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.
Zeta5Irrational
.
Table
.
U33
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Imports
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LeanPool.Zeta5Irrational.Table.UpperCertificate
Imported by
Zeta5Irrational
.
U_400_1
Zeta5Irrational
.
U_400_2
Zeta5Irrational
.
U_400_3
Zeta5Irrational
.
U_400_4
Zeta5Irrational
.
U_400_5
Zeta5Irrational
.
U_400_6
Zeta5Irrational
.
U_400_7
Zeta5Irrational
.
U_400_8
Zeta5Irrational
.
U_400_9
Zeta5Irrational
.
U_400_10
Zeta5Irrational
.
U_400_11
Zeta5Irrational
.
U_400_12
Zeta5Irrational
.
U_400_13
Zeta5Irrational
.
U_400_14
Zeta5Irrational
.
U_400_15
Zeta5Irrational
.
U_400_16
Zeta5Irrational
.
U_400
Zeta5Irrational
.
U_401_1
Zeta5Irrational
.
U_401_2
Zeta5Irrational
.
U_401_3
Zeta5Irrational
.
U_401_4
Zeta5Irrational
.
U_401_5
Zeta5Irrational
.
U_401_6
Zeta5Irrational
.
U_401_7
Zeta5Irrational
.
U_401_8
Zeta5Irrational
.
U_401_9
Zeta5Irrational
.
U_401_10
Zeta5Irrational
.
U_401_11
Zeta5Irrational
.
U_401_12
Zeta5Irrational
.
U_401_13
Zeta5Irrational
.
U_401_14
Zeta5Irrational
.
U_401_15
Zeta5Irrational
.
U_401_16
Zeta5Irrational
.
U_401
Zeta5Irrational
.
U_402_1
Zeta5Irrational
.
U_402_2
Zeta5Irrational
.
U_402_3
Zeta5Irrational
.
U_402_4
Zeta5Irrational
.
U_402_5
Zeta5Irrational
.
U_402_6
Zeta5Irrational
.
U_402_7
Zeta5Irrational
.
U_402_8
Zeta5Irrational
.
U_402_9
Zeta5Irrational
.
U_402_10
Zeta5Irrational
.
U_402_11
Zeta5Irrational
.
U_402_12
Zeta5Irrational
.
U_402_13
Zeta5Irrational
.
U_402_14
Zeta5Irrational
.
U_402_15
Zeta5Irrational
.
U_402_16
Zeta5Irrational
.
U_402
Zeta5Irrational
.
U_403_1
Zeta5Irrational
.
U_403_2
Zeta5Irrational
.
U_403_3
Zeta5Irrational
.
U_403_4
Zeta5Irrational
.
U_403_5
Zeta5Irrational
.
U_403_6
Zeta5Irrational
.
U_403_7
Zeta5Irrational
.
U_403_8
Zeta5Irrational
.
U_403_9
Zeta5Irrational
.
U_403_10
Zeta5Irrational
.
U_403_11
Zeta5Irrational
.
U_403_12
Zeta5Irrational
.
U_403_13
Zeta5Irrational
.
U_403_14
Zeta5Irrational
.
U_403_15
Zeta5Irrational
.
U_403_16
Zeta5Irrational
.
U_403
Zeta5Irrational
.
U_404_1
Zeta5Irrational
.
U_404_2
Zeta5Irrational
.
U_404_3
Zeta5Irrational
.
U_404_4
Zeta5Irrational
.
U_404_5
Zeta5Irrational
.
U_404_6
Zeta5Irrational
.
U_404_7
Zeta5Irrational
.
U_404_8
Zeta5Irrational
.
U_404_9
Zeta5Irrational
.
U_404_10
Zeta5Irrational
.
U_404_11
Zeta5Irrational
.
U_404_12
Zeta5Irrational
.
U_404_13
Zeta5Irrational
.
U_404_14
Zeta5Irrational
.
U_404_15
Zeta5Irrational
.
U_404_16
Zeta5Irrational
.
U_404
Zeta5Irrational
.
U_405_1
Zeta5Irrational
.
U_405_2
Zeta5Irrational
.
U_405_3
Zeta5Irrational
.
U_405_4
Zeta5Irrational
.
