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.
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Zeta5Irrational
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U_172_1
Zeta5Irrational
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U_172_2
Zeta5Irrational
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U_172_3
Zeta5Irrational
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U_172_4
Zeta5Irrational
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U_172_5
Zeta5Irrational
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U_172_6
Zeta5Irrational
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U_172_7
Zeta5Irrational
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U_172_8
Zeta5Irrational
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U_172_9
Zeta5Irrational
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U_172_10
Zeta5Irrational
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U_172_11
Zeta5Irrational
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U_172_12
Zeta5Irrational
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U_172_13
Zeta5Irrational
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U_172_14
Zeta5Irrational
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U_172_15
Zeta5Irrational
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U_172_16
Zeta5Irrational
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U_172
Zeta5Irrational
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U_173_1
Zeta5Irrational
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U_173_2
Zeta5Irrational
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U_173_3
Zeta5Irrational
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U_173_4
Zeta5Irrational
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U_173_5
Zeta5Irrational
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U_173_6
Zeta5Irrational
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U_173_7
Zeta5Irrational
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U_173_8
Zeta5Irrational
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U_173_9
Zeta5Irrational
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U_173_10
Zeta5Irrational
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U_173_11
Zeta5Irrational
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U_173_12
Zeta5Irrational
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U_173_13
Zeta5Irrational
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U_173_14
Zeta5Irrational
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U_173_15
Zeta5Irrational
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U_173_16
Zeta5Irrational
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U_173
Zeta5Irrational
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U_174_1
Zeta5Irrational
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U_174_2
Zeta5Irrational
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U_174_3
Zeta5Irrational
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U_174_4
Zeta5Irrational
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U_174_5
Zeta5Irrational
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U_174_6
Zeta5Irrational
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U_174_7
Zeta5Irrational
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U_174_8
Zeta5Irrational
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U_174_9
Zeta5Irrational
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U_174_10
Zeta5Irrational
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U_174_11
Zeta5Irrational
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U_174_12
Zeta5Irrational
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U_174_13
Zeta5Irrational
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U_174_14
Zeta5Irrational
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U_174_15
Zeta5Irrational
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U_174_16
Zeta5Irrational
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U_174
Zeta5Irrational
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U_175_1
Zeta5Irrational
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U_175_2
Zeta5Irrational
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U_175_3
Zeta5Irrational
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U_175_4
Zeta5Irrational
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U_175_5
Zeta5Irrational
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U_175_6
Zeta5Irrational
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U_175_7
Zeta5Irrational
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U_175_8
Zeta5Irrational
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U_175_9
Zeta5Irrational
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U_175_10
Zeta5Irrational
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U_175_11
Zeta5Irrational
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U_175_12
Zeta5Irrational
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U_175_13
Zeta5Irrational
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U_175_14
Zeta5Irrational
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U_175_15
Zeta5Irrational
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U_175_16
Zeta5Irrational
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U_175
Zeta5Irrational
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U_176_1
Zeta5Irrational
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U_176_2
Zeta5Irrational
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U_176_3
Zeta5Irrational
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U_176_4
Zeta5Irrational
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U_176_5
Zeta5Irrational
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U_176_6
Zeta5Irrational
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U_176_7
Zeta5Irrational
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U_176_8
Zeta5Irrational
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U_176_9
Zeta5Irrational
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U_176_10
Zeta5Irrational
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U_176_11
Zeta5Irrational
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U_176_12
Zeta5Irrational
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U_176_13
Zeta5Irrational
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U_176_14
Zeta5Irrational
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U_176_15
Zeta5Irrational
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U_176_16
Zeta5Irrational
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U_176
Zeta5Irrational
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U_177_1
Zeta5Irrational
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U_177_2
Zeta5Irrational
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U_177_3
Zeta5Irrational
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U_177_4
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U_177_5
Zeta5Irrational
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U_177_6
Zeta5Irrational
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U_177_7
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U_177_8
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U_177_9
Zeta5Irrational
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U_177_10
Zeta5Irrational
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U_177_11
Zeta5Irrational
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U_177_12
Zeta5Irrational
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U_177_13
Zeta5Irrational
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U_177_14
Zeta5Irrational
