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.
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.
Table
.
U28
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LeanPool.Zeta5Irrational.Table.UpperCertificate
Imported by
Zeta5Irrational
.
U_340_1
Zeta5Irrational
.
U_340_2
Zeta5Irrational
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U_340_3
Zeta5Irrational
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U_340_4
Zeta5Irrational
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U_340_5
Zeta5Irrational
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U_340_6
Zeta5Irrational
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U_340_7
Zeta5Irrational
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U_340_8
Zeta5Irrational
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U_340_9
Zeta5Irrational
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U_340_10
Zeta5Irrational
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U_340_11
Zeta5Irrational
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U_340_12
Zeta5Irrational
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U_340_13
Zeta5Irrational
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U_340_14
Zeta5Irrational
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U_340_15
Zeta5Irrational
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U_340_16
Zeta5Irrational
.
U_340
Zeta5Irrational
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U_341_1
Zeta5Irrational
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U_341_2
Zeta5Irrational
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U_341_3
Zeta5Irrational
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U_341_4
Zeta5Irrational
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U_341_5
Zeta5Irrational
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U_341_6
Zeta5Irrational
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U_341_7
Zeta5Irrational
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U_341_8
Zeta5Irrational
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U_341_9
Zeta5Irrational
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U_341_10
Zeta5Irrational
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U_341_11
Zeta5Irrational
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U_341_12
Zeta5Irrational
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U_341_13
Zeta5Irrational
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U_341_14
Zeta5Irrational
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U_341_15
Zeta5Irrational
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U_341_16
Zeta5Irrational
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U_341
Zeta5Irrational
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U_342_1
Zeta5Irrational
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U_342_2
Zeta5Irrational
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U_342_3
Zeta5Irrational
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U_342_4
Zeta5Irrational
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U_342_5
Zeta5Irrational
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U_342_6
Zeta5Irrational
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U_342_7
Zeta5Irrational
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U_342_8
Zeta5Irrational
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U_342_9
Zeta5Irrational
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U_342_10
Zeta5Irrational
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U_342_11
Zeta5Irrational
.
U_342_12
Zeta5Irrational
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U_342_13
Zeta5Irrational
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U_342_14
Zeta5Irrational
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U_342_15
Zeta5Irrational
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U_342_16
Zeta5Irrational
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U_342
Zeta5Irrational
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U_343_1
Zeta5Irrational
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U_343_2
Zeta5Irrational
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U_343_3
Zeta5Irrational
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U_343_4
Zeta5Irrational
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U_343_5
Zeta5Irrational
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U_343_6
Zeta5Irrational
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U_343_7
Zeta5Irrational
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U_343_8
Zeta5Irrational
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U_343_9
Zeta5Irrational
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U_343_10
Zeta5Irrational
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U_343_11
Zeta5Irrational
.
U_343_12
Zeta5Irrational
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U_343_13
Zeta5Irrational
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U_343_14
Zeta5Irrational
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U_343_15
Zeta5Irrational
.
