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.
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.
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Zeta5Irrational
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U_40_1
Zeta5Irrational
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U_40_2
Zeta5Irrational
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U_40_3
Zeta5Irrational
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U_40_4
Zeta5Irrational
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U_40_5
Zeta5Irrational
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U_40_6
Zeta5Irrational
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U_40_7
Zeta5Irrational
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U_40_8
Zeta5Irrational
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U_40_9
Zeta5Irrational
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U_40_10
Zeta5Irrational
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U_40_11
Zeta5Irrational
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U_40_12
Zeta5Irrational
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U_40_13
Zeta5Irrational
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U_40_14
Zeta5Irrational
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U_40_15
Zeta5Irrational
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U_40_16
Zeta5Irrational
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U_40
Zeta5Irrational
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U_41_1
Zeta5Irrational
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U_41_2
Zeta5Irrational
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U_41_3
Zeta5Irrational
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U_41_4
Zeta5Irrational
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U_41_5
Zeta5Irrational
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U_41_6
Zeta5Irrational
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U_41_7
Zeta5Irrational
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U_41_8
Zeta5Irrational
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U_41_9
Zeta5Irrational
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U_41_10
Zeta5Irrational
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U_41_11
Zeta5Irrational
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U_41_12
Zeta5Irrational
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U_41_13
Zeta5Irrational
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U_41_14
Zeta5Irrational
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U_41_15
Zeta5Irrational
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U_41_16
Zeta5Irrational
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U_41
Zeta5Irrational
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U_42_1
Zeta5Irrational
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U_42_2
Zeta5Irrational
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U_42_3
Zeta5Irrational
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U_42_4
Zeta5Irrational
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U_42_5
Zeta5Irrational
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U_42_6
Zeta5Irrational
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U_42_7
Zeta5Irrational
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U_42_8
Zeta5Irrational
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U_42_9
Zeta5Irrational
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U_42_10
Zeta5Irrational
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U_42_11
Zeta5Irrational
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U_42_12
Zeta5Irrational
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U_42_13
Zeta5Irrational
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U_42_14
Zeta5Irrational
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U_42_15
Zeta5Irrational
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U_42_16
Zeta5Irrational
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U_42
Zeta5Irrational
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U_43_1
Zeta5Irrational
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U_43_2
Zeta5Irrational
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U_43_3
Zeta5Irrational
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U_43_4
Zeta5Irrational
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U_43_5
Zeta5Irrational
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U_43_6
Zeta5Irrational
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U_43_7
Zeta5Irrational
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U_43_8
Zeta5Irrational
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U_43_9
Zeta5Irrational
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U_43_10
Zeta5Irrational
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U_43_11
Zeta5Irrational
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U_43_12
Zeta5Irrational
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U_43_13
Zeta5Irrational
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U_43_14
Zeta5Irrational
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U_43_15
Zeta5Irrational
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U_43_16
Zeta5Irrational
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U_43
Zeta5Irrational
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U_44_1
Zeta5Irrational
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U_44_2
Zeta5Irrational
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U_44_3
Zeta5Irrational
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U_44_4
Zeta5Irrational
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U_44_5
Zeta5Irrational
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U_44_6
Zeta5Irrational
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U_44_7
Zeta5Irrational
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U_44_8
Zeta5Irrational
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U_44_9
Zeta5Irrational
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U_44_10
Zeta5Irrational
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U_44_11
Zeta5Irrational
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U_44_12
Zeta5Irrational
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U_44_13
Zeta5Irrational
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U_44_14
Zeta5Irrational
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U_44_15
Zeta5Irrational
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U_44_16
Zeta5Irrational
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U_44
Zeta5Irrational
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U_45_1
Zeta5Irrational
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U_45_2
Zeta5Irrational
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U_45_3
Zeta5Irrational
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U_45_4
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U_45_5
Zeta5Irrational
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U_45_6
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U_45_7
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U_45_8
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U_45_9
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U_45_10
Zeta5Irrational
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U_45_11
Zeta5Irrational
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U_45_12
Zeta5Irrational
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U_45_13
Zeta5Irrational
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U_45_14
Zeta5Irrational
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U_45_15
Zeta5Irrational
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U_45_16
