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.
Zeta5Irrational
.
Table
.
U22
Search
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Imports
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LeanPool.Zeta5Irrational.Table.UpperCertificate
Imported by
Zeta5Irrational
.
U_268_1
Zeta5Irrational
.
U_268_2
Zeta5Irrational
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U_268_3
Zeta5Irrational
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U_268_4
Zeta5Irrational
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U_268_5
Zeta5Irrational
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U_268_6
Zeta5Irrational
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U_268_7
Zeta5Irrational
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U_268_8
Zeta5Irrational
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U_268_9
Zeta5Irrational
.
U_268_10
Zeta5Irrational
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U_268_11
Zeta5Irrational
.
U_268_12
Zeta5Irrational
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U_268_13
Zeta5Irrational
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U_268_14
Zeta5Irrational
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U_268_15
Zeta5Irrational
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U_268_16
Zeta5Irrational
.
U_268
Zeta5Irrational
.
U_269_1
Zeta5Irrational
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U_269_2
Zeta5Irrational
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U_269_3
Zeta5Irrational
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U_269_4
Zeta5Irrational
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U_269_5
Zeta5Irrational
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U_269_6
Zeta5Irrational
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U_269_7
Zeta5Irrational
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U_269_8
Zeta5Irrational
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U_269_9
Zeta5Irrational
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U_269_10
Zeta5Irrational
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U_269_11
Zeta5Irrational
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U_269_12
Zeta5Irrational
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U_269_13
Zeta5Irrational
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U_269_14
Zeta5Irrational
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U_269_15
Zeta5Irrational
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U_269_16
Zeta5Irrational
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U_269
Zeta5Irrational
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U_270_1
Zeta5Irrational
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U_270_2
Zeta5Irrational
.
U_270_3
Zeta5Irrational
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U_270_4
Zeta5Irrational
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U_270_5
Zeta5Irrational
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U_270_6
Zeta5Irrational
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U_270_7
Zeta5Irrational
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U_270_8
Zeta5Irrational
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U_270_9
Zeta5Irrational
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U_270_10
Zeta5Irrational
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U_270_11
Zeta5Irrational
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U_270_12
Zeta5Irrational
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U_270_13
Zeta5Irrational
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U_270_14
Zeta5Irrational
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U_270_15
Zeta5Irrational
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U_270_16
Zeta5Irrational
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U_270
Zeta5Irrational
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U_271_1
Zeta5Irrational
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U_271_2
Zeta5Irrational
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U_271_3
Zeta5Irrational
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U_271_4
Zeta5Irrational
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U_271_5
Zeta5Irrational
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U_271_6
Zeta5Irrational
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U_271_7
Zeta5Irrational
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U_271_8
Zeta5Irrational
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U_271_9
Zeta5Irrational
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U_271_10
Zeta5Irrational
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U_271_11
Zeta5Irrational
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U_271_12
Zeta5Irrational
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U_271_13
Zeta5Irrational
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U_271_14
Zeta5Irrational
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U_271_15
Zeta5Irrational
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U_271_16
Zeta5Irrational
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U_271
Zeta5Irrational
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U_272_1
Zeta5Irrational
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U_272_2
Zeta5Irrational
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U_272_3
Zeta5Irrational
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U_272_4
Zeta5Irrational
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U_272_5
Zeta5Irrational
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U_272_6
Zeta5Irrational
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U_272_7
Zeta5Irrational
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U_272_8
Zeta5Irrational
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U_272_9
Zeta5Irrational
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U_272_10
Zeta5Irrational
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U_272_11
Zeta5Irrational
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U_272_12
Zeta5Irrational
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U_272_13
Zeta5Irrational
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U_272_14
Zeta5Irrational
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U_272_15
Zeta5Irrational
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U_272_16
Zeta5Irrational
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U_272
Zeta5Irrational
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U_273_1
Zeta5Irrational
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U_273_2
Zeta5Irrational
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U_273_3
Zeta5Irrational
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U_273_4
Zeta5Irrational
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U_273_5
Zeta5Irrational
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U_273_6
Zeta5Irrational
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U_273_7
Zeta5Irrational
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U_273_8
Zeta5Irrational
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U_273_9
Zeta5Irrational
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U_273_10
Zeta5Irrational
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U_273_11
Zeta5Irrational
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U_273_12
Zeta5Irrational
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U_273_13
Zeta5Irrational
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U_273_14
Zeta5Irrational
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U_273_15
Zeta5Irrational
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U_273_16
Zeta5Irrational
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U_273
Zeta5Irrational
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U_274_1
