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.
Zeta5Irrational
.
Table
.
U27
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Imports
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LeanPool.Zeta5Irrational.Table.UpperCertificate
Imported by
Zeta5Irrational
.
U_328_1
Zeta5Irrational
.
U_328_2
Zeta5Irrational
.
U_328_3
Zeta5Irrational
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U_328_4
Zeta5Irrational
.
U_328_5
Zeta5Irrational
.
U_328_6
Zeta5Irrational
.
U_328_7
Zeta5Irrational
.
U_328_8
Zeta5Irrational
.
U_328_9
Zeta5Irrational
.
U_328_10
Zeta5Irrational
.
U_328_11
Zeta5Irrational
.
U_328_12
Zeta5Irrational
.
U_328_13
Zeta5Irrational
.
U_328_14
Zeta5Irrational
.
U_328_15
Zeta5Irrational
.
U_328_16
Zeta5Irrational
.
U_328
Zeta5Irrational
.
U_329_1
Zeta5Irrational
.
U_329_2
Zeta5Irrational
.
U_329_3
Zeta5Irrational
.
U_329_4
Zeta5Irrational
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U_329_5
Zeta5Irrational
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U_329_6
Zeta5Irrational
.
U_329_7
Zeta5Irrational
.
U_329_8
Zeta5Irrational
.
U_329_9
Zeta5Irrational
.
U_329_10
Zeta5Irrational
.
U_329_11
Zeta5Irrational
.
U_329_12
Zeta5Irrational
.
U_329_13
Zeta5Irrational
.
U_329_14
Zeta5Irrational
.
U_329_15
Zeta5Irrational
.
U_329_16
Zeta5Irrational
.
U_329
Zeta5Irrational
.
U_330_1
Zeta5Irrational
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U_330_2
Zeta5Irrational
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U_330_3
Zeta5Irrational
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U_330_4
Zeta5Irrational
.
U_330_5
Zeta5Irrational
.
U_330_6
Zeta5Irrational
.
U_330_7
Zeta5Irrational
.
U_330_8
Zeta5Irrational
.
U_330_9
Zeta5Irrational
.
U_330_10
Zeta5Irrational
.
U_330_11
Zeta5Irrational
.
U_330_12
Zeta5Irrational
.
U_330_13
Zeta5Irrational
.
U_330_14
Zeta5Irrational
.
U_330_15
Zeta5Irrational
.
U_330_16
Zeta5Irrational
.
U_330
Zeta5Irrational
.
U_331_1
Zeta5Irrational
.
U_331_2
Zeta5Irrational
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U_331_3
Zeta5Irrational
.
U_331_4
Zeta5Irrational
.
U_331_5
Zeta5Irrational
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U_331_6
Zeta5Irrational
.
U_331_7
Zeta5Irrational
.
U_331_8
Zeta5Irrational
.
U_331_9
Zeta5Irrational
.
U_331_10
Zeta5Irrational
.
U_331_11
Zeta5Irrational
.
U_331_12
Zeta5Irrational
.
U_331_13
Zeta5Irrational
.
U_331_14
Zeta5Irrational
.
U_331_15
Zeta5Irrational
.
U_331_16
Zeta5Irrational
.
U_331
Zeta5Irrational
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U_332_1
Zeta5Irrational
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U_332_2
Zeta5Irrational
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U_332_3
Zeta5Irrational
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U_332_4
Zeta5Irrational
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U_332_5
Zeta5Irrational
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U_332_6
Zeta5Irrational
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U_332_7
Zeta5Irrational
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U_332_8
Zeta5Irrational
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U_332_9
Zeta5Irrational
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U_332_10
Zeta5Irrational
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U_332_11
Zeta5Irrational
.
U_332_12
Zeta5Irrational
.
U_332_13
Zeta5Irrational
.
U_332_14
Zeta5Irrational
.
U_332_15
Zeta5Irrational
.
U_332_16
Zeta5Irrational
.
