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.
Table
.
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LeanPool.Zeta5Irrational.Table.UpperCertificate
Imported by
Zeta5Irrational
.
U_244_1
Zeta5Irrational
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U_244_2
Zeta5Irrational
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U_244_3
Zeta5Irrational
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U_244_4
Zeta5Irrational
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U_244_5
Zeta5Irrational
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U_244_6
Zeta5Irrational
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U_244_7
Zeta5Irrational
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U_244_8
Zeta5Irrational
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U_244_9
Zeta5Irrational
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U_244_10
Zeta5Irrational
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U_244_11
Zeta5Irrational
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U_244_12
Zeta5Irrational
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U_244_13
Zeta5Irrational
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U_244_14
Zeta5Irrational
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U_244_15
Zeta5Irrational
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U_244_16
Zeta5Irrational
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U_244
Zeta5Irrational
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U_245_1
Zeta5Irrational
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U_245_2
Zeta5Irrational
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U_245_3
Zeta5Irrational
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U_245_4
Zeta5Irrational
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U_245_5
Zeta5Irrational
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U_245_6
Zeta5Irrational
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U_245_7
Zeta5Irrational
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U_245_8
Zeta5Irrational
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U_245_9
Zeta5Irrational
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U_245_10
Zeta5Irrational
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U_245_11
Zeta5Irrational
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U_245_12
Zeta5Irrational
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U_245_13
Zeta5Irrational
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U_245_14
Zeta5Irrational
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U_245_15
Zeta5Irrational
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U_245_16
Zeta5Irrational
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U_245
Zeta5Irrational
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U_246_1
Zeta5Irrational
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U_246_2
Zeta5Irrational
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U_246_3
Zeta5Irrational
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U_246_4
Zeta5Irrational
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U_246_5
Zeta5Irrational
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U_246_6
Zeta5Irrational
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U_246_7
Zeta5Irrational
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U_246_8
Zeta5Irrational
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U_246_9
Zeta5Irrational
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U_246_10
Zeta5Irrational
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U_246_11
Zeta5Irrational
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U_246_12
Zeta5Irrational
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U_246_13
Zeta5Irrational
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U_246_14
Zeta5Irrational
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U_246_15
Zeta5Irrational
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U_246_16
Zeta5Irrational
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U_246
Zeta5Irrational
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U_247_1
Zeta5Irrational
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U_247_2
Zeta5Irrational
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U_247_3
Zeta5Irrational
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U_247_4
Zeta5Irrational
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U_247_5
Zeta5Irrational
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U_247_6
Zeta5Irrational
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U_247_7
Zeta5Irrational
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U_247_8
Zeta5Irrational
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U_247_9
Zeta5Irrational
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U_247_10
Zeta5Irrational
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U_247_11
Zeta5Irrational
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U_247_12
Zeta5Irrational
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U_247_13
Zeta5Irrational
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U_247_14
Zeta5Irrational
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U_247_15
Zeta5Irrational
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U_247_16
Zeta5Irrational
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U_247
Zeta5Irrational
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U_248_1
Zeta5Irrational
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U_248_2
Zeta5Irrational
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U_248_3
Zeta5Irrational
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U_248_4
Zeta5Irrational
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U_248_5
Zeta5Irrational
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U_248_6
Zeta5Irrational
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U_248_7
Zeta5Irrational
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U_248_8
Zeta5Irrational
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U_248_9
Zeta5Irrational
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U_248_10
Zeta5Irrational
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U_248_11
Zeta5Irrational
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U_248_12
Zeta5Irrational
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U_248_13
Zeta5Irrational
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U_248_14
Zeta5Irrational
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U_248_15
Zeta5Irrational
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U_248_16
Zeta5Irrational
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U_248
Zeta5Irrational
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U_249_1
Zeta5Irrational
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U_249_2
Zeta5Irrational
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U_249_3
Zeta5Irrational
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U_249_4
Zeta5Irrational
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U_249_5
Zeta5Irrational
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U_249_6
Zeta5Irrational
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U_249_7
Zeta5Irrational
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U_249_8
Zeta5Irrational
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U_249_9
Zeta5Irrational
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U_249_10
Zeta5Irrational
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U_249_11
Zeta5Irrational
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U_249_12
Zeta5Irrational
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U_249_13
Zeta5Irrational
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U_249_14
Zeta5Irrational
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U_249_15
Zeta5Irrational
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U_249_16
Zeta5Irrational
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U_249
