Gimble's Shocking Burst - An advanced form of Lightning Burst. As a bonus to Lightning Burst it has a faster casting time and interrupts casting.
Sonius' Boon of the Magus - An advanced form of Gift of the Magi. As a bonus to Gift of the Magi it also increases maximum hit points.
Telamina's Pulsating Feedback - An advanced form of Static Pulse. As a bonus to Static Pulse it reduces the target's movement speed.
Camtur's Energizing Aura - An advanced form of Magi's Shielding. As a bonus to Magi's Shielding it increases the summoner's minion's maximum health and arcane mitigation.
Pandrus' Tellurian Hero - An advanced form of Tellurian Recruit. As a bonus to Tellurian Recruit it summons a different creature with new special attacks.
Arconicus' Geotic Blessing - An advanced form of Earthly Brand. As a bonus to Earthly Brand it adds maximum power to all minions within the party.
Corryn's Bewildering Bolt - An advanced form of Petrify. As a bonus to Petrify it significantly reduces magic mitigation.
Ganla's Whipping Wind - An advanced form of Dust Blast. As a bonus to Dust Blast it deals additional magic damage over-time.
Trazin's Gravity Bolt - An advanced form of Immobilize. As a bonus to Immobilize it has a longer duration.
Xoort's Igneous Savant - An advanced form of Igneous Apprentice. As a bonus to Igneous Apprentice it summons a different creature that possesses new special attacks.
Varski's Encouraging Ward - An advanced form of Provocation. As a bonus to Provocation it reduces the recurring power cost.
Ulinara's Torrid Gust - An advanced form of Shattered Ground. As a bonus to Shattered Ground it deals heat damage instead of magic and reduces strength and agility.
Taneranthalis' Shuddering Ground - An advanced form of Tremor. As a bonus to Tremor it reduces your opponent’s movement speed.
Bleemb's Draining Blast - An advanced form of Frozen by Time. As a bonus to Frozen by Time it depletes power for the duration of the stun.
Menai's Lasting Essence - An advanced form of Sliver of Essence. As a bonus to Sliver of Essence it summons an item with three charges and may be used more frequently.
Adlam's Frost Shards - An advanced form of Roaring Flames. As a bonus to Roaring Flames it deals cold damage instead of heat damage.
Upgrades are by this color, and if necessary this color.
SPELLS BY TYPE
2 - Unknown
CC = Crowd Control
5 - Arcane Bindings (Root)
19 - Immobilize (Root)
16 - Petrify (Stun)
33 - Quicksand (Root, +brief movement speed reduction on expire)
47 - Quagmire (Root, +brief movement speed reduction when root expires)
Curative/Power Regeneration
6 - Cure Arcane (Cures Magic, Mental and Divine Ailments)
18 - Splinter of Essence (Summons splinter to target, HP to Power transfer)
33 - Sliver of Essence (Summons item that sacrifices health for power)
47 - Shard of Essence (Summons item that sacrifices health for power)
27 - Instant Vim (Converts health to power)
41 - Instant Vigor (Converts health to power)
Utility
13 - Aqueous Stone (Summons EB stone to target)
18 - Invisibility
35 - Veil of Mist (Invis, decreased movement)
45 - Cloak of Mist (Invis)
20 - Illusion: Fire Elemental
30 - Illusion: Water Elemental
35 - Illusion: Air Elemental
45 - Group Illusion: Air Elemental
40 - Illusion: Earth Elemental
50 - Group Illusion: Earth Elemental
Debuffs
9 - Dispel Arcane (Debuff)
DD = Single Target Direct Damage
1 - Lightning Burst (Magic DD)
13 - Dust Blast (Magic DD)
30 - Frozen by Time (Stun + Magic DD)
44 - Heatwave (Stun, +Heat DD)
Group Buff
7 - Gift of the Magi (GroupBuff: +power, +Magic mitigation)
12 - Earthly Brand (GroupBuff: +stamina, +intelligence, + cold resist)
29 - Alluvial Brand (GroupBuff: +stamina, +intelligence, +Cold mitigation)
40 - Geotic Brand (GroupBuff: +stamina, +intelligence, +cold mitigation, also pets receive +ac, +health)
21 - Pullulation (GroupBuff: +power, +arcane mitigation)
32 - Embers (GroupBuff: +power, +arcane mitigation)
49 - Phlogiston (GroupBuff: +power, +arcane mitigation, increase hate gained by conjuor and allies' summoned minions)
23 - Fire Seed (GroupBuff: +proc Heat DD, Interrupt, Impairment)
37 - Infernus Seed (GroupBuff: +proc Deat DD, interrupt, *if mob dies while afflicted AoE Heat DD)
Self Buff
4 - Magi's Shielding (SelfBuff: +power, +health, + Trauma mitigation)
43 - Stoneskin (SelfBuff: prevents 3 attacks and reduces hate for each hit, mobs far above the conjuror might ignore the prevention)
Single Target Buff
9 - See Invisibility (Buff)
28 - Volatile Refuge (Augmentation absorbs Trauma & Elemental dmg until depleted or duration expires)
42 - Volatile Haven (TargetBuff?: Absorbs Trauma and Elemental Damage, lasts until depleted or expires)
45 - Flameshield (TargetBuff: Heat DS)
He uses indentation and color to signify upgrades to previous spells, or at least his best guesses. Indents aren't working here, so I tried to use just the color. I apologize if it's unclear...
He also notes that Conjurors appear to get a third upgrade to the Fighter pet line, whereas the Necro only gets 2.