13
Zeta5Irrational
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U_122_14
Zeta5Irrational
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U_122_15
Zeta5Irrational
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U_122_16
Zeta5Irrational
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U_122
Zeta5Irrational
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U_123_1
Zeta5Irrational
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U_123_2
Zeta5Irrational
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U_123_3
Zeta5Irrational
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U_123_4
Zeta5Irrational
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U_123_5
Zeta5Irrational
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U_123_6
Zeta5Irrational
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U_123_7
Zeta5Irrational
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U_123_8
Zeta5Irrational
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U_123_9
Zeta5Irrational
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U_123_10
Zeta5Irrational
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U_123_11
Zeta5Irrational
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U_123_12
Zeta5Irrational
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U_123_13
Zeta5Irrational
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U_123_14
Zeta5Irrational
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U_123_15
Zeta5Irrational
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U_123_16
Zeta5Irrational
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U_123
Certified arcsine potential bounds (U09)
#
source
theorem
Zeta5Irrational
.
U_112_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
4517139266921
/
64000000000000
)
≤
-
(
5494454591738893614821
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_112_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
4517139266921
/
64000000000000
)
≤
-
(
27873954405000162249769
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_112_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
4517139266921
/
64000000000000
)
≤
-
(
179752256073111659559
/
62500000000000000000
)
source
theorem
Zeta5Irrational
.
U_112_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
4517139266921
/
64000000000000
)
≤
-
(
15294047642102670013741
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_112_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
4517139266921
/
64000000000000
)
≤
-
(
35834287293306577019241
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_112_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
4517139266921
/
64000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_112_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
4517139266921
/
64000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_112_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
4517139266921
/
64000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_112_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
4517139266921
/
64000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_112_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
4517139266921
/
64000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_112_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
4517139266921
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_112_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
4517139266921
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_112_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
4517139266921
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_112_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
4517139266921
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_112_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
4517139266921
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_112_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
4517139266921
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_112
:
Uρ
(
4517139266921
/
64000000000000
)
≤
-
(
25196063800726208672673
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_113_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
2275384607621
/
32000000000000
)
≤
-
(
27390605922888495679481
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_113_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
2275384607621
/
32000000000000
)
≤
-
(
13894376027202381802373
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_113_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
2275384607621
/
32000000000000
)
≤
-
(
14333238409323982707187
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_113_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
2275384607621
/
32000000000000
)
≤
-
(
15235650232966056679897
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_113_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
2275384607621
/
32000000000000
)
≤
-
(
17776807122822487646779
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_113_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
2275384607621
/
32000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_113_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
2275384607621
/
32000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_113_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
2275384607621
/
32000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_113_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
2275384607621
/
32000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_113_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
2275384607621
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_113_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
2275384607621
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_113_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
2275384607621
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_113_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
2275384607621
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_113_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
2275384607621
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_113_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
2275384607621
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_113_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
2275384607621
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_113
:
Uρ
(
2275384607621
/
32000000000000
)
≤
-
(
5032497630608943774487
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_114_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
4584399163563
/
64000000000000
)
≤
-
(
853425029583273381449
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_114_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
4584399163563
/
64000000000000
)
≤
-
(
13852136729366462766811
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_114_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
4584399163563
/
64000000000000
)
≤
-
(
3571685737350867667193
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_114_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
4584399163563
/
64000000000000
)
≤
-
(
30355984291079358506601
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_114_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
4584399163563
/
64000000000000
)
≤
-
(
8821912704169286925593
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_114_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
4584399163563
/
64000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_114_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
4584399163563
/
64000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_114_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
4584399163563
/
64000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_114_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
4584399163563
/
64000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_114_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
4584399163563
/
64000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_114_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
4584399163563
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_114_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
4584399163563
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_114_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
4584399163563
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_114_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
4584399163563
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_114_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
4584399163563
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_114_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
4584399163563
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_114
:
Uρ
(
4584399163563
/
64000000000000
)
≤
-
(
25130080728420120270839
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_115_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
1154507277971
/
16000000000000
)
≤
-
(
13614623686929618077151
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_115_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
1154507277971
/
16000000000000
)
≤
-
(
27620506355407504983373
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_115_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
1154507277971
/
16000000000000
)
≤
-
(
28481371009729646648441
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_115_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
1154507277971
/
16000000000000
)
≤
-
(
15121053377842898206551
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_115_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
1154507277971
/
16000000000000
)
≤
-
(
8758616067257419857111
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_115_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
1154507277971
/
16000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_115_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
1154507277971
/
16000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_115_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
1154507277971
/
16000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_115_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
1154507277971
/
