prumetalrates<-c(0.003625,0.001849,0.003751,0.000905,0.008564,0.001607,0.0045,0.002778,0.002296,0.001936,0.003313,0.001755,0.001608,0.004328,0.005648,0.007386,0.008541,0.002249,0.003393,0.006105,0.002922,0.001398,0.0036,0.002565,0.002942,0.001727,0.000486,0.002879,0.005633,0.003047,0.001261,0.000308,0.001115,0.000152,0.003279,0.00061,0.00091,0,0,0,0,0,0,0,0,0,0,0.002029,0.005329,0.00123,0.000299,0.000299,0.001884,0.000449,0,0,0.000754,0.000601,0.001374,0,0,0,0.000603,0.001064,0,0.000149,0,0.000149,0,0.000299,0,0,0,0.003082,0.000602,0,0,0,0,0,0,0,0.000149,0,0,0,0,0,0.000449,0,0,0.000298,0,0,0,0,0,0.002452,0,0,0,0,0,0,0,0,0.000753,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.003069,0,0,0.000149,0,0,0.00523,0,0,0,0,0,0.000148,0,0,0.000149,0,0,0,0,0,0.002025,0,0,0.001069,0,0,0,0,0,0.003202,0,0,0.000149,0,0,0.003751,0,0,0.000149,0,0,0,0,0,0.004066,0,0,0,0,0,0,0,0,0,0,0,0.003314,0,0,0.00204,0,0,0.000149,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.000753,0,0,0.004361,0,0,0,0,0,0,0,0,0.00332,0,0,0.000149,0,0,0.002373,0,0,0,0,0,0,0,0,0.000298,0,0,0,0,0,0,0,0,0.000454,0,0,0.000149,0,0,0,0,0,0,0.000149,0.00354,0.000148,0,0,0.010067,0.000298,0.000758,0.005371,0.000149,0,0.006767,0.000449,0,0.002749,0,0,0.002362,0.000148,0,0.000599,0,0,0.005229,0,0,0.001382,0.000149,0,0.006026,0,0,0,0.0006,0,0.004541,0,0,0.00309,0,0,0.000299,0.000298,0.00045,0.003799,0.000149,0,0,0,0,0.00138,0.000149,0,0.000148,0,0,0,0,0,0.001216,0.00045,0,0.000601,0,0,0.00106,0,0,0.000909,0.000149,0,0.001382,0.000299,0,0.000149,0,0.000149,0.000598,0,0,0.000149,0,0,0.004307,0,0,0.005981,0.000921,0,0,0.002166,0.000149,0.0006,0.001063,0,0,0,0,0.005362,0,0,0.000756,0,0,0.006261,0,0,0.000298,0,0,0.001385,0,0,0.002526,0,0,0.005832,0,0,0.000754,0,0,0.001697,0,0,0.004422,0,0,0.000601,0.000149,0,0.004866,0,0.000597,0.001842,0.000445,0.000445,0.002165,0.000597,0,0.00352,0,0,0.008113,0,0,0.000147,0.000296,0,0.004538,0,0,0.004259,0.000147,0,0.003,0,0,0.001379,0,0,0.005581,0.000297,0,0.006862,0,0,0.002889,0,0,0.00483,0.000295,0,0.000148,0,0,0.000446,0.000147,0,0.004122,0,0,0.004452,0,0,0.005838,0,0,0.000446,0,0,0.003055,0,0,0.000902,0,0,0.000907,0,0,0.000902,0,0,0.005551,0,0,0.006388,0,0,0.003204,0.000748,0,0.008968,0,0,0.001063,0,0,0.000448,0.001371,0,0.001369,0,0,0.001845,0,0,0.001382,0.000148,0,0.000298,0.000448,0,0.001368,0,0,0.004857,0,0,0.000598,0,0,0.007005,0,0,0.003347,0.000148,0,0.000752,0,0,0.000447,0,0,0.000904,0.000148,0.000148,0.003213,0,0,0.000148,0,0,0.001058,0.000148,0.000148,0.000901,0,0,0.000297,0.000904,0,0.001847,0.000296,