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.
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.
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LeanPool.Zeta5Irrational.Table.UpperCertificate
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Zeta5Irrational
.
U_664_1
Zeta5Irrational
.
U_664_2
Zeta5Irrational
.
U_664_3
Zeta5Irrational
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U_664_4
Zeta5Irrational
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U_664_5
Zeta5Irrational
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U_664_6
Zeta5Irrational
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U_664_7
Zeta5Irrational
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U_664_8
Zeta5Irrational
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U_664_9
Zeta5Irrational
.
U_664_10
Zeta5Irrational
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U_664_11
Zeta5Irrational
.
U_664_12
Zeta5Irrational
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U_664_13
Zeta5Irrational
.
U_664_14
Zeta5Irrational
.
U_664_15
Zeta5Irrational
.
U_664_16
Zeta5Irrational
.
U_664
Zeta5Irrational
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U_665_1
Zeta5Irrational
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U_665_2
Zeta5Irrational
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U_665_3
Zeta5Irrational
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U_665_4
Zeta5Irrational
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U_665_5
Zeta5Irrational
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U_665_6
Zeta5Irrational
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U_665_7
Zeta5Irrational
.
U_665_8
Zeta5Irrational
.
U_665_9
Zeta5Irrational
.
U_665_10
Zeta5Irrational
.
U_665_11
Zeta5Irrational
.
U_665_12
Zeta5Irrational
.
U_665_13
Zeta5Irrational
.
U_665_14
Zeta5Irrational
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U_665_15
Zeta5Irrational
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U_665_16
Zeta5Irrational
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U_665
Zeta5Irrational
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U_666_1
Zeta5Irrational
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U_666_2
Zeta5Irrational
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U_666_3
Zeta5Irrational
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U_666_4
Zeta5Irrational
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U_666_5
Zeta5Irrational
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U_666_6
Zeta5Irrational
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U_666_7
Zeta5Irrational
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U_666_8
Zeta5Irrational
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U_666_9
Zeta5Irrational
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U_666_10
Zeta5Irrational
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U_666_11
Zeta5Irrational
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U_666_12
Zeta5Irrational
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U_666_13
Zeta5Irrational
.
U_666_14
Zeta5Irrational
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U_666_15
Zeta5Irrational
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U_666_16
Zeta5Irrational
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U_666
Zeta5Irrational
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U_667_1
Zeta5Irrational
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U_667_2
Zeta5Irrational
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U_667_3
Zeta5Irrational
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U_667_4
Zeta5Irrational
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U_667_5
Zeta5Irrational
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U_667_6
Zeta5Irrational
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U_667_7
Zeta5Irrational
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U_667_8
Zeta5Irrational
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U_667_9
Zeta5Irrational
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U_667_10
Zeta5Irrational
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U_667_11
Zeta5Irrational
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U_667_12
Zeta5Irrational
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U_667_13
Zeta5Irrational
.
U_667_14
Zeta5Irrational
.
U_667_15
Zeta5Irrational
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U_667_16
Zeta5Irrational
.
U_667
Zeta5Irrational
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U_668_1
Zeta5Irrational
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U_668_2
Zeta5Irrational
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U_668_3
Zeta5Irrational
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U_668_4
Zeta5Irrational
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U_668_5
Zeta5Irrational
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U_668_6
Zeta5Irrational
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U_668_7
Zeta5Irrational
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U_668_8
Zeta5Irrational
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U_668_9
Zeta5Irrational
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U_668_10
Zeta5Irrational
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U_668_11
Zeta5Irrational
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U_668_12
Zeta5Irrational
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U_668_13
Zeta5Irrational
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U_668_14
Zeta5Irrational
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U_668_15
Zeta5Irrational
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U_668_16
Zeta5Irrational
.
U_668
Zeta5Irrational
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U_669_1
Zeta5Irrational
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U_669_2
Zeta5Irrational
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U_669_3
Zeta5Irrational
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U_669_4
Zeta5Irrational
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U_669_5
Zeta5Irrational
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U_669_6
Zeta5Irrational
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U_669_7
Zeta5Irrational
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U_669_8
Zeta5Irrational
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U_669_9
Zeta5Irrational
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U_669_10
Zeta5Irrational
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U_669_11
Zeta5Irrational
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U_669_12
Zeta5Irrational
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U_669_13
Zeta5Irrational
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U_669_14
Zeta5Irrational
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U_669_15
Zeta5Irrational
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U_669_16
Zeta5Irrational
.
