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.
Zeta5Irrational
.
Table
.
U18
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LeanPool.Zeta5Irrational.Table.UpperCertificate
Imported by
Zeta5Irrational
.
U_220_1
Zeta5Irrational
.
U_220_2
Zeta5Irrational
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U_220_3
Zeta5Irrational
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U_220_4
Zeta5Irrational
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U_220_5
Zeta5Irrational
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U_220_6
Zeta5Irrational
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U_220_7
Zeta5Irrational
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U_220_8
Zeta5Irrational
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U_220_9
Zeta5Irrational
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U_220_10
Zeta5Irrational
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U_220_11
Zeta5Irrational
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U_220_12
Zeta5Irrational
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U_220_13
Zeta5Irrational
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U_220_14
Zeta5Irrational
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U_220_15
Zeta5Irrational
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U_220_16
Zeta5Irrational
.
U_220
Zeta5Irrational
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U_221_1
Zeta5Irrational
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U_221_2
Zeta5Irrational
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U_221_3
Zeta5Irrational
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U_221_4
Zeta5Irrational
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U_221_5
Zeta5Irrational
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U_221_6
Zeta5Irrational
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U_221_7
Zeta5Irrational
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U_221_8
Zeta5Irrational
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U_221_9
Zeta5Irrational
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U_221_10
Zeta5Irrational
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U_221_11
Zeta5Irrational
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U_221_12
Zeta5Irrational
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U_221_13
Zeta5Irrational
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U_221_14
Zeta5Irrational
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U_221_15
Zeta5Irrational
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U_221_16
Zeta5Irrational
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U_221
Zeta5Irrational
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U_222_1
Zeta5Irrational
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U_222_2
Zeta5Irrational
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U_222_3
Zeta5Irrational
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U_222_4
Zeta5Irrational
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U_222_5
Zeta5Irrational
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U_222_6
Zeta5Irrational
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U_222_7
Zeta5Irrational
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U_222_8
Zeta5Irrational
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U_222_9
Zeta5Irrational
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U_222_10
Zeta5Irrational
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U_222_11
Zeta5Irrational
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U_222_12
Zeta5Irrational
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U_222_13
Zeta5Irrational
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U_222_14
Zeta5Irrational
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U_222_15
Zeta5Irrational
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U_222_16
Zeta5Irrational
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U_222
Zeta5Irrational
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U_223_1
Zeta5Irrational
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U_223_2
Zeta5Irrational
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U_223_3
Zeta5Irrational
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U_223_4
Zeta5Irrational
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U_223_5
Zeta5Irrational
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U_223_6
Zeta5Irrational
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U_223_7
Zeta5Irrational
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U_223_8
Zeta5Irrational
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U_223_9
Zeta5Irrational
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U_223_10
Zeta5Irrational
.
U_223_11
Zeta5Irrational
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U_223_12
Zeta5Irrational
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U_223_13
Zeta5Irrational
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U_223_14
Zeta5Irrational
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U_223_15
Zeta5Irrational
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U_223_16
Zeta5Irrational
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U_223
Zeta5Irrational
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U_224_1
Zeta5Irrational
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U_224_2
Zeta5Irrational
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U_224_3
Zeta5Irrational
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U_224_4
Zeta5Irrational
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U_224_5
Zeta5Irrational
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U_224_6
Zeta5Irrational
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U_224_7
Zeta5Irrational
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U_224_8
Zeta5Irrational
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U_224_9
Zeta5Irrational
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U_224_10
Zeta5Irrational
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U_224_11
Zeta5Irrational
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U_224_12
Zeta5Irrational
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U_224_13
Zeta5Irrational
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U_224_14
Zeta5Irrational
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U_224_15
Zeta5Irrational
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U_224_16
Zeta5Irrational
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U_224
Zeta5Irrational
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U_225_1
Zeta5Irrational
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U_225_2
Zeta5Irrational
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U_225_3
Zeta5Irrational
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U_225_4
Zeta5Irrational
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U_225_5
Zeta5Irrational
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U_225_6
Zeta5Irrational
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U_225_7
Zeta5Irrational
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U_225_8
Zeta5Irrational
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U_225_9
Zeta5Irrational
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U_225_10
Zeta5Irrational
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U_225_11
Zeta5Irrational
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U_225_12
Zeta5Irrational
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U_225_13
Zeta5Irrational
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U_225_14
Zeta5Irrational
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U_225_15
Zeta5Irrational
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U_225_16
Zeta5Irrational
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U_225
Zeta5Irrational
