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.
Zeta5Irrational
.
Table
.
U49
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Imports
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LeanPool.Zeta5Irrational.Table.UpperCertificate
Imported by
Zeta5Irrational
.
U_592_1
Zeta5Irrational
.
U_592_2
Zeta5Irrational
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U_592_3
Zeta5Irrational
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U_592_4
Zeta5Irrational
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U_592_5
Zeta5Irrational
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U_592_6
Zeta5Irrational
.
U_592_7
Zeta5Irrational
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U_592_8
Zeta5Irrational
.
U_592_9
Zeta5Irrational
.
U_592_10
Zeta5Irrational
.
U_592_11
Zeta5Irrational
.
U_592_12
Zeta5Irrational
.
U_592_13
Zeta5Irrational
.
U_592_14
Zeta5Irrational
.
U_592_15
Zeta5Irrational
.
U_592_16
Zeta5Irrational
.
U_592
Zeta5Irrational
.
U_593_1
Zeta5Irrational
.
U_593_2
Zeta5Irrational
.
U_593_3
Zeta5Irrational
.
U_593_4
Zeta5Irrational
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U_593_5
Zeta5Irrational
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U_593_6
Zeta5Irrational
.
U_593_7
Zeta5Irrational
.
U_593_8
Zeta5Irrational
.
U_593_9
Zeta5Irrational
.
U_593_10
Zeta5Irrational
.
U_593_11
Zeta5Irrational
.
U_593_12
Zeta5Irrational
.
U_593_13
Zeta5Irrational
.
U_593_14
Zeta5Irrational
.
U_593_15
Zeta5Irrational
.
U_593_16
Zeta5Irrational
.
U_593
Zeta5Irrational
.
U_594_1
Zeta5Irrational
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U_594_2
Zeta5Irrational
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U_594_3
Zeta5Irrational
.
U_594_4
Zeta5Irrational
.
U_594_5
Zeta5Irrational
.
U_594_6
Zeta5Irrational
.
U_594_7
Zeta5Irrational
.
U_594_8
Zeta5Irrational
.
U_594_9
Zeta5Irrational
.
U_594_10
Zeta5Irrational
.
U_594_11
Zeta5Irrational
.
U_594_12
Zeta5Irrational
.
U_594_13
Zeta5Irrational
.
U_594_14
Zeta5Irrational
.
U_594_15
Zeta5Irrational
.
U_594_16
Zeta5Irrational
.
U_594
Zeta5Irrational
.
U_595_1
Zeta5Irrational
.
U_595_2
Zeta5Irrational
.
U_595_3
Zeta5Irrational
.
U_595_4
Zeta5Irrational
.
U_595_5
Zeta5Irrational
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U_595_6
Zeta5Irrational
.
U_595_7
Zeta5Irrational
.
U_595_8
Zeta5Irrational
.
U_595_9
Zeta5Irrational
.
U_595_10
Zeta5Irrational
.
U_595_11
Zeta5Irrational
.
U_595_12
Zeta5Irrational
.
U_595_13
Zeta5Irrational
.
U_595_14
Zeta5Irrational
.
U_595_15
Zeta5Irrational
.
U_595_16
Zeta5Irrational
.
U_595
Zeta5Irrational
.
U_596_1
Zeta5Irrational
.
U_596_2
Zeta5Irrational
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U_596_3
Zeta5Irrational
.
U_596_4
Zeta5Irrational
.
U_596_5
Zeta5Irrational
.
U_596_6
Zeta5Irrational
.
U_596_7
Zeta5Irrational
.
U_596_8
Zeta5Irrational
.
U_596_9
Zeta5Irrational
.
U_596_10
Zeta5Irrational
.
U_596_11
Zeta5Irrational
.
U_596_12
Zeta5Irrational
.
U_596_13
Zeta5Irrational
.
U_596_14
Zeta5Irrational
.
U_596_15
Zeta5Irrational
.
U_596_16
Zeta5Irrational
.
U_596
Zeta5Irrational
.
U_597_1
Zeta5Irrational
.
