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.
Table
.
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LeanPool.Zeta5Irrational.Table.UpperCertificate
Imported by
Zeta5Irrational
.
U_64_1
Zeta5Irrational
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U_64_2
Zeta5Irrational
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U_64_3
Zeta5Irrational
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U_64_4
Zeta5Irrational
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U_64_5
Zeta5Irrational
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U_64_6
Zeta5Irrational
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U_64_7
Zeta5Irrational
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U_64_8
Zeta5Irrational
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U_64_9
Zeta5Irrational
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U_64_10
Zeta5Irrational
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U_64_11
Zeta5Irrational
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U_64_12
Zeta5Irrational
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U_64_13
Zeta5Irrational
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U_64_14
Zeta5Irrational
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U_64_15
Zeta5Irrational
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U_64_16
Zeta5Irrational
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U_64
Zeta5Irrational
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U_65_1
Zeta5Irrational
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U_65_2
Zeta5Irrational
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U_65_3
Zeta5Irrational
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U_65_4
Zeta5Irrational
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U_65_5
Zeta5Irrational
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U_65_6
Zeta5Irrational
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U_65_7
Zeta5Irrational
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U_65_8
Zeta5Irrational
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U_65_9
Zeta5Irrational
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U_65_10
Zeta5Irrational
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U_65_11
Zeta5Irrational
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U_65_12
Zeta5Irrational
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U_65_13
Zeta5Irrational
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U_65_14
Zeta5Irrational
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U_65_15
Zeta5Irrational
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U_65_16
Zeta5Irrational
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U_65
Zeta5Irrational
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U_66_1
Zeta5Irrational
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U_66_2
Zeta5Irrational
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U_66_3
Zeta5Irrational
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U_66_4
Zeta5Irrational
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U_66_5
Zeta5Irrational
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U_66_6
Zeta5Irrational
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U_66_7
Zeta5Irrational
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U_66_8
Zeta5Irrational
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U_66_9
Zeta5Irrational
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U_66_10
Zeta5Irrational
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U_66_11
Zeta5Irrational
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U_66_12
Zeta5Irrational
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U_66_13
Zeta5Irrational
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U_66_14
Zeta5Irrational
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U_66_15
Zeta5Irrational
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U_66_16
Zeta5Irrational
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U_66
Zeta5Irrational
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U_67_1
Zeta5Irrational
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U_67_2
Zeta5Irrational
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U_67_3
Zeta5Irrational
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U_67_4
Zeta5Irrational
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U_67_5
Zeta5Irrational
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U_67_6
Zeta5Irrational
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U_67_7
Zeta5Irrational
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U_67_8
Zeta5Irrational
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U_67_9
Zeta5Irrational
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U_67_10
Zeta5Irrational
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U_67_11
Zeta5Irrational
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U_67_12
Zeta5Irrational
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U_67_13
Zeta5Irrational
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U_67_14
Zeta5Irrational
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U_67_15
Zeta5Irrational
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U_67_16
Zeta5Irrational
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U_67
Zeta5Irrational
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U_68_1
Zeta5Irrational
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U_68_2
Zeta5Irrational
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U_68_3
Zeta5Irrational
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U_68_4
Zeta5Irrational
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U_68_5
Zeta5Irrational
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U_68_6
Zeta5Irrational
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U_68_7
Zeta5Irrational
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U_68_8
Zeta5Irrational
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U_68_9
Zeta5Irrational
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U_68_10
Zeta5Irrational
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U_68_11
Zeta5Irrational
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U_68_12
Zeta5Irrational
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U_68_13
Zeta5Irrational
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U_68_14
Zeta5Irrational
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U_68_15
Zeta5Irrational
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U_68_16
Zeta5Irrational
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U_68
Zeta5Irrational
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U_69_1
Zeta5Irrational
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U_69_2
Zeta5Irrational
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U_69_3
Zeta5Irrational
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U_69_4
Zeta5Irrational
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U_69_5
Zeta5Irrational
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U_69_6
Zeta5Irrational
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U_69_7
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U_69_8
Zeta5Irrational
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U_69_9
Zeta5Irrational
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U_69_10
Zeta5Irrational
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U_69_11
Zeta5Irrational
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U_69_12
Zeta5Irrational
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U_69_13
Zeta5Irrational
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U_69_14
Zeta5Irrational
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U_69_15
Zeta5Irrational
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U_69_16
Zeta5Irrational
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U_69