U_405_5
Zeta5Irrational
.
U_405_6
Zeta5Irrational
.
U_405_7
Zeta5Irrational
.
U_405_8
Zeta5Irrational
.
U_405_9
Zeta5Irrational
.
U_405_10
Zeta5Irrational
.
U_405_11
Zeta5Irrational
.
U_405_12
Zeta5Irrational
.
U_405_13
Zeta5Irrational
.
U_405_14
Zeta5Irrational
.
U_405_15
Zeta5Irrational
.
U_405_16
Zeta5Irrational
.
U_405
Zeta5Irrational
.
U_406_1
Zeta5Irrational
.
U_406_2
Zeta5Irrational
.
U_406_3
Zeta5Irrational
.
U_406_4
Zeta5Irrational
.
U_406_5
Zeta5Irrational
.
U_406_6
Zeta5Irrational
.
U_406_7
Zeta5Irrational
.
U_406_8
Zeta5Irrational
.
U_406_9
Zeta5Irrational
.
U_406_10
Zeta5Irrational
.
U_406_11
Zeta5Irrational
.
U_406_12
Zeta5Irrational
.
U_406_13
Zeta5Irrational
.
U_406_14
Zeta5Irrational
.
U_406_15
Zeta5Irrational
.
U_406_16
Zeta5Irrational
.
U_406
Zeta5Irrational
.
U_407_1
Zeta5Irrational
.
U_407_2
Zeta5Irrational
.
U_407_3
Zeta5Irrational
.
U_407_4
Zeta5Irrational
.
U_407_5
Zeta5Irrational
.
U_407_6
Zeta5Irrational
.
U_407_7
Zeta5Irrational
.
U_407_8
Zeta5Irrational
.
U_407_9
Zeta5Irrational
.
U_407_10
Zeta5Irrational
.
U_407_11
Zeta5Irrational
.
U_407_12
Zeta5Irrational
.
U_407_13
Zeta5Irrational
.
U_407_14
Zeta5Irrational
.
U_407_15
Zeta5Irrational
.
U_407_16
Zeta5Irrational
.
U_407
Zeta5Irrational
.
U_408_1
Zeta5Irrational
.
U_408_2
Zeta5Irrational
.
U_408_3
Zeta5Irrational
.
U_408_4
Zeta5Irrational
.
U_408_5
Zeta5Irrational
.
U_408_6
Zeta5Irrational
.
U_408_7
Zeta5Irrational
.
U_408_8
Zeta5Irrational
.
U_408_9
Zeta5Irrational
.
U_408_10
Zeta5Irrational
.
U_408_11
Zeta5Irrational
.
U_408_12
Zeta5Irrational
.
U_408_13
Zeta5Irrational
.
U_408_14
Zeta5Irrational
.
U_408_15
Zeta5Irrational
.
U_408_16
Zeta5Irrational
.
U_408
Zeta5Irrational
.
U_409_1
Zeta5Irrational
.
U_409_2
Zeta5Irrational
.
U_409_3
Zeta5Irrational
.
U_409_4
Zeta5Irrational
.
U_409_5
Zeta5Irrational
.
U_409_6
Zeta5Irrational
.
U_409_7
Zeta5Irrational
.
U_409_8
Zeta5Irrational
.
U_409_9
Zeta5Irrational
.
U_409_10
Zeta5Irrational
.
U_409_11
Zeta5Irrational
.
U_409_12
Zeta5Irrational
.
U_409_13
Zeta5Irrational
.
U_409_14
Zeta5Irrational
.
U_409_15
Zeta5Irrational
.
U_409_16
Zeta5Irrational
.
U_409
Zeta5Irrational
.
U_410_1
Zeta5Irrational
.
U_410_2
Zeta5Irrational
.
U_410_3
Zeta5Irrational
.
U_410_4
Zeta5Irrational
.
U_410_5
Zeta5Irrational
.
U_410_6
Zeta5Irrational
.
U_410_7
Zeta5Irrational
.
U_410_8
Zeta5Irrational
.
U_410_9
Zeta5Irrational
.
U_410_10
Zeta5Irrational
.
U_410_11
Zeta5Irrational
.
U_410_12
Zeta5Irrational
.