U_597_2
Zeta5Irrational
.
U_597_3
Zeta5Irrational
.
U_597_4
Zeta5Irrational
.
U_597_5
Zeta5Irrational
.
U_597_6
Zeta5Irrational
.
U_597_7
Zeta5Irrational
.
U_597_8
Zeta5Irrational
.
U_597_9
Zeta5Irrational
.
U_597_10
Zeta5Irrational
.
U_597_11
Zeta5Irrational
.
U_597_12
Zeta5Irrational
.
U_597_13
Zeta5Irrational
.
U_597_14
Zeta5Irrational
.
U_597_15
Zeta5Irrational
.
U_597_16
Zeta5Irrational
.
U_597
Zeta5Irrational
.
U_598_1
Zeta5Irrational
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U_598_2
Zeta5Irrational
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U_598_3
Zeta5Irrational
.
U_598_4
Zeta5Irrational
.
U_598_5
Zeta5Irrational
.
U_598_6
Zeta5Irrational
.
U_598_7
Zeta5Irrational
.
U_598_8
Zeta5Irrational
.
U_598_9
Zeta5Irrational
.
U_598_10
Zeta5Irrational
.
U_598_11
Zeta5Irrational
.
U_598_12
Zeta5Irrational
.
U_598_13
Zeta5Irrational
.
U_598_14
Zeta5Irrational
.
U_598_15
Zeta5Irrational
.
U_598_16
Zeta5Irrational
.
U_598
Zeta5Irrational
.
U_599_1
Zeta5Irrational
.
U_599_2
Zeta5Irrational
.
U_599_3
Zeta5Irrational
.
U_599_4
Zeta5Irrational
.
U_599_5
Zeta5Irrational
.
U_599_6
Zeta5Irrational
.
U_599_7
Zeta5Irrational
.
U_599_8
Zeta5Irrational
.
U_599_9
Zeta5Irrational
.
U_599_10
Zeta5Irrational
.
U_599_11
Zeta5Irrational
.
U_599_12
Zeta5Irrational
.
U_599_13
Zeta5Irrational
.
U_599_14
Zeta5Irrational
.
U_599_15
Zeta5Irrational
.
U_599_16
Zeta5Irrational
.
U_599
Zeta5Irrational
.
U_600_1
Zeta5Irrational
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U_600_2
Zeta5Irrational
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U_600_3
Zeta5Irrational
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U_600_4
Zeta5Irrational
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U_600_5
Zeta5Irrational
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U_600_6
Zeta5Irrational
.
U_600_7
Zeta5Irrational
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U_600_8
Zeta5Irrational
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U_600_9
Zeta5Irrational
.
U_600_10
Zeta5Irrational
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U_600_11
Zeta5Irrational
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U_600_12
Zeta5Irrational
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U_600_13
Zeta5Irrational
.
U_600_14
Zeta5Irrational
.
U_600_15
Zeta5Irrational
.
U_600_16
Zeta5Irrational
.
U_600
Zeta5Irrational
.
U_601_1
Zeta5Irrational
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U_601_2
Zeta5Irrational
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U_601_3
Zeta5Irrational
.
U_601_4
Zeta5Irrational
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U_601_5
Zeta5Irrational
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U_601_6
Zeta5Irrational
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U_601_7
Zeta5Irrational
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U_601_8
Zeta5Irrational
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U_601_9
Zeta5Irrational
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U_601_10
Zeta5Irrational
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U_601_11
Zeta5Irrational
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U_601_12
Zeta5Irrational
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U_601_13
Zeta5Irrational
.
U_601_14
Zeta5Irrational
.
U_601_15
Zeta5Irrational
.
U_601_16
Zeta5Irrational
.
U_601
Zeta5Irrational
.
U_602_1
Zeta5Irrational
.
U_602_2
Zeta5Irrational
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U_602_3
Zeta5Irrational
.
U_602_4
Zeta5Irrational
.
U_602_5
Zeta5Irrational
.
U_602_6
Zeta5Irrational
.
