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.
Zeta5Irrational
.
Table
.
U24
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Imports
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LeanPool.Zeta5Irrational.Table.UpperCertificate
Imported by
Zeta5Irrational
.
U_292_1
Zeta5Irrational
.
U_292_2
Zeta5Irrational
.
U_292_3
Zeta5Irrational
.
U_292_4
Zeta5Irrational
.
U_292_5
Zeta5Irrational
.
U_292_6
Zeta5Irrational
.
U_292_7
Zeta5Irrational
.
U_292_8
Zeta5Irrational
.
U_292_9
Zeta5Irrational
.
U_292_10
Zeta5Irrational
.
U_292_11
Zeta5Irrational
.
U_292_12
Zeta5Irrational
.
U_292_13
Zeta5Irrational
.
U_292_14
Zeta5Irrational
.
U_292_15
Zeta5Irrational
.
U_292_16
Zeta5Irrational
.
U_292
Zeta5Irrational
.
U_293_1
Zeta5Irrational
.
U_293_2
Zeta5Irrational
.
U_293_3
Zeta5Irrational
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U_293_4
Zeta5Irrational
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U_293_5
Zeta5Irrational
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U_293_6
Zeta5Irrational
.
U_293_7
Zeta5Irrational
.
U_293_8
Zeta5Irrational
.
U_293_9
Zeta5Irrational
.
U_293_10
Zeta5Irrational
.
U_293_11
Zeta5Irrational
.
U_293_12
Zeta5Irrational
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U_293_13
Zeta5Irrational
.
U_293_14
Zeta5Irrational
.
U_293_15
Zeta5Irrational
.
U_293_16
Zeta5Irrational
.
U_293
Zeta5Irrational
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U_294_1
Zeta5Irrational
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U_294_2
Zeta5Irrational
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U_294_3
Zeta5Irrational
.
U_294_4
Zeta5Irrational
.
U_294_5
Zeta5Irrational
.
U_294_6
Zeta5Irrational
.
U_294_7
Zeta5Irrational
.
U_294_8
Zeta5Irrational
.
U_294_9
Zeta5Irrational
.
U_294_10
Zeta5Irrational
.
U_294_11
Zeta5Irrational
.
U_294_12
Zeta5Irrational
.
U_294_13
Zeta5Irrational
.
U_294_14
Zeta5Irrational
.
U_294_15
Zeta5Irrational
.
U_294_16
Zeta5Irrational
.
U_294
Zeta5Irrational
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U_295_1
Zeta5Irrational
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U_295_2
Zeta5Irrational
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U_295_3
Zeta5Irrational
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U_295_4
Zeta5Irrational
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U_295_5
Zeta5Irrational
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U_295_6
Zeta5Irrational
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U_295_7
Zeta5Irrational
.
U_295_8
Zeta5Irrational
.
U_295_9
Zeta5Irrational
.
U_295_10
Zeta5Irrational
.
U_295_11
Zeta5Irrational
.
U_295_12
Zeta5Irrational
.
U_295_13
Zeta5Irrational
.
U_295_14
Zeta5Irrational
.
U_295_15
Zeta5Irrational
.
U_295_16
Zeta5Irrational
.
U_295
Zeta5Irrational
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U_296_1
Zeta5Irrational
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U_296_2
Zeta5Irrational
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U_296_3
Zeta5Irrational
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U_296_4
Zeta5Irrational
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U_296_5
Zeta5Irrational
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U_296_6
Zeta5Irrational
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U_296_7
Zeta5Irrational
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U_296_8
Zeta5Irrational
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U_296_9
Zeta5Irrational
.
U_296_10
Zeta5Irrational
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U_296_11
Zeta5Irrational
.
U_296_12
Zeta5Irrational
.
U_296_13
Zeta5Irrational
.
U_296_14
Zeta5Irrational
.
U_296_15
Zeta5Irrational
.
U_296_16
Zeta5Irrational
.
