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.
Table
.
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LeanPool.Zeta5Irrational.Table.UpperCertificate
Imported by
Zeta5Irrational
.
U_364_1
Zeta5Irrational
.
U_364_2
Zeta5Irrational
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U_364_3
Zeta5Irrational
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U_364_4
Zeta5Irrational
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U_364_5
Zeta5Irrational
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U_364_6
Zeta5Irrational
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U_364_7
Zeta5Irrational
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U_364_8
Zeta5Irrational
.
U_364_9
Zeta5Irrational
.
U_364_10
Zeta5Irrational
.
U_364_11
Zeta5Irrational
.
U_364_12
Zeta5Irrational
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U_364_13
Zeta5Irrational
.
U_364_14
Zeta5Irrational
.
U_364_15
Zeta5Irrational
.
U_364_16
Zeta5Irrational
.
U_364
Zeta5Irrational
.
U_365_1
Zeta5Irrational
.
U_365_2
Zeta5Irrational
.
U_365_3
Zeta5Irrational
.
U_365_4
Zeta5Irrational
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U_365_5
Zeta5Irrational
.
U_365_6
Zeta5Irrational
.
U_365_7
Zeta5Irrational
.
U_365_8
Zeta5Irrational
.
U_365_9
Zeta5Irrational
.
U_365_10
Zeta5Irrational
.
U_365_11
Zeta5Irrational
.
U_365_12
Zeta5Irrational
.
U_365_13
Zeta5Irrational
.
U_365_14
Zeta5Irrational
.
U_365_15
Zeta5Irrational
.
U_365_16
Zeta5Irrational
.
U_365
Zeta5Irrational
.
U_366_1
Zeta5Irrational
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U_366_2
Zeta5Irrational
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U_366_3
Zeta5Irrational
.
U_366_4
Zeta5Irrational
.
U_366_5
Zeta5Irrational
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U_366_6
Zeta5Irrational
.
U_366_7
Zeta5Irrational
.
U_366_8
Zeta5Irrational
.
U_366_9
Zeta5Irrational
.
U_366_10
Zeta5Irrational
.
U_366_11
Zeta5Irrational
.
U_366_12
Zeta5Irrational
.
U_366_13
Zeta5Irrational
.
U_366_14
Zeta5Irrational
.
U_366_15
Zeta5Irrational
.
U_366_16
Zeta5Irrational
.
U_366
Zeta5Irrational
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U_367_1
Zeta5Irrational
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U_367_2
Zeta5Irrational
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U_367_3
Zeta5Irrational
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U_367_4
Zeta5Irrational
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U_367_5
Zeta5Irrational
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U_367_6
Zeta5Irrational
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U_367_7
Zeta5Irrational
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U_367_8
Zeta5Irrational
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U_367_9
Zeta5Irrational
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U_367_10
Zeta5Irrational
.
U_367_11
Zeta5Irrational
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U_367_12
Zeta5Irrational
.
U_367_13
Zeta5Irrational
.
U_367_14
Zeta5Irrational
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U_367_15
Zeta5Irrational
.
U_367_16
Zeta5Irrational
.
U_367
Zeta5Irrational
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U_368_1
Zeta5Irrational
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U_368_2
Zeta5Irrational
.
U_368_3
Zeta5Irrational
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U_368_4
Zeta5Irrational
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U_368_5
Zeta5Irrational
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U_368_6
Zeta5Irrational
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U_368_7
Zeta5Irrational
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U_368_8
Zeta5Irrational
.
U_368_9
Zeta5Irrational
.
U_368_10
Zeta5Irrational
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U_368_11
Zeta5Irrational
.
U_368_12
Zeta5Irrational
.
U_368_13
Zeta5Irrational
.
U_368_14
Zeta5Irrational
.
U_368_15
Zeta5Irrational
.
U_368_16
Zeta5Irrational
.
U_368
Zeta5Irrational
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U_369_1
Zeta5Irrational
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U_369_2
Zeta5Irrational
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U_369_3
Zeta5Irrational
.
U_369_4
Zeta5Irrational
.
U_369_5
Zeta5Irrational
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U_369_6
Zeta5Irrational
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U_369_7
Zeta5Irrational
.