U_602_7
Zeta5Irrational
.
U_602_8
Zeta5Irrational
.
U_602_9
Zeta5Irrational
.
U_602_10
Zeta5Irrational
.
U_602_11
Zeta5Irrational
.
U_602_12
Zeta5Irrational
.
U_602_13
Zeta5Irrational
.
U_602_14
Zeta5Irrational
.
U_602_15
Zeta5Irrational
.
U_602_16
Zeta5Irrational
.
U_602
Zeta5Irrational
.
U_603_1
Zeta5Irrational
.
U_603_2
Zeta5Irrational
.
U_603_3
Zeta5Irrational
.
U_603_4
Zeta5Irrational
.
U_603_5
Zeta5Irrational
.
U_603_6
Zeta5Irrational
.
U_603_7
Zeta5Irrational
.
U_603_8
Zeta5Irrational
.
U_603_9
Zeta5Irrational
.
U_603_10
Zeta5Irrational
.
U_603_11
Zeta5Irrational
.
U_603_12
Zeta5Irrational
.
U_603_13
Zeta5Irrational
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U_603_14
Zeta5Irrational
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U_603_15
Zeta5Irrational
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U_603_16
Zeta5Irrational
.
U_603
Certified arcsine potential bounds (U49)
#
source
theorem
Zeta5Irrational
.
U_592_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
8782653354179
/
12800000000000
)
≤
-
(
3861145048423655657401
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_592_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
8782653354179
/
12800000000000
)
≤
-
(
243523295113786450747
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_592_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
8782653354179
/
12800000000000
)
≤
-
(
991795346368845415999
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_592_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
8782653354179
/
12800000000000
)
≤
-
(
51072963081599011411
/
125000000000000000000
)
source
theorem
Zeta5Irrational
.
U_592_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
8782653354179
/
12800000000000
)
≤
-
(
4269103245193693824213
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_592_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
8782653354179
/
12800000000000
)
≤
-
(
4537521459674536368377
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_592_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
8782653354179
/
12800000000000
)
≤
-
(
614350511180361655339
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_592_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
8782653354179
/
12800000000000
)
≤
-
(
1356885589740886941109
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_592_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
8782653354179
/
12800000000000
)
≤
-
(
6105539499798913087489
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_592_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
8782653354179
/
12800000000000
)
≤
-
(
43646592711571477181
/
62500000000000000000
)
source
theorem
Zeta5Irrational
.
U_592_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
8782653354179
/
12800000000000
)
≤
-
(
253299539840680361623
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_592_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
8782653354179
/
12800000000000
)
≤
-
(
9539803762064064091603
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_592_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
8782653354179
/
12800000000000
)
≤
-
(
11428424110941748224189
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_592_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
8782653354179
/
12800000000000
)
≤
-
(
7171437141596351498281
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_592_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
8782653354179
/
12800000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_592_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
8782653354179
/
12800000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_592
:
Uρ
(
8782653354179
/
12800000000000
)
≤
-
(
6493372085490171878343
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_593_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
10991296491131
/
16000000000000
)
≤
-
(
76984335362129264989
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_593_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
10991296491131
/
16000000000000
)
≤
-
(
9711005343742677657
/
25000000000000000000
)
source
theorem
Zeta5Irrational
.
U_593_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
10991296491131
/
16000000000000
)
≤
-
(
31641000668466948117
/
80000000000000000000
)
source
theorem
Zeta5Irrational
.
