We report on a completely analytical calculation of the field anomalous dimension n id="mmlsi1" class="mathmlsrc">n class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0550321316000912&_mathId=si1.gif&_user=111111111&_pii=S0550321316000912&_rdoc=1&_issn=05503213&md5=77ad4a49e377ecf1c4b7b00db694dc6d" title="Click to view the MathML source">γb>φb>n>n class="mathContainer hidden">n class="mathCode">n>n>n> and the critical exponent η for the n id="mmlsi2" class="mathmlsrc">n class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0550321316000912&_mathId=si2.gif&_user=111111111&_pii=S0550321316000912&_rdoc=1&_issn=05503213&md5=d954687ced5216860dc11d909cd6da04" title="Click to view the MathML source">O(n)n>n class="mathContainer hidden">n class="mathCode">n>n>n>-symmetric n id="mmlsi3" class="mathmlsrc">n class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0550321316000912&_mathId=si3.gif&_user=111111111&_pii=S0550321316000912&_rdoc=1&_issn=05503213&md5=70f91617c1ac7822ba233fabd98bf790" title="Click to view the MathML source">φ4n>n class="mathContainer hidden">n class="mathCode">n>n>n> model at the record six loop level. We successfully compare our result for n id="mmlsi1" class="mathmlsrc">n class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0550321316000912&_mathId=si1.gif&_user=111111111&_pii=S0550321316000912&_rdoc=1&_issn=05503213&md5=77ad4a49e377ecf1c4b7b00db694dc6d" title="Click to view the MathML source">γb>φb>n>n class="mathContainer hidden">n class="mathCode">n>n>n> with n id="mmlsi4" class="mathmlsrc">n class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0550321316000912&_mathId=si4.gif&_user=111111111&_pii=S0550321316000912&_rdoc=1&_issn=05503213&md5=4c5788e2e639e24bdc90f6f09abac270" title="Click to view the MathML source">n=1n>n class="mathContainer hidden">n class="mathCode">n>n>n> with the predictions based on the method of the Borel resummation combined with a conformal mapping (Kazakov et al., 1979 n id="bbr0400">[40]n>). Predictions for seven loop contribution to the field anomalous dimensions are given.