U_296
Zeta5Irrational
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U_297_1
Zeta5Irrational
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U_297_2
Zeta5Irrational
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U_297_3
Zeta5Irrational
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U_297_4
Zeta5Irrational
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U_297_5
Zeta5Irrational
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U_297_6
Zeta5Irrational
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U_297_7
Zeta5Irrational
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U_297_8
Zeta5Irrational
.
U_297_9
Zeta5Irrational
.
U_297_10
Zeta5Irrational
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U_297_11
Zeta5Irrational
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U_297_12
Zeta5Irrational
.
U_297_13
Zeta5Irrational
.
U_297_14
Zeta5Irrational
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U_297_15
Zeta5Irrational
.
U_297_16
Zeta5Irrational
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U_297
Zeta5Irrational
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U_298_1
Zeta5Irrational
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U_298_2
Zeta5Irrational
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U_298_3
Zeta5Irrational
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U_298_4
Zeta5Irrational
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U_298_5
Zeta5Irrational
.
U_298_6
Zeta5Irrational
.
U_298_7
Zeta5Irrational
.
U_298_8
Zeta5Irrational
.
U_298_9
Zeta5Irrational
.
U_298_10
Zeta5Irrational
.
U_298_11
Zeta5Irrational
.
U_298_12
Zeta5Irrational
.
U_298_13
Zeta5Irrational
.
U_298_14
Zeta5Irrational
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U_298_15
Zeta5Irrational
.
U_298_16
Zeta5Irrational
.
U_298
Zeta5Irrational
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U_299_1
Zeta5Irrational
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U_299_2
Zeta5Irrational
.
U_299_3
Zeta5Irrational
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U_299_4
Zeta5Irrational
.
U_299_5
Zeta5Irrational
.
U_299_6
Zeta5Irrational
.
U_299_7
Zeta5Irrational
.
U_299_8
Zeta5Irrational
.
U_299_9
Zeta5Irrational
.
U_299_10
Zeta5Irrational
.
U_299_11
Zeta5Irrational
.
U_299_12
Zeta5Irrational
.
U_299_13
Zeta5Irrational
.
U_299_14
Zeta5Irrational
.
U_299_15
Zeta5Irrational
.
U_299_16
Zeta5Irrational
.
U_299
Zeta5Irrational
.
U_300_1
Zeta5Irrational
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U_300_2
Zeta5Irrational
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U_300_3
Zeta5Irrational
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U_300_4
Zeta5Irrational
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U_300_5
Zeta5Irrational
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U_300_6
Zeta5Irrational
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U_300_7
Zeta5Irrational
.
U_300_8
Zeta5Irrational
.
U_300_9
Zeta5Irrational
.
U_300_10
Zeta5Irrational
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U_300_11
Zeta5Irrational
.
U_300_12
Zeta5Irrational
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U_300_13
Zeta5Irrational
.
U_300_14
Zeta5Irrational
.
U_300_15
Zeta5Irrational
.
U_300_16
Zeta5Irrational
.
U_300
Zeta5Irrational
.
U_301_1
Zeta5Irrational
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U_301_2
Zeta5Irrational
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U_301_3
Zeta5Irrational
.
U_301_4
Zeta5Irrational
.
U_301_5
Zeta5Irrational
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U_301_6
Zeta5Irrational
.
U_301_7
Zeta5Irrational
.
U_301_8
Zeta5Irrational
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U_301_9
Zeta5Irrational
.
U_301_10
Zeta5Irrational
.
U_301_11
Zeta5Irrational
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U_301_12
Zeta5Irrational
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U_301_13
Zeta5Irrational
.
U_301_14
Zeta5Irrational
.
U_301_15
Zeta5Irrational
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U_301_16
Zeta5Irrational
.
U_301
Zeta5Irrational
.
U_302_1
Zeta5Irrational
.
U_302_2
Zeta5Irrational
.
U_302_3
Zeta5Irrational
.
U_302_4
Zeta5Irrational
.
U_302_5
Zeta5Irrational
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U_302_6
Zeta5Irrational
.
