DARK 1

(Quick Effect): You can discard this card to the GY, then target 1 card in your opponent's GY; banish that target.

WIND 1

If a card(s) is added from the Main Deck to your opponent's hand, except during the Draw Phase (Quick Effect): You can send this card from your hand to the GY; for the rest of this turn, cards cannot be added from either player's Main Deck to the hand.

LIGHT 4

You can send 1 "Mathmech" monster, except "Mathmech Circular", from your Deck to your GY; Special Summon this card from your hand, also you can only attack with 1 monster for the rest of this turn. If a "Mathmech" monster is Normal or Special Summoned to your field while you control this monster (except during the Damage Step): You can add 1 "Mathmech" Spell/Trap from your Deck to your hand. You can only use each effect of "Mathmech Circular" once per turn.

WIND 4

If you control no cards (Quick Effect): You can discard this card; apply these effects this turn. ● Each time your opponent Special Summons a monster(s) from the Deck and/or Extra Deck, immediately draw 1 card. ● Once, during this End Phase, if the number of cards in your hand is more than the number of cards your opponent controls +6, you must randomly shuffle cards from your hand into the Deck so the number in your hand equals the number your opponent controls +6. You can only activate 1 other "Mulcharmy" monster effect, the turn you activate this effect.

WATER 4

If you control no cards (Quick Effect): You can discard this card; apply these effects this turn. ● Each time your opponent Normal or Special Summons a monster(s) from the hand, immediately draw 1 card. ● Once, during this End Phase, if the number of cards in your hand is more than the number of cards your opponent controls +6, you must randomly shuffle cards from your hand into the Deck so the number in your hand equals the number your opponent controls +6. You can only activate 1 other "Mulcharmy" monster effect, the turn you activate this effect.

DARK 4

If you Normal or Special Summon a "Time Thief" monster(s), except "Time Thief Adjuster" (except during the Damage Step): You can Special Summon this card from your hand. If this card is Normal or Special Summoned: You can send 1 "Time Thief" card from your Deck to the GY, except "Time Thief Adjuster". You can only use 1 "Time Thief Adjuster" effect per turn, and only once that turn.

DARK 4

(Quick Effect): You can Tribute this card, then target 1 "Time Thief" Xyz Monster you control; attach 1 card from your opponent's GY to that monster as material. If this card is in the GY: You can detach 1 material from an Xyz Monster you control; Special Summon this card, but banish it when it leaves the field. You can only use each effect of "Time Thief Bezel Ship" once per turn.

DARK 4

If you control no other monsters: You can Tribute this card; Special Summon 2 "Time Thief" monsters with different names from your Deck in Defense Position, except "Time Thief Regulator". When an Xyz Monster you control is destroyed by battle, while this card is in your GY: You can Special Summon this card, but banish it when it leaves the field. You can only use each effect of "Time Thief Regulator" once per turn.

DARK 4

You can detach 1 material from an Xyz Monster you control; Special Summon this card from your hand. If this card is Normal or Special Summoned: You can add 1 "Time Thief" card from your Deck to your hand, except "Time Thief Winder". You can only use each effect of "Time Thief Winder" once per turn.

FIRE 3

When a card or effect is activated that includes any of these effects (Quick Effect): You can discard this card; negate that effect. ● Add a card from the Deck to the hand. ● Special Summon from the Deck. ● Send a card from the Deck to the GY. You can only use this effect of "Ash Blossom & Joyous Spring" once per turn.

LIGHT 1

During your opponent's Main Phase (Quick Effect): You can send this card from your hand to the GY, then target 1 Effect Monster your opponent controls; negate the effects of that face-up monster your opponent controls, until the end of this turn.

LIGHT 4

When this card is Normal Summoned: You can target 1 Level 4 Cyberse monster in your GY; Special Summon it, but it cannot activate its effects. A "Mathmech" monster that was Synchro or Xyz Summoned using this card on the field as material gains the following effect. ● Once per turn, during the turn this card was Special Summoned, when your opponent activates a card or effect (Quick Effect): You can negate that effect. You can only use each effect of "Mathmech Diameter" once per turn.

DARK 4

You can Tribute 1 Cyberse monster; Special Summon 1 "Mathmech" monster from your Deck. If this card is sent to the GY: You can target 1 Cyberse monster you control in the Extra Monster Zone; it can make up to 2 attacks on monsters during each Battle Phase this turn. You can only use each effect of "Mathmech Nabla" once per turn.