Zeta5Irrational
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U_274_2
Zeta5Irrational
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U_274_3
Zeta5Irrational
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U_274_4
Zeta5Irrational
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U_274_5
Zeta5Irrational
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U_274_6
Zeta5Irrational
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U_274_7
Zeta5Irrational
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U_274_8
Zeta5Irrational
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U_274_9
Zeta5Irrational
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U_274_10
Zeta5Irrational
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U_274_11
Zeta5Irrational
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U_274_12
Zeta5Irrational
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U_274_13
Zeta5Irrational
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U_274_14
Zeta5Irrational
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U_274_15
Zeta5Irrational
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U_274_16
Zeta5Irrational
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U_274
Zeta5Irrational
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U_275_1
Zeta5Irrational
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U_275_2
Zeta5Irrational
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U_275_3
Zeta5Irrational
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U_275_4
Zeta5Irrational
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U_275_5
Zeta5Irrational
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U_275_6
Zeta5Irrational
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U_275_7
Zeta5Irrational
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U_275_8
Zeta5Irrational
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U_275_9
Zeta5Irrational
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U_275_10
Zeta5Irrational
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U_275_11
Zeta5Irrational
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U_275_12
Zeta5Irrational
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U_275_13
Zeta5Irrational
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U_275_14
Zeta5Irrational
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U_275_15
Zeta5Irrational
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U_275_16
Zeta5Irrational
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U_275
Zeta5Irrational
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U_276_1
Zeta5Irrational
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U_276_2
Zeta5Irrational
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U_276_3
Zeta5Irrational
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U_276_4
Zeta5Irrational
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U_276_5
Zeta5Irrational
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U_276_6
Zeta5Irrational
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U_276_7
Zeta5Irrational
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U_276_8
Zeta5Irrational
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U_276_9
Zeta5Irrational
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U_276_10
Zeta5Irrational
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U_276_11
Zeta5Irrational
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U_276_12
Zeta5Irrational
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U_276_13
Zeta5Irrational
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U_276_14
Zeta5Irrational
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U_276_15
Zeta5Irrational
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U_276_16
Zeta5Irrational
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U_276
Zeta5Irrational
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U_277_1
Zeta5Irrational
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U_277_2
Zeta5Irrational
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U_277_3
Zeta5Irrational
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U_277_4
Zeta5Irrational
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U_277_5
Zeta5Irrational
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U_277_6
Zeta5Irrational
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U_277_7
Zeta5Irrational
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U_277_8
Zeta5Irrational
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U_277_9
Zeta5Irrational
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U_277_10
Zeta5Irrational
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U_277_11
Zeta5Irrational
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U_277_12
Zeta5Irrational
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U_277_13
Zeta5Irrational
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U_277_14
Zeta5Irrational
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U_277_15
Zeta5Irrational
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U_277_16
Zeta5Irrational
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U_277
Zeta5Irrational
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U_278_1
Zeta5Irrational
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U_278_2
Zeta5Irrational
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U_278_3
Zeta5Irrational
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U_278_4
Zeta5Irrational
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U_278_5
Zeta5Irrational
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U_278_6
Zeta5Irrational
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U_278_7
Zeta5Irrational
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U_278_8
Zeta5Irrational
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U_278_9
Zeta5Irrational
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U_278_10
Zeta5Irrational
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U_278_11
Zeta5Irrational
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U_278_12
Zeta5Irrational
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U_278_13
Zeta5Irrational
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U_278_14
Zeta5Irrational
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U_278_15
Zeta5Irrational
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U_278_16
Zeta5Irrational
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U_278
Zeta5Irrational
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U_279_1
Zeta5Irrational
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U_279_2
Zeta5Irrational
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U_279_3
Zeta5Irrational
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U_279_4
Zeta5Irrational
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U_279_5
Zeta5Irrational
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U_279_6
Zeta5Irrational
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U_279_7
Zeta5Irrational
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U_279_8
Zeta5Irrational
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U_279_9
Zeta5Irrational
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U_279_10
Zeta5Irrational
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U_279_11
Zeta5Irrational
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U_279_12
Zeta5Irrational
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U_279_13
Zeta5Irrational
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U_279_14
Zeta5Irrational
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U_279_15
Zeta5Irrational
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U_279_16
Zeta5Irrational
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U_279
Certified arcsine potential bounds (U22)
#
source
theorem
Zeta5Irrational
.
