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.
Zeta5Irrational
.
Table
.
U45
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Imports
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LeanPool.Zeta5Irrational.Table.UpperCertificate
Imported by
Zeta5Irrational
.
U_544_1
Zeta5Irrational
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U_544_2
Zeta5Irrational
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U_544_3
Zeta5Irrational
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U_544_4
Zeta5Irrational
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U_544_5
Zeta5Irrational
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U_544_6
Zeta5Irrational
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U_544_7
Zeta5Irrational
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U_544_8
Zeta5Irrational
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U_544_9
Zeta5Irrational
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U_544_10
Zeta5Irrational
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U_544_11
Zeta5Irrational
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U_544_12
Zeta5Irrational
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U_544_13
Zeta5Irrational
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U_544_14
Zeta5Irrational
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U_544_15
Zeta5Irrational
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U_544_16
Zeta5Irrational
.
U_544
Zeta5Irrational
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U_545_1
Zeta5Irrational
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U_545_2
Zeta5Irrational
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U_545_3
Zeta5Irrational
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U_545_4
Zeta5Irrational
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U_545_5
Zeta5Irrational
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U_545_6
Zeta5Irrational
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U_545_7
Zeta5Irrational
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U_545_8
Zeta5Irrational
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U_545_9
Zeta5Irrational
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U_545_10
Zeta5Irrational
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U_545_11
Zeta5Irrational
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U_545_12
Zeta5Irrational
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U_545_13
Zeta5Irrational
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U_545_14
Zeta5Irrational
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U_545_15
Zeta5Irrational
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U_545_16
Zeta5Irrational
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U_545
Zeta5Irrational
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U_546_1
Zeta5Irrational
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U_546_2
Zeta5Irrational
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U_546_3
Zeta5Irrational
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U_546_4
Zeta5Irrational
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U_546_5
Zeta5Irrational
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U_546_6
Zeta5Irrational
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U_546_7
Zeta5Irrational
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U_546_8
Zeta5Irrational
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U_546_9
Zeta5Irrational
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U_546_10
Zeta5Irrational
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U_546_11
Zeta5Irrational
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U_546_12
Zeta5Irrational
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U_546_13
Zeta5Irrational
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U_546_14
Zeta5Irrational
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U_546_15
Zeta5Irrational
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U_546_16
Zeta5Irrational
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U_546
Zeta5Irrational
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U_547_1
Zeta5Irrational
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U_547_2
Zeta5Irrational
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U_547_3
Zeta5Irrational
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U_547_4
Zeta5Irrational
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U_547_5
Zeta5Irrational
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U_547_6
Zeta5Irrational
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U_547_7
Zeta5Irrational
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U_547_8
Zeta5Irrational
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U_547_9
Zeta5Irrational
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U_547_10
Zeta5Irrational
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U_547_11
Zeta5Irrational
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U_547_12
Zeta5Irrational
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U_547_13
Zeta5Irrational
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U_547_14
Zeta5Irrational
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U_547_15
Zeta5Irrational
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U_547_16
Zeta5Irrational
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U_547
Zeta5Irrational
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U_548_1
Zeta5Irrational
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U_548_2
Zeta5Irrational
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U_548_3
Zeta5Irrational
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U_548_4
Zeta5Irrational
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U_548_5
Zeta5Irrational
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U_548_6
Zeta5Irrational
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U_548_7
Zeta5Irrational
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U_548_8
Zeta5Irrational
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U_548_9
Zeta5Irrational
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U_548_10
Zeta5Irrational
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U_548_11
Zeta5Irrational
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U_548_12
Zeta5Irrational
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U_548_13
Zeta5Irrational
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U_548_14
Zeta5Irrational
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U_548_15
Zeta5Irrational
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U_548_16
Zeta5Irrational
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U_548
Zeta5Irrational
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U_549_1
Zeta5Irrational
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U_549_2
Zeta5Irrational
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U_549_3
Zeta5Irrational
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U_549_4
Zeta5Irrational
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U_549_5
Zeta5Irrational
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U_549_6
Zeta5Irrational
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U_549_7
Zeta5Irrational
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U_549_8
Zeta5Irrational
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U_549_9
Zeta5Irrational
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U_549_10
Zeta5Irrational
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U_549_11
Zeta5Irrational
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U_549_12
Zeta5Irrational
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U_549_13
Zeta5Irrational
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U_549_14
Zeta5Irrational
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U_549_15
Zeta5Irrational
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U_549_16
Zeta5Irrational
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U_549
Zeta5Irrational
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U_550_1
Zeta5Irrational
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U_550_2
Zeta5Irrational
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U_550_3
Zeta5Irrational
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U_550_4
Zeta5Irrational
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U_550_5
Zeta5Irrational
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U_550_6
Zeta5Irrational
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U_550_7
Zeta5Irrational
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U_550_8
Zeta5Irrational
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U_550_9
Zeta5Irrational
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U_550_10
Zeta5Irrational
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U_550_11
Zeta5Irrational
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U_550_12
Zeta5Irrational
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U_550_13
Zeta5Irrational
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U_550_14
Zeta5Irrational
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U_550_15
Zeta5Irrational
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U_550_16
Zeta5Irrational
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U_550
Zeta5Irrational
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U_551_1
Zeta5Irrational
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U_551_2
Zeta5Irrational
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U_551_3
Zeta5Irrational
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U_551_4
Zeta5Irrational
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U_551_5
Zeta5Irrational
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U_551_6
Zeta5Irrational
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U_551_7
Zeta5Irrational
.