U_669
Zeta5Irrational
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U_670_1
Zeta5Irrational
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U_670_2
Zeta5Irrational
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U_670_3
Zeta5Irrational
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U_670_4
Zeta5Irrational
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U_670_5
Zeta5Irrational
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U_670_6
Zeta5Irrational
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U_670_7
Zeta5Irrational
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U_670_8
Zeta5Irrational
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U_670_9
Zeta5Irrational
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U_670_10
Zeta5Irrational
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U_670_11
Zeta5Irrational
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U_670_12
Zeta5Irrational
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U_670_13
Zeta5Irrational
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U_670_14
Zeta5Irrational
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U_670_15
Zeta5Irrational
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U_670_16
Zeta5Irrational
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U_670
Zeta5Irrational
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U_671_1
Zeta5Irrational
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U_671_2
Zeta5Irrational
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U_671_3
Zeta5Irrational
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U_671_4
Zeta5Irrational
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U_671_5
Zeta5Irrational
.
U_671_6
Zeta5Irrational
.
U_671_7
Zeta5Irrational
.
U_671_8
Zeta5Irrational
.
U_671_9
Zeta5Irrational
.
U_671_10
Zeta5Irrational
.
U_671_11
Zeta5Irrational
.
U_671_12
Zeta5Irrational
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U_671_13
Zeta5Irrational
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U_671_14
Zeta5Irrational
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U_671_15
Zeta5Irrational
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U_671_16
Zeta5Irrational
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U_671
Zeta5Irrational
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U_672_1
Zeta5Irrational
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U_672_2
Zeta5Irrational
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U_672_3
Zeta5Irrational
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U_672_4
Zeta5Irrational
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U_672_5
Zeta5Irrational
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U_672_6
Zeta5Irrational
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U_672_7
Zeta5Irrational
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U_672_8
Zeta5Irrational
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U_672_9
Zeta5Irrational
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U_672_10
Zeta5Irrational
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U_672_11
Zeta5Irrational
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U_672_12
Zeta5Irrational
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U_672_13
Zeta5Irrational
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U_672_14
Zeta5Irrational
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U_672_15
Zeta5Irrational
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U_672_16
Zeta5Irrational
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U_672
Zeta5Irrational
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U_673_1
Zeta5Irrational
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U_673_2
Zeta5Irrational
.
U_673_3
Zeta5Irrational
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U_673_4
Zeta5Irrational
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U_673_5
Zeta5Irrational
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U_673_6
Zeta5Irrational
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U_673_7
Zeta5Irrational
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U_673_8
Zeta5Irrational
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U_673_9
Zeta5Irrational
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U_673_10
Zeta5Irrational
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U_673_11
Zeta5Irrational
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U_673_12
Zeta5Irrational
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U_673_13
Zeta5Irrational
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U_673_14
Zeta5Irrational
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U_673_15
Zeta5Irrational
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U_673_16
Zeta5Irrational
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U_673
Zeta5Irrational
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U_674_1
Zeta5Irrational
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U_674_2
Zeta5Irrational
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U_674_3
Zeta5Irrational
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U_674_4
Zeta5Irrational
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U_674_5
Zeta5Irrational
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U_674_6
Zeta5Irrational
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U_674_7
Zeta5Irrational
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U_674_8
Zeta5Irrational
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U_674_9
Zeta5Irrational
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U_674_10
Zeta5Irrational
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U_674_11
Zeta5Irrational
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U_674_12
Zeta5Irrational
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U_674_13
Zeta5Irrational
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U_674_14
Zeta5Irrational
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U_674_15
Zeta5Irrational
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U_674_16
Zeta5Irrational
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U_674
Zeta5Irrational
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U_675_1
Zeta5Irrational
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U_675_2
Zeta5Irrational
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U_675_3
Zeta5Irrational
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U_675_4
Zeta5Irrational
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U_675_5
Zeta5Irrational
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U_675_6
Zeta5Irrational
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U_675_7
Zeta5Irrational
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U_675_8
Zeta5Irrational
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U_675_9
Zeta5Irrational
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U_675_10
Zeta5Irrational
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U_675_11
Zeta5Irrational
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U_675_12
Zeta5Irrational
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U_675_13
Zeta5Irrational
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U_675_14
Zeta5Irrational
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U_675_15
Zeta5Irrational
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U_675_16
Zeta5Irrational
.