Zeta5Irrational
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U_70_1
Zeta5Irrational
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U_70_2
Zeta5Irrational
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U_70_3
Zeta5Irrational
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U_70_4
Zeta5Irrational
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U_70_5
Zeta5Irrational
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U_70_6
Zeta5Irrational
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U_70_7
Zeta5Irrational
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U_70_8
Zeta5Irrational
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U_70_9
Zeta5Irrational
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U_70_10
Zeta5Irrational
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U_70_11
Zeta5Irrational
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U_70_12
Zeta5Irrational
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U_70_13
Zeta5Irrational
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U_70_14
Zeta5Irrational
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U_70_15
Zeta5Irrational
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U_70_16
Zeta5Irrational
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U_70
Zeta5Irrational
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U_71_1
Zeta5Irrational
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U_71_2
Zeta5Irrational
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U_71_3
Zeta5Irrational
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U_71_4
Zeta5Irrational
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U_71_5
Zeta5Irrational
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U_71_6
Zeta5Irrational
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U_71_7
Zeta5Irrational
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U_71_8
Zeta5Irrational
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U_71_9
Zeta5Irrational
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U_71_10
Zeta5Irrational
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U_71_11
Zeta5Irrational
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U_71_12
Zeta5Irrational
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U_71_13
Zeta5Irrational
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U_71_14
Zeta5Irrational
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U_71_15
Zeta5Irrational
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U_71_16
Zeta5Irrational
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U_71
Zeta5Irrational
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U_72_1
Zeta5Irrational
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U_72_2
Zeta5Irrational
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U_72_3
Zeta5Irrational
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U_72_4
Zeta5Irrational
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U_72_5
Zeta5Irrational
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U_72_6
Zeta5Irrational
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U_72_7
Zeta5Irrational
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U_72_8
Zeta5Irrational
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U_72_9
Zeta5Irrational
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U_72_10
Zeta5Irrational
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U_72_11
Zeta5Irrational
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U_72_12
Zeta5Irrational
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U_72_13
Zeta5Irrational
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U_72_14
Zeta5Irrational
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U_72_15
Zeta5Irrational
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U_72_16
Zeta5Irrational
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U_72
Zeta5Irrational
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U_73_1
Zeta5Irrational
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U_73_2
Zeta5Irrational
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U_73_3
Zeta5Irrational
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U_73_4
Zeta5Irrational
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U_73_5
Zeta5Irrational
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U_73_6
Zeta5Irrational
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U_73_7
Zeta5Irrational
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U_73_8
Zeta5Irrational
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U_73_9
Zeta5Irrational
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U_73_10
Zeta5Irrational
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U_73_11
Zeta5Irrational
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U_73_12
Zeta5Irrational
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U_73_13
Zeta5Irrational
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U_73_14
Zeta5Irrational
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U_73_15
Zeta5Irrational
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U_73_16
Zeta5Irrational
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U_73
Zeta5Irrational
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U_74_1
Zeta5Irrational
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U_74_2
Zeta5Irrational
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U_74_3
Zeta5Irrational
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U_74_4
Zeta5Irrational
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U_74_5
Zeta5Irrational
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U_74_6
Zeta5Irrational
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U_74_7
Zeta5Irrational
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U_74_8
Zeta5Irrational
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U_74_9
Zeta5Irrational
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U_74_10
Zeta5Irrational
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U_74_11
Zeta5Irrational
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U_74_12
Zeta5Irrational
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U_74_13
Zeta5Irrational
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U_74_14
Zeta5Irrational
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U_74_15
Zeta5Irrational
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U_74_16
Zeta5Irrational
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U_74
Zeta5Irrational
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U_75_1
Zeta5Irrational
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U_75_2
Zeta5Irrational
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U_75_3
Zeta5Irrational
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U_75_4
Zeta5Irrational
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U_75_5
Zeta5Irrational
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U_75_6
Zeta5Irrational
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U_75_7
Zeta5Irrational
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U_75_8
Zeta5Irrational
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U_75_9
Zeta5Irrational
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U_75_10
Zeta5Irrational
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U_75_11
Zeta5Irrational
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U_75_12
Zeta5Irrational
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U_75_13
Zeta5Irrational
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U_75_14
Zeta5Irrational
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U_75_15
Zeta5Irrational
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U_75_16
Zeta5Irrational
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U_75
Certified arcsine potential bounds (U05)
#
source
theorem
Zeta5Irrational
.