U_593_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
10991296491131
/
16000000000000
)
≤
-
(
4073635020287535188957
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_593_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
10991296491131
/
16000000000000
)
≤
-
(
4256670869576362918179
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_593_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
10991296491131
/
16000000000000
)
≤
-
(
452473964593663599121
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_593_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
10991296491131
/
16000000000000
)
≤
-
(
4901505303743168612503
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_593_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
10991296491131
/
16000000000000
)
≤
-
(
2706744031536615135693
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_593_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
10991296491131
/
16000000000000
)
≤
-
(
1522594958593701806993
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_593_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
10991296491131
/
16000000000000
)
≤
-
(
6966649033551154060933
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_593_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
10991296491131
/
16000000000000
)
≤
-
(
8086223519225050504341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_593_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
10991296491131
/
16000000000000
)
≤
-
(
1903224998521094270931
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_593_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
10991296491131
/
16000000000000
)
≤
-
(
1424498049762649303159
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_593_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
10991296491131
/
16000000000000
)
≤
-
(
713865897465215119503
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_593_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
10991296491131
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_593_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
10991296491131
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_593
:
Uρ
(
10991296491131
/
16000000000000
)
≤
-
(
6476639339068879338977
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_594_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
44017105158153
/
64000000000000
)
≤
-
(
3837302699325395042261
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_594_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
44017105158153
/
64000000000000
)
≤
-
(
3872445866191089838999
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_594_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
44017105158153
/
64000000000000
)
≤
-
(
1971541650973881459497
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_594_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
44017105158153
/
64000000000000
)
≤
-
(
2030723935954041162807
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_594_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
44017105158153
/
64000000000000
)
≤
-
(
4244253950414137293169
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_594_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
44017105158153
/
64000000000000
)
≤
-
(
4511974198329091467151
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_594_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
44017105158153
/
64000000000000
)
≤
-
(
2444112151337690036797
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_594_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
44017105158153
/
64000000000000
)
≤
-
(
43195630299015583237
/
80000000000000000000
)
source
theorem
Zeta5Irrational
.
U_594_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
44017105158153
/
64000000000000
)
≤
-
(
1215048765630322143733
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_594_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
44017105158153
/
64000000000000
)
≤
-
(
1389974637746149243031
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_594_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
44017105158153
/
64000000000000
)
≤
-
(
8066903811869647594891
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_594_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
44017105158153
/
64000000000000
)
≤
-
(
4746258070544322986259
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_594_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
44017105158153
/
64000000000000
)
≤
-
(
2272741445869784425119
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_594_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
44017105158153
/
64000000000000
)
≤
-
(
14212960197935088470847
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_594_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
44017105158153
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_594_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
44017105158153
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_594
:
Uρ
(
44017105158153
/
64000000000000
)
≤
-
(
3229994991353601011403
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_595_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
22034512175891
/
32000000000000
)
≤
-
(
3825402808256825816339
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_595_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
22034512175891
/
32000000000000
)
≤
-
(
965125968428573373733
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_595_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
22034512175891
/
32000000000000
)
≤
-
(
786211201140834157933
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_595_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
22034512175891
/
32000000000000
)
≤
-
(
2024637782567805178767
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_595_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
22034512175891
/
32000000000000
)
≤
-
(
528981556159355254323
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_595_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
22034512175891
/
32000000000000
)
≤
-
(
4499225074868244073119
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_595_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
22034512175891
/
32000000000000
)
≤
-
(
97499220768220577801
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_595_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
22034512175891
/
32000000000000
)
≤
-
(
5385439474086395814851
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_595_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
22034512175891
/
32000000000000
)
≤
-
(
94689553206502731041
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_595_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
22034512175891
/
32000000000000
)
≤
-
(
3466563593368778755967
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_595_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
22034512175891
/
32000000000000
)
≤
-
(
502976621982016817177
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_595_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
22034512175891
/
32000000000000
)
≤
-
(
9468976722227678351319
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_595_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
22034512175891
/
32000000000000
)
≤
-
(
708224407302227743551
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_595_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
22034512175891
/
32000000000000
)
≤
-
(
1768717515541818394809
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_595_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
22034512175891
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_595_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
22034512175891
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_595
:
Uρ
(
22034512175891
/
32000000000000
)
≤
-
(
3221710550820856703479
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_596_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
44120943545411
/
64000000000000
)
≤
-
(
3813517061197737683561
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_596_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
44120943545411
/
64000000000000
)
≤
-
(
962144031500172235307
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_596_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
44120943545411
/
64000000000000
)
≤
-
(
1959521580007089325513
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_596_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
44120943545411
/
64000000000000
)
≤
-
(
2018559031924290803153
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_596_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
44120943545411
/
64000000000000
)
≤
-
(
105486658196741034191
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_596_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
44120943545411
/
64000000000000
)
≤
-
(
4486492233732258104221
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_596_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
44120943545411
/
64000000000000
)
≤
-
(
4861715463315582096821
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_596_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
44120943545411
/
64000000000000
)
≤
-
(
42971560525332844949
/
80000000000000000000
)
source
theorem
Zeta5Irrational
.