U_302_7
Zeta5Irrational
.
U_302_8
Zeta5Irrational
.
U_302_9
Zeta5Irrational
.
U_302_10
Zeta5Irrational
.
U_302_11
Zeta5Irrational
.
U_302_12
Zeta5Irrational
.
U_302_13
Zeta5Irrational
.
U_302_14
Zeta5Irrational
.
U_302_15
Zeta5Irrational
.
U_302_16
Zeta5Irrational
.
U_302
Zeta5Irrational
.
U_303_1
Zeta5Irrational
.
U_303_2
Zeta5Irrational
.
U_303_3
Zeta5Irrational
.
U_303_4
Zeta5Irrational
.
U_303_5
Zeta5Irrational
.
U_303_6
Zeta5Irrational
.
U_303_7
Zeta5Irrational
.
U_303_8
Zeta5Irrational
.
U_303_9
Zeta5Irrational
.
U_303_10
Zeta5Irrational
.
U_303_11
Zeta5Irrational
.
U_303_12
Zeta5Irrational
.
U_303_13
Zeta5Irrational
.
U_303_14
Zeta5Irrational
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U_303_15
Zeta5Irrational
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U_303_16
Zeta5Irrational
.
U_303
Certified arcsine potential bounds (U24)
#
source
theorem
Zeta5Irrational
.
U_292_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
2052407623963
/
8000000000000
)
≤
-
(
3464788411850854761307
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_292_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
2052407623963
/
8000000000000
)
≤
-
(
3489029123349057418429
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_292_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
2052407623963
/
8000000000000
)
≤
-
(
14153838244717469109831
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_292_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
2052407623963
/
8000000000000
)
≤
-
(
3623542733545598920361
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_292_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
2052407623963
/
8000000000000
)
≤
-
(
3761145976967960412099
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_292_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
2052407623963
/
8000000000000
)
≤
-
(
1989507064440686596057
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_292_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
2052407623963
/
8000000000000
)
≤
-
(
8660390319253113093879
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_292_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
2052407623963
/
8000000000000
)
≤
-
(
3967468627530778132021
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_292_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
2052407623963
/
8000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_292_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
2052407623963
/
8000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_292_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
2052407623963
/
8000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_292_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
2052407623963
/
8000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_292_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
2052407623963
/
8000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_292_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
2052407623963
/
8000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_292_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
2052407623963
/
8000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_292_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
2052407623963
/
8000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_292
:
Uρ
(
2052407623963
/
8000000000000
)
≤
-
(
17740742306804529030479
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_293_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
41730554821
/
160000000000
)
≤
-
(
13690051247136983319469
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_293_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
41730554821
/
160000000000
)
≤
-
(
13785355958980859419847
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_293_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
41730554821
/
160000000000
)
≤
-
(
13979620201121910036697
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_293_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
41730554821
/
160000000000
)
≤
-
(
2862750073378134468569
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_293_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
41730554821
/
160000000000
)
≤
-
(
14853402445948760473001
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_293_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
41730554821
/
160000000000
)
≤
-
(
15705721418374445952343
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_293_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
41730554821
/
160000000000
)
≤
-
(
2134081990146632886253
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_293_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
41730554821
/
160000000000
)
≤
-
(
19487658528202780408503
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_293_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
41730554821
/
160000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_293_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
41730554821
/
160000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_293_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
41730554821
/
160000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_293_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
41730554821
/
160000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_293_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
41730554821
/
160000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_293_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
41730554821
/
160000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_293_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
41730554821
/
160000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_293_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
41730554821
/
160000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_293
:
Uρ
(
41730554821
/
160000000000
)
≤
-
(
881709807907133594019
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_294_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
269345996903
/
1000000000000
)
≤
-
(
13360191075021170630243
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_294_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
269345996903
/
1000000000000
)
≤
-
(
26904688033233695969
/
20000000000000000000
)
source
theorem
Zeta5Irrational
.
