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.
Zeta5Irrational
.
Table
.
U25
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Imports
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LeanPool.Zeta5Irrational.Table.UpperCertificate
Imported by
Zeta5Irrational
.
U_304_1
Zeta5Irrational
.
U_304_2
Zeta5Irrational
.
U_304_3
Zeta5Irrational
.
U_304_4
Zeta5Irrational
.
U_304_5
Zeta5Irrational
.
U_304_6
Zeta5Irrational
.
U_304_7
Zeta5Irrational
.
U_304_8
Zeta5Irrational
.
U_304_9
Zeta5Irrational
.
U_304_10
Zeta5Irrational
.
U_304_11
Zeta5Irrational
.
U_304_12
Zeta5Irrational
.
U_304_13
Zeta5Irrational
.
U_304_14
Zeta5Irrational
.
U_304_15
Zeta5Irrational
.
U_304_16
Zeta5Irrational
.
U_304
Zeta5Irrational
.
U_305_1
Zeta5Irrational
.
U_305_2
Zeta5Irrational
.
U_305_3
Zeta5Irrational
.
U_305_4
Zeta5Irrational
.
U_305_5
Zeta5Irrational
.
U_305_6
Zeta5Irrational
.
U_305_7
Zeta5Irrational
.
U_305_8
Zeta5Irrational
.
U_305_9
Zeta5Irrational
.
U_305_10
Zeta5Irrational
.
U_305_11
Zeta5Irrational
.
U_305_12
Zeta5Irrational
.
U_305_13
Zeta5Irrational
.
U_305_14
Zeta5Irrational
.
U_305_15
Zeta5Irrational
.
U_305_16
Zeta5Irrational
.
U_305
Zeta5Irrational
.
U_306_1
Zeta5Irrational
.
U_306_2
Zeta5Irrational
.
U_306_3
Zeta5Irrational
.
U_306_4
Zeta5Irrational
.
U_306_5
Zeta5Irrational
.
U_306_6
Zeta5Irrational
.
U_306_7
Zeta5Irrational
.
U_306_8
Zeta5Irrational
.
U_306_9
Zeta5Irrational
.
U_306_10
Zeta5Irrational
.
U_306_11
Zeta5Irrational
.
U_306_12
Zeta5Irrational
.
U_306_13
Zeta5Irrational
.
U_306_14
Zeta5Irrational
.
U_306_15
Zeta5Irrational
.
U_306_16
Zeta5Irrational
.
U_306
Zeta5Irrational
.
U_307_1
Zeta5Irrational
.
U_307_2
Zeta5Irrational
.
U_307_3
Zeta5Irrational
.
U_307_4
Zeta5Irrational
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U_307_5
Zeta5Irrational
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U_307_6
Zeta5Irrational
.
U_307_7
Zeta5Irrational
.
U_307_8
Zeta5Irrational
.
U_307_9
Zeta5Irrational
.
U_307_10
Zeta5Irrational
.
U_307_11
Zeta5Irrational
.
U_307_12
Zeta5Irrational
.
U_307_13
Zeta5Irrational
.
U_307_14
Zeta5Irrational
.
U_307_15
Zeta5Irrational
.
U_307_16
Zeta5Irrational
.
U_307
Zeta5Irrational
.
U_308_1
Zeta5Irrational
.
U_308_2
Zeta5Irrational
.
U_308_3
Zeta5Irrational
.
U_308_4
Zeta5Irrational
.
U_308_5
Zeta5Irrational
.
U_308_6
Zeta5Irrational
.
U_308_7
Zeta5Irrational
.
U_308_8
Zeta5Irrational
.
U_308_9
Zeta5Irrational
.
U_308_10
Zeta5Irrational
.
U_308_11
Zeta5Irrational
.
U_308_12
Zeta5Irrational
.
U_308_13
Zeta5Irrational
.
U_308_14
Zeta5Irrational
.
U_308_15
Zeta5Irrational
.
U_308_16
Zeta5Irrational
.
U_308
Zeta5Irrational
.
U_309_1
Zeta5Irrational
.
