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.
Zeta5Irrational
.
Table
.
U46
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LeanPool.Zeta5Irrational.Table.UpperCertificate
Imported by
Zeta5Irrational
.
U_556_1
Zeta5Irrational
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U_556_2
Zeta5Irrational
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U_556_3
Zeta5Irrational
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U_556_4
Zeta5Irrational
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U_556_5
Zeta5Irrational
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U_556_6
Zeta5Irrational
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U_556_7
Zeta5Irrational
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U_556_8
Zeta5Irrational
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U_556_9
Zeta5Irrational
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U_556_10
Zeta5Irrational
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U_556_11
Zeta5Irrational
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U_556_12
Zeta5Irrational
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U_556_13
Zeta5Irrational
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U_556_14
Zeta5Irrational
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U_556_15
Zeta5Irrational
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U_556_16
Zeta5Irrational
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U_556
Zeta5Irrational
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U_557_1
Zeta5Irrational
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U_557_2
Zeta5Irrational
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U_557_3
Zeta5Irrational
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U_557_4
Zeta5Irrational
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U_557_5
Zeta5Irrational
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U_557_6
Zeta5Irrational
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U_557_7
Zeta5Irrational
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U_557_8
Zeta5Irrational
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U_557_9
Zeta5Irrational
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U_557_10
Zeta5Irrational
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U_557_11
Zeta5Irrational
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U_557_12
Zeta5Irrational
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U_557_13
Zeta5Irrational
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U_557_14
Zeta5Irrational
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U_557_15
Zeta5Irrational
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U_557_16
Zeta5Irrational
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U_557
Zeta5Irrational
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U_558_1
Zeta5Irrational
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U_558_2
Zeta5Irrational
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U_558_3
Zeta5Irrational
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U_558_4
Zeta5Irrational
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U_558_5
Zeta5Irrational
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U_558_6
Zeta5Irrational
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U_558_7
Zeta5Irrational
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U_558_8
Zeta5Irrational
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U_558_9
Zeta5Irrational
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U_558_10
Zeta5Irrational
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U_558_11
Zeta5Irrational
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U_558_12
Zeta5Irrational
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U_558_13
Zeta5Irrational
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U_558_14
Zeta5Irrational
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U_558_15
Zeta5Irrational
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U_558_16
Zeta5Irrational
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U_558
Zeta5Irrational
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U_559_1
Zeta5Irrational
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U_559_2
Zeta5Irrational
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U_559_3
Zeta5Irrational
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U_559_4
Zeta5Irrational
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U_559_5
Zeta5Irrational
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U_559_6
Zeta5Irrational
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U_559_7
Zeta5Irrational
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U_559_8
Zeta5Irrational
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U_559_9
Zeta5Irrational
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U_559_10
Zeta5Irrational
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U_559_11
Zeta5Irrational
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U_559_12
Zeta5Irrational
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U_559_13
Zeta5Irrational
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U_559_14
Zeta5Irrational
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U_559_15
Zeta5Irrational
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U_559_16
Zeta5Irrational
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U_559
Zeta5Irrational
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U_560_1
Zeta5Irrational
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U_560_2
Zeta5Irrational
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U_560_3
Zeta5Irrational
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U_560_4
Zeta5Irrational
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U_560_5
Zeta5Irrational
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U_560_6
Zeta5Irrational
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U_560_7
Zeta5Irrational
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U_560_8
Zeta5Irrational
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U_560_9
Zeta5Irrational
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U_560_10
Zeta5Irrational
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U_560_11
Zeta5Irrational
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U_560_12
Zeta5Irrational
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U_560_13
Zeta5Irrational
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U_560_14
Zeta5Irrational
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U_560_15
Zeta5Irrational
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U_560_16
Zeta5Irrational
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U_560
Zeta5Irrational
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U_561_1
Zeta5Irrational
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U_561_2
Zeta5Irrational
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U_561_3
Zeta5Irrational
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U_561_4
Zeta5Irrational
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U_561_5
Zeta5Irrational
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U_561_6
Zeta5Irrational
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U_561_7
Zeta5Irrational
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U_561_8
Zeta5Irrational
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U_561_9
Zeta5Irrational
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U_561_10
Zeta5Irrational
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U_561_11
Zeta5Irrational
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U_561_12
Zeta5Irrational
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U_561_13
Zeta5Irrational
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U_561_14
Zeta5Irrational
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U_561_15
Zeta5Irrational
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U_561_16
Zeta5Irrational