Zeta5Irrational
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U_45
Zeta5Irrational
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U_46_1
Zeta5Irrational
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U_46_2
Zeta5Irrational
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U_46_3
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U_46_4
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U_46_5
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U_46_6
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U_46_7
Zeta5Irrational
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U_46_8
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U_46_9
Zeta5Irrational
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U_46_10
Zeta5Irrational
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U_46_11
Zeta5Irrational
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U_46_12
Zeta5Irrational
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U_46_13
Zeta5Irrational
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U_46_14
Zeta5Irrational
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U_46_15
Zeta5Irrational
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U_46_16
Zeta5Irrational
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U_46
Zeta5Irrational
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U_47_1
Zeta5Irrational
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U_47_2
Zeta5Irrational
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U_47_3
Zeta5Irrational
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U_47_4
Zeta5Irrational
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U_47_5
Zeta5Irrational
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U_47_6
Zeta5Irrational
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U_47_7
Zeta5Irrational
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U_47_8
Zeta5Irrational
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U_47_9
Zeta5Irrational
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U_47_10
Zeta5Irrational
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U_47_11
Zeta5Irrational
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U_47_12
Zeta5Irrational
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U_47_13
Zeta5Irrational
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U_47_14
Zeta5Irrational
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U_47_15
Zeta5Irrational
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U_47_16
Zeta5Irrational
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U_47
Zeta5Irrational
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U_48_1
Zeta5Irrational
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U_48_2
Zeta5Irrational
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U_48_3
Zeta5Irrational
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U_48_4
Zeta5Irrational
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U_48_5
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U_48_6
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U_48_7
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U_48_8
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U_48_9
Zeta5Irrational
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U_48_10
Zeta5Irrational
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U_48_11
Zeta5Irrational
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U_48_12
Zeta5Irrational
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U_48_13
Zeta5Irrational
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U_48_14
Zeta5Irrational
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U_48_15
Zeta5Irrational
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U_48_16
Zeta5Irrational
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U_48
Zeta5Irrational
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U_49_1
Zeta5Irrational
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U_49_2
Zeta5Irrational
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U_49_3
Zeta5Irrational
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U_49_4
Zeta5Irrational
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U_49_5
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U_49_6
Zeta5Irrational
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U_49_7
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U_49_8
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U_49_9
Zeta5Irrational
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U_49_10
Zeta5Irrational
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U_49_11
Zeta5Irrational
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U_49_12
Zeta5Irrational
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U_49_13
Zeta5Irrational
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U_49_14
Zeta5Irrational
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U_49_15
Zeta5Irrational
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U_49_16
Zeta5Irrational
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U_49
Zeta5Irrational
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U_50_1
Zeta5Irrational
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U_50_2
Zeta5Irrational
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U_50_3
Zeta5Irrational
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U_50_4
Zeta5Irrational
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U_50_5
Zeta5Irrational
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U_50_6
Zeta5Irrational
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U_50_7
Zeta5Irrational
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U_50_8
Zeta5Irrational
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U_50_9
Zeta5Irrational
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U_50_10
Zeta5Irrational
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U_50_11
Zeta5Irrational
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U_50_12
Zeta5Irrational
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U_50_13
Zeta5Irrational
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U_50_14
Zeta5Irrational
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U_50_15
Zeta5Irrational
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U_50_16
Zeta5Irrational
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U_50
Zeta5Irrational
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U_51_1
Zeta5Irrational
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U_51_2
Zeta5Irrational
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U_51_3
Zeta5Irrational
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U_51_4
Zeta5Irrational
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U_51_5
Zeta5Irrational
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U_51_6
Zeta5Irrational
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U_51_7
Zeta5Irrational
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U_51_8
Zeta5Irrational
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U_51_9
Zeta5Irrational
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U_51_10
Zeta5Irrational
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U_51_11
Zeta5Irrational
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U_51_12
Zeta5Irrational
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U_51_13
Zeta5Irrational
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U_51_14
Zeta5Irrational
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U_51_15
Zeta5Irrational
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U_51_16
Zeta5Irrational
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U_51
Certified arcsine potential bounds (U03)
#
source
theorem
Zeta5Irrational
.