U_268_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
1430381373231
/
6400000000000
)
≤
-
(
7638369915361229297179
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_268_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
1430381373231
/
6400000000000
)
≤
-
(
7694407190984975856153
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_268_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
1430381373231
/
6400000000000
)
≤
-
(
3123634910807985488307
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_268_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
1430381373231
/
6400000000000
)
≤
-
(
16015712693712828402873
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_268_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
1430381373231
/
6400000000000
)
≤
-
(
16666826535024517328497
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_268_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
1430381373231
/
6400000000000
)
≤
-
(
8861319087358917193727
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_268_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
1430381373231
/
6400000000000
)
≤
-
(
1951475193735104412929
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_268_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
1430381373231
/
6400000000000
)
≤
-
(
23353858451496383736881
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_268_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
1430381373231
/
6400000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_268_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
1430381373231
/
6400000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_268_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
1430381373231
/
6400000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_268_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
1430381373231
/
6400000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_268_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
1430381373231
/
6400000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_268_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
1430381373231
/
6400000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_268_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
1430381373231
/
6400000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_268_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
1430381373231
/
6400000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_268
:
Uρ
(
1430381373231
/
6400000000000
)
≤
-
(
18700808222836457915203
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_269_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
14337933849397
/
64000000000000
)
≤
-
(
7626102786438175269679
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_269_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
14337933849397
/
64000000000000
)
≤
-
(
7681999553831932135529
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_269_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
14337933849397
/
64000000000000
)
≤
-
(
7796384408299785382657
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_269_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
14337933849397
/
64000000000000
)
≤
-
(
7994615924007200057329
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_269_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
14337933849397
/
64000000000000
)
≤
-
(
16638428417119872482403
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_269_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
14337933849397
/
64000000000000
)
≤
-
(
3538128136498892697533
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_269_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
14337933849397
/
64000000000000
)
≤
-
(
4868684798127873941503
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_269_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
14337933849397
/
64000000000000
)
≤
-
(
23278948388726262110201
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_269_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
14337933849397
/
64000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_269_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
14337933849397
/
64000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_269_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
14337933849397
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_269_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
14337933849397
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_269_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
14337933849397
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_269_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
14337933849397
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_269_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
14337933849397
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_269_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
14337933849397
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_269
:
Uρ
(
14337933849397
/
64000000000000
)
≤
-
(
3736537088496720148241
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_270_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
3593013491621
/
16000000000000
)
≤
-
(
15227731364814907513837
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_270_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
3593013491621
/
16000000000000
)
≤
-
(
7669622644416340882011
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_270_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
3593013491621
/
16000000000000
)
≤
-
(
15567427568303136711517
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_270_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
3593013491621
/
16000000000000
)
≤
-
(
7981410650442638429787
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_270_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
3593013491621
/
16000000000000
)
≤
-
(
16610111915455838225121
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_270_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
3593013491621
/
16000000000000
)
≤
-
(
17658749634887927061711
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_270_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
3593013491621
/
16000000000000
)
≤
-
(
9717453763183694041361
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_270_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
3593013491621
/
16000000000000
)
≤
-
(
5801248140116723696391
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_270_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
3593013491621
/
16000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_270_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
3593013491621
/
16000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_270_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
3593013491621
/
16000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_270_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
3593013491621
/
16000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_270_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
3593013491621
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_270_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
3593013491621
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_270_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
3593013491621
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_270_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
3593013491621
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_270
:
Uρ
(
3593013491621
/
16000000000000
)
≤
-
(
2333085713962513780869
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_271_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
14406174083571
/
64000000000000
)
≤
-
(
7601658456640705685281
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_271_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
14406174083571
/
64000000000000
)
≤
-
(
15314552621698947647151
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_271_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
14406174083571
/
64000000000000
)
≤
-
(
7771075241021788038101
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_271_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
14406174083571
/
64000000000000
)
≤
-
(
15936480678178473697243
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_271_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
14406174083571
/
64000000000000
)
≤
-
(
103636728471640727917
/
62500000000000000000
)
source
theorem
Zeta5Irrational
.
U_271_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
14406174083571
/
64000000000000
)
≤
-
(
17626964297738276232173
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_271_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
14406174083571
/
64000000000000
)
≤
-
(
9697627563002555907191
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_271_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
14406174083571
/
64000000000000
)
≤
-
(
23131959300184916443993
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_271_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
14406174083571
/
64000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_271_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
14406174083571
/
64000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_271_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
14406174083571
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_271_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
14406174083571
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_271_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
14406174083571
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_271_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
14406174083571
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_271_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
14406174083571
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_271_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
14406174083571
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_271
:
Uρ
(
14406174083571
/
64000000000000
)
≤
-
(
18646805938925348800429
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_272_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
7220147100329
/
32000000000000
)
≤
-
(
15178961927162266424097
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_272_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
7220147100329
/
32000000000000
)
≤
-
(
1528992080473304163929
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_272_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
7220147100329
/
32000000000000
)
≤
-
(
3879234308300097326093
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_272_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
7220147100329
/
32000000000000
)
≤
-
(
15910209608740880248149
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_272_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
7220147100329
/
32000000000000
)
≤
-
(
16553721866754159805869
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_272_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
7220147100329
/
32000000000000
)
≤
-
(
54985262327256662747
/
31250000000000000000
)
source
theorem
Zeta5Irrational
.
