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.
Table
.
U44
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LeanPool.Zeta5Irrational.Table.UpperCertificate
Imported by
Zeta5Irrational
.
U_532_1
Zeta5Irrational
.
U_532_2
Zeta5Irrational
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U_532_3
Zeta5Irrational
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U_532_4
Zeta5Irrational
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U_532_5
Zeta5Irrational
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U_532_6
Zeta5Irrational
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U_532_7
Zeta5Irrational
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U_532_8
Zeta5Irrational
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U_532_9
Zeta5Irrational
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U_532_10
Zeta5Irrational
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U_532_11
Zeta5Irrational
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U_532_12
Zeta5Irrational
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U_532_13
Zeta5Irrational
.
U_532_14
Zeta5Irrational
.
U_532_15
Zeta5Irrational
.
U_532_16
Zeta5Irrational
.
U_532
Zeta5Irrational
.
U_533_1
Zeta5Irrational
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U_533_2
Zeta5Irrational
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U_533_3
Zeta5Irrational
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U_533_4
Zeta5Irrational
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U_533_5
Zeta5Irrational
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U_533_6
Zeta5Irrational
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U_533_7
Zeta5Irrational
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U_533_8
Zeta5Irrational
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U_533_9
Zeta5Irrational
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U_533_10
Zeta5Irrational
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U_533_11
Zeta5Irrational
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U_533_12
Zeta5Irrational
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U_533_13
Zeta5Irrational
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U_533_14
Zeta5Irrational
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U_533_15
Zeta5Irrational
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U_533_16
Zeta5Irrational
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U_533
Zeta5Irrational
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U_534_1
Zeta5Irrational
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U_534_2
Zeta5Irrational
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U_534_3
Zeta5Irrational
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U_534_4
Zeta5Irrational
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U_534_5
Zeta5Irrational
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U_534_6
Zeta5Irrational
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U_534_7
Zeta5Irrational
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U_534_8
Zeta5Irrational
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U_534_9
Zeta5Irrational
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U_534_10
Zeta5Irrational
.
U_534_11
Zeta5Irrational
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U_534_12
Zeta5Irrational
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U_534_13
Zeta5Irrational
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U_534_14
Zeta5Irrational
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U_534_15
Zeta5Irrational
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U_534_16
Zeta5Irrational
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U_534
Zeta5Irrational
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U_535_1
Zeta5Irrational
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U_535_2
Zeta5Irrational
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U_535_3
Zeta5Irrational
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U_535_4
Zeta5Irrational
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U_535_5
Zeta5Irrational
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U_535_6
Zeta5Irrational
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U_535_7
Zeta5Irrational
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U_535_8
Zeta5Irrational
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U_535_9
Zeta5Irrational
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U_535_10
Zeta5Irrational
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U_535_11
Zeta5Irrational
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U_535_12
Zeta5Irrational
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U_535_13
Zeta5Irrational
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U_535_14
Zeta5Irrational
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U_535_15
Zeta5Irrational
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U_535_16
Zeta5Irrational
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U_535
Zeta5Irrational
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U_536_1
Zeta5Irrational
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U_536_2
Zeta5Irrational
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U_536_3
Zeta5Irrational
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U_536_4
Zeta5Irrational
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U_536_5
Zeta5Irrational
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U_536_6
Zeta5Irrational
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U_536_7
Zeta5Irrational
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U_536_8
Zeta5Irrational
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U_536_9
Zeta5Irrational
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U_536_10
Zeta5Irrational
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U_536_11
Zeta5Irrational
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U_536_12
Zeta5Irrational
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U_536_13
Zeta5Irrational
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U_536_14
Zeta5Irrational
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U_536_15
Zeta5Irrational
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U_536_16
Zeta5Irrational
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U_536
Zeta5Irrational
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U_537_1
Zeta5Irrational
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U_537_2
Zeta5Irrational
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U_537_3
Zeta5Irrational
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U_537_4
Zeta5Irrational
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U_537_5
Zeta5Irrational
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U_537_6
Zeta5Irrational
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U_537_7
Zeta5Irrational
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U_537_8
Zeta5Irrational
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U_537_9
Zeta5Irrational
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U_537_10
Zeta5Irrational
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U_537_11
Zeta5Irrational
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U_537_12
Zeta5Irrational
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U_537_13
Zeta5Irrational
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U_537_14
Zeta5Irrational
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U_537_15
Zeta5Irrational
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U_537_16
Zeta5Irrational
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U_537
Zeta5Irrational
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U_538_1
Zeta5Irrational
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U_538_2
Zeta5Irrational
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U_538_3
Zeta5Irrational
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U_538_4
Zeta5Irrational
.