U_40_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
3068199571
/
200000000000
)
≤
-
(
47437922514341080202681
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_40_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
3068199571
/
200000000000
)
≤
-
(
57268912150832389796717
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_40_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
3068199571
/
200000000000
)
≤
-
(
25512130211755314637529
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_40_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
3068199571
/
200000000000
)
≤
-
(
11449496158609380585237
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_40_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
3068199571
/
200000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_40_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
3068199571
/
200000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_40_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
3068199571
/
200000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_40_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
3068199571
/
200000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_40_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
3068199571
/
200000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_40_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
3068199571
/
200000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_40_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
3068199571
/
200000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_40_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
3068199571
/
200000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_40_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
3068199571
/
200000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_40_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
3068199571
/
200000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_40_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
3068199571
/
200000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_40_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
3068199571
/
200000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_40
:
Uρ
(
3068199571
/
200000000000
)
≤
-
(
28480811898748750448173
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_41_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
255845148549
/
16000000000000
)
≤
-
(
23352264455452045399363
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_41_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
255845148549
/
16000000000000
)
≤
-
(
2113612623409580587049
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_41_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
255845148549
/
16000000000000
)
≤
-
(
25512130211755314637529
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_41_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
255845148549
/
16000000000000
)
≤
-
(
11449496158609380585237
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_41_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
255845148549
/
16000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_41_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
255845148549
/
16000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_41_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
255845148549
/
16000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_41_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
255845148549
/
16000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_41_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
255845148549
/
16000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_41_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
255845148549
/
16000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_41_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
255845148549
/
16000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_41_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
255845148549
/
16000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_41_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
255845148549
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_41_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
255845148549
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_41_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
255845148549
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_41_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
255845148549
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_41
:
Uρ
(
255845148549
/
16000000000000
)
≤
-
(
14171290695500939233193
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_42_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
133117165709
/
8000000000000
)
≤
-
(
23011512008219083613497
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_42_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
133117165709
/
8000000000000
)
≤
-
(
51055078142581221338421
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_42_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
133117165709
/
8000000000000
)
≤
-
(
25512130211755314637529
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_42_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
133117165709
/
8000000000000
)
≤
-
(
11449496158609380585237
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_42_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
133117165709
/
8000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_42_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
133117165709
/
8000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_42_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
133117165709
/
8000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_42_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
133117165709
/
8000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_42_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
133117165709
/
8000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_42_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
133117165709
/
8000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_42_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
133117165709
/
8000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_42_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
133117165709
/
8000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_42_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
133117165709
/
8000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_42_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
133117165709
/
8000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_42_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
133117165709
/
8000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_42_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
133117165709
/
8000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_42
:
Uρ
(
133117165709
/
8000000000000
)
≤
-
(
14141400455464355101593
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_43_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
108571569141
/
6400000000000
)
≤
-
(
22849732727431537692483
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_43_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
108571569141
/
6400000000000
)
≤
-
(
5034826491214142248959
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_43_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
108571569141
/
6400000000000
)
≤
-
(
25512130211755314637529
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_43_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
108571569141
/
6400000000000
)
≤
-
(
11449496158609380585237
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_43_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
108571569141
/
6400000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_43_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
108571569141
/
6400000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_43_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
108571569141
/
6400000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_43_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
108571569141
/
6400000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_43_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
108571569141
/
6400000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_43_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
108571569141
/
6400000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_43_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
108571569141
/
6400000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_43_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
108571569141
/
6400000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_43_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
108571569141
/
6400000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_43_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
108571569141
/
6400000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_43_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
108571569141
/
6400000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_43_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
108571569141
/
6400000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_43
:
Uρ
(
108571569141
/
6400000000000
)
≤
-
(
5651713497111691966977