U_332
Zeta5Irrational
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U_333_1
Zeta5Irrational
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U_333_2
Zeta5Irrational
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U_333_3
Zeta5Irrational
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U_333_4
Zeta5Irrational
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U_333_5
Zeta5Irrational
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U_333_6
Zeta5Irrational
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U_333_7
Zeta5Irrational
.
U_333_8
Zeta5Irrational
.
U_333_9
Zeta5Irrational
.
U_333_10
Zeta5Irrational
.
U_333_11
Zeta5Irrational
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U_333_12
Zeta5Irrational
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U_333_13
Zeta5Irrational
.
U_333_14
Zeta5Irrational
.
U_333_15
Zeta5Irrational
.
U_333_16
Zeta5Irrational
.
U_333
Zeta5Irrational
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U_334_1
Zeta5Irrational
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U_334_2
Zeta5Irrational
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U_334_3
Zeta5Irrational
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U_334_4
Zeta5Irrational
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U_334_5
Zeta5Irrational
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U_334_6
Zeta5Irrational
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U_334_7
Zeta5Irrational
.
U_334_8
Zeta5Irrational
.
U_334_9
Zeta5Irrational
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U_334_10
Zeta5Irrational
.
U_334_11
Zeta5Irrational
.
U_334_12
Zeta5Irrational
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U_334_13
Zeta5Irrational
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U_334_14
Zeta5Irrational
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U_334_15
Zeta5Irrational
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U_334_16
Zeta5Irrational
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U_334
Zeta5Irrational
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U_335_1
Zeta5Irrational
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U_335_2
Zeta5Irrational
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U_335_3
Zeta5Irrational
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U_335_4
Zeta5Irrational
.
U_335_5
Zeta5Irrational
.
U_335_6
Zeta5Irrational
.
U_335_7
Zeta5Irrational
.
U_335_8
Zeta5Irrational
.
U_335_9
Zeta5Irrational
.
U_335_10
Zeta5Irrational
.
U_335_11
Zeta5Irrational
.
U_335_12
Zeta5Irrational
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U_335_13
Zeta5Irrational
.
U_335_14
Zeta5Irrational
.
U_335_15
Zeta5Irrational
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U_335_16
Zeta5Irrational
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U_335
Zeta5Irrational
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U_336_1
Zeta5Irrational
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U_336_2
Zeta5Irrational
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U_336_3
Zeta5Irrational
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U_336_4
Zeta5Irrational
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U_336_5
Zeta5Irrational
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U_336_6
Zeta5Irrational
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U_336_7
Zeta5Irrational
.
U_336_8
Zeta5Irrational
.
U_336_9
Zeta5Irrational
.
U_336_10
Zeta5Irrational
.
U_336_11
Zeta5Irrational
.
U_336_12
Zeta5Irrational
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U_336_13
Zeta5Irrational
.
U_336_14
Zeta5Irrational
.
U_336_15
Zeta5Irrational
.
U_336_16
Zeta5Irrational
.
U_336
Zeta5Irrational
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U_337_1
Zeta5Irrational
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U_337_2
Zeta5Irrational
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U_337_3
Zeta5Irrational
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U_337_4
Zeta5Irrational
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U_337_5
Zeta5Irrational
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U_337_6
Zeta5Irrational
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U_337_7
Zeta5Irrational
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U_337_8
Zeta5Irrational
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U_337_9
Zeta5Irrational
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U_337_10
Zeta5Irrational
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U_337_11
Zeta5Irrational
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U_337_12
Zeta5Irrational
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U_337_13
Zeta5Irrational
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U_337_14
Zeta5Irrational
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U_337_15
Zeta5Irrational
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U_337_16
Zeta5Irrational
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U_337
Zeta5Irrational
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U_338_1
Zeta5Irrational
.
U_338_2
Zeta5Irrational
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U_338_3
Zeta5Irrational
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U_338_4
Zeta5Irrational
.
U_338_5
Zeta5Irrational
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U_338_6
Zeta5Irrational
.
U_338_7
Zeta5Irrational
.
U_338_8
Zeta5Irrational
.
U_338_9
Zeta5Irrational
.