Zeta5Irrational
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U_250_1
Zeta5Irrational
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U_250_2
Zeta5Irrational
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U_250_3
Zeta5Irrational
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U_250_4
Zeta5Irrational
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U_250_5
Zeta5Irrational
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U_250_6
Zeta5Irrational
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U_250_7
Zeta5Irrational
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U_250_8
Zeta5Irrational
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U_250_9
Zeta5Irrational
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U_250_10
Zeta5Irrational
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U_250_11
Zeta5Irrational
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U_250_12
Zeta5Irrational
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U_250_13
Zeta5Irrational
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U_250_14
Zeta5Irrational
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U_250_15
Zeta5Irrational
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U_250_16
Zeta5Irrational
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U_250
Zeta5Irrational
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U_251_1
Zeta5Irrational
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U_251_2
Zeta5Irrational
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U_251_3
Zeta5Irrational
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U_251_4
Zeta5Irrational
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U_251_5
Zeta5Irrational
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U_251_6
Zeta5Irrational
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U_251_7
Zeta5Irrational
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U_251_8
Zeta5Irrational
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U_251_9
Zeta5Irrational
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U_251_10
Zeta5Irrational
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U_251_11
Zeta5Irrational
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U_251_12
Zeta5Irrational
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U_251_13
Zeta5Irrational
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U_251_14
Zeta5Irrational
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U_251_15
Zeta5Irrational
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U_251_16
Zeta5Irrational
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U_251
Zeta5Irrational
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U_252_1
Zeta5Irrational
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U_252_2
Zeta5Irrational
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U_252_3
Zeta5Irrational
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U_252_4
Zeta5Irrational
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U_252_5
Zeta5Irrational
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U_252_6
Zeta5Irrational
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U_252_7
Zeta5Irrational
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U_252_8
Zeta5Irrational
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U_252_9
Zeta5Irrational
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U_252_10
Zeta5Irrational
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U_252_11
Zeta5Irrational
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U_252_12
Zeta5Irrational
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U_252_13
Zeta5Irrational
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U_252_14
Zeta5Irrational
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U_252_15
Zeta5Irrational
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U_252_16
Zeta5Irrational
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U_252
Zeta5Irrational
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U_253_1
Zeta5Irrational
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U_253_2
Zeta5Irrational
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U_253_3
Zeta5Irrational
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U_253_4
Zeta5Irrational
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U_253_5
Zeta5Irrational
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U_253_6
Zeta5Irrational
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U_253_7
Zeta5Irrational
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U_253_8
Zeta5Irrational
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U_253_9
Zeta5Irrational
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U_253_10
Zeta5Irrational
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U_253_11
Zeta5Irrational
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U_253_12
Zeta5Irrational
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U_253_13
Zeta5Irrational
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U_253_14
Zeta5Irrational
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U_253_15
Zeta5Irrational
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U_253_16
Zeta5Irrational
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U_253
Zeta5Irrational
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U_254_1
Zeta5Irrational
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U_254_2
Zeta5Irrational
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U_254_3
Zeta5Irrational
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U_254_4
Zeta5Irrational
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U_254_5
Zeta5Irrational
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U_254_6
Zeta5Irrational
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U_254_7
Zeta5Irrational
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U_254_8
Zeta5Irrational
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U_254_9
Zeta5Irrational
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U_254_10
Zeta5Irrational
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U_254_11
Zeta5Irrational
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U_254_12
Zeta5Irrational
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U_254_13
Zeta5Irrational
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U_254_14
Zeta5Irrational
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U_254_15
Zeta5Irrational
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U_254_16
Zeta5Irrational
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U_254
Zeta5Irrational
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U_255_1
Zeta5Irrational
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U_255_2
Zeta5Irrational
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U_255_3
Zeta5Irrational
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U_255_4
Zeta5Irrational
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U_255_5
Zeta5Irrational
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U_255_6
Zeta5Irrational
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U_255_7
Zeta5Irrational
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U_255_8
Zeta5Irrational
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U_255_9
Zeta5Irrational
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U_255_10
Zeta5Irrational
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U_255_11
Zeta5Irrational
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U_255_12
Zeta5Irrational
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U_255_13
Zeta5Irrational
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U_255_14
Zeta5Irrational
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U_255_15
Zeta5Irrational
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U_255_16
Zeta5Irrational
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U_255
Certified arcsine potential bounds (U20)
#
source
theorem
Zeta5Irrational
.