U_294_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
269345996903
/
1000000000000
)
≤
-
(
3410010963726477067487
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_294_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
269345996903
/
1000000000000
)
≤
-
(
13962424118052550522617
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_294_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
269345996903
/
1000000000000
)
≤
-
(
14481773407649457578313
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_294_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
269345996903
/
1000000000000
)
≤
-
(
1529822745192444888481
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_294_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
269345996903
/
1000000000000
)
≤
-
(
16595518643128249441507
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_294_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
269345996903
/
1000000000000
)
≤
-
(
18831930265090184175181
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_294_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
269345996903
/
1000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_294_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
269345996903
/
1000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_294_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
269345996903
/
1000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_294_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
269345996903
/
1000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_294_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
269345996903
/
1000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_294_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
269345996903
/
1000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_294_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
269345996903
/
1000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_294_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
269345996903
/
1000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_294
:
Uρ
(
269345996903
/
1000000000000
)
≤
-
(
4357409086777446195519
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_295_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
8696815458149
/
32000000000000
)
≤
-
(
265363977074615904323
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_295_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
8696815458149
/
32000000000000
)
≤
-
(
6679745953429830672479
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_295_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
8696815458149
/
32000000000000
)
≤
-
(
13545402519784924013857
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_295_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
8696815458149
/
32000000000000
)
≤
-
(
6932293049890189446321
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_295_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
8696815458149
/
32000000000000
)
≤
-
(
1437843032608491819939
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_295_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
8696815458149
/
32000000000000
)
≤
-
(
15185220254473415163101
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_295_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
8696815458149
/
32000000000000
)
≤
-
(
3292797548244679441269
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_295_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
8696815458149
/
32000000000000
)
≤
-
(
18654625142945181295753
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_295_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
8696815458149
/
32000000000000
)
≤
-
(
12544728152889271956379
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_295_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
8696815458149
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_295_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
8696815458149
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_295_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
8696815458149
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_295_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
8696815458149
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_295_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
8696815458149
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_295_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
8696815458149
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_295_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
8696815458149
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_295
:
Uρ
(
8696815458149
/
32000000000000
)
≤
-
(
4301440739823679509847
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_296_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
4387279507701
/
16000000000000
)
≤
-
(
6588522609675428053601
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_296_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
4387279507701
/
16000000000000
)
≤
-
(
1326749428282152019991
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_296_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
4387279507701
/
16000000000000
)
≤
-
(
6725824734455487825467
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_296_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
4387279507701
/
16000000000000
)
≤
-
(
3441924802935448534447
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_296_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
4387279507701
/
16000000000000
)
≤
-
(
1784519279932689038239
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_296_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
4387279507701
/
16000000000000
)
≤
-
(
3768377053057300971997
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_296_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
4387279507701
/
16000000000000
)
≤
-
(
16334286269266483063657
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_296_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
4387279507701
/
16000000000000
)
≤
-
(
4620280082110656607647
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_296_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
4387279507701
/
16000000000000
)
≤
-
(
24307602199671372227129
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_296_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
4387279507701
/
16000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_296_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
4387279507701
/
16000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_296_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
4387279507701
/
16000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_296_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
4387279507701
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_296_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
4387279507701
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_296_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
4387279507701
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_296_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
4387279507701
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_296
:
Uρ
(
4387279507701
/
16000000000000
)
≤
-
(
17081173195794320474823
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_297_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
1770460514531
/
6400000000000
)
≤
-
(
13086715020354936082899
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_297_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
1770460514531
/
6400000000000
)
≤
-
(
3294083889020482951309
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_297_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
1770460514531
/
6400000000000
)
≤
-
(
13358768164879755402591
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_297_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
1770460514531
/
6400000000000
)
≤
-
(
13671745074242828367393
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_297_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
1770460514531
/
6400000000000
)
≤
-
(
14174923141875718530619
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_297_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
1770460514531
/
6400000000000
)
≤
-
(
14963061266796872825393
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_297_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
1770460514531
/
6400000000000
)
≤
-
(