U_538_5
Zeta5Irrational
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U_538_6
Zeta5Irrational
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U_538_7
Zeta5Irrational
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U_538_8
Zeta5Irrational
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U_538_9
Zeta5Irrational
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U_538_10
Zeta5Irrational
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U_538_11
Zeta5Irrational
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U_538_12
Zeta5Irrational
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U_538_13
Zeta5Irrational
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U_538_14
Zeta5Irrational
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U_538_15
Zeta5Irrational
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U_538_16
Zeta5Irrational
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U_538
Zeta5Irrational
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U_539_1
Zeta5Irrational
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U_539_2
Zeta5Irrational
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U_539_3
Zeta5Irrational
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U_539_4
Zeta5Irrational
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U_539_5
Zeta5Irrational
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U_539_6
Zeta5Irrational
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U_539_7
Zeta5Irrational
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U_539_8
Zeta5Irrational
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U_539_9
Zeta5Irrational
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U_539_10
Zeta5Irrational
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U_539_11
Zeta5Irrational
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U_539_12
Zeta5Irrational
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U_539_13
Zeta5Irrational
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U_539_14
Zeta5Irrational
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U_539_15
Zeta5Irrational
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U_539_16
Zeta5Irrational
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U_539
Zeta5Irrational
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U_540_1
Zeta5Irrational
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U_540_2
Zeta5Irrational
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U_540_3
Zeta5Irrational
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U_540_4
Zeta5Irrational
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U_540_5
Zeta5Irrational
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U_540_6
Zeta5Irrational
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U_540_7
Zeta5Irrational
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U_540_8
Zeta5Irrational
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U_540_9
Zeta5Irrational
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U_540_10
Zeta5Irrational
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U_540_11
Zeta5Irrational
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U_540_12
Zeta5Irrational
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U_540_13
Zeta5Irrational
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U_540_14
Zeta5Irrational
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U_540_15
Zeta5Irrational
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U_540_16
Zeta5Irrational
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U_540
Zeta5Irrational
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U_541_1
Zeta5Irrational
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U_541_2
Zeta5Irrational
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U_541_3
Zeta5Irrational
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U_541_4
Zeta5Irrational
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U_541_5
Zeta5Irrational
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U_541_6
Zeta5Irrational
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U_541_7
Zeta5Irrational
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U_541_8
Zeta5Irrational
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U_541_9
Zeta5Irrational
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U_541_10
Zeta5Irrational
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U_541_11
Zeta5Irrational
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U_541_12
Zeta5Irrational
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U_541_13
Zeta5Irrational
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U_541_14
Zeta5Irrational
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U_541_15
Zeta5Irrational
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U_541_16
Zeta5Irrational
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U_541
Zeta5Irrational
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U_542_1
Zeta5Irrational
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U_542_2
Zeta5Irrational
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U_542_3
Zeta5Irrational
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U_542_4
Zeta5Irrational
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U_542_5
Zeta5Irrational
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U_542_6
Zeta5Irrational
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U_542_7
Zeta5Irrational
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U_542_8
Zeta5Irrational
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U_542_9
Zeta5Irrational
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U_542_10
Zeta5Irrational
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U_542_11
Zeta5Irrational
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U_542_12
Zeta5Irrational
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U_542_13
Zeta5Irrational
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U_542_14
Zeta5Irrational
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U_542_15
Zeta5Irrational
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U_542_16
Zeta5Irrational
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U_542
Zeta5Irrational
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U_543_1
Zeta5Irrational
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U_543_2
Zeta5Irrational
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U_543_3
Zeta5Irrational
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U_543_4
Zeta5Irrational
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U_543_5
Zeta5Irrational
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U_543_6
Zeta5Irrational
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U_543_7
Zeta5Irrational
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U_543_8
Zeta5Irrational
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U_543_9
Zeta5Irrational
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U_543_10
Zeta5Irrational
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U_543_11
Zeta5Irrational
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U_543_12
Zeta5Irrational
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U_543_13
Zeta5Irrational
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U_543_14
Zeta5Irrational
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U_543_15
Zeta5Irrational
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U_543_16
Zeta5Irrational
.
U_543
Certified arcsine potential bounds (U44)
#
source
theorem
Zeta5Irrational
.