U_64_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
944711264583
/
32000000000000
)
≤
-
(
18860822371165874400701
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_64_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
944711264583
/
32000000000000
)
≤
-
(
19517893536797811818607
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_64_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
944711264583
/
32000000000000
)
≤
-
(
21660038294705195113549
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_64_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
944711264583
/
32000000000000
)
≤
-
(
11449496158609380585237
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_64_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
944711264583
/
32000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_64_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
944711264583
/
32000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_64_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
944711264583
/
32000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_64_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
944711264583
/
32000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_64_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
944711264583
/
32000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_64_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
944711264583
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_64_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
944711264583
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_64_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
944711264583
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_64_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
944711264583
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_64_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
944711264583
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_64_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
944711264583
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_64_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
944711264583
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_64
:
Uρ
(
944711264583
/
32000000000000
)
≤
-
(
5502100664475844411457
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_65_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
59550060209
/
2000000000000
)
≤
-
(
37612010995240153131751
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_65_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
59550060209
/
2000000000000
)
≤
-
(
7781591291438441479693
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_65_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
59550060209
/
2000000000000
)
≤
-
(
43079747104388786598999
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_65_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
59550060209
/
2000000000000
)
≤
-
(
11449496158609380585237
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_65_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
59550060209
/
2000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_65_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
59550060209
/
2000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_65_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
59550060209
/
2000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_65_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
59550060209
/
2000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_65_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
59550060209
/
2000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_65_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
59550060209
/
2000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_65_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
59550060209
/
2000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_65_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
59550060209
/
2000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_65_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
59550060209
/
2000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_65_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
59550060209
/
2000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_65_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
59550060209
/
2000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_65_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
59550060209
/
2000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_65
:
Uρ
(
59550060209
/
2000000000000
)
≤
-
(
13747632336952287678791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_66_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
192178132421
/
6400000000000
)
≤
-
(
37503573233468039420779
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_66_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
192178132421
/
6400000000000
)
≤
-
(
4847727796490385371113
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_66_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
192178132421
/
6400000000000
)
≤
-
(
42847853324868564028227
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_66_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
192178132421
/
6400000000000
)
≤
-
(
11449496158609380585237
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_66_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
192178132421
/
6400000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_66_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
192178132421
/
6400000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_66_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
192178132421
/
6400000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_66_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
192178132421
/
6400000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_66_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
192178132421
/
6400000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_66_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
192178132421
/
6400000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_66_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
192178132421
/
6400000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_66_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
192178132421
/
6400000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_66_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
192178132421
/
6400000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_66_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
192178132421
/
6400000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_66_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
192178132421
/
6400000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_66_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
192178132421
/
6400000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_66
:
Uρ
(
192178132421
/
6400000000000
)
≤
-
(
13740225391654598492339
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_67_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
484490180433
/
16000000000000
)
≤
-
(
37396305496047393699967
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_67_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
484490180433
/
16000000000000
)
≤
-
(
19328669154765280711259
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_67_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
484490180433
/
16000000000000
)
≤
-
(
1704947106755531654199
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_67_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
484490180433
/
16000000000000
)
≤
-
(
11449496158609380585237
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_67_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
484490180433
/
16000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_67_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
484490180433
/
16000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_67_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
484490180433
/
16000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_67_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
484490180433
/
16000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_67_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
484490180433
/
16000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_67_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
484490180433
/
16000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_67_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
484490180433
/
16000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_67_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
484490180433
/
16000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_67_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
484490180433
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_67_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
484490180433
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_67_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
484490180433
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_67_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
484490180433
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_67
:
Uρ
(
484490180433
/
16000000000000
)
≤
-
(
27466029197992934502529
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_68_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
977070059627
/
32000000000000
)
≤
-
(
37290182662862082118669
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_68_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
977070059627
/
32000000000000
)
≤
-
(
19267229861265618418229
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_68_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
977070059627
/
32000000000000
)
≤
-
(
42406599719954955895771
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_68_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
977070059627
/
32000000000000
)
≤
-
(
11449496158609380585237
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_68_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
977070059627
/
32000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_68_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
977070059627
/
32000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_68_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
977070059627
/
32000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_68_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
977070059627
/