U_551_8
Zeta5Irrational
.
U_551_9
Zeta5Irrational
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U_551_10
Zeta5Irrational
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U_551_11
Zeta5Irrational
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U_551_12
Zeta5Irrational
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U_551_13
Zeta5Irrational
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U_551_14
Zeta5Irrational
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U_551_15
Zeta5Irrational
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U_551_16
Zeta5Irrational
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U_551
Zeta5Irrational
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U_552_1
Zeta5Irrational
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U_552_2
Zeta5Irrational
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U_552_3
Zeta5Irrational
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U_552_4
Zeta5Irrational
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U_552_5
Zeta5Irrational
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U_552_6
Zeta5Irrational
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U_552_7
Zeta5Irrational
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U_552_8
Zeta5Irrational
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U_552_9
Zeta5Irrational
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U_552_10
Zeta5Irrational
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U_552_11
Zeta5Irrational
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U_552_12
Zeta5Irrational
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U_552_13
Zeta5Irrational
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U_552_14
Zeta5Irrational
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U_552_15
Zeta5Irrational
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U_552_16
Zeta5Irrational
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U_552
Zeta5Irrational
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U_553_1
Zeta5Irrational
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U_553_2
Zeta5Irrational
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U_553_3
Zeta5Irrational
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U_553_4
Zeta5Irrational
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U_553_5
Zeta5Irrational
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U_553_6
Zeta5Irrational
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U_553_7
Zeta5Irrational
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U_553_8
Zeta5Irrational
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U_553_9
Zeta5Irrational
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U_553_10
Zeta5Irrational
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U_553_11
Zeta5Irrational
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U_553_12
Zeta5Irrational
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U_553_13
Zeta5Irrational
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U_553_14
Zeta5Irrational
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U_553_15
Zeta5Irrational
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U_553_16
Zeta5Irrational
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U_553
Zeta5Irrational
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U_554_1
Zeta5Irrational
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U_554_2
Zeta5Irrational
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U_554_3
Zeta5Irrational
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U_554_4
Zeta5Irrational
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U_554_5
Zeta5Irrational
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U_554_6
Zeta5Irrational
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U_554_7
Zeta5Irrational
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U_554_8
Zeta5Irrational
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U_554_9
Zeta5Irrational
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U_554_10
Zeta5Irrational
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U_554_11
Zeta5Irrational
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U_554_12
Zeta5Irrational
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U_554_13
Zeta5Irrational
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U_554_14
Zeta5Irrational
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U_554_15
Zeta5Irrational
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U_554_16
Zeta5Irrational
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U_554
Zeta5Irrational
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U_555_1
Zeta5Irrational
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U_555_2
Zeta5Irrational
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U_555_3
Zeta5Irrational
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U_555_4
Zeta5Irrational
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U_555_5
Zeta5Irrational
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U_555_6
Zeta5Irrational
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U_555_7
Zeta5Irrational
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U_555_8
Zeta5Irrational
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U_555_9
Zeta5Irrational
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U_555_10
Zeta5Irrational
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U_555_11
Zeta5Irrational
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U_555_12
Zeta5Irrational
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U_555_13
Zeta5Irrational
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U_555_14
Zeta5Irrational
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U_555_15
Zeta5Irrational
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U_555_16
Zeta5Irrational
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U_555
Certified arcsine potential bounds (U45)
#
source
theorem
Zeta5Irrational
.