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U_226_1
Zeta5Irrational
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U_226_2
Zeta5Irrational
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U_226_3
Zeta5Irrational
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U_226_4
Zeta5Irrational
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U_226_5
Zeta5Irrational
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U_226_6
Zeta5Irrational
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U_226_7
Zeta5Irrational
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U_226_8
Zeta5Irrational
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U_226_9
Zeta5Irrational
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U_226_10
Zeta5Irrational
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U_226_11
Zeta5Irrational
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U_226_12
Zeta5Irrational
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U_226_13
Zeta5Irrational
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U_226_14
Zeta5Irrational
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U_226_15
Zeta5Irrational
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U_226_16
Zeta5Irrational
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U_226
Zeta5Irrational
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U_227_1
Zeta5Irrational
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U_227_2
Zeta5Irrational
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U_227_3
Zeta5Irrational
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U_227_4
Zeta5Irrational
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U_227_5
Zeta5Irrational
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U_227_6
Zeta5Irrational
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U_227_7
Zeta5Irrational
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U_227_8
Zeta5Irrational
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U_227_9
Zeta5Irrational
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U_227_10
Zeta5Irrational
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U_227_11
Zeta5Irrational
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U_227_12
Zeta5Irrational
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U_227_13
Zeta5Irrational
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U_227_14
Zeta5Irrational
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U_227_15
Zeta5Irrational
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U_227_16
Zeta5Irrational
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U_227
Zeta5Irrational
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U_228_1
Zeta5Irrational
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U_228_2
Zeta5Irrational
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U_228_3
Zeta5Irrational
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U_228_4
Zeta5Irrational
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U_228_5
Zeta5Irrational
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U_228_6
Zeta5Irrational
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U_228_7
Zeta5Irrational
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U_228_8
Zeta5Irrational
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U_228_9
Zeta5Irrational
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U_228_10
Zeta5Irrational
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U_228_11
Zeta5Irrational
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U_228_12
Zeta5Irrational
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U_228_13
Zeta5Irrational
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U_228_14
Zeta5Irrational
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U_228_15
Zeta5Irrational
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U_228_16
Zeta5Irrational
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U_228
Zeta5Irrational
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U_229_1
Zeta5Irrational
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U_229_2
Zeta5Irrational
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U_229_3
Zeta5Irrational
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U_229_4
Zeta5Irrational
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U_229_5
Zeta5Irrational
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U_229_6
Zeta5Irrational
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U_229_7
Zeta5Irrational
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U_229_8
Zeta5Irrational
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U_229_9
Zeta5Irrational
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U_229_10
Zeta5Irrational
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U_229_11
Zeta5Irrational
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U_229_12
Zeta5Irrational
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U_229_13
Zeta5Irrational
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U_229_14
Zeta5Irrational
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U_229_15
Zeta5Irrational
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U_229_16
Zeta5Irrational
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U_229
Zeta5Irrational
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U_230_1
Zeta5Irrational
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U_230_2
Zeta5Irrational
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U_230_3
Zeta5Irrational
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U_230_4
Zeta5Irrational
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U_230_5
Zeta5Irrational
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U_230_6
Zeta5Irrational
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U_230_7
Zeta5Irrational
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U_230_8
Zeta5Irrational
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U_230_9
Zeta5Irrational
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U_230_10
Zeta5Irrational
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U_230_11
Zeta5Irrational
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U_230_12
Zeta5Irrational
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U_230_13
Zeta5Irrational
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U_230_14
Zeta5Irrational
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U_230_15
Zeta5Irrational
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U_230_16
Zeta5Irrational
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U_230
Zeta5Irrational
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U_231_1
Zeta5Irrational
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U_231_2
Zeta5Irrational
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U_231_3
Zeta5Irrational
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U_231_4
Zeta5Irrational
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U_231_5
Zeta5Irrational
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U_231_6
Zeta5Irrational
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U_231_7
Zeta5Irrational
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U_231_8
Zeta5Irrational
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U_231_9
Zeta5Irrational
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U_231_10
Zeta5Irrational
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U_231_11
Zeta5Irrational
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U_231_12
Zeta5Irrational
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U_231_13
Zeta5Irrational
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U_231_14
Zeta5Irrational
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U_231_15
Zeta5Irrational
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U_231_16
Zeta5Irrational
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U_231
Certified arcsine potential bounds (U18)
#
source
theorem
Zeta5Irrational
.