U_309_2
Zeta5Irrational
.
U_309_3
Zeta5Irrational
.
U_309_4
Zeta5Irrational
.
U_309_5
Zeta5Irrational
.
U_309_6
Zeta5Irrational
.
U_309_7
Zeta5Irrational
.
U_309_8
Zeta5Irrational
.
U_309_9
Zeta5Irrational
.
U_309_10
Zeta5Irrational
.
U_309_11
Zeta5Irrational
.
U_309_12
Zeta5Irrational
.
U_309_13
Zeta5Irrational
.
U_309_14
Zeta5Irrational
.
U_309_15
Zeta5Irrational
.
U_309_16
Zeta5Irrational
.
U_309
Zeta5Irrational
.
U_310_1
Zeta5Irrational
.
U_310_2
Zeta5Irrational
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U_310_3
Zeta5Irrational
.
U_310_4
Zeta5Irrational
.
U_310_5
Zeta5Irrational
.
U_310_6
Zeta5Irrational
.
U_310_7
Zeta5Irrational
.
U_310_8
Zeta5Irrational
.
U_310_9
Zeta5Irrational
.
U_310_10
Zeta5Irrational
.
U_310_11
Zeta5Irrational
.
U_310_12
Zeta5Irrational
.
U_310_13
Zeta5Irrational
.
U_310_14
Zeta5Irrational
.
U_310_15
Zeta5Irrational
.
U_310_16
Zeta5Irrational
.
U_310
Zeta5Irrational
.
U_311_1
Zeta5Irrational
.
U_311_2
Zeta5Irrational
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U_311_3
Zeta5Irrational
.
U_311_4
Zeta5Irrational
.
U_311_5
Zeta5Irrational
.
U_311_6
Zeta5Irrational
.
U_311_7
Zeta5Irrational
.
U_311_8
Zeta5Irrational
.
U_311_9
Zeta5Irrational
.
U_311_10
Zeta5Irrational
.
U_311_11
Zeta5Irrational
.
U_311_12
Zeta5Irrational
.
U_311_13
Zeta5Irrational
.
U_311_14
Zeta5Irrational
.
U_311_15
Zeta5Irrational
.
U_311_16
Zeta5Irrational
.
U_311
Zeta5Irrational
.
U_312_1
Zeta5Irrational
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U_312_2
Zeta5Irrational
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U_312_3
Zeta5Irrational
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U_312_4
Zeta5Irrational
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U_312_5
Zeta5Irrational
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U_312_6
Zeta5Irrational
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U_312_7
Zeta5Irrational
.
U_312_8
Zeta5Irrational
.
U_312_9
Zeta5Irrational
.
U_312_10
Zeta5Irrational
.
U_312_11
Zeta5Irrational
.
U_312_12
Zeta5Irrational
.
U_312_13
Zeta5Irrational
.
U_312_14
Zeta5Irrational
.
U_312_15
Zeta5Irrational
.
U_312_16
Zeta5Irrational
.
U_312
Zeta5Irrational
.
U_313_1
Zeta5Irrational
.
U_313_2
Zeta5Irrational
.
U_313_3
Zeta5Irrational
.
U_313_4
Zeta5Irrational
.
U_313_5
Zeta5Irrational
.
U_313_6
Zeta5Irrational
.
U_313_7
Zeta5Irrational
.
U_313_8
Zeta5Irrational
.
U_313_9
Zeta5Irrational
.
U_313_10
Zeta5Irrational
.
U_313_11
Zeta5Irrational
.
U_313_12
Zeta5Irrational
.
U_313_13
Zeta5Irrational
.
U_313_14
Zeta5Irrational
.
U_313_15
Zeta5Irrational
.
U_313_16
Zeta5Irrational
.
U_313
Zeta5Irrational
.
U_314_1
Zeta5Irrational
.
U_314_2
Zeta5Irrational
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U_314_3
Zeta5Irrational
.
U_314_4
Zeta5Irrational
.
U_314_5
Zeta5Irrational
.
U_314_6
Zeta5Irrational
.
U_314_7
Zeta5Irrational
.
