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.
Table
.
U38
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LeanPool.Zeta5Irrational.Table.UpperCertificate
Imported by
Zeta5Irrational
.
U_460_1
Zeta5Irrational
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U_460_2
Zeta5Irrational
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U_460_3
Zeta5Irrational
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U_460_4
Zeta5Irrational
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U_460_5
Zeta5Irrational
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U_460_6
Zeta5Irrational
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U_460_7
Zeta5Irrational
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U_460_8
Zeta5Irrational
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U_460_9
Zeta5Irrational
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U_460_10
Zeta5Irrational
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U_460_11
Zeta5Irrational
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U_460_12
Zeta5Irrational
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U_460_13
Zeta5Irrational
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U_460_14
Zeta5Irrational
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U_460_15
Zeta5Irrational
.
U_460_16
Zeta5Irrational
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U_460
Zeta5Irrational
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U_461_1
Zeta5Irrational
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U_461_2
Zeta5Irrational
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U_461_3
Zeta5Irrational
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U_461_4
Zeta5Irrational
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U_461_5
Zeta5Irrational
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U_461_6
Zeta5Irrational
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U_461_7
Zeta5Irrational
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U_461_8
Zeta5Irrational
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U_461_9
Zeta5Irrational
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U_461_10
Zeta5Irrational
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U_461_11
Zeta5Irrational
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U_461_12
Zeta5Irrational
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U_461_13
Zeta5Irrational
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U_461_14
Zeta5Irrational
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U_461_15
Zeta5Irrational
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U_461_16
Zeta5Irrational
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U_461
Zeta5Irrational
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U_462_1
Zeta5Irrational
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U_462_2
Zeta5Irrational
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U_462_3
Zeta5Irrational
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U_462_4
Zeta5Irrational
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U_462_5
Zeta5Irrational
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U_462_6
Zeta5Irrational
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U_462_7
Zeta5Irrational
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U_462_8
Zeta5Irrational
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U_462_9
Zeta5Irrational
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U_462_10
Zeta5Irrational
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U_462_11
Zeta5Irrational
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U_462_12
Zeta5Irrational
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U_462_13
Zeta5Irrational
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U_462_14
Zeta5Irrational
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U_462_15
Zeta5Irrational
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U_462_16
Zeta5Irrational
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U_462
Zeta5Irrational
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U_463_1
Zeta5Irrational
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U_463_2
Zeta5Irrational
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U_463_3
Zeta5Irrational
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U_463_4
Zeta5Irrational
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U_463_5
Zeta5Irrational
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U_463_6
Zeta5Irrational
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U_463_7
Zeta5Irrational
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U_463_8
Zeta5Irrational
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U_463_9
Zeta5Irrational
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U_463_10
Zeta5Irrational
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U_463_11
Zeta5Irrational
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U_463_12
Zeta5Irrational
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U_463_13
Zeta5Irrational
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U_463_14
Zeta5Irrational
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U_463_15
Zeta5Irrational
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U_463_16
Zeta5Irrational
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U_463
Zeta5Irrational
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U_464_1
Zeta5Irrational
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U_464_2
Zeta5Irrational
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U_464_3
Zeta5Irrational
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U_464_4
Zeta5Irrational
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U_464_5
Zeta5Irrational
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U_464_6
Zeta5Irrational
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U_464_7
Zeta5Irrational
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U_464_8
Zeta5Irrational
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U_464_9
Zeta5Irrational
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U_464_10
Zeta5Irrational
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U_464_11
Zeta5Irrational
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U_464_12
Zeta5Irrational
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U_464_13
Zeta5Irrational
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U_464_14
Zeta5Irrational
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U_464_15
Zeta5Irrational
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U_464_16
Zeta5Irrational
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U_464
Zeta5Irrational
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U_465_1
Zeta5Irrational
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U_465_2
Zeta5Irrational
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U_465_3
Zeta5Irrational
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U_465_4
Zeta5Irrational
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U_465_5
Zeta5Irrational
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U_465_6
Zeta5Irrational
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U_465_7
Zeta5Irrational
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U_465_8
Zeta5Irrational
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U_465_9
Zeta5Irrational
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U_465_10
Zeta5Irrational
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U_465_11
Zeta5Irrational
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U_465_12
Zeta5Irrational
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U_465_13
Zeta5Irrational
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U_465_14
Zeta5Irrational
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U_465_15
Zeta5Irrational
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U_465_16
Zeta5Irrational
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U_465