U_544_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
4969968043179
/
8000000000000
)
≤
-
(
243234294615614466823
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_544_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
4969968043179
/
8000000000000
)
≤
-
(
980732507775771540851
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_544_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
4969968043179
/
8000000000000
)
≤
-
(
2491037061290261113757
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_544_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
4969968043179
/
8000000000000
)
≤
-
(
5113675763595366645521
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_544_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
4969968043179
/
8000000000000
)
≤
-
(
166170619676123348097
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_544_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
4969968043179
/
8000000000000
)
≤
-
(
2808566494661532032637
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_544_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
4969968043179
/
8000000000000
)
≤
-
(
755119197430400781771
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_544_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
4969968043179
/
8000000000000
)
≤
-
(
1655595618708660814971
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_544_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
4969968043179
/
8000000000000
)
≤
-
(
7402464053785215584387
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_544_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
4969968043179
/
8000000000000
)
≤
-
(
4218182011013012442561
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_544_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
4969968043179
/
8000000000000
)
≤
-
(
981205691910561245223
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_544_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
4969968043179
/
8000000000000
)
≤
-
(
292944600445161657491
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_544_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
4969968043179
/
8000000000000
)
≤
-
(
1864386724188942654493
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_544_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
4969968043179
/
8000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_544_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
4969968043179
/
8000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_544_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
4969968043179
/
8000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_544
:
Uρ
(
4969968043179
/
8000000000000
)
≤
-
(
7887909540485613658987
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_545_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
39828536950369
/
64000000000000
)
≤
-
(
4847217421798197610027
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_545_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
39828536950369
/
64000000000000
)
≤
-
(
2443062744530523726207
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_545_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
39828536950369
/
64000000000000
)
≤
-
(
992879575151331134011
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_545_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
39828536950369
/
64000000000000
)
≤
-
(
1273940532409412364583
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_545_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
39828536950369
/
64000000000000
)
≤
-
(
2649584500781039761267
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_545_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
39828536950369
/
64000000000000
)
≤
-
(
559826525414619874691
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_545_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
39828536950369
/
64000000000000
)
≤
-
(
240848857808598739739
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_545_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
39828536950369
/
64000000000000
)
≤
-
(
3300681018533957643367
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_545_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
39828536950369
/
64000000000000
)
≤
-
(
1844874861177744237403
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_545_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
39828536950369
/
64000000000000
)
≤
-
(
336414102829495814321
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_545_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
39828536950369
/
64000000000000
)
≤
-
(
1956172290722271357863
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_545_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
39828536950369
/
64000000000000
)
≤
-
(
11675955630294015158997
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_545_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
39828536950369
/
64000000000000
)
≤
-
(
14831083687162373912247
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_545_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
39828536950369
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_545_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
39828536950369
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_545_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
39828536950369
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_545
:
Uρ
(
39828536950369
/
64000000000000
)
≤
-
(
245766429868497178311
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_546_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
19948664777653
/
32000000000000
)
≤
-
(
4829779413085618008589
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_546_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
19948664777653
/
32000000000000
)
≤
-
(
2434309570975091985393
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_546_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
19948664777653
/
32000000000000
)
≤
-
(
4946752824996576485697
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_546_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
19948664777653
/
32000000000000
)
≤
-
(
1269470136695590692193
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_546_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
19948664777653
/
32000000000000
)
≤
-
(
1056182323825263913179
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_546_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
19948664777653
/
32000000000000
)
≤
-
(
1394858296170015163569
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_546_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
19948664777653
/
32000000000000
)
≤
-
(
6001528506852776076673
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_546_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
19948664777653
/
32000000000000
)
≤
-
(
1316077306315072704157
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_546_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
19948664777653
/
32000000000000
)
≤
-
(
1839147393547709124913
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_546_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
19948664777653
/
32000000000000
)
≤
-
(
8384414277493951212261
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_546_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
19948664777653
/
32000000000000
)
≤
-
(
9749780267626559126277
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_546_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
19948664777653
/
32000000000000
)
≤
-
(
2326874644250277370813
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_546_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
19948664777653
/
32000000000000
)
≤
-
(
14748808740681928824749
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_546_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
19948664777653
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_546_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
19948664777653
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_546_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
19948664777653
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_546
:
Uρ
(
19948664777653
/
32000000000000
)
≤
-
(
7841298324713687178439
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_547_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
39966122160243
/
64000000000000
)
≤
-
(
4812371760118998631747
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_547_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
39966122160243
/
64000000000000
)
≤
-
(
1212785847555891833407
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_547_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
39966122160243
/
64000000000000
)
≤
-
(
2464569430179590840317
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_547_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
39966122160243
/
64000000000000
)
≤
-
(
316251931279762199151
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_547_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
39966122160243
/
64000000000000
)
≤
-
(
5262687560051708840297
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_547_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
39966122160243
/
64000000000000
)
≤
-
(
5560636645839827234383
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_547_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
39966122160243
/
64000000000000
)
≤
-
(
2990937303811851794713
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_547_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
39966122160243
/
64000000000000
)
≤
-
(
3279727881572910084163
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_547_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
39966122160243
/
64000000000000
)
≤
-
(
7333734172046849876191
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_547_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
39966122160243
/
64000000000000
)
≤
-
(
417927435075955961471
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_547_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
39966122160243
/
64000000000000
)
≤
-
(
4859406205668740621801
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_547_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
39966122160243
/
64000000000000
)
≤
-
(
11593033208050026335313
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_547_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
39966122160243
/
64000000000000
)
≤
-
(
183352136630615516529
/
125000000000000000000
)
source
theorem
Zeta5Irrational
.