U_369_8
Zeta5Irrational
.
U_369_9
Zeta5Irrational
.
U_369_10
Zeta5Irrational
.
U_369_11
Zeta5Irrational
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U_369_12
Zeta5Irrational
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U_369_13
Zeta5Irrational
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U_369_14
Zeta5Irrational
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U_369_15
Zeta5Irrational
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U_369_16
Zeta5Irrational
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U_369
Zeta5Irrational
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U_370_1
Zeta5Irrational
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U_370_2
Zeta5Irrational
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U_370_3
Zeta5Irrational
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U_370_4
Zeta5Irrational
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U_370_5
Zeta5Irrational
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U_370_6
Zeta5Irrational
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U_370_7
Zeta5Irrational
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U_370_8
Zeta5Irrational
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U_370_9
Zeta5Irrational
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U_370_10
Zeta5Irrational
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U_370_11
Zeta5Irrational
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U_370_12
Zeta5Irrational
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U_370_13
Zeta5Irrational
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U_370_14
Zeta5Irrational
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U_370_15
Zeta5Irrational
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U_370_16
Zeta5Irrational
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U_370
Zeta5Irrational
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U_371_1
Zeta5Irrational
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U_371_2
Zeta5Irrational
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U_371_3
Zeta5Irrational
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U_371_4
Zeta5Irrational
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U_371_5
Zeta5Irrational
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U_371_6
Zeta5Irrational
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U_371_7
Zeta5Irrational
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U_371_8
Zeta5Irrational
.
U_371_9
Zeta5Irrational
.
U_371_10
Zeta5Irrational
.
U_371_11
Zeta5Irrational
.
U_371_12
Zeta5Irrational
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U_371_13
Zeta5Irrational
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U_371_14
Zeta5Irrational
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U_371_15
Zeta5Irrational
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U_371_16
Zeta5Irrational
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U_371
Zeta5Irrational
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U_372_1
Zeta5Irrational
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U_372_2
Zeta5Irrational
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U_372_3
Zeta5Irrational
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U_372_4
Zeta5Irrational
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U_372_5
Zeta5Irrational
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U_372_6
Zeta5Irrational
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U_372_7
Zeta5Irrational
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U_372_8
Zeta5Irrational
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U_372_9
Zeta5Irrational
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U_372_10
Zeta5Irrational
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U_372_11
Zeta5Irrational
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U_372_12
Zeta5Irrational
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U_372_13
Zeta5Irrational
.
U_372_14
Zeta5Irrational
.
U_372_15
Zeta5Irrational
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U_372_16
Zeta5Irrational
.
U_372
Zeta5Irrational
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U_373_1
Zeta5Irrational
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U_373_2
Zeta5Irrational
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U_373_3
Zeta5Irrational
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U_373_4
Zeta5Irrational
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U_373_5
Zeta5Irrational
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U_373_6
Zeta5Irrational
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U_373_7
Zeta5Irrational
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U_373_8
Zeta5Irrational
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U_373_9
Zeta5Irrational
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U_373_10
Zeta5Irrational
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U_373_11
Zeta5Irrational
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U_373_12
Zeta5Irrational
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U_373_13
Zeta5Irrational
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U_373_14
Zeta5Irrational
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U_373_15
Zeta5Irrational
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U_373_16
Zeta5Irrational
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U_373
Zeta5Irrational
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U_374_1
Zeta5Irrational
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U_374_2
Zeta5Irrational
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U_374_3
Zeta5Irrational
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U_374_4
Zeta5Irrational
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U_374_5
Zeta5Irrational
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U_374_6
Zeta5Irrational
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U_374_7
Zeta5Irrational
.
U_374_8
Zeta5Irrational
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U_374_9
Zeta5Irrational
.
U_374_10
Zeta5Irrational
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U_374_11
Zeta5Irrational
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U_374_12
Zeta5Irrational
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U_374_13
Zeta5Irrational
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U_374_14
Zeta5Irrational
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U_374_15
Zeta5Irrational
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U_374_16
Zeta5Irrational
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U_374
Zeta5Irrational
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U_375_1
Zeta5Irrational
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U_375_2
Zeta5Irrational
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U_375_3
Zeta5Irrational
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U_375_4
Zeta5Irrational
.