Zeta5Irrational
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U_466_1
Zeta5Irrational
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U_466_2
Zeta5Irrational
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U_466_3
Zeta5Irrational
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U_466_4
Zeta5Irrational
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U_466_5
Zeta5Irrational
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U_466_6
Zeta5Irrational
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U_466_7
Zeta5Irrational
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U_466_8
Zeta5Irrational
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U_466_9
Zeta5Irrational
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U_466_10
Zeta5Irrational
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U_466_11
Zeta5Irrational
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U_466_12
Zeta5Irrational
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U_466_13
Zeta5Irrational
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U_466_14
Zeta5Irrational
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U_466_15
Zeta5Irrational
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U_466_16
Zeta5Irrational
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U_466
Zeta5Irrational
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U_467_1
Zeta5Irrational
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U_467_2
Zeta5Irrational
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U_467_3
Zeta5Irrational
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U_467_4
Zeta5Irrational
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U_467_5
Zeta5Irrational
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U_467_6
Zeta5Irrational
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U_467_7
Zeta5Irrational
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U_467_8
Zeta5Irrational
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U_467_9
Zeta5Irrational
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U_467_10
Zeta5Irrational
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U_467_11
Zeta5Irrational
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U_467_12
Zeta5Irrational
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U_467_13
Zeta5Irrational
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U_467_14
Zeta5Irrational
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U_467_15
Zeta5Irrational
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U_467_16
Zeta5Irrational
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U_467
Zeta5Irrational
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U_468_1
Zeta5Irrational
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U_468_2
Zeta5Irrational
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U_468_3
Zeta5Irrational
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U_468_4
Zeta5Irrational
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U_468_5
Zeta5Irrational
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U_468_6
Zeta5Irrational
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U_468_7
Zeta5Irrational
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U_468_8
Zeta5Irrational
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U_468_9
Zeta5Irrational
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U_468_10
Zeta5Irrational
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U_468_11
Zeta5Irrational
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U_468_12
Zeta5Irrational
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U_468_13
Zeta5Irrational
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U_468_14
Zeta5Irrational
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U_468_15
Zeta5Irrational
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U_468_16
Zeta5Irrational
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U_468
Zeta5Irrational
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U_469_1
Zeta5Irrational
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U_469_2
Zeta5Irrational
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U_469_3
Zeta5Irrational
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U_469_4
Zeta5Irrational
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U_469_5
Zeta5Irrational
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U_469_6
Zeta5Irrational
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U_469_7
Zeta5Irrational
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U_469_8
Zeta5Irrational
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U_469_9
Zeta5Irrational
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U_469_10
Zeta5Irrational
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U_469_11
Zeta5Irrational
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U_469_12
Zeta5Irrational
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U_469_13
Zeta5Irrational
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U_469_14
Zeta5Irrational
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U_469_15
Zeta5Irrational
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U_469_16
Zeta5Irrational
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U_469
Zeta5Irrational
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U_470_1
Zeta5Irrational
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U_470_2
Zeta5Irrational
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U_470_3
Zeta5Irrational
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U_470_4
Zeta5Irrational
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U_470_5
Zeta5Irrational
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U_470_6
Zeta5Irrational
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U_470_7
Zeta5Irrational
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U_470_8
Zeta5Irrational
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U_470_9
Zeta5Irrational
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U_470_10
Zeta5Irrational
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U_470_11
Zeta5Irrational
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U_470_12
Zeta5Irrational
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U_470_13
Zeta5Irrational
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U_470_14
Zeta5Irrational
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U_470_15
Zeta5Irrational
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U_470_16
Zeta5Irrational
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U_470
Zeta5Irrational
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U_471_1
Zeta5Irrational
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U_471_2
Zeta5Irrational
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U_471_3
Zeta5Irrational
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U_471_4
Zeta5Irrational
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U_471_5
Zeta5Irrational
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U_471_6
Zeta5Irrational
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U_471_7
Zeta5Irrational
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U_471_8
Zeta5Irrational
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U_471_9
Zeta5Irrational
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U_471_10
Zeta5Irrational
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U_471_11
Zeta5Irrational
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U_471_12
Zeta5Irrational
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U_471_13
Zeta5Irrational
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U_471_14
Zeta5Irrational
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U_471_15
Zeta5Irrational
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U_471_16
Zeta5Irrational
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U_471
Certified arcsine potential bounds (U38)
#
source
theorem
Zeta5Irrational
.