LIGHT 4

If you control no monsters in the Extra Monster Zone, while this card is in your hand or GY: You can Special Summon this card, but banish it when it leaves the field, also you cannot Special Summon monsters from the Extra Deck for the rest of this turn, except Cyberse monsters. You can only use this effect of "Mathmech Sigma" once per turn. If this card you control is used as Synchro Material for a "Mathmech" monster, you can treat it as a non-Tuner.

WATER

2 Level 4 monsters While this card has a material attached that was originally WATER, all WATER monsters you control gain 500 ATK. Once per turn (Quick Effect): You can detach 1 material from this card; your opponent cannot activate any card effects in their GY this turn.

DARK

3 Level 5 monsters This Xyz Summoned card cannot be destroyed by card effects. You can detach 1 material from this card; this card gains ATK equal to the total original ATK of all other monsters on the field, then, if this card has a DARK Xyz Monster as material, negate the effects of all other face-up monsters on the field. After this effect resolves, you cannot declare attacks with other monsters for the rest of this turn. You can only use this effect of "Arc Rebellion Xyz Dragon" once per turn.

LIGHT

2 Level 4 monsters Once per chain, during your Main Phase or your opponent's Battle Phase, if your opponent has more total cards in their hand and field than you do (Quick Effect): You can detach 1 material from this card; destroy all other cards on the field, also your opponent takes no further damage this turn.

DARK

2 Level 4 monsters You can detach 1 material from this card, then target 1 Xyz Monster in your GY, except "Gagagaga Magician"; Special Summon it, but negate its effects. You can only use this effect of "Gagagaga Magician" once per turn. A "Utopic Future" Xyz Monster that has this card as material gains this effect. ● During your Main Phase: You can detach 2 materials from this card, then target 1 Xyz Monster you control; until the end of this turn, change its ATK to 4000, also negate its effects.

LIGHT

3 Xyz Monsters with the same Rank, except "Number" monsters (This card's original Rank is always treated as 1. This card is always treated as a "Utopic Future" card.) You can also Xyz Summon this card by using "Number F0: Utopic Future" you control as material. (Transfer its materials to this card.) Cannot be destroyed by battle or card effects. Once per turn, when your opponent activates a monster effect (Quick Effect): You can detach 1 material from this card; negate the activation, then, if that monster is on the field, gain control of it.

LIGHT

2 Xyz Monsters with the same Rank, except "Number" monsters (This card's original Rank is always treated as 1.) Cannot be destroyed by battle, and neither player takes any battle damage from attacks involving this card. At the end of the Damage Step, if this card battled an opponent's monster: You can take control of that opponent's monster until the end of the Battle Phase. If this face-up card on the field would be destroyed by a card effect, you can detach 1 material from this card instead.

EARTH

2+ Level 4 monsters You can Tribute 1 monster; Special Summon 1 Level 4 "Mathmech" monster from your hand or GY. If this card is Xyz Summoned: You can detach 2 to 4 materials from this card, then activate the appropriate effect; ● 2: Add 1 "Mathmech" card from your Deck to your hand. ● 3: Add 1 Level 4 monster from your Deck to your hand. ● 4: Add 1 Spell/Trap from your Deck to your hand. You can only use each effect of "Primathmech Alembertian" once per turn.

EARTH

3 Level 4 monsters If a "Mathmech" card(s) you control would be destroyed by card effect, you can detach 1 material from this card instead. If this card is Xyz Summoned: You can detach up to 3 materials from it, then choose that many effects (you cannot choose the same effect twice, and you resolve them in the listed order, skipping any that were not chosen); ● Send 1 random card from your opponent's hand to the GY. ● Send 1 monster your opponent controls to the GY. ● Send 1 Spell/Trap your opponent controls to the GY. You can only use this effect of "Primathmech Laplacian" once per turn.

DARK

2 Level 4 DARK monsters (This card is always treated as a "The Phantom Knights" and "Raidraptor" card.) You can detach 1 material from this card; Special Summon from your Extra Deck, 1 "The Phantom Knights", "Raidraptor", or "Xyz Dragon" Xyz Monster that is 1 Rank higher or lower than this card, by using this face-up card you control as material, but destroy it during your opponent's next End Phase. (This is treated as an Xyz Summon. Transfer its materials to the Summoned monster.) You can only use this effect of "Raider's Knight" once per turn.