1620636089527790470651
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_297_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
1770460514531
/
6400000000000
)
≤
-
(
4577807632937310211223
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_297_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
1770460514531
/
6400000000000
)
≤
-
(
23710349633563607825731
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_297_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
1770460514531
/
6400000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_297_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
1770460514531
/
6400000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_297_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
1770460514531
/
6400000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_297_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
1770460514531
/
6400000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_297_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
1770460514531
/
6400000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_297_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
1770460514531
/
6400000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_297_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
1770460514531
/
6400000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_297
:
Uρ
(
1770460514531
/
6400000000000
)
≤
-
(
16973651665081069339969
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_298_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
17782348702563
/
64000000000000
)
≤
-
(
6520927042978397703819
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_298_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
17782348702563
/
64000000000000
)
≤
-
(
13131066023857589108797
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_298_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
17782348702563
/
64000000000000
)
≤
-
(
13312649375703026812221
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_298_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
17782348702563
/
64000000000000
)
≤
-
(
13624112191107404353649
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_298_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
17782348702563
/
64000000000000
)
≤
-
(
2824938554749409884513
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_298_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
17782348702563
/
64000000000000
)
≤
-
(
14908303102564459612481
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_298_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
17782348702563
/
64000000000000
)
≤
-
(
16143048243093906018401
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_298_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
17782348702563
/
64000000000000
)
≤
-
(
18227587364746944480603
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_298_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
17782348702563
/
64000000000000
)
≤
-
(
2345044511846416428901
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_298_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
17782348702563
/
64000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_298_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
17782348702563
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_298_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
17782348702563
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_298_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
17782348702563
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_298_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
17782348702563
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_298_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
17782348702563
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_298_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
17782348702563
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_298
:
Uρ
(
17782348702563
/
64000000000000
)
≤
-
(
16923589864234457423761
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_299_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
2232511532477
/
8000000000000
)
≤
-
(
6498596756097873732649
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_299_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
2232511532477
/
8000000000000
)
≤
-
(
327150014026541970697
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_299_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
2232511532477
/
8000000000000
)
≤
-
(
1658342816041916903219
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_299_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
2232511532477
/
8000000000000
)
≤
-
(
2715341168884718786139
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_299_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
2232511532477
/
8000000000000
)
≤
-
(
14074715707090353918203
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_299_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
2232511532477
/
8000000000000
)
≤
-
(
7426925208423690697017
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_299_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
2232511532477
/
8000000000000
)
≤
-
(
3216032140314322800777
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_299_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
2232511532477
/
8000000000000
)
≤
-
(
18144784941387903088781
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_299_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
2232511532477
/
8000000000000
)
≤
-
(
11604530457872435747047
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_299_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
2232511532477
/
8000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_299_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
2232511532477
/
8000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_299_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
2232511532477
/
8000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_299_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
2232511532477
/
8000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_299_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
2232511532477
/
8000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_299_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
2232511532477
/
8000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_299_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
2232511532477
/
8000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_299
:
Uρ
(
2232511532477
/
8000000000000
)
≤
-
(
16875345848822549837269
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_300_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
17937835817069
/
64000000000000
)
≤
-
(
12952731517223761911667
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_300_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
17937835817069
/
64000000000000
)
≤
-
(
1630142166947326220879
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_300_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
17937835817069
/
64000000000000
)
≤
-
(
13221045681674648191651
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_300_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
17937835817069
/
64000000000000
)
≤
-
(
3382380970715133003067
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_300_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
17937835817069
/
64000000000000
)
≤
-
(
1753123672217734173881
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_300_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
17937835817069
/
64000000000000
)
≤
-
(
14799699741453893134069
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_300_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
17937835817069
/
64000000000000
)
≤
-
(
320353845175740239713
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_300_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
17937835817069
/
64000000000000
)
≤
-
(
18062803918743756208487
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_300_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
17937835817069
/
64000000000000
)
≤
-
(
22982841438817210519433
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_300_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
17937835817069
/
64000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_300_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
17937835817069