U_460_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
245862249367
/
500000000000
)
≤
-
(
3615234313927837667861
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_460_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
245862249367
/
500000000000
)
≤
-
(
7279955839745068222781
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_460_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
245862249367
/
500000000000
)
≤
-
(
1475950658839148611197
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_460_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
245862249367
/
500000000000
)
≤
-
(
3773995427686548841721
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_460_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
245862249367
/
500000000000
)
≤
-
(
1249668051570219817
/
1600000000000000000
)
source
theorem
Zeta5Irrational
.
U_460_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
245862249367
/
500000000000
)
≤
-
(
512555580040854648039
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_460_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
245862249367
/
500000000000
)
≤
-
(
4381688364844639488627
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_460_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
245862249367
/
500000000000
)
≤
-
(
9557973728229765291131
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_460_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
245862249367
/
500000000000
)
≤
-
(
1334631757746133575117
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_460_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
245862249367
/
500000000000
)
≤
-
(
12296988295501843449263
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_460_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
245862249367
/
500000000000
)
≤
-
(
14931666246709073635179
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_460_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
245862249367
/
500000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_460_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
245862249367
/
500000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_460_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
245862249367
/
500000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_460_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
245862249367
/
500000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_460_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
245862249367
/
500000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_460
:
Uρ
(
245862249367
/
500000000000
)
≤
-
(
1097728741781144235151
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_461_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
494373098487
/
1000000000000
)
≤
-
(
1435207381605281826913
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_461_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
494373098487
/
1000000000000
)
≤
-
(
3612626362959643324813
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_461_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
494373098487
/
1000000000000
)
≤
-
(
732449666129835809591
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_461_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
494373098487
/
1000000000000
)
≤
-
(
7491781848650053319527
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_461_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
494373098487
/
1000000000000
)
≤
-
(
387634025740016904203
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_461_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
494373098487
/
1000000000000
)
≤
-
(
814073901128552071001
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_461_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
494373098487
/
1000000000000
)
≤
-
(
8699483085173201573619
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_461_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
494373098487
/
1000000000000
)
≤
-
(
9488147633802443083583
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_461_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
494373098487
/
1000000000000
)
≤
-
(
10597289264973965425953
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_461_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
494373098487
/
1000000000000
)
≤
-
(
609912108571579113853
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_461_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
494373098487
/
1000000000000
)
≤
-
(
1847555945715342408171
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_461_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
494373098487
/
1000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_461_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
494373098487
/
1000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_461_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
494373098487
/
1000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_461_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
494373098487
/
1000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_461_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
494373098487
/
1000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_461
:
Uρ
(
494373098487
/
1000000000000
)
≤
-
(
682607457176087644829
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_462_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
1553192807
/
3125000000
)
≤
-
(
3560949935065535102229
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_462_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
1553192807
/
3125000000
)
≤
-
(
3585423627245885930571
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_462_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
1553192807
/
3125000000
)
≤
-
(
1817385944381576922393
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_462_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
1553192807
/
3125000000
)
≤
-
(
1487177463258952670079
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_462_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
1553192807
/
3125000000
)
≤
-
(
7695268068651840452393
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_462_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
1553192807
/
3125000000
)
≤
-
(
8080950627273355186921
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_462_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
1553192807
/
3125000000
)
≤
-
(
8636001089211850716229
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_462_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
1553192807
/
3125000000
)
≤
-
(
9418822182081979184731
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_462_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
1553192807
/
3125000000
)
≤
-
(
10518204729532456955793
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_462_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
1553192807
/
3125000000
)
≤
-
(
2420128375275408177111
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_462_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
1553192807
/
3125000000
)
≤
-
(
1829093014460264202961
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_462_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
1553192807
/
3125000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_462_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
1553192807
/
3125000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_462_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
1553192807
/
3125000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_462_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
1553192807
/
3125000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_462_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
1553192807
/
3125000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_462
:
Uρ
(
1553192807
/
3125000000
)
≤
-
(
5433380228379890830107
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_463_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
499670297993
/
1000000000000
)
≤
-
(
7068054340607733583047
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_463_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
499670297993
/
1000000000000
)
≤
-
(
889592025465360876981
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_463_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
499670297993
/
1000000000000
)
≤
-
(
3607445660313601547497
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_463_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
499670297993
/
1000000000000
)
≤
-
(
59042430046709734459
/
80000000000000000000
)
source
theorem
Zeta5Irrational
.
