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.
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.
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LeanPool.Zeta5Irrational.Table.UpperCertificate
Imported by
Zeta5Irrational
.
U_76_1
Zeta5Irrational
.
U_76_2
Zeta5Irrational
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U_76_3
Zeta5Irrational
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U_76_4
Zeta5Irrational
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U_76_5
Zeta5Irrational
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U_76_6
Zeta5Irrational
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U_76_7
Zeta5Irrational
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U_76_8
Zeta5Irrational
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U_76_9
Zeta5Irrational
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U_76_10
Zeta5Irrational
.
U_76_11
Zeta5Irrational
.
U_76_12
Zeta5Irrational
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U_76_13
Zeta5Irrational
.
U_76_14
Zeta5Irrational
.
U_76_15
Zeta5Irrational
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U_76_16
Zeta5Irrational
.
U_76
Zeta5Irrational
.
U_77_1
Zeta5Irrational
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U_77_2
Zeta5Irrational
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U_77_3
Zeta5Irrational
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U_77_4
Zeta5Irrational
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U_77_5
Zeta5Irrational
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U_77_6
Zeta5Irrational
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U_77_7
Zeta5Irrational
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U_77_8
Zeta5Irrational
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U_77_9
Zeta5Irrational
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U_77_10
Zeta5Irrational
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U_77_11
Zeta5Irrational
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U_77_12
Zeta5Irrational
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U_77_13
Zeta5Irrational
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U_77_14
Zeta5Irrational
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U_77_15
Zeta5Irrational
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U_77_16
Zeta5Irrational
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U_77
Zeta5Irrational
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U_78_1
Zeta5Irrational
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U_78_2
Zeta5Irrational
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U_78_3
Zeta5Irrational
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U_78_4
Zeta5Irrational
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U_78_5
Zeta5Irrational
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U_78_6
Zeta5Irrational
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U_78_7
Zeta5Irrational
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U_78_8
Zeta5Irrational
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U_78_9
Zeta5Irrational
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U_78_10
Zeta5Irrational
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U_78_11
Zeta5Irrational
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U_78_12
Zeta5Irrational
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U_78_13
Zeta5Irrational
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U_78_14
Zeta5Irrational
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U_78_15
Zeta5Irrational
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U_78_16
Zeta5Irrational
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U_78
Zeta5Irrational
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U_79_1
Zeta5Irrational
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U_79_2
Zeta5Irrational
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U_79_3
Zeta5Irrational
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U_79_4
Zeta5Irrational
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U_79_5
Zeta5Irrational
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U_79_6
Zeta5Irrational
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U_79_7
Zeta5Irrational
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U_79_8
Zeta5Irrational
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U_79_9
Zeta5Irrational
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U_79_10
Zeta5Irrational
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U_79_11
Zeta5Irrational
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U_79_12
Zeta5Irrational
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U_79_13
Zeta5Irrational
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U_79_14
Zeta5Irrational
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U_79_15
Zeta5Irrational
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U_79_16
Zeta5Irrational
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U_79
Zeta5Irrational
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U_80_1
Zeta5Irrational
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U_80_2
Zeta5Irrational
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U_80_3
Zeta5Irrational
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U_80_4
Zeta5Irrational
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U_80_5
Zeta5Irrational
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U_80_6
Zeta5Irrational
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U_80_7
Zeta5Irrational
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U_80_8
Zeta5Irrational
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U_80_9
Zeta5Irrational
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U_80_10
Zeta5Irrational
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U_80_11
Zeta5Irrational
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U_80_12
Zeta5Irrational
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U_80_13
Zeta5Irrational
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U_80_14
Zeta5Irrational
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U_80_15
Zeta5Irrational
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U_80_16
Zeta5Irrational
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U_80
Zeta5Irrational
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U_81_1
Zeta5Irrational
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U_81_2
Zeta5Irrational
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U_81_3
Zeta5Irrational
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U_81_4
Zeta5Irrational
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U_81_5
Zeta5Irrational
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U_81_6
Zeta5Irrational
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U_81_7
Zeta5Irrational
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U_81_8
Zeta5Irrational
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U_81_9
Zeta5Irrational
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U_81_10
Zeta5Irrational
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U_81_11
Zeta5Irrational
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U_81_12
Zeta5Irrational
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U_81_13
Zeta5Irrational
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U_81_14
Zeta5Irrational
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U_81_15
Zeta5Irrational
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U_81_16
Zeta5Irrational
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U_81
Zeta5Irrational
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U_82_1
Zeta5Irrational
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U_82_2