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_44_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
276623514287
/
16000000000000
)
≤
-
(
45386349211403757950859
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_44_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
276623514287
/
16000000000000
)
≤
-
(
49716311348467284244491
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_44_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
276623514287
/
16000000000000
)
≤
-
(
25512130211755314637529
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_44_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
276623514287
/
16000000000000
)
≤
-
(
11449496158609380585237
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_44_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
276623514287
/
16000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_44_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
276623514287
/
16000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_44_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
276623514287
/
16000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_44_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
276623514287
/
16000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_44_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
276623514287
/
16000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_44_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
276623514287
/
16000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_44_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
276623514287
/
16000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_44_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
276623514287
/
16000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_44_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
276623514287
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_44_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
276623514287
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_44_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
276623514287
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_44_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
276623514287
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_44
:
Uρ
(
276623514287
/
16000000000000
)
≤
-
(
14118325055929443477217
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_45_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
563636211443
/
32000000000000
)
≤
-
(
45083004919660055486503
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_45_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
563636211443
/
32000000000000
)
≤
-
(
9828288768212480750473
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_45_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
563636211443
/
32000000000000
)
≤
-
(
25512130211755314637529
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_45_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
563636211443
/
32000000000000
)
≤
-
(
11449496158609380585237
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_45_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
563636211443
/
32000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_45_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
563636211443
/
32000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_45_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
563636211443
/
32000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_45_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
563636211443
/
32000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_45_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
563636211443
/
32000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_45_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
563636211443
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_45_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
563636211443
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_45_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
563636211443
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_45_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
563636211443
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_45_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
563636211443
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_45_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
563636211443
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_45_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
563636211443
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_45
:
Uρ
(
563636211443
/
32000000000000
)
≤
-
(
28216517921339449947509
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_46_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
71753174289
/
4000000000000
)
≤
-
(
44788826203166347861371
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_46_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
71753174289
/
4000000000000
)
≤
-
(
24306011407961759067497
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_46_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
71753174289
/
4000000000000
)
≤
-
(
25512130211755314637529
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_46_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
71753174289
/
4000000000000
)
≤
-
(
11449496158609380585237
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_46_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
71753174289
/
4000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_46_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
71753174289
/
4000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_46_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
71753174289
/
4000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_46_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
71753174289
/
4000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_46_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
71753174289
/
4000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_46_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
71753174289
/
4000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_46_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
71753174289
/
4000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_46_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
71753174289
/
4000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_46_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
71753174289
/
4000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_46_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
71753174289
/
4000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_46_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
71753174289
/
4000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_46_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
71753174289
/
4000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_46
:
Uρ
(
71753174289
/
4000000000000
)
≤
-
(
1762363843694816057143
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_47_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
584414577181
/
32000000000000
)
≤
-
(
4450326262908179514767
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_47_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
584414577181
/
32000000000000
)
≤
-
(
48119922953915799270603
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_47_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
584414577181
/
32000000000000
)
≤
-
(
25512130211755314637529
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_47_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
584414577181
/
32000000000000
)
≤
-
(
11449496158609380585237
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_47_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
584414577181
/
32000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_47_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
584414577181
/
32000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_47_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
584414577181
/
32000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_47_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
584414577181
/
32000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_47_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
584414577181
/
32000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_47_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
584414577181
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_47_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
584414577181
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_47_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
584414577181
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_47_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
584414577181
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_47_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
584414577181
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_47_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
584414577181
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_47_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
584414577181
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_47
:
Uρ
(
584414577181
/
32000000000000
)
≤
-
(
14090157794893601635931