U_375_5
Zeta5Irrational
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U_375_6
Zeta5Irrational
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U_375_7
Zeta5Irrational
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U_375_8
Zeta5Irrational
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U_375_9
Zeta5Irrational
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U_375_10
Zeta5Irrational
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U_375_11
Zeta5Irrational
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U_375_12
Zeta5Irrational
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U_375_13
Zeta5Irrational
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U_375_14
Zeta5Irrational
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U_375_15
Zeta5Irrational
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U_375_16
Zeta5Irrational
.
U_375
Certified arcsine potential bounds (U30)
#
source
theorem
Zeta5Irrational
.
U_364_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
23469488719869
/
64000000000000
)
≤
-
(
1020938856758552771767
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_364_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
23469488719869
/
64000000000000
)
≤
-
(
1284536029434866094411
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_364_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
23469488719869
/
64000000000000
)
≤
-
(
2602936549286429362049
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_364_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
23469488719869
/
64000000000000
)
≤
-
(
10641813674947082111827
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_364_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
23469488719869
/
64000000000000
)
≤
-
(
1100526919862125627921
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_364_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
23469488719869
/
64000000000000
)
≤
-
(
11557446623523384046263
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_364_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
23469488719869
/
64000000000000
)
≤
-
(
2476208400660810589321
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_364_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
23469488719869
/
64000000000000
)
≤
-
(
1702213703203382586437
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_364_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
23469488719869
/
64000000000000
)
≤
-
(
155857949416357088431
/
100000000000000000000
)
source
theorem
Zeta5Irrational
.
U_364_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
23469488719869
/
64000000000000
)
≤
-
(
19736085683035117132133
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_364_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
23469488719869
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_364_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
23469488719869
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_364_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
23469488719869
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_364_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
23469488719869
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_364_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
23469488719869
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_364_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
23469488719869
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_364
:
Uρ
(
23469488719869
/
64000000000000
)
≤
-
(
142079071854851839327
/
100000000000000000000
)
source
theorem
Zeta5Irrational
.
U_365_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
47022694589997
/
128000000000000
)
≤
-
(
5095624977928167751467
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_365_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
47022694589997
/
128000000000000
)
≤
-
(
2051605339881276118719
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_365_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
47022694589997
/
128000000000000
)
≤
-
(
5196615945586448281083
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_365_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
47022694589997
/
128000000000000
)
≤
-
(
1327857223199951105543
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_365_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
47022694589997
/
128000000000000
)
≤
-
(
10985582464399812475231
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_365_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
47022694589997
/
128000000000000
)
≤
-
(
11536564440637285168937
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_365_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
47022694589997
/
128000000000000
)
≤
-
(
12358157290836437477463
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_365_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
47022694589997
/
128000000000000
)
≤
-
(
6795599808089037888341
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_365_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
47022694589997
/
128000000000000
)
≤
-
(
3887811822798896889681
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_365_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
47022694589997
/
128000000000000
)
≤
-
(
19659633305412022108387
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_365_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
47022694589997
/
128000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_365_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
47022694589997
/
128000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_365_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
47022694589997
/
128000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_365_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
47022694589997
/
128000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_365_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
47022694589997
/
128000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_365_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
47022694589997
/
128000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_365
:
Uρ
(
47022694589997
/
128000000000000
)
≤
-
(
14188403341773910537759
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_366_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
1472075366883
/
4000000000000
)
≤
-
(
1017314418630376217589
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_366_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
1472075366883
/
4000000000000
)
≤
-
(
10239798456410631867589
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_366_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
1472075366883
/
4000000000000
)
≤
-
(
64842198875117124881
/
62500000000000000000
)
source
theorem
Zeta5Irrational
.