U_532_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
9733558271547
/
16000000000000
)
≤
-
(
1015344587023385956413
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_532_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
9733558271547
/
16000000000000
)
≤
-
(
2558270898826269298443
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_532_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
9733558271547
/
16000000000000
)
≤
-
(
12991658015855303567
/
25000000000000000000
)
source
theorem
Zeta5Irrational
.
U_532_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
9733558271547
/
16000000000000
)
≤
-
(
5331181911364434298457
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_532_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
9733558271547
/
16000000000000
)
≤
-
(
2769801986054336931911
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_532_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
9733558271547
/
16000000000000
)
≤
-
(
58463779834278348057
/
100000000000000000000
)
source
theorem
Zeta5Irrational
.
U_532_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
9733558271547
/
16000000000000
)
≤
-
(
6280854844228632773047
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_532_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
9733558271547
/
16000000000000
)
≤
-
(
343910265860526981271
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_532_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
9733558271547
/
16000000000000
)
≤
-
(
7682410227718395423797
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_532_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
9733558271547
/
16000000000000
)
≤
-
(
1750874840954918337967
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_532_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
9733558271547
/
16000000000000
)
≤
-
(
2548920187344628660401
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_532_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
9733558271547
/
16000000000000
)
≤
-
(
3060087048242988541479
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_532_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
9733558271547
/
16000000000000
)
≤
-
(
16115495756291320341457
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_532_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
9733558271547
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_532_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
9733558271547
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_532_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
9733558271547
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_532
:
Uρ
(
9733558271547
/
16000000000000
)
≤
-
(
4092119036616476838689
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_533_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
312024205529
/
512000000000
)
≤
-
(
2529440222003763779621
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_533_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
312024205529
/
512000000000
)
≤
-
(
5098627734197961890647
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_533_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
312024205529
/
512000000000
)
≤
-
(
5178603814400613640559
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_533_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
312024205529
/
512000000000
)
≤
-
(
5312874499598534674163
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_533_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
312024205529
/
512000000000
)
≤
-
(
5520902007877414746151
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_533_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
312024205529
/
512000000000
)
≤
-
(
2913535717514371392481
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_533_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
312024205529
/
512000000000
)
≤
-
(
6260639779296802408789
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_533_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
312024205529
/
512000000000
)
≤
-
(
6856629979244132857753
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_533_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
312024205529
/
512000000000
)
≤
-
(
3829383450332178808059
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_533_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
312024205529
/
512000000000
)
≤
-
(
272732777028236039401
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_533_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
312024205529
/
512000000000
)
≤
-
(
10163034798815418328541
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_533_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
312024205529
/
512000000000
)
≤
-
(
12195252362156481322259
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_533_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
312024205529
/
512000000000
)
≤
-
(
3999156105056330198967
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_533_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
312024205529
/
512000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_533_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
312024205529
/
512000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_533_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
312024205529
/
512000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_533
:
Uρ
(
312024205529
/
512000000000
)
≤
-
(
8158113287143502076381
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_534_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
19535909148031
/
32000000000000
)
≤
-
(
2520534865968170005413
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_534_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
19535909148031
/
32000000000000
)
≤
-
(
5080745706614145080733
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_534_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
19535909148031
/
32000000000000
)
≤
-
(
258028849230606099
/
500000000000000000
)
source
theorem
Zeta5Irrational
.