U_547_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
39966122160243
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_547_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
39966122160243
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_547_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
39966122160243
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_547
:
Uρ
(
39966122160243
/
64000000000000
)
≤
-
(
1954555256450453128983
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_548_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
2001745738259
/
3200000000000
)
≤
-
(
2397497178697846703457
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_548_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
2001745738259
/
3200000000000
)
≤
-
(
1208424531780068070263
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_548_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
2001745738259
/
3200000000000
)
≤
-
(
613944484060455122537
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_548_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
2001745738259
/
3200000000000
)
≤
-
(
252110653838961592423
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_548_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
2001745738259
/
3200000000000
)
≤
-
(
5244496702731643532673
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_548_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
2001745738259
/
3200000000000
)
≤
-
(
55418755033094918291
/
100000000000000000000
)
source
theorem
Zeta5Irrational
.
U_548_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
2001745738259
/
3200000000000
)
≤
-
(
953961534678529139
/
1600000000000000000
)
source
theorem
Zeta5Irrational
.
U_548_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
2001745738259
/
3200000000000
)
≤
-
(
1634642384464888181893
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_548_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
2001745738259
/
3200000000000
)
≤
-
(
3655466485081770504419
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_548_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
2001745738259
/
3200000000000
)
≤
-
(
4166377703121249495059
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_548_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
2001745738259
/
3200000000000
)
≤
-
(
121099461847467560769
/
125000000000000000000
)
source
theorem
Zeta5Irrational
.
U_548_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
2001745738259
/
3200000000000
)
≤
-
(
5775966047425651859671
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_548_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
2001745738259
/
3200000000000
)
≤
-
(
3647270300163015730903
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_548_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
2001745738259
/
3200000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_548_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
2001745738259
/
3200000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_548_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
2001745738259
/
3200000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_548
:
Uρ
(
2001745738259
/
3200000000000
)
≤
-
(
7795288173310978959933
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_549_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
40103707370117
/
64000000000000
)
≤
-
(
1194411774990531570599
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_549_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
40103707370117
/
64000000000000
)
≤
-
(
4816283246437239450033
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_549_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
40103707370117
/
64000000000000
)
≤
-
(
195760150103412896917
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_549_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
40103707370117
/
64000000000000
)
≤
-
(
1256106740590143561431
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_549_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
40103707370117
/
64000000000000
)
≤
-
(
653292365778121990287
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_549_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
40103707370117
/
64000000000000
)
≤
-
(
690393702942002721149
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_549_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
40103707370117
/
64000000000000
)
≤
-
(
185708853261108282267
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_549_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
40103707370117
/
64000000000000
)
≤
-
(
6517727663076715180429
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_549_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
40103707370117
/
64000000000000
)
≤
-
(
7288185702466368188041
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_549_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
40103707370117
/
64000000000000
)
≤
-
(
8307033959244178314683
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_549_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
40103707370117
/
64000000000000
)
≤
-
(
603575809542648455083
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_549_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
40103707370117
/
64000000000000
)
≤
-
(
5755533234833897135403
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_549_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
40103707370117
/
64000000000000
)
≤
-
(
14511458352928684789089
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_549_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
40103707370117
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_549_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
40103707370117
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_549_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
40103707370117
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_549
:
Uρ
(
40103707370117
/
64000000000000
)
≤
-
(
7772494551631630816607
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_550_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
20086249987527
/
32000000000000
)
≤
-
(
4760329883409985412941
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_550_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
20086249987527
/
32000000000000
)
≤
-
(
959779728505078014553
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_550_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
20086249987527
/
32000000000000
)
≤
-
(
2438241196225873571523
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_550_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
20086249987527
/
32000000000000
)
≤
-
(
19557314236304715771
/
39062500000000000000
)
source
theorem
Zeta5Irrational
.