U_675
Certified arcsine potential bounds (U55)
#
source
theorem
Zeta5Irrational
.
U_664_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
199912686621581
/
256000000000000
)
≤
-
(
1277964907620946027673
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_664_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
199912686621581
/
256000000000000
)
≤
-
(
103472765751352777257
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_664_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
199912686621581
/
256000000000000
)
≤
-
(
2648846011764422714851
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_664_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
199912686621581
/
256000000000000
)
≤
-
(
2752598967989138191723
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_664_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
199912686621581
/
256000000000000
)
≤
-
(
291237749004709474387
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_664_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
199912686621581
/
256000000000000
)
≤
-
(
3145329015573109930877
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_664_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
199912686621581
/
256000000000000
)
≤
-
(
3470509010608891617659
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_664_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
199912686621581
/
256000000000000
)
≤
-
(
1953955403703193484059
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_664_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
199912686621581
/
256000000000000
)
≤
-
(
4477459106514180083733
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_664_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
199912686621581
/
256000000000000
)
≤
-
(
1299476206458049317223
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_664_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
199912686621581
/
256000000000000
)
≤
-
(
6085421088558797644903
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_664_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
199912686621581
/
256000000000000
)
≤
-
(
3575650047906401257211
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_664_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
199912686621581
/
256000000000000
)
≤
-
(
4198484460239256737569
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_664_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
199912686621581
/
256000000000000
)
≤
-
(
1960132106122831270009
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_664_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
199912686621581
/
256000000000000
)
≤
-
(
225512837703902044943
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_664_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
199912686621581
/
256000000000000
)
≤
-
(
1253266360243979778637
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_664
:
Uρ
(
199912686621581
/
256000000000000
)
≤
-
(
4636648990333002156281
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_665_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
25145756165739
/
32000000000000
)
≤
-
(
249291082670160325427
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_665_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
25145756165739
/
32000000000000
)
≤
-
(
252360486208296023661
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_665_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
25145756165739
/
32000000000000
)
≤
-
(
2585236824123272191887
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_665_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
25145756165739
/
32000000000000
)
≤
-
(
1344160446545207092199
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_665_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
25145756165739
/
32000000000000
)
≤
-
(
355881058895171594713
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_665_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
25145756165739
/
32000000000000
)
≤
-
(
3078420738767238145273
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_665_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
25145756165739
/
32000000000000
)
≤
-
(
340129780488928500307
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_665_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
25145756165739
/
32000000000000
)
≤
-
(
3835406704026617134509
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_665_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
25145756165739
/
32000000000000
)
≤
-
(
4400294372036981046643
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_665_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
25145756165739
/
32000000000000
)
≤
-
(
2557073977047964558419
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_665_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
25145756165739
/
32000000000000
)
≤
-
(
5992249965690502151559
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_665_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
25145756165739
/
32000000000000
)
≤
-
(
1408879486035550407403
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_665_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
25145756165739
/
32000000000000
)
≤
-
(
4134674394368595173987
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_665_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
25145756165739
/
32000000000000
)
≤
-
(
9640365382064048121153
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_665_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
25145756165739
/
32000000000000
)
≤
-
(
442487964087878460311
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_665_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
25145756165739
/
32000000000000
)
≤
-
(
12243810141211648147373
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_665
:
Uρ
(
25145756165739
/
32000000000000
)
≤
-
(
4553883503740599041333
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_666_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
202419412030243
/
256000000000000
)
≤
-
(
2430286493772126347773
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_666_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
202419412030243
/
256000000000000
)
≤
-
(
49215753797925468473
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_666_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
202419412030243
/
256000000000000
)
≤
-
(
1261014871413616783293
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_666_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
202419412030243
/
256000000000000
)
≤
-
(
656113373712938037237
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_666_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
202419412030243
/
256000000000000
)
≤
-
(
1391071934225770335259
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_666_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
202419412030243
/
256000000000000
)
≤
-
(
1505979082273865270421
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_666_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
202419412030243
/
256000000000000
)
≤
-
(
208285297068072753121
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_666_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
202419412030243
/
256000000000000
)
≤
-
(
37634301630337236271
/
100000000000000000000
)
source
theorem
Zeta5Irrational
.