U_220_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
5243003666637
/
32000000000000
)
≤
-
(
18490674215971361238241
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_220_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
5243003666637
/
32000000000000
)
≤
-
(
2330825898986484937893
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_220_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
5243003666637
/
32000000000000
)
≤
-
(
9484564051395421285797
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_220_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
5243003666637
/
32000000000000
)
≤
-
(
9770011278685046203197
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_220_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
5243003666637
/
32000000000000
)
≤
-
(
20513758757421810226879
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_220_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
5243003666637
/
32000000000000
)
≤
-
(
22234413891121944816083
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_220_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
5243003666637
/
32000000000000
)
≤
-
(
26034182944698725387439
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_220_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
5243003666637
/
32000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_220_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
5243003666637
/
32000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_220_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
5243003666637
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_220_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
5243003666637
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_220_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
5243003666637
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_220_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
5243003666637
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_220_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
5243003666637
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_220_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
5243003666637
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_220_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
5243003666637
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_220
:
Uρ
(
5243003666637
/
32000000000000
)
≤
-
(
10467026257924661355203
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_221_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
21028794701819
/
128000000000000
)
≤
-
(
4615631637779595417191
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_221_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
21028794701819
/
128000000000000
)
≤
-
(
465450176953729785337
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_221_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
21028794701819
/
128000000000000
)
≤
-
(
591861141768881967909
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_221_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
21028794701819
/
128000000000000
)
≤
-
(
9754301871052985929913
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_221_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
21028794701819
/
128000000000000
)
≤
-
(
10239375834821808422919
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_221_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
21028794701819
/
128000000000000
)
≤
-
(
887650724271362820473
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_221_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
21028794701819
/
128000000000000
)
≤
-
(
12978083121240946271847
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_221_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
21028794701819
/
128000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_221_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
21028794701819
/
128000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_221_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
21028794701819
/
128000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_221_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
21028794701819
/
128000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_221_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
21028794701819
/
128000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_221_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
21028794701819
/
128000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_221_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
21028794701819
/
128000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_221_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
21028794701819
/
128000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_221_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
21028794701819
/
128000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_221
:
Uρ
(
21028794701819
/
128000000000000
)
≤
-
(
20917375244390658060383
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_222_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
2108557473709
/
12800000000000
)
≤
-
(
1843445790326284033331
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_222_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
2108557473709
/
12800000000000
)
≤
-
(
18589488599339791797713
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_222_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
2108557473709
/
12800000000000
)
≤
-
(
1891007244489895609963
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_222_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
2108557473709
/
12800000000000
)
≤
-
(
19477284358716666822331
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_222_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
2108557473709
/
12800000000000
)
≤
-
(
20443870661181125243673
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_222_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
2108557473709
/
12800000000000
)
≤
-
(
11074163943683477485381
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_222_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
2108557473709
/
12800000000000
)
≤
-
(
12939557978942782377787
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_222_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
2108557473709
/
12800000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_222_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
2108557473709
/
12800000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_222_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
2108557473709
/
12800000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_222_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
2108557473709
/
12800000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_222_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
2108557473709
/
12800000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_222_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
2108557473709
/
12800000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_222_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
2108557473709
/
12800000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_222_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
2108557473709
/
12800000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_222_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
2108557473709
/
12800000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_222
:
Uρ
(
2108557473709
/
12800000000000
)
≤
-
(
20900817676992104316193
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_223_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
21142354772361
/
128000000000000
)
≤
-
(
1840646782995148303141
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_223_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
21142354772361
/
128000000000000
)
≤
-
(
4640262822588700036873
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_223_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
21142354772361
/
128000000000000
)
≤
-
(
18880675310025809271703
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_223_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
21142354772361
/
128000000000000
)
≤
-
(
19446063773434154064433
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_223_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
21142354772361
/
128000000000000
)
≤
-
(
20409114799383380511043
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_223_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
21142354772361
/
128000000000000
)
≤
-
(
4421118220594607150783
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_223_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
21142354772361
/
128000000000000
)
≤
-
(
25803001453402450152699
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_223_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
21142354772361
/
128000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_223_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
21142354772361
/
128000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_223_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
21142354772361
/
128000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_223_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
21142354772361
/
128000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_223_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
21142354772361
/
128000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_223_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
21142354772361
/
128000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_223_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
21142354772361
/
128000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_223_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
21142354772361
/
128000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_223_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
21142354772361
/
128000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_223
:
Uρ