U_314_8
Zeta5Irrational
.
U_314_9
Zeta5Irrational
.
U_314_10
Zeta5Irrational
.
U_314_11
Zeta5Irrational
.
U_314_12
Zeta5Irrational
.
U_314_13
Zeta5Irrational
.
U_314_14
Zeta5Irrational
.
U_314_15
Zeta5Irrational
.
U_314_16
Zeta5Irrational
.
U_314
Zeta5Irrational
.
U_315_1
Zeta5Irrational
.
U_315_2
Zeta5Irrational
.
U_315_3
Zeta5Irrational
.
U_315_4
Zeta5Irrational
.
U_315_5
Zeta5Irrational
.
U_315_6
Zeta5Irrational
.
U_315_7
Zeta5Irrational
.
U_315_8
Zeta5Irrational
.
U_315_9
Zeta5Irrational
.
U_315_10
Zeta5Irrational
.
U_315_11
Zeta5Irrational
.
U_315_12
Zeta5Irrational
.
U_315_13
Zeta5Irrational
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U_315_14
Zeta5Irrational
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U_315_15
Zeta5Irrational
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U_315_16
Zeta5Irrational
.
U_315
Certified arcsine potential bounds (U25)
#
source
theorem
Zeta5Irrational
.
U_304_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
36419876534909
/
128000000000000
)
≤
-
(
319966329192450738377
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_304_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
36419876534909
/
128000000000000
)
≤
-
(
12885682785381020929319
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_304_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
36419876534909
/
128000000000000
)
≤
-
(
13062733067052531422153
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_304_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
36419876534909
/
128000000000000
)
≤
-
(
2673224740282882651271
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_304_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
36419876534909
/
128000000000000
)
≤
-
(
13852885671077141140659
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_304_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
36419876534909
/
128000000000000
)
≤
-
(
14612502027911626169787
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_304_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
36419876534909
/
128000000000000
)
≤
-
(
7901134692862773503333
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_304_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
36419876534909
/
128000000000000
)
≤
-
(
4445519034434660549931
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_304_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
36419876534909
/
128000000000000
)
≤
-
(
4456019168123497172333
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_304_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
36419876534909
/
128000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_304_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
36419876534909
/
128000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_304_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
36419876534909
/
128000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_304_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
36419876534909
/
128000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_304_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
36419876534909
/
128000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_304_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
36419876534909
/
128000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_304_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
36419876534909
/
128000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_304
:
Uρ
(
36419876534909
/
128000000000000
)
≤
-
(
3334862897898375222561
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_305_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
18248810046081
/
64000000000000
)
≤
-
(
12776834507854284359341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_305_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
18248810046081
/
64000000000000
)
≤
-
(
200994859613764106703
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_305_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
18248810046081
/
64000000000000
)
≤
-
(
13040320400032887200957
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_305_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
18248810046081
/
64000000000000
)
≤
-
(
13342997919963146336917
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_305_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
18248810046081
/
64000000000000
)
≤
-
(
3457135375880206226739
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_305_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
18248810046081
/
64000000000000
)
≤
-
(
7293024924857735976821
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_305_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
18248810046081
/
64000000000000
)
≤
-
(
31543787609354435141
/
20000000000000000000
)
source
theorem
Zeta5Irrational
.
U_305_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
18248810046081
/
64000000000000
)
≤
-
(
17742731513520089426687
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_305_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
18248810046081
/
64000000000000
)
≤
-
(
2218861948983381281
/
1000000000000000000
)
source
theorem
Zeta5Irrational
.