16000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_115_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
1154507277971
/
16000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_115_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
1154507277971
/
16000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_115_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
1154507277971
/
16000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_115_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
1154507277971
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_115_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
1154507277971
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_115_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
1154507277971
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_115_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
1154507277971
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_115
:
Uρ
(
1154507277971
/
16000000000000
)
≤
-
(
25098704554830257436931
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_116_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
930331812041
/
12800000000000
)
≤
-
(
6787383700929643976333
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_116_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
930331812041
/
12800000000000
)
≤
-
(
3442179850001808571531
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_116_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
930331812041
/
12800000000000
)
≤
-
(
14195057725500391424769
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_116_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
930331812041
/
12800000000000
)
≤
-
(
30129629557487540673771
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_116_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
930331812041
/
12800000000000
)
≤
-
(
34792515104179698616019
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_116_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
930331812041
/
12800000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_116_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
930331812041
/
12800000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_116_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
930331812041
/
12800000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_116_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
930331812041
/
12800000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_116_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
930331812041
/
12800000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_116_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
930331812041
/
12800000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_116_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
930331812041
/
12800000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_116_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
930331812041
/
12800000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_116_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
930331812041
/
12800000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_116_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
930331812041
/
12800000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_116_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
930331812041
/
12800000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_116
:
Uρ
(
930331812041
/
12800000000000
)
≤
-
(
25068249941190760208499
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_117_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
2342644504263
/
32000000000000
)
≤
-
(
13535226541398232719239
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_117_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
2342644504263
/
32000000000000
)
≤
-
(
6863764786365759850067
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_117_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
2342644504263
/
32000000000000
)
≤
-
(
14149851502271592942073
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_117_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
2342644504263
/
32000000000000
)
≤
-
(
30018515996535756825573
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_117_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
2342644504263
/
32000000000000
)
≤
-
(
34560553073273099210261
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_117_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
2342644504263
/
32000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_117_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
2342644504263
/
32000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_117_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
2342644504263
/
32000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_117_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
2342644504263
/
32000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_117_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
2342644504263
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_117_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
2342644504263
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_117_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
2342644504263
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_117_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
2342644504263
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_117_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
2342644504263
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_117_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
2342644504263
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_117_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
2342644504263
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_117
:
Uρ
(
2342644504263
/
32000000000000
)
≤
-
(
1001545091634398708323
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_118_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
9404207965373
/
128000000000000
)
≤
-
(
6757786420885346854021
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_118_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
9404207965373
/
128000000000000
)
≤
-
(
1096564948833060777743
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_118_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
9404207965373
/
128000000000000
)
≤
-
(
110370343779415330577
/
39062500000000000000
)
source
theorem
Zeta5Irrational
.
U_118_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
9404207965373
/
128000000000000
)
≤
-
(
1198538381065681381673
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_118_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
9404207965373
/
128000000000000
)
≤
-
(
34447987663370110448543
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_118_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
9404207965373
/
128000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_118_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
9404207965373
/
128000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_118_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
9404207965373
/
128000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_118_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
9404207965373
/
128000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_118_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
9404207965373
/
128000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_118_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
9404207965373
/
128000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_118_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
9404207965373
/
128000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_118_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
9404207965373
/
128000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_118_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
9404207965373
/
128000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_118_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
9404207965373
/
128000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_118_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
9404207965373
/
128000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_118
:
Uρ
(
9404207965373
/
128000000000000
)
≤
-
(
625602605153547579439
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_119_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
4718918956847
/
64000000000000
)
≤
-
(
26991992297169125119499
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_119_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
4718918956847
/
64000000000000
)
≤
-
(
27373356034580663451179
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_119_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
4718918956847
/
64000000000000
)
≤
-
(
28210117915897178442261
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_119_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
4718918956847
/
64000000000000
)
≤
-
(
29908730883182997431499
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_119_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
4718918956847
/
64000000000000
)
≤
-
(
34337546103835562865811
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_119_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
4718918956847
/
64000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_119_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
4718918956847
/
64000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_119_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
4718918956847
/
64000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_119_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
4718918956847
/
64000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_119_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
4718918956847
/
64000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_119_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
4718918956847
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_119_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
4718918956847
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_119_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
4718918956847
