The details of the AmnAya maTha-s established by Bhagavan Adi Shankaracharya are discussed in various works. The details of these maTha-s, differ from one source to another. Here is an examination of various sources.

maThAmnAyopanishat

Amnaya - pashchimAmnaya

Name of the Mutt - shAradA maTha

Sampradaya - kITavAri

Dashanami orders - tIrtha, Ashrama

Kshetra - dwArikA

Deity - siddheshwara

Shakti - bhadrakAlI

Tirtha - gaMgA, gomatI

Acharya - brahmaswarUpAchArya

Brahmachari order - swarUpa brahmachArI

Veda - sAmaveda

Maha Vakya - tattvamasi

AmnAya - pUrvAmnAya

Name of the Mutt - govardhana maTha

Sampradaya - bhogavAri

Dashanami orders - vana, araNya

Kshetra - puruShottama purI

Deity - jagannAtha

Shakti - vimalA

Tirtha - mahodadhi

Acharya - bhadra padmapAdAchArya

Brahmachari order - prakAsha brahmachArI

Veda - R^igveda

Maha Vakya - praj~nAnam brahma

AmnAya - uttarAmnAya

Name of the Mutt - jyotirmaTha

Sampradaya - AnandavAri

Dashanami orders - giri, parvata, sAgara

Kshetra - badarikAshrama

Deity - nArAyaNa

Shakti - pUrNagiri

Tirtha - alakanandA

Acharya - troTakAchArya

Brahmachari order - Ananda brahmachArI

Veda - atharvaNa veda

Maha Vakya - ayamAtmA brahma

AmnAya - dakShiNAmnaya

Name of the Mutt - shr~Ngagiri maTha

Sampradaya - bhUrivAri athavA bhUgiri

Dashanami orders - saraswatI, bhAratI, purI

Kshetra - rAmeshwara

Deity - Adi varAha

Shakti - kAmAkShI

Tirtha - tu~NgabhadrA

Acharya - pR^ithvIdharAchArya

Brahmachari order - chaitanya brahmachArI

Veda - yajurveda

Maha Vakya - aham brahmAsmi

AmnAya - UrdhwAmnAya

Name of the Mutt - sumeru maTha

Sampradaya - kAshikA

Dashanami orders - there is no dashanami order specified here. This is the order of Jivanmuktas like janaka, yAjnavalkya, shuka and vamadeva and brahmaniShTha-s like sanaka, sanandana, kapila and nArada.

Kshetra - kailAsa

Deity - nira~njana

Shakti - mAyA devI

Tirtha - mAnasa sarovara

Acharya - IshwarAchArya

Brahmachari order - ananta brahmachArI

Veda - Four Vedas

Maha Vakya (?) - gAyatrI turIya pAda, satyaM j~nAnamanantam brahma

AmnAya - AtmAmnAya

Name of the Mutt - paramAtmA maTha

Sampradaya - satya

Dashanami orders - there is no dashanami order specified here. This is the order of trinity: brahma, viShNu and maheshwara

Kshetra - nAbhikuNDalI

Deity - paramahamsa

Shakti - hamsa

Tirtha - trikuTI

Acharya - brahma, viShNu, maheshwara

Brahmachari order - jIva brahmachArI

Veda - hamsa

Maha Vakya (?) - ajapA

maThAmnAya mahAnushAsana

Amnaya - pashchimAmnaya

Name of the Mutt - shAradA maTha

Sampradaya - kITavAra

Dashanami orders - tIrtha, Ashrama

Kshetra - dwArakA

Deity - siddheshwara

Shakti - bhadrakAlI

Tirtha - gomatI

Acharya - vishwarUpAchArya

Brahmachari order - swarUpa brahmachArI

Veda - sAmaveda

Maha Vakya - tattvamasi

Gotra - avigata (?)

Regions managed by the mutt - sindhu, sauvIra saurAShTra, mahArAShTra and regions within these.