(
21142354772361
/
128000000000000
)
≤
-
(
522109422600521759591
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_224_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
1324945925477
/
8000000000000
)
≤
-
(
4594638973109356257451
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_224_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
1324945925477
/
8000000000000
)
≤
-
(
2316586836256544584097
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_224_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
1324945925477
/
8000000000000
)
≤
-
(
2356420577366438601497
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_224_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
1324945925477
/
8000000000000
)
≤
-
(
3882988271717983275987
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_224_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
1324945925477
/
8000000000000
)
≤
-
(
1018724158109815143011
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_224_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
1324945925477
/
8000000000000
)
≤
-
(
882522226357036714549
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_224_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
1324945925477
/
8000000000000
)
≤
-
(
643194842372322635267
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_224_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
1324945925477
/
8000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_224_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
1324945925477
/
8000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_224_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
1324945925477
/
8000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_224_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
1324945925477
/
8000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_224_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
1324945925477
/
8000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_224_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
1324945925477
/
8000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_224_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
1324945925477
/
8000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_224_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
1324945925477
/
8000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_224_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
1324945925477
/
8000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_224
:
Uρ
(
1324945925477
/
8000000000000
)
≤
-
(
4173610031223508181363
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_225_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
10656347439087
/
64000000000000
)
≤
-
(
4580741172024563874411
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_225_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
10656347439087
/
64000000000000
)
≤
-
(
9238110895246623312471
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_225_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
10656347439087
/
64000000000000
)
≤
-
(
939650026926023325251
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_225_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
10656347439087
/
64000000000000
)
≤
-
(
9676494279784326839573
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_225_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
10656347439087
/
64000000000000
)
≤
-
(
20305588925442651515513
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_225_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
10656347439087
/
64000000000000
)
≤
-
(
5494645146109420751617
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_225_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
10656347439087
/
64000000000000
)
≤
-
(
12789994806014067070709
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_225_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
10656347439087
/
64000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_225_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
10656347439087
/
64000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_225_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
10656347439087
/
64000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_225_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
10656347439087
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_225_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
10656347439087
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_225_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
10656347439087
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_225_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
10656347439087
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_225_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
10656347439087
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_225_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
10656347439087
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_225
:
Uρ
(
10656347439087
/
64000000000000
)
≤
-
(
1302233018806088858069
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_226_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
5356563737179
/
32000000000000
)
≤
-
(
71358128331416751623
/
39062500000000000000
)
source
theorem
Zeta5Irrational
.
U_226_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
5356563737179
/
32000000000000
)
≤
-
(
18420066289172837522877
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_226_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
5356563737179
/
32000000000000
)
≤
-
(
18734976189111055348777
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_226_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
5356563737179
/
32000000000000
)
≤
-
(
19291421059334564470881
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_226_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
5356563737179
/
32000000000000
)
≤
-
(
10118590390140244503249
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_226_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
5356563737179
/
32000000000000
)
≤
-
(
175159092645873246921
/
80000000000000000000
)
source
theorem
Zeta5Irrational
.
U_226_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
5356563737179
/
32000000000000
)
≤
-
(
25435499359157548817667
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_226_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
5356563737179
/
32000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_226_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
5356563737179
/
32000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_226_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
5356563737179
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_226_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
5356563737179
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_226_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
5356563737179
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_226_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
5356563737179
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_226_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
5356563737179
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_226_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
5356563737179
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_226_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
5356563737179
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_226
:
Uρ
(
5356563737179
/
32000000000000
)
≤
-
(
20803832407117668669149
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_227_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
10769907509629
/
64000000000000
)
≤
-
(
9106350502993110805211
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_227_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
10769907509629
/
64000000000000
)
≤
-
(
18364224635257561809589
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_227_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
10769907509629
/
64000000000000
)
≤
-
(
4669321906570947279869
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_227_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
10769907509629
/
64000000000000
)
≤
-
(
9615117024126235910581
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_227_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
10769907509629
/
64000000000000
)
≤
-
(
20169251715464789785997
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_227_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
10769907509629
/
64000000000000
)
≤
-
(
10905979039386153311897
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_227_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
10769907509629
/
64000000000000
)
≤
-
(
25294137832826385335031
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_227_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
10769907509629
/
64000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_227_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
10769907509629
/
64000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_227_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
10769907509629
/
64000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_227_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
10769907509629
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_227_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
10769907509629
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_227_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
10769907509629
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_227_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
10769907509629
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_227_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
10769907509629
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_227_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
10769907509629
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_227
:
Uρ
(
10769907509629
/
64000000000000
)
≤