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U_177_15
Zeta5Irrational
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U_177_16
Zeta5Irrational
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U_177
Zeta5Irrational
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U_178_1
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U_178_2
Zeta5Irrational
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U_178_3
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U_178_4
Zeta5Irrational
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U_178_5
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U_178_6
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U_178_7
Zeta5Irrational
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U_178_8
Zeta5Irrational
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U_178_9
Zeta5Irrational
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U_178_10
Zeta5Irrational
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U_178_11
Zeta5Irrational
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U_178_12
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U_178_13
Zeta5Irrational
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U_178_14
Zeta5Irrational
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U_178_15
Zeta5Irrational
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U_178_16
Zeta5Irrational
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U_178
Zeta5Irrational
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U_179_1
Zeta5Irrational
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U_179_2
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U_179_3
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U_179_4
Zeta5Irrational
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U_179_5
Zeta5Irrational
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U_179_6
Zeta5Irrational
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U_179_7
Zeta5Irrational
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U_179_8
Zeta5Irrational
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U_179_9
Zeta5Irrational
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U_179_10
Zeta5Irrational
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U_179_11
Zeta5Irrational
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U_179_12
Zeta5Irrational
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U_179_13
Zeta5Irrational
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U_179_14
Zeta5Irrational
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U_179_15
Zeta5Irrational
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U_179_16
Zeta5Irrational
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U_179
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U_180_1
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U_180_2
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U_180_3
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U_180_4
Zeta5Irrational
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U_180_5
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U_180_6
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U_180_7
Zeta5Irrational
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U_180_8
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U_180_9
Zeta5Irrational
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U_180_10
Zeta5Irrational
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U_180_11
Zeta5Irrational
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U_180_12
Zeta5Irrational
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U_180_13
Zeta5Irrational
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U_180_14
Zeta5Irrational
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U_180_15
Zeta5Irrational
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U_180_16
Zeta5Irrational
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U_180
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U_181_1
Zeta5Irrational
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U_181_2
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U_181_3
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U_181_4
Zeta5Irrational
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U_181_5
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U_181_6
Zeta5Irrational
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U_181_7
Zeta5Irrational
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U_181_8
Zeta5Irrational
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U_181_9
Zeta5Irrational
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U_181_10
Zeta5Irrational
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U_181_11
Zeta5Irrational
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U_181_12
Zeta5Irrational
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U_181_13
Zeta5Irrational
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U_181_14
Zeta5Irrational
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U_181_15
Zeta5Irrational
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U_181_16
Zeta5Irrational
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U_181
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U_182_1
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U_182_2
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U_182_3
Zeta5Irrational
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U_182_4
Zeta5Irrational
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U_182_5
Zeta5Irrational
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U_182_6
Zeta5Irrational
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U_182_7
Zeta5Irrational
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U_182_8
Zeta5Irrational
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U_182_9
Zeta5Irrational
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U_182_10
Zeta5Irrational
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U_182_11
Zeta5Irrational
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U_182_12
Zeta5Irrational
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U_182_13
Zeta5Irrational
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U_182_14
Zeta5Irrational
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U_182_15
Zeta5Irrational
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U_182_16
Zeta5Irrational
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U_182
Zeta5Irrational
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U_183_1
Zeta5Irrational
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U_183_2
Zeta5Irrational
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U_183_3
Zeta5Irrational
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U_183_4
Zeta5Irrational
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U_183_5
Zeta5Irrational
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U_183_6
Zeta5Irrational
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U_183_7
Zeta5Irrational
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U_183_8
Zeta5Irrational
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U_183_9
Zeta5Irrational
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U_183_10
Zeta5Irrational
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U_183_11
Zeta5Irrational
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U_183_12
Zeta5Irrational
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U_183_13
Zeta5Irrational
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U_183_14
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U_183_15
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U_183_16
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U_183
Certified arcsine potential bounds (U14)
#
source
theorem
Zeta5Irrational
.