U_666_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
202419412030243
/
256000000000000
)
≤
-
(
864746693025047178221
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_666_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
202419412030243
/
256000000000000
)
≤
-
(
31444476630483468137
/
62500000000000000000
)
source
theorem
Zeta5Irrational
.
U_666_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
202419412030243
/
256000000000000
)
≤
-
(
2950003497771861187207
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_666_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
202419412030243
/
256000000000000
)
≤
-
(
3469394193332567164563
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_666_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
202419412030243
/
256000000000000
)
≤
-
(
8143751499644154206229
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_666_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
202419412030243
/
256000000000000
)
≤
-
(
9483755677962245212443
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_666_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
202419412030243
/
256000000000000
)
≤
-
(
5428388530800015652507
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_666_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
202419412030243
/
256000000000000
)
≤
-
(
748334846524065932333
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_666
:
Uρ
(
202419412030243
/
256000000000000
)
≤
-
(
4472242976673732246981
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_667_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
101836387367287
/
128000000000000
)
≤
-
(
1184025952061820073691
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_667_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
101836387367287
/
128000000000000
)
≤
-
(
149897666808250901199
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_667_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
101836387367287
/
128000000000000
)
≤
-
(
2459219715338930544141
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_667_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
101836387367287
/
128000000000000
)
≤
-
(
2560991557050394938723
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_667_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
101836387367287
/
128000000000000
)
≤
-
(
1358829098960116310293
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_667_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
101836387367287
/
128000000000000
)
≤
-
(
2945935381077970403423
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_667_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
101836387367287
/
128000000000000
)
≤
-
(
130572130440057185229
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_667_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
101836387367287
/
128000000000000
)
≤
-
(
1845986741144000437987
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_667_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
101836387367287
/
128000000000000
)
≤
-
(
2123883406626890648073
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_667_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
101836387367287
/
128000000000000
)
≤
-
(
618599601174517764213
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_667_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
101836387367287
/
128000000000000
)
≤
-
(
1452168150311807516473
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_667_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
101836387367287
/
128000000000000
)
≤
-
(
6834438478415439925663
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_667_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
101836387367287
/
128000000000000
)
≤
-
(
802010272264151745109
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_667_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
101836387367287
/
128000000000000
)
≤
-
(
4665312136517286567177
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_667_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
101836387367287
/
128000000000000
)
≤
-
(
10658612229026117417291
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_667_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
101836387367287
/
128000000000000
)
≤
-
(
5859174174619187689721
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_667
:
Uρ
(
101836387367287
/
128000000000000
)
≤
-
(
1097916055907063284131
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_668_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
40985227487781
/
51200000000000
)
≤
-
(
28827527957205322453
/
125000000000000000000
)
source
theorem
Zeta5Irrational
.