DARK

2 Level 4 monsters During the Standby Phase: You can detach 1 material from this card, then target 1 "Time Thief" monster in your GY, except "Time Thief Perpetua"; Special Summon that monster. (Quick Effect): You can target 1 other Xyz Monster you control; attach 1 "Time Thief" card from your Deck to it as material. You can only use each effect of "Time Thief Perpetua" once per turn.

DARK

2 Level 4 monsters Once per turn, during the Standby Phase: You can attach the top card of your opponent's Deck to this card as material. (Quick Effect): You can detach up to 3 different types of materials from this card, then apply the following effect(s) depending on what was detached. ● Monster: Banish this card until the End Phase. ● Spell: Draw 1 card. ● Trap: Place 1 face-up card your opponent controls on the top of the Deck. You can only use this effect of "Time Thief Redoer" once per turn.

WIND

2 Level 4 monsters Once per turn (Quick Effect): You can detach 1 material from this card, then target 1 Spell/Trap on the field; destroy it.

Spell Quick

Target 1 monster in your opponent's GY; banish it, and if you do, until the end of the next turn, its effects are negated, as well as the activated effects and effects on the field of monsters with the same original name.

Spell Quick

Declare 1 card name; banish 1 of that declared card from your Main Deck, and if you do, negate its effects, as well as the activated effects and effects on the field of cards with the same original name, until the end of this turn. You can only activate 1 "Crossout Designator" per turn.

Spell Normal

Destroy all Spell and Trap Cards your opponent controls.

Spell Normal

Destroy all Spell and Trap Cards on the field.

Spell Normal

Target 1 "Mathmech" monster in your GY; Special Summon it, and if you do, it gains 1000 ATK until the end of this turn. You can only activate 1 "Mathmech Equation" per turn.

Spell Normal

Reveal 1 monster in your hand, choose 1 monster from your Deck that has exactly 1 of the same Type, Attribute, Level, ATK or DEF, and banish the revealed monster from your hand face-down. Then add, from the Deck to your hand, 1 monster that has exactly 1 of the same Type, Attribute, Level, ATK or DEF as the monster chosen from your Deck, and banish the card chosen from the Deck face-down. You can only activate 1 "Small World" per turn.

Trap Normal

Target 1 face-up monster your opponent controls; negate its effects (until the end of this turn), then, if this card was Set before activation and is on the field at resolution, for the rest of this turn all other Spell/Trap effects in this column are negated. If you control no cards, you can activate this card from your hand.

Trap Normal

Target up to 3 "Mathmech" monsters in your GY with different names, then activate 1 of these effects; ● Special Summon them, but their effects are negated, then, immediately after this effect resolves, Synchro Summon 1 "Mathmech" Synchro Monster using only those monsters, and shuffle the materials into the Deck instead of sending them to the GY. ● Special Summon them, but their effects are negated, then, immediately after this effect resolves, Xyz Summon 1 "Mathmech" Xyz Monster using only those monsters. You can only activate 1 "Mathmech Superfactorial" per turn.

Trap Counter

When a Spell/Trap Card is activated while you control a "Time Thief" Xyz Monster: Negate the activation, and if you do, attach that card to a "Time Thief" Xyz Monster you control as material. You can only activate 1 "Time Thief Retrograde" per turn.

LIGHT 4

You can send 1 "Mathmech" monster, except "Mathmech Circular", from your Deck to your GY; Special Summon this card from your hand, also you can only attack with 1 monster for the rest of this turn. If a "Mathmech" monster is Normal or Special Summoned to your field while you control this monster (except during the Damage Step): You can add 1 "Mathmech" Spell/Trap from your Deck to your hand. You can only use each effect of "Mathmech Circular" once per turn.

WIND 4

If you control no cards (Quick Effect): You can discard this card; apply these effects this turn. ● Each time your opponent Special Summons a monster(s) from the Deck and/or Extra Deck, immediately draw 1 card. ● Once, during this End Phase, if the number of cards in your hand is more than the number of cards your opponent controls +6, you must randomly shuffle cards from your hand into the Deck so the number in your hand equals the number your opponent controls +6. You can only activate 1 other "Mulcharmy" monster effect, the turn you activate this effect.

WATER 4

If you control no cards (Quick Effect): You can discard this card; apply these effects this turn. ● Each time your opponent Normal or Special Summons a monster(s) from the hand, immediately draw 1 card. ● Once, during this End Phase, if the number of cards in your hand is more than the number of cards your opponent controls +6, you must randomly shuffle cards from your hand into the Deck so the number in your hand equals the number your opponent controls +6. You can only activate 1 other "Mulcharmy" monster effect, the turn you activate this effect.