U_305_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
18248810046081
/
64000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_305_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
18248810046081
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_305_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
18248810046081
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_305_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
18248810046081
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_305_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
18248810046081
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_305_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
18248810046081
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_305_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
18248810046081
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_305
:
Uρ
(
18248810046081
/
64000000000000
)
≤
-
(
8326613935861223524661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_306_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
7315072729883
/
25600000000000
)
≤
-
(
6377531675875982707461
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_306_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
7315072729883
/
25600000000000
)
≤
-
(
802606725249877005899
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_306_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
7315072729883
/
25600000000000
)
≤
-
(
2603591580741016814553
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_306_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
7315072729883
/
25600000000000
)
≤
-
(
13319925657080517909239
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_306_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
7315072729883
/
25600000000000
)
≤
-
(
13804256957131762695407
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_306_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
7315072729883
/
25600000000000
)
≤
-
(
14559669056125745715263
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_306_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
7315072729883
/
25600000000000
)
≤
-
(
3148323192084140152897
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_306_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
7315072729883
/
25600000000000
)
≤
-
(
3540714116985614482459
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_306_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
7315072729883
/
25600000000000
)
≤
-
(
2209898160607914061911
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_306_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
7315072729883
/
25600000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_306_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
7315072729883
/
25600000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_306_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
7315072729883
/
25600000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_306_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
7315072729883
/
25600000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_306_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
7315072729883
/
25600000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_306_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
7315072729883
/
25600000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_306_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
7315072729883
/
25600000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_306
:
Uρ
(
7315072729883
/
25600000000000
)
≤
-
(
8316172534289768010333
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_307_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
9163276801667
/
32000000000000
)
≤
-
(
3183334873245216212523
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_307_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
9163276801667
/
32000000000000
)
≤
-
(
12819792339455511980223
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_307_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
9163276801667
/
32000000000000
)
≤
-
(
3248911338433372805021
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_307_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
9163276801667
/
32000000000000
)
≤
-
(
6648453332443258315593
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_307_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
9163276801667
/
32000000000000
)
≤
-
(
13780031738160772080827
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_307_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
9163276801667
/
32000000000000
)
≤
-
(
14533359254442350572721
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_307_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
9163276801667
/
32000000000000
)
≤
-
(
628457407618548892479
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_307_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
9163276801667
/
32000000000000
)
≤
-
(
17664591395044278791573
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_307_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
9163276801667
/
32000000000000
)
≤
-
(
1375692650065395914491
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_307_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
9163276801667
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_307_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
9163276801667
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_307_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
9163276801667
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_307_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
9163276801667
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_307_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
9163276801667
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_307_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
9163276801667
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_307_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
9163276801667
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_307
:
Uρ
(
9163276801667
/
32000000000000
)
≤
-
(
8305828477742148551567
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_308_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
36730850763921
/
128000000000000
)
≤
-
(
1588957840809154527443
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_308_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
36730850763921
/
128000000000000
)
≤
-
(
2559585002193774210817
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_308_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
36730850763921
/
128000000000000
)
≤
-
(
12973382527285262823649
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_308_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
36730850763921
/
128000000000000
)
≤
-
(
6636970348612193216359
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_308_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
36730850763921
/
128000000000000
)
≤
-
(
13755865555041763943411
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_308_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
36730850763921
/
128000000000000
)
≤
-
(
7253560027631494245037
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_308_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
36730850763921
/
128000000000000
)
≤
-
(
7840675419673181174101
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_308_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
36730850763921
/
128000000000000
)
≤
-
(
8812896010485875851931
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_308_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
36730850763921
/
128000000000000
)
≤
-
(
2740603860275247694661
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_308_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
36730850763921
/
128000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_308_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
36730850763921
/
128000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_308_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
36730850763921
/
128000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_308_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
36730850763921
/
128000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_308_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
36730850763921
/
128000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_308_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
36730850763921
/
128000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_308_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
36730850763921
/
128000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_308
:
Uρ
(
36730850763921
/
128000000000000
)
≤
-
(
16591155188789344255453
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_309_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
18404297160587
/
64000000000000
)
≤
-
(
396563526515380477321
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_309_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
18404297160587
/
64000000000000
)
≤
-
(
12776105409233890902293
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_309_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
18404297160587
/
64000000000000
)
≤
-
(
12951169203016937992483
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_309_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
18404297160587
/
64000000000000
)
≤
-
(
13251027509644650616501
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_309_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
18404297160587
/
64000000000000
)
≤
-
(
13731758118370003654299
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_309_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
18404297160587
/
64000000000000
)
≤
-
(
905059442027853315307
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_309_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
18404297160587
/
64000000000000
)
≤
-
(
2445525352896588967
/
1562500000000000000
)
source
theorem
Zeta5Irrational
.