U_550_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
20086249987527
/
32000000000000
)
≤
-
(
520821411025116205967
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_550_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
20086249987527
/
32000000000000
)
≤
-
(
5504458873723566257013
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_550_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
20086249987527
/
32000000000000
)
≤
-
(
1184629118309960228537
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_550_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
20086249987527
/
32000000000000
)
≤
-
(
6496929947425930102249
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_550_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
20086249987527
/
32000000000000
)
≤
-
(
3632746052450233074369
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_550_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
20086249987527
/
32000000000000
)
≤
-
(
8281383932199983076381
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_550_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
20086249987527
/
32000000000000
)
≤
-
(
9626579514052903566141
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_550_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
20086249987527
/
32000000000000
)
≤
-
(
11470433001551724661083
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_550_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
20086249987527
/
32000000000000
)
≤
-
(
7217614053428216597823
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_550_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
20086249987527
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_550_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
20086249987527
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_550_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
20086249987527
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_550
:
Uρ
(
20086249987527
/
32000000000000
)
≤
-
(
7749835359783882693713
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_551_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
40241292579991
/
64000000000000
)
≤
-
(
4743042603872454263259
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_551_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
40241292579991
/
64000000000000
)
≤
-
(
2390772105142890830111
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_551_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
40241292579991
/
64000000000000
)
≤
-
(
2429495842219293840209
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_551_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
40241292579991
/
64000000000000
)
≤
-
(
2494474705526851839749
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_551_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
40241292579991
/
64000000000000
)
≤
-
(
259506106759272505429
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_551_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
40241292579991
/
64000000000000
)
≤
-
(
5485803121827726466689
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_551_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
40241292579991
/
64000000000000
)
≤
-
(
5903646300329178437817
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_551_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
40241292579991
/
64000000000000
)
≤
-
(
6476176200793001902877
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_551_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
40241292579991
/
64000000000000
)
≤
-
(
905356489426210870313
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_551_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
40241292579991
/
64000000000000
)
≤
-
(
412790245041383228599
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_551_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
40241292579991
/
64000000000000
)
≤
-
(
2399013933030365643021
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_551_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
40241292579991
/
64000000000000
)
≤
-
(
11430028437903927354641
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_551_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
40241292579991
/
64000000000000
)
≤
-
(
1436032230020782576113
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_551_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
40241292579991
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_551_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
40241292579991
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_551_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
40241292579991
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_551
:
Uρ
(
40241292579991
/
64000000000000
)
≤
-
(
7727306164144297624663
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_552_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
1259690162029
/
2000000000000
)
≤
-
(
4725785158020472823779
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_552_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
1259690162029
/
2000000000000
)
≤
-
(
4764219845165794570447
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_552_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
1259690162029
/
2000000000000
)
≤
-
(
2420765760732845746699
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_552_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
1259690162029
/
2000000000000
)
≤
-
(
1242814437627491156317
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_552_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
1259690162029
/
2000000000000
)
≤
-
(
5172062882054117301997
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_552_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
1259690162029
/
2000000000000
)
≤
-
(
136679555913746854773
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_552_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
1259690162029
/
2000000000000
)
≤
-
(
5884185278614776937653
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_552_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
1259690162029
/
2000000000000
)
≤
-
(
5164372987447805311
/
8000000000000000000
)
source
theorem
Zeta5Irrational
.
U_552_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
1259690162029
/
2000000000000
)
≤
-
(
3610132436957952754391
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_552_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
1259690162029
/
2000000000000
)
≤
-
(
8230296444833993408677
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_552_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
1259690162029
/
2000000000000
)
≤
-
(
2391410179756399555909
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_552_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
1259690162029
/
2000000000000
)
≤
-
(
11389849601897008077703
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_552_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
1259690162029
/
2000000000000
)
≤
-
(
1428667820436467843137
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_552_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
1259690162029
/
2000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_552_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
1259690162029
/
2000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_552_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
1259690162029
/
2000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_552
:
Uρ
(
1259690162029
/
2000000000000
)
≤
-
(
61639222863656401809
/
80000000000000000000
)
source
theorem
Zeta5Irrational
.