32000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_68_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
977070059627
/
32000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_68_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
977070059627
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_68_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
977070059627
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_68_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
977070059627
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_68_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
977070059627
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_68_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
977070059627
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_68_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
977070059627
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_68_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
977070059627
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_68
:
Uρ
(
977070059627
/
32000000000000
)
≤
-
(
27451971703722815927747
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_69_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
246289939597
/
8000000000000
)
≤
-
(
37185180418532968481481
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_69_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
246289939597
/
8000000000000
)
≤
-
(
4801642989010586665173
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_69_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
246289939597
/
8000000000000
)
≤
-
(
10549019659401938900341
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_69_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
246289939597
/
8000000000000
)
≤
-
(
11449496158609380585237
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_69_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
246289939597
/
8000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_69_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
246289939597
/
8000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_69_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
246289939597
/
8000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_69_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
246289939597
/
8000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_69_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
246289939597
/
8000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_69_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
246289939597
/
8000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_69_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
246289939597
/
8000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_69_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
246289939597
/
8000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_69_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
246289939597
/
8000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_69_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
246289939597
/
8000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_69_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
246289939597
/
8000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_69_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
246289939597
/
8000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_69
:
Uρ
(
246289939597
/
8000000000000
)
≤
-
(
27438253565757300111681
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_70_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
100133915591
/
3200000000000
)
≤
-
(
7395688851059352324481
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_70_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
100133915591
/
3200000000000
)
≤
-
(
3817503845189056183093
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_70_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
100133915591
/
3200000000000
)
≤
-
(
2612053898144625343839
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_70_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
100133915591
/
3200000000000
)
≤
-
(
11449496158609380585237
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_70_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
100133915591
/
3200000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_70_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
100133915591
/
3200000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_70_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
100133915591
/
3200000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_70_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
100133915591
/
3200000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_70_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
100133915591
/
3200000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_70_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
100133915591
/
3200000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_70_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
100133915591
/
3200000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_70_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
100133915591
/
3200000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_70_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
100133915591
/
3200000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_70_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
100133915591
/
3200000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_70_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
100133915591
/
3200000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_70_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
100133915591
/
3200000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_70
:
Uρ
(
100133915591
/
3200000000000
)
≤
-
(
685293759890628417919
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_71_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
127189819179
/
4000000000000
)
≤
-
(
18387958661588722880311
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_71_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
127189819179
/
4000000000000
)
≤
-
(
7588542707518441531123
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_71_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
127189819179
/
4000000000000
)
≤
-
(
1656433616878713809077
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_71_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
127189819179
/
4000000000000
)
≤
-
(
11449496158609380585237
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_71_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
127189819179
/
4000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_71_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
127189819179
/
4000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_71_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
127189819179
/
4000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_71_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
127189819179
/
4000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_71_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
127189819179
/
4000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_71_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
127189819179
/
4000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_71_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
127189819179
/
4000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_71_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
127189819179
/
4000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_71_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
127189819179
/
4000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_71_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
127189819179
/
4000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_71_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
127189819179
/
4000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_71_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
127189819179
/
4000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_71
:
Uρ
(
127189819179
/
4000000000000
)
≤
-
(
13693185907714144032147
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_72_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
516848975477
/
16000000000000
)
≤
-
(
36577430804916419226009
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_72_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
516848975477
/
16000000000000
)
≤
-
(
9428971103386477538939
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_72_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
516848975477
/
16000000000000
)
≤
-
(
41047467247559701779401
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_72_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
516848975477
/
16000000000000
)
≤
-
(
11449496158609380585237
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_72_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
516848975477
/
16000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_72_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
516848975477
/
16000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_72_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
516848975477
/
16000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_72_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
516848975477
/
16000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_72_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
516848975477
/
16000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_72_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
516848975477
/
16000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_72_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
516848975477
/
16000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_72_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
516848975477
/
16000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_72_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
516848975477
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_72_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
516848975477
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_72_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
516848975477
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_72_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
516848975477
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_72
:
Uρ
(
516848975477
/
16000000000000
)
≤
-
(
273619983663501507283
/
100000000000000000000
)
source
theorem
Zeta5Irrational
.