FIRE 3

When a card or effect is activated that includes any of these effects (Quick Effect): You can discard this card; negate that effect. ● Add a card from the Deck to the hand. ● Special Summon from the Deck. ● Send a card from the Deck to the GY. You can only use this effect of "Ash Blossom & Joyous Spring" once per turn.

LIGHT 1

During your opponent's Main Phase (Quick Effect): You can send this card from your hand to the GY, then target 1 Effect Monster your opponent controls; negate the effects of that face-up monster your opponent controls, until the end of this turn.

WATER

2 Level 4 monsters While this card has a material attached that was originally WATER, all WATER monsters you control gain 500 ATK. Once per turn (Quick Effect): You can detach 1 material from this card; your opponent cannot activate any card effects in their GY this turn.

DARK

3 Level 5 monsters This Xyz Summoned card cannot be destroyed by card effects. You can detach 1 material from this card; this card gains ATK equal to the total original ATK of all other monsters on the field, then, if this card has a DARK Xyz Monster as material, negate the effects of all other face-up monsters on the field. After this effect resolves, you cannot declare attacks with other monsters for the rest of this turn. You can only use this effect of "Arc Rebellion Xyz Dragon" once per turn.

LIGHT

2 Level 4 monsters Once per chain, during your Main Phase or your opponent's Battle Phase, if your opponent has more total cards in their hand and field than you do (Quick Effect): You can detach 1 material from this card; destroy all other cards on the field, also your opponent takes no further damage this turn.

DARK

2 Level 4 monsters You can detach 1 material from this card, then target 1 Xyz Monster in your GY, except "Gagagaga Magician"; Special Summon it, but negate its effects. You can only use this effect of "Gagagaga Magician" once per turn. A "Utopic Future" Xyz Monster that has this card as material gains this effect. ● During your Main Phase: You can detach 2 materials from this card, then target 1 Xyz Monster you control; until the end of this turn, change its ATK to 4000, also negate its effects.

LIGHT

3 Xyz Monsters with the same Rank, except "Number" monsters (This card's original Rank is always treated as 1. This card is always treated as a "Utopic Future" card.) You can also Xyz Summon this card by using "Number F0: Utopic Future" you control as material. (Transfer its materials to this card.) Cannot be destroyed by battle or card effects. Once per turn, when your opponent activates a monster effect (Quick Effect): You can detach 1 material from this card; negate the activation, then, if that monster is on the field, gain control of it.

EARTH

2+ Level 4 monsters You can Tribute 1 monster; Special Summon 1 Level 4 "Mathmech" monster from your hand or GY. If this card is Xyz Summoned: You can detach 2 to 4 materials from this card, then activate the appropriate effect; ● 2: Add 1 "Mathmech" card from your Deck to your hand. ● 3: Add 1 Level 4 monster from your Deck to your hand. ● 4: Add 1 Spell/Trap from your Deck to your hand. You can only use each effect of "Primathmech Alembertian" once per turn.

DARK

2 Level 4 monsters Once per turn, during the Standby Phase: You can attach the top card of your opponent's Deck to this card as material. (Quick Effect): You can detach up to 3 different types of materials from this card, then apply the following effect(s) depending on what was detached. ● Monster: Banish this card until the End Phase. ● Spell: Draw 1 card. ● Trap: Place 1 face-up card your opponent controls on the top of the Deck. You can only use this effect of "Time Thief Redoer" once per turn.

WIND

2 Level 4 monsters Once per turn (Quick Effect): You can detach 1 material from this card, then target 1 Spell/Trap on the field; destroy it.

Spell Quick

Target 1 monster in your opponent's GY; banish it, and if you do, until the end of the next turn, its effects are negated, as well as the activated effects and effects on the field of monsters with the same original name.

Spell Quick

Declare 1 card name; banish 1 of that declared card from your Main Deck, and if you do, negate its effects, as well as the activated effects and effects on the field of cards with the same original name, until the end of this turn. You can only activate 1 "Crossout Designator" per turn.

Spell Normal

Destroy all Spell and Trap Cards your opponent controls.

Spell Normal

Destroy all Spell and Trap Cards on the field.

Trap Normal

Target 1 face-up monster your opponent controls; negate its effects (until the end of this turn), then, if this card was Set before activation and is on the field at resolution, for the rest of this turn all other Spell/Trap effects in this column are negated. If you control no cards, you can activate this card from your hand.