U_272_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
7220147100329
/
32000000000000
)
≤
-
(
19355780207743348837579
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_272_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
7220147100329
/
32000000000000
)
≤
-
(
23059818675209941582027
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_272_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
7220147100329
/
32000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_272_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
7220147100329
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_272_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
7220147100329
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_272_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
7220147100329
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_272_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
7220147100329
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_272_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
7220147100329
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_272_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
7220147100329
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_272_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
7220147100329
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_272
:
Uρ
(
7220147100329
/
32000000000000
)
≤
-
(
9314521594811334388811
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_273_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
2894882863549
/
12800000000000
)
≤
-
(
15154666117466165170289
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_273_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
2894882863549
/
12800000000000
)
≤
-
(
3816337384657765063509
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_273_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
2894882863549
/
12800000000000
)
≤
-
(
7745893749807219680829
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_273_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
2894882863549
/
12800000000000
)
≤
-
(
15884007724381241620549
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_273_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
2894882863549
/
12800000000000
)
≤
-
(
4131411845769879803169
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_273_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
2894882863549
/
12800000000000
)
≤
-
(
4390926964309566989123
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_273_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
2894882863549
/
12800000000000
)
≤
-
(
9658240508237714690711
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_273_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
2894882863549
/
12800000000000
)
≤
-
(
22988542356000148652769
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_273_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
2894882863549
/
12800000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_273_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
2894882863549
/
12800000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_273_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
2894882863549
/
12800000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_273_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
2894882863549
/
12800000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_273_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
2894882863549
/
12800000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_273_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
2894882863549
/
12800000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_273_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
2894882863549
/
12800000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_273_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
2894882863549
/
12800000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_273
:
Uρ
(
2894882863549
/
12800000000000
)
≤
-
(
9305697337325464503709
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_274_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
906783402177
/
4000000000000
)
≤
-
(
15130429197303497441467
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_274_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
906783402177
/
4000000000000
)
≤
-
(
15240838526292947970749
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_274_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
906783402177
/
4000000000000
)
≤
-
(
3866675240390775093581
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_274_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
906783402177
/
4000000000000
)
≤
-
(
15857874659838571656279
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_274_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
906783402177
/
4000000000000
)
≤
-
(
6444395563387845643
/
3906250000000000000
)
source
theorem
Zeta5Irrational
.
U_274_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
906783402177
/
4000000000000
)
≤
-
(
17532235324295299403419
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_274_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
906783402177
/
4000000000000
)
≤
-
(
4819338956257651832129
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_274_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
906783402177
/
4000000000000
)
≤
-
(
11459051748918678550413
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_274_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
906783402177
/
4000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_274_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
906783402177
/
4000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_274_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
906783402177
/
4000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_274_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
906783402177
/
4000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_274_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
906783402177
/
4000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_274_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
906783402177
/
4000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_274_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
906783402177
/
4000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_274_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
906783402177
/
4000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_274
:
Uρ
(
906783402177
/
4000000000000
)
≤
-
(
9296928869868299308561
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_275_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
14542654551919
/
64000000000000
)
≤
-
(
15106250881866031193979
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_275_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
14542654551919
/
64000000000000
)
≤
-
(
15216387472800909762541
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_275_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
14542654551919
/
64000000000000
)
≤
-
(
15441677301735706487299
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_275_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
14542654551919
/
64000000000000
)
≤
-
(
633272402110040347591
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_275_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
14542654551919
/
64000000000000
)
≤
-
(
8234868593102955975117
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_275_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
14542654551919
/
64000000000000
)
≤
-
(
17500865642401456087003
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_275_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
14542654551919
/
64000000000000
)
≤
-
(
384768058671075131277
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_275_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
14542654551919
/
64000000000000
)
≤
-
(
22848476633536171818119
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_275_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
14542654551919
/
64000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_275_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
14542654551919
/
64000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_275_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
14542654551919
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_275_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
14542654551919
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_275_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
14542654551919
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_275_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
14542654551919
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_275_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
14542654551919
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_275_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
14542654551919
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_275
:
Uρ
(
14542654551919
/
64000000000000
)
≤
-
(
290256716498770197431
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_276_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
7288387334503
/
32000000000000
)
≤
-
(
1508213088840681581873
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_276_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
7288387334503
/
32000000000000
)
≤
-
(
15191996085398068846649
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_276_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
7288387334503
/
32000000000000
)
≤
-
(
3854179051302327034767