U_338_10
Zeta5Irrational
.
U_338_11
Zeta5Irrational
.
U_338_12
Zeta5Irrational
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U_338_13
Zeta5Irrational
.
U_338_14
Zeta5Irrational
.
U_338_15
Zeta5Irrational
.
U_338_16
Zeta5Irrational
.
U_338
Zeta5Irrational
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U_339_1
Zeta5Irrational
.
U_339_2
Zeta5Irrational
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U_339_3
Zeta5Irrational
.
U_339_4
Zeta5Irrational
.
U_339_5
Zeta5Irrational
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U_339_6
Zeta5Irrational
.
U_339_7
Zeta5Irrational
.
U_339_8
Zeta5Irrational
.
U_339_9
Zeta5Irrational
.
U_339_10
Zeta5Irrational
.
U_339_11
Zeta5Irrational
.
U_339_12
Zeta5Irrational
.
U_339_13
Zeta5Irrational
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U_339_14
Zeta5Irrational
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U_339_15
Zeta5Irrational
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U_339_16
Zeta5Irrational
.
U_339
Certified arcsine potential bounds (U27)
#
source
theorem
Zeta5Irrational
.
U_328_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
38285721908981
/
128000000000000
)
≤
-
(
12287712377373996090711
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_328_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
38285721908981
/
128000000000000
)
≤
-
(
6185166194462050153967
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_328_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
38285721908981
/
128000000000000
)
≤
-
(
12538237532450347374363
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_328_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
38285721908981
/
128000000000000
)
≤
-
(
12825392018479425605597
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_328_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
38285721908981
/
128000000000000
)
≤
-
(
6642254426029126533917
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_328_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
38285721908981
/
128000000000000
)
≤
-
(
13996590595477121154087
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_328_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
38285721908981
/
128000000000000
)
≤
-
(
7549480253947935622409
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_328_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
38285721908981
/
128000000000000
)
≤
-
(
16884873835296377582209
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_328_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
38285721908981
/
128000000000000
)
≤
-
(
4090660677271729170247
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_328_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
38285721908981
/
128000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_328_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
38285721908981
/
128000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_328_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
38285721908981
/
128000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_328_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
38285721908981
/
128000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_328_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
38285721908981
/
128000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_328_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
38285721908981
/
128000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_328_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
38285721908981
/
128000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_328
:
Uρ
(
38285721908981
/
128000000000000
)
≤
-
(
16211642204940930669019
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_329_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
19181732733117
/
64000000000000
)
≤
-
(
6133489718462708656097
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_329_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
19181732733117
/
64000000000000
)
≤
-
(
12349425391609171288573
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_329_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
19181732733117
/
64000000000000
)
≤
-
(
6258484975339397372699
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_329_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
19181732733117
/
64000000000000
)
≤
-
(
640174279668968429527
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_329_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
19181732733117
/
64000000000000
)
≤
-
(
13261518716286128424891
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_329_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
19181732733117
/
64000000000000
)
≤
-
(
13971749560585366629263
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_329_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
19181732733117
/
64000000000000
)
≤
-
(
15070760978440686554333
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_329_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
19181732733117
/
64000000000000
)
≤
-
(
2106182354807468528861
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_329_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
19181732733117
/
64000000000000
)
≤
-
(
20389268512107521157571
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_329_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
19181732733117
/
64000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_329_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
19181732733117
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_329_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
19181732733117
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_329_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
19181732733117
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_329_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
19181732733117
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_329_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
19181732733117
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_329_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
19181732733117
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_329
:
Uρ
(
19181732733117
/
64000000000000
)
≤
-
(
16193895444089082419773
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_330_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
38441209023487
/
128000000000000
)
≤
-
(
61231446973232137127
/
50000000000000000000
)
source
theorem
Zeta5Irrational
.