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_48_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
11896075201
/
640000000000
)
≤
-
(
44225812907642607522863
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_48_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
11896075201
/
640000000000
)
≤
-
(
47659199379596186942369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_48_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
11896075201
/
640000000000
)
≤
-
(
25512130211755314637529
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_48_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
11896075201
/
640000000000
)
≤
-
(
11449496158609380585237
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_48_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
11896075201
/
640000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_48_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
11896075201
/
640000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_48_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
11896075201
/
640000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_48_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
11896075201
/
640000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_48_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
11896075201
/
640000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_48_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
11896075201
/
640000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_48_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
11896075201
/
640000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_48_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
11896075201
/
640000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_48_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
11896075201
/
640000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_48_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
11896075201
/
640000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_48_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
11896075201
/
640000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_48_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
11896075201
/
640000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_48
:
Uρ
(
11896075201
/
640000000000
)
≤
-
(
28163819716178893923457
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_49_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
605192942919
/
32000000000000
)
≤
-
(
21978009554983345102107
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_49_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
605192942919
/
32000000000000
)
≤
-
(
47225342930112879030383
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_49_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
605192942919
/
32000000000000
)
≤
-
(
25512130211755314637529
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_49_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
605192942919
/
32000000000000
)
≤
-
(
11449496158609380585237
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_49_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
605192942919
/
32000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_49_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
605192942919
/
32000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_49_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
605192942919
/
32000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_49_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
605192942919
/
32000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_49_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
605192942919
/
32000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_49_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
605192942919
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_49_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
605192942919
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_49_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
605192942919
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_49_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
605192942919
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_49_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
605192942919
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_49_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
605192942919
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_49_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
605192942919
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_49
:
Uρ
(
605192942919
/
32000000000000
)
≤
-
(
28148196170031691353311
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_50_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
153895531447
/
8000000000000
)
≤
-
(
10923365431073482723193
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_50_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
153895531447
/
8000000000000
)
≤
-
(
182870446791635865959
/
39062500000000000000
)
source
theorem
Zeta5Irrational
.
U_50_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
153895531447
/
8000000000000
)
≤
-
(
25512130211755314637529
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_50_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
153895531447
/
8000000000000
)
≤
-
(
11449496158609380585237
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_50_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
153895531447
/
8000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_50_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
153895531447
/
8000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_50_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
153895531447
/
8000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_50_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
153895531447
/
8000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_50_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
153895531447
/
8000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_50_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
153895531447
/
8000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_50_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
153895531447
/
8000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_50_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
153895531447
/
8000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_50_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
153895531447
/
8000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_50_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
153895531447
/
8000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_50_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
153895531447
/
8000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_50_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
153895531447
/
8000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_50
:
Uρ
(
153895531447
/
8000000000000
)
≤
-
(
28133336822199640692941
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_51_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
318180245763
/
16000000000000
)
≤
-
(
21594272656989974022877
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_51_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
318180245763
/
16000000000000
)
≤
-
(
9210627822742137523341
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_51_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
318180245763
/
16000000000000
)
≤
-
(
25512130211755314637529
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_51_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
318180245763
/
16000000000000
)
≤
-
(
11449496158609380585237
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_51_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
318180245763
/
16000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_51_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
318180245763
/
16000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_51_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
318180245763
/
16000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_51_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
318180245763
/
16000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_51_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
318180245763
/
16000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_51_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
318180245763
/
16000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_51_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
318180245763
/
16000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_51_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
318180245763
/
16000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_51_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
318180245763
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_51_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
318180245763
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_51_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
318180245763
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_51_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
318180245763
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_51
:
Uρ
(
318180245763
/
16000000000000
)
≤
-
(
7026394710499350942541
/
2500000000000000000000
)