U_343_16
Zeta5Irrational
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U_343
Zeta5Irrational
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U_344_1
Zeta5Irrational
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U_344_2
Zeta5Irrational
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U_344_3
Zeta5Irrational
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U_344_4
Zeta5Irrational
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U_344_5
Zeta5Irrational
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U_344_6
Zeta5Irrational
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U_344_7
Zeta5Irrational
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U_344_8
Zeta5Irrational
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U_344_9
Zeta5Irrational
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U_344_10
Zeta5Irrational
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U_344_11
Zeta5Irrational
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U_344_12
Zeta5Irrational
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U_344_13
Zeta5Irrational
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U_344_14
Zeta5Irrational
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U_344_15
Zeta5Irrational
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U_344_16
Zeta5Irrational
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U_344
Zeta5Irrational
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U_345_1
Zeta5Irrational
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U_345_2
Zeta5Irrational
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U_345_3
Zeta5Irrational
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U_345_4
Zeta5Irrational
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U_345_5
Zeta5Irrational
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U_345_6
Zeta5Irrational
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U_345_7
Zeta5Irrational
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U_345_8
Zeta5Irrational
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U_345_9
Zeta5Irrational
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U_345_10
Zeta5Irrational
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U_345_11
Zeta5Irrational
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U_345_12
Zeta5Irrational
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U_345_13
Zeta5Irrational
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U_345_14
Zeta5Irrational
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U_345_15
Zeta5Irrational
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U_345_16
Zeta5Irrational
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U_345
Zeta5Irrational
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U_346_1
Zeta5Irrational
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U_346_2
Zeta5Irrational
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U_346_3
Zeta5Irrational
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U_346_4
Zeta5Irrational
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U_346_5
Zeta5Irrational
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U_346_6
Zeta5Irrational
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U_346_7
Zeta5Irrational
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U_346_8
Zeta5Irrational
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U_346_9
Zeta5Irrational
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U_346_10
Zeta5Irrational
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U_346_11
Zeta5Irrational
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U_346_12
Zeta5Irrational
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U_346_13
Zeta5Irrational
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U_346_14
Zeta5Irrational
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U_346_15
Zeta5Irrational
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U_346_16
Zeta5Irrational
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U_346
Zeta5Irrational
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U_347_1
Zeta5Irrational
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U_347_2
Zeta5Irrational
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U_347_3
Zeta5Irrational
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U_347_4
Zeta5Irrational
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U_347_5
Zeta5Irrational
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U_347_6
Zeta5Irrational
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U_347_7
Zeta5Irrational
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U_347_8
Zeta5Irrational
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U_347_9
Zeta5Irrational
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U_347_10
Zeta5Irrational
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U_347_11
Zeta5Irrational
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U_347_12
Zeta5Irrational
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U_347_13
Zeta5Irrational
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U_347_14
Zeta5Irrational
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U_347_15
Zeta5Irrational
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U_347_16
Zeta5Irrational
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U_347
Zeta5Irrational
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U_348_1
Zeta5Irrational
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U_348_2
Zeta5Irrational
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U_348_3
Zeta5Irrational
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U_348_4
Zeta5Irrational
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U_348_5
Zeta5Irrational
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U_348_6
Zeta5Irrational
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U_348_7
Zeta5Irrational
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U_348_8
Zeta5Irrational
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U_348_9
Zeta5Irrational
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U_348_10
Zeta5Irrational
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U_348_11
Zeta5Irrational
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U_348_12
Zeta5Irrational
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U_348_13
Zeta5Irrational
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U_348_14
Zeta5Irrational
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U_348_15
Zeta5Irrational
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U_348_16
Zeta5Irrational
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U_348
Zeta5Irrational
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U_349_1
Zeta5Irrational
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U_349_2
Zeta5Irrational
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U_349_3
Zeta5Irrational
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U_349_4
Zeta5Irrational
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U_349_5
Zeta5Irrational
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U_349_6
Zeta5Irrational
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U_349_7
Zeta5Irrational
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U_349_8
Zeta5Irrational
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U_349_9
Zeta5Irrational
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U_349_10
Zeta5Irrational
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U_349_11
Zeta5Irrational
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U_349_12
Zeta5Irrational
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U_349_13
Zeta5Irrational
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U_349_14
Zeta5Irrational
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U_349_15
Zeta5Irrational
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U_349_16
Zeta5Irrational
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U_349
Zeta5Irrational
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U_350_1
Zeta5Irrational
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U_350_2
Zeta5Irrational
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U_350_3
Zeta5Irrational
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U_350_4
Zeta5Irrational
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U_350_5
Zeta5Irrational
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U_350_6
Zeta5Irrational
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U_350_7
Zeta5Irrational
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U_350_8
Zeta5Irrational
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U_350_9
Zeta5Irrational
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U_350_10
Zeta5Irrational
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U_350_11
Zeta5Irrational
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U_350_12
Zeta5Irrational
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U_350_13
Zeta5Irrational
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U_350_14
Zeta5Irrational
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U_350_15
Zeta5Irrational
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U_350_16
Zeta5Irrational
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U_350
Zeta5Irrational
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U_351_1
Zeta5Irrational
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U_351_2
Zeta5Irrational
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U_351_3
Zeta5Irrational
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U_351_4
Zeta5Irrational
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U_351_5
Zeta5Irrational
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U_351_6
Zeta5Irrational
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U_351_7
Zeta5Irrational
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U_351_8
Zeta5Irrational
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U_351_9
Zeta5Irrational
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U_351_10
Zeta5Irrational
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U_351_11
Zeta5Irrational
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U_351_12
Zeta5Irrational
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U_351_13
Zeta5Irrational
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U_351_14
Zeta5Irrational
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U_351_15
Zeta5Irrational
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U_351_16
Zeta5Irrational
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U_351
Certified arcsine potential bounds (U28)
#
source
theorem
Zeta5Irrational
.