U_668_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
40985227487781
/
51200000000000
)
≤
-
(
46726498663784903531
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_668_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
40985227487781
/
51200000000000
)
≤
-
(
2396801783767159707439
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_668_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
40985227487781
/
51200000000000
)
≤
-
(
312241245281524448941
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_668_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
40985227487781
/
51200000000000
)
≤
-
(
663396520318592504421
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_668_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
40985227487781
/
51200000000000
)
≤
-
(
115213863744958042733
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_668_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
40985227487781
/
51200000000000
)
≤
-
(
3196506870553017259521
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_668_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
40985227487781
/
51200000000000
)
≤
-
(
3621029128780322054959
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_668_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
40985227487781
/
51200000000000
)
≤
-
(
2086192537048560607821
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_668_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
40985227487781
/
51200000000000
)
≤
-
(
4867177017714833062951
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_668_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
40985227487781
/
51200000000000
)
≤
-
(
571822785259138887833
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_668_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
40985227487781
/
51200000000000
)
≤
-
(
420707167491835697151
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_668_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
40985227487781
/
51200000000000
)
≤
-
(
1579666510826825980323
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_668_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
40985227487781
/
51200000000000
)
≤
-
(
1836156577461968690781
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_668_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
40985227487781
/
51200000000000
)
≤
-
(
5233528120475439557461
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_668_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
40985227487781
/
51200000000000
)
≤
-
(
11476547035735173474157
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_668
:
Uρ
(
40985227487781
/
51200000000000
)
≤
-
(
431209322955317224327
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_669_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
51544875035809
/
64000000000000
)
≤
-
(
2244732758859609584141
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_669_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
51544875035809
/
64000000000000
)
≤
-
(
227466970668141009613
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_669_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
51544875035809
/
64000000000000
)
≤
-
(
2334771082517334658739
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_669_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
51544875035809
/
64000000000000
)
≤
-
(
304407961166478728341
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_669_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
51544875035809
/
64000000000000
)
≤
-
(
647480560805871238739
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_669_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
51544875035809
/
64000000000000
)
≤
-
(
87974566296101048461
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_669_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
51544875035809
/
64000000000000
)
≤
-
(
391146157008232414821
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_669_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
51544875035809
/
64000000000000
)
≤
-
(
355058973366974848083
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_669_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
51544875035809
/
64000000000000
)
≤
-
(
1024394782019966389091
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_669_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
51544875035809
/
64000000000000
)
≤
-
(
11965611613780661111
/
25000000000000000000
)
source
theorem
Zeta5Irrational
.
U_669_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
51544875035809
/
64000000000000
)
≤
-
(
5628654436701494422077
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_669_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
51544875035809
/
64000000000000
)
≤
-
(
6629385355911510922651
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_669_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
51544875035809
/
64000000000000
)
≤
-
(
972296894257070220027
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_669_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
51544875035809
/
64000000000000
)
≤
-
(
9034059768671761378607
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_669_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
51544875035809
/
64000000000000
)
≤
-
(
10281552864863602885801
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_669_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
51544875035809
/
64000000000000
)
≤
-
(
5623107287608835128659
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_669
:
Uρ
(
51544875035809
/
64000000000000
)
≤
-
(
4233482968561500353719
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_670_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
104343112775949
/
128000000000000
)
≤
-
(
2122915875407152198241
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_670_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
104343112775949
/
128000000000000
)
≤
-
(
2152488114323455304571
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_670_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
104343112775949
/
128000000000000
)
≤
-
(
2211852356495572801771
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_670_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
104343112775949
/
128000000000000
)
≤
-
(
23110974918272984411
/
100000000000000000000
)
source
theorem
Zeta5Irrational
.
U_670_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
104343112775949
/
128000000000000
)
≤
-
(
2463798801145355917777
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_670_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
104343112775949
/
128000000000000
)
≤
-
(
671531988149197401087
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_670_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
104343112775949
/
128000000000000
)
≤
-
(
1497922846347504928719
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_670_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
104343112775949
/
128000000000000
)
≤
-
(
426399641951322608969
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_670_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
104343112775949
/
128000000000000
)
≤
-
(
3949659208324676186013
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_670_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
104343112775949
/
128000000000000
)
≤
-
(
4626394831317498006823
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_670_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
104343112775949
/
128000000000000
)
≤
-
(
2726025637081969480721
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_670_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
104343112775949
/
128000000000000
)
≤
-
(
1607247505027276502399
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_670_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
104343112775949
/
128000000000000
)
≤
-
(
7543653695001394939451
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_670_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
104343112775949
/
128000000000000
)
≤
-
(
8749352398163579758549
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_670_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
104343112775949
/
128000000000000
)
≤
-
(
2481709788466278231419
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_670_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
104343112775949
/
128000000000000
)
≤
-
(
1081467769326687780553
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_670
:
Uρ
(
104343112775949
/
128000000000000
)
≤
-
(
32631863470159351417
/
80000000000000000000
)
source
theorem
Zeta5Irrational
.