Zeta5Irrational
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U_82_3
Zeta5Irrational
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U_82_4
Zeta5Irrational
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U_82_5
Zeta5Irrational
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U_82_6
Zeta5Irrational
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U_82_7
Zeta5Irrational
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U_82_8
Zeta5Irrational
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U_82_9
Zeta5Irrational
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U_82_10
Zeta5Irrational
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U_82_11
Zeta5Irrational
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U_82_12
Zeta5Irrational
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U_82_13
Zeta5Irrational
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U_82_14
Zeta5Irrational
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U_82_15
Zeta5Irrational
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U_82_16
Zeta5Irrational
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U_82
Zeta5Irrational
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U_83_1
Zeta5Irrational
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U_83_2
Zeta5Irrational
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U_83_3
Zeta5Irrational
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U_83_4
Zeta5Irrational
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U_83_5
Zeta5Irrational
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U_83_6
Zeta5Irrational
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U_83_7
Zeta5Irrational
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U_83_8
Zeta5Irrational
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U_83_9
Zeta5Irrational
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U_83_10
Zeta5Irrational
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U_83_11
Zeta5Irrational
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U_83_12
Zeta5Irrational
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U_83_13
Zeta5Irrational
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U_83_14
Zeta5Irrational
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U_83_15
Zeta5Irrational
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U_83_16
Zeta5Irrational
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U_83
Zeta5Irrational
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U_84_1
Zeta5Irrational
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U_84_2
Zeta5Irrational
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U_84_3
Zeta5Irrational
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U_84_4
Zeta5Irrational
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U_84_5
Zeta5Irrational
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U_84_6
Zeta5Irrational
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U_84_7
Zeta5Irrational
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U_84_8
Zeta5Irrational
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U_84_9
Zeta5Irrational
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U_84_10
Zeta5Irrational
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U_84_11
Zeta5Irrational
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U_84_12
Zeta5Irrational
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U_84_13
Zeta5Irrational
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U_84_14
Zeta5Irrational
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U_84_15
Zeta5Irrational
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U_84_16
Zeta5Irrational
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U_84
Zeta5Irrational
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U_85_1
Zeta5Irrational
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U_85_2
Zeta5Irrational
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U_85_3
Zeta5Irrational
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U_85_4
Zeta5Irrational
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U_85_5
Zeta5Irrational
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U_85_6
Zeta5Irrational
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U_85_7
Zeta5Irrational
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U_85_8
Zeta5Irrational
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U_85_9
Zeta5Irrational
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U_85_10
Zeta5Irrational
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U_85_11
Zeta5Irrational
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U_85_12
Zeta5Irrational
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U_85_13
Zeta5Irrational
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U_85_14
Zeta5Irrational
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U_85_15
Zeta5Irrational
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U_85_16
Zeta5Irrational
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U_85
Zeta5Irrational
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U_86_1
Zeta5Irrational
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U_86_2
Zeta5Irrational
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U_86_3
Zeta5Irrational
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U_86_4
Zeta5Irrational
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U_86_5
Zeta5Irrational
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U_86_6
Zeta5Irrational
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U_86_7
Zeta5Irrational
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U_86_8
Zeta5Irrational
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U_86_9
Zeta5Irrational
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U_86_10
Zeta5Irrational
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U_86_11
Zeta5Irrational
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U_86_12
Zeta5Irrational
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U_86_13
Zeta5Irrational
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U_86_14
Zeta5Irrational
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U_86_15
Zeta5Irrational
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U_86_16
Zeta5Irrational
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U_86
Zeta5Irrational
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U_87_1
Zeta5Irrational
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U_87_2
Zeta5Irrational
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U_87_3
Zeta5Irrational
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U_87_4
Zeta5Irrational
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U_87_5
Zeta5Irrational
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U_87_6
Zeta5Irrational
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U_87_7
Zeta5Irrational
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U_87_8
Zeta5Irrational
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U_87_9
Zeta5Irrational
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U_87_10
Zeta5Irrational
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U_87_11
Zeta5Irrational
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U_87_12
Zeta5Irrational
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U_87_13
Zeta5Irrational
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U_87_14
Zeta5Irrational
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U_87_15
Zeta5Irrational
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U_87_16
Zeta5Irrational
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U_87
Certified arcsine potential bounds (U06)
#
source
theorem
Zeta5Irrational
.