U_73_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
262469337119
/
8000000000000
)
≤
-
(
1455313035456262498261
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_73_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
262469337119
/
8000000000000
)
≤
-
(
9373571884890926660439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_73_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
262469337119
/
8000000000000
)
≤
-
(
8140134214423032915029
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_73_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
262469337119
/
8000000000000
)
≤
-
(
11449496158609380585237
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_73_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
262469337119
/
8000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_73_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
262469337119
/
8000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_73_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
262469337119
/
8000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_73_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
262469337119
/
8000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_73_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
262469337119
/
8000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_73_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
262469337119
/
8000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_73_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
262469337119
/
8000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_73_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
262469337119
/
8000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_73_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
262469337119
/
8000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_73_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
262469337119
/
8000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_73_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
262469337119
/
8000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_73_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
262469337119
/
8000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_73
:
Uρ
(
262469337119
/
8000000000000
)
≤
-
(
27338531661035234682497
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_74_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
6763975897
/
200000000000
)
≤
-
(
36004671011973596596201
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_74_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
6763975897
/
200000000000
)
≤
-
(
18532915025022758161627
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_74_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
6763975897
/
200000000000
)
≤
-
(
801004622320808228037
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_74_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
6763975897
/
200000000000
)
≤
-
(
11449496158609380585237
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_74_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
6763975897
/
200000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_74_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
6763975897
/
200000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_74_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
6763975897
/
200000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_74_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
6763975897
/
200000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_74_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
6763975897
/
200000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_74_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
6763975897
/
200000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_74_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
6763975897
/
200000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_74_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
6763975897
/
200000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_74_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
6763975897
/
200000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_74_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
6763975897
/
200000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_74_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
6763975897
/
200000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_74_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
6763975897
/
200000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_74
:
Uρ
(
6763975897
/
200000000000
)
≤
-
(
27294001523746580880381
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_75_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
278648734641
/
8000000000000
)
≤
-
(
35640354467824444665873
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_75_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
278648734641
/
8000000000000
)
≤
-
(
36655583055019159093507
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_75_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
278648734641
/
8000000000000
)
≤
-
(
19724394162041300263193
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_75_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
278648734641
/
8000000000000
)
≤
-
(
11449496158609380585237
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_75_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
278648734641
/
8000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_75_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
278648734641
/
8000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_75_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
278648734641
/
8000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_75_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
278648734641
/
8000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_75_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
278648734641
/
8000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_75_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
278648734641
/
8000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_75_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
278648734641
/
8000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_75_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
278648734641
/
8000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_75_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
278648734641
/
8000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_75_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
278648734641
/
8000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_75_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
278648734641
/
8000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_75_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
278648734641
/
8000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_75
:
Uρ
(
278648734641
/
8000000000000
)
≤
-
(
27252257261802753728461
/
10000000000000000000000
)