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U_561
Zeta5Irrational
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U_562_1
Zeta5Irrational
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U_562_2
Zeta5Irrational
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U_562_3
Zeta5Irrational
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U_562_4
Zeta5Irrational
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U_562_5
Zeta5Irrational
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U_562_6
Zeta5Irrational
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U_562_7
Zeta5Irrational
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U_562_8
Zeta5Irrational
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U_562_9
Zeta5Irrational
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U_562_10
Zeta5Irrational
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U_562_11
Zeta5Irrational
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U_562_12
Zeta5Irrational
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U_562_13
Zeta5Irrational
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U_562_14
Zeta5Irrational
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U_562_15
Zeta5Irrational
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U_562_16
Zeta5Irrational
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U_562
Zeta5Irrational
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U_563_1
Zeta5Irrational
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U_563_2
Zeta5Irrational
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U_563_3
Zeta5Irrational
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U_563_4
Zeta5Irrational
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U_563_5
Zeta5Irrational
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U_563_6
Zeta5Irrational
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U_563_7
Zeta5Irrational
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U_563_8
Zeta5Irrational
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U_563_9
Zeta5Irrational
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U_563_10
Zeta5Irrational
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U_563_11
Zeta5Irrational
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U_563_12
Zeta5Irrational
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U_563_13
Zeta5Irrational
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U_563_14
Zeta5Irrational
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U_563_15
Zeta5Irrational
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U_563_16
Zeta5Irrational
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U_563
Zeta5Irrational
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U_564_1
Zeta5Irrational
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U_564_2
Zeta5Irrational
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U_564_3
Zeta5Irrational
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U_564_4
Zeta5Irrational
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U_564_5
Zeta5Irrational
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U_564_6
Zeta5Irrational
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U_564_7
Zeta5Irrational
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U_564_8
Zeta5Irrational
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U_564_9
Zeta5Irrational
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U_564_10
Zeta5Irrational
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U_564_11
Zeta5Irrational
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U_564_12
Zeta5Irrational
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U_564_13
Zeta5Irrational
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U_564_14
Zeta5Irrational
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U_564_15
Zeta5Irrational
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U_564_16
Zeta5Irrational
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U_564
Zeta5Irrational
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U_565_1
Zeta5Irrational
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U_565_2
Zeta5Irrational
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U_565_3
Zeta5Irrational
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U_565_4
Zeta5Irrational
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U_565_5
Zeta5Irrational
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U_565_6
Zeta5Irrational
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U_565_7
Zeta5Irrational
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U_565_8
Zeta5Irrational
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U_565_9
Zeta5Irrational
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U_565_10
Zeta5Irrational
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U_565_11
Zeta5Irrational
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U_565_12
Zeta5Irrational
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U_565_13
Zeta5Irrational
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U_565_14
Zeta5Irrational
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U_565_15
Zeta5Irrational
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U_565_16
Zeta5Irrational
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U_565
Zeta5Irrational
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U_566_1
Zeta5Irrational
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U_566_2
Zeta5Irrational
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U_566_3
Zeta5Irrational
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U_566_4
Zeta5Irrational
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U_566_5
Zeta5Irrational
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U_566_6
Zeta5Irrational
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U_566_7
Zeta5Irrational
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U_566_8
Zeta5Irrational
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U_566_9
Zeta5Irrational
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U_566_10
Zeta5Irrational
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U_566_11
Zeta5Irrational
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U_566_12
Zeta5Irrational
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U_566_13
Zeta5Irrational
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U_566_14
Zeta5Irrational
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U_566_15
Zeta5Irrational
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U_566_16
Zeta5Irrational
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U_566
Zeta5Irrational
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U_567_1
Zeta5Irrational
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U_567_2
Zeta5Irrational
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U_567_3
Zeta5Irrational
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U_567_4
Zeta5Irrational
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U_567_5
Zeta5Irrational
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U_567_6
Zeta5Irrational
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U_567_7
Zeta5Irrational
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U_567_8
Zeta5Irrational
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U_567_9
Zeta5Irrational
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U_567_10
Zeta5Irrational
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U_567_11
Zeta5Irrational
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U_567_12
Zeta5Irrational
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U_567_13
Zeta5Irrational
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U_567_14
Zeta5Irrational
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U_567_15
Zeta5Irrational
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U_567_16
Zeta5Irrational
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U_567
Certified arcsine potential bounds (U46)
#
source
theorem
Zeta5Irrational
.