As the Yatis of this order bathe in the triveNI tIrtha formed by the three great words - tat, tvam and asi, the yogapaTTA here is 'tIrtha'. As they assume turIyAshrama having given up the desire of samsAra, they also assume the yogapaTTa of 'Ashrama'. As these yati-s, out of compassion, ward of dangers even to beings like kIta-s (insects), they belong to the sampradAya of kITavAra. As they are knowers of the true form of the self (swaswarUpa jnAna), abide by the rules of their Ashrama (swadharma paripalana) and sport in the bliss of the self (swAnanda krIDA), they are said to belong to the sect of swarUpa brahmacharya.

AmnAya - pUrvAmnAya

Name of the Mutt - govardhana maTha

Sampradaya - bhogavAra

Dashanami orders - vana, araNya

Kshetra - puruShottama purI

Deity - jagannAtha

Shakti - vimalA

Tirtha - mahodadhi

Acharya - padmapAdAchArya

Brahmachari order - prakAsha brahmachArI

Veda - R^igveda

Maha Vakya - praj~nAnam brahma

Gotra - kAshyapa

Regions managed by the mutt - a~Nga, va~Nga, kali~Nga, Magadha, utpala, Barbara

As these Yatis reside, having abandoned all desires, in uninhabited forests, they assume the yogapaTTa of 'vana'. Having sacrificed all luxuries of the world, these Yatis live in dense forests, ever immersed in the bliss of the self; hence they assume the yogapaTTa of 'araNya'. As they ward off indulgence in bhoga of their disciples, they are said to belong to the sampradAya of bhogavAra. Having mastered the knowledge of the self, as these Yatis illuminate the disciples with this knowledge (prakAsha), they are said to belong to the sect of prakAsha brahmacharya.

AmnAya - uttarAmnAya

Name of the Mutt - jyotirmaTha or shrImaTha

Sampradaya - AnandavAra

Dashanami orders - giri, parvata, sAgara

Kshetra - badarikAshrama

Deity - nArAyaNa

Shakti - pUrNagiri

Tirtha - alakanandA

Acharya - toTakAchArya

Brahmachari order - Ananda brahmachArI

Veda - atharvaNa veda

Maha Vakya - ayamAtmA brahma

Gotra - bhArgava

Regions managed by the mutt - kurukshetra, kAsmIra, kAmbhoja, pA~nchAla

As these Yatis reside on mountains, study gItA shAstra and have a steady mind like a giri, they assume the yogapaTTA of 'giri' and 'parvata'. As they have the gAmbhIrya of a sAgara, and are experts in finding the pearl of Atma Jnana from the ocean of shAstras, they also assume the yogapaTTa of 'sAgara'. As they ward off indulgence of their disciples in laukikAnanda (material pleasures) and lead them to the true bliss of the Brahman (brahmAnanda), they are said to belong to the sampradAya of AnandavAra. Immersed in contemplation on the Self, they radiate with the bliss of Atman and are hence said to belong to the sect of Ananda brahmacharya.

AmnAya - dakShiNAmnaya

Name of the Mutt - shr~Ngagiri maTha

Sampradaya - bhUrivAra

Dashanami orders - saraswatI, bhAratI, purI

Kshetra - rAmeshwara

Deity - Adi varAha

Shakti - kAmAkShI

Tirtha - tu~NgabhadrA

Acharya - hastAmalakAchArya

Brahmachari order - chaitanya brahmachArI

Veda - yajurveda

Maha Vakya - aham brahmAsmi

Gotra - bhUrbhuvaH

Regions managed by the mutt - draviDa, karnATa, kerala

As these Yatis are experts in the practice of Swara or Laya Yoga, are masters of poetry and act as knowledge barriers preventing the ocean of samsAra, they assume the yogapaTTa of 'saraswati'. Carrying the weight of true knowledge (vidyAbhAra), abandoning other associations (sarvabhAra parityAgI), they are unaware of the baggage of misery (duHkhabhAra) and hence assume the yogapaTTA of 'bhAratI'. As they reside in the city of the eternal truth called Paramatman, they also assume the yogapaTTA of 'puri'. As they ward off the indulgence of their disciples in activities aimed at achieving abundance of money or gold (bhUri sauvarNya), they are said to belong to the sampradAya of bhUrivAra. As their minds are free from vikAra-s like happiness, grief etc., and is filled with the chaitanya (conscious spirit) of Brahman, they are said to belong to the sect of chaitanya brahmacharya.