U_340_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
200369118629
/
640000000000
)
≤
-
(
369418863686504577121
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_340_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
200369118629
/
640000000000
)
≤
-
(
5950098832509869832131
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_340_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
200369118629
/
640000000000
)
≤
-
(
1507522950055079918221
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_340_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
200369118629
/
640000000000
)
≤
-
(
616666543212505308213
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_340_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
200369118629
/
640000000000
)
≤
-
(
3192188962342959562939
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_340_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
200369118629
/
640000000000
)
≤
-
(
13440584727778944987359
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_340_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
200369118629
/
640000000000
)
≤
-
(
7235321489269726734981
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_340_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
200369118629
/
640000000000
)
≤
-
(
8052373851717295670201
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_340_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
200369118629
/
640000000000
)
≤
-
(
19129132475187687634013
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_340_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
200369118629
/
640000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_340_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
200369118629
/
640000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_340_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
200369118629
/
640000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_340_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
200369118629
/
640000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_340_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
200369118629
/
640000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_340_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
200369118629
/
640000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_340_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
200369118629
/
640000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_340
:
Uρ
(
200369118629
/
640000000000
)
≤
-
(
3956263075367200025727
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_341_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
10096199488703
/
32000000000000
)
≤
-
(
11742480570451772639849
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_341_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
10096199488703
/
32000000000000
)
≤
-
(
11820645091192290518187
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_341_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
10096199488703
/
32000000000000
)
≤
-
(
11979329423253933029181
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_341_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
10096199488703
/
32000000000000
)
≤
-
(
12250179083177582271047
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_341_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
10096199488703
/
32000000000000
)
≤
-
(
2536346345276691305741
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_341_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
10096199488703
/
32000000000000
)
≤
-
(
13347023103751467493021
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_341_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
10096199488703
/
32000000000000
)
≤
-
(
1795684838138299536907
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_341_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
10096199488703
/
32000000000000
)
≤
-
(
1996986356463040772307
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_341_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
10096199488703
/
32000000000000
)
≤
-
(
18924646561087487775289
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_341_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
10096199488703
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_341_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
10096199488703
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_341_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
10096199488703
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_341_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
10096199488703
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_341_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
10096199488703
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_341_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
10096199488703
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_341_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
10096199488703
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_341
:
Uρ
(
10096199488703
/
32000000000000
)
≤
-
(
15761808112806890583937
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_342_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
2543485761489
/
8000000000000
)
≤
-
(
11664175534405795398607
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_342_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
2543485761489
/
8000000000000
)
≤
-
(
5870860263786756796371
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_342_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
2543485761489
/
8000000000000
)
≤
-
(
2974781067166648350813
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_342_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
2543485761489
/
8000000000000
)
≤
-
(
6083857343180408154369
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_342_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
2543485761489
/
8000000000000
)
≤
-
(
12595463419058547117867
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_342_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
2543485761489
/
8000000000000
)
≤
-
(
6627172050807757955697
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_342_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
2543485761489
/
8000000000000
)
≤
-
(
14261459727060855781449
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_342_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
2543485761489
/
8000000000000
)
≤
-
(
990555338418671925963
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_342_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
2543485761489
/
8000000000000
)
≤
-
(
4681560142880333083387
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_342_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
2543485761489
/
8000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_342_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
2543485761489
/
8000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_342_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
2543485761489
/
8000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_342_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
2543485761489
/
8000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_342_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
2543485761489
/
8000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_342_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
2543485761489
/
8000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_342_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
2543485761489
/
8000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_342
:
Uρ
(
2543485761489
/
8000000000000
)
≤
-
(
15699576321583142466967
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_343_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
10251686603209
/
32000000000000
)
≤
-
(
5793239462649911037
/
5000000000000000000
)
source
theorem
Zeta5Irrational
.