U_309_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
18404297160587
/
64000000000000
)
≤
-
(
8793585286503424790819
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_309_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
18404297160587
/
64000000000000
)
≤
-
(
873605752059970258149
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_309_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
18404297160587
/
64000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_309_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
18404297160587
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_309_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
18404297160587
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_309_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
18404297160587
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_309_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
18404297160587
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_309_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
18404297160587
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_309_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
18404297160587
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_309
:
Uρ
(
18404297160587
/
64000000000000
)
≤
-
(
16570832112858170651139
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_310_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
36886337878427
/
128000000000000
)
≤
-
(
791778103538758106661
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_310_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
36886337878427
/
128000000000000
)
≤
-
(
797145832894660626739
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_310_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
36886337878427
/
128000000000000
)
≤
-
(
12929005161061176723777
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_310_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
36886337878427
/
128000000000000
)
≤
-
(
1322816685938930461697
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_310_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
36886337878427
/
128000000000000
)
≤
-
(
13707709140880624061209
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_310_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
36886337878427
/
128000000000000
)
≤
-
(
289097038461433344131
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_310_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
36886337878427
/
128000000000000
)
≤
-
(
3124293761267432852327
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_310_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
36886337878427
/
128000000000000
)
≤
-
(
877436259691853950059
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_310_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
36886337878427
/
128000000000000
)
≤
-
(
1087847238022731517901
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_310_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
36886337878427
/
128000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_310_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
36886337878427
/
128000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_310_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
36886337878427
/
128000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_310_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
36886337878427
/
128000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_310_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
36886337878427
/
128000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_310_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
36886337878427
/
128000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_310_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
36886337878427
/
128000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_310
:
Uρ
(
36886337878427
/
128000000000000
)
≤
-
(
4137670170238638207857
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_311_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
231025508973
/
800000000000
)
≤
-
(
632345647487376720253
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_311_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
231025508973
/
800000000000
)
≤
-
(
6366304277815616426409
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_311_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
231025508973
/
800000000000
)
≤
-
(
12906890183013655558881
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_311_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
231025508973
/
800000000000
)
≤
-
(
3301339626344053614233
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_311_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
231025508973
/
800000000000
)
≤
-
(
3420929584356858442139
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_311_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
231025508973
/
800000000000
)
≤
-
(
14428822227409249675339
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_311_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
231025508973
/
800000000000
)
≤
-
(
15591669847770762946373
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_311_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
231025508973
/
800000000000
)
≤
-
(
8755227028881924606817
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_311_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
231025508973
/
800000000000
)
≤
-
(
1083758172203001746681
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_311_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
231025508973
/
800000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_311_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
231025508973
/
800000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_311_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
231025508973
/
800000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_311_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
231025508973
/
800000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_311_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
231025508973
/
800000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_311_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
231025508973
/
800000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_311_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
231025508973
/
800000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_311
:
Uρ
(
231025508973
/
800000000000
)
≤
-
(
16530694387511013761449
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_312_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
37041824992933
/
128000000000000
)
≤
-
(
12625422528061556459799
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_312_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
37041824992933
/
128000000000000
)
≤
-
(
12710930891948740915369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_312_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
37041824992933
/
128000000000000
)
≤
-
(
12884824051920100839147
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_312_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
37041824992933
/
128000000000000
)
≤
-
(
1318260220818366757497
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_312_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
37041824992933
/
128000000000000
)
≤
-
(
13659785424961961456927
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_312_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
37041824992933
/
128000000000000
)
≤
-
(
14402861608877604147629
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_312_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
37041824992933
/
128000000000000
)
≤
-
(
7780982377249255875523
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_312_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
37041824992933
/
128000000000000
)
≤
-
(
17472355369949165105051
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_312_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
37041824992933
/
128000000000000
)
≤
-
(
10797367480776861680277
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_312_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
37041824992933
/
128000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_312_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
37041824992933
/
128000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_312_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
37041824992933
/
128000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_312_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
37041824992933
/
128000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_312_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
37041824992933
/
128000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_312_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
37041824992933
/
128000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_312_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
37041824992933
/
128000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_312
:
Uρ
(
37041824992933
/
128000000000000
)
≤
-
(
16510867209835616507937
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_313_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
18559784275093
/
64000000000000
)
≤
-
(
1575497274129372754583
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_313_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
18559784275093
/
64000000000000
)
≤
-
(
12689300131364860125261
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_313_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
18559784275093
/
64000000000000
)
≤
-
(
6431403276131736116647
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_313_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
18559784275093
/
64000000000000
)
≤
-
(
1644987216254391239947
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_313_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
18559784275093
/
64000000000000
)
≤
-
(
13635910122512783687653
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_313_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
18559784275093
/
64000000000000
)
≤
-
(
898560605875719717287
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_313_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
18559784275093
/
64000000000000
)
≤
-
(
155323529047166465161
/
100000000000000000000
)
source
theorem
Zeta5Irrational
.