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_119_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
4718918956847
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_119_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
4718918956847
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_119_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
4718918956847
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_119
:
Uρ
(
4718918956847
/
64000000000000
)
≤
-
(
1563110136778042269237
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_120_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
1894293572403
/
25600000000000
)
≤
-
(
26952991720637376599691
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_120_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
1894293572403
/
25600000000000
)
≤
-
(
13666377355402748850127
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_120_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
1894293572403
/
25600000000000
)
≤
-
(
28165630829855142778867
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_120_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
1894293572403
/
25600000000000
)
≤
-
(
5970865177888741761793
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_120_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
1894293572403
/
25600000000000
)
≤
-
(
3422912528271636769997
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_120_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
1894293572403
/
25600000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_120_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
1894293572403
/
25600000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_120_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
1894293572403
/
25600000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_120_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
1894293572403
/
25600000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_120_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
1894293572403
/
25600000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_120_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
1894293572403
/
25600000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_120_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
1894293572403
/
25600000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_120_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
1894293572403
/
25600000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_120_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
1894293572403
/
25600000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_120_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
1894293572403
/
25600000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_120_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
1894293572403
/
25600000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_120
:
Uρ
(
1894293572403
/
25600000000000
)
≤
-
(
24995593741306154908533
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_121_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
297034306573
/
4000000000000
)
≤
-
(
6728535691238731355147
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_121_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
297034306573
/
4000000000000
)
≤
-
(
3411539798815513981353
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_121_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
297034306573
/
4000000000000
)
≤
-
(
7030336219103306552713
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_121_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
297034306573
/
4000000000000
)
≤
-
(
3725030056597356522343
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_121_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
297034306573
/
4000000000000
)
≤
-
(
682452605272557036629
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_121_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
297034306573
/
4000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_121_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
297034306573
/
4000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_121_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
297034306573
/
4000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_121_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
297034306573
/
4000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_121_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
297034306573
/
4000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_121_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
297034306573
/
4000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_121_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
297034306573
/
4000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_121_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
297034306573
/
4000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_121_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
297034306573
/
4000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_121_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
297034306573
/
4000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_121_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
297034306573
/
4000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_121
:
Uρ
(
297034306573
/
4000000000000
)
≤
-
(
24981591939352846305661
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_122_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
9538727758657
/
128000000000000
)
≤
-
(
26875444254963523057139
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_122_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
9538727758657
/
128000000000000
)
≤
-
(
27252045731424229280841
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_122_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
9538727758657
/
128000000000000
)
≤
-
(
28077258208867713837771
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_122_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
9538727758657
/
128000000000000
)
≤
-
(
14873235281136487034493
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_122_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
9538727758657
/
128000000000000
)
≤
-
(
6803594680306818344917
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_122_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
9538727758657
/
128000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_122_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
9538727758657
/
128000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_122_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
9538727758657
/
128000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_122_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
9538727758657
/
128000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_122_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
9538727758657
/
128000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_122_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
9538727758657
/
128000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_122_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
9538727758657
/
128000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_122_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
9538727758657
/
128000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_122_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
9538727758657
/
128000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_122_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
9538727758657
/
128000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_122_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
9538727758657
/
128000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_122
:
Uρ
(
9538727758657
/
128000000000000
)
≤
-
(
6241937591781720172913
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_123_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
4786178853489
/
64000000000000
)
≤
-
(
5367379005824790420369
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_123_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
4786178853489
/
64000000000000
)
≤
-
(
27211935407585621453431
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_123_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
4786178853489
/
64000000000000
)
≤
-
(
14016684503152133467349
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_123_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
4786178853489
/
64000000000000
)
≤
-
(
29693012286484085391417
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_123_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
4786178853489
/
64000000000000
)
≤
-
(
16957536789013437420659
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_123_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
4786178853489
/
64000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_123_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
4786178853489
/
64000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_123_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
4786178853489
/
64000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_123_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
4786178853489
/
64000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_123_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
4786178853489
/
64000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_123_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
4786178853489
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_123_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
4786178853489
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_123_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
4786178853489
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_123_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
4786178853489
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_123_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
4786178853489
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_123_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
4786178853489
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_123
:
Uρ
(
4786178853489
/
64000000000000
)
≤
-
(
311925788326356217817
/
125000000000000000000
)