<p>In this paper, for any rational prime <i>p</i> and for a fixed positive integer <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\nu _p\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>ν</mi> <mi>p</mi> </msub> </math></EquationSource> </InlineEquation>, we provide infinite families of number fields defined by sextinomials of the form <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(x^n+Ax^{n-1}+Bx^m+Cx^2+Dx+E\in \mathbbm {Z}[x]\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msup> <mi>x</mi> <mi>n</mi> </msup> <mo>+</mo> <mi>A</mi> <msup> <mi>x</mi> <mrow> <mi>n</mi> <mo>-</mo> <mn>1</mn> </mrow> </msup> <mo>+</mo> <mi>B</mi> <msup> <mi>x</mi> <mi>m</mi> </msup> <mo>+</mo> <mi>C</mi> <msup> <mi>x</mi> <mn>2</mn> </msup> <mo>+</mo> <mi>D</mi> <mi>x</mi> <mo>+</mo> <mi>E</mi> <mo>∈</mo> <mi mathvariant="double-struck">Z</mi> <mrow> <mo stretchy="false">[</mo> <mi>x</mi> <mo stretchy="false">]</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation> satisfying <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\nu _p(i(K))=\nu _p\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>ν</mi> <mi>p</mi> </msub> <mrow> <mo stretchy="false">(</mo> <mi>i</mi> <mrow> <mo stretchy="false">(</mo> <mi>K</mi> <mo stretchy="false">)</mo> </mrow> <mo stretchy="false">)</mo> </mrow> <mo>=</mo> <msub> <mi>ν</mi> <mi>p</mi> </msub> </mrow> </math></EquationSource> </InlineEquation>. We illustrate our results by some computational examples.</p>