U_172_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
730852490563
/
6400000000000
)
≤
-
(
22281181472692134742863
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_172_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
730852490563
/
6400000000000
)
≤
-
(
11256214960041973685579
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_172_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
730852490563
/
6400000000000
)
≤
-
(
1149991614237294033779
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_172_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
730852490563
/
6400000000000
)
≤
-
(
11948772902721880539821
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_172_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
730852490563
/
6400000000000
)
≤
-
(
199755328482226702363
/
78125000000000000000
)
source
theorem
Zeta5Irrational
.
U_172_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
730852490563
/
6400000000000
)
≤
-
(
1840780699148846481243
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_172_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
730852490563
/
6400000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_172_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
730852490563
/
6400000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_172_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
730852490563
/
6400000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_172_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
730852490563
/
6400000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_172_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
730852490563
/
6400000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_172_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
730852490563
/
6400000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_172_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
730852490563
/
6400000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_172_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
730852490563
/
6400000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_172_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
730852490563
/
6400000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_172_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
730852490563
/
6400000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_172
:
Uρ
(
730852490563
/
6400000000000
)
≤
-
(
23044230349968969239773
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_173_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
7330947250417
/
64000000000000
)
≤
-
(
22248708993169244456213
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_173_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
7330947250417
/
64000000000000
)
≤
-
(
22479171954322094534041
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_173_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
7330947250417
/
64000000000000
)
≤
-
(
22964821159010354163667
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_173_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
7330947250417
/
64000000000000
)
≤
-
(
23858911651480393246513
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_173_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
7330947250417
/
64000000000000
)
≤
-
(
204172253072514234181
/
80000000000000000000
)
source
theorem
Zeta5Irrational
.
U_173_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
7330947250417
/
64000000000000
)
≤
-
(
5873488781927654282487
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_173_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
7330947250417
/
64000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_173_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
7330947250417
/
64000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_173_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
7330947250417
/
64000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_173_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
7330947250417
/
64000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_173_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
7330947250417
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_173_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
7330947250417
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_173_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
7330947250417
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_173_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
7330947250417
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_173_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
7330947250417
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_173_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
7330947250417
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_173
:
Uρ
(
7330947250417
/
64000000000000
)
≤
-
(
23029193766167760068613
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_174_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
1838342398801
/
16000000000000
)
≤
-
(
888653665905254274529
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_174_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
1838342398801
/
16000000000000
)
≤
-
(
22446024440442051456091
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_174_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
1838342398801
/
16000000000000
)
≤
-
(
22929933076480730785293
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_174_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
1838342398801
/
16000000000000
)
≤
-
(
4764085982108051921477
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_174_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
1838342398801
/
16000000000000
)
≤
-
(
12737311347516656082539
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_174_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
1838342398801
/
16000000000000
)
≤
-
(
29283508847027304206383
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_174_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
1838342398801
/
16000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_174_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
1838342398801
/
16000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_174_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
1838342398801
/
16000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_174_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
1838342398801
/
16000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_174_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
1838342398801
/
16000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_174_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
1838342398801
/
16000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_174_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
1838342398801
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_174_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
1838342398801
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_174_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
1838342398801
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_174_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
1838342398801
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_174
:
Uρ
(
1838342398801
/
16000000000000
)
≤
-
(
23014280091458413181989
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_175_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
3699107142389
/
32000000000000
)
≤
-
(
22151919650023756881351
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_175_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
3699107142389
/
32000000000000
)
≤
-
(
11190028922637405674731
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_175_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
3699107142389
/
32000000000000
)
≤
-
(
11430261289115545831809
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_175_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
3699107142389
/
32000000000000
)
≤
-
(
23743918776680516836079
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_175_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
3699107142389
/
32000000000000
)
≤
-
(
5076303731562824760583
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_175_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
3699107142389
/
32000000000000
)
≤
-
(
14559415015712096654269
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_175_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
3699107142389
/
32000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_175_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
3699107142389
/
32000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_175_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
3699107142389
/
32000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_175_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
3699107142389
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_175_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
3699107142389
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_175_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
3699107142389
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_175_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
3699107142389
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_175_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
3699107142389
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_175_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
3699107142389
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_175_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
3699107142389
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_175
:
Uρ
(
3699107142389
/
32000000000000
)
≤
-
(
11492404364136263761547
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_176_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
465191185897
/
4000000000000
)
≤
-
(
22087910127931218969373
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_176_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
465191185897
/
4000000000000
)
≤
-
(
5578631090169752076037
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_176_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