U_534_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
19535909148031
/
32000000000000
)
≤
-
(
5294600563066589342857
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_534_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
19535909148031
/
32000000000000
)
≤
-
(
1100447002148356538251
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_534_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
19535909148031
/
32000000000000
)
≤
-
(
1161560447106391500073
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_534_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
19535909148031
/
32000000000000
)
≤
-
(
1560116466927709879407
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_534_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
19535909148031
/
32000000000000
)
≤
-
(
3417551010603838729737
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_534_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
19535909148031
/
32000000000000
)
≤
-
(
7635181723425072818701
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_534_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
19535909148031
/
32000000000000
)
≤
-
(
8700602322136267647359
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_534_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
19535909148031
/
32000000000000
)
≤
-
(
10130515627069486294957
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_534_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
19535909148031
/
32000000000000
)
≤
-
(
6075226774800110837489
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_534_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
19535909148031
/
32000000000000
)
≤
-
(
3970586139317389642427
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_534_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
19535909148031
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_534_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
19535909148031
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_534_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
19535909148031
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_534
:
Uρ
(
19535909148031
/
32000000000000
)
≤
-
(
8132319092386912548451
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_535_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
39140610900999
/
64000000000000
)
≤
-
(
2511645342950552390927
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_535_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
39140610900999
/
64000000000000
)
≤
-
(
5062895600518868362853
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_535_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
39140610900999
/
64000000000000
)
≤
-
(
1028516519948136732061
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_535_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
39140610900999
/
64000000000000
)
≤
-
(
263817998974931911661
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_535_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
39140610900999
/
64000000000000
)
≤
-
(
685450356247687421249
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_535_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
39140610900999
/
64000000000000
)
≤
-
(
5788570240149873008043
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_535_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
39140610900999
/
64000000000000
)
≤
-
(
3110166470379501080453
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_535_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
39140610900999
/
64000000000000
)
≤
-
(
6813621231441943836873
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_535_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
39140610900999
/
64000000000000
)
≤
-
(
190291359982045990177
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_535_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
39140610900999
/
64000000000000
)
≤
-
(
4336917040251970202751
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_535_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
39140610900999
/
64000000000000
)
≤
-
(
5049061054212899413027
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_535_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
39140610900999
/
64000000000000
)
≤
-
(
12105946844337847702467
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_535_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
39140610900999
/
64000000000000
)
≤
-
(
7886087677459839047893
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_535_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
39140610900999
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_535_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
39140610900999
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_535_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
39140610900999
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_535
:
Uρ
(
39140610900999
/
64000000000000
)
≤
-
(
8106826625353221444803
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_536_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
2450587719121
/
4000000000000
)
≤
-
(
1251385798375307642803
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_536_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
2450587719121
/
4000000000000
)
≤
-
(
5045077302141448493163
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_536_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
2450587719121
/
4000000000000
)
≤
-
(
640577567897808385041
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_536_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
2450587719121
/
4000000000000
)
≤
-
(
164317269602931110393
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_536_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
2450587719121
/
4000000000000
)
≤
-
(
5465005395609099705269
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_536_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
2450587719121
/
4000000000000
)
≤
-
(
1442343826234602812091
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_536_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
2450587719121
/
4000000000000
)
≤
-
(
620024083077386747109
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_536_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
2450587719121
/
4000000000000
)
≤
-
(
6792187399728591460427
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_536_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
2450587719121
/
4000000000000
)
≤
-
(
7588184633861080601369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_536_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
2450587719121
/
4000000000000
)
≤
-
(
1080892956124258428013
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_536_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
2450587719121
/
4000000000000
)
≤
-
(
314557910422104071209
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_536_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
2450587719121
/
4000000000000
)
≤
-
(
6030863735264409501953
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_536_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
2450587719121
/
4000000000000
)
≤
-
(
3133142970538085451271
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_536_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
2450587719121
/
4000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_536_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
2450587719121
/
4000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_536_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
2450587719121
/
4000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_536
:
Uρ
(
2450587719121
/
4000000000000
)
≤
-
(
252550364807948996239
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_537_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
39278196110873
/
64000000000000
)
≤
-
(
2493913571466764627649
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_537_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
39278196110873
/
64000000000000
)
≤
-
(
1005458139663677673063
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_537_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
39278196110873
/
64000000000000
)
≤
-
(
5106690698961235973153
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_537_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
39278196110873
/
64000000000000
)
≤
-
(
5239978385515379585033
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_537_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
39278196110873
/
64000000000000
)
≤
-
(
5446442518364453498131
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_537_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
39278196110873
/
64000000000000
)
≤
-
(
5750217286790455522099
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_537_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
39278196110873
/
64000000000000
)
≤
-
(
6180189371123662487857
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_537_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
39278196110873
/
64000000000000
)
≤
-
(
1692700079319226165529
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_537_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
39278196110873
/
64000000000000
)
≤
-
(
3782386067554484225809
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_537_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
39278196110873
/
64000000000000
)
≤
-
(
8620530541481646251921
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_537_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
39278196110873
/
64000000000000
)
≤
-
(
2508426902235644193011
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_537_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
39278196110873
/
64000000000000
)
≤
-
(
1502223847783784689383
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_537_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
39278196110873
/
64000000000000
)
≤
-
(
15562622929320063846659
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_537_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
39278196110873
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_537_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
39278196110873
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_537_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
39278196110873
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_537
:
Uρ
(
39278196110873
/
64000000000000
)
≤
-
(
4028326837852990601667
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_538_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
3934698871581
/
6400000000000
)
≤
-
(
4970142422987990689033
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_538_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
3934698871581
/
6400000000000
)
≤
-
(
626191959561132738727
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_538_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
3934698871581
/
6400000000000
)
≤
-
(
5088792951723855824927
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_538_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
3934698871581
/
6400000000000
)
≤
-
(
1305459283471519444757
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_538_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
3934698871581
/
6400000000000
)
≤
-
(
339244630606834053439
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_538_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
3934698871581
/
6400000000000
)
≤
-
(
2865548021714676276341
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_538_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
3934698871581
/
6400000000000
)
≤
-
(
24640713584814710663
/
40000000000000000000
)
source
theorem
Zeta5Irrational
.