U_410_13
Zeta5Irrational
.
U_410_14
Zeta5Irrational
.
U_410_15
Zeta5Irrational
.
U_410_16
Zeta5Irrational
.
U_410
Zeta5Irrational
.
U_411_1
Zeta5Irrational
.
U_411_2
Zeta5Irrational
.
U_411_3
Zeta5Irrational
.
U_411_4
Zeta5Irrational
.
U_411_5
Zeta5Irrational
.
U_411_6
Zeta5Irrational
.
U_411_7
Zeta5Irrational
.
U_411_8
Zeta5Irrational
.
U_411_9
Zeta5Irrational
.
U_411_10
Zeta5Irrational
.
U_411_11
Zeta5Irrational
.
U_411_12
Zeta5Irrational
.
U_411_13
Zeta5Irrational
.
U_411_14
Zeta5Irrational
.
U_411_15
Zeta5Irrational
.
U_411_16
Zeta5Irrational
.
U_411
Certified arcsine potential bounds (U33)
#
source
theorem
Zeta5Irrational
.
U_400_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
12864925888431
/
32000000000000
)
≤
-
(
9274145591088656349597
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_400_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
12864925888431
/
32000000000000
)
≤
-
(
145859318811119573189
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_400_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
12864925888431
/
32000000000000
)
≤
-
(
9458033394948477753999
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_400_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
12864925888431
/
32000000000000
)
≤
-
(
4833229095758892645243
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_400_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
12864925888431
/
32000000000000
)
≤
-
(
9994254414217391606101
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_400_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
12864925888431
/
32000000000000
)
≤
-
(
10488546692852194258217
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_400_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
12864925888431
/
32000000000000
)
≤
-
(
2804114770301443257797
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_400_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
12864925888431
/
32000000000000
)
≤
-
(
12284230347491191553647
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_400_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
12864925888431
/
32000000000000
)
≤
-
(
6949648283068307006159
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_400_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
12864925888431
/
32000000000000
)
≤
-
(
16686293334959350296841
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_400_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
12864925888431
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_400_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
12864925888431
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_400_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
12864925888431
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_400_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
12864925888431
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_400_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
12864925888431
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_400_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
12864925888431
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_400
:
Uρ
(
12864925888431
/
32000000000000
)
≤
-
(
6646107995395590288459
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_401_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
1294864303869
/
3200000000000
)
≤
-
(
2302056756254861910491
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_401_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
1294864303869
/
3200000000000
)
≤
-
(
1853734599609437634619
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_401_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
1294864303869
/
3200000000000
)
≤
-
(
4695439966694920649199
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_401_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
1294864303869
/
3200000000000
)
≤
-
(
9597862507636789230839
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_401_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
1294864303869
/
3200000000000
)
≤
-
(
1240411754096010472283
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_401_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
1294864303869
/
3200000000000
)
≤
-
(
1301722415710541881821
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_401_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
1294864303869
/
3200000000000
)
≤
-
(
5567744317910864751661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_401_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
1294864303869
/
3200000000000
)
≤
-
(
12192603200744992393569
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_401_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
1294864303869
/
3200000000000
)
≤
-
(
13786735457843431653397
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_401_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
1294864303869
/
3200000000000
)
≤
-
(
16512559890281452104139
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_401_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
1294864303869
/
3200000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_401_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
1294864303869
/
3200000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_401_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
1294864303869
/
3200000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_401_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
1294864303869
/
3200000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_401_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
1294864303869
/
3200000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_401_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
1294864303869
/
3200000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_401
:
Uρ
(
1294864303869
/
3200000000000
)
≤
-
(
13232137085469873442083
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_402_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
13032360188949
/
32000000000000
)
≤
-
(
2285685037350096200439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_402_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
13032360188949
/
32000000000000
)
≤
-
(
4601393316889063213119
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_402_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
13032360188949
/
32000000000000
)
≤
-
(
4662087319745159335967
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_402_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
13032360188949
/
32000000000000
)
≤
-
(
1191216852877995912977
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_402_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
13032360188949
/
32000000000000
)
≤
-
(
9852835570745593329249
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_402_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
13032360188949
/
32000000000000
)
≤
-
(
10339572280256983547971
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_402_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
13032360188949
/
32000000000000
)
≤
-
(
690949015699183907021
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_402_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
13032360188949
/
32000000000000
)
≤
-
(
12101857029900682044303
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_402_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
13032360188949
/
32000000000000
)
≤
-
(
6837808690690216867231
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_402_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
13032360188949
/
32000000000000
)
≤
-
(
2042910051658331651807
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_402_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
13032360188949
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_402_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
13032360188949
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_402_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
13032360188949
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_402_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
13032360188949
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_402_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
13032360188949
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_402_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
13032360188949
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_402
:
Uρ
(
13032360188949
/
32000000000000
)
≤
-
(
13172843436669313561171
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_403_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
1639509667401
/
4000000000000
)
≤
-
(
9077679346739136303621
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_403_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
1639509667401
/
4000000000000
)
≤
-
(
2284332897053214077443