U_366_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
1472075366883
/
4000000000000
)
≤
-
(
10603937823945748174413
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_366_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
1472075366883
/
4000000000000
)
≤
-
(
2741483649062919691693
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_366_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
1472075366883
/
4000000000000
)
≤
-
(
5757863156105059112447
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_366_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
1472075366883
/
4000000000000
)
≤
-
(
3083831613937107456921
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_366_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
1472075366883
/
4000000000000
)
≤
-
(
1356476525443648126067
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_366_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
1472075366883
/
4000000000000
)
≤
-
(
969802835152118119703
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_366_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
1472075366883
/
4000000000000
)
≤
-
(
4896117841857481864347
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_366_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
1472075366883
/
4000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_366_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
1472075366883
/
4000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_366_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
1472075366883
/
4000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_366_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
1472075366883
/
4000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_366_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
1472075366883
/
4000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_366_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
1472075366883
/
4000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_366
:
Uρ
(
1472075366883
/
4000000000000
)
≤
-
(
2833808993384900581253
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_367_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
9438025778103
/
25600000000000
)
≤
-
(
10155071140210231970999
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_367_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
9438025778103
/
25600000000000
)
≤
-
(
5110801692648868227249
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_367_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
9438025778103
/
25600000000000
)
≤
-
(
10356305857235350616427
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_367_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
9438025778103
/
25600000000000
)
≤
-
(
5292526826907858834617
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_367_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
9438025778103
/
25600000000000
)
≤
-
(
10946325440292095100241
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_367_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
9438025778103
/
25600000000000
)
≤
-
(
11494932050507656954393
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_367_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
9438025778103
/
25600000000000
)
≤
-
(
12312549237462678980321
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_367_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
9438025778103
/
25600000000000
)
≤
-
(
3384601519907263353979
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_367_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
9438025778103
/
25600000000000
)
≤
-
(
7741293864429637342667
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_367_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
9438025778103
/
25600000000000
)
≤
-
(
19510540693039739543589
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_367_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
9438025778103
/
25600000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_367_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
9438025778103
/
25600000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_367_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
9438025778103
/
25600000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_367_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
9438025778103
/
25600000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_367_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
9438025778103
/
25600000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_367_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
9438025778103
/
25600000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_367
:
Uρ
(
9438025778103
/
25600000000000
)
≤
-
(
2829965354122144662707
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_368_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
23636923020387
/
64000000000000
)
≤
-
(
5068515349750366186051
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_368_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
23636923020387
/
64000000000000
)
≤
-
(
10203441365534420333661
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_368_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
23636923020387
/
64000000000000
)
≤
-
(
10337893877074504726461
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_368_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
23636923020387
/
64000000000000
)
≤
-
(
10566205139813757343053
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_368_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
23636923020387
/
64000000000000
)
≤
-
(
2185350968710533704413
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_368_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
23636923020387
/
64000000000000
)
≤
-
(
11474181469007055192813
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_368_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
23636923020387
/
64000000000000
)
≤
-
(
6144912688669251179439
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_368_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
23636923020387
/
64000000000000
)
≤
-
(
13512121635417570816127
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_368_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
23636923020387
/
64000000000000
)
≤
-
(
3089694597383226710451
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_368_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
23636923020387
/
64000000000000
)
≤
-
(
19437786537202591506609
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_368_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
23636923020387
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_368_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
23636923020387
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_368_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
23636923020387
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_368_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
23636923020387
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_368_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
23636923020387
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_368_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
23636923020387
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_368
:
Uρ
(
23636923020387
/
64000000000000
)
≤
-
(
3532685961019217504731
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_369_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
47357563191033
/
128000000000000
)
≤
-
(
5059511373369090753989
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_369_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
47357563191033
/
128000000000000
)
≤
-
(
5092656138621636409351
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_369_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
47357563191033
/
128000000000000
)
≤
-
(
10319515754482508126191
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_369_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
47357563191033
/
128000000000000
)
≤
-
(
10547392147312262476351
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_369_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
47357563191033
/
128000000000000
)
≤
-
(
1090722265397408139433
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_369_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
47357563191033
/
128000000000000
)
≤
-
(
1431684297798292659107
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_369_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
47357563191033
/
128000000000000
)
≤
-
(
12267154618652294812397
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_369_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
47357563191033
/
128000000000000
)
≤
-
(
6742955734919824914827
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_369_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
47357563191033
/
128000000000000
)
≤
-
(
3082899951093501236787
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_369_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
47357563191033
/
128000000000000
)
≤
-
(
19366158133686468909589
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_369_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
47357563191033
/
128000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_369_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
47357563191033
/
128000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_369_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
47357563191033
/
128000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_369_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
47357563191033
/
128000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_369_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
47357563191033
/
128000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_369_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
47357563191033
/
128000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_369
:
Uρ
(
47357563191033
/
128000000000000
)
≤
-
(
7055895810716133855411
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_370_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
11860320085323
/
32000000000000
)
≤
-
(
10101047165118847851507
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_370_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
11860320085323
/
32000000000000
)
≤
-
(
317725500037437652139
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_370_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
11860320085323
/
32000000000000
)
≤
-
(
10301171365095080003113
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_370_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
11860320085323
/
32000000000000
)
≤
-
(
2632153635611494003493
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_370_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
11860320085323
/
32000000000000
)
≤
-
(
5443864360199435669073
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_370_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
11860320085323
/
32000000000000
)
≤
-
(
11432810606514017181871
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_370_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
11860320085323
/
32000000000000
)
≤
-
(
15305670883222720007
/
12500000000000000000
)
source
theorem
Zeta5Irrational
.
