john-constantines-spells:

Constantine 1×05: Danse Vaudou.

John telling Papa Midnite about what spell he planned to use to send the dead on their way – Relictum Spiritum Ex Purgationes or Relictum spiritum expurgationis [“Abandoned Spirits from the Purgatory” (Latin)]

(If anyone happens to have a transcription of the entire command/spell used, please let me know. Thank you)

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Update #1 with thanks to thehallofjudgment​:

The spell used is Relictum Spiritum Ex Purgationes or Relictum spiritum expurgationis [“Abandoned Spirits from the Purgatory” (Latin)]

An update on the spell used in Danse Vaudou, with thanks to thehallofjudgment

Constantine 1×08: The Saint of Last Resorts.

John invoking Pazuzu.

“Kaskassu sutu ilu, il Pazuzu. Kunu bel-palluhi nabu kunu utukku!”

(If anyone happens to have a transcription of the entire command/spell used, please let me know. Thank you)

Update #1 from TV Transcripts Database:

“Kaskassu sutu ilu, il Pazuzu. Kunu bel-palluhi nabu kunu utukku!”

Update #2 from @dosintheshell:

“Kaskassu sutu ilu, il Pazuzu. Kunu bel-palluhi nabu kunu utukku”

Kaskassu – overpowering
sutu – south wind
ilu,il -GOD
Kunu – Genitive,Plural ,masculine (https://en.wikipedia.org/wiki/Akkadian_language)
Bel-palluhi -??? son of the king may be or prince,I dont know =)
Nabu -? dont know  its assirian god (https://en.wikipedia.org/wiki/Nabu)
Utukku – evil demon (https://en.wikipedia.org/wiki/Utukku)

The following is a curious example of such an invocation, found engraved in cuneiform on a statue of the Assyrian demon Pazuzu. Although it seems to constitute an identification with the demon, it was actually considered a protective amulet with the power to command this entity not to harm people or their possessions (https://en.wikipedia.org/wiki/Invocation): 
“I am Pazuzu, son of the king of the evil spirits, that one who descends impetuously from the mountains and bring the storms. That is the one I am.”

Constantine 1×08: The Saint of Last Resorts.

Spell to reveal a Goddess (a Sister of Eve) – Lamashtu.

“Axis mundi, produco tuus vires. (muttering) Reveal the evil within the fountain before me within this bowl and hour-”

“The axis of the world, (I) produce your strengths.” [From I Love Translation]

(If anyone happens to have a transcription of the entire command/spell used, please let me know. Thank you)

Update #1 from TV Transcript Database:

“Axis mundi, produco tuus vires.”

Constantine 1×07: Blessed are the Damned.

Protection spell using running water to keep evil out.

“Akasha, mi geill mo prana ri sibh (missing word or two).”

(If anyone happens to have a transcription of the entire command/spell used, please let me know. Thank you)

Update #1 from TV Transcript Database:

“Akasha, mi geill mo prana ri sibh”