U_343_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
10251686603209
/
32000000000000
)
≤
-
(
2332682826846300534697
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_343_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
10251686603209
/
32000000000000
)
≤
-
(
2954889447974945029483
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_343_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
10251686603209
/
32000000000000
)
≤
-
(
6042963187737180019357
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_343_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
10251686603209
/
32000000000000
)
≤
-
(
12509937826887110023689
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_343_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
10251686603209
/
32000000000000
)
≤
-
(
13162530945191651836923
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_343_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
10251686603209
/
32000000000000
)
≤
-
(
14158560319631239190253
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_343_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
10251686603209
/
32000000000000
)
≤
-
(
15723673450207903387083
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_343_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
10251686603209
/
32000000000000
)
≤
-
(
741338966521064763589
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_343_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
10251686603209
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_343_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
10251686603209
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_343_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
10251686603209
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_343_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
10251686603209
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_343_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
10251686603209
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_343_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
10251686603209
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_343_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
10251686603209
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_343
:
Uρ
(
10251686603209
/
32000000000000
)
≤
-
(
7819153509420200613333
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_344_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
5164715080231
/
16000000000000
)
≤
-
(
2301876272154925326387
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_344_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
5164715080231
/
16000000000000
)
≤
-
(
11585716300751941489211
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_344_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
5164715080231
/
16000000000000
)
≤
-
(
11740619893739643235129
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_344_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
5164715080231
/
16000000000000
)
≤
-
(
240096062582495861523
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_344_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
5164715080231
/
16000000000000
)
≤
-
(
6212571094579826978127
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_344_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
5164715080231
/
16000000000000
)
≤
-
(
13071567339577674235373
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_344_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
5164715080231
/
16000000000000
)
≤
-
(
14056755646450440234437
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_344_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
5164715080231
/
16000000000000
)
≤
-
(
195002498657717841121
/
125000000000000000000
)
source
theorem
Zeta5Irrational
.
U_344_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
5164715080231
/
16000000000000
)
≤
-
(
3669191631964464684769
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_344_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
5164715080231
/
16000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_344_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
5164715080231
/
16000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_344_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
5164715080231
/
16000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_344_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
5164715080231
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_344_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
5164715080231
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_344_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
5164715080231
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_344_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
5164715080231
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_344
:
Uρ
(
5164715080231
/
16000000000000
)
≤
-
(
3115591048149674882067
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_345_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
1310614659371
/
4000000000000
)
≤
-
(
11356946906342816493083
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_345_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
1310614659371
/
4000000000000
)
≤
-
(
11432108977075101674191
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_345_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
1310614659371
/
4000000000000
)
≤
-
(
5792295309103324570207
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_345_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
1310614659371
/
4000000000000
)
≤
-
(
11844509075501430543993
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_345_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
1310614659371
/
4000000000000
)
≤
-
(
2451538272676043922751
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_345_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
1310614659371
/
4000000000000
)
≤
-
(
50359866786970237563
/
39062500000000000000
)
source
theorem
Zeta5Irrational
.