U_244_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
132802102197
/
640000000000
)
≤
-
(
80211196028750566739
/
50000000000000000000
)
source
theorem
Zeta5Irrational
.
U_244_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
132802102197
/
640000000000
)
≤
-
(
1010215922572068434639
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_244_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
132802102197
/
640000000000
)
≤
-
(
8206032948370699617277
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_244_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
132802102197
/
640000000000
)
≤
-
(
8422407421941390401861
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_244_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
132802102197
/
640000000000
)
≤
-
(
877963093041325964747
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_244_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
132802102197
/
640000000000
)
≤
-
(
4684014389455247979343
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_244_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
132802102197
/
640000000000
)
≤
-
(
20809744920160066222079
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_244_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
132802102197
/
640000000000
)
≤
-
(
26362368852389073231951
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_244_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
132802102197
/
640000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_244_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
132802102197
/
640000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_244_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
132802102197
/
640000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_244_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
132802102197
/
640000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_244_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
132802102197
/
640000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_244_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
132802102197
/
640000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_244_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
132802102197
/
640000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_244_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
132802102197
/
640000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_244
:
Uρ
(
132802102197
/
640000000000
)
≤
-
(
2416425266355531027053
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_245_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
6674225226937
/
32000000000000
)
≤
-
(
15989341814769083441683
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_245_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
6674225226937
/
32000000000000
)
≤
-
(
251717216120021689271
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_245_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
6674225226937
/
32000000000000
)
≤
-
(
16357129540002021346027
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_245_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
6674225226937
/
32000000000000
)
≤
-
(
839366889642839072517
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_245_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
6674225226937
/
32000000000000
)
≤
-
(
8748589672698357586477
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_245_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
6674225226937
/
32000000000000
)
≤
-
(
18665037439110731528699
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_245_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
6674225226937
/
32000000000000
)
≤
-
(
129481655524811388393
/
62500000000000000000
)
source
theorem
Zeta5Irrational
.
