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siva.sh/siva-purana/kotirudra-samhita/1/36

मल्लिकार्जुनसंभूतमुपलिंगमुदाहृतम् ।। रुद्रेश्वरमिति ख्यातं भृगुकक्षे सुखावहम् ।। ३६।।

The Upaliṅga of Mallikārjuna is glorified as Rudreśvara. It is pleasing and is stationed in Bhṛgukakṣa.

english translation

mallikArjunasaMbhUtamupaliMgamudAhRtam || rudrezvaramiti khyAtaM bhRgukakSe sukhAvaham || 36||

siva.sh/siva-purana/kotirudra-samhita/1/37

महाकालभवं लिंगं दुग्धेशमिति विश्रुतम्।। नर्मदायां प्रसिद्धं तत्सर्वपापहरं स्मृतम् ।। ३७।।

The Upaliṅga of Mahākāla is well known as Dugdheśa. It is famous in the region of Narmadā and is remembered as destructive of all sins.

english translation

mahAkAlabhavaM liMgaM dugdhezamiti vizrutam|| narmadAyAM prasiddhaM tatsarvapApaharaM smRtam || 37||

siva.sh/siva-purana/kotirudra-samhita/1/38

ॐकारजं च यल्लिंगं कर्दमेशमिति श्रुतम् ।। प्रसिद्धं बिन्दुसरसि सर्वकामफलप्रदम् ।। ३८ ।।

The Upaliṅga of Oṃkāra is famous as Kardameśa in the Bindu lake and yields the fruits of all desires.

english translation

OMkArajaM ca yalliMgaM kardamezamiti zrutam || prasiddhaM bindusarasi sarvakAmaphalapradam || 38 ||

siva.sh/siva-purana/kotirudra-samhita/1/39

केदारेश्वरसंजातं भूतेशं यमुना तटे ।। महापापहरं प्रोक्तं पश्यतामर्चतान्तथा ।। ३९।।

The Upaliṅga of Kedāreśvara is Bhūteśa on the banks of the Yamunā. It is destructive of sins of the visiting devotees.

english translation

kedArezvarasaMjAtaM bhUtezaM yamunA taTe || mahApApaharaM proktaM pazyatAmarcatAntathA || 39||

siva.sh/siva-purana/kotirudra-samhita/1/40

भीमशंकरसंभूतं भीमेश्वरमिति स्मृतम् ।। सह्याचले प्रसिद्धं तन्महाबलविवर्द्धनम् ।। ४०।।

The Upaliṅga of Bhīmaśaṅkara is Bhīmeśvara. It is famous in the Sahya mountain and it causes the increase of great strength.

english translation

bhImazaMkarasaMbhUtaM bhImezvaramiti smRtam || sahyAcale prasiddhaM tanmahAbalavivarddhanam || 40||