U_330_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
38441209023487
/
128000000000000
)
≤
-
(
12328562024288774376437
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_330_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
38441209023487
/
128000000000000
)
≤
-
(
3123936886171363010597
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_330_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
38441209023487
/
128000000000000
)
≤
-
(
1278162718286327350039
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_330_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
38441209023487
/
128000000000000
)
≤
-
(
3309645428236645038509
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_330_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
38441209023487
/
128000000000000
)
≤
-
(
2789394265029026856113
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_330_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
38441209023487
/
128000000000000
)
≤
-
(
15042645037382581962017
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_330_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
38441209023487
/
128000000000000
)
≤
-
(
67256754094232746029
/
40000000000000000000
)
source
theorem
Zeta5Irrational
.
U_330_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
38441209023487
/
128000000000000
)
≤
-
(
5081483772522509532501
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_330_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
38441209023487
/
128000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_330_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
38441209023487
/
128000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_330_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
38441209023487
/
128000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_330_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
38441209023487
/
128000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_330_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
38441209023487
/
128000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_330_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
38441209023487
/
128000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_330_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
38441209023487
/
128000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_330
:
Uρ
(
38441209023487
/
128000000000000
)
≤
-
(
8088122799333122230017
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_331_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
1925947629037
/
6400000000000
)
≤
-
(
6112821036688579436813
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_331_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
1925947629037
/
6400000000000
)
≤
-
(
12307742105197329123461
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_331_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
1925947629037
/
6400000000000
)
≤
-
(
3118642530695954496121
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_331_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
1925947629037
/
6400000000000
)
≤
-
(
12759816576347544304649
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_331_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
1925947629037
/
6400000000000
)
≤
-
(
2643139519038542533491
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_331_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
1925947629037
/
6400000000000
)
≤
-
(
2784451113250624090057
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_331_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
1925947629037
/
6400000000000
)
≤
-
(
15014612166085188211901
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_331_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
1925947629037
/
6400000000000
)
≤
-
(
2097382695647042841857
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_331_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
1925947629037
/
6400000000000
)
≤
-
(
20263283021367291826911
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_331_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
1925947629037
/
6400000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_331_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
1925947629037
/
6400000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_331_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
1925947629037
/
6400000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_331_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
1925947629037
/
6400000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_331_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
1925947629037
/
6400000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_331_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
1925947629037
/
6400000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_331_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
1925947629037
/
6400000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_331
:
Uρ
(
1925947629037
/
6400000000000
)
≤
-
(
8079345331240174625109
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_332_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
19337219847623
/
64000000000000
)
≤
-
(
6092237445347728784389
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_332_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
19337219847623
/
64000000000000
)
≤
-
(
12266231890298508999037
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_332_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
19337219847623
/
64000000000000
)
≤
-
(
6216174735296002445103
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_332_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
19337219847623
/
64000000000000
)
≤
-
(
12716337939900776348663
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_332_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
19337219847623
/
64000000000000
)
≤
-
(
3292521759420410891227
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_332_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
19337219847623
/
64000000000000
)
≤
-
(
6936505099560823511611
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_332_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
19337219847623
/
64000000000000
)
≤
-
(
14958793583244939740179
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_332_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
19337219847623
/
64000000000000
)
≤
-
(
8354616257164736756719
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_332_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
19337219847623
/
64000000000000
)
≤
-
(
5034986812783164747793
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_332_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
19337219847623
/
64000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_332_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
19337219847623
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_332_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
19337219847623
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_332_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
19337219847623
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_332_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
19337219847623
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_332_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
19337219847623
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_332_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
19337219847623
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_332
:
Uρ
(
19337219847623
/
64000000000000
)
≤
-
(
16123857921615760857801
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_333_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
4853740851219
/
16000000000000
)
≤
-
(
2428695298668879795403
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_333_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
4853740851219
/
16000000000000
)
≤
-
(
6112446657647581372819
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_333_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
4853740851219
/
16000000000000
)
≤
-
(
12390306484797001658741
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_333_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
4853740851219
/
16000000000000
)
≤
-
(
6336524013436370123083
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_333_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
4853740851219
/
16000000000000
)
≤
-
(
13124685103260900577841
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_333_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