U_596_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
44120943545411
/
64000000000000
)
≤
-
(
1209008498005994149171
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_596_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
44120943545411
/
64000000000000
)
≤
-
(
3458205459091484569321
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_596_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
44120943545411
/
64000000000000
)
≤
-
(
8028389739178359166687
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_596_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
44120943545411
/
64000000000000
)
≤
-
(
295172070509336324951
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_596_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
44120943545411
/
64000000000000
)
≤
-
(
2259926443505063997727
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_596_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
44120943545411
/
64000000000000
)
≤
-
(
7043800923483328933247
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_596_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
44120943545411
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_596_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
44120943545411
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_596
:
Uρ
(
44120943545411
/
64000000000000
)
≤
-
(
1606732501947162911213
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_597_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
276080392119
/
400000000000
)
≤
-
(
475205678070643602751
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_597_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
276080392119
/
400000000000
)
≤
-
(
959165647276513419161
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_597_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
276080392119
/
400000000000
)
≤
-
(
195352236509487228353
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_597_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
276080392119
/
400000000000
)
≤
-
(
4024975332057229824131
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_597_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
276080392119
/
400000000000
)
≤
-
(
4207095548052328053339
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_597_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
276080392119
/
400000000000
)
≤
-
(
4473775633260287782671
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_597_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
276080392119
/
400000000000
)
≤
-
(
4848487529947418754959
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_597_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
276080392119
/
400000000000
)
≤
-
(
214298820193377640081
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_597_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
276080392119
/
400000000000
)
≤
-
(
6029977007426569530737
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_597_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
276080392119
/
400000000000
)
≤
-
(
107808191664674528683
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_597_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
276080392119
/
400000000000
)
≤
-
(
2002298744056355109751
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_597_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
276080392119
/
400000000000
)
≤
-
(
4711052134525300289301
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_597_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
276080392119
/
400000000000
)
≤
-
(
1408478791481375428463
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_597_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
276080392119
/
400000000000
)
≤
-
(
7013246972571734108403
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_597_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
276080392119
/
400000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_597_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
276080392119
/
400000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_597
:
Uρ
(
276080392119
/
400000000000
)
≤
-
(
6410514213786317389521
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_598_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
44224781932669
/
64000000000000
)
≤
-
(
3789787864895543404819
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_598_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
44224781932669
/
64000000000000
)
≤
-
(
3824763229207356151267
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_598_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
44224781932669
/
64000000000000
)
≤
-
(
3895060681667598397467
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_598_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
44224781932669
/
64000000000000
)
≤
-
(
250802958368932343957
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_598_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
44224781932669
/
64000000000000
)
≤
-
(
2097370035909306309519
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_598_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
44224781932669
/
64000000000000
)
≤
-
(
4461075231951651050771
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_598_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
44224781932669
/
64000000000000
)
≤
-
(
967055438211356976147
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_598_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
44224781932669
/
64000000000000
)
≤
-
(
534351573455711606301
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_598_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
44224781932669
/
64000000000000
)
≤
-
(
187966715081535804873
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_598_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
44224781932669
/
64000000000000
)
≤
-
(
1720766780932629166881
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_598_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
44224781932669
/
64000000000000
)
≤
-
(
7990041466326574167593
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_598_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
44224781932669
/
64000000000000
)
≤
-
(
469938514580832882803
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_598_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
44224781932669
/
64000000000000
)
≤
-
(
11236182902422223580447
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_598_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
44224781932669
/
64000000000000
)
≤
-
(
2793273795028130683401
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_598_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
44224781932669
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_598_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
44224781932669
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_598
:
Uρ
(
44224781932669
/
64000000000000
)
≤
-
(
39963571329679689973
/
62500000000000000000
)
source
theorem
Zeta5Irrational
.