U_556_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
10146313901169
/
16000000000000
)
≤
-
(
291065728968855683219
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_556_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
10146313901169
/
16000000000000
)
≤
-
(
2347610491870088450017
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_556_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
10146313901169
/
16000000000000
)
≤
-
(
4771994197900481931239
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_556_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
10146313901169
/
16000000000000
)
≤
-
(
2450401313667920874891
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_556_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
10146313901169
/
16000000000000
)
≤
-
(
1275037682980197292503
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_556_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
10146313901169
/
16000000000000
)
≤
-
(
5393044761434235189473
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_556_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
10146313901169
/
16000000000000
)
≤
-
(
362920054805424530923
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_556_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
10146313901169
/
16000000000000
)
≤
-
(
6373060435506251966543
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_556_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
10146313901169
/
16000000000000
)
≤
-
(
1426088610888638727831
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_556_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
10146313901169
/
16000000000000
)
≤
-
(
508060006594250466711
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_556_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
10146313901169
/
16000000000000
)
≤
-
(
1180631375359092244143
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_556_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
10146313901169
/
16000000000000
)
≤
-
(
11231330514346018154391
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_556_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
10146313901169
/
16000000000000
)
≤
-
(
14003623676628956738161
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_556_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
10146313901169
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_556_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
10146313901169
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_556_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
10146313901169
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_556
:
Uρ
(
10146313901169
/
16000000000000
)
≤
-
(
7616476006420413902031
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_557_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
40654048209613
/
64000000000000
)
≤
-
(
2319970927352704056403
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_557_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
40654048209613
/
64000000000000
)
≤
-
(
1169511351196875418163
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_557_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
40654048209613
/
64000000000000
)
≤
-
(
4754685173399231974649
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_557_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
40654048209613
/
64000000000000
)
≤
-
(
2441633089450279375213
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_557_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
40654048209613
/
64000000000000
)
≤
-
(
5082253326313264360587
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_557_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
40654048209613
/
64000000000000
)
≤
-
(
5374596265478078590309
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_557_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
40654048209613
/
64000000000000
)
≤
-
(
2893724476532077899517
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_557_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
40654048209613
/
64000000000000
)
≤
-
(
6352566579593873370831
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_557_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
40654048209613
/
64000000000000
)
≤
-
(
177702947989476951683
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_557_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
40654048209613
/
64000000000000
)
≤
-
(
253243698688492737057
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_557_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
40654048209613
/
64000000000000
)
≤
-
(
9415166918186793190237
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_557_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
40654048209613
/
64000000000000
)
≤
-
(
11192235148967130137221
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_557_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
40654048209613
/
64000000000000
)
≤
-
(
6967750135136901165281
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_557_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
40654048209613
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_557_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
40654048209613
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_557_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
40654048209613
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_557
:
Uρ
(
40654048209613
/
64000000000000
)
≤
-
(
7594649789318552314463
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_558_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
814456816291
/
1280000000000
)
≤
-
(
4622861270707890117367
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_558_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
814456816291
/
1280000000000
)
≤
-
(
4660899276902082966911
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_558_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
814456816291
/
1280000000000
)
≤
-
(
4737406063087016598307
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_558_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
814456816291
/
1280000000000
)
≤
-
(
4865760446468570302513
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_558_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
814456816291
/
1280000000000
)
≤
-
(
2532193971103932224791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_558_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
814456816291
/
1280000000000
)
≤
-
(
1339045465924501048353
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_558_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
814456816291
/
1280000000000
)
≤
-
(
2884107202550171195271
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_558_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
814456816291
/
1280000000000
)
≤
-
(
633211539617910829051
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_558_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
814456816291
/
1280000000000
)
≤
-
(
3542922206328462858359
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_558_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
814456816291
/
1280000000000
)
≤
-
(
1009838093136397352783
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_558_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
814456816291
/
1280000000000
)
≤
-
(
9385386513549517948139
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_558_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
814456816291
/
1280000000000
)
≤
-
(
11153347910153076889553
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_558_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
814456816291
/
1280000000000
)
≤
-
(
13868348245627295984087
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_558_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
814456816291
/
1280000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_558_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
814456816291
/
1280000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_558_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
814456816291
/
1280000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_558
:
Uρ
(
814456816291
/
1280000000000
)
≤
-
(
1893232505862725806829
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_559_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
40791633419487
/
64000000000000
)
≤
-
(
2302904905921185912749
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_559_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
40791633419487
/
64000000000000
)
≤
-
(
580472812406440178227
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_559_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
40791633419487
/
64000000000000
)
≤
-
(
472015676372460509977
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_559_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
40791633419487
/
64000000000000
)
≤
-
(
151508916330217477677
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_559_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
40791633419487
/
64000000000000
)
≤
-
(
5046554465058193984063
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_559_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
40791633419487
/
64000000000000