U_463_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
499670297993
/
1000000000000
)
≤
-
(
7638184170449427090801
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_463_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
499670297993
/
1000000000000
)
≤
-
(
125336246465165303943
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_463_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
499670297993
/
1000000000000
)
≤
-
(
2143231349051881482137
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_463_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
499670297993
/
1000000000000
)
≤
-
(
9349990018013522406539
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_463_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
499670297993
/
1000000000000
)
≤
-
(
10439788165175504274949
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_463_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
499670297993
/
1000000000000
)
≤
-
(
12004157409170647831141
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_463_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
499670297993
/
1000000000000
)
≤
-
(
7244175858108899826303
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_463_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
499670297993
/
1000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_463_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
499670297993
/
1000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_463_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
499670297993
/
1000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_463_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
499670297993
/
1000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_463_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
499670297993
/
1000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_463
:
Uρ
(
499670297993
/
1000000000000
)
≤
-
(
10812388899080794907653
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_464_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
504967497499
/
1000000000000
)
≤
-
(
3480612683152575500467
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_464_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
504967497499
/
1000000000000
)
≤
-
(
7009384736248986284349
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_464_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
504967497499
/
1000000000000
)
≤
-
(
7106474668395118534257
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_464_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
504967497499
/
1000000000000
)
≤
-
(
3635027915338646864123
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_464_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
504967497499
/
1000000000000
)
≤
-
(
300999483591545481661
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_464_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
504967497499
/
1000000000000
)
≤
-
(
987964203752296207611
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_464_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
504967497499
/
1000000000000
)
≤
-
(
168959441163534356641
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_464_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
504967497499
/
1000000000000
)
≤
-
(
9213776955017311777019
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_464_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
504967497499
/
1000000000000
)
≤
-
(
5142455757492057291689
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_464_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
504967497499
/
1000000000000
)
≤
-
(
11814422219193978853499
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_464_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
504967497499
/
1000000000000
)
≤
-
(
7104388521796205094697
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_464_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
504967497499
/
1000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_464_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
504967497499
/
1000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_464_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
504967497499
/
1000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_464_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
504967497499
/
1000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_464_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
504967497499
/
1000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_464
:
Uρ
(
504967497499
/
1000000000000
)
≤
-
(
10705328196259241107531
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_465_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
102052939401
/
200000000000
)
≤
-
(
685552559971335199247
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_465_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
102052939401
/
200000000000
)
≤
-
(
6903173572969198641041
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_465_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
102052939401
/
200000000000
)
≤
-
(
3499610595096664125941
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_465_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
102052939401
/
200000000000
)
≤
-
(
7161011195376077060239
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_465_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
102052939401
/
200000000000
)
≤
-
(
3706530023605786136097
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_465_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
102052939401
/
200000000000
)
≤
-
(
311491491184998294687
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_465_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
102052939401
/
200000000000
)
≤
-
(
66596658834443514293
/
80000000000000000000
)
source
theorem
Zeta5Irrational
.
U_465_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
102052939401
/
200000000000
)
≤
-
(
4539726412331190736867
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_465_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
102052939401
/
200000000000
)
≤
-
(
5066283857032743146991
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_465_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
102052939401
/
200000000000
)
≤
-
(
11628820653098059451003
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_465_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
102052939401
/
200000000000
)
≤
-
(
871277070376627645763
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_465_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
102052939401
/
200000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_465_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
102052939401
/
200000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_465_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
102052939401
/
200000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_465_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
102052939401
/
200000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_465_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
102052939401
/
200000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_465
:
Uρ
(
102052939401
/
200000000000
)
≤
-
(
80874574167903463
/
76293945312500000
)
source
theorem
Zeta5Irrational
.