AmnAya - UrdhwAmnAya

Name of the Mutt - sumeru maTha

Sampradaya - kAshI

Dashanami orders - satya, jnAna

Kshetra - kailAsa

Deity - nira~njana

Shakti - mAyA devI

Tirtha - mAnasa sarovara

Acharya - IshwarAchArya

Veda - sUkShmaveda or the essence of the four vedas

AmnAya - swAtmAmnAya

Name of the Mutt - paramAtmA maTha

Sampradaya - satvatoSha

Dashanami orders - yoga

Kshetra - nAbhaH sarovara

Deity - paramahamsa

Shakti - mAnasI mAyA

Tirtha - tripuTI

Acharya - chetanAchArya

AmnAya - niShkalAmnAya

Name of the Mutt - sahasrArkadyutirmaTha

Sampradaya - sacChiShya

Dashanami orders - shrIgurupAdukA

Kshetra - anubhUti

Deity - vishwarUpa

Shakti - chicChakti

Tirtha - sacChAstrashravaNa

Acharya - Sadguru

maThAmnAyasetu

Amnaya - pashchimAmnaya

Name of the Mutt - shAradA maTha

Sampradaya - kITavAla

Dashanami orders - tIrtha, Ashrama

Kshetra - dwArikA

Deity - siddheshwara

Shakti - bhadrakAlI

Tirtha - gomatI

Acharya - padmapAdAchArya

Brahmachari order - swarUpa brahmachArI

Veda - sAmaveda

Maha Vakya - tattvamasi

AmnAya - pUrvAmnAya

Name of the Mutt - govardhana maTha

Sampradaya - bhogavAla

Dashanami orders - vana, araNya

Kshetra - purI

Deity - jagannAtha or puruShottama

Shakti - vR^iShalA

Tirtha - mahodadhi

Acharya - hastAmalakAchArya

Brahmachari order - prakAsha brahmachArI

Veda - R^igveda

Maha Vakya - praj~nAnam brahma

AmnAya - uttarAmnAya

Name of the Mutt - shrImaTha

Sampradaya - nandavAla

Dashanami orders - giri, parvata, sAgara

Kshetra - badarikAshrama

Deity - nArAyaNa

Shakti - pUrNagiri

Tirtha - alakanandA

Acharya - toTakAchArya

Brahmachari order - Ananda brahmachArI

Veda - atharvaNa veda

Maha Vakya - ayamAtmA brahma

AmnAya - dakShiNAmnaya

Name of the Mutt - shr~Ngagiri maTha

Sampradaya - bhUrivAla

Dashanami orders - saraswatI, bhAratI, purI

Kshetra - rAmeshwara

Deity - varAha, malahAnikara li~Nga

Shakti - shAradA

Tirtha - tu~NgabhadrA

Acharya - vArtikAchArya

Brahmachari order - chaitanya brahmachArI

Veda - yajurveda

Maha Vakya - aham brahmAsmi

uDDAmareshwara Tantra

AmnAya - pUrvAmnAya

Originates from - tatpuruSha

AchArya - toTakAchArya

Kritya - sR^iShTi

pITha - jagannAtha purI

AmnAya - dakShiNAmnAya

Originates from - aghora

AchArya - sureshwarAchArya

Kritya - sthiti

pITha - R^iShyashR^i~NgapurI

AmnAya - pashchimAmnAya

Originates from - sadyojAta

AchArya - padmapAdAchArya

Kritya - hR^iti

pITha - dwArakA

AmnAya - uttarAmnAya

Originates from - vAmadeva

AchArya - hastamalakAchArya

Kritya - tirodhAna

pITha - jyotirmaTha, badarikAshrama

AmnAya - UrdhwAmnAya

Originates from - IshAna

AchArya - bhagavatpAda shankara

Kritya - anugraha

pITha - kAmakoTi

AmnAya - anuttarAmnAya

Originates from - vimarsha

AchArya - dakShiNAmUrti

Kritya - Ananda

pITha - maNidwIpa in shrInagara