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_300_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
17937835817069
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_300_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
17937835817069
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_300_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
17937835817069
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_300_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
17937835817069
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_300_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
17937835817069
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_300
:
Uρ
(
17937835817069
/
64000000000000
)
≤
-
(
8414310178676383152373
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_301_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
9007789687161
/
32000000000000
)
≤
-
(
12908466342858148682791
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_301_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
9007789687161
/
32000000000000
)
≤
-
(
12996474539862435628569
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_301_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
9007789687161
/
32000000000000
)
≤
-
(
1646944615148955121397
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_301_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
9007789687161
/
32000000000000
)
≤
-
(
1348256418568254684709
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_301_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
9007789687161
/
32000000000000
)
≤
-
(
3493877815151177753499
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_301_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
9007789687161
/
32000000000000
)
≤
-
(
737292383409021471139
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_301_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
9007789687161
/
32000000000000
)
≤
-
(
7977818517863032778631
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_301_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
9007789687161
/
32000000000000
)
≤
-
(
3596325135396607525091
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_301_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
9007789687161
/
32000000000000
)
≤
-
(
2276934142411561312073
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_301_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
9007789687161
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_301_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
9007789687161
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_301_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
9007789687161
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_301_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
9007789687161
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_301_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
9007789687161
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_301_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
9007789687161
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_301_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
9007789687161
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_301
:
Uρ
(
9007789687161
/
32000000000000
)
≤
-
(
3356638919890918301819
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_302_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
723732917263
/
2560000000000
)
≤
-
(
6432198127082150183279
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_302_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
723732917263
/
2560000000000
)
≤
-
(
1619001298812421734721
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_302_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
723732917263
/
2560000000000
)
≤
-
(
6565137179223193084959
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_302_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
723732917263
/
2560000000000
)
≤
-
(
335895616554249685107
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_302_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
723732917263
/
2560000000000
)
≤
-
(
6963139434426427686679
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_302_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
723732917263
/
2560000000000
)
≤
-
(
14692290847409693047619
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_302_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
723732917263
/
2560000000000
)
≤
-
(
7946994641123173545093
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_302_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
723732917263
/
2560000000000
)
≤
-
(
3580246456361628938953
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_302_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
723732917263
/
2560000000000
)
≤
-
(
11283356655203721398811
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_302_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
723732917263
/
2560000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_302_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
723732917263
/
2560000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_302_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
723732917263
/
2560000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_302_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
723732917263
/
2560000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_302_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
723732917263
/
2560000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_302_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
723732917263
/
2560000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_302_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
723732917263
/
2560000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_302
:
Uρ
(
723732917263
/
2560000000000
)
≤
-
(
2092362830814368895911
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_303_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
4542766622207
/
16000000000000
)
≤
-
(
12820519539047609253381
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_303_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
4542766622207
/
16000000000000
)
≤
-
(
12907743127780000518383
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_303_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
4542766622207
/
16000000000000
)
≤
-
(
6542598065307995406991
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_303_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
4542766622207
/
16000000000000
)
≤
-
(
13389303251053762690677
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_303_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
4542766622207
/
16000000000000
)
≤
-
(
13877289753155558398313
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_303_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
4542766622207
/
16000000000000
)
≤
-
(
7319512993375079674599
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_303_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
4542766622207
/
16000000000000
)
≤
-
(
15832743373195214114231
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_303_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
4542766622207
/
16000000000000
)
≤
-
(
8910803224689173136883
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_303_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
4542766622207
/
16000000000000
)
≤
-
(
11186760242463115104121
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_303_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
4542766622207
/
16000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_303_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
4542766622207
/
16000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_303_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
4542766622207
/
16000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_303_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
4542766622207
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_303_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
4542766622207
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_303_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
4542766622207
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_303_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
4542766622207
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_303
:
Uρ
(
4542766622207
/
16000000000000
)
≤
-
(
8347807468509570491919
/
5000000000000000000000
)