)
≤
-
(
533780142986120744697
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_559_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
40791633419487
/
64000000000000
)
≤
-
(
5749017087125469562931
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_559_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
40791633419487
/
64000000000000
)
≤
-
(
631170670481372951783
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_559_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
40791633419487
/
64000000000000
)
≤
-
(
353181114344393088867
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_559_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
40791633419487
/
64000000000000
)
≤
-
(
402683943645360927051
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_559_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
40791633419487
/
64000000000000
)
≤
-
(
146182952791553937827
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_559_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
40791633419487
/
64000000000000
)
≤
-
(
11114666087772948681293
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_559_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
40791633419487
/
64000000000000
)
≤
-
(
13802130104783206082597
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_559_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
40791633419487
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_559_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
40791633419487
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_559_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
40791633419487
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_559
:
Uρ
(
40791633419487
/
64000000000000
)
≤
-
(
3775657065764696745661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_560_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
5107553253053
/
8000000000000
)
≤
-
(
2294393689475535923337
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_560_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
5107553253053
/
8000000000000
)
≤
-
(
4626694971520392917771
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_560_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
5107553253053
/
8000000000000
)
≤
-
(
940587434521278228623
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_560_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
5107553253053
/
8000000000000
)
≤
-
(
1207710175071547666761
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_560_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
5107553253053
/
8000000000000
)
≤
-
(
251437639046613927597
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_560_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
5107553253053
/
8000000000000
)
≤
-
(
5319454838437104841271
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_560_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
5107553253053
/
8000000000000
)
≤
-
(
2864928427064339415983
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_560_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
5107553253053
/
8000000000000
)
≤
-
(
6291340326210612036741
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_560_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
5107553253053
/
8000000000000
)
≤
-
(
7041451297304985064883
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_560_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
5107553253053
/
8000000000000
)
≤
-
(
4014360175648586768127
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_560_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
5107553253053
/
8000000000000
)
≤
-
(
932613351350855815937
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_560_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
5107553253053
/
8000000000000
)
≤
-
(
2769046757582107150309
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_560_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
5107553253053
/
8000000000000
)
≤
-
(
13736810718800869438119
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_560_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
5107553253053
/
8000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_560_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
5107553253053
/
8000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_560_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
5107553253053
/
8000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_560
:
Uρ
(
5107553253053
/
8000000000000
)
≤
-
(
1505959936281701094027
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_561_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
20499005617149
/
32000000000000
)
≤
-
(
2277414598492095836739
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_561_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
20499005617149
/
32000000000000
)
≤
-
(
4592607267118482431659
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_561_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
20499005617149
/
32000000000000
)
≤
-
(
4668586706926270342089
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_561_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
20499005617149
/
32000000000000
)
≤
-
(
479604253574241296943
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_561_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
20499005617149
/
32000000000000
)
≤
-
(
4993244339069595102151
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_561_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
20499005617149
/
32000000000000
)
≤
-
(
5282862684184516705617
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_561_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
20499005617149
/
32000000000000
)
≤
-
(
1138329413456083984391
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_561_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
20499005617149
/
32000000000000
)
≤
-
(
6250733795887733386939
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_561_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
20499005617149
/
32000000000000
)
≤
-
(
3498630877915021785957
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_561_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
20499005617149
/
32000000000000
)
≤
-
(
3989501908388574488219
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_561_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
20499005617149
/
32000000000000
)
≤
-
(
4633642821382275522129
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_561_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
20499005617149
/
32000000000000
)
≤
-
(
10999826886831738863463
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_561_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
20499005617149
/
32000000000000
)
≤
-
(
1701092299087291908943
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_561_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
20499005617149
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_561_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
20499005617149
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_561_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
20499005617149
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_561
:
Uρ
(
20499005617149
/
32000000000000
)
≤
-
(
1497413207056877704401
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_562_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
10283899111043
/
16000000000000
)
≤
-
(
565123242699242190631
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_562_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
10283899111043
/
16000000000000
)
≤
-
(
227931768568958541353
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_562_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
10283899111043
/
16000000000000
)
≤
-
(
4634353854935592034951
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_562_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
10283899111043
/
16000000000000
)
≤
-
(
74396329823126201829
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_562_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
10283899111043
/
16000000000000
)
≤
-
(
4957861717286478519223
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_562_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
10283899111043
/
16000000000000
)
≤
-
(
5246404410543003654287
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_562_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
10283899111043
/
16000000000000
)
≤
-
(
282679195069658106583
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_562_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
10283899111043
/
16000000000000
)
≤
-
(
621029439375479713257
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_562_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
10283899111043
/
16000000000000
)
≤
-
(
6953273864243853381139
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_562_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
10283899111043
/
16000000000000
)
≤
-
(
7929552090284195248573
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_562_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
10283899111043
/
16000000000000
)
≤
-
(
92088367002658787047
/
100000000000000000000
)
source
theorem
Zeta5Irrational
.