U_466_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
515561896511
/
1000000000000
)
≤
-
(
843866426616583228107
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_466_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
515561896511
/
1000000000000
)
≤
-
(
6798078736206332217349
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_466_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
515561896511
/
1000000000000
)
≤
-
(
430819136700830867653
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_466_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
515561896511
/
1000000000000
)
≤
-
(
3526571922133105569901
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_466_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
515561896511
/
1000000000000
)
≤
-
(
3651187397247562346277
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_466_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
515561896511
/
1000000000000
)
≤
-
(
7672208592147029240361
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_466_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
515561896511
/
1000000000000
)
≤
-
(
4101358559010733619021
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_466_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
515561896511
/
1000000000000
)
≤
-
(
1789392884586392307439
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_466_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
515561896511
/
1000000000000
)
≤
-
(
9982670117907299539191
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_466_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
515561896511
/
1000000000000
)
≤
-
(
715447111252919705633
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_466_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
515561896511
/
1000000000000
)
≤
-
(
13682238889552235011001
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_466_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
515561896511
/
1000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_466_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
515561896511
/
1000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_466_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
515561896511
/
1000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_466_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
515561896511
/
1000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_466_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
515561896511
/
1000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_466
:
Uρ
(
515561896511
/
1000000000000
)
≤
-
(
10497454876210826800467
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_467_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
16577867570387
/
32000000000000
)
≤
-
(
1340402996119632497453
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_467_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
16577867570387
/
32000000000000
)
≤
-
(
107982879792002849
/
160000000000000000
)
source
theorem
Zeta5Irrational
.
U_467_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
16577867570387
/
32000000000000
)
≤
-
(
1710871032282440537927
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_467_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
16577867570387
/
32000000000000
)
≤
-
(
3501354518816356370809
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_467_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
16577867570387
/
32000000000000
)
≤
-
(
7250633714693489879047
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_467_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
16577867570387
/
32000000000000
)
≤
-
(
380921630778540381131
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_467_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
16577867570387
/
32000000000000
)
≤
-
(
1629160430370876043877
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_467_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
16577867570387
/
32000000000000
)
≤
-
(
4442573536579649517609
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_467_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
16577867570387
/
32000000000000
)
≤
-
(
4956425418371077082301
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_467_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
16577867570387
/
32000000000000
)
≤
-
(
5681424454436483179861
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_467_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
16577867570387
/
32000000000000
)
≤
-
(
13563808816514087504783
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_467_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
16577867570387
/
32000000000000
)
≤
-
(
2387382650451925792207
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_467_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
16577867570387
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_467_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
16577867570387
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_467_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
16577867570387
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_467_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
16577867570387
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_467
:
Uρ
(
16577867570387
/
32000000000000
)
≤
-
(
10351760659059680238169
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_468_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
8328877226211
/
16000000000000
)
≤
-
(
3326668334306610783819
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_468_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
8328877226211
/
16000000000000
)
≤
-
(
6700021636373269278519
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_468_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
8328877226211
/
16000000000000
)
≤
-
(
6794107161476389452203
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_468_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
8328877226211
/
16000000000000
)
≤
-
(
695252753712603288749
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_468_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
8328877226211
/
16000000000000
)
≤
-
(
1439831914742107004137
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_468_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
8328877226211
/
16000000000000
)
≤
-
(
1512989178853868331933
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_468_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
8328877226211
/
16000000000000
)
≤
-
(
8089213548594952910653
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_468_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
8328877226211
/
16000000000000
)
≤
-
(
8823720942157960686819
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_468_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
8328877226211
/
16000000000000
)
≤
-
(
9843548329673441358901
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_468_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
8328877226211
/
16000000000000
)
≤
-
(
1409919848820797437973
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_468_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
8328877226211
/
16000000000000
)
≤
-
(
13447342272511465768649
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_468_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
8328877226211
/
16000000000000
)
≤
-
(
18524580292131774241723
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_468_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
8328877226211
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_468_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
8328877226211
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_468_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
8328877226211
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_468_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
8328877226211
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_468
:
Uρ
(
8328877226211
/
16000000000000
)
≤
-
(
1026390100268947894541
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_469_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
