(a) A candidacy for nomination by a political party to a state office may be filed by or on behalf of any person whose name appears upon the last-completed enrollment list of such party in any municipality within the state and who has either (1) received at least fifteen per cent of the votes of the convention delegates present and voting on any roll-call vote taken on the endorsement or proposed endorsement of a candidate for such state office, whether or not the party-endorsed candidate for such office received a unanimous vote on the last ballot, or (2) circulated a petition and obtained the signatures of at least two per cent of the enrolled members of such party in the state, in accordance with the provisions of sections 9-404a to 9-404c, inclusive. Candidacies described in subdivision (1) of this subsection shall be filed by submitting to the Secretary of the State not later than four o’clock p.m. on the fourteenth day following the close of the state convention, a certificate, signed by such candidate and attested by either (A) the chairman or presiding officer, or (B) the secretary of the convention, that such candidate received at least fifteen per cent of such votes, and that such candidate consents to be a candidate in a primary of such party for such state office. Such certificate shall specify the candidate’s name as the candidate authorizes it to appear on the ballot, the candidate’s full residence address and the title of the office for which the candidacy is being filed. If such certificate for a state office is not received by the Secretary of the State by such time, such certificate shall be invalid and, for purposes of sections 9-416 and 9-416a, shall be deemed to have made no valid certification of nomination by a political party for such state office. A single such certificate or petition for state office may be filed on behalf of two or more candidates for different state offices who consent to have their names appear on a single row of the primary ballot under subsection (b) of § 9-437. Candidacies described in subdivision (2) of this subsection shall be filed by submitting said petition not later than four o’clock p.m. on the sixty-third day preceding the day of the primary for such office to the registrar of voters of the towns in which the respective petition pages were circulated. Each registrar shall file each page of such petition with the Secretary of the State in accordance with the provisions of § 9-404c. A petition filed by or on behalf of a candidate for state office shall be invalid for such candidate if such candidate is certified as the party-endorsed candidate pursuant to § 9-388 or as receiving at least fifteen per cent of the convention vote for such office pursuant to this subsection. Except as provided in § 9-416a, upon the expiration of the time period for party endorsement and circulation and tabulation of petitions and signatures, if any, if one or more candidacies for such state office have been filed pursuant to the provisions of this section, the Secretary of the State shall notify all town clerks and registrars of voters in accordance with the provisions of § 9-433, that a primary for such state office shall be held in each municipality in accordance with the provisions of § 9-415.

(b) A candidacy for nomination by a political party to a district office may be filed by or on behalf of any person whose name appears upon the last-completed enrollment list of such party within the district the person seeks to represent that is in the office of the Secretary of the State at the end of the last day prior to the convention for the party from which the person seeks nomination and who has either (1) received at least fifteen per cent of the votes of the convention delegates present and voting on any roll-call vote taken on the endorsement or proposed endorsement of a candidate for such district office, whether or not the party-endorsed candidate for such office received a unanimous vote on the last ballot, or (2) circulated a petition and obtained the signatures of at least two per cent of the enrolled members of such party in the district for the district office of representative in Congress, and at least five per cent of the enrolled members of such party in the district for the district offices of state senator, state representative and judge of probate, in accordance with the provisions of sections 9-404a to 9-404c, inclusive. Candidacies described in subdivision (1) of this subsection shall be filed by submitting to the Secretary of the State not later than four o’clock p.m. on the fourteenth day following the close of the district convention, a certificate, signed by such candidate and attested by either (A) the chairman or presiding officer, or (B) the secretary of the convention, that such candidate received at least fifteen per cent of such votes, and that the candidate consents to be a candidate in a primary of such party for such district office. Such certificate shall specify the candidate’s name as the candidate authorizes it to appear on the ballot, the candidate’s full residence address and the title and district of the office for which the candidacy is being filed. If such certificate for a district office is not received by the Secretary of the State by such time, such certificate shall be invalid and, for purposes of sections 9-416 and 9-416a, shall be deemed to have made no valid certification of nomination by a political party for such district office. Candidacies described in subdivision (2) of this subsection shall be filed by submitting said petition not later than four o’clock p.m. on the sixty-third day preceding the day of the primary for such office to the registrar of voters of the towns in which the respective petition pages were circulated. Each registrar shall file each page of such petition with the Secretary in accordance with the provisions of § 9-404c. A petition may only be filed by or on behalf of a candidate for the district office of state senator, state representative or judge of probate who is not certified as the party-endorsed candidate pursuant to § 9-388 or as receiving at least fifteen per cent of the convention vote for such office pursuant to this subsection. A petition filed by or on behalf of a candidate for the district office of representative in Congress shall be invalid if said candidate is certified as the party-endorsed candidate pursuant to § 9-388 or as receiving at least fifteen per cent of the convention vote for such office pursuant to this subsection. Except as provided in § 9-416a, upon the expiration of the time period for party endorsement and circulation and tabulation of petitions and signatures, if any, if one or more candidacies for such district office have been filed pursuant to the provisions of this section, the Secretary of the State shall notify all town clerks within the district, in accordance with the provisions of § 9-433, that a primary for such district office shall be held in each municipality and each part of a municipality within the district in accordance with the provisions of § 9-415.

(c) For the purposes of this section, the number of enrolled members of a party shall be determined by the latest enrollment records in the office of the Secretary of the State prior to the earliest date that primary petitions were available. The names of electors on the inactive registry list compiled under § 9-35 shall not be counted for purposes of computing the number of petition signatures required under this section, as provided in § 9-35c.

(d) On the last day for filing primary petition candidacies in accordance with the provisions of this section, the office or office facilities of the registrars of voters shall open not later than one o’clock p.m., and remain open until at least four o’clock p.m., and such registrars or the deputy or assistant registrars shall be present.