U_76_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
143369216701
/
4000000000000
)
≤
-
(
17644447654831053876417
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_76_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
143369216701
/
4000000000000
)
≤
-
(
36262016923645122436277
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_76_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
143369216701
/
4000000000000
)
≤
-
(
38888475953383457362861
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_76_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
143369216701
/
4000000000000
)
≤
-
(
11449496158609380585237
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_76_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
143369216701
/
4000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_76_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
143369216701
/
4000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_76_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
143369216701
/
4000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_76_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
143369216701
/
4000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_76_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
143369216701
/
4000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_76_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
143369216701
/
4000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_76_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
143369216701
/
4000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_76_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
143369216701
/
4000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_76_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
143369216701
/
4000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_76_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
143369216701
/
4000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_76_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
143369216701
/
4000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_76_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
143369216701
/
4000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_76
:
Uρ
(
143369216701
/
4000000000000
)
≤
-
(
27212905725500611600959
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_77_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
75729457731
/
2000000000000
)
≤
-
(
17310558705766996086987
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_77_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
75729457731
/
2000000000000
)
≤
-
(
17759863104573821333591
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_77_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
75729457731
/
2000000000000
)
≤
-
(
1893432330977563126623
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_77_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
75729457731
/
2000000000000
)
≤
-
(
11449496158609380585237
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_77_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
75729457731
/
2000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_77_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
75729457731
/
2000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_77_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
75729457731
/
2000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_77_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
75729457731
/
2000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_77_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
75729457731
/
2000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_77_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
75729457731
/
2000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_77_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
75729457731
/
2000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_77_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
75729457731
/
2000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_77_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
75729457731
/
2000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_77_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
75729457731
/
2000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_77_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
75729457731
/
2000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_77_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
75729457731
/
2000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_77
:
Uρ
(
75729457731
/
2000000000000
)
≤
-
(
5428044264104939481293
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_78_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
20954789123
/
500000000000
)
≤
-
(
16703211212357127756093
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_78_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
20954789123
/
500000000000
)
≤
-
(
8546436382655285391233
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_78_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
20954789123
/
500000000000
)
≤
-
(
36129596021937323314463
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_78_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
20954789123
/
500000000000
)
≤
-
(
11449496158609380585237
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_78_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
20954789123
/
500000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_78_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
20954789123
/
500000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_78_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
20954789123
/
500000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_78_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
20954789123
/
500000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_78_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
20954789123
/
500000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_78_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
20954789123
/
500000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_78_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
20954789123
/
500000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_78_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
20954789123
/
500000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_78_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
20954789123
/
500000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_78_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
20954789123
/
500000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_78_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
20954789123
/
500000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_78_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
20954789123
/
500000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_78
:
Uρ
(
20954789123
/
500000000000
)
≤
-
(
27013468316499378362551
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_79_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
694494763253
/
16000000000000
)
≤
-
(
8248019133811670168773
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_79_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
694494763253
/
16000000000000
)
≤
-
(
33734931655425398758109
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_79_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
694494763253
/
16000000000000
)
≤
-
(
17781582814941265651163
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_79_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
694494763253
/
16000000000000
)
≤
-
(
2625083115715732209859
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_79_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
694494763253
/
16000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_79_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
694494763253
/
16000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_79_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
694494763253
/
16000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_79_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
694494763253
/
16000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_79_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
694494763253
/
16000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_79_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
694494763253
/
16000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_79_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
694494763253
/
16000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_79_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
694494763253
/
16000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_79_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
694494763253
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_79_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
694494763253
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_79_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
694494763253
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_79_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
694494763253
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_79
:
Uρ
(
694494763253
/
16000000000000
)
≤
-
(
2675052424918429982301
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_80_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
1412931037823
/
32000000000000
)
≤
-
(
6558236691624471248019
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_80_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
1412931037823
/
32000000000000
)
≤
-
(
33517056778454642676983
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_80_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
1412931037823
/
32000000000000
)
≤
-
(
27572364292843690767
/
7812500000000000000
)
source
theorem
Zeta5Irrational
.