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_403_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
1639509667401
/
4000000000000
)
≤
-
(
4628955784060132778483
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_403_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
1639509667401
/
4000000000000
)
≤
-
(
9462068786104314284357
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_403_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
1639509667401
/
4000000000000
)
≤
-
(
4891435975477487785923
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_403_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
1639509667401
/
4000000000000
)
≤
-
(
10265917141164475357851
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_403_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
1639509667401
/
4000000000000
)
≤
-
(
1371941851203687294137
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_403_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
1639509667401
/
4000000000000
)
≤
-
(
12011974165207489099981
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_403_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
1639509667401
/
4000000000000
)
≤
-
(
1695737679398358110773
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_403_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
1639509667401
/
4000000000000
)
≤
-
(
647126960665450513509
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_403_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
1639509667401
/
4000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_403_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
1639509667401
/
4000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_403_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
1639509667401
/
4000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_403_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
1639509667401
/
4000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_403_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
1639509667401
/
4000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_403_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
1639509667401
/
4000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_403
:
Uρ
(
1639509667401
/
4000000000000
)
≤
-
(
3278575728550199324133
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_404_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
6641755819863
/
16000000000000
)
≤
-
(
8948814032234249353119
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_404_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
6641755819863
/
16000000000000
)
≤
-
(
1125961639650166118421
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_404_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
6641755819863
/
16000000000000
)
≤
-
(
456334444861630339123
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_404_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
6641755819863
/
16000000000000
)
≤
-
(
9328096888636753907783
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_404_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
6641755819863
/
16000000000000
)
≤
-
(
2411100417759986548877
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_404_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
6641755819863
/
16000000000000
)
≤
-
(
5060114932047977894949
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_404_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
6641755819863
/
16000000000000
)
≤
-
(
10818157684744796127839
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_404_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
6641755819863
/
16000000000000
)
≤
-
(
5917365200118181528387
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_404_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
6641755819863
/
16000000000000
)
≤
-
(
3337630368056965153349
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_404_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
6641755819863
/
16000000000000
)
≤
-
(
15859495990828664169851
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_404_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
6641755819863
/
16000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_404_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
6641755819863
/
16000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_404_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
6641755819863
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_404_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
6641755819863
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_404_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
6641755819863
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_404_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
6641755819863
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_404
:
Uρ
(
6641755819863
/
16000000000000
)
≤
-
(
3249841497956135963179
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_405_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
3362736485061
/
8000000000000
)
≤
-
(
2205397067664007022223
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_405_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
3362736485061
/
8000000000000
)
≤
-
(
4439856992194217320277
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_405_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
3362736485061
/
8000000000000
)
≤
-
(
2249291664094980362187
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_405_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
3362736485061
/
8000000000000
)
≤
-
(
143685914272745119657
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_405_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
3362736485061
/
8000000000000
)
≤
-
(
4753914742488689626759
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_405_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
3362736485061
/
8000000000000
)
≤
-
(
2494163466899750630607
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_405_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
3362736485061
/
8000000000000
)
≤
-
(
2665818446664646446537
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_405_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
3362736485061
/
8000000000000
)
≤
-
(
11660741129451976871839
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_405_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
3362736485061
/
8000000000000
)
≤
-
(
13140303395378854275257
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_405_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
3362736485061
/
8000000000000
)
≤
-
(
1555478437684198579321
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_405_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
3362736485061
/
8000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_405_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
3362736485061
/
8000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_405_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
3362736485061
/
8000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_405_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
3362736485061
/
8000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_405_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
3362736485061
/
8000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_405_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
3362736485061
/
8000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_405
:
Uρ
(
3362736485061
/
8000000000000
)
≤
-
(
12887117814147303746673
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_406_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
6809190120381
/
16000000000000
)
≤
-
(
8695960864778360946079
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_406_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
6809190120381
/
16000000000000
)
≤
-
(
4376676121341284168073
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_406_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
6809190120381
/
16000000000000
)
≤
-
(
2217325329992838613491
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_406_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
6809190120381
/
16000000000000
)
≤
-
(
9065427257069945571199
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_406_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
6809190120381
/
16000000000000
)
≤
-
(
4686551939544443826109
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_406_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
6809190120381
/
16000000000000
)
≤
-
(
9835128300274148067791
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_406_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
6809190120381
/
16000000000000
)
≤
-
(
5132228374587151913
/
4882812500000000000
)
source
theorem
Zeta5Irrational
.