-
(
4154468893221481873091
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_228_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
108266875449
/
640000000000
)
≤
-
(
9079010911160674591103
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_228_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
108266875449
/
640000000000
)
≤
-
(
18308693337218033383591
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_228_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
108266875449
/
640000000000
)
≤
-
(
18619930974125314054273
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_228_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
108266875449
/
640000000000
)
≤
-
(
766776912281108700213
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_228_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
108266875449
/
640000000000
)
≤
-
(
502544871858661952131
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_228_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
108266875449
/
640000000000
)
≤
-
(
679055625029343955549
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_228_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
108266875449
/
640000000000
)
≤
-
(
25155736715238488212441
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_228_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
108266875449
/
640000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_228_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
108266875449
/
640000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_228_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
108266875449
/
640000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_228_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
108266875449
/
640000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_228_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
108266875449
/
640000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_228_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
108266875449
/
640000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_228_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
108266875449
/
640000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_228_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
108266875449
/
640000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_228_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
108266875449
/
640000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_228
:
Uρ
(
108266875449
/
640000000000
)
≤
-
(
5185311988381454830147
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_229_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
10883467580171
/
64000000000000
)
≤
-
(
3620728006182036485219
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_229_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
10883467580171
/
64000000000000
)
≤
-
(
18253468961514672487477
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_229_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
10883467580171
/
64000000000000
)
≤
-
(
9281451211823238992419
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_229_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
10883467580171
/
64000000000000
)
≤
-
(
19108982704437711202299
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_229_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
10883467580171
/
64000000000000
)
≤
-
(
5008700887564128370101
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_229_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
10883467580171
/
64000000000000
)
≤
-
(
21648337739633651589547
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_229_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
10883467580171
/
64000000000000
)
≤
-
(
12510071202273143955923
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_229_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
10883467580171
/
64000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_229_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
10883467580171
/
64000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_229_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
10883467580171
/
64000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_229_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
10883467580171
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_229_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
10883467580171
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_229_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
10883467580171
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_229_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
10883467580171
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_229_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
10883467580171
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_229_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
10883467580171
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_229
:
Uρ
(
10883467580171
/
64000000000000
)
≤
-
(
10355263825737622949503
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_230_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
5470123807721
/
32000000000000
)
≤
-
(
18049552413909734351791
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_230_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
5470123807721
/
32000000000000
)
≤
-
(
727941925252781587649
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_230_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
5470123807721
/
32000000000000
)
≤
-
(
9253099115622933870931
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_230_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
5470123807721
/
32000000000000
)
≤
-
(
952445459756741781521
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_230_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
5470123807721
/
32000000000000
)
≤
-
(
19968271182064297647983
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_230_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
5470123807721
/
32000000000000
)
≤
-
(
10783808568520747034887
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_230_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
5470123807721
/
32000000000000
)
≤
-
(
6221803565729163471369
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_230_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
5470123807721
/
32000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_230_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
5470123807721
/
32000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_230_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
5470123807721
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_230_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
5470123807721
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_230_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
5470123807721
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_230_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
5470123807721
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_230_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
5470123807721
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_230_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
5470123807721
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_230_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
5470123807721
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_230
:
Uρ
(
5470123807721
/
32000000000000
)
≤
-
(
20680169497693025977507
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_231_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
10997027650713
/
64000000000000
)
≤
-
(
17995755805428837382471
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_231_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
10997027650713
/
64000000000000
)
≤
-
(
4535981881318316691607
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_231_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
10997027650713
/
64000000000000
)
≤
-
(
2306226839652172024137
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_231_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
10997027650713
/
64000000000000
)
≤
-
(
18989197817517969399161
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_231_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
10997027650713
/
64000000000000
)
≤
-
(
19902191349902427008359
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_231_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
10997027650713
/
64000000000000
)
≤
-
(
10743802233008661327371
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_231_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
10997027650713
/
64000000000000
)
≤
-
(
12378411562319641158947
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_231_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
10997027650713
/
64000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_231_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
10997027650713
/
64000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_231_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
10997027650713
/
64000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_231_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
10997027650713
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_231_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
10997027650713
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_231_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
10997027650713
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_231_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
10997027650713
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_231_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
10997027650713
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_231_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
10997027650713
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_231
:
Uρ
(
10997027650713
/
64000000000000
)
≤
-
(
4130032091383163246483
/
2000000000000000000000
)