U_80_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
1412931037823
/
32000000000000
)
≤
-
(
20580854203499261973059
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_80_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
1412931037823
/
32000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_80_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
1412931037823
/
32000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_80_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
1412931037823
/
32000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_80_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
1412931037823
/
32000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_80_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
1412931037823
/
32000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_80_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
1412931037823
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_80_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
1412931037823
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_80_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
1412931037823
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_80_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
1412931037823
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_80_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
1412931037823
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_80_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
1412931037823
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_80_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
1412931037823
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_80
:
Uρ
(
1412931037823
/
32000000000000
)
≤
-
(
13340752815781598529229
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_81_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
71843627457
/
1600000000000
)
≤
-
(
3259425568664305827969
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_81_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
71843627457
/
1600000000000
)
≤
-
(
6660781429157999445921
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_81_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
71843627457
/
1600000000000
)
≤
-
(
35029836476419809769441
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_81_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
71843627457
/
1600000000000
)
≤
-
(
8091999804594550308781
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_81_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
71843627457
/
1600000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_81_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
71843627457
/
1600000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_81_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
71843627457
/
1600000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_81_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
71843627457
/
1600000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_81_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
71843627457
/
1600000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_81_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
71843627457
/
1600000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_81_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
71843627457
/
1600000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_81_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
71843627457
/
1600000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_81_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
71843627457
/
1600000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_81_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
71843627457
/
1600000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_81_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
71843627457
/
1600000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_81_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
71843627457
/
1600000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_81
:
Uρ
(
71843627457
/
1600000000000
)
≤
-
(
5324205551757644520397
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_82_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
2897686609597
/
64000000000000
)
≤
-
(
32497230363190579783231
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_82_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
2897686609597
/
64000000000000
)
≤
-
(
6639808015630789086519
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_82_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
2897686609597
/
64000000000000
)
≤
-
(
87253003056903595321
/
25000000000000000000
)
source
theorem
Zeta5Irrational
.
U_82_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
2897686609597
/
64000000000000
)
≤
-
(
20072167163996576495227
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_82_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
2897686609597
/
64000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_82_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
2897686609597
/
64000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_82_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
2897686609597
/
64000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_82_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
2897686609597
/
64000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_82_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
2897686609597
/
64000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_82_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
2897686609597
/
64000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_82_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
2897686609597
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_82_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
2897686609597
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_82_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
2897686609597
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_82_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
2897686609597
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_82_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
2897686609597
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_82_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
2897686609597
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_82
:
Uρ
(
2897686609597
/
64000000000000
)
≤
-
(
6648255242717957936621
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_83_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
1460814060457
/
32000000000000
)
≤
-
(
8100284844802228771499
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_83_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
1460814060457
/
32000000000000
)
≤
-
(
4136909867612453369687
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_83_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
1460814060457
/
32000000000000
)
≤
-
(
34774333175818615317637
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_83_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
1460814060457
/
32000000000000
)
≤
-
(
19923513604471120193173
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_83_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
1460814060457
/
32000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_83_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
1460814060457
/
32000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_83_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
1460814060457
/
32000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_83_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
1460814060457
/
32000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_83_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
1460814060457
/
32000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_83_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
1460814060457
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_83_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
1460814060457
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_83_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
1460814060457
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_83_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
1460814060457
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_83_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
1460814060457
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_83_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
1460814060457
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_83_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
1460814060457
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_83
:
Uρ
(
1460814060457
/
32000000000000
)
≤
-
(
26566200964288256233641
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_84_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
2945569632231
/
64000000000000
)
≤
-
(
16152982436976417664993
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_84_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
2945569632231
/
64000000000000
)
≤
-
(
16496300146835009040687
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_84_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
2945569632231
/
64000000000000
)
≤
-
(
34649181056232259045777
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_84_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
2945569632231
/
64000000000000
)
≤
-
(
494567863174717687381
/
125000000000000000000
)
source
theorem
Zeta5Irrational
.