U_406_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
6809190120381
/
16000000000000
)
≤
-
(
11489883318043325304749
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_406_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
6809190120381
/
16000000000000
)
≤
-
(
404218113034351628443
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_406_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
6809190120381
/
16000000000000
)
≤
-
(
7631299881357333164523
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_406_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
6809190120381
/
16000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_406_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
6809190120381
/
16000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_406_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
6809190120381
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_406_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
6809190120381
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_406_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
6809190120381
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_406_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
6809190120381
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_406
:
Uρ
(
6809190120381
/
16000000000000
)
≤
-
(
399293109801970771631
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_407_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
86161340883
/
200000000000
)
≤
-
(
342875686036299859671
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_407_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
86161340883
/
200000000000
)
≤
-
(
1725713503188980663307
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_407_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
86161340883
/
200000000000
)
≤
-
(
8743051013203827149901
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_407_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
86161340883
/
200000000000
)
≤
-
(
2234159628991301625199
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_407_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
86161340883
/
200000000000
)
≤
-
(
1848035083146948254919
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_407_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
86161340883
/
200000000000
)
≤
-
(
1939118985162720111611
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_407_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
86161340883
/
200000000000
)
≤
-
(
10360671859386552173789
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_407_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
86161340883
/
200000000000
)
≤
-
(
2264408210820016486429
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_407_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
86161340883
/
200000000000
)
≤
-
(
12734304324888259626497
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_407_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
86161340883
/
200000000000
)
≤
-
(
3745433928253882754121
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_407_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
86161340883
/
200000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_407_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
86161340883
/
200000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_407_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
86161340883
/
200000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_407_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
86161340883
/
200000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_407_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
86161340883
/
200000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_407_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
86161340883
/
200000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_407
:
Uρ
(
86161340883
/
200000000000
)
≤
-
(
791874724932342320321
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_408_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
54181913021
/
125000000000
)
≤
-
(
1701934117171983693411
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_408_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
54181913021
/
125000000000
)
≤
-
(
535374392089433119633
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_408_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
54181913021
/
125000000000
)
≤
-
(
867974593018045612053
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_408_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
54181913021
/
125000000000
)
≤
-
(
8872073375269568597809
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_408_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
54181913021
/
125000000000
)
≤
-
(
917355697984571850539
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_408_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
54181913021
/
125000000000
)
≤
-
(
1925140956285161018611
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_408_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
54181913021
/
125000000000
)
≤
-
(
10285543461370157781439
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_408_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
54181913021
/
125000000000
)
≤
-
(
112381938674848357789
/
100000000000000000000
)
source
theorem
Zeta5Irrational
.