U_671_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
2639911887007
/
3200000000000
)
≤
-
(
500641273210134050889
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_671_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
2639911887007
/
3200000000000
)
≤
-
(
1015890701030451598891
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_671_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
2639911887007
/
3200000000000
)
≤
-
(
1045213186822443644979
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_671_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
2639911887007
/
3200000000000
)
≤
-
(
2188454632258100397817
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_671_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
2639911887007
/
3200000000000
)
≤
-
(
2339247632052252958919
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_671_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
2639911887007
/
3200000000000
)
≤
-
(
127935879922268966083
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_671_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
2639911887007
/
3200000000000
)
≤
-
(
143214223958901012311
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_671_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
2639911887007
/
3200000000000
)
≤
-
(
3273739843396933459351
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_671_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
2639911887007
/
3200000000000
)
≤
-
(
3803938287939391401999
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_671_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
2639911887007
/
3200000000000
)
≤
-
(
4469155812153975488917
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_671_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
2639911887007
/
3200000000000
)
≤
-
(
5278727945726234280523
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_671_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
2639911887007
/
3200000000000
)
≤
-
(
1558256031449427925669
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_671_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
2639911887007
/
3200000000000
)
≤
-
(
7315481309970044122373
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_671_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
2639911887007
/
3200000000000
)
≤
-
(
132427977383954035777
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_671_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
2639911887007
/
3200000000000
)
≤
-
(
4795647034182452320199
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_671_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
2639911887007
/
3200000000000
)
≤
-
(
10415420626330915702817
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_671
:
Uρ
(
2639911887007
/
3200000000000
)
≤
-
(
122746261948983473009
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_672_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
106849838184611
/
128000000000000
)
≤
-
(
235455692546499870873
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_672_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
106849838184611
/
128000000000000
)
≤
-
(
191251438587919057173
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_672_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
106849838184611
/
128000000000000
)
≤
-
(
123153581774262376029
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_672_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
106849838184611
/
128000000000000
)
≤
-
(
413459634607695491819
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_672_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
106849838184611
/
128000000000000
)
≤
-
(
2216229985259282885979
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_672_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
106849838184611
/
128000000000000
)
≤
-
(
486582685306763027307
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_672_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
106849838184611
/
128000000000000
)
≤
-
(
341804927920539353553
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_672_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
106849838184611
/
128000000000000
)
≤
-
(
3138164350541981558903
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_672_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
106849838184611
/
128000000000000
)
≤
-
(
915087684084109970181
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_672_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
106849838184611
/
128000000000000
)
≤
-
(
2157220375553611875821
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_672_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
106849838184611
/
128000000000000
)
≤
-
(
2554278773373393057629
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_672_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
106849838184611
/
128000000000000
)
≤
-
(
188789903102745975883
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_672_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
106849838184611
/
128000000000000
)
≤
-
(
1773362058072074792879
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_672_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
106849838184611
/
128000000000000
)
≤
-
(
8211227049645739158739
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_672_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
106849838184611
/
128000000000000
)
≤
-
(
1854487086372971585059
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_672_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
106849838184611
/
128000000000000
)
≤
-
(
10042650893961810327003
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_672
:
Uρ
(
106849838184611
/
128000000000000
)
≤
-
(
3779941234837194175711
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_673_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
54051600444471
/
64000000000000
)
≤
-
(
441530894174971766827
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_673_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
54051600444471
/
64000000000000
)
≤
-
(
358930625195043976947
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_673_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
54051600444471
/
64000000000000
)
≤
-
(
1851910609720033326851
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_673_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
54051600444471
/
64000000000000
)
≤
-
(
973796252202356616109
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_673_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
54051600444471
/
64000000000000
)
≤
-
(
1047354263203227591767
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_673_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
54051600444471
/
64000000000000
)
≤
-
(
2308675365543395899577
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_673_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
54051600444471
/
64000000000000
)
≤
-
(
2606266133502291094023
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_673_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
54051600444471
/
64000000000000
)
≤
-
(
375552419867593022027
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_673_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
