Here is an approximate transliteration of the prayer:
Aleinu le'shabeiach la'adon hakol,
lateit gedulah leyotzeir bereshit,
she'lo asanu ke'goyei ha'aratzot,
ve'lo samanu ke'mishpechot ha'adamah,
she'lo sam chelkeinu kahem,
ve'goraleinu ke'chol hamonam.
Va'anachnu korim, u'mishtachavim, u'modim,
lifnei melech, malchei ham'lachim,
hakadosh baruch Hu.
She'hu noteh shamayim, ve'yoseid aretz,
u'moshav yikaro bashamayim mi-ma'al,
u'sh'chinat u-zo be'gavhei me'romim.
Hu Eloheinu, ein od. Emet malkeinu, efes zulato.
Kakatuv be'torato, ve'yadata hayom, ve'hashevota Eil le'vavecha.
Ki Adonai, Hu ha-Elohim, bashamayim mi-ma'al,
ve'al ha'aretz mi-tachat. Ein od.
Kakatuv be'toratecha: "Adonai yimloch le'olam va'ed."
Ve'ne'emar: "Ve'haya Adonai le'melech al kol ha'aretz,
bayom hahu yihiyeh Adonai echad, u'shemo echad."