U_538_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
3934698871581
/
6400000000000
)
≤
-
(
6749459776710677993977
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_538_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
3934698871581
/
6400000000000
)
≤
-
(
3770708306633194469347
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_538_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
3934698871581
/
6400000000000
)
≤
-
(
8593994276661595780249
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_538_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
3934698871581
/
6400000000000
)
≤
-
(
10001684457041864999147
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_538_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
3934698871581
/
6400000000000
)
≤
-
(
5987066129331995198681
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_538_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
3934698871581
/
6400000000000
)
≤
-
(
3092521747675457896549
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_538_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
3934698871581
/
6400000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_538_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
3934698871581
/
6400000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_538_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
3934698871581
/
6400000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_538
:
Uρ
(
3934698871581
/
6400000000000
)
≤
-
(
1003991872383418357177
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_539_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
39415781320747
/
64000000000000
)
≤
-
(
39619911384348771533
/
80000000000000000000
)
source
theorem
Zeta5Irrational
.
U_539_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
39415781320747
/
64000000000000
)
≤
-
(
4991812124691438887987
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_539_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
39415781320747
/
64000000000000
)
≤
-
(
2535463593367915656409
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_539_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
39415781320747
/
64000000000000
)
≤
-
(
162616523524473707163
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_539_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
39415781320747
/
64000000000000
)
≤
-
(
5409419981822095878167
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_539_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
39415781320747
/
64000000000000
)
≤
-
(
2856005716701236298161
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_539_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
39415781320747
/
64000000000000
)
≤
-
(
614020774142777776231
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_539_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
39415781320747
/
64000000000000
)
≤
-
(
6728165572055259940237
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_539_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
39415781320747
/
64000000000000
)
≤
-
(
7518117780844264344539
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_539_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
39415781320747
/
64000000000000
)
≤
-
(
8567534377982396619123
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_539_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
39415781320747
/
64000000000000
)
≤
-
(
1993956523096417586819
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_539_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
39415781320747
/
64000000000000
)
≤
-
(
745671718695141265711
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_539_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
39415781320747
/
64000000000000
)
≤
-
(
7682710624029974679527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_539_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
39415781320747
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_539_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
39415781320747
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_539_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
39415781320747
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_539
:
Uρ
(
39415781320747
/
64000000000000
)
≤
-
(
8007440285446487712989
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_540_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
9871143481421
/
16000000000000
)
≤
-
(
4934866533064163862467
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_540_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
9871143481421
/
16000000000000
)
≤
-
(
497411993155784997629
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_540_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
9871143481421
/
16000000000000
)
≤
-
(
631636661234611895621
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_540_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
9871143481421
/
16000000000000
)
≤
-
(
648206640404216422783
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_540_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
9871143481421
/
16000000000000
)
≤
-
(
5390960067592240995977
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_540_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
9871143481421
/
16000000000000
)
≤
-
(
2846481658037417445579
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_540_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
9871143481421
/
16000000000000
)
≤
-
(
6120277243219995072763
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_540_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
9871143481421
/
16000000000000
)
≤
-
(
670691749872474504841
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_540_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
9871143481421
/
16000000000000
)
≤
-
(
7494875352599199835211
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_540_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
9871143481421
/
16000000000000
)
≤
-
(
8541150373580887895981
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_540_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
9871143481421
/
16000000000000
)
≤
-
(
397520041479983402797
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_540_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
9871143481421
/
16000000000000
)
≤
-
(
475505288755951282507
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_540_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
9871143481421
/
16000000000000
)
≤
-
(
7635420998099539770937
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_540_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
9871143481421
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_540_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
9871143481421
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_540_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
9871143481421
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_540
:
Uρ
(
9871143481421
/
16000000000000
)
≤
-
(
1596631244612458406567
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_541_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
39553366530621
/
64000000000000
)
≤
-
(
4917275143594234884783
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_541_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
39553366530621
/
64000000000000
)
≤
-
(
77444671661105992217
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_541_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
39553366530621
/
64000000000000
)
≤
-
(
2517645573818314008889
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_541_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
39553366530621
/