54051600444471
/
64000000000000
)
≤
-
(
3518833867664006306331
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_673_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
54051600444471
/
64000000000000
)
≤
-
(
4162167202080293224863
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_673_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
54051600444471
/
64000000000000
)
≤
-
(
4941420751005724572059
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_673_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
54051600444471
/
64000000000000
)
≤
-
(
1463388324566729199727
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_673_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
54051600444471
/
64000000000000
)
≤
-
(
687718534739097609481
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_673_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
54051600444471
/
64000000000000
)
≤
-
(
994505843548616338199
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_673_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
54051600444471
/
64000000000000
)
≤
-
(
8968279189791174831113
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_673_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
54051600444471
/
64000000000000
)
≤
-
(
387685589835395029451
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_673
:
Uρ
(
54051600444471
/
64000000000000
)
≤
-
(
363496725301935166593
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_674_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
27652481574401
/
32000000000000
)
≤
-
(
383785914618737645777
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_674_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
27652481574401
/
32000000000000
)
≤
-
(
48844312258711844961
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_674_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
27652481574401
/
32000000000000
)
≤
-
(
404738031473057972023
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_674_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
27652481574401
/
32000000000000
)
≤
-
(
342479473035474896289
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_674_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
27652481574401
/
32000000000000
)
≤
-
(
185601151129559812207
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_674_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
27652481574401
/
32000000000000
)
≤
-
(
1032372319093198975119
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_674_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
27652481574401
/
32000000000000
)
≤
-
(
1177382868026010592239
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_674_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
27652481574401
/
32000000000000
)
≤
-
(
2742226011902361903109
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_674_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
27652481574401
/
32000000000000
)
≤
-
(
129671004603477111227
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_674_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
27652481574401
/
32000000000000
)
≤
-
(
483079380526028675361
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_674_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
27652481574401
/
32000000000000
)
≤
-
(
576975617282524960421
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_674_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
27652481574401
/
32000000000000
)
≤
-
(
2744733037009107092033
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_674_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
27652481574401
/
32000000000000
)
≤
-
(
3230332515999585509361
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_674_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
27652481574401
/
32000000000000
)
≤
-
(
298795737915287152287
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_674_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
27652481574401
/
32000000000000
)
≤
-
(
2099471820989259101859
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_674_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
27652481574401
/
32000000000000
)
≤
-
(
9045797086010213353117
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_674
:
Uρ
(
27652481574401
/
32000000000000
)
≤
-
(
104789093514343343243
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_675_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
56558325853133
/
64000000000000
)
≤
-
(
1309378706805599354279
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_675_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
56558325853133
/
64000000000000
)
≤
-
(
1336627245042598542631
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_675_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
56558325853133
/
64000000000000
)
≤
-
(
1391297819368064538101
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_675_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
56558325853133
/
64000000000000
)
≤
-
(
741304296202974127503
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_675_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
56558325853133
/
64000000000000
)
≤
-
(
1622883744341165361017
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_675_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
56558325853133
/
64000000000000
)
≤
-
(
913316624783847168869
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_675_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
56558325853133
/
64000000000000
)
≤
-
(
527365195200048172033
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_675_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
56558325853133
/
64000000000000
)
≤
-
(
1243394595876810300753
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_675_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
56558325853133
/
64000000000000
)
≤
-
(
2972313060724690363641
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_675_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
56558325853133
/
64000000000000
)
≤
-
(
893994214702231111179
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_675_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
56558325853133
/
64000000000000
)
≤
-
(
215052782857109338981
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_675_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
56558325853133
/
64000000000000
)
≤
-
(
1027892171772619989907
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_675_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
56558325853133
/
64000000000000
)
≤
-
(
1212718825538876018277
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_675_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
56558325853133
/
64000000000000
)
≤
-
(
280489785711701105503
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_675_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
56558325853133
/
64000000000000
)
≤
-
(
7870167065046628959241
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_675_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
56558325853133
/
64000000000000
)
≤
-
(
4229065425846391883387
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_675
:
Uρ
(
56558325853133
/
64000000000000
)
≤
-
(
1540795269486682136973
/
5000000000000000000000
)