16737641334457
/
32000000000000
)
≤
-
(
1651223542470804826287
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_469_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
16737641334457
/
32000000000000
)
≤
-
(
1330270268776452498909
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_469_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
16737641334457
/
32000000000000
)
≤
-
(
337248643719215027449
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_469_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
16737641334457
/
32000000000000
)
≤
-
(
3451298405747701115753
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_469_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
16737641334457
/
32000000000000
)
≤
-
(
7147949625221588208791
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_469_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
16737641334457
/
32000000000000
)
≤
-
(
3755872658039831526277
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_469_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
16737641334457
/
32000000000000
)
≤
-
(
8032947538949810997407
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_469_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
16737641334457
/
32000000000000
)
≤
-
(
8762680969486746709881
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_469_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
16737641334457
/
32000000000000
)
≤
-
(
9774754545064592874979
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_469_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
16737641334457
/
32000000000000
)
≤
-
(
2799166476393955032353
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_469_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
16737641334457
/
32000000000000
)
≤
-
(
3333189941798207716189
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_469_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
16737641334457
/
32000000000000
)
≤
-
(
18084834061631598644507
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_469_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
16737641334457
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_469_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
16737641334457
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_469_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
16737641334457
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_469_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
16737641334457
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_469
:
Uρ
(
16737641334457
/
32000000000000
)
≤
-
(
5092959469832835324207
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_470_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
33555169550949
/
64000000000000
)
≤
-
(
1316152127732697187741
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_470_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
33555169550949
/
64000000000000
)
≤
-
(
1656776186842113214311
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_470_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
33555169550949
/
64000000000000
)
≤
-
(
6720495992657626363703
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_470_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
33555169550949
/
64000000000000
)
≤
-
(
1719431176382352272803
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_470_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
33555169550949
/
64000000000000
)
≤
-
(
3561221438257288238383
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_470_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
33555169550949
/
64000000000000
)
≤
-
(
7485251371864224695571
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_470_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
33555169550949
/
64000000000000
)
≤
-
(
8004934346840263548131
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_470_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
33555169550949
/
64000000000000
)
≤
-
(
2183076059643294649347
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_470_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
33555169550949
/
64000000000000
)
≤
-
(
9740545961313508592881
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_470_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
33555169550949
/
64000000000000
)
≤
-
(
139445163964400578137
/
125000000000000000000
)
source
theorem
Zeta5Irrational
.
U_470_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
33555169550949
/
64000000000000
)
≤
-
(
13276151640471082417553
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_470_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
33555169550949
/
64000000000000
)
≤
-
(
17893176801322932681187
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_470_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
33555169550949
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_470_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
33555169550949
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_470_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
33555169550949
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_470_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
33555169550949
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_470
:
Uρ
(
33555169550949
/
64000000000000
)
≤
-
(
1014905945163655209177
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_471_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
4204382054123
/
8000000000000
)
≤
-
(
6556685210681737118977
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_471_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
4204382054123
/
8000000000000
)
≤
-
(
6602916803099730944047
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_471_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
4204382054123
/
8000000000000
)
≤
-
(
1339215778672726434163
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_471_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
4204382054123
/
8000000000000
)
≤
-
(
6852914359553545011063
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_471_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
4204382054123
/
8000000000000
)
≤
-
(
7097001165159826073773
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_471_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
4204382054123
/
8000000000000
)
≤
-
(
3729413909532381592127
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_471_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
4204382054123
/
8000000000000
)
≤
-
(
15580078944028729029
/
19531250000000000000
)
source
theorem
Zeta5Irrational
.
U_471_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
4204382054123
/
8000000000000
)
≤
-
(
8702022194771938875817
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_471_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
4204382054123
/
8000000000000
)
≤
-
(
9706461627251655129437
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_471_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
4204382054123
/
8000000000000
)
≤
-
(
2778688335021342273317
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_471_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
4204382054123
/
8000000000000
)
≤
-
(
6609993535840864133789
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_471_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
4204382054123
/
8000000000000
)
≤
-
(
3542999804663610854087
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_471_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
4204382054123
/
8000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_471_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
4204382054123
/
8000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_471_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
4204382054123
/
8000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_471_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
4204382054123
/
8000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_471
:
Uρ
(
4204382054123
/
8000000000000
)
≤
-
(
79009721845316621653
/
78125000000000000000
)