4853740851219
/
16000000000000
)
≤
-
(
1728001366084479726809
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_333_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
4853740851219
/
16000000000000
)
≤
-
(
7451650589987120200889
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_333_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
4853740851219
/
16000000000000
)
≤
-
(
16639961469023081417581
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_333_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
4853740851219
/
16000000000000
)
≤
-
(
2502389798007060102871
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_333_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
4853740851219
/
16000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_333_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
4853740851219
/
16000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_333_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
4853740851219
/
16000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_333_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
4853740851219
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_333_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
4853740851219
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_333_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
4853740851219
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_333_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
4853740851219
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_333
:
Uρ
(
4853740851219
/
16000000000000
)
≤
-
(
2011172851470674920769
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_334_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
19492706962129
/
64000000000000
)
≤
-
(
12102645502884357136123
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_334_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
19492706962129
/
64000000000000
)
≤
-
(
6091862483132022743739
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_334_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
19492706962129
/
64000000000000
)
≤
-
(
12348439675099821250339
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_334_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
19492706962129
/
64000000000000
)
≤
-
(
6314972600848446314769
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_334_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
19492706962129
/
64000000000000
)
≤
-
(
13079489878329665778293
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_334_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
19492706962129
/
64000000000000
)
≤
-
(
13775255255809352500289
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_334_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
19492706962129
/
64000000000000
)
≤
-
(
7424065491729029942457
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_334_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
19492706962129
/
64000000000000
)
≤
-
(
16571238508300731484711
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_334_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
19492706962129
/
64000000000000
)
≤
-
(
9950333064951701404441
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_334_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
19492706962129
/
64000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_334_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
19492706962129
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_334_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
19492706962129
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_334_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
19492706962129
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_334_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
19492706962129
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_334_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
19492706962129
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_334_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
19492706962129
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_334
:
Uρ
(
19492706962129
/
64000000000000
)
≤
-
(
8027626034599468880467
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_335_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
9785225259691
/
32000000000000
)
≤
-
(
12061980557693874766859
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_335_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
9785225259691
/
32000000000000
)
≤
-
(
1517840680835718813187
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_335_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
9785225259691
/
32000000000000
)
≤
-
(
6153373784945376044151
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_335_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
9785225259691
/
32000000000000
)
≤
-
(
12587027850031739223471
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_335_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
9785225259691
/
32000000000000
)
≤
-
(
814656217230021947263
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_335_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
9785225259691
/
32000000000000
)
≤
-
(
1372674072760321762727
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_335_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
9785225259691
/
32000000000000
)
≤
-
(
7396639548000137332547
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_335_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
9785225259691
/
32000000000000
)
≤
-
(
1031440874701677454237
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_335_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
9785225259691
/
32000000000000
)
≤
-
(
19784471231578686300367
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_335_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
9785225259691
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_335_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
9785225259691
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_335_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
9785225259691
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_335_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
9785225259691
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_335_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
9785225259691
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_335_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
9785225259691
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_335_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
9785225259691
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_335
:
Uρ
(
9785225259691
/
32000000000000
)
≤
-
(
8010726722061475591077
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_336_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
3929638815327
/
12800000000000
)
≤
-
(
12021480312697159223583
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_336_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
3929638815327
/
12800000000000
)
≤
-
(
3025473344290043015187
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_336_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
3929638815327
/
12800000000000
)
≤
-
(
3066307178984472565569
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_336_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
3929638815327
/
12800000000000
)
≤
-
(
12544294378394242768849
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_336_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
3929638815327
/
12800000000000
)
≤
-
(
2597942406802438394041
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_336_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
3929638815327
/
12800000000000
)
≤
-
(
6839232463065716702293
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_336_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
3929638815327
/
12800000000000
)
≤
-
(
7369370846539389318947
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_336_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
3929638815327
/
12800000000000
)
≤
-
(
16435398565581580107231
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_336_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
3929638815327
/
12800000000000
)
≤
-
(
19670424193114000292823
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_336_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
3929638815327
/
12800000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_336_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