U_345_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
1310614659371
/
4000000000000
)
≤
-
(
3464083838632482367617
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_345_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
1310614659371
/
4000000000000
)
≤
-
(
7679130478477478291329
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_345_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
1310614659371
/
4000000000000
)
≤
-
(
449633250021974099083
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_345_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
1310614659371
/
4000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_345_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
1310614659371
/
4000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_345_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
1310614659371
/
4000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_345_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
1310614659371
/
4000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_345_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
1310614659371
/
4000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_345_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
1310614659371
/
4000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_345_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
1310614659371
/
4000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_345
:
Uρ
(
1310614659371
/
4000000000000
)
≤
-
(
15459844878657915384769
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_346_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
5320202194737
/
16000000000000
)
≤
-
(
1400850162952081230453
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_346_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
5320202194737
/
16000000000000
)
≤
-
(
11280826001053343395199
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_346_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
5320202194737
/
16000000000000
)
≤
-
(
228619205476329618989
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_346_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
5320202194737
/
16000000000000
)
≤
-
(
11686749560023923541033
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_346_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
5320202194737
/
16000000000000
)
≤
-
(
12093015219054816054701
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_346_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
5320202194737
/
16000000000000
)
≤
-
(
6357949180291555523893
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_346_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
5320202194737
/
16000000000000
)
≤
-
(
6830008200364275306877
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_346_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
5320202194737
/
16000000000000
)
≤
-
(
7561339280388101403409
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_346_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
5320202194737
/
16000000000000
)
≤
-
(
2756562137920207449
/
1562500000000000000
)
source
theorem
Zeta5Irrational
.
U_346_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
5320202194737
/
16000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_346_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
5320202194737
/
16000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_346_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
5320202194737
/
16000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_346_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
5320202194737
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_346_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
5320202194737
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_346_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
5320202194737
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_346_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
5320202194737
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_346
:
Uρ
(
5320202194737
/
16000000000000
)
≤
-
(
15344959851341678360121
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_347_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
539794575199
/
1600000000000
)
≤
-
(
5529438415241096726837
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_347_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
539794575199
/
1600000000000
)
≤
-
(
2782949515805895480333
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_347_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
539794575199
/
1600000000000
)
≤
-
(
2819914039390198190657
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_347_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
539794575199
/
1600000000000
)
≤
-
(
1153144550858087381687
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_347_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
539794575199
/
1600000000000
)
≤
-
(
1193102277038038876959
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_347_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
539794575199
/
1600000000000
)
≤
-
(
6271384959581393181183
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_347_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
539794575199
/
1600000000000
)
≤
-
(
2693525626556395372243
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_347_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
539794575199
/
1600000000000
)
≤
-
(
14893097731127274734401
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_347_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
539794575199
/
1600000000000
)
≤
-
(
17314042422240819869213
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_347_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
539794575199
/
1600000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_347_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
539794575199
/
1600000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_347_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
539794575199
/
1600000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_347_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
539794575199
/
1600000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_347_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
539794575199
/
1600000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_347_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
539794575199
/
1600000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_347_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
539794575199
/
1600000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_347
:
Uρ
(
539794575199
/
1600000000000
)
≤
-
(
7616529524551265616913
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_348_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
5475689309243
/
16000000000000
)
≤
-
(
2728277181692807866107
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_348_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
5475689309243
/
16000000000000
)
≤
-
(
10984958909324133836937
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_348_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
5475689309243
/
16000000000000
)
≤
-
(
1113060882446734250669
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_348_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
5475689309243
/
16000000000000
)
≤
-
(
5689260749156044347883
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_348_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
5475689309243
/
16000000000000
)
≤
-
(
470865098371135128527
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_348_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
5475689309243
/
16000000000000
)
≤
-
(
12372631891703963693447
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_348_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
5475689309243
/
16000000000000
)
≤
-
(
6639505332453721451779
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_348_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
5475689309243
/
16000000000000
)
≤
-
(
14669194304964489016403
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_348_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
5475689309243
/
16000000000000
)
≤
-
(
2124984692148639207169
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_348_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
5475689309243
/
16000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_348_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
5475689309243
/
16000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_348_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