U_313_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
18559784275093
/
64000000000000
)
≤
-
(
17434427365685407335693
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_313_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
18559784275093
/
64000000000000
)
≤
-
(
10757799638185708569451
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_313_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
18559784275093
/
64000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_313_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
18559784275093
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_313_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
18559784275093
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_313_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
18559784275093
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_313_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
18559784275093
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_313_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
18559784275093
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_313_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
18559784275093
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_313
:
Uρ
(
18559784275093
/
64000000000000
)
≤
-
(
659647742307838339129
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_314_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
37197312107439
/
128000000000000
)
≤
-
(
2516515949483040556447
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_314_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
37197312107439
/
128000000000000
)
≤
-
(
6333858035649365264693
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_314_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
37197312107439
/
128000000000000
)
≤
-
(
2568167493990255296731
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_314_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
37197312107439
/
128000000000000
)
≤
-
(
2627448966956830868993
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_314_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
37197312107439
/
128000000000000
)
≤
-
(
13612092151165089101821
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_314_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
37197312107439
/
128000000000000
)
≤
-
(
14351146112426458858217
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_314_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
37197312107439
/
128000000000000
)
≤
-
(
15502833683064404763959
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_314_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
37197312107439
/
128000000000000
)
≤
-
(
695866732387491057881
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_314_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
37197312107439
/
128000000000000
)
≤
-
(
21437700710955841835511
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_314_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
37197312107439
/
128000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_314_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
37197312107439
/
128000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_314_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
37197312107439
/
128000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_314_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
37197312107439
/
128000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_314_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
37197312107439
/
128000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_314_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
37197312107439
/
128000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_314_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
37197312107439
/
128000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_314
:
Uρ
(
37197312107439
/
128000000000000
)
≤
-
(
514739632172362430889
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_315_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
9318763916173
/
32000000000000
)
≤
-
(
1256122699521332861959
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_315_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
9318763916173
/
32000000000000
)
≤
-
(
790386156904967377561
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_315_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
9318763916173
/
32000000000000
)
≤
-
(
6409458296151520141253
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_315_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
9318763916173
/
32000000000000
)
≤
-
(
1311464328789948097699
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_315_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
9318763916173
/
32000000000000
)
≤
-
(
13588331234040514537341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_315_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
9318763916173
/
32000000000000
)
≤
-
(
7162695248392099559029
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_315_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
9318763916173
/
32000000000000
)
≤
-
(
15473406480532042506811
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_315_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
9318763916173
/
32000000000000
)
≤
-
(
8679538247702567513831
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_315_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
9318763916173
/
32000000000000
)
≤
-
(
21360987514744639833261
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_315_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
9318763916173
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_315_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
9318763916173
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_315_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
9318763916173
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_315_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
9318763916173
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_315_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
9318763916173
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_315_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
9318763916173
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_315_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
9318763916173
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_315
:
Uρ
(
9318763916173
/
32000000000000
)
≤
-
(
4113071593537865275113
/
2500000000000000000000
)