U_408_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
54181913021
/
125000000000
)
≤
-
(
12634421825163466454341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_408_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
54181913021
/
125000000000
)
≤
-
(
7421773000218264526129
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_408_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
54181913021
/
125000000000
)
≤
-
(
10359853335001487342957
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_408_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
54181913021
/
125000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_408_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
54181913021
/
125000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_408_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
54181913021
/
125000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_408_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
54181913021
/
125000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_408_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
54181913021
/
125000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_408
:
Uρ
(
54181913021
/
125000000000
)
≤
-
(
12492873305617532369633
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_409_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
436103903921
/
1000000000000
)
≤
-
(
8447833787109033449899
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_409_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
436103903921
/
1000000000000
)
≤
-
(
531487639599329723427
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_409_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
436103903921
/
1000000000000
)
≤
-
(
4308419623487413080987
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_409_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
436103903921
/
1000000000000
)
≤
-
(
352316917537988224177
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_409_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
436103903921
/
1000000000000
)
≤
-
(
9107380873511893660103
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_409_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
436103903921
/
1000000000000
)
≤
-
(
9556303782198983042833
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_409_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
436103903921
/
1000000000000
)
≤
-
(
10210986681307664216749
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_409_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
436103903921
/
1000000000000
)
≤
-
(
11155077685116505444933
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_409_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
436103903921
/
1000000000000
)
≤
-
(
12535644509160010633761
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_409_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
436103903921
/
1000000000000
)
≤
-
(
14707874772608179319249
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_409_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
436103903921
/
1000000000000
)
≤
-
(
10036489124495165724449
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_409_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
436103903921
/
1000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_409_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
436103903921
/
1000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_409_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
436103903921
/
1000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_409_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
436103903921
/
1000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_409_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
436103903921
/
1000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_409
:
Uρ
(
436103903921
/
1000000000000
)
≤
-
(
6194447236115731929341
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_410_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
219376251837
/
500000000000
)
≤
-
(
2096594256290114153041
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_410_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
219376251837
/
500000000000
)
≤
-
(
1055249823054743877783
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_410_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
219376251837
/
500000000000
)
≤
-
(
4277162989177892952323
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_410_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
219376251837
/
500000000000
)
≤
-
(
4372090952870243498743
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_410_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
219376251837
/
500000000000
)
≤
-
(
904164124252520286273
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_410_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
219376251837
/
500000000000
)
≤
-
(
9487385073304664494243
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_410_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
219376251837
/
500000000000
)
≤
-
(
5068496359337917405659
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_410_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
219376251837
/
500000000000
)
≤
-
(
11072679310070797156689
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_410_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
219376251837
/
500000000000
)
≤
-
(
6218972905446657801553
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_410_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
219376251837
/
500000000000
)
≤
-
(
14574612834924164906609
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_410_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
219376251837
/
500000000000
)
≤
-
(
611820281831991679449
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_410_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
219376251837
/
500000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_410_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
219376251837
/
500000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_410_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
219376251837
/
500000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_410_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
219376251837
/
500000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_410_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
219376251837
/
500000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_410
:
Uρ
(
219376251837
/
500000000000
)
≤
-
(
12297444852051932068801
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_411_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
880153607101
/
2000000000000
)
≤
-
(
8355789703777010327123
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_411_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
880153607101
/
2000000000000
)
≤
-
(
1682247885388241367499
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_411_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
880153607101
/
2000000000000
)
≤
-
(
4261607671066074145483
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_411_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
880153607101
/
2000000000000
)
≤
-
(
2178115821864365629041
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_411_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
880153607101
/
2000000000000
)
≤
-
(
9008933307601673657931
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_411_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
880153607101
/
2000000000000
)
≤
-
(
4726552237572163998887
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_411_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
880153607101
/
2000000000000
)
≤
-
(
404008164002188548969
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_411_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
880153607101
/
2000000000000
)
≤
-
(
5515872638589955285107
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_411_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
880153607101
/
2000000000000
)
≤
-
(
12389492920326356581651
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_411_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
880153607101
/
2000000000000
)
≤
-
(
56675208404681107481
/
39062500000000000000
)
source
theorem
Zeta5Irrational
.
U_411_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
880153607101
/
2000000000000
)
≤
-
(
968136623931926557471
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_411_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
880153607101
/
2000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_411_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
880153607101
/
2000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_411_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
880153607101
/
2000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_411_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
880153607101
/
2000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_411_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
880153607101
/
2000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_411
:
Uρ
(
880153607101
/
2000000000000
)
≤
-
(
6127214758723858306379
/
5000000000000000000000
)