U_245_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
6674225226937
/
32000000000000
)
≤
-
(
26081207921134859408713
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_245_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
6674225226937
/
32000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_245_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
6674225226937
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_245_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
6674225226937
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_245_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
6674225226937
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_245_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
6674225226937
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_245_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
6674225226937
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_245_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
6674225226937
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_245_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
6674225226937
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_245
:
Uρ
(
6674225226937
/
32000000000000
)
≤
-
(
19280957920972008264119
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_246_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
838543168003
/
4000000000000
)
≤
-
(
1992090348424161097649
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_246_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
838543168003
/
4000000000000
)
≤
-
(
8028317158933071913149
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_246_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
838543168003
/
4000000000000
)
≤
-
(
4075623479472093816281
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_246_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
838543168003
/
4000000000000
)
≤
-
(
16730191195247513018179
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_246_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
838543168003
/
4000000000000
)
≤
-
(
8717743323121730710593
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_246_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
838543168003
/
4000000000000
)
≤
-
(
18594544327930489474517
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_246_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
838543168003
/
4000000000000
)
≤
-
(
825015431120082058003
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_246_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
838543168003
/
4000000000000
)
≤
-
(
3227522382415953287113
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_246_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
838543168003
/
4000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_246_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
838543168003
/
4000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_246_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
838543168003
/
4000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_246_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
838543168003
/
4000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_246_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
838543168003
/
4000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_246_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
838543168003
/
4000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_246_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
838543168003
/
4000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_246_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
838543168003
/
4000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_246
:
Uρ
(
838543168003
/
4000000000000
)
≤
-
(
961624510270881730459
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_247_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
6742465461111
/
32000000000000
)
≤
-
(
15884379209042150851217
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_247_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
6742465461111
/
32000000000000
)
≤
-
(
16003649191942420646063
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_247_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
6742465461111
/
32000000000000
)
≤
-
(
8124077874733012623601
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_247_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
6742465461111
/
32000000000000
)
≤
-
(
16673371250703288171891
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_247_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
6742465461111
/
32000000000000
)
≤
-
(
43435447039729323767
/
25000000000000000000
)
source
theorem
Zeta5Irrational
.
U_247_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
6742465461111
/
32000000000000
)
≤
-
(
4631142522539577805907
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_247_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
6742465461111
/
32000000000000
)
≤
-
(
20534683322764266391341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_247_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
6742465461111
/
32000000000000
)
≤
-
(
25575639136592379083153
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_247_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
6742465461111
/
32000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_247_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
6742465461111
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_247_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
6742465461111
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_247_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
6742465461111
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_247_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
6742465461111
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_247_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
6742465461111
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_247_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
6742465461111
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_247_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
6742465461111
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_247
:
Uρ
(
6742465461111
/
32000000000000
)
≤
-
(
19185673420397004360467
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_248_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
3388292789099
/
16000000000000
)
≤
-
(
15832308210675581165643
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_248_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
3388292789099
/
16000000000000
)
≤
-
(
7975471737047489165407
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_248_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
3388292789099
/
16000000000000
)
≤
-
(
3238822361460214488721
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_248_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
3388292789099
/
16000000000000
)
≤
-
(
3323374844885987262029
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_248_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
3388292789099
/
16000000000000
)
≤
-
(
3462650200390808338077
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_248_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
3388292789099
/
16000000000000
)
≤
-
(
18455106786157723315289
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_248_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
3388292789099
/
16000000000000
)
≤
-
(
20444934186107947075261
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_248_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
3388292789099
/
16000000000000
)
≤
-
(
792029153694985536973
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_248_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
3388292789099
/
16000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_248_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
3388292789099
/
16000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_248_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
3388292789099
/
16000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_248_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
3388292789099
/
16000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_248_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
3388292789099
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_248_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
3388292789099
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_248_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
3388292789099
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_248_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
3388292789099
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_248
:
Uρ
(
3388292789099
/
16000000000000
)
≤
-
(
3828053887706228677047
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_249_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
1362141139057
/
6400000000000
)
≤
-
(
7890253483925033164729
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_249_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
1362141139057
/
6400000000000
)
≤
-
(
3179702846290115685933
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_249_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
1362141139057
/
6400000000000
)
≤
-
(
3228071783260219938387
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_249_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
1362141139057
/
6400000000000
)
≤
-
(
16560696445683286189297
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_249_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
1362141139057
/
6400000000000
)
≤
-
(
1725269844467385308997
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_249_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
1362141139057
/
6400000000000
)
≤
-
(
735445866576952836003
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_249_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
1362141139057
/
6400000000000
)
≤
-
(
10178057967148668099869
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_249_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
1362141139057
/
6400000000000
)
≤
-
(
201008430917706393269
/
80000000000000000000
)
source
theorem
Zeta5Irrational
.