U_553_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
8075775557973
/
12800000000000
)
≤
-
(
294284840191189489643
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_553_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
8075775557973
/
12800000000000
)
≤
-
(
593365680394418844097
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_553_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
8075775557973
/
12800000000000
)
≤
-
(
4824101797013151299569
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_553_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
8075775557973
/
12800000000000
)
≤
-
(
990719470384999601177
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_553_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
8075775557973
/
12800000000000
)
≤
-
(
16106363226655447673
/
31250000000000000000
)
source
theorem
Zeta5Irrational
.
U_553_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
8075775557973
/
12800000000000
)
≤
-
(
2724298043665763560073
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_553_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
8075775557973
/
12800000000000
)
≤
-
(
183273824226132342093
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_553_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
8075775557973
/
12800000000000
)
≤
-
(
3217399930171501478579
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_553_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
8075775557973
/
12800000000000
)
≤
-
(
143954614445972021909
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_553_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
8075775557973
/
12800000000000
)
≤
-
(
4102429073931367588247
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_553_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
8075775557973
/
12800000000000
)
≤
-
(
9535333598606493714421
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_553_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
8075775557973
/
12800000000000
)
≤
-
(
11349893390006880405851
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_553_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
8075775557973
/
12800000000000
)
≤
-
(
7107118967621958687121
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_553_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
8075775557973
/
12800000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_553_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
8075775557973
/
12800000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_553_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
8075775557973
/
12800000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_553
:
Uρ
(
8075775557973
/
12800000000000
)
≤
-
(
3841310813236541712291
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_554_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
20223835197401
/
32000000000000
)
≤
-
(
293209959795218729589
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_554_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
20223835197401
/
32000000000000
)
≤
-
(
4729660900783168347879
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_554_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
20223835197401
/
32000000000000
)
≤
-
(
2403351202558697929501
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_554_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
20223835197401
/
32000000000000
)
≤
-
(
123399202623718425537
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_554_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
20223835197401
/
32000000000000
)
≤
-
(
1284010517231633783179
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_554_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
20223835197401
/
32000000000000
)
≤
-
(
1357511136087193952523
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_554_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
20223835197401
/
32000000000000
)
≤
-
(
5845377439924378908381
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_554_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
20223835197401
/
32000000000000
)
≤
-
(
3207088446241811533109
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_554_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
20223835197401
/
32000000000000
)
≤
-
(
1793812301093678316561
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_554_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
20223835197401
/
32000000000000
)
≤
-
(
4089744798721756566173
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_554_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
20223835197401
/
32000000000000
)
≤
-
(
190102670123856259617
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_554_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
20223835197401
/
32000000000000
)
≤
-
(
113101567696471236689
/
100000000000000000000
)
source
theorem
Zeta5Irrational
.
U_554_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
20223835197401
/
32000000000000
)
≤
-
(
7071473971965871018263
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_554_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
20223835197401
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_554_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
20223835197401
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_554_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
20223835197401
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_554
:
Uρ
(
20223835197401
/
32000000000000
)
≤
-
(
7660458916787004784987
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_555_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
40516462999739
/
64000000000000
)
≤
-
(
1168547699318994396631
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_555_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
40516462999739
/
64000000000000
)
≤
-
(
1178106528778261540091
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_555_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
40516462999739
/
64000000000000
)
≤
-
(
4789333240367326840447
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_555_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
40516462999739
/
64000000000000
)
≤
-
(
2459184949907346047189
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_555_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
40516462999739
/
64000000000000
)
≤
-
(
5118080274195688240163
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_555_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
40516462999739
/
64000000000000
)
≤
-
(
1352881869626692158181
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_555_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
40516462999739
/
64000000000000
)
≤
-
(
1165206064660802796103
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_555_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
40516462999739
/
64000000000000
)
≤
-
(
6393597145535780670923
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_555_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
40516462999739
/
64000000000000
)
≤
-
(
7152820065878755550463
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_555_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
40516462999739
/
64000000000000
)
≤
-
(
1630838076988301541033
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_555_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
40516462999739
/
64000000000000
)
≤
-
(
2368759897097424207653
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_555_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
40516462999739
/
64000000000000
)
≤
-
(
5635318388450483959479
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_555_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
40516462999739
/
64000000000000
)
≤
-
(
7036379287111782039099
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_555_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
40516462999739
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_555_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
40516462999739
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_555_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
40516462999739
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_555
:
Uρ
(
40516462999739
/
64000000000000
)
≤
-
(
3819205705809023544411
/
5000000000000000000000
)