64000000000000
)
≤
-
(
2583805063455020443923
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_541_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
39553366530621
/
64000000000000
)
≤
-
(
83945847197113369509
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_541_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
39553366530621
/
64000000000000
)
≤
-
(
354621971976424965729
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_541_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
39553366530621
/
64000000000000
)
≤
-
(
3050193369503106150261
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_541_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
39553366530621
/
64000000000000
)
≤
-
(
3342857676754653328359
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_541_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
39553366530621
/
64000000000000
)
≤
-
(
116745141336085632999
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_541_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
39553366530621
/
64000000000000
)
≤
-
(
8514841796218230196619
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_541_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
39553366530621
/
64000000000000
)
≤
-
(
9906338689090923457797
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_541_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
39553366530621
/
64000000000000
)
≤
-
(
2368956448966278179891
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_541_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
39553366530621
/
64000000000000
)
≤
-
(
15178679457575972544311
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_541_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
39553366530621
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_541_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
39553366530621
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_541_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
39553366530621
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_541
:
Uρ
(
39553366530621
/
64000000000000
)
≤
-
(
1591814203017836894719
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_542_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
19811079567779
/
32000000000000
)
≤
-
(
195988585830199645053
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_542_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
19811079567779
/
32000000000000
)
≤
-
(
617353647344841031591
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_542_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
19811079567779
/
32000000000000
)
≤
-
(
5017520647110118038431
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_542_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
19811079567779
/
32000000000000
)
≤
-
(
514959964612481159213
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_542_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
19811079567779
/
32000000000000
)
≤
-
(
1070828463037465693711
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_542_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
19811079567779
/
32000000000000
)
≤
-
(
565497600102780771467
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_542_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
19811079567779
/
32000000000000
)
≤
-
(
6080536067205933051063
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_542_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
19811079567779
/
32000000000000
)
≤
-
(
6664558934562687843943
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_542_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
19811079567779
/
32000000000000
)
≤
-
(
1862139644687844223167
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_542_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
19811079567779
/
32000000000000
)
≤
-
(
8488608183216975225863
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_542_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
19811079567779
/
32000000000000
)
≤
-
(
4937397276860661833359
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_542_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
19811079567779
/
32000000000000
)
≤
-
(
2950548377821138222619
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_542_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
19811079567779
/
32000000000000
)
≤
-
(
15088764605498135512977
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_542_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
19811079567779
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_542_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
19811079567779
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_542_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
19811079567779
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_542
:
Uρ
(
19811079567779
/
32000000000000
)
≤
-
(
7935174218185580261567
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_543_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
7938190348099
/
12800000000000
)
≤
-
(
195287397249608713577
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_543_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
7938190348099
/
12800000000000
)
≤
-
(
492123039929203977663
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_543_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
7938190348099
/
12800000000000
)
≤
-
(
4999781675993666482479
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_543_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
7938190348099
/
12800000000000
)
≤
-
(
2565810781913314626317
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_543_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
7938190348099
/
12800000000000
)
≤
-
(
5335784226300181600677
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_543_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
7938190348099
/
12800000000000
)
≤
-
(
2818018263035098048087
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_543_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
7938190348099
/
12800000000000
)
≤
-
(
1515181266806033804241
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_543_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
7938190348099
/
12800000000000
)
≤
-
(
830431005173728875531
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_543_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
7938190348099
/
12800000000000
)
≤
-
(
3712741836837896895691
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_543_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
7938190348099
/
12800000000000
)
≤
-
(
2115612269099813192683
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_543_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
7938190348099
/
12800000000000
)
≤
-
(
4921683813520243516333
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_543_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
7938190348099
/
12800000000000
)
≤
-
(
11759862056280220014139
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_543_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
7938190348099
/
12800000000000
)
≤
-
(
7500473685979014998829
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_543_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
7938190348099
/
12800000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_543_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
7938190348099
/
12800000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_543_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
7938190348099
/
12800000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_543
:
Uρ
(
7938190348099
/
12800000000000
)
≤
-
(
494466032119251637601
/
625000000000000000000
)