U_249_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
1362141139057
/
6400000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_249_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
1362141139057
/
6400000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_249_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
1362141139057
/
6400000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_249_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
1362141139057
/
6400000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_249_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
1362141139057
/
6400000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_249_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
1362141139057
/
6400000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_249_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
1362141139057
/
6400000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_249_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
1362141139057
/
6400000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_249
:
Uρ
(
1362141139057
/
6400000000000
)
≤
-
(
19096097579846410691343
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_250_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
1711206453093
/
8000000000000
)
≤
-
(
15728972699799062262617
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_250_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
1711206453093
/
8000000000000
)
≤
-
(
7923179288548330911731
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_250_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
1711206453093
/
8000000000000
)
≤
-
(
1608689395258738273783
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_250_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
1711206453093
/
8000000000000
)
≤
-
(
16504834306304953880329
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_250_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
1711206453093
/
8000000000000
)
≤
-
(
17192516474548806354561
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_250_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
1711206453093
/
8000000000000
)
≤
-
(
9158841077746681639
/
5000000000000000000
)
source
theorem
Zeta5Irrational
.
U_250_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
1711206453093
/
8000000000000
)
≤
-
(
4053641396807687271301
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_250_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
1711206453093
/
8000000000000
)
≤
-
(
24917441486620581692963
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_250_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
1711206453093
/
8000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_250_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
1711206453093
/
8000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_250_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
1711206453093
/
8000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_250_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
1711206453093
/
8000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_250_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
1711206453093
/
8000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_250_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
1711206453093
/
8000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_250_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
1711206453093
/
8000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_250_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
1711206453093
/
8000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_250
:
Uρ
(
1711206453093
/
8000000000000
)
≤
-
(
2381627086733213812727
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_251_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
13723771741831
/
64000000000000
)
≤
-
(
15703304824046411768787
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_251_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
13723771741831
/
64000000000000
)
≤
-
(
15820382455700095831141
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_251_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
13723771741831
/
64000000000000
)
≤
-
(
8030134240491908589773
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_251_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
13723771741831
/
64000000000000
)
≤
-
(
1029813780661990088497
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_251_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
13723771741831
/
64000000000000
)
≤
-
(
17162563024561307747881
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_251_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
13723771741831
/
64000000000000
)
≤
-
(
18283633438707248311039
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_251_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
13723771741831
/
64000000000000
)
≤
-
(
4044917394737842997651
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_251_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
13723771741831
/
64000000000000
)
≤
-
(
24816587177418204207001
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_251_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
13723771741831
/
64000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_251_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
13723771741831
/
64000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_251_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
13723771741831
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_251_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
13723771741831
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_251_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
13723771741831
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_251_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
13723771741831
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_251_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
13723771741831
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_251_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
13723771741831
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_251
:
Uρ
(
13723771741831
/
64000000000000
)
≤
-
(
19031849196494214193577
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_252_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
6878945929459
/
32000000000000
)
≤
-
(
7838851334268503496127
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_252_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
6878945929459
/
32000000000000
)
≤
-
(
3158894733825103070931
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_252_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
6878945929459
/
32000000000000
)
≤
-
(
8016856921198687784309
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_252_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
6878945929459
/
32000000000000
)
≤
-
(
8224642129649983668167
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_252_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
6878945929459
/
32000000000000
)
≤
-
(
3426540102006141285593
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_252_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
6878945929459
/
32000000000000
)
≤
-
(
18249705866105557760711
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_252_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
6878945929459
/
32000000000000
)
≤
-
(
20181186557770656385763
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_252_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
6878945929459
/
32000000000000
)
≤
-
(
6179463379973671333507
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_252_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
6878945929459
/
32000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_252_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
6878945929459
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_252_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
6878945929459
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_252_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
6878945929459
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_252_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
6878945929459
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_252_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
6878945929459
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_252_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
6878945929459
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_252_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
6878945929459
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_252
:
Uρ
(
6878945929459
/
32000000000000
)
≤
-
(
19010913855813137707793
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_253_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
2758402395201
/
12800000000000
)
≤
-
(
31304331795127864129
/
20000000000000000000
)
source
theorem
Zeta5Irrational
.