U_370_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
11860320085323
/
32000000000000
)
≤
-
(
13459775135250613273287
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_370_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
11860320085323
/
32000000000000
)
≤
-
(
61522666701171816901
/
40000000000000000000
)
source
theorem
Zeta5Irrational
.
U_370_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
11860320085323
/
32000000000000
)
≤
-
(
3859121660113755047557
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_370_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
11860320085323
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_370_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
11860320085323
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_370_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
11860320085323
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_370_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
11860320085323
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_370_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
11860320085323
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_370_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
11860320085323
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_370
:
Uρ
(
11860320085323
/
32000000000000
)
≤
-
(
1761620730734933931937
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_371_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
47524997491551
/
128000000000000
)
≤
-
(
10083103838467802937571
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_371_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
47524997491551
/
128000000000000
)
≤
-
(
10149152418818740405747
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_371_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
47524997491551
/
128000000000000
)
≤
-
(
2570715146308073706789
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_371_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
47524997491551
/
128000000000000
)
≤
-
(
10509872192106231280577
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_371_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
47524997491551
/
128000000000000
)
≤
-
(
2173654578512854934223
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_371_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
47524997491551
/
128000000000000
)
≤
-
(
1426523744804845731913
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_371_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
47524997491551
/
128000000000000
)
≤
-
(
381936605880278124109
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_371_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
47524997491551
/
128000000000000
)
≤
-
(
13433712188266326115151
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_371_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
47524997491551
/
128000000000000
)
≤
-
(
191837155107511234621
/
125000000000000000000
)
source
theorem
Zeta5Irrational
.
U_371_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
47524997491551
/
128000000000000
)
≤
-
(
9613046547344408264177
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_371_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
47524997491551
/
128000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_371_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
47524997491551
/
128000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_371_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
47524997491551
/
128000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_371_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
47524997491551
/
128000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_371_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
47524997491551
/
128000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_371_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
47524997491551
/
128000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_371
:
Uρ
(
47524997491551
/
128000000000000
)
≤
-
(
112594100321021907347
/
80000000000000000000
)
source
theorem
Zeta5Irrational
.
