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There were 366 / 2 = 183 days from April 25 (115) to October 25 (298):

Jan 25 (25) - July 25 (206) 181
Febr 25 (56) - Aug 25 (237) 181
March 25 (84) - Sept 25 (268) 184
April 25 (115) - Oct 25 (298) 183
May 25 (145) - Nov 25 (329) 184
June 25 (176) - Dec 25 (359) 183
July 25 (206) - Jan 25 (390) 184
Aug 25 (237) - Febr 25 (421) 184
Sept 25 (268) - March 25 (449) 181
Oct 25 (298) - April 25 (480) 182
Nov 25 (329) - May 25 (510) 181
Dec 25 (359) - June 25 (541) 182

And likewise there were 183 days from June 25 (115 + 61) to December 25 (298 + 61).

April 25 (115)

60

June 25 (176)

121

Oct 25 (298)

60 Dec 25 (359) 6 + 114

183

182

365

From Christmas Day (359) to January 1 there were 6 (= 366 - 359) days, which number could have been alluded to when the creators of Manuscript E stated that the Royal Double Canoe needed 6 moega (sleeping mats) nights for loading the necessary goods before the Sea journey could begin.

... For six days (po ono), mats (moenga) were taken on board the canoe (i.e., the loading of the canoe took six days) ... (E:74) ... etahi poō no. o te moenga. i too ai ki runga ki te miro ...

Moe. To sleep, to lie at full length, to dream, to brood, to place, to cohabit; moe atu, to leave off, to desist; moe atu ra, to adjourn, to postpone; moe hakahepo, to talk in the deep; moe aherepo, somnambulist, sleepwalker; moe hakataha, to sleep on the side; moe no, to oversleep, concubinage; moe tahae, to be a light sleeper; moe tahaga, a sleeper; moe vaeahatu, moe hakaroa, to sleep sprawling; rava moe, to sleep sound; ariga moe ki raro, to lie flat on the ground; tae moe, bachelor; hakamoe, to brood, to fold the wings; to reserve, to lay up; to struggle. P Pau.: moe, sleep. Mgv.: moe, sleep, to lie down, coitus, to shut the eyes. Mq.: moe, to sleep, to lie down; haámoe, to set down on the ground. Ta.: moe, to sleep, to lie down. Moea raruga, lying flat. Moeaivi, thin. Mq.: ivi, haáivi, id. Ta.: ivi, id. Moega, mat. Pau.: moehega, bed. Mgv.: moega, a sleeping mat. Mq.: moena, moeka, mat, floor cloth, bed. Ta.: moea, bed. Moemata, to sleep with the eyes open; mea moemata, phantom. Moemoea, a dream, vision; tikeahaga moemoea, apparition by night. T Mgv., Mq., Ta.: moemoea, dream. Churchill. Mgv. Moemoe, to steal, to purloin at a food distribution. Mq.: moemoe, to seize, to grasp. Churchill. Ta.: 1.  Moemoe, ambush. Ha.: moemoe, id. 2. Moemoe, Phyllanthus simplex. To.: mohemohe, a tree. Churchill. Mq.: Moehu, exiled, banished, prisoner of war. Ma.: morehu, a survivor. Churchill.

Presumably the distance from April 25 (115) to June 25 (176), viz. 61 days, was reflected (so to say) not only in the distance from October 25 (298) to December 25 (359) but also in the distance from the beginning of the year to March 1.

But let's take only one step at a time in order to avoid stumbling immediately. A kind of mirror reflection is suggested by the fact that the pair April - May carries 30 + 31 days whereas October - November has 31 + 30 days:

January 31 31 59 (60)
February 28 (29) 59 (60)
March 31 90 (91)  153
April 25 115 (116)
30 61 120
May 31 151
June 25 176
30 181 (182)
July 31 212
August 31 243 153
September 30 273 (274)
October 25 298 (299)
31 61 304
November 30 334
December 25 359 (360)
31 365 (366)

Thus a 'mirror' seems to have been placed between July and August. And maybe this structure was a slight adaptation of an earlier one:

... There came in reply a second message from the oracle - 'for this very reason is thy life brought so quickly to a close - thou hast not done as it behoved thee. Egypt was fated to suffer affliction one hundred and fifty years - the two kings who preceded thee upon the throne understood this - thou hast not understood it'. Mycerinus, when this answer reached him, perceiving that his doom was fixed, had lamps prepared, which he lighted every day at eventime, and feasted and enjoyed himself unceasingly both day and night, moving about in the marsh-country and the woods, and visiting all the places he heard were agreeable sojourns. His wish was to prove the oracle false, by turning night into days and so living twelve years in the space of six ...