U_562_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
10283899111043
/
16000000000000
)
≤
-
(
5462123687277067907423
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_562_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
10283899111043
/
16000000000000
)
≤
-
(
13483890514746875546159
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_562_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
10283899111043
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_562_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
10283899111043
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_562_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
10283899111043
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_562
:
Uρ
(
10283899111043
/
16000000000000
)
≤
-
(
3722356053754804569431
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_563_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
20636590827023
/
32000000000000
)
≤
-
(
1121814209373083173601
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_563_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
20636590827023
/
32000000000000
)
≤
-
(
565597312504274044621
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_563_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
20636590827023
/
32000000000000
)
≤
-
(
184009512553182304903
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_563_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
20636590827023
/
32000000000000
)
≤
-
(
1181701895927001116443
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_563_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
20636590827023
/
32000000000000
)
≤
-
(
4922604025803230328569
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_563_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
20636590827023
/
32000000000000
)
≤
-
(
2605039519011009743847
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_563_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
20636590827023
/
32000000000000
)
≤
-
(
1123133245324348551683
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_563_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
20636590827023
/
32000000000000
)
≤
-
(
6170020726299281010733
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_563_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
20636590827023
/
32000000000000
)
≤
-
(
3454742864578543876601
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_563_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
20636590827023
/
32000000000000
)
≤
-
(
1576072435054941454207
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_563_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
20636590827023
/
32000000000000
)
≤
-
(
9150780638360100323413
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_563_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
20636590827023
/
32000000000000
)
≤
-
(
542471460987771583411
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_563_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
20636590827023
/
32000000000000
)
≤
-
(
2672410650574187809643
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_563_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
20636590827023
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_563_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
20636590827023
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_563_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
20636590827023
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_563
:
Uρ
(
20636590827023
/
32000000000000
)
≤
-
(
740272258788343837463
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_564_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
517634585799
/
800000000000
)
≤
-
(
4453641117210170942821
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_564_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
517634585799
/
800000000000
)
≤
-
(
4491035876755540387069
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_564_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
517634585799
/
800000000000
)
≤
-
(
4566237788996584143217
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_564_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
517634585799
/
800000000000
)
≤
-
(
58654614175999811513
/
125000000000000000000
)
source
theorem
Zeta5Irrational
.
U_564_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
517634585799
/
800000000000
)
≤
-
(
977494076851752214137
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_564_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
517634585799
/
800000000000
)
≤
-
(
5173885597877607211283
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_564_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
517634585799
/
800000000000
)
≤
-
(
1394473231557664473619
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_564_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
517634585799
/
800000000000
)
≤
-
(
766238927205555868307
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_564_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
517634585799
/
800000000000
)
≤
-
(
6865895476826353308691
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_564_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
517634585799
/
800000000000
)
≤
-
(
7831431128554380707361
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_564_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
517634585799
/
800000000000
)
≤
-
(
9093111557506252195301
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_564_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
517634585799
/
800000000000
)
≤
-
(
5387676966162376967213
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_564_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
517634585799
/
800000000000
)
≤
-
(
3310758912492028501331
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_564_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
517634585799
/
800000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_564_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
517634585799
/
800000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_564_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
517634585799
/
800000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_564
:
Uρ
(
517634585799
/
800000000000
)
≤
-
(
3680541795298583111983
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_565_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
20774176036897
/
32000000000000
)
≤
-
(
11050345052480570479
/
25000000000000000000
)
source
theorem
Zeta5Irrational
.