U_599_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
22138350563149
/
32000000000000
)
≤
-
(
944486087211076226443
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_599_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
22138350563149
/
32000000000000
)
≤
-
(
381287801260218030659
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_599_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
22138350563149
/
32000000000000
)
≤
-
(
1941545490004321403837
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_599_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
22138350563149
/
32000000000000
)
≤
-
(
4000734033657501560457
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_599_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
22138350563149
/
32000000000000
)
≤
-
(
418239986130542002681
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_599_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
22138350563149
/
32000000000000
)
≤
-
(
4448390988465003952377
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_599_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
22138350563149
/
32000000000000
)
≤
-
(
602760549948094116003
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_599_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
22138350563149
/
32000000000000
)
≤
-
(
1065916139610143317519
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_599_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
22138350563149
/
32000000000000
)
≤
-
(
5999916041147995132601
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_599_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
22138350563149
/
32000000000000
)
≤
-
(
6866439379730423357791
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_599_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
22138350563149
/
32000000000000
)
≤
-
(
7970929014454339731257
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_599_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
22138350563149
/
32000000000000
)
≤
-
(
1875100772085846270361
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_599_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
22138350563149
/
32000000000000
)
≤
-
(
2240937602556298459121
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_599_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
22138350563149
/
32000000000000
)
≤
-
(
13907183051807184338793
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_599_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
22138350563149
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_599_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
22138350563149
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_599
:
Uρ
(
22138350563149
/
32000000000000
)
≤
-
(
6377899458709971549779
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_600_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
44328620319927
/
64000000000000
)
≤
-
(
3766114843185157129627
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_600_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
44328620319927
/
64000000000000
)
≤
-
(
19005034528540760341
/
50000000000000000000
)
source
theorem
Zeta5Irrational
.
U_600_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
44328620319927
/
64000000000000
)
≤
-
(
38711355908973622577
/
100000000000000000000
)
source
theorem
Zeta5Irrational
.
U_600_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
44328620319927
/
64000000000000
)
≤
-
(
3988635395722701368637
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_600_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
44328620319927
/
64000000000000
)
≤
-
(
834014975758038440671
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_600_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
44328620319927
/
64000000000000
)
≤
-
(
887144572323505302381
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_600_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
44328620319927
/
64000000000000
)
≤
-
(
4808909108662188216689
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_600_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
44328620319927
/
64000000000000
)
≤
-
(
5315665338778738707151
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_600_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
44328620319927
/
64000000000000
)
≤
-
(
598492040897808695309
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_600_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
44328620319927
/
64000000000000
)
≤
-
(
6849840925155560255049
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_600_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
44328620319927
/
64000000000000
)
≤
-
(
3975928713532320038747
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_600_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
44328620319927
/
64000000000000
)
≤
-
(
9352304517135290160901
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_600_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
44328620319927
/
64000000000000
)
≤
-
(
5586671893103846167657
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_600_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
44328620319927
/
64000000000000
)
≤
-
(
2769779097549425911313
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_600_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
44328620319927
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_600_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
44328620319927
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_600
:
Uρ
(
44328620319927
/
64000000000000
)
≤
-
(
3180848175369736682521
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_601_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
11095134878389
/
16000000000000
)
≤
-
(
938574828702399587789
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_601_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
11095134878389
/
16000000000000
)
≤
-
(
757829975012473701853
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_601_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
11095134878389
/
16000000000000
)
≤
-
(
964798620035307040553
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_601_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
11095134878389
/
16000000000000
)
≤
-
(
994137846157366722441
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_601_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
11095134878389
/
16000000000000
)
≤
-
(
4157765086690188808493
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_601_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
11095134878389
/
16000000000000
)
≤
-
(
2211535405192055338863
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_601_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
11095134878389
/
16000000000000
)
≤
-
(
959150254321744450281
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_601_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
11095134878389
/
16000000000000
)
≤
-
(
265088480022531474809