465191185897
/
4000000000000
)
≤
-
(
22791593955763525787333
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_176_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
465191185897
/
4000000000000
)
≤
-
(
23668002770991622080457
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_176_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
465191185897
/
4000000000000
)
≤
-
(
6322337309009206611799
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_176_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
465191185897
/
4000000000000
)
≤
-
(
2895818328965296759049
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_176_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
465191185897
/
4000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_176_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
465191185897
/
4000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_176_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
465191185897
/
4000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_176_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
465191185897
/
4000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_176_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
465191185897
/
4000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_176_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
465191185897
/
4000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_176_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
465191185897
/
4000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_176_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
465191185897
/
4000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_176_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
465191185897
/
4000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_176_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
465191185897
/
4000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_176
:
Uρ
(
465191185897
/
4000000000000
)
≤
-
(
22955792340828882002671
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_177_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
3743951831963
/
32000000000000
)
≤
-
(
11012153915808991134077
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_177_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
3743951831963
/
32000000000000
)
≤
-
(
22249418326153667549627
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_177_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
3743951831963
/
32000000000000
)
≤
-
(
1136157025908839802787
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_177_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
3743951831963
/
32000000000000
)
≤
-
(
5898168123465075345177
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_177_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
3743951831963
/
32000000000000
)
≤
-
(
25198094437116484192507
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_177_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
3743951831963
/
32000000000000
)
≤
-
(
14400662417436316917723
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_177_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
3743951831963
/
32000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_177_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
3743951831963
/
32000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_177_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
3743951831963
/
32000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_177_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
3743951831963
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_177_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
3743951831963
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_177_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
3743951831963
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_177_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
3743951831963
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_177_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
3743951831963
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_177_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
3743951831963
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_177_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
3743951831963
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_177
:
Uρ
(
3743951831963
/
32000000000000
)
≤
-
(
716475289508359637971
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_178_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
15065496707
/
128000000000
)
≤
-
(
21961107610964149289349
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_178_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
15065496707
/
128000000000
)
≤
-
(
5546183547911107213653
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_178_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
15065496707
/
128000000000
)
≤
-
(
5663788928473910630479
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_178_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
15065496707
/
128000000000
)
≤
-
(
23517918771318664380059
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_178_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
15065496707
/
128000000000
)
≤
-
(
6276933735209036880089
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_178_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
15065496707
/
128000000000
)
≤
-
(
572960694532787081867
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_178_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
15065496707
/
128000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_178_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
15065496707
/
128000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_178_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
15065496707
/
128000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_178_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
15065496707
/
128000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_178_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
15065496707
/
128000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_178_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
15065496707
/
128000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_178_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
15065496707
/
128000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_178_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
15065496707
/
128000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_178_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
15065496707
/
128000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_178_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
15065496707
/
128000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_178
:
Uρ
(
15065496707
/
128000000000
)
≤
-
(
22899039784404335583777
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_179_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
3788796521537
/
32000000000000
)
≤
-
(
5474576103240136115701
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_179_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
3788796521537
/
32000000000000
)
≤
-
(
11060233257341866518873
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_179_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
3788796521537
/
32000000000000
)
≤
-
(
2258763312680448441801
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_179_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
3788796521537
/
32000000000000
)
≤
-
(
468874652954865998573
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_179_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
3788796521537
/
32000000000000
)
≤
-
(
2501825206824387380069
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_179_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
3788796521537
/
32000000000000
)
≤
-
(
14249056853658479258529
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_179_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
3788796521537
/
32000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_179_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
3788796521537
/
32000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_179_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
3788796521537
/
32000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_179_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
3788796521537
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_179_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
3788796521537
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_179_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
3788796521537
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_179_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
3788796521537
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_179_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
3788796521537
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_179_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
3788796521537
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_179_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
3788796521537
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_179
:
Uρ
(
3788796521537
/
32000000000000
)
≤
-
(
11435632942680119457883
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_180_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
952804716581
/
8000000000000
)
≤
-
(
5458973319820460563247
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_180_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
952804716581
/
8000000000000
)
≤
-
(
11028304978811575276189
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_180_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
952804716581
/
8000000000000
)
≤
-
(
11260283236257531228509
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_180_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
952804716581
/
8000000000000
)
≤
-
(
23370105378852098455103
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_180_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
952804716581
/
8000000000000
)
≤
-
(
99718511009526859259
/
40000000000000000000
)
source
theorem
Zeta5Irrational
.