0.001536,0.004201,0,0,0.002024,0.000598,0,0.004473,0,0,0,0,0,0.003008,0,0,0.007377,0,0,0.000447,0,0,0.001684,0.000148,0,0.008564,0.000148,0,0.0006,0,0,0.000447,0,0,0.006367,0,0,0.00752,0.000148,0,0.004045,0,0,0.003545,0.000148,0,0.002174,0.000148,0,0.000602,0,0,0.003172,0.000148,0,0.006306,0,0,0.001099,0.000148,0,0.000297,0,0,0,0,0,0,0.000148,0.001681,0,0,0,0.000149,0.000749,0.000446,0.003344,0.005618,0,0.003844,0.002019,0,0.00571,0.000148,0.000296,0.002185,0,0,0.000297,0,0,0.000148,0,0,0.00235,0,0,0.003939,0,0,0.002494,0.000903,0.000148,0.000148,0.00121,0.000297,0,0,0,0.000297,0,0,0.003342,0,0.000301,0.000148,0.000148,0,0.000597,0,0,0.000446,0,0,0.000148,0,0,0.000148,0,0,0,0.000297,0,0.001695,0,0,0.000903,0.000148,0.000596,0.000597,0.000148,0,0,0.000148,0.00121,0.000148,0,0,0.004556,0,0,0.000148,0.001055,0,0,0,0,0.004167,0,0,0.005496,0,0,0.000447,0,0,0.00306,0,0,0,0,0,0.002009,0,0,0,0,0,0.004244,0,0,0.000296,0,0,0.004257,0,0,0.004975,0,0,0,0,0,0.005247,0,0,0.000148,0,0,0.005994,0,0,0.002536,0,0,0,0,0,0.000445,0,0,0.000297,0,0,0.003875,0,0,0.003717,0,0,0,0,0,0.00469,0,0,0.00384,0,0,0.004432,0,0,0.000448,0,0,0.000148,0,0,0.000597,0,0,0.007375,0,0,0.004623,0,0.000297,0.004086,0,0,0.000447,0,0,0.006814,0,0,0.000296,0.000447,0,0.000148,0,0,0,0,0,0.000597,0.001527,0.000598,0.00635,0,0,0.001059,0,0,0.0036,0,0,0.001264,0.000749,0.000148,0.000296,0,0,0.002011,0,0.00075,0.003918,0.001074,0.001743,0.006208,0,0,0.000148,0.001215,0.001214,0,0,0,0.000597,0.001526,0.000148,0.002846,0,0,0.003729,0.000148,0.000148,0.002002,0.000297,0.000148,0.001054,0.000447,0.000148,0,0.000297,0,0.000597,0.000446,0,0.004058,0,0.000148,0.000447,0.000148,0,0.003059,0.000297,0.000448,0.005713,0.000297,0.000298,0.003015,0.000298,0,0.001075,0.001391,0.001545,0.000755,0,0.000752,0.000298,0.000904,0.0017,0.000454,0.0017,0.000299,0.003965,0.000298,0.000148,0.003452,0,0,0.000297,0.000298,0,0.000448,0,0,0.002361,0,0,0.000148,0,0,0.00045,0,0,0.002347,0,0,0.001531,0,0,0,0,0,0.000148,0,0,0.000149,0,0,0,0,0,0.002527,0,0,0.000751,0,0,0.000599,0,0,0.005062,0,0,0.003272,0,0,0.000148,0,0,0.000149,0.001059,0,0.000599,0.000148,0,0.003979,0,0,0.005564,0.002382,0.000148,0,0.001708,0,0.003646,0,0,0.003232,0,0,0.001847,0,0,0.00542,0,0.000298,0.0006,0,0,0,0,0,0.003358,0,0,0.001531,0,0,0.000298,0,0,0.0046,0,0,0.00303,0,0,0,0,0,0.000447,0,0,0.002973,0,0,0.003239,0,0,0.000148,0,0,0.005638,0,0,0.001062,0,0,0.000904,0,0,0.001217,0,0,0.000905,0,0,0.000148,0,0,0.000753,0,0,0,0,0,0.000907,0,0,0,0,0,0.000298,0,0,0.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