U_84_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
2945569632231
/
64000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_84_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
2945569632231
/
64000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_84_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
2945569632231
/
64000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_84_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
2945569632231
/
64000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_84_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
2945569632231
/
64000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_84_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
2945569632231
/
64000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_84_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
2945569632231
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_84_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
2945569632231
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_84_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
2945569632231
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_84_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
2945569632231
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_84_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
2945569632231
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_84_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
2945569632231
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_84
:
Uρ
(
2945569632231
/
64000000000000
)
≤
-
(
26540410498328256391827
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_85_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
742377785887
/
16000000000000
)
≤
-
(
16105844747499819637607
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_85_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
742377785887
/
16000000000000
)
≤
-
(
8222745361049200402393
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_85_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
742377785887
/
16000000000000
)
≤
-
(
17262847949594570677381
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_85_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
742377785887
/
16000000000000
)
≤
-
(
7859495672749720896173
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_85_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
742377785887
/
16000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_85_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
742377785887
/
16000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_85_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
742377785887
/
16000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_85_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
742377785887
/
16000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_85_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
742377785887
/
16000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_85_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
742377785887
/
16000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_85_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
742377785887
/
16000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_85_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
742377785887
/
16000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_85_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
742377785887
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_85_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
742377785887
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_85_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
742377785887
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_85_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
742377785887
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_85
:
Uρ
(
742377785887
/
16000000000000
)
≤
-
(
6628881657870160769053
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_86_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
598690530973
/
12800000000000
)
≤
-
(
16059148189551546355899
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_86_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
598690530973
/
12800000000000
)
≤
-
(
1024700013012026515809
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_86_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
598690530973
/
12800000000000
)
≤
-
(
6880766185247015737031
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_86_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
598690530973
/
12800000000000
)
≤
-
(
39041532706513693929033
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_86_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
598690530973
/
12800000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_86_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
598690530973
/
12800000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_86_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
598690530973
/
12800000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_86_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
598690530973
/
12800000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_86_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
598690530973
/
12800000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_86_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
598690530973
/
12800000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_86_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
598690530973
/
12800000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_86_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
598690530973
/
12800000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_86_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
598690530973
/
12800000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_86_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
598690530973
/
12800000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_86_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
598690530973
/
12800000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_86_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
598690530973
/
12800000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_86
:
Uρ
(
598690530973
/
12800000000000
)
≤
-
(
26491450933863278184387
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_87_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
1508697083091
/
32000000000000
)
≤
-
(
6405153826788440415589
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_87_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
1508697083091
/
32000000000000
)
≤
-
(
6538167184020175693239
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_87_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
1508697083091
/
32000000000000
)
≤
-
(
34283541402370319659499
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_87_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
1508697083091
/
32000000000000
)
≤
-
(
1551850317616410832219
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_87_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
1508697083091
/
32000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_87_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
1508697083091
/
32000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_87_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
1508697083091
/
32000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_87_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
1508697083091
/
32000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_87_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
1508697083091
/
32000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_87_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
1508697083091
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_87_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
1508697083091
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_87_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
1508697083091
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_87_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
1508697083091
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_87_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
1508697083091
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_87_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
1508697083091
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_87_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
1508697083091
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_87
:
Uρ
(
1508697083091
/
32000000000000
)
≤
-
(
3308512879034082580067
/
1250000000000000000000
)