5475689309243
/
16000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_348_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
5475689309243
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_348_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
5475689309243
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_348_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
5475689309243
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_348_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
5475689309243
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_348
:
Uρ
(
5475689309243
/
16000000000000
)
≤
-
(
15123935587556814908631
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_349_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
86772388539
/
250000000000
)
≤
-
(
2692358756001912750639
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_349_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
86772388539
/
250000000000
)
≤
-
(
2710061290822971316719
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_349_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
86772388539
/
250000000000
)
≤
-
(
2745937973915816665167
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_349_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
86772388539
/
250000000000
)
≤
-
(
1403488191972210064163
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_349_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
86772388539
/
250000000000
)
≤
-
(
181480419862451201021
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_349_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
86772388539
/
250000000000
)
≤
-
(
488215251642030165167
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_349_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
86772388539
/
250000000000
)
≤
-
(
3273503492390745150533
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_349_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
86772388539
/
250000000000
)
≤
-
(
3612667828037066073951
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_349_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
86772388539
/
250000000000
)
≤
-
(
16698172633618705145123
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_349_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
86772388539
/
250000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_349_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
86772388539
/
250000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_349_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
86772388539
/
250000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_349_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
86772388539
/
250000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_349_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
86772388539
/
250000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_349_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
86772388539
/
250000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_349_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
86772388539
/
250000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_349
:
Uρ
(
86772388539
/
250000000000
)
≤
-
(
3754352408588390882517
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_350_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
11190582883251
/
32000000000000
)
≤
-
(
10692924948722708581073
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_350_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
11190582883251
/
32000000000000
)
≤
-
(
5381593741458052326591
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_350_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
11190582883251
/
32000000000000
)
≤
-
(
10905566206672627143071
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_350_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
11190582883251
/
32000000000000
)
≤
-
(
11147742773399472978853
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_350_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
11190582883251
/
32000000000000
)
≤
-
(
5765646633728764278609
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_350_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
11190582883251
/
32000000000000
)
≤
-
(
12116491871022092607709
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_350_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
11190582883251
/
32000000000000
)
≤
-
(
12995858129784667405647
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_350_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
11190582883251
/
32000000000000
)
≤
-
(
7167573149467358629037
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_350_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
11190582883251
/
32000000000000
)
≤
-
(
8270243481336133218047
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_350_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
11190582883251
/
32000000000000
)
≤
-
(
2271398553081343851221
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_350_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
11190582883251
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_350_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
11190582883251
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_350_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
11190582883251
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_350_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
11190582883251
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_350_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
11190582883251
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_350_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
11190582883251
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_350
:
Uρ
(
11190582883251
/
32000000000000
)
≤
-
(
14812819820006037121807
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_351_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
1127430003351
/
3200000000000
)
≤
-
(
2123399165295955899713
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_351_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
1127430003351
/
3200000000000
)
≤
-
(
2671679790056744699741
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_351_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
1127430003351
/
3200000000000
)
≤
-
(
10827987472984737147193
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_351_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
1127430003351
/
3200000000000
)
≤
-
(
5534109374562723863797
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_351_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
1127430003351
/
3200000000000
)
≤
-
(
2862133506329783265521
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_351_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
1127430003351
/
3200000000000
)
≤
-
(
6014198225391302158967
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_351_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
1127430003351
/
3200000000000
)
≤
-
(
50385507542380392039
/
39062500000000000000
)
source
theorem
Zeta5Irrational
.
U_351_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
1127430003351
/
3200000000000
)
≤
-
(
2844212325531341812721
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_351_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
1127430003351
/
3200000000000
)
≤
-
(
4096481844382657276603
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_351_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
1127430003351
/
3200000000000
)
≤
-
(
219985771669146987571
/
100000000000000000000
)
source
theorem
Zeta5Irrational
.
U_351_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
1127430003351
/
3200000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_351_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
1127430003351
/
3200000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_351_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
1127430003351
/
3200000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_351_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
1127430003351
/
3200000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_351_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
1127430003351
/
3200000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_351_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
1127430003351
/
3200000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_351
:
Uρ
(
1127430003351
/
3200000000000
)
≤
-
(
14696020735188019821327
/
10000000000000000000000
)