U_372_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
4760871464181
/
12800000000000
)
≤
-
(
5032596325617203968613
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_372_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
4760871464181
/
12800000000000
)
≤
-
(
10131121412167346282789
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_372_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
4760871464181
/
12800000000000
)
≤
-
(
641536455743347809409
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_372_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
4760871464181
/
12800000000000
)
≤
-
(
10491164963935251592369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_372_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
4760871464181
/
12800000000000
)
≤
-
(
10848855021095157620113
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_372_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
4760871464181
/
12800000000000
)
≤
-
(
2847903064094822168529
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_372_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
4760871464181
/
12800000000000
)
≤
-
(
12199458412337004357933
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_372_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
4760871464181
/
12800000000000
)
≤
-
(
3351930547426756303613
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_372_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
4760871464181
/
12800000000000
)
≤
-
(
7656707819277447128447
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_372_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
4760871464181
/
12800000000000
)
≤
-
(
19157571507822823325749
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_372_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
4760871464181
/
12800000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_372_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
4760871464181
/
12800000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_372_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
4760871464181
/
12800000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_372_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
4760871464181
/
12800000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_372_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
4760871464181
/
12800000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_372_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
4760871464181
/
12800000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_372
:
Uρ
(
4760871464181
/
12800000000000
)
≤
-
(
7027838990186991712099
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_373_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
47692431792069
/
128000000000000
)
≤
-
(
2009462697697571396643
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_373_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
47692431792069
/
128000000000000
)
≤
-
(
252828071598570374709
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_373_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
47692431792069
/
128000000000000
)
≤
-
(
512316968137633730297
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_373_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
47692431792069
/
128000000000000
)
≤
-
(
5236246363160253772561
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_373_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
47692431792069
/
128000000000000
)
≤
-
(
5414737478748498833533
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_373_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
47692431792069
/
128000000000000
)
≤
-
(
2274215463942847126499
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_373_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
47692431792069
/
128000000000000
)
≤
-
(
1522124691229523665977
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_373_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
47692431792069
/
128000000000000
)
≤
-
(
3345451176135521414619
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_373_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
47692431792069
/
128000000000000
)
≤
-
(
15279995068813354745051
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_373_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
47692431792069
/
128000000000000
)
≤
-
(
4772501299645587367841
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_373_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
47692431792069
/
128000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_373_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
47692431792069
/
128000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_373_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
47692431792069
/
128000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_373_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
47692431792069
/
128000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_373_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
47692431792069
/
128000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_373_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
47692431792069
/
128000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_373
:
Uρ
(
47692431792069
/
128000000000000
)
≤
-
(
701860433666920155633
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_374_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
5972018617791
/
16000000000000
)
≤
-
(
10029466235912752073139
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_374_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
5972018617791
/
16000000000000
)
≤
-
(
2523789164369170187899
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_374_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
5972018617791
/
16000000000000
)
≤
-
(
10228128676152854997047
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_374_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
5972018617791
/
16000000000000
)
≤
-
(
10453855348389118523381
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_374_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
5972018617791
/
16000000000000
)
≤
-
(
10810132554148952355511
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_374_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
5972018617791
/
16000000000000
)
≤
-
(
11350584968972253481687
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_374_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
5972018617791
/
16000000000000
)
≤
-
(
3038647123310739096387
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_374_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
5972018617791
/
16000000000000
)
≤
-
(
534238372073429131109
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_374_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
5972018617791
/
16000000000000
)
≤
-
(
15246709423082283256313
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_374_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
5972018617791
/
16000000000000
)
≤
-
(
760934330201234651191
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_374_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
5972018617791
/
16000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_374_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
5972018617791
/
16000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_374_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
5972018617791
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_374_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
5972018617791
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_374_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
5972018617791
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_374_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
5972018617791
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_374
:
Uρ
(
5972018617791
/
16000000000000
)
≤
-
(
14018851335926930024331
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_375_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
47859866092587
/
128000000000000
)
≤
-
(
10011650779804707866637
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_375_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
47859866092587
/
128000000000000
)
≤
-
(
10077222676728475367993
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_375_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
47859866092587
/
128000000000000
)
≤
-
(
1020995111110190420443
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_375_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
47859866092587
/
128000000000000
)
≤
-
(
521762635000115749317
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_375_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
47859866092587
/
128000000000000
)
≤
-
(
10790827664296983932529
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_375_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
47859866092587
/
128000000000000
)
≤
-
(
1133013502582213637493
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_375_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
47859866092587
/
128000000000000
)
≤
-
(
6066115528469227373073
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_375_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
47859866092587
/
128000000000000
)
≤
-
(
6665092777346813657789
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_375_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
47859866092587
/
128000000000000
)
≤
-
(
15213557444680535887109
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_375_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
47859866092587
/
128000000000000
)
≤
-
(
18957596983821605453081
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_375_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
47859866092587
/
128000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_375_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
47859866092587
/
128000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_375_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
47859866092587
/
128000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_375_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
47859866092587
/
128000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_375_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
47859866092587
/
128000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_375_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
47859866092587
/
128000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_375
:
Uρ
(
47859866092587
/
128000000000000
)
≤
-
(
14000602877161742308257
/
10000000000000000000000
)