3929638815327
/
12800000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_336_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
3929638815327
/
12800000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_336_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
3929638815327
/
12800000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_336_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
3929638815327
/
12800000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_336_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
3929638815327
/
12800000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_336_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
3929638815327
/
12800000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_336
:
Uρ
(
3929638815327
/
12800000000000
)
≤
-
(
15987975586230920657997
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_337_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
616435551059
/
2000000000000
)
≤
-
(
11981143439097091459783
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_337_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
616435551059
/
2000000000000
)
≤
-
(
12061227395127781664123
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_337_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
616435551059
/
2000000000000
)
≤
-
(
12223881678082135699073
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_337_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
616435551059
/
2000000000000
)
≤
-
(
3125435803450280365889
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_337_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
616435551059
/
2000000000000
)
≤
-
(
2589025143491211693361
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_337_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
616435551059
/
2000000000000
)
≤
-
(
13630425470284692729279
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_337_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
616435551059
/
2000000000000
)
≤
-
(
14684515021464761878583
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_337_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
616435551059
/
2000000000000
)
≤
-
(
4092065779282799140011
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_337_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
616435551059
/
2000000000000
)
≤
-
(
9779212095280143712081
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_337_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
616435551059
/
2000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_337_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
616435551059
/
2000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_337_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
616435551059
/
2000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_337_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
616435551059
/
2000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_337_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
616435551059
/
2000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_337_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
616435551059
/
2000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_337_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
616435551059
/
2000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_337
:
Uρ
(
616435551059
/
2000000000000
)
≤
-
(
7977403973744688773817
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_338_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
19803681191141
/
64000000000000
)
≤
-
(
46644408687943654039
/
39062500000000000000
)
source
theorem
Zeta5Irrational
.
U_338_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
19803681191141
/
64000000000000
)
≤
-
(
12020726154596521413683
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_338_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
19803681191141
/
64000000000000
)
≤
-
(
2436541007787700471499
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_338_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
19803681191141
/
64000000000000
)
≤
-
(
6229686401708916302631
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_338_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
19803681191141
/
64000000000000
)
≤
-
(
12900738715110178474141
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_338_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
19803681191141
/
64000000000000
)
≤
-
(
2716524003002969505043
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_338_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
19803681191141
/
64000000000000
)
≤
-
(
14630595397403589959339
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_338_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
19803681191141
/
64000000000000
)
≤
-
(
16301638799438157530459
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_338_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
19803681191141
/
64000000000000
)
≤
-
(
9724189067304602339073
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_338_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
19803681191141
/
64000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_338_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
19803681191141
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_338_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
19803681191141
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_338_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
19803681191141
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_338_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
19803681191141
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_338_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
19803681191141
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_338_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
19803681191141
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_338
:
Uρ
(
19803681191141
/
64000000000000
)
≤
-
(
15921940698173401965557
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_339_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
9940712374197
/
32000000000000
)
≤
-
(
5950477285363575388391
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_339_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
9940712374197
/
32000000000000
)
≤
-
(
5990194162937124877343
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_339_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
9940712374197
/
32000000000000
)
≤
-
(
6070848699301788378207
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_339_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
9940712374197
/
32000000000000
)
≤
-
(
1552147701776885039179
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_339_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
9940712374197
/
32000000000000
)
≤
-
(
6428274620293240149007
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_339_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
9940712374197
/
32000000000000
)
≤
-
(
13535046250598920676661
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_339_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
9940712374197
/
32000000000000
)
≤
-
(
91106120030342734303
/
62500000000000000000
)
source
theorem
Zeta5Irrational
.
U_339_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
9940712374197
/
32000000000000
)
≤
-
(
16235517004178202317679
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_339_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
9940712374197
/
32000000000000
)
≤
-
(
19340199859860171901071
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_339_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
9940712374197
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_339_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
9940712374197
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_339_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
9940712374197
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_339_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
9940712374197
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_339_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
9940712374197
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_339_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
9940712374197
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_339_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
9940712374197
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_339
:
Uρ
(
9940712374197
/
32000000000000
)
≤
-
(
127114917233107029293
/
80000000000000000000
)