U_565_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
20774176036897
/
32000000000000
)
≤
-
(
4457406733048630161033
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_565_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
20774176036897
/
32000000000000
)
≤
-
(
4532352993907169877393
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_565_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
20774176036897
/
32000000000000
)
≤
-
(
232902447078791866397
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_565_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
20774176036897
/
32000000000000
)
≤
-
(
4852459921577938326357
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_565_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
20774176036897
/
32000000000000
)
≤
-
(
64222789149440470487
/
125000000000000000000
)
source
theorem
Zeta5Irrational
.
U_565_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
20774176036897
/
32000000000000
)
≤
-
(
5540262896390538563607
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_565_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
20774176036897
/
32000000000000
)
≤
-
(
6089965109248601034731
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_565_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
20774176036897
/
32000000000000
)
≤
-
(
213203164631554066227
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_565_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
20774176036897
/
32000000000000
)
≤
-
(
3891378029483553701593
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_565_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
20774176036897
/
32000000000000
)
≤
-
(
9035823701220572399023
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_565_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
20774176036897
/
32000000000000
)
≤
-
(
5351001880761519242997
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_565_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
20774176036897
/
32000000000000
)
≤
-
(
13126666327036419575017
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_565_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
20774176036897
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_565_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
20774176036897
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_565_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
20774176036897
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_565
:
Uρ
(
20774176036897
/
32000000000000
)
≤
-
(
457486403617067305977
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_566_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
10421484320917
/
16000000000000
)
≤
-
(
438674679669422764263
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_566_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
10421484320917
/
16000000000000
)
≤
-
(
552986288518407495121
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_566_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
10421484320917
/
16000000000000
)
≤
-
(
1124645662501160291839
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_566_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
10421484320917
/
16000000000000
)
≤
-
(
4623846196384515435809
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_566_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
10421484320917
/
16000000000000
)
≤
-
(
963514355168254296311
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_566_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
10421484320917
/
16000000000000
)
≤
-
(
5101890692535526692447
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_566_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
10421484320917
/
16000000000000
)
≤
-
(
1375693761494647139359
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_566_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
10421484320917
/
16000000000000
)
≤
-
(
3025090229805417688551
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_566_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
10421484320917
/
16000000000000
)
≤
-
(
1355860257608270240147
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_566_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
10421484320917
/
16000000000000
)
≤
-
(
1933583531531276978283
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_566_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
10421484320917
/
16000000000000
)
≤
-
(
140295491425674205323
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_566_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
10421484320917
/
16000000000000
)
≤
-
(
10629361654901392404073
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_566_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
10421484320917
/
16000000000000
)
≤
-
(
13012790773802567949037
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_566_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
10421484320917
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_566_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
10421484320917
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_566_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
10421484320917
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_566
:
Uρ
(
10421484320917
/
16000000000000
)
≤
-
(
3639403798061565336769
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_567_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
20911761246771
/
32000000000000
)
≤
-
(
4353466699681521755969
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_567_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
20911761246771
/
32000000000000
)
≤
-
(
4390485848910326832271
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_567_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
20911761246771
/
32000000000000
)
≤
-
(
558115748324716916001
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_567_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
20911761246771
/
32000000000000
)
≤
-
(
1147440024247301742847
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_567_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
20911761246771
/
32000000000000
)
≤
-
(
239140254707843448427
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_567_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
20911761246771
/
32000000000000
)
≤
-
(
5066087342182747444541
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_567_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
20911761246771
/
32000000000000
)
≤
-
(
2732714148191447201139
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_567_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
20911761246771
/
32000000000000
)
≤
-
(
6010556143983057996553
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_567_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
20911761246771
/
32000000000000
)
≤
-
(
168407343672909906301
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_567_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
20911761246771
/
32000000000000
)
≤
-
(
1921540634794681486427
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_567_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
20911761246771
/
32000000000000
)
≤
-
(
892236932291373259771
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_567_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
20911761246771
/
32000000000000
)
≤
-
(
10557411220120595044881
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_567_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
20911761246771
/
32000000000000
)
≤
-
(
3225317275922843369361
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_567_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
20911761246771
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_567_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
20911761246771
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_567_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
20911761246771
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_567
:
Uρ
(
20911761246771
/
32000000000000
)
≤
-
(
7238148340803391625791
/
10000000000000000000000
)