U_180_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
952804716581
/
8000000000000
)
≤
-
(
7087845139958546029759
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_180_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
952804716581
/
8000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_180_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
952804716581
/
8000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_180_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
952804716581
/
8000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_180_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
952804716581
/
8000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_180_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
952804716581
/
8000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_180_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
952804716581
/
8000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_180_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
952804716581
/
8000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_180_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
952804716581
/
8000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_180_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
952804716581
/
8000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_180_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
952804716581
/
8000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_180
:
Uρ
(
952804716581
/
8000000000000
)
≤
-
(
5710967759615853715893
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_181_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
3833641211111
/
32000000000000
)
≤
-
(
21773869343935046491781
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_181_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
3833641211111
/
32000000000000
)
≤
-
(
21993159284954283541103
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_181_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
3833641211111
/
32000000000000
)
≤
-
(
11226974797381275692259
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_181_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
3833641211111
/
32000000000000
)
≤
-
(
1164851421249206849263
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_181_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
3833641211111
/
32000000000000
)
≤
-
(
24841844510715917490201
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_181_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
3833641211111
/
32000000000000
)
≤
-
(
28207669885361066139551
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_181_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
3833641211111
/
32000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_181_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
3833641211111
/
32000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_181_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
3833641211111
/
32000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_181_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
3833641211111
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_181_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
3833641211111
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_181_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
3833641211111
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_181_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
3833641211111
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_181_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
3833641211111
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_181_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
3833641211111
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_181_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
3833641211111
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_181
:
Uρ
(
3833641211111
/
32000000000000
)
≤
-
(
22816840024414922085761
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_182_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
1928031777949
/
16000000000000
)
≤
-
(
542805695774513738577
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_182_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
1928031777949
/
16000000000000
)
≤
-
(
10965054680357433308143
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_182_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
1928031777949
/
16000000000000
)
≤
-
(
22387776461924809992277
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_182_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
1928031777949
/
16000000000000
)
≤
-
(
11612246722324450860351
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_182_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
1928031777949
/
16000000000000
)
≤
-
(
6188721354787161308899
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_182_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
1928031777949
/
16000000000000
)
≤
-
(
14033415111008318688351
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_182_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
1928031777949
/
16000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_182_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
1928031777949
/
16000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_182_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
1928031777949
/
16000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_182_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
1928031777949
/
16000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_182_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
1928031777949
/
16000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_182_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
1928031777949
/
16000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_182_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
1928031777949
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_182_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
1928031777949
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_182_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
1928031777949
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_182_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
1928031777949
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_182
:
Uρ
(
1928031777949
/
16000000000000
)
≤
-
(
11395079391242920398171
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_183_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
121903382671
/
1000000000000
)
≤
-
(
431801468111400782417
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_183_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
121903382671
/
1000000000000
)
≤
-
(
10902595848206565310453
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_183_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
121903382671
/
1000000000000
)
≤
-
(
5564184476913954951537
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_183_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
121903382671
/
1000000000000
)
≤
-
(
23081016992543017206069
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_183_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
121903382671
/
1000000000000
)
≤
-
(
196666997090944639807
/
80000000000000000000
)
source
theorem
Zeta5Irrational
.
U_183_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
121903382671
/
1000000000000
)
≤
-
(
27793218382762658487643
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_183_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
121903382671
/
1000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_183_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
121903382671
/
1000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_183_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
121903382671
/
1000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_183_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
121903382671
/
1000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_183_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
121903382671
/
1000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_183_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
121903382671
/
1000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_183_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
121903382671
/
1000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_183_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
121903382671
/
1000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_183_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
121903382671
/
1000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_183_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
121903382671
/
1000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_183
:
Uρ
(
121903382671
/
1000000000000
)
≤
-
(
22737794411188599503227
/
10000000000000000000000
)