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_601_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
11095134878389
/
16000000000000
)
≤
-
(
5969947912396625863489
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_601_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
11095134878389
/
16000000000000
)
≤
-
(
3416635825630334296627
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_601_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
11095134878389
/
16000000000000
)
≤
-
(
7932826512081039083167
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_601_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
11095134878389
/
16000000000000
)
≤
-
(
9329171808514020960711
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_601_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
11095134878389
/
16000000000000
)
≤
-
(
11142148384564178563437
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_601_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
11095134878389
/
16000000000000
)
≤
-
(
551658738635868358737
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_601_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
11095134878389
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_601_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
11095134878389
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_601
:
Uρ
(
11095134878389
/
16000000000000
)
≤
-
(
6345560218321767044647
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_602_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
8886491741437
/
12800000000000
)
≤
-
(
233906108170397038313
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_602_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
8886491741437
/
12800000000000
)
≤
-
(
944326721830208510903
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_602_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
8886491741437
/
12800000000000
)
≤
-
(
384726761367011421543
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_602_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
8886491741437
/
12800000000000
)
≤
-
(
792896393007470868719
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_602_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
8886491741437
/
12800000000000
)
≤
-
(
165818817902471995431
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_602_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
8886491741437
/
12800000000000
)
≤
-
(
88208695877931068533
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_602_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
8886491741437
/
12800000000000
)
≤
-
(
478261084193173771567
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_602_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
8886491741437
/
12800000000000
)
≤
-
(
5287893427020350660491
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_602_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
8886491741437
/
12800000000000
)
≤
-
(
5954998478060639171699
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_602_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
8886491741437
/
12800000000000
)
≤
-
(
6816731449933417676493
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_602_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
8886491741437
/
12800000000000
)
≤
-
(
3956918039439585658247
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_602_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
8886491741437
/
12800000000000
)
≤
-
(
9306105286396064384171
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_602_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
8886491741437
/
12800000000000
)
≤
-
(
5555550003594789216321
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_602_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
8886491741437
/
12800000000000
)
≤
-
(
6867433388723770022023
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_602_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
8886491741437
/
12800000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_602_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
8886491741437
/
12800000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_602
:
Uρ
(
8886491741437
/
12800000000000
)
≤
-
(
6329489309641351499701
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_603_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
22242188950407
/
32000000000000
)
≤
-
(
3730710058060810453223
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_603_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
22242188950407
/
32000000000000
)
≤
-
(
3765477909257897765203
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_603_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
22242188950407
/
32000000000000
)
≤
-
(
1917677478767856130919
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_603_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
22242188950407
/
32000000000000
)
≤
-
(
4940533877167384837
/
12500000000000000000
)
source
theorem
Zeta5Irrational
.
U_603_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
22242188950407
/
32000000000000
)
≤
-
(
413319092409985669183
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_603_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
22242188950407
/
32000000000000
)
≤
-
(
87956295428855053233
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_603_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
22242188950407
/
32000000000000
)
≤
-
(
4769487773325352152819
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_603_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
22242188950407
/
32000000000000
)
≤
-
(
5274036762684941512903
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_603_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
22242188950407
/
32000000000000
)
≤
-
(
5940072032984582198809
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_603_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
22242188950407
/
32000000000000
)
≤
-
(
6800220213689320315221
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_603_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
22242188950407
/
32000000000000
)
≤
-
(
3947442969135704496559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_603_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
22242188950407
/
32000000000000
)
≤
-
(
9283104507584379732129
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_603_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
22242188950407
/
32000000000000
)
≤
-
(
11080196889829367210413
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_603_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
22242188950407
/
32000000000000
)
≤
-
(
341976439182884107769
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_603_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
22242188950407
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_603_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
22242188950407
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_603
:
Uρ
(
22242188950407
/
32000000000000
)
≤
-
(
1578370495051350464269
/
2500000000000000000000
)