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_276_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
7288387334503
/
32000000000000
)
≤
-
(
1975726692953131972251
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_276_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
7288387334503
/
32000000000000
)
≤
-
(
328838011214802240827
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_276_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
7288387334503
/
32000000000000
)
≤
-
(
17469598115456413670451
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_276_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
7288387334503
/
32000000000000
)
≤
-
(
3839924133780546951883
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_276_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
7288387334503
/
32000000000000
)
≤
-
(
2277963757593818057009
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_276_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
7288387334503
/
32000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_276_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
7288387334503
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_276_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
7288387334503
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_276_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
7288387334503
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_276_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
7288387334503
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_276_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
7288387334503
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_276_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
7288387334503
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_276_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
7288387334503
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_276
:
Uρ
(
7288387334503
/
32000000000000
)
≤
-
(
4639777152719005169681
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_277_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
732250745159
/
3200000000000
)
≤
-
(
15034064746622953868251
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_277_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
732250745159
/
3200000000000
)
≤
-
(
3028678229702195023461
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_277_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
732250745159
/
3200000000000
)
≤
-
(
384174511354075211361
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_277_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
732250745159
/
3200000000000
)
≤
-
(
7877011697722102677853
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_277_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
732250745159
/
3200000000000
)
≤
-
(
4096615501181864826651
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_277_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
732250745159
/
3200000000000
)
≤
-
(
870368338916667326583
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_277_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
732250745159
/
3200000000000
)
≤
-
(
9561280728788798957347
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_277_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
732250745159
/
3200000000000
)
≤
-
(
11322116003695119553231
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_277_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
732250745159
/
3200000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_277_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
732250745159
/
3200000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_277_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
732250745159
/
3200000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_277_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
732250745159
/
3200000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_277_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
732250745159
/
3200000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_277_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
732250745159
/
3200000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_277_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
732250745159
/
3200000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_277_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
732250745159
/
3200000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_277
:
Uρ
(
732250745159
/
3200000000000
)
≤
-
(
4631194231033519735309
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_278_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
7356627568677
/
32000000000000
)
≤
-
(
14986228550453869444753
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_278_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
7356627568677
/
32000000000000
)
≤
-
(
7547510708000491888651
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_278_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
7356627568677
/
32000000000000
)
≤
-
(
7658745617946492467501
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_278_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
7356627568677
/
32000000000000
)
≤
-
(
3140500279114518294383
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_278_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
7356627568677
/
32000000000000
)
≤
-
(
16331333419163968740737
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_278_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
7356627568677
/
32000000000000
)
≤
-
(
17345535887965030851513
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_278_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
7356627568677
/
32000000000000
)
≤
-
(
761846612733371790459
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_278_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
7356627568677
/
32000000000000
)
≤
-
(
4502343141899525609949
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_278_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
7356627568677
/
32000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_278_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
7356627568677
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_278_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
7356627568677
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_278_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
7356627568677
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_278_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
7356627568677
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_278_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
7356627568677
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_278_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
7356627568677
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_278_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
7356627568677
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_278
:
Uρ
(
7356627568677
/
32000000000000
)
≤
-
(
2311355678676694845457
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_279_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
1847686921441
/
8000000000000
)
≤
-
(
746931005506826067739
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_279_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
1847686921441
/
8000000000000
)
≤
-
(
150468846214901381899
/
100000000000000000000
)
source
theorem
Zeta5Irrational
.
U_279_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
1847686921441
/
8000000000000
)
≤
-
(
7634123057285258519997
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_279_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
1847686921441
/
8000000000000
)
≤
-
(
3130248953656063937241
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_279_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
1847686921441
/
8000000000000
)
≤
-
(
16276511309893494333811
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_279_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
1847686921441
/
8000000000000
)
≤
-
(
17284100131055428922333
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_279_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
1847686921441
/
8000000000000
)
≤
-
(
9485209885025233626713
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_279_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
1847686921441
/
8000000000000
)
≤
-
(
11190966569279896228593
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_279_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
1847686921441
/
8000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_279_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
1847686921441
/
8000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_279_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
1847686921441
/
8000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_279_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
1847686921441
/
8000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_279_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
1847686921441
/
8000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_279_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
1847686921441
/
8000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_279_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
1847686921441
/
8000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_279_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
1847686921441
/
8000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_279
:
Uρ
(
1847686921441
/
8000000000000
)
≤
-
(
1153581143868500307221
/
625000000000000000000
)