U_253_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
2758402395201
/
12800000000000
)
≤
-
(
3153726373802742696967
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_253_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
2758402395201
/
12800000000000
)
≤
-
(
16007229660263138625569
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_253_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
2758402395201
/
12800000000000
)
≤
-
(
4105406294596253327
/
2500000000000000000
)
source
theorem
Zeta5Irrational
.
U_253_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
2758402395201
/
12800000000000
)
≤
-
(
4275732092910269981083
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_253_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
2758402395201
/
12800000000000
)
≤
-
(
9107949270071717081159
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_253_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
2758402395201
/
12800000000000
)
≤
-
(
2013800325814052412029
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_253_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
2758402395201
/
12800000000000
)
≤
-
(
24621121171626664245687
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_253_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
2758402395201
/
12800000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_253_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
2758402395201
/
12800000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_253_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
2758402395201
/
12800000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_253_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
2758402395201
/
12800000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_253_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
2758402395201
/
12800000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_253_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
2758402395201
/
12800000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_253_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
2758402395201
/
12800000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_253_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
2758402395201
/
12800000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_253
:
Uρ
(
2758402395201
/
12800000000000
)
≤
-
(
4747549936875150188239
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_254_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
3456533023273
/
16000000000000
)
≤
-
(
15626694177986153223101
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_254_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
3456533023273
/
16000000000000
)
≤
-
(
15742856709703212177573
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_254_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
3456533023273
/
16000000000000
)
≤
-
(
1997601945127060592757
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_254_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
3456533023273
/
16000000000000
)
≤
-
(
4098510704363691246301
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_254_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
3456533023273
/
16000000000000
)
≤
-
(
4268311513824813753719
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_254_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
3456533023273
/
16000000000000
)
≤
-
(
1818221057360102248173
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_254_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
3456533023273
/
16000000000000
)
≤
-
(
10047517320976467956059
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_254_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
3456533023273
/
16000000000000
)
≤
-
(
3065785211127408859203
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_254_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
3456533023273
/
16000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_254_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
3456533023273
/
16000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_254_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
3456533023273
/
16000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_254_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
3456533023273
/
16000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_254_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
3456533023273
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_254_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
3456533023273
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_254_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
3456533023273
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_254_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
3456533023273
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_254
:
Uρ
(
3456533023273
/
16000000000000
)
≤
-
(
9484848458057468868523
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_255_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
13860252210179
/
64000000000000
)
≤
-
(
3900321794800609828613
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_255_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
13860252210179
/
64000000000000
)
≤
-
(
15717147848202477416551
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_255_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
13860252210179
/
64000000000000
)
≤
-
(
15954471174061227251973
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_255_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
13860252210179
/
64000000000000
)
≤
-
(
255727136714500718647
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_255_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
13860252210179
/
64000000000000
)
≤
-
(
17043653012069059339703
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_255_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
13860252210179
/
64000000000000
)
≤
-
(
18148641089420613638953
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_255_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
13860252210179
/
64000000000000
)
≤
-
(
5013069580125437245247
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_255_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
13860252210179
/
64000000000000
)
≤
-
(
6108309044709731099283
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_255_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
13860252210179
/
64000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_255_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
13860252210179
/
64000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_255_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
13860252210179
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_255_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
13860252210179
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_255_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
13860252210179
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_255_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
13860252210179
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_255_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
13860252210179
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_255_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
13860252210179
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_255
:
Uρ
(
13860252210179
/
64000000000000
)
